题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025755-17450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025755-34655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025756-93373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025756-33744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025756-83747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025756-94899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025757-49516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025757-83053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025757-51272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025757-91027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-79584.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-29399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
(2)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-92996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-28441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-82180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-94707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-82997.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025800-25841.png)
试题分析:(1)要证明
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-29399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025800-70984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025800-70984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025800-51434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025801-80185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025801-52790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025801-13315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025801-85424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025802-44593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025802-45897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-29399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025802-35688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-91791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-55407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-99242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-91791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025804-49760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-94707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025804-49760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-91791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025804-48780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025804-32987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025804-33507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025804-43680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025805-72503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-82997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-94707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
试题解析:(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025800-51434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025801-80185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025801-52790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025801-13315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025801-85424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025805-16561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025805-84953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-29399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
(2)当BM=1时,平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-94707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
在直三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025805-63530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025806-86146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025805-16561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025755-34655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025756-33744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025806-14352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025805-16561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025806-61387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025806-79142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
DF与AD相交,所以CM
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025803-25105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025805-16561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-94707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025759-94707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025758-97856.png)
核心考点
举一反三
①若α∥β,则l⊥m; ②若α⊥β,则l∥m;
③若l∥m,则α⊥β; ④若l⊥m,则α∥β.
其中正确命题的序号是
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025734-52764.jpg)
(1)求证:GH∥平面CDE;
(2)求证:面ADEF⊥面ABCD.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025718-98366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025718-30258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025718-64854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025719-33491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025719-18242.png)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025719-10893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025719-24732.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025720-57479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025720-87564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025718-64854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025720-44651.png)
(3)在(2)的条件下若F是PD的靠近P的一个三等分点,求二面角A-EF-D的余弦值.
①
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025709-36465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025709-48525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025710-68146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025710-21648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025710-78381.jpg)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025655-97776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025655-99652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025655-99652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025655-97776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025655-85063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025655-28052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-88240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-10186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-88589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-88125.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-81868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-40112.png)
(Ⅱ)在线段
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-95912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-26043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-12032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-28727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025656-39957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106025657-76126.png)
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