若一个圆锥的轴截面是边长为6的等边三角形,则这个圆锥外接球的表面积为( )
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更新时间:2022-06-29 16:05:55
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【推荐1】如图,三棱锥
中,
,
,且
,则三棱锥
的外接球表面积为
![](https://img.xkw.com/dksih/QBM/2017/5/26/1695369071976448/1736965899231232/STEM/695a84a8531c4f4d9921f7d359164aca.png?resizew=129)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34933abea49d701b9bf40f3e88f0576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0af8c53f948eeec9df192e4d5878ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819dcfc55b777097bd41c5effe56cf9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://img.xkw.com/dksih/QBM/2017/5/26/1695369071976448/1736965899231232/STEM/695a84a8531c4f4d9921f7d359164aca.png?resizew=129)
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【推荐2】在三棱锥A﹣BCD中,△ABD与△CBD均为边长为2的等边三角形,且二面角
的平面角为120°,则该三棱锥的外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1854ba6cc92481d7a616bd2788a47e.png)
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【推荐1】我国古代《九章算术》中将上下两面为平行矩形的六面体称为刍童.如图的刍童
有外接球,且
,
,
,
,平面
与平面
间的距离为1,则该童外接球的表面积为( )
![](https://img.xkw.com/dksih/QBM/2022/7/11/3020349800685568/3021590374686720/STEM/2be3a69d5c72463b99c3cfbf3c583946.png?resizew=194)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a0c3a4e61b97fa9bc58f3179fc2958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bae5203f4b4acf23779114b3466e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffb83d40296b52dfcccebede3677cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb04497a6cfe70c39c578b81e8dca33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://img.xkw.com/dksih/QBM/2022/7/11/3020349800685568/3021590374686720/STEM/2be3a69d5c72463b99c3cfbf3c583946.png?resizew=194)
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【推荐2】现有一个三棱锥形状的工艺品
,点
在底面
的投影为
,满足
,
,
,若要将此工艺品放入一个球形容器(不计此球形容器的厚度)中,则该球形容器的表面积的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb60387abfdabf5d4c6a5fa057e6bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0b9bc933eed41fbab082d9b50c5476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d04c48e05c102593ecab382205494cf.png)
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