数学思想方法—“数形结合”

城关区雁东路小学

<h3>一、计算我能行!</h3><h3>1.列竖式计算</h3><h3> 10.56×0.38= 42÷11=</h3><h3> 2.简便运算</h3><h3> 3.56×99= 1.25×32×0.25=</h3><h3> 0.48÷6÷8= 0.56×90+5.6=</h3><h3>3.解方程(检验第2个)</h3><h3> 3x—1.5=7.8 15.6÷x=2</h3><h3><br></h3> <h1 style="max-width: 100%; clear: both; min-height: 1em; text-align: center; overflow-wrap: break-word !important;"><span style="max-width: 100%; font-size: 14px; overflow-wrap: break-word !important;">今天给大家讲一讲</span><span style="font-size: 14px;">小学数学中的</span></h1><h1 style="max-width: 100%; clear: both; min-height: 1em; text-align: center; overflow-wrap: break-word !important;"><span style="font-size: 14px;"></span><strong style="color: rgb(171, 5, 5); font-size: 15px; max-width: 100%; overflow-wrap: break-word !important;">数形结合思想</strong></h1></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">&nbsp; 我国<span style="max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">著名数学家华罗庚</strong></span>对“数”与“形”之间的密切联系有过一段精彩的描述。“数与形本是相依,焉能分作两边飞,数缺形少直觉,形少数难入微,数形结合百般好,隔裂分家万事休,切莫忘,几何代数统一体,永远联系切莫分离。”&nbsp;寥寥数语,把“数形结合”之妙说得淋漓尽致。</h3></section> <p style="font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; white-space: normal; color: rgb(51, 51, 51); max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">&nbsp; &nbsp; 数形结合思想的实质即<span style="max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">通过数形之间的相互转化,把抽象的数量关系,通过理想化抽象的方法,转化为适当的几何图形</strong></span>,从图形的结构直观地发现数量之间存在的内在联系,解决数量关系的数学问题。</h3><h1 style="font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; white-space: normal; max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><font color="#167efb">&nbsp;</font><font color="#010101">———</font><b style=""><font color="#ff8a00">数形结合思想的例子</font><font color="#010101">———</font></b></h1><h1 style="font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; white-space: normal; max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><font color="#167efb"><b></b></font>&nbsp; &nbsp;我们小学阶段最常使用到数形结合思想的板块主要有<span style="font-size: 17px; max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;"><span style="max-width: 100%; font-size: 15px; overflow-wrap: break-word !important;">和差、和倍、差倍问题、年龄问题、还原问题、行程问题等</span></strong></span><span style="color: rgb(51, 51, 51); font-size: 17px;">,所以掌握了数形结合这个技能之后,这些板块基本就不在话下。</span></h1><div style=""><p style="font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; white-space: normal; max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">下面举例说明:</strong></h3></div></section> <h3><font color="#ff8a00">例一:差倍问题</font></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span style="max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">【问题】</strong></span></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span style="max-width: 100%; overflow-wrap: break-word !important;">两块同样长的花布,第一块卖出31米,第二块卖出19米后,第二块是第一块的4倍,<strong style="max-width: 100%; overflow-wrap: break-word !important;">求每块花布原有多少米?</strong></span></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;"><span style="max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;">【解析】</span></strong></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;">先画示意图如下</h3> <p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">由图可以看出<span style="max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">三份对应的是</strong></span>:31-19=12(米)</h3><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">所以<span style="max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">第一块布剩下的是</strong></span>:12÷(4-1)=4(米)</h3><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">第一块布原有:4+31=35(米)(两块布原有长度相等)。</h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><font color="#ff8a00">例二:年龄问题</font></h3><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">【问题】</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">叔叔和小强聊天,叔叔说:“当我跟你一样大时,你才2岁;当你像我这样大时,我已经38岁了。”<strong style="max-width: 100%; overflow-wrap: break-word !important;">求叔叔的年龄。</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">【解析】</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">先画示意图如下:</h3></section></section> <h3><span style="color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;">由图可知2岁加上三个年龄差后就变成了38岁,所以</span><span style="max-width: 100%; font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">小强和叔叔的年龄差</strong></span><span style="color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;">就是:(38-2)÷4=9(岁),叔叔的年龄:38-9=29(岁)</span><br></h3> <p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;"><font color="#ff8a00">例三:还原问题</font></strong></h3><p style="color: rgb(171, 5, 5); max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">【问题】</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">小丽用4元买了一本《童话大王》,又用剩下的钱的一半买了一本《儿童时代》,买钢笔又用去第二次剩下的钱的一半多1元,最后还剩4元,<strong style="max-width: 100%; overflow-wrap: break-word !important;">问:小丽原有多少钱?