一公斤等于多少千克(1-6数学公式全汇总)
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<p data-track="1" style="box-sizing: border-box; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255); margin-top: 0px !important;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">1.单位换算：</span></span></p><p data-track="2" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1公里＝1千米＝1000米 1米＝10分米</span></span></p><p data-track="3" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">1分米＝10厘米 1厘米＝10毫米</span></span></p><p data-track="4" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1平方米＝100平方分米 1平方分米＝100平方厘米</span></span></p><p data-track="5" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">1平方厘米＝100平方毫米</span></span></p><p data-track="6" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1立方米＝1000立方分米1立方分米＝1000立方厘米</span></span></p><p data-track="7" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">1立方厘米＝1000立方毫米</span></span></p><p data-track="8" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1吨＝1000千克 1千克=1000克=1公斤=2市斤</span></span></p><p data-track="9" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1公顷＝10000平方米1亩＝666.666平方米</span></span></p><p data-track="10" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1升＝1立方分米＝1000毫升 1毫升＝1立方厘米</span></span></p><p data-track="11" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1元=10角 1角=10分 1元=100分</span></span></p><p data-track="12" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1世纪=100年 1年=12月</span></span></p><p data-track="13" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">大月(31天)有：1、3、5、7、8、10、12月</span></span></p><p data-track="14" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">小月(30天)的有：4、6、9、11月</span></span></p><p data-track="15" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">平年2月28天，闰年2月29天</span></span></p><p data-track="16" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">平年全年365天，闰年全年366天</span></span></p><p data-track="17" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">1日=24小时 1时=60分=3600秒1分=60秒</span></span></p><p data-track="18" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">2.数量关系：</span></span></p><p data-track="19" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►每份数×份数＝总数 总数÷每份数＝份数 总数÷份数＝每份数</span></span></p><p data-track="20" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►1倍数×倍数＝几倍数 几倍数÷1倍数＝倍数 几倍数÷倍数＝1倍数</span></span></p><p data-track="21" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►速度×时间＝路程 路程÷速度＝时间 路程÷时间＝速度</span></span></p><p data-track="22" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►单价×数量＝总价 总价÷单价＝数量 总价÷数量＝单价</span></span></p><p data-track="23" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►工作效率×工作时间＝工作总量</span></span></p><p data-track="24" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">工作总量÷工作效率＝工作时间</span></span></p><p data-track="25" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">工作总量÷工作时间＝工作效率</span></span></p><p data-track="26" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►加数＋加数＝和 和－一个加数＝另一个加数</span></span></p><p data-track="27" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►被减数－减数＝差</span></span></p><p data-track="28" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">被减数－差＝减数 差＋减数＝被减数</span></span></p><p data-track="29" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►因数×因数＝积 积÷一个因数＝另一个因数</span></span></p><p data-track="30" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►被除数÷除数＝商 被除数÷商＝除数 商×除数＝被除数</span></span></p><p data-track="31" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">3.特殊问题:</span></span></p><p data-track="32" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►相遇问题</span></span></p><p data-track="33" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">相遇路程＝速度和×相遇时间</span></span></p><p data-track="34" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">相遇时间＝相遇路程÷速度和</span></span></p><p data-track="35" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">速度和＝相遇路程÷相遇时间</span></span></p><p data-track="36" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►追及问题</span></span></p><p data-track="37" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">追及距离＝速度差×追及时间</span></span></p><p data-track="38" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">追及时间＝追及距离÷速度差</span></span></p><p data-track="39" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">速度差＝追及距离÷追及时间</span></span></p><p data-track="40" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►流水问题</span></span></p><p