高为5的圆锥的顶点和底面圆都在球
的表面上,若球
的体积为
,则这个圆锥的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f0fbe64630fbe695d5489932e7f952.png)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2023-12-14 10:12:00
|
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单选题
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解题方法
【推荐1】某几何体的三视图如图所示,则该几何体的体积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/88b32927-efec-48cc-9ac3-781ae0d385f9.png?resizew=191)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/88b32927-efec-48cc-9ac3-781ae0d385f9.png?resizew=191)
A.4 | B.2 | C.6 | D.![]() |
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【推荐2】如图所示的网格中小正方形的边长均为
,粗线画出的是某三棱锥的正视图和俯视图,若该三棱锥的侧视图面积为
,则该三棱锥的体积为( )
![](https://img.xkw.com/dksih/QBM/2022/2/22/2922011295703040/2925462949003264/STEM/787a4495-4b5c-4916-8e8c-aa9c6be6591d.png?resizew=137)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://img.xkw.com/dksih/QBM/2022/2/22/2922011295703040/2925462949003264/STEM/787a4495-4b5c-4916-8e8c-aa9c6be6591d.png?resizew=137)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】一个几何体的三视图如图(图中尺寸单位:m),则该几何体的体积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/7fc65de5-d2c5-4a4c-9f58-7d2350756662.png?resizew=273)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/7fc65de5-d2c5-4a4c-9f58-7d2350756662.png?resizew=273)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】已知长方体
的体积为
,
,
,若该长方体的八个顶点都在球
的球面上,则球
的体积是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3cdabbb5af16836d91c2abc62854f50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a989af1433045f5a255ced75f4b62a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab23e685a7c44c1d10ab1d6e3e44ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】四面体
的顶点都在同一球面上,其中OA,OB,OC两两垂直,且
,
,则该球面的表面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50bf7d7fa347c09dedde116bb787a3c7.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】一个正四棱柱的每个顶点都在球
的球面上,且该四棱柱的底面面积为3,高为
,则球
的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐3】如图在正三棱锥
中,
分别是棱
的中点,
为棱
上的一点,且
,
,若
,则此正三棱锥
的外接球的体积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/213f2ce1-0942-403d-b46e-30799d1c2e65.png?resizew=156)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414518967d81612a55f6e0244d33600f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e507746f39a04e54954b731644e981b.png)
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