题目
题型:不详难度:来源:
求证:(1)平面ADE⊥平面BCC1B1
(2)直线A1F∥平面ADE.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012833-59327.png)
答案
解析
试题分析:(1)由面面垂直的判定定理可知:要证两个平面互相垂直,只须证明其中一个平面内的一条直线与另一个平面垂直即可;观察图形及已知条件可知:只须证平面ADE内的直线AD与平面BCC1B1垂直即可;而由已知有: AD⊥DE,又在直三棱柱中易知CC1⊥面ABC,而AD
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012833-23826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-12003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
又AD
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012833-23826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-12003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012833-23826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012833-23826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-12003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-12003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-12003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012833-23826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
又CC1,A,F
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012833-23826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012833-23826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-93290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012834-27580.png)
核心考点
试题【如图. 直三棱柱ABC —A1B1C1中,A1B1= A1C1,点D、E分别是棱BC,CC1上的点(点D不同于点C),且AD⊥DE,F为B1C1的中点.求证:(】;主要考察你对向量与空间位置关系等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012829-64157.jpg)
求证:(1)直线PA∥平面DFE;
(2)平面BDE⊥平面ABC.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012821-86938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012821-75739.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012821-38974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012821-35055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012821-79571.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012822-80943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012822-24191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012822-67271.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012821-79571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012822-91716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012823-43421.png)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012823-79902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012823-29550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012823-49941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012823-43421.png)
其中真命题的序号为 .
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012809-25824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012809-84341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012809-78531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012809-36691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012810-68690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012810-25464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012810-90841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012810-27524.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012811-73228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012809-36691.png)
(2)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012811-15335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012811-62239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012812-84873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012756-59917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012756-88550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012756-25344.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012739-21233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012739-53184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012739-66833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012739-21233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012739-66833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012740-90410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012740-17272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012740-52196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012740-71004.png)
(1)求证
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012740-94595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012740-71898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012740-19610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012741-52932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012741-40051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106012741-26378.png)
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