题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060954-53311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060954-24410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060954-66744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060954-36220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060954-14920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060955-37279.png)
(Ⅰ)证明
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060955-96849.png)
(Ⅱ)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060955-46780.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060955-81544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060955-92611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060956-41148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060956-42895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060956-55559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060956-13637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060957-26411.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060957-87070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060957-84894.png)
解析
试题分析:(1)以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060957-14384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060958-29872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060958-95961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060958-27745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060958-75149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060958-40270.png)
二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060959-93446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060957-87070.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060959-95810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060959-65869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060959-71007.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061000-98340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060957-84894.png)
点评:利用空间向量求解立体几何题目首要的选择一个合适的建系位置
核心考点
举一反三
①经过空间一点一定可作一条直线与两异面直线都垂直;②经过空间一点一定可作一平面与两异面直线都平行;③已知平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060946-27508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060946-19689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060946-48613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060947-61540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060947-81733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060947-38013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060927-93856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060927-25202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060927-93856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060927-25202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-10036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-97300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-10036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-33867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-10036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-10415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-97300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-62591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060928-10415.png)
(Ⅰ) 证明
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060929-26001.png)
(Ⅱ) 若二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060929-60014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060929-56218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060929-52478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060930-58069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060922-13615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060922-18028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060923-68983.png)
A.若![]() ![]() ![]() ![]() ![]() ![]() | B.若![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() ![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060913-30173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060913-73165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060914-90713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060914-97738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060914-88780.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060914-27758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060915-10636.png)
(2)平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060915-10636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060915-14015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022060915-66427.jpg)
A.m∥α,n∥β,且α∥β,则m∥n |
B.m⊥α,n⊥β,且α⊥β,则m∥n |
C.m∥α,n⊥β,且α⊥β,则m∥n |
D.m⊥α,n∥β,且α∥β,则m⊥n |
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