1 . 球的体积公式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6f06f294d7c19cedd8ebd33cddc235.png)
__________ ,球的表面积公式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad16737748fd2eaff0641caec723da8b.png)
__________ ,(
为球的半径).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6f06f294d7c19cedd8ebd33cddc235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad16737748fd2eaff0641caec723da8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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21-22高一·全国·课后作业
2 . (1)球的表面积
设球的半径为R,则球的表面积![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
_________ ,即球的表面积等于它的大圆面积的4倍.
(2)球的体积
设球的半径为R,则球的体积![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad83973d1361b2928c7e783ffd073b75.png)
_________ .
设球的半径为R,则球的表面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
(2)球的体积
设球的半径为R,则球的体积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad83973d1361b2928c7e783ffd073b75.png)
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2021·全国·模拟预测
解题方法
3 . 两个互相垂直的平面截球
得圆
,
,若圆
,
的相交弦长为4,则球
表面积的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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