题目
题型:不详难度:来源:
①如果
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
②如果平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
③若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-58869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-58869.png)
④已知平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
⑤已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
其中正确命题的序号是 .
答案
解析
试题分析:对于①如果
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
对于②如果平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
对于③若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-58869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-58869.png)
对于④已知平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
对于⑤已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-88229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053337-25001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-93841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053338-59604.png)
点评:解决该试题的关键是对于空间中线面以及面面位置关系的理解和运用,属于中档题。
核心考点
试题【给出下列命题:①如果,是两条直线,且//,那么平行于经过的任何平面;②如果平面不垂直于平面,那么平面内一定不存在直线垂直于平面;③若直线,是异面直线,直线,是异】;主要考察你对线线角等知识点的理解。[详细]
举一反三
在直三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053327-52374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053328-78006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053328-20322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053328-55335.png)
(1)证明:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053328-37938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053329-95195.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053329-73705.png)
(3)设P是BE的中点,求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053329-39628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053314-27684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053314-68775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053315-70462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053315-18053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053315-19136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053315-57172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053316-45915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053316-88139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053316-47983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053316-74111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053309-28216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053309-18925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053309-29262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053309-61896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053310-87297.png)
(I) 证明: PA∥平面EDB;
(II) 证明:PB⊥平面EFD;
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053301-38539.png)
(Ⅰ)证明PQ⊥平面ABCD;
(Ⅱ)求异面直线AQ与PB所成的角;
(Ⅲ)求点P到平面QAD的距离.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053250-76696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053251-83353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053251-89503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053251-16777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053251-50948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053252-55014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053252-97266.jpg)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053252-28471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053252-28030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053252-11578.png)
(Ⅱ)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053253-59256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053253-40615.png)
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