名校
1 . 如图,在四棱锥
中,平面
平面
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/5/3/2971556730806272/2973106767257600/STEM/79650ada-784b-4eee-9e0a-188f9385105b.png?resizew=203)
(1)求证:
平面
;
(2)若三棱锥
的外接球表面积为
,求三棱锥
的体积与三棱锥
的外接球的体积的比值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b9a5e110c068c60dd41f95bce4ab1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af260e0d98c95d1e092dc4c6d348e3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c9dda5e21318e671d6f1cc10f2ed32.png)
![](https://img.xkw.com/dksih/QBM/2022/5/3/2971556730806272/2973106767257600/STEM/79650ada-784b-4eee-9e0a-188f9385105b.png?resizew=203)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b172e3aae625013716b30fae2c59279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95345846d2dd4dfa042a9093c62a8b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b183492677d0457b8701c53d9fa1414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b183492677d0457b8701c53d9fa1414.png)
您最近一年使用:0次
解题方法
2 . 已知一个球的外切圆台的上、下底面半径分别为
、
,求出该球的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
您最近一年使用:0次
名校
3 . 如图,将棱长为2的正方体
沿着相邻的三个面的对角线切去四个棱锥后得一四面体
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/d02de8dd-5fc8-425b-983e-2449bb1d30cf.png?resizew=161)
(Ⅰ)求该四面体的体积;
(Ⅱ)求该四面体外接球的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ecdb67efb9d0fcd60feea31a1c464a6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/d02de8dd-5fc8-425b-983e-2449bb1d30cf.png?resizew=161)
(Ⅰ)求该四面体的体积;
(Ⅱ)求该四面体外接球的表面积.
您最近一年使用:0次
2019-04-28更新
|
773次组卷
|
5卷引用:湖南省岳阳市第一中学2019-2020学年高一下学期第一次质量检测数学试题