脚拉脚模型-
2024-10-17 23:36:28 5 举报
AI智能生成
八下脚拉脚模型,可能有部分不完整,不喜勿喷 如有侵权请联系本作者删除相关内容
作者其他创作
大纲/内容
4.特殊图形
条件
等腰Rt△ABC、等腰Rt△CDE,∠A=∠D=90°,<br>连接BE,F为BE的中点,连接AF、DF.
结论
AF⊥DF,AF=DF.
5.一般图形
<img 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" alt="">
6.例子
1.什么叫脚拉脚
在两个顶角互补的等腰三角形中,把等腰三角形的<br>两个底角看成脚,左脚和右脚,当一个等腰三角形的<br>左脚和另一个等腰三角形的右脚重合时,顶角按照<br>一正、一逆时针旋转得到的图形,构成脚拉脚模型.
2.手拉手与脚拉脚区别
相同
2个等腰三角形
不同
手拉手
两个顶角度数相等的等腰三角形共用一<br>个顶角顶点,并连接对应的底角顶点.
脚拉脚
两个顶角度数互补的等腰三角形共用一<br>个底角顶点,并连接剩下的那组底角顶<br>点同时取其中点,再将中点与其余两个<br>顶角顶点进行连接.<br>
3.脚拉脚结论
基本结论:如图,中等腰△ABC与等腰△DCE中,<br>底角顶点相交于点C,顶角∠A与∠D互补. 连接BE<br>,取中点F,连接AF,DF。则有结论: AF⊥DF
证明方式:①中线倍长,②中位线+手拉手,③对角互补+手拉手
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