题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-76763.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-76763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-76763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-76763.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-76763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-76763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-76763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-42006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-76763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061214-42006.png)
其中真命题是 .
答案
解析
试题分析:三个平面两两相交,可以有三条交线也可以有一条交线,所以①不正确;垂直于同一平面的两个平面可以平行,也可以相交,所以②不正确;③中这两条直线也可以平行,所以③也不正确.
点评:解决此类问题,关键是紧扣定理,定理中要求的条件缺一不可.
核心考点
试题【有三个平面,β,γ,给出下列命题:①若,β,γ两两相交,则有三条交线 ②若⊥β,⊥γ,则β∥γ③若⊥γ,β∩=a,β∩γ=b,则a⊥b ④若∥β,β】;主要考察你对线线角等知识点的理解。[详细]
举一反三
(1)如果平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-82205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
(2)如果平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-82205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-82205.png)
(3)如果平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-82205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-82205.png)
(4)如果平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-82205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-20654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061205-82205.png)
真命题的序号是 .(写出所有真命题的序号)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061155-28843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061155-28843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061155-68661.png)
(1)设∠CA1O =
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061156-74976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061156-74976.png)
(2)请你设计
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061156-74976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061156-74976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061155-68661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061156-66036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061148-24896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061148-12450.png)
现给出下列四个命题:
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061148-86388.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061148-92505.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061149-78182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061149-66632.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061149-39651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061149-78713.png)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061150-71591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061150-10237.png)
其中,所有真命题的序号是 .
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061140-69063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061140-65524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061140-54565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061140-37644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061141-63787.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061141-12841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061141-60094.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061141-50021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061141-66302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061142-18364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061142-67273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061142-21143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061142-23679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061141-60094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061125-99807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061126-21934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061126-76762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061126-76762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061126-10123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061126-95676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061127-37512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061127-81914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061127-50148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061127-59653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061127-51052.png)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061128-27303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061128-77878.png)
(2)求平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061128-83890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061128-38721.png)
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