名校
1 . 如图,已知四面体
中,
且
两两互相垂直,点
是
的中心.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/e3466ecd-2c34-4a59-bb4f-c0edc5179398.png?resizew=163)
(1)过
作
,求
绕直线
旋转一周所形成的几何体的体积;
(2)将
绕直线
旋转一周,则在旋转过程中,直线
与直线
所成角记为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d0940640175a58cb07103f93cc82fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc4bb4423e7ee3d6fd3b96431a59e44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/e3466ecd-2c34-4a59-bb4f-c0edc5179398.png?resizew=163)
(1)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e94633285fd100c13a7cd4d13fad631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7395984bc46082072e64488def5890e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8045847365f5dd3658ffd216c097ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
您最近一年使用:0次
2019-06-13更新
|
73次组卷
|
2卷引用:上海市2018-2019学年高二下学期阶段性检测数学试题