题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-81836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-59742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-97624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-61606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-18550.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-71490.png)
(2)求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-53570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-60950.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-84766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043344-21248.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043344-14622.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043344-85353.png)
解析
试题分析:(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-84766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-59742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-97624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-61606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043344-21248.png)
因为,正方体
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-81836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043344-47949.png)
(2)连接AC,因为,
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043344-25717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-53570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-60950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043345-80868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-81836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-59742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-97624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043342-61606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043345-46811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-53570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043343-60950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043345-77355.png)
点评:中档题,本题充分利用正方体中的平行关系、垂直关系,应用异面直线垂直的定义及异面直线所成角的定义,将空间问题转化成平面问题,利用勾股定理及余弦定理,使问题得到解决。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043333-59536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043333-93184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043333-47969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043333-70249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043333-72604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043334-23256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043334-19189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043334-48188.png)
(1) 求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043334-57720.png)
(2) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043335-69368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043335-26851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043335-35375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043326-62499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043326-34455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043327-68529.png)
_______________
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043319-91790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043319-56178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043319-22200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043320-56163.png)
(1) 求证:AB⊥平面ADC;
(2) 求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043319-91790.png)
(3) 求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043320-56065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043313-61207.png)
A.若![]() ![]() |
B.若![]() |
C.若![]() |
D.若![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043303-98216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043303-86714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043304-14463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043304-16152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043304-36383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043304-27456.jpg)
A.![]() | B.![]() |
C.![]() | D.![]() |
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