题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124645-41916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124645-10266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124645-39208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-42158.jpg)
(1)异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-62290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-90611.png)
(2)四棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-59277.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-56541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-71158.png)
解析
试题分析:(1)求异面直线所成的角,就是根据定义作出这个角,当然异面直线的平移,一般是过其中一条上的一点作另一条的平行线,特别是在基本几何体中,要充分利用几何体中的平行关系寻找平行线,然后在三角形中求解,本题中
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-89830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-62290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-94445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-59277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-81671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-81671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-24523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124647-97458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124645-10266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124647-87177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124647-97609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124647-90285.png)
试题解析:(1)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124647-53424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-94445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-62290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-90611.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124647-26093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124648-14561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124648-47587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124648-33940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124648-30035.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124648-25740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124649-36644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124649-62180.png)
所以异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-62290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124646-90611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124649-30553.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124649-70937.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124649-45733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124650-90318.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124650-72497.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124622-14944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124607-39446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124607-27954.jpg)
(1)求证:CD∥平面AEF;
(2)求证:平面AEF⊥平面ABF;
(3)求三棱锥C-AEF的体积,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124538-23324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124539-90647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124539-67504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124539-64622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124539-67504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124538-23324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124539-67624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124539-21549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124540-66398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124540-95234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124540-43851.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124540-88829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124538-23324.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124541-88800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124541-60432.png)
(3)求几何体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124542-23755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124534-31726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124534-78300.jpg)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124526-82340.jpg)
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