已知母线长为a的圆锥的侧面展开图为半圆,在该圆锥内放置一个圆柱,则当圆柱的侧面积最大时,圆柱的体积为( )
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更新时间:2023-07-16 00:14:51
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【推荐1】甲、乙两个圆锥的母线长相等,侧面展开图的圆心角之和为
,侧面积分别为
和
,体积分别为
和
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4c1dca14c24d7ca283d57f67f204fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e87e871be50ca31a5134ee41ef7ef9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9e60e949f1626a58a8c0eb756f580d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422eecc565e31056bd2aebb882ad2703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f98a2d9c0ed32f1d91a0621481a43b9.png)
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【推荐2】如图,一竖立在水平地面上的圆锥形物体的母线长为
,一只小虫从圆锥的底面圆上的点
出发,绕圆锥表面爬行一周后回到点
处,若该小虫爬行的最短路程为
,则圆锥底面圆的半径等于
![](https://img.xkw.com/dksih/QBM/2017/5/16/1688070007185408/1688637107634176/STEM/ec5901835ef04057a0ce853bdb8174a6.png?resizew=194)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade9841a8e6840efddcfd8620a6fc1fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7efd65e5b62ab1c8d18a0972664a03da.png)
![](https://img.xkw.com/dksih/QBM/2017/5/16/1688070007185408/1688637107634176/STEM/ec5901835ef04057a0ce853bdb8174a6.png?resizew=194)
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【推荐1】如图所示,半径为4的球O中有一内接圆柱.当圆柱的侧面积最大时,球的表面积与圆柱的侧面积之差为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/b9d8b97f-c926-4476-9453-521260ee4a35.png?resizew=120)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/b9d8b97f-c926-4476-9453-521260ee4a35.png?resizew=120)
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【推荐2】已知一个圆柱上,下底面的圆周都在同一个球面上,球的直径为10,圆柱底面直径为6,则圆柱的侧面积为( )
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【推荐1】在三棱柱
中,点
在棱
上,且
所在的平面将三棱柱
分割成体积相等的两部分,点
在棱
上,且
,点
在直线
上,若
平面
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95632c658b66a87a991378460efe5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d19f5027f53e3e349a0f7a1110f5956.png)
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【推荐2】一个空间几何体的三视图及部分数据如图所示,则这个几何体的体积是( )
![](https://img.xkw.com/dksih/QBM/2017/12/7/1833520643481600/1839563489599488/STEM/b8d35cfbe42848b3b739ae7685520529.png?resizew=167)
![](https://img.xkw.com/dksih/QBM/2017/12/7/1833520643481600/1839563489599488/STEM/b8d35cfbe42848b3b739ae7685520529.png?resizew=167)
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