解题方法
1 . 如图,四边形
是一个半圆柱的轴截面,E,F分别是弧
,
上的一点,
,点H为线段
的中点,且
,
,点G为线段
上一动点.
![](https://img.xkw.com/dksih/QBM/2022/4/9/2954584608210944/2955649044578304/STEM/03ac218cc0d148afa5ee26f4c36925d4.png?resizew=151)
(1)试确定点G的位置,使![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
平面
,并给予证明;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd6020b78ff385667b30088ecadeadd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5441d73845911db1993bf903c4d8700f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3b11d0be9f927c242e19991c8ac6c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/2022/4/9/2954584608210944/2955649044578304/STEM/03ac218cc0d148afa5ee26f4c36925d4.png?resizew=151)
(1)试确定点G的位置,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630a21ba7a8e1b8bca73c1634cc6f74d.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a36611b597dc88c4f81fb341bbaf27f.png)
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2022-04-11更新
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5卷引用:江西省宜春市2022届高三模拟考试数学(文)试题
江西省宜春市2022届高三模拟考试数学(文)试题(已下线)回归教材重难点03 立体几何-【查漏补缺】2022年高考数学(文)三轮冲刺过关(已下线)秘籍06 立体几何(文)-备战2022年高考数学抢分秘籍(全国通用)(已下线)第03讲 空间图形的表面积和体积-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)山东省潍坊市昌邑市潍坊实验中学2022-2023学年高二上学期9月月考数学试题
2021·全国·模拟预测
名校
2 . 取两个相互平行且全等的正
边形,将其中一个旋转一定角度,连接这两个多边形的顶点,使得侧面均为等边三角形,我们把这种多面体称作“
角反棱柱”.当
时,得到如图所示棱长均为2的“六角反棱柱”,则该“六角反棱柱”外接球的表面积等于( )
![](https://img.xkw.com/dksih/QBM/2021/5/23/2727165366648832/2731606354223104/STEM/62b679ad-7100-494f-9172-ebf3b741f6da.png?resizew=202)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c345907ebe27888332b1b44c666cc47.png)
![](https://img.xkw.com/dksih/QBM/2021/5/23/2727165366648832/2731606354223104/STEM/62b679ad-7100-494f-9172-ebf3b741f6da.png?resizew=202)
A.![]() | B.![]() | C.![]() | D.![]() |
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