4个半径为1的球两两外切,则这4个球的外切正四面体的棱长为____________ .
更新时间:2020-09-20 15:18:12
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【知识点】 多面体与球体内切外接问题
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【推荐1】下面三个命题中,所有真命题的编号是______ .①空间中三个平面
,
,
,若
,
,则
;②球
与棱长为
的正四面体各面都相切,则该球的表面积为
;③三棱锥
中,
,
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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【推荐2】在三棱锥
中,
,
,
,
,
,且三棱锥
的体积为
,则该三棱锥的外接球的体积为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8390b8e153b2338b6485552996aea6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b546d4123d061cd1bcd825455df62dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f17ef2f38ffd644351cfeaae5ccbfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48a649fcc7057f6d7da5eb65e9db83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce5f0c3c9284f9ce48c5eed98405322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
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