题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131749-65590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131749-83507.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131749-85963.gif)
(2)若AE=4,AF=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131749-65899.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-48022.gif)
答案
∴∠B=∠D.
又
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-38546.gif)
∴∠AEB=∠AFD.
∴∠BAE=∠DAF.-------
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-21240.gif)
(2)在Rt△ABE中,sin∠BAE=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-58062.gif)
又∵∠BAE=∠DAF,
∴ sin∠DAF=sin∠BAE=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-58062.gif)
在Rt△ADF中,AF=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131749-65899.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-58062.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-12583.gif)
∵ CD=AB=5.
∴CF=5-
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-12583.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131750-10464.gif)
解析
核心考点
举一反三
A.![]() ![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131734-10274.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131730-38025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131730-38025.png)
A、
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131730-31267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131730-28058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131731-39618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131723-76023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131723-96333.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131716-29206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104131716-30723.png)
A.2 | B.![]() | C.![]() | D.1 |
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