如图,圆柱
的底面半径和母线长均为3,
是底面直径,点
在圆
上且
,点
在母线
上,
,点
是上底面的一个动点,且
,则四面体
的外接球的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771b610e4ddefa739a985d1e5462ce5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60634341a9603e24b2bbc6960abe3d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c906dda139bd140b0dba979af77cdf86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4b93d7abcfc4c3df48f03aa969c17f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/4/15b0dbb8-a4ca-4252-843d-3677c77208d7.png?resizew=219)
更新时间:2023-09-03 20:42:59
|
【知识点】 多面体与球体内切外接问题
相似题推荐
填空题-单空题
|
适中
(0.65)
解题方法
【推荐1】已知三棱锥
的每条侧棱与它所对的底面边长相等,且
,
,则该三棱锥的外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc17568125c6449fb22759bac6d95c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8456792f49d6c1cd2d7690e57a4b558f.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
【推荐2】如图,在直三棱柱
中,
,点E是侧棱
上的一个动点,则下列判断正确的有___________ .(填序号)
![](https://img.xkw.com/dksih/QBM/2022/4/16/2959671514390528/2961385622290432/STEM/e65278c9-7f7d-4a14-89d1-e762780af4a8.png?resizew=188)
①直三棱柱外接球的体积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246fffc9041c2b970076b4a564683a83.png)
②存在点E,使得
为钝角
③截面
周长的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc26e0f1d89b365a45e15e5ed4ac961a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/2022/4/16/2959671514390528/2961385622290432/STEM/e65278c9-7f7d-4a14-89d1-e762780af4a8.png?resizew=188)
①直三棱柱外接球的体积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246fffc9041c2b970076b4a564683a83.png)
②存在点E,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376e279774eb29c7aad3f40a0f4aafe0.png)
③截面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff84e1fe19b1e64c04ffbbbc8f61d97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a327537816d9bd80bc786d3c2298dd0f.png)
您最近一年使用:0次