题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111510-17312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111510-79205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111510-12578.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111510-26616.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111510-79205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111511-62189.png)
∵AE=4,∴根据勾股定理得
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111511-62647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111511-30528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111511-11890.png)
∴BE=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111512-42430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111512-42430.png)
∵四边形ABCD是平行四边形,∴DC=AB==3
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111512-42430.png)
又∵AE⊥BC,AF⊥CD,∴∠AFD=∠AEB=900。∴△AFD∽△AEB。∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111512-47729.png)
又∵AF=6,∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111512-46185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111513-70033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111513-70525.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111506-78412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111506-81398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111501-22123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111457-49484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111453-94506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111450-82666.png)
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