题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130637-29360.png)
A.![]() | B.![]() | C.![]() | D.![]() |
答案
解析
试题分析:先求球的半径,直径就是正方体的对角线,然后求出正方体的棱长.
正方体外接球的体积是
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130638-38768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130638-11947.png)
正方体的对角线的长为2,棱长等于
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130638-65464.png)
故选D.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130626-43234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130626-46595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130627-99211.jpg)
(1)求证:EM∥平面ABC;
(2)试问在棱DC上是否存在点N,使NM⊥平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130627-86479.png)
点N的位置;若不存在,请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130617-55284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130617-35879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130617-42082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130617-40590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130617-57501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130617-45701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130617-67738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130617-14258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130618-88141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130618-15569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130618-42148.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130618-34767.png)
(Ⅰ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130618-95139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130618-15569.png)
(Ⅱ)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130618-74116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130607-65919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130601-52284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130601-63675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130602-41551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130602-88445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130601-63675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130602-19514.png)
(Ⅰ)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130602-47325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130602-21754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130603-91330.png)
(Ⅱ)如果正方形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130601-63675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021130603-81201.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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