题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-27840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-74343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-46289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-62404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-18336.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-31382.png)
(2)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-34807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-38168.png)
解析
试题分析:(1)要证面面垂直,需在一个面内找一条直线与另外一个平面垂直,此题在面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-30121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-89766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-69908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-73848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-59832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021305-38567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021305-80604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021305-93418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-69908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-34807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021305-32712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021305-10961.png)
试题解析:(1)证明:∵
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-69908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021306-56847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-73848.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-74343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021306-23694.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021306-63662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021307-98509.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021307-40631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021307-98509.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021307-14401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-30121.png)
∴面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021307-42275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-30121.png)
(2)解:连接
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021305-93418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021308-97414.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-46289.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021305-93418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-34807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021305-32712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-34807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021308-20955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-74343.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021308-95072.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021308-90115.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021309-86991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-34807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021303-85901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021304-38168.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021248-27377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021249-89974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021249-48419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021249-62155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021249-82344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021249-86652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021249-78537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021250-99293.jpg)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021250-46766.png)
(Ⅱ)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021250-23226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021240-88039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021240-92102.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021240-49845.png)
(2)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021240-65814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021230-84572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021230-11803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021230-56465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021230-85996.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021231-15004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021231-68440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021231-77077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021231-96762.png)
其中真命题的有________(请填写全部正确命题的序号)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021215-96460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021215-31209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021216-98874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021215-31209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021216-36633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021216-65808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021216-18510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021217-98178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021217-65364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021217-44854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021217-52910.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021218-98627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021218-87056.png)
(2)若线段
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021218-72352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021218-31290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021219-17283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021208-46047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021208-60470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021208-62803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021208-51443.png)
(1)求证:EF//平面PAD;
(2)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021208-78521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106021209-41908.png)
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