在三棱锥
中.
是边长为
的正三角形.
,其内有
个小球,球
与三棱锥
的四个面都相切,则球
的半径为______ ,球
与三棱锥
的三个面和球
都相切,以此类推,……,球
与三棱锥
的三个面和球
(
,
)都相切,则球
的表面积等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27567d43c5b91382ee3d7ca708ee422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec68898811ed0c69c91a37ccc683152c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be77704255b3cadb7ae2a66ec35205ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202ff6a94081e19ed88a6ae2dba3792f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deda945164283569437cda6976fe35ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be77704255b3cadb7ae2a66ec35205ec.png)
更新时间:2021-08-11 20:33:37
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解题方法
【推荐2】已知正项数列
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名校
【推荐2】直三棱柱
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解题方法
【推荐1】圆柱的侧面展开图是一个面积为
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【推荐2】已知一个三棱锥的三视图如图所示,其中俯视图是等腰直角三角形,则该三棱锥的外接球体积为__________ .
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