题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033618-42655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033618-33285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033618-34365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033618-33913.png)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033618-67683.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033618-20822.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033619-25954.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033619-53087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033619-83056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033619-18244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033619-82115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033619-37636.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033619-69911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-21736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-11369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-47309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-72177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-69993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-36036.png)
(2)在平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-47309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-91129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-46150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033621-70496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-36036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033621-87856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033621-49254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033621-76232.png)
在平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033621-40350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033620-91129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033621-87245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033622-90607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033622-49503.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033622-77295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033622-94418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033618-20822.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033622-82159.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033623-10580.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033623-28784.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033623-16072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033623-68264.png)
故二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033618-20822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033619-25954.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033607-83684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033607-36154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033607-41801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033607-82371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033608-88181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033608-19401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033608-56340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033608-64213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033609-52494.png)
(1)证明:BE⊥平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033609-87756.png)
(2)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033609-87279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033609-10147.png)
A.若m∥α,n∥α,则m∥n | B.若m∥α,m∥β,则α∥β | C.若m∥n,m⊥α,则n⊥α | D.若m∥α,α⊥β,则m⊥β |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033550-58126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033550-68069.png)
A.若![]() ![]() ![]() ![]() |
B.若m⊥![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若m∥![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033529-47363.png)
(1)求证DM∥平面APC;
(2)求证平面ABC⊥平面APC;
(3)若BC=PC=4,求二面角P-AB-C的正弦值.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033522-40797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022033522-50161.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() |
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