题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-78942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-78310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-68583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-45285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-50136.png)
(Ⅰ)证明:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-85174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-65807.png)
(Ⅱ)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034226-23441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034226-51595.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034226-78193.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034226-23988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-65807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034227-24628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-65807.png)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-85174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-65807.png)
(Ⅱ)由条件平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-78942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034227-57524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034227-69570.png)
过点P作
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034227-59806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034228-72711.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034228-66853.png)
根据平面和平面垂直的性质定理得
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034228-63596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034229-18334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034229-51466.png)
所以,直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034229-56546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034226-23441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034229-11123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034226-23441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034229-18334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034229-94664.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034230-95868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034230-12570.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034225-78310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034230-44944.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034230-97401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034231-98253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034231-92490.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034226-23441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034224-34476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034226-51595.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034213-44419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034213-89118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034213-88777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034214-99947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034214-51675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034214-81040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034213-89118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034214-84927.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034214-65557.png)
(Ⅱ)在棱
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034214-37968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034214-54561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034215-32774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034215-66903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034202-73404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034202-53556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034202-45904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034203-57430.png)
A.相交 | B.异面 | C.平行 | D.异面或相交 |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034157-45238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034158-21758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034158-88529.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034151-44976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034152-46488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034152-94384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034152-46488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034152-94384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034152-64848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034152-94384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034152-32066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034152-46488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034153-74139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034153-58486.png)
A.直线![]() ![]() | B.直线![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034139-46215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034139-70502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034139-64115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106034140-82612.jpg)
(I)求证平面ACD⊥平面BCD;
(II)求证:AD//平面CEF.
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