题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041504-10718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041504-99268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-64318.png)
(1)求证:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-44201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-48593.png)
(2)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-98722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-48593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041506-29104.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041506-44451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041506-42703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-64318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041507-63090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041507-50517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041506-44451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041507-63090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041507-39372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041507-63090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-48593.png)
(2)连
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041507-83308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041508-75012.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041507-83308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041508-72568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041508-76667.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041508-28194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041508-72568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041509-88892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041509-50788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041509-88892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041509-95456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041509-62813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041510-18653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041510-80425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041510-18653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-48593.png)
由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-44201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-48593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041510-85873.png)
所以平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041505-98722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041510-21750.png)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041457-19511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041457-95905.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-54144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-30850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-65906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-88530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-11305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-92242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-87429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-15049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041451-65906.png)
A.①和② | B.③和④ | C.②和④ | D.①和③ |
(Ⅰ)求证:AC⊥B1C;
(Ⅱ)若D是AB中点,求证:AC1∥平面B1CD;
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041439-21247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041439-67480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041439-42194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041439-67488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041434-97048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041435-86954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041435-40248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041435-24488.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041427-80455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041427-36336.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041427-98899.png)
(2)求面PCD与面PAB所成锐二面角的正切值;
(3)在PC上是否存在一点E,使得DE//平面PAB?若存在,请找出;若不存在,说明理由。
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041428-13743.png)
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