题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043536-99020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043536-31488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043537-43166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043537-53793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043537-33415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043537-96621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043538-59883.png)
(1)求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043538-42776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043538-72648.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043538-95064.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043538-61327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043539-93729.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043539-63411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043539-80168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043539-56852.png)
解析
试题分析:以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043538-61327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043540-40765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043537-96621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043540-73416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043540-13555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043540-46319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043540-47400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043541-44801.jpg)
则有
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043541-44452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043541-30673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043541-51302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043542-42060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043542-90743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043542-18030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043542-35485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043542-19792.png)
(3)设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043543-97360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043543-16183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043543-18812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043543-28849.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043544-49349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043544-62605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043544-52265.png)
由(1)知平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043539-93729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043544-45971.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043542-18030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043544-22489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043545-85041.png)
结合图形可知,二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043538-95064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043539-80168.png)
设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043539-93729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043545-18619.png)
则由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043545-17554.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043545-46369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043546-12349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043538-61327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043539-93729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043546-70966.png)
点评:题考查的知识点是二面角的平面角及求法,直线与平面平行的判定,点到平面的距离,属基础题.
核心考点
举一反三
①若a//M,b//M, 则a//b ②若a//M, b⊥M,则b⊥a
③若a
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043534-47879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043534-47879.png)
其中正确的命题是
A.①② | B.②③ | C.②④ | D.①④ |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043526-99508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043526-99508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043526-99347.png)
(1) 求CD与面ABC所成的角正弦值的大小;
(2) 对于AD上任意点H,CH是否与面ABD垂直。
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043507-96400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043507-33637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043507-95041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043507-55124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043507-37527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043508-41064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043508-30654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043508-29306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043508-69770.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043508-44218.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043508-85979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043509-92612.png)
(3)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043509-38364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043509-24550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043431-13162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043432-59905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043432-19980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043432-90634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043432-26297.png)
(1)若AE=2,求证:AC∥平面BDE;
(2)若二面角A—DE—B为60°.求AE的长。
A.垂直和平行 | B.均为平行 | C.均为垂直 | D.不确定 |
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