data-track="41" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">（1）一般公式：</span></span></p><p data-track="42" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">顺流速度＝静水速度＋水流速度</span></span></p><p data-track="43" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">逆流速度＝静水速度－水流速度</span></span></p><p data-track="44" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">静水速度＝（顺流速度＋逆流速度）÷2</span></span></p><p data-track="45" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">水流速度＝（顺流速度－逆流速度）÷2 </span></span></p><p data-track="46" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">（2）两船相向航行的公式：</span></span></p><p data-track="47" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">甲船顺水速度+乙船逆水速度=甲船静水速度+乙船静水速度</span></span></p><p data-track="48" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">（3）两船同向航行的公式：</span></span></p><p data-track="49" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">后（前）船静水速度-前（后）船静水速度=两船距离缩小（拉大）速度</span></span></p><p data-track="50" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►浓度问题</span></span></p><p data-track="51" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">溶质的重量＋溶剂的重量＝溶液的重量</span></span></p><p data-track="52" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">溶质的重量÷溶液的重量×100%＝浓度</span></span></p><p data-track="53" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">溶液的重量×浓度=溶质的重量</span></span></p><p data-track="54" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">溶质的重量÷浓度＝溶液的重量</span></span></p><p data-track="55" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►利润与折扣问题</span></span></p><p data-track="56" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">利润＝售出价－成本</span></span></p><p data-track="57" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">利润率＝利润÷成本×100%＝(售出价÷成本－1)×100%</span></span></p><p data-track="58" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">涨跌金额＝本金×涨跌百分比</span></span></p><p data-track="59" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">折扣＝实际售价÷原售价×100%(折扣＜1)</span></span></p><p data-track="60" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">利息＝本金×利率×时间</span></span></p><p data-track="61" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">税后利息＝本金×利率×时间×(1－5%)</span></span></p><p data-track="62" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►工程问题</span></span></p><p data-track="63" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">工作效率×工作时间=工作总量</span></span></p><p data-track="64" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">工作总量÷工作时间=工作效率</span></span></p><p data-track="65" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">工作总量÷工作效率=工作时间</span></span></p><p data-track="66" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">1÷工作时间=单位时间内完成工作总量的几分之几</span></span></p><p data-track="67" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">1÷单位时间能完成的几分之几=工作时间</span></span></p><p data-track="68" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">4.几何公式：</span></span></p><p data-track="69" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►长方形的周长=（长+宽）×2 C=(a+b)×2</span></span></p><p data-track="70" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►长方形的面积=长×宽 S=ab</span></span></p><p data-track="71" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►正方形的周长=边长×4 C=4a</span></span></p><p data-track="72" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►正方形的面积=边长×边长 S=a·a</span></span></p><p data-track="73" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►三角形的面积=底×高÷2 S=ah÷2</span></span></p><p data-track="74" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►三角形的内角和＝180度</span></span></p><p data-track="75" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►平行四边形的面积=底×高 S=ah</span></span></p><p data-track="76" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►梯形的面积=（上底+下底）×高÷2 S=（a＋b）h÷2</span></span></p><p data-track="77" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►圆的直径=半径×2（d=2r）</span></span></p><p data-track="78" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►圆的半径=直径÷2（r=d÷2）</span></span></p><p data-track="79" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►圆的周长=圆周率×直径=圆周率×半径×2 C=πd =2πr</span></span></p><p data-track="80" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►圆的面积=圆周率×半径×半径 S=πr×r</span></span></p><p data-track="81" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►长方体的体积＝长×宽×高 V=abh</span></span></p><p