题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-39876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-34170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-54047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-72455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-93806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-50515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-81272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-44531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-71809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-42056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-56536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-64847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-41667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-81161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-30822.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-78968.png)
解析
试题分析:分析:如图,过
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-56536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-57181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-24113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-43328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-83260.png)
∵平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-44531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-71809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-49799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-91116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-58092.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020537-49349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020535-71809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020537-79966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020537-90381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020537-66507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020537-83699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020537-89255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020537-49361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020537-99726.png)
容易得到,当
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-72455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020538-29132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020538-73532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020538-53773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020534-72455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020538-91587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020538-73532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020538-53773.png)
∴t的取值范围是
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020536-78968.png)
核心考点
试题【如图,在长方形中,为的中点,为线段(端点除外)上一动点,现将沿折起,使平面平面.在平面内过点作为垂足,设,则的取值范围是________】;主要考察你对向量与空间位置关系等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020523-28518.jpg)
(1)求证:平面PAB⊥平面PCB;
(2)求证:PD∥平面EAC.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020518-75222.jpg)
(1)求证:平面PAC⊥平面PBC;
(2)若AB=2,AC=1,PA=1,求二面角CPBA的余弦值..
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020505-82711.jpg)
(1)求证:PC⊥BD;
(2)过直线BD且垂直于直线PC的平面交PC于点E,且三棱锥E-BCD的体积取到最大值.
①求此时四棱锥E-ABCD的高;
②求二面角A-DE-B的正弦值的大小.
①如果α⊥β,那么α内一定存在直线平行于β
②如果α不垂直于β,那么α内一定不存在直线垂直于β
③如果α⊥γ,β⊥γ,α∩β=l,那么l⊥γ
④如果α⊥β,l与α,β都相交,那么l与α,β所成的角互余
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106020458-16074.jpg)
(1)求证:DE∥平面PBC;
(2)求证:DE⊥平面PAB.
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