题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-27714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-30882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-45423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-37030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-93017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-57956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-44600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-84800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-54635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-83773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-80276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-31610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-38954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-62055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-99861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-99220.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-66364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-31610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-46460.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-11415.png)
解析
试题分析:试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-69259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-68754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-64769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-38002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-34299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-12074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-82402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-35003.png)
试题解析:(1)在正方形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-27714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-60696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-68211.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-69259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-68754.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-85309.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-64769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-38002.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-11733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-38002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-66364.png)
(2)∵正方形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-27714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-30882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-45423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042254-37030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-93017.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042258-85925.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042258-16191.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042258-47157.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042258-22956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042258-99209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042258-95113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042258-57556.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042259-84009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042259-49749.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042259-41329.png)
由(1)得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-64769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-38002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042259-64286.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042300-71360.png)
设点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-31610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-46460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042257-35003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042300-70284.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042300-26341.png)
∴点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042255-31610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-46460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042256-11415.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042240-75623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042240-29715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042241-55634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042241-18906.jpg)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042241-73667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042241-39338.png)
(Ⅱ)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042241-75429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042228-59172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042228-29036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042228-26114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042228-62785.jpg)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042228-81196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042228-40106.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042228-76032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042229-96843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042229-10828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042216-84924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042216-14093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042216-34043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042216-14093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042216-13785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042217-69770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042217-97405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042217-79561.png)
(1)证明
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042217-39593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042217-25028.png)
(2)证明平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042218-89911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042218-55851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042203-40046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042204-74196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042204-33942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042204-40649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042204-82830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042205-33763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042205-77201.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042157-98557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042157-64732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042157-73432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042157-81215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042158-53111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042158-37267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022042158-33338.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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