题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004644-39122.jpg)
A.![]() | B.![]() | C.![]() | D.![]() |
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004645-52509.jpg)
则A(1,0,0),B(1,1,0),C(0,1,0),C1(0,1,2),设点P的坐标为(0,λ,2λ),λ∈[0,1],点Q的坐标为(1-μ,μ,0),μ∈[0,1],
∴PQ=
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004646-82678.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004646-89832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004646-60687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004646-56448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004645-39309.png)
核心考点
试题【如图,在正四棱柱ABCD-A1B1C1D1中,AA1=2,AB=BC=1,动点P,Q分别在线段C1D,AC上,则线段PQ长度的最小值是( ).A.B.C.D.】;主要考察你对平面的法向量等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004636-15814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004637-24450.jpg)
(1)求证:AD⊥平面BDE;
(2)求二面角B-AD-E的余弦值.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004630-42242.jpg)
(1)求证:平面EAC⊥平面PBC;
(2)若二面角P-AC-E的余弦值为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004630-29878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004625-37000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004625-61677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004625-13402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004625-86996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004625-48290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004625-35024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004625-48290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004625-35024.png)
A.平行 | B.垂直 |
C.所成的二面角为锐角 | D.所成的二面角为钝角 |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004611-78370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004611-16619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004611-55132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004611-36109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004611-16619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004611-68108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004611-26920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004611-60249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004612-67974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004612-83691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004612-15053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004612-84402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004612-95633.png)
(1)求出平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004612-98117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004612-94710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004612-98117.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004613-35456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004555-42880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-56528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-29321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-39357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-39357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-70730.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-86775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-36949.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-48131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004556-82428.png)
(2)求平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004557-58304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106004557-51736.png)
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