data-track="82" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►正方体的体积＝棱长×棱长×棱长V=aaa►圆柱的侧面积：圆柱的侧面积等于底面的周长乘高</span></span></p><p data-track="83" class="syl-line-pure-english" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">S=ch=πdh＝2πrh</span></span></p><p data-track="84" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►圆柱的表面积：圆柱的表面积等于底面的周长乘高再加上两头的圆的面积 S=ch+2s=ch+2πr×r</span></span></p><p data-track="85" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►圆柱的体积：圆柱的体积等于底面积乘高 V=Sh</span></span></p><p data-track="86" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">►圆锥的体积＝1/3底面×积高 V=1/3Sh</span></span></p><p data-track="87" class="syl-page-br" style="box-sizing: border-box; margin-top: 18px; margin-bottom: 18px; padding: 0px; border: 0px; height: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><br style="box-sizing: border-box;"/></p><p data-track="88" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">概念部分</span></span></p><p data-track="89" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">1.整数概念：</span></span></p><p data-track="90" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【自然数】我们在数物体的时候，用来表示物体个数的1，2，3，4，5，...叫做自然数。一个物体也没有，用“0”表示，“0”也是自然数，它是最小的自然数，没有最大的自然数，自然数是无限的。【整数】在小学阶段，整数通常指自然数。</span></span></p><p data-track="91" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【数字】表示数目的符号叫做数字，通常把数字叫做数码。</span></span></p><p data-track="92" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【加法】把两个数合并成一个数的运算，叫做加法。</span></span></p><p data-track="93" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【加数】在加法中相加的两个数，叫做加数。</span></span></p><p data-track="94" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【和】在加法中两个加数相加得到的数叫做和。</span></span></p><p data-track="95" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【减法】已知两个数的和与其中一个数，求另一个加数的运算，叫做减法。</span></span></p><p data-track="96" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【被减数】在减法中，已知的和叫做被减数。</span></span></p><p data-track="97" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【减数】在减法中，减去的已知加数叫做减数。</span></span></p><p data-track="98" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【差】在减法中，求出的未知加数叫做差。</span></span></p><p data-track="99" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【乘法】求几个相同加数的和的简便运算，叫做乘法。</span></span></p><p data-track="100" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【因数】在乘法中，相乘的两个数都叫做积的因数。</span></span></p><p data-track="101" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【积】在乘法中，乘得的结果叫做积。</span></span></p><p data-track="102" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【除法】已知两个因数的积，与其中一个因数，求另一个因数的运算，叫做除法。</span></span></p><p data-track="103" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【被除数】在除法中已知的积叫做被除数。</span></span></p><p data-track="104" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【除数】在除法中，已知的一个因数叫做除数。</span></span></p><p data-track="105" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【商】在除法中，未知的因数叫做商。</span></span></p><p data-track="106" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【计数单位】一，十，百，千，万，十万，百万，千万，亿......都叫做计数单位。</span></span></p><p data-track="107" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【十进制计数法】每相邻的两个计数单位间的进率是十。这种计数方法叫做十进制计数法。</span></span></p><p data-track="108" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【数位】写数的时候，把计数单位按照一定的顺序排列起来，它们所占的位置叫做数位。一个数字所在的数位不同，表示的数的大小也不同。第一个数位称为个位，依次是十位，百位，千位，万位，十万位......</span></span></p><p data-track="109" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【有余数除法】一个整数除以另一个不为零的整数，得到整数的商以后还有余数，这样的除法叫做有余数的除法。余数比除数小。</span></span></p><p data-track="110" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【整数四则混合运算】我们学过的加减乘除四种运算，统称为四则运算。</span></span></p><p data-track="111" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【第一级运算】在四则运算中，加法和减法叫做第一级运算。</span></span></p><p data-track="112" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【第二级运算】在四则运算中，乘法和除法叫做第二级运算。</span></span></p><p data-track="113" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【整除】两个整数相除，如果用字母表示可以这样说：整数a除以整数b(b不等于0)除得的商正好是整数而没有余数，我们就说a能被b整除，也可以说b能整除a。</span></span></p><p data-track="114" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【约数和倍数】如果数a能被b（b不等于0）整除，a叫做b的倍数，b叫做a的约数或a的因数。倍数和约数是相互依存的。一个数的约数的个数是有限的，其中最小的约数是1，最大的约数是它本身。一个数的倍数的个数是无限的，其中最小的倍数是它本身。</span></span></p><p data-track="115" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">例如，15能被3整除，我们就说15是3的倍数，3是15的约数。【偶数】能被2整除的数叫做偶数，因为0也能被2整除，所以0也是偶数。</span></span></p><p data-track="116" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【奇数】不能被2整除的数叫做奇数。例如 1、3、5、7......