题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-18410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-79885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-73910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-59936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-23181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-61884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-76305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-90266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-51546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-98503.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-59615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-50299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-88745.png)
(3)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-16739.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-33196.png)
解析
试题分析:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-84955.png)
(1)常用的证明直线和平面垂直的方法有两种:①证明直线和平面内的两条相交直线垂直;②若两个平面垂直,则一个平面内垂直于它们交线的直线垂直于另一个平面.本题易证
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-78594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-73910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-59615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-79511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-37582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-71418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-93440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-71668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-89462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-50299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-88745.png)
选三条两两垂直的三条直线分别作为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-34854.png)
试题解析:(1)由已知
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-15530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-23181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-61884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-94883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-73910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-17967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-61884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-80581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-55147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-59615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
(2)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-79511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-37582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-71418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-93440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-12799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-88992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-51375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-82684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-62903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-11311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-95866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-24787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-89462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015646-77617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-88745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-86133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-88745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-50299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-88745.png)
(3)连结
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-66334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-76121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-79885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-45748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-16634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-45748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-64866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-59615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015642-96227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-45748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-78594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-23181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-52487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015648-39831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015648-49822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015648-31082.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015648-19342.png)
设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-88745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015648-77404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-45748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015648-92500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015645-93440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-50299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015647-45748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015648-12783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015648-49073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015643-88745.png)
又平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015649-81963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015649-37637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-16739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015649-54603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015649-76846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015649-45604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-16739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015644-33196.png)
核心考点
举一反三
A.若m//n,n![]() |
B.若α⊥β, α![]() |
C.若l⊥n ,m⊥n,则l//m |
D.若l⊥α,m⊥β, 且l⊥m ,则α⊥β |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015618-54836.jpg)
(1)求证:AC⊥B1C;
(2)若D是AB中点,求证:AC1∥平面B1CD.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015613-77027.png)
A.若a∥α,α⊥β,则a∥β | B.若a∥b,a⊥β,则b⊥β |
C.若a∥α,b∥α,则a∥b | D.若a⊥b,a∥α,则b⊥α |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015607-44330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015607-31326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015607-31326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015607-77764.png)
A.[0,![]() | B.[![]() ![]() |
C.[![]() ![]() | D.[![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015559-21328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015559-13661.png)
A.![]() ![]() ![]() | B.![]() | C.![]() | D.![]() |
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