题目
题型:不详难度:来源:
如图,已知
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071200-69263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071200-11349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-48359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-91580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-50289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-50255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-95746.png)
(1)求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-42570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-98561.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-42884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-74072.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-28154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-56850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-59063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-65175.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-77045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-42570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-39235.png)
由已知,
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-53583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-43719.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-47061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-81034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-98135.png)
所以异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-42570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-98561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-27854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-62161.png)
解法二:如图所示建立空间直角坐标系,
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071204-29961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071204-38867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071204-57966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071204-64651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071204-15869.png)
所以异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-42570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071201-98561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071203-27854.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-42884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071202-74072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071204-42136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071205-28584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071204-42136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071205-75133.png)
体积
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071205-43486.png)
解析
核心考点
试题【(本题满分12分)本题共有2个小题,第1小题满分6分,第2小题满分6分.如图,已知平面,,,,分别是的中点.(1)求异面直线与所成的角的大小;(2)求绕直线旋转】;主要考察你对线线角等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071153-27323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071153-28608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071153-28608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071153-95546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071149-45040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071149-72689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071149-10042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071149-72689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071150-92142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071150-41597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071141-58638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071142-52395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071142-99059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071142-31178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071142-91831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071142-90274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071143-40186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071143-18940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071143-27831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071143-37153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071137-25476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071137-24827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071137-29593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071137-59948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071138-85245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071138-11281.png)
A.![]() | B.![]() | C.![]() | D.![]() |
用铁皮制作一个无盖的圆锥形容器,如图,已知该圆锥的母线与底面所在平面的夹角为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071131-65168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071131-65620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071131-47108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022071131-36069.png)
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