</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">【解析】</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">先画示意图如下:</h3></section> <h3><font color="#010101"><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">第一次剩下的一半:(1+4)×2=10(元)</h3><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">原有:10×2+4=24(元)</h3></section></font></h3> <h3><font color="#ff8a00">例四:行程问题</font></h3><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">【问题】</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">甲、乙、丙三人,甲每分钟走100米,乙每分钟走80米,丙每分钟走75米。甲从东村,乙、丙从西村同时出发相向而行,途中甲、乙相遇后3分钟又与丙相遇。<strong style="max-width: 100%; overflow-wrap: break-word !important;">求东西两村的距离。</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">【解析】</strong></h3></section><p style="max-width: 100%; clear: both; min-height: 1em; overflow-wrap: break-word !important;">先画示意图如下:</h3></section> <h3><span style="color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;">甲、乙相遇后3分钟,甲、丙相遇。</span><span style="max-width: 100%; font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">甲、丙在3分钟内共走路程是</strong></span><span style="color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;">(100+75)×3=525 (米)。显然,这就是甲、乙相遇时,</span><span style="max-width: 100%; font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">乙比丙多走的路程</strong></span><span style="color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;">,</span><span style="max-width: 100%; font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">乙比丙每分钟多走</strong></span><span style="color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;">80-75=5 (米)。所以,甲、乙相遇时离出发的时间是525÷5=105 (分钟)。两村间的距离是:(100+80)×105=18900 (米)。</span><br></h3><h1><span style="font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;"><font color="#333333">——</font><font color="#ff8a00"><b>【数形结合思想的重要性】</b></font><font color="#333333">——</font></span></h1><h3><span style="color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;">数形结合是连接“数”与“形”的“桥”,它</span><span style="max-width: 100%; font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">不仅作为一种解题方法,还是一种重要的数学思想。</strong></span><span style="font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal;"><font color="#333333"><br></font></span></h3> <p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;">&nbsp; 在小学数学教学中,数形结合能不失时机地为学生提供恰当的形象材料,可以将抽象的数量关系具体化,把无形的解题思路形象化,<span style="max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">不仅有利于学生顺利的、高效率的学好数学知识,更有利于学生学习兴趣的培养、智力的开发、能力的增强,使教学收到事半功倍之效</strong></span>。</h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;">&nbsp; 最关键一点,能<span style="max-width: 100%; color: rgb(171, 5, 5); overflow-wrap: break-word !important;"><strong style="max-width: 100%; overflow-wrap: break-word !important;">使抽象枯燥的数学知识,形象化、具体化</strong></span>,使得数学学习充满乐趣。</h3><p style="max-width: 100%; clear: both; min-height: 1em; font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><b style=""><font color="#ed2308">三、课后作业:</font></b></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span style="font-size: 20.94px; letter-spacing: 2.61px; font-family: 微软雅黑; text-indent: 41.88px;">1.甲自行车每小时行15千米,乙自行车每小时行12千米。乙先行1.5小时,问几</span><span style="font-family: 微软雅黑; font-size: 20.94px; letter-spacing: 2.61px; text-indent: 41.88px;">小时后甲可追上乙?(用两种方法解答)</span></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span style="font-family: 微软雅黑; font-size: 20.94px; letter-spacing: 2.61px; text-indent: 41.88px;"><br></span></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span style="font-family: 微软雅黑; font-size: 20.94px; letter-spacing: 2.61px; text-indent: 41.88px;">2.</span><span class="rtcscls2_r_2 fszl_show" style="outline-style: initial; outline-width: 0px; -webkit-tap-highlight-color: transparent; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; font-size: 18px; line-height: inherit; font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; vertical-align: inherit;">一篮鸡蛋,第一次拿走整篮鸡蛋的</span><span class="rtcscls2_r_2 fszl_show" style="outline-style: initial; outline-width: 0px; -webkit-tap-highlight-color: transparent; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; font-size: 18px; line-height: inherit; font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; vertical-align: inherit;">,第二次又拿走剩下的</span><span class="rtcscls2_r_2 fszl_show" style="outline-style: initial; outline-width: 0px; -webkit-tap-highlight-color: transparent; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; font-size: 18px; line-height: inherit; font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; vertical-align: inherit;">,最后篮子里还有</span><span class="rtcscls2_r_4 fszl_show" style="outline-style: initial; outline-width: 0px; -webkit-tap-highlight-color: transparent; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; font-size: 18px; line-height: inherit; font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; vertical-align: inherit;">4</span><span class="rtcscls2_r_2 fszl_show" style="outline-style: initial; outline-width: 0px; -webkit-tap-highlight-color: transparent; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; font-size: 18px; line-height: inherit; font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; vertical-align: inherit;">个鸡蛋。