题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041331-87524.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041332-98411.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041332-24356.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041332-58177.gif)
(2)求点E到面SCD的距离;
(3)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041332-85159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041333-36302.jpg)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041333-35452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041333-29111.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041333-31196.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041333-16273.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041334-48898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041334-63618.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041334-48580.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041334-92967.gif)
(2):∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041335-28852.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041335-76280.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041335-66746.gif)
设点E到面SCD的距离为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041335-12233.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041335-13155.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041333-35452.gif)
(3)连AC,分别过B作
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041336-89649.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041336-66644.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041332-85159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041336-71392.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041336-13494.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041336-36515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041337-79765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041337-26187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041332-85159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041333-29111.gif)
核心考点
试题【 如图,在五棱锥中,,.(1)求证:;(2)求点E到面SCD的距离;(3)求二面角的大小.】;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/20191021/20191021041319-39987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041319-35122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041319-19528.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-87601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-31827.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041319-39987.gif)
(1) 证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-87453.gif)
(2) 在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-81059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-63681.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-50647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-17447.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-63681.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-50647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-17447.gif)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-34740.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-23948.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041320-76892.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041306-35658.gif)
PAD⊥面ABCD(如图2)。
(1)证明:平面PAD⊥PCD;
(2)试在棱PB上确定一点M,使截面AMC,把几何体分成的两部分
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041306-24305.gif)
(3)在M满足(Ⅱ)的情况下,判断直线AM是否平行面PCD.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041306-19184.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-19570.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-71025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041300-77744.jpg)
(I) (I)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041300-55623.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
(Ⅱ)求二面角B-AF-一-C的大小.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041259-90871.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041251-22308.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041252-64043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041252-78911.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041252-52160.gif)
(Ⅰ)当直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041252-52160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041252-89655.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041252-62367.gif)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041252-88757.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021041251-22308.gif)
(2)AC′与BD所成的角.
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