题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061806-31853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061807-61836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061807-59077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061807-11151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061807-97674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061807-50742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061807-65246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061808-74695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061808-35211.jpg)
A.45° | B.60° | C.90° | D.120° |
答案
解析
试题分析:将EF//A
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061808-96636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061808-96636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061808-96636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061808-96636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061808-96636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061808-96636.png)
点评:解决该试题的关键是通过平移法来得到相交直线的夹角即为所求的异面直线的所成的角的求解的问题的运用。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061755-92208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061755-12682.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061755-70306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061756-19973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061756-34982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061756-39201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061756-44267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061757-38133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061757-22043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061756-34982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061756-34982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061757-33745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061757-27319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061757-17954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061758-84657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061758-58340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061758-30022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061758-88154.png)
A.1 | B.2 | C.3 | D.4 |
如图,在四棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061744-74544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061745-45463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061745-63333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061745-45463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061745-10986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061745-98323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061745-12381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061745-13346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061746-57515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061746-91681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061746-29046.png)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061746-66149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061746-61429.png)
(2)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061747-49226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061746-66149.png)
(3)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061745-12381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061746-66149.png)
如图,已知几何体的三视图(单位:cm).
(1)在这个几何体的直观图相应的位置标出字母
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061727-26532.png)
(2)求这个几何体的表面积及体积;(6分)
(3)设异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061727-22845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061727-38046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061727-12457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061728-35199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061728-65589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061728-88636.png)
如图,四棱锥P—ABCD中,PB⊥底面ABCD,CD⊥PD,底面ABCD为直角梯形,AD∥BC,AB⊥BC,AB=AD=PB=3,点E在棱PA上,且PE=2EA。
(1)求直线PC与平面PAD所成角的余弦值;(6分)
(2)求证:PC//平面EBD;(4分)
(3)求二面角A—BE—D的余弦值.(4分)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061719-84315.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061713-96632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022061713-37792.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() |
C.若 ![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
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