</span></span></p><p data-track="117" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【质数】一个数，如果只有1和它本身两个约数，这样的数叫做质数或者素数。例如2、3、5、7、11都是质数。</span></span></p><p data-track="118" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【素数】素数就是质数。</span></span></p><p data-track="119" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【合数】一个数，如果除了1和它本身还有别的约数，这样的数叫做合数。1不是质数，也不是合数。例如4、6、8、9、10、12......都是合数。</span></span></p><p data-track="120" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【质因数】每个合数都可以写成几个质数相乘的形式。其中每个质数都是这个合数的因数，叫做这个合数的质因数。</span></span></p><p data-track="121" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分解质因数】把一个合数用质因数相乘的形式表示出来，叫做分解质因数。例如：12=3*2*2</span></span></p><p data-track="122" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【公约数】几个数公有的约数，叫做这几个数的公约数。</span></span></p><p data-track="123" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【最大公约数】在几个数的公约数中最大的一个，叫做这几个数的最大公约数。例如1，2，4是8和12的公约数；4是8和12的最大公约数。</span></span></p><p data-track="124" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【互质数】公约数只有1的两个数，叫做互质数。例如5和7是互质数，8和9也是互质数。</span></span></p><p data-track="125" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【公倍数】几个数公用的倍数，叫做这几个数的公倍数。</span></span></p><p data-track="126" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【最小公倍数】在几个数的公倍数中最小的一个，叫做这几个数的最小公倍数。例如12，24，36......都是4和6的公倍数，12是4和6的最小公倍数。</span></span></p><p data-track="127" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【单价数量总价】每件商品的价钱，我们叫它单价，买了多少，叫做数量，一共用了多少钱，叫总价。总价=单价×数量</span></span></p><p data-track="128" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【速度、时间、路程】每小时（或每分钟或者每天）行进的路程，我们叫它速度，行进了几小时（或几分钟或几天）我们叫它时间，一共行进多少路，我们叫它路程。路程=速度×时间</span></span></p><p data-track="129" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【加法交换律】两个数相加，交换加数的位置，它们的和不变，这叫做加法交换律。字母表示：a+b=b+a</span></span></p><p data-track="130" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【加法结合律】三个数相加，先把前两个数相加，再同第三个数相加；或先把后两个数相加，再同第一个数相加，它们的和不变。这叫做加法结合律。字母表示：(a+b)+c=a+(b+c）</span></span></p><p data-track="131" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【乘法交换律】两个数相乘，交换因数的位置，它们的积不变。这叫做乘法交换律。字母表示：a×b = b×a</span></span></p><p data-track="132" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【乘法结合律】三个数相乘，先把前两者相乘，再同第三个数相乘；或者先把后两个数相乘，再同第一个数相乘，它们的积不变，这叫做乘法结合律。字母表示：(a×b)×c=a×(b×c)</span></span></p><p data-track="133" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【乘法分配律】两个数的和同一个数相乘，可以把两个加数分别同这个数相乘，再把两个积相加，结果不变。这叫做乘法分配率。</span></span></p><p data-track="134" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">字母表示：（a＋b）×c=a×c+b×c</span></span></p><p data-track="135" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【三、四位数的加法法则】(1)相同数位对齐;(2)从个位加起;(3)哪一位上的数相加满十,要向前一位进一。</span></span></p><p data-track="136" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【乘数是一位数的乘法法则】（1）从个位起，用乘数依次乘被乘数的每一位数；（2）哪一位上乘得的积满几十，就向前一位进几。0和任何数相乘都得0。</span></span></p><p data-track="137" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【两个因数和积的变化规律】一个因数不变，另一个因数扩大（或缩小）若干倍，积也扩大（或缩小）若干倍。</span></span></p><p data-track="138" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【除法中商不变的性质】在除法里，被除数和除数同时扩大（或缩小）相同的倍数（零除外），商不变。</span></span></p><p data-track="139" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【乘法各部分间的关系】因数×因数=积 一个因数=积÷另一个因数</span></span></p><p data-track="140" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【除法各部分间的关系】被除数÷除数=商 除数=被除数÷商 被除数=商×除数</span></span></p><p data-track="141" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【乘法的验算方法】用所得的积除以一个因数，如果得到另一个因数，就是乘法做对了。</span></span></p><p data-track="142" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【除法的验算方法】用除数和商相乘，如果得到被除数，或者用被除数除以商，如果得到除数，就是除法做对了。</span></span></p><p data-track="143" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【乘法的简便算法】三个数相乘，可以先把后面两个数相乘，再和第一个数相乘，结果不变。利用这个规律，有时一个数连续乘以两个一位数，改成乘以两个一位数的积，比较简便；有时一个数乘以两位数，改成连续乘以两个一位数，计算比较简便。</span></span></p><p data-track="144" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">例如:6×12×5=6×(12×5)</span></span></p><p data-track="145" class="syl-line-pure-english" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">25×16=25×(4×4)=25×4×4</span></span></p><p data-track="146" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【除法的简便算法】一个数连续用两个数除,每次都能除尽的时候,可以先把两个除数相乘,用它们的积去除这个数,结果不变。利用这个规律,有时一个数连续除以2个一位数,改成除以这2个一位数的积,比较简便;有时一个数除以两位数,改成连续除以2个一位数,比较简便。