题目
题型:不详难度:来源:
(I)证明:D1E上AlD;
(Ⅱ)当E为AB的中点时,求点E到面ACD1的距离;
(Ⅲ)在(II)的条件下,求D1E与平面AD1C所成角的正弦值.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002413-93536.jpg)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002413-62302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002414-30224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002414-26621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002414-86540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002414-58835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002415-74196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002415-19731.png)
(Ⅱ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002415-10628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002415-91169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002416-35648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002416-22560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002416-15411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002416-52129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002417-75157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002417-66309.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002417-49987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002417-12421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002417-77488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002415-10628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002416-52129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002418-55017.png)
(Ⅲ)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002418-90016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002418-14097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002418-35667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002419-96185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002419-43560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002419-45964.png)
解析
核心考点
试题【(本小题满分12分)如图,在长方体ABCD-A1B1C1D1中,AD=AAl=1,AB=2,点E在棱AB上移动.(I)证明:D1E上AlD;(Ⅱ)当E为AB的中】;主要考察你对空间几何体的结构特征等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002408-10873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002408-28477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002408-10873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002408-28477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002408-10873.png)
(Ⅰ)求证:P、C、D、Q四点共面;
(Ⅱ)求证:QD⊥AB.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002409-62621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002355-76279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002356-87128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002356-31805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002356-36937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002356-51263.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002357-24038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002357-18554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002356-51263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002357-36098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002356-36937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002357-68232.png)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002358-16531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002357-18554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002357-68232.png)
A.4个 | B.3个 | C.2个 | D.1个 |
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002346-44881.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002343-68612.png)
(1)求证:MN∥平面PAD。
(2)求证:MN
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002343-68612.png)
(3)若PD与平面ABCD所成的角为450,
求证:MN
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002343-68612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021002343-30349.png)
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