题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032153-15876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032154-45996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032154-50486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032154-46303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032154-99077.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032154-40869.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032155-74929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032155-51307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032155-20749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032155-90241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032155-81168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-89021.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-48433.png)
解析
试题分析:(1)先根据面面垂直性质定理,将面面垂直条件转化为线面垂直:在四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-63727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-87823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-34138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-49002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-49348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-63727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-69467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-15623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-39571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-63727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-19417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-47197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-13861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-47197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-23877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-44471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032155-90241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-33914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-61864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032200-91186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032200-15285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032200-40538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-61864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-48433.png)
(1)四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-63727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-87823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-34138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-49002.png)
又平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-49348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-63727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-69467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032157-15623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-39571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-63727.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-19417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-47197.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-13861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032158-47197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-23877.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-44471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032155-90241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-33914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032159-61864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032200-91186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032200-15285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032200-40538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032156-48433.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032142-61977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032142-70839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032143-59337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032143-69591.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032143-82638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032143-34267.png)
(2)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032144-73374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032143-34267.png)
(3)求直线BE与平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032144-45948.png)
(1)求证:PC⊥BC;
(2)求点A到平面PBC的距离.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032134-56379.png)
A.若m∥α,n∥β,且m∥n,则α∥β |
B.若m⊥α,n∥β,且m⊥n,则α⊥β |
C.若m⊥α,n∥β,且m∥n,则α∥β |
D.若m⊥α,n⊥β,且m⊥n,则α⊥β |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022032126-46111.jpg)
A.平面ABD⊥平面ABC | B.平面ADC⊥平面BDC |
C.平面ABC⊥平面BDC | D.平面ADC⊥平面ABC |
①若α∥β,m⊂β,n⊂α,则m∥n;
②若α∥β,m⊥β,n∥α,则m⊥n;
③若α⊥β,m⊥α,n∥β,则m∥n;
④若α⊥β,m⊥α,n⊥β,则m⊥n.
上面命题中,所有真命题的序号为________.
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