</span></span></p><p data-track="147" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">例如：1000÷25÷4=1000÷(25×4) 420÷35=420÷7÷5</span></span></p><p data-track="148" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【解答应用题的步骤】(1)弄清题意，并找出已知条件和所求问题；(2)分析题里数量间的关系，确定先算什么，再算什么，最后算什么(3)确定每一步该怎样算，列出算式，算出得数；(4)进行检验，写出答案。</span></span></p><p data-track="149" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【检验应用题】(1)按照原来的题意，依次检查每一步列式和计算，看是否正确(2)把得数当作已知条件，按照题意倒看一步一步地计算，看结果是不是符合原来的一个已知条件。</span></span></p><p data-track="150" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【多位数的写法】(1)从高位起，一级一级地往下写；(2)哪个数位上一个数也没有，就在哪个数位上写0。</span></span></p><p data-track="151" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">例如：七千零三亿零二十万写作700300200000【加法各部分间的关系】和=加数+加数 加数=和-另一个加数</span></span></p><p data-track="152" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【减法各部分间的关系】差=被减数-减数 减数=被减数-差 被减数=减数+差</span></span></p><p data-track="153" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【加减法的简便运算】一个数连续减去两个数，等于这个数减去两个数的和。例如130-46-34=130-80=50</span></span></p><p data-track="154" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【有余数除法各部分间的关系】被除数=商×除数+余数</span></span></p><p data-track="155" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【同级运算的顺序】一个算式里，如果只含有同一级运算，要从左往右依次计算。</span></span></p><p data-track="156" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【不同级运算的运算顺序】一个算式里，如果含有两级运算，要先做第二级运算，后做第一级运算。例如100-7×5=100-35=65</span></span></p><p data-track="157" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">2.小数概念：</span></span></p><p data-track="158" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数】仿照整数的写法，写在整数的右面，用圆点隔开，用来表示十分之几，百分之几，千分之几......的数，叫做小数。例如0.2表示十分之二，0.02表示百分之二。</span></span></p><p data-track="159" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数的计数单位】小数的计数单位是十分之一，百分之一，千分之一......分别写作0.1，0.01，0.001......</span></span></p><p data-track="160" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数加法】小数加法的意义与整数加法的意义相同，是把两个数合并成一个数的运算。</span></span></p><p data-track="161" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数减法】小数减法的意义与整数减法的意义相同，是已知2个加数的和与其中一个加数，求另一个加数的运算。</span></span></p><p data-track="162" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数乘整数】小数乘整数的意义与整数乘法的意义相同，就是求几个相同加数的和的简便运算。</span></span></p><p data-track="163" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【一个数乘小数】一个数乘小数的意义是求这个数的十分之几，百分之几，千分之几......</span></span></p><p data-track="164" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数除法】小数除法的意义和整数除法的意义相同，是已知两个因数的积与其中一个因数，求另一个因数的运算。</span></span></p><p data-track="165" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【循环小数】一个小数，从小数部分的某一位起，一个数字或者几个数字依次不断地重复出现，这样的小数叫做循环小数。</span></span></p><p data-track="166" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【循环节】一个循环小数的小数部分，依次不断地重复出现的数字，叫做这个循环小数的循环节。</span></span></p><p data-track="167" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【纯循环小数】循环节从小数部分第一位开始的，叫做纯循环小数。</span></span></p><p data-track="168" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【混循环小数】循环节不从小数部分第一位开始的，叫做混循环小数。</span></span></p><p data-track="169" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【有限小数】小数部分的位数是有限的小数，叫做有限小数。</span></span></p><p data-track="170" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【无限小数】小数部分的位数是无限的小数，叫做无限小数。循环小数是无限小数。</span></span></p><p data-track="171" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数的性质】小数的末尾添上0或者去掉0，小数的大小不变，这叫做小数的性质。</span></span></p><p data-track="172" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数加减法的计算法则】计算小数加减法，先把各数的小数点对起，再按照整数加减法的法则进行计算，最后在得数里对齐横线</span></span></p><p data-track="173" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">上的小数点点上小数点。得数的小数部分末尾有0，一般要把0去掉。</span></span></p><p data-track="174" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数乘法的计算法则】计算小数乘法，先按照整数乘法的法则算出积，再看因数中一共有几位小数，就从积的右边数出几位，点上小数点。</span></span></p><p data-track="175" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【除数是整数的小数除法法则】除数是整数的小数除法，按照整数除法的法则去除，商的小数点要和被除数的小数点对齐；如果除到被除数的末尾仍有余数，就在余数后面添0再继续除。</span></span></p><p data-track="176" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【除数是小数的小数除法法则】除数是小数的除法，先移动除数的小数点，使它变整数；除数的小数点向右移动几位，被除数的小数点也向右移动几位（位数不够的，在被除数的末尾用“0”补足）；然后按照除数是整数的小数除法进行计算。</span></span></p><p data-track="177" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数的读法】读小数的时候，整数部分按照整数的读法来读，（整数部分是“0”的读作“零”），小数点读作“点”，小数部分通常顺次读出每一个数位上的数字。</span></span></p><p data-track="178" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数的写法】写小数的时候，整数部分按照整数的写法来写(整数部分是零的写做数字“0”），小数点写在个位右下角，小数部分顺次写出每一个数位上的数字。</span></span></p><p data-track="179" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数性质的应用】（1）根据小数的性质，遇到小数末尾有“0”的时候，一般地可以去掉末尾“0”，把小数化简。