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1 . 已知圆锥的体积为
,底面半径
与
互相垂直,且
;
是母线
的中点.
![](https://img.xkw.com/dksih/QBM/2020/11/27/2601870764351488/2605516177252352/STEM/9c2fc2e5-070a-4360-bfee-762ec8712f71.png?resizew=235)
(1)求圆锥的表面积
(2)求异面直线
与
所成角的大小(结果用反三角函数表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f16e77b039842ae40a4b04c527655a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b5e290c6b2c5508a3bf6117afbf7e1.png)
![](https://img.xkw.com/dksih/QBM/2020/11/27/2601870764351488/2605516177252352/STEM/9c2fc2e5-070a-4360-bfee-762ec8712f71.png?resizew=235)
(1)求圆锥的表面积
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
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