题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083348-81753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083348-53792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083348-17826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083348-55854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083348-92134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-21553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-29098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-21553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-78081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-43043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
(1)证明:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-45568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-99300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083351-88021.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083351-43236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083351-81006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083351-90735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083351-71726.jpg)
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-70012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-43864.png)
第二问中,将该几何体的体积分解为两个三棱锥的体积即可。注意合理分解为两个特殊几何体的体积是解决该试题的关键。
解: (1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-99378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-68036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-33711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083353-24327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-21553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083353-58371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083353-10519.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083353-49047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083354-26587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-43864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083354-10476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-70012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-43864.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083354-64397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-45568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083353-58371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-45568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-99300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083351-88021.png)
(2)设所求简单几何体的体积为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083354-96417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083354-44411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083355-46151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083355-50210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083355-52237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083353-58371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083355-92005.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083356-42344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083356-40458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083356-13558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083356-61442.png)
方法一: 连
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083356-18540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083357-46602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083357-97011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083357-17840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083357-34623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083357-40248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083358-88847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083358-25358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083353-58371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083358-11974.png)
方法二:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083352-99378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083358-58860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083349-88221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083358-59223.png)
又由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083359-11352.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083359-26896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083359-82934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-78081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083359-25680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083359-75267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083350-78081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083400-83454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083400-64727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083400-91854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083400-83931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083401-29125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083401-88272.png)
核心考点
试题【(本小题满分14分)如图,一简单几何体有五个顶点、、、、,它的一个面内接于⊙,是⊙的直径,四边形为平行四边形,平面.(1)证明:平面平面;(2)若,,,求该简单】;主要考察你对空间几何体的视图与直观图等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083340-94363.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083335-46060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083335-14747.png)
(Ⅰ)证明:PC⊥平面BED;
(Ⅱ)设二面角A-PB-C为90°,求PD与平面PBC所成角的大小
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021083325-32103.jpg)
A.![]() | B.![]() |
C.![]() | D.![]() |
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