（2）有时根据需要，可以在小数的末尾添上“0”，还可以在整数的个位和右下角点上小数点，再添上0，把整数写成小数形式。</span></span></p><p data-track="180" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">3.分数概念：</span></span></p><p data-track="181" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分数线】在分数里，中间的横线叫做分数线。</span></span></p><p data-track="182" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分母】在分数里，分数线下面的数叫做分母，表示把单位“1”平均分成多少份。</span></span></p><p data-track="183" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分子】在分数里，分数线上面的数叫做分子，表示有这样的多少份。</span></span></p><p data-track="184" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分数单位】按照分母数字把单位“1”分成相等份数，表示其中一份的数，叫做分数单位。例如六分之五的分数单位是六分之一。</span></span></p><p data-track="185" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【真分数】分子比分母小的分数叫做真分数。真分数小于1。</span></span></p><p data-track="186" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【假分数】分子比分母大或者分子和分母相等的分数，叫做假分数。</span></span></p><p data-track="187" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【带分数】由整数和真分数合成的数，通常叫做带分数。例如二又五分之一。</span></span></p><p data-track="188" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【约分】把一个分数化成同他相等，但分子和分母都比较小的分数，叫做约分。</span></span></p><p data-track="189" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【最简分数】分子和分母是互质数的分数叫做最简分数。</span></span></p><p data-track="190" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【通分】把两个异分母分数分别化成和原来分数相等的同分母分数，叫做通分。例如比较两个分数的大小，就需要通分。</span></span></p><p data-track="191" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分数加法】分数加法的意义与整数加法的意义相同，是把两个分数合并成一个分数的运算。</span></span></p><p data-track="192" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分数减法】分数减法的意义与整数减法的意义相同，是已知两个加数的和与其中一个加数，求另一个加数的运算。</span></span></p><p data-track="193" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分数乘整数】分数乘整数的意义与整数乘法的意义相同，就是求几个相同加数和的简便运算。</span></span></p><p data-track="194" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【一个数乘分数】一个数乘分数的意义，就是求这个数的几分之几是多少。</span></span></p><p data-track="195" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【倒数】乘积是1的两个数叫做互为倒数。例如八分之三和三分之八互为倒数，就是八分之三的倒数是三分之八。</span></span></p><p data-track="196" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分数除法】分数除法的意义与整数除法的意义相同，就是已知两个因数的积与其中一个因数，求另一个因数的运算。</span></span></p><p data-track="197" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分数的基本性质】分数的分子和分母同时乘以或者除以相同的数（零除外），分数的大小不变，这叫做分数的基本性质。</span></span></p><p data-track="198" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【同分母分数加减法的法则】同分母分数相加减，分母不变，只把分子相加减。计算结果能约分的要约成最简分数，是假分数的，一般要化成带分数或整数。</span></span></p><p data-track="199" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">4.比和比例：</span></span></p><p data-track="200" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【百分数】表示一个数是另一个数的百分之几的数，叫做百分数。百分数也叫做百分率和百分比。</span></span></p><p data-track="201" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【利息】取款时银行多付的钱叫做利息。</span></span></p><p data-track="202" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【本金】存入银行的钱叫做本金。</span></span></p><p data-track="203" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【利率】利息与本金的百分比叫做利率。利率由银行规定，有按年计算的，也有按月计算的。</span></span></p><p data-track="204" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【利息的计算公式】利息=本金×利率×时间</span></span></p><p data-track="205" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【成数】几成就是十分之几，或者百分之几十。例如三成就是十分之三，改写成百分数就是30% 。</span></span></p><p data-track="206" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【折扣】“几折”就表示十分之几，也就是百分之几十。</span></span></p><p data-track="207" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比】两个数相除又叫做两个数的比。</span></span></p><p data-track="208" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比号】比号用“：”表示，读作比。</span></span></p><p data-track="209" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比的前项】比号前面的数叫做比的前项。</span></span></p><p data-track="210" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比的后项】比号后面的数叫做比的后项。</span></span></p><p data-track="211" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比值】比的前项除以后项所得的商，叫做比值。</span></span></p><p data-track="212" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比例】表示两个比相等的式子叫做比例。</span></span></p><p data-track="213" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比例的项】组成比例的四个数，叫做比例的项。</span></span></p><p data-track="214" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比例的外项】组成比例的四个项中，两端的两项叫做比例的外项。</span></span></p><p data-track="215" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比例的内项】组成比例的四个项中，中间的两项叫做比例的内项。