题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041607-27250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041607-31715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041607-13259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041607-24002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041607-26172.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041607-68085.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041607-86855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041607-57782.png)
答案
(Ⅰ)如图,建立坐标系,则
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-96907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-47534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-34184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-11662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-48096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-83014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-11040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-73561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041608-78622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041609-87532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041609-44505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041609-36876.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041609-84724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041609-69756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041609-91714.png)
(Ⅱ)设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041610-42225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041610-41357.png)
设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041610-81452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041610-65664.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041610-55882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041610-18875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041610-54606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041610-11451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041611-36126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041611-76321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041611-14710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041611-50128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041612-92494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041612-72795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041612-36983.png)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041557-78159.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041548-55227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041549-96393.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041549-33164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041549-45838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041549-39459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041550-74775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041550-34945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041550-42190.png)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041550-66861.png)
(2) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041551-48237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041551-95152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041551-32833.jpg)
(1)求证AP∥平面EFG;
(2)求平面EFG与平面PDC所成角的大小;
(3)求点A到平面EFG的距离。
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041540-97835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041540-97835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041528-59430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041529-88312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041529-72506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041529-13693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041529-96487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041530-33505.png)
(1)求证:面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041530-76175.png)
(2)求点C到平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041530-13207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041530-64525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-31117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-55384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-91427.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-68686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-74246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-90025.png)
(Ⅱ)若平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-16429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-14743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041518-55384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041519-94072.png)
(Ⅲ)在棱
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041519-21510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041519-64848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041519-76229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041519-23573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041520-47316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041520-95902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106041520-95170.png)
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