题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033253-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033253-47303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033253-89966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033254-98614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033254-52068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033254-63728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033254-30873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033254-19038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033255-61285.png)
(1) 证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033255-20668.png)
(2) 证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033255-15159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033255-99696.png)
(3) 求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033256-37674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033256-26161.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033256-37674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033256-20829.png)
解析
(1)根据已知中线面的垂直的性质定理来判定线线垂直。
(2)利用线面得到线线垂直,再结合线线得到线面的垂直的判定。
(3)建立空间直角坐标系,来表示平面的法向量,进而求解二面角的平面角的求解的综合运用。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033242-72873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033242-98616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033242-68763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033243-93881.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033243-25893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033243-97782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033244-87712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033244-54778.png)
A.②④ | B.①② | C.③④ | D.①③ |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033228-83026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033228-42661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033229-23023.png)
(Ⅰ)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033229-97437.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033229-24394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033229-79708.png)
A.48 | B.18 | C.24 | D.36 |
将两块三角板按图甲方式拼好,其中
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033213-75919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033214-32299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033214-82802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033214-74145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033215-75751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033215-60968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033215-59068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033215-71297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033216-90743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033216-81576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033216-68814.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033217-38812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033217-66222.png)
(Ⅱ)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033217-28565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033206-79961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033206-87166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033207-55516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033207-52428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033207-60410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033208-59507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033208-66093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033208-83139.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033208-70433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033206-87166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033209-79956.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033209-40477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106033209-14527.png)
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