</span></span></p><p data-track="216" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">例如 80:2=200:5，其中2和200是内项，80和5是外项。</span></span></p><p data-track="217" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【解比例】根据比例的基本性质，如果已知比例中的任何三项，就可以求出这个比例中的另一个未知项。求比例的未知项，叫做解比例。</span></span></p><p data-track="218" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">例如：解比例 3:8=15:x</span></span></p><p data-track="219" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">解： 3x=15×8</span></span></p><p data-track="220" class="syl-line-pure-english" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">x=40</span></span></p><p data-track="221" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比例尺】图上距离和实际距离的比，叫做这幅图的比例尺。为了计算简便，通常把比例尺写成前项为1的比。图上距离：实际距离=比例尺</span></span></p><p data-track="222" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【成正比例的量】两种相关联的量，一种量变化，另一种量也随着变化，如果这两种量中相对应的两个数的比值一定，这两种量就叫做成正比例的量，它们的关系叫做正比例关系。例如路程随着时间的变化而变化，它们的比的比值（速度）保持一定，所以路程和时间是成正比例的量。</span></span></p><p data-track="223" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【成反比例的量】两种相关联的量，一种量变化，另一种量也随着变化，如果这两种量中相对应的两个数的积一定，这两种量就叫做反比例的量，它们的关系叫做反比例关系。</span></span></p><p data-track="224" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比的基本性质】比的前项和后项同时乘以或者同时除以相同的数（0除外），比值不变。这叫做比的基本性质。</span></span></p><p data-track="225" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【比例的基本性质】在比例中，两个外项的积等于两个内项的积。这叫做比例的基本性质。</span></span></p><p data-track="226" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【百分数写法】百分数通常不写成分数的形式，而在原来分子后面加上百分号“%”来表示。例如百分之九十写成90%</span></span></p><p data-track="227" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【百分数与小数互化】把小数化成百分数，只要把小数点向右移动两位，同时在后面添上百分号；把百分数化成小数，只要把百分号去掉，同时把小数点向左移动两位。</span></span></p><p data-track="228" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">例如 0.25=25%，27%=0.27</span></span></p><p data-track="229" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【百分数与分数互化】把分数化成百分数，通常先把分数化成小数（除不尽时，通常保留三位小数），再把小数化成百分数；把百分数化成分数，先把百分数改写成分数，能约分的要约成最简分数。</span></span></p><p data-track="230" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【整数比化简的方法】整数比的化简根据比的基本性质，把比的前项和后项同时除以比的前项和后项的最大公约数，得到最简比。</span></span></p><p data-track="231" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【小数比化简的方法】小数比的化简根据比的基本性质，把比的前项和后项同时扩大相同的倍数，化成整数比，再把整数化简。</span></span></p><p data-track="232" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【分数比化简的方法】含有分数的比的化简，用分母的最小公倍数去乘比的前项和后项，把分数比化成整数比，再把整数比化简。</span></span></p><p data-track="233" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">5.几何概念：</span></span></p><p data-track="234" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【线段】用直尺把两点连接起来就得到一条线段，这两点叫做线段的端点。线段AB表示端点是A点和B点的一条线段。</span></span></p><p data-track="235" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【线段的基本性质】连接两点的所有线中，线段最短，线段的长度可以度量。</span></span></p><p data-track="236" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【射线】把线段的一端无限延长，就得到一条射线。射线只有一个端点，不可以度量长度。</span></span></p><p data-track="237" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【直线】把线段的两端无限延长，就得到一条直线。直线没有端点，不可以度量。经过一点可以画无数条直线，经过两点只能画一条直线。</span></span></p><p data-track="238" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【两点间的距离】连接两点的线段的长度叫做这两点的距离（线段AB的长度是点A和点B间的距离）。</span></span></p><p data-track="239" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【角】有公共端点的两条射线组成的图形叫做角。</span></span></p><p data-track="240" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【角的顶点】组成角的两条射线的公共端点叫做角的顶点。</span></span></p><p data-track="241" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【角的边】组成角的两条射线叫做角的边。</span></span></p><p data-track="242" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【角的内部】角可以看作是一条射线绕着端点从一个位置旋转到另一个位置所形成的图形。射线旋转时经过的平面部分是角的内部。</span></span></p><p data-track="243" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【平角】射线OA绕着点O旋转，当终止位置OC和起始位置OA成一直线时，所成的角叫做平角。平角为180度。</span></span></p><p data-track="244" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【周角】射线OA绕着点O旋转，回到起始位置OA时，所成的角叫做周角。周角为360度。</span></span></p><p data-track="245" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【直角】平角的一半叫做直角。直角为90度。</span></span></p><p data-track="246" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【锐角】小于直角的角叫做锐角。锐角小于90度。</span></span></p><p data-track="247" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【钝角】大于直角而小于平角的角叫做钝角。钝角小于180度，大于90度。</span></span></p><p data-track="248" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【角的平分线】一条射线把一个角分成两个相等的角，这条射线叫做角的平分线。