题目
题型:不详难度:来源:
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081642-19101.png)
解析
解:设两平面为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081642-63188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081642-79524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081642-39909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081643-57161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081643-33361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081643-57976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081643-57161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081643-33361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081643-33361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081643-35758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081644-49623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081644-28245.png)
答案:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081644-66956.png)
核心考点
举一反三
在棱长为4的正方体ABCD-A1B1C1D1中,O是正方形A1B1C1D1的中心,点P在棱CC1上,且CC1=4CP.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081637-59727.gif)
(1)、求直线AP与平面BCC1B1所成的角的大小(结果用反三角函数值表示);
(2)、求点P到平面ABD1的距离.
如图,斜三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081627-95533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081627-52217.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081627-69587.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081627-92770.jpg)
(
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081628-32782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081628-74470.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081628-97336.gif)
(2)求此棱柱的侧面积 。
如图,几何体ABCDE中,△ABC是正三角形,EA和DC都垂直于平面ABC,且EA=AB=2a, DC=a,F、G分别为EB和AB的中点.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081617-25116.jpg)
(1)求证:FD∥平面ABC;
(2)求证:AF⊥BD;
(3) 求二面角B—FC—G的正切值.
如图,菱形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081601-82366.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081601-15514.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081602-72775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081602-23903.gif)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081602-14284.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081602-10781.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081603-54159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081603-16261.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081603-32586.gif)
(Ⅲ)在(Ⅱ)的条件下,求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081603-64688.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081604-19347.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081604-71370.gif)
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081521-94481.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081522-38483.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081522-16280.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081522-71422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081522-83157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081523-32745.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081523-45343.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081524-20288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081524-60858.gif)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081525-43181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081522-71422.gif)
(Ⅱ)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081525-60935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022081522-71422.gif)
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