题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-88502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-38129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-38129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-20625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-56107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-96883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-22661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-82029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-26547.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-73927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-82029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-31903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-48660.png)
(2)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-53828.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-11236.png)
解析
试题分析:(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-55969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-20625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-56022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-26684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-77035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-58762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-31903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-48660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-18620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-96883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-32856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-88467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-47153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-11969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-73066.png)
试题解析:(1)如图,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124253-21302.png)
连接
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-55969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-20625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-56022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-26684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-77035.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-88502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-56022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-55969.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-73927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-82029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-58762.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124253-40059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-48660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124253-46984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-48660.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-31903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124250-48660.png)
(2)在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-18620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-96883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-32856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-88467.png)
在菱形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-88502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124253-83163.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-38129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124249-20625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124254-41809.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124254-22751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124254-42034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124254-30311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124254-50880.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124255-52659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-47153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124252-11969.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124255-76418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124255-47764.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124255-65320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124256-58448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124251-11236.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124244-87793.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124228-54007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124219-97808.jpg)
(1)求证:BD⊥平面POA;
(2)记三棱锥PABD体积为V1,四棱锥PBDEF体积为V2,且
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124219-65935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124153-87301.png)
A.![]() | B.3![]() | C.![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021124145-38089.png)
A.16π | B.24π | C.32![]() | D.48π |
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