在正三棱锥
中,
,正三棱锥
的体积是
,则正三棱锥
外接球的表面积是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
更新时间:2022-07-22 18:28:10
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适中
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【推荐1】已知三棱锥
的四个面都是边长为2的正三角形,
是
外接圆
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,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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解题方法
【推荐2】已知在△
中,角A,B,C的对边分别是a,b,c,若△
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边上中线的长为
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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【推荐1】某几何体的三视图如图所示(单位:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b77fcbd8001b946d98b01b7d4999ab.png)
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【推荐2】三棱锥
的所有顶点都在半径为2的球
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体积的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ab13ef156d034b710d811e09b0be34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
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解题方法
【推荐1】在三棱锥
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f780afd52b9e0fb11a91933914f952a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2b0bbc148a39de7c88168835b93338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c992b1fab9fa525e896cd5b3c5b64639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519bd215d019509fa2d88e57f145a896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
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【推荐2】半正多面体亦称“阿基米德体”“阿基米德多面体”,是以边数不全相同的正多边形为面的多面体.某半正多面体由4个正三角形和4个正六边形构成,其可由正四面体切割而成,如图所示.已知
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