题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010120-99759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010120-46101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010121-53807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010121-15322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010120-99759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010121-58502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010121-91146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010121-93313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-36764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-79801.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-53747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-58851.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-49010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-58851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010123-72914.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010123-91979.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010123-57820.png)
解析
试题分析:(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010124-89229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010124-13328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010124-85691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010124-96191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010125-66167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010123-91979.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010125-86262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-58851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010125-14458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-58851.png)
(2)以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010125-12533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010126-63930.png)
易得
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010126-72976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010126-48787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010126-18825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010127-50939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010127-74472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010127-65345.png)
由此可求得平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010122-58851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010127-42996.png)
又平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010123-72914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010128-74231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010128-11446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010124-96191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010123-57820.png)
点评:主要是考查了线面平行的判定以及二面角的平面角的求解,属于基础题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010104-91680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010104-47961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010104-90615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010104-12368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010105-87736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010105-59747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010105-37787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010105-96141.png)
(1) 证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010106-39161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010106-91478.png)
(2)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010106-84803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010106-91478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010051-58728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010052-51855.jpg)
(1)求证:A1C⊥平面ABC;(2)求平面BDE与平面ABC所成角的余弦值.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010023-55406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010023-44131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010024-68354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010024-31899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010024-85253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010024-69476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010025-14965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010025-97334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010025-26648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010025-69692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010026-73860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010026-69758.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010026-41018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010026-15443.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010026-39768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010026-60020.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010017-44402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010017-12157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010018-82679.png)
(1)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010018-32771.png)
(2)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010018-29889.png)
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