题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120335-17628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120335-84221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120335-63618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120335-96981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120335-88968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-46047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-13234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-52121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-80565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-43416.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-36501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-12456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-51252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-39528.png)
答案
(2)几何体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-51252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-90535.png)
解析
(1)在图1中,可得
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-72158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-77561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-36359.png)
取
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-46047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-62555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120339-62313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120339-52632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-13234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-52121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-80565.png)
面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-13234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120339-75803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-80565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120339-93486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120340-65997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-12456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120340-45800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-80565.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120340-18673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-80565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120340-74645.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-36359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120340-37872.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120341-52332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-12456.png)
解:在图1中,可得
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-72158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-77561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-36359.png)
∵面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-13234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-52121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-80565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-13234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120339-75803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-80565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120339-93486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120340-18673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120336-80565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120341-52332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-12456.png)
(2)由(1)可知
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-36501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120341-48407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120341-58077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120341-59961.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120341-32629.png)
∴几何体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120337-51252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120338-90535.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120328-49473.png)
A.![]() | B.2![]() | C.3![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120316-23439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120316-13145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120316-52434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120316-15574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120316-46505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120316-80387.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120317-60814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120317-58860.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120317-39001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120317-24793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120317-24793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120317-20442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120302-70724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120302-88453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120302-31936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120302-96241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120303-52769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120303-31009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120255-31453.png)
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