你知道原来这个篮子里有几个鸡蛋吗</span><span class="rtcscls2_r_4 fszl_show" style="outline-style: initial; outline-width: 0px; -webkit-tap-highlight-color: transparent; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; font-size: 18px; line-height: inherit; font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; vertical-align: inherit;">?</span></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span class="rtcscls2_r_4 fszl_show" style="outline-style: initial; outline-width: 0px; -webkit-tap-highlight-color: transparent; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; font-size: 18px; line-height: inherit; font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; vertical-align: inherit;"><br></span></h3><h1 style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span class="rtcscls2_r_4 fszl_show" style="outline-style: initial; outline-width: 0px; -webkit-tap-highlight-color: transparent; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; font-size: 18px; line-height: inherit; font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; vertical-align: inherit;">3.</span><span style="font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; font-size: 18px;">儿子陪爸爸聊天,爸爸说:“当我像你这么大时,你才15岁呢!”儿子说:“当我像爸爸这么大的时候,爸爸就75岁啦!”那么儿子今年几岁?</span></h1><h1 style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span style="font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; font-size: 18px;"></span><span style="font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; font-size: 18px;"><br></span><span style="font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; font-size: 18px;">4.</span><b><span style="color: rgb(52, 52, 52); font-family: &quot;Microsoft YaHei&quot;, Arial, Helvetica, sans-serif; font-size: 15px; text-indent: 55px;">一个长方形长增加1.5米,或宽增加1.2米,面积都增加6平方米,求原长方形的面积。</span><span style="color: rgb(52, 52, 52); font-family: &quot;Microsoft YaHei&quot;, Arial, Helvetica, sans-serif; font-size: 15px; text-indent: 55px;">&nbsp;</span><span style="color: rgb(52, 52, 52); font-family: &quot;Microsoft YaHei&quot;, Arial, Helvetica, sans-serif; font-size: 15px; text-indent: 55px; white-space: normal;">  &nbsp;</span></b></h1><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span style="font-family: &quot;PT Serif&quot;, &quot;Droid Serif&quot;, &quot;Times New Roman&quot;, arial, sans-serif; font-size: 18px;"></span></h3><p style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 2.5px; text-align: justify; white-space: normal; overflow-wrap: break-word !important;"><span style="color: rgb(52, 52, 52); font-family: &quot;Microsoft YaHei&quot;, Arial, Helvetica, sans-serif; font-size: 15px; text-indent: 55px; white-space: normal;"></span></h3><p style="font-family: -apple-system, &quot;Helvetica Neue&quot;, Arial, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, STHeiti, &quot;Microsoft YaHei&quot;, &quot;Microsoft JhengHei&quot;, &quot;Source Han Sans SC&quot;, SimSun, sans-serif; font-size: 16.8px; border: 0px; line-height: 34.91px; letter-spacing: 2.61px; white-space: normal; margin-bottom: 10px !important; text-indent: 2em !important;"><span style="font-family: 微软雅黑; font-size: 20.94px; border: 0px; vertical-align: baseline; word-break: break-word;"></span></h3> <h1 style="max-width: 100%; clear: both; min-height: 1em; color: rgb(51, 51, 51); font-family: -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 16px; letter-spacing: 2.5px; white-space: normal; text-align: center; overflow-wrap: break-word !important;"><span style="max-width: 100%; font-size: 14px; overflow-wrap: break-word !important;">通过今天数形结合思想的再次学习<br></span><span style="max-width: 100%; font-size: 14px; overflow-wrap: break-word !important;">大家有没有都掌握呢?<br></span><span style="max-width: 100%; font-size: 14px; overflow-wrap: break-word !important;">没有的话一定要加强联系啦!<br></span><span style="max-width: 100%; font-size: 14px; overflow-wrap: break-word !important;">毕竟数形结合思想<br></span><span style="max-width: 100%; font-size: 14px; overflow-wrap: break-word !important;">对于小学数学来说真的很重要</span></h1>

数形

结合

问题

思想

相遇

先画

数学

甲乙

第一块

年龄