</span></span></p><p data-track="249" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【两条直线互相垂直】当两条直线相交所成的四个角中，有一个角是直角时，就说这两条直线互相垂直。其中的一条直线叫做另一条直线的垂线，它们的交点叫做垂足。</span></span></p><p data-track="250" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【三角形】由不在同一条直线上的三条线段首尾顺次相接所组成的图形叫做三角形。</span></span></p><p data-track="251" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【三角形的边】组成三角形的线段叫做三角形的边。</span></span></p><p data-track="252" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【三角形的角】三角形中，相邻两边所组成的角叫做三角形的角。</span></span></p><p data-track="253" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【三角形的高】从三角形的一个顶点，向它的对边画垂线，顶点和垂足间的线段叫做三角形的高线，简称三角形的高。</span></span></p><p data-track="254" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【不等边三角形】三条边都不相等的三角形叫做不等边三角形。</span></span></p><p data-track="255" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【等腰三角形】有两边相等的三角形叫做等腰三角形。</span></span></p><p data-track="256" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【等边三角形】三边都相等的三角形叫做等边三角形。</span></span></p><p data-track="257" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【等腰三角形的腰】在等腰三角形中，相等的两边都叫做腰。</span></span></p><p data-track="258" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【等腰三角形的底边】在等腰三角形中，除相等的两边外的第三条边叫做底边。</span></span></p><p data-track="259" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【等腰三角形的顶角】在等腰三角形中，两腰的夹角叫做顶角。</span></span></p><p data-track="260" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【等腰三角形的底角】在等腰三角形中，腰和底边的夹角叫做底角。</span></span></p><p data-track="261" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【锐角三角形】三个角都是锐角的三角形叫做锐角三角形。</span></span></p><p data-track="262" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【直角三角形】有一个角是直角的三角形叫做直角三角形。</span></span></p><p data-track="263" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【钝角三角形】有一个角是钝角的三角形叫做钝角三角形。</span></span></p><p data-track="264" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【直角三角形的直角边和斜边】在直角三角形中，直角的两边叫做直角边，直角所对的边叫做斜边</span></span></p><p data-track="265" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【等腰直角三角形】两条直角边相等的直角三角形叫做等腰直角三角形。</span></span></p><p data-track="266" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【三角形的稳定性】例如用三根木棍钉成一个三角形，用力拉这个三角形，这个三角形的形状没有改变。可见三角形具有稳定性。</span></span></p><p data-track="267" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【三角形的面积】三角形的面积=底×高÷2</span></span></p><p data-track="268" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【四边形】在平面内，由不在同一条直线的四条线段首尾顺次相接组成的图形叫做四边形。</span></span></p><p data-track="269" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【平行线】在同一个平面内不相交的两条直线叫做平行线。</span></span></p><p data-track="270" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【平行四边形】两组对边分别平行的四边形叫做平行四边形。</span></span></p><p data-track="271" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【平行四边形的面积公式】平行四边形的面积=底×高</span></span></p><p data-track="272" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【长方形】有一个角是直角的平行四边形叫做长方形。</span></span></p><p data-track="273" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【菱形】有一组邻边相等的平行四边形叫做菱形。</span></span></p><p data-track="274" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【正方形】有一组邻边相等并且有一个角是直角的平行四边形叫做正方形。</span></span></p><p data-track="275" style="box-sizing: border-box; margin-top: 20px; margin-bottom: 20px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; letter-spacing: 1px;"><span style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; color: #333333; --tt-darkmode-color: #A3A3A3;">【梯形】一组对边平行而另一组对边不平行的四边形叫做梯形。</span></span></p><div class="pgc-img" style="box-sizing: border-box; margin: 0px 0px 18px; padding: 0px; border: 0px; color: rgb(34, 34, 34); font-family: "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "WenQuanYi Micro Hei", "Helvetica Neue", Arial, sans-serif; font-size: 18px; text-align: justify; white-space: normal; background-color: rgb(255, 255, 255);"><img src="https://p9.toutiaoimg.com/origin/pgc-image/2531f6eec6f14be7be8c04d7314ec30f?from=pc" img_width="1080" img_height="1527" alt="1-6数学公式全汇总，可打印" inline="0" class="syl-page-img" style="box-sizing: border-box; border: 0px; margin: 0px auto 8px; padding: 0px; cursor: zoom-in; max-width: 100%; display: block; border-radius: 4px; height: auto;"/><p class="pgc-img-caption" style="box-sizing: border-box; margin-top: 20px; padding: 0px; border: 0px; margin-bottom: 0px !important;"><br/></p></br>微信搜索公众号【深圳家】或者直接搜索【i-shenzhen】，获取更多信息
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