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平面图形的形心在旋转体体积计算中的应用
引用本文:徐胜荣,包西洋.平面图形的形心在旋转体体积计算中的应用[J].数学学习,2020(2):22-24.
作者姓名:徐胜荣  包西洋
作者单位:山东农业大学信息科学与工程学院
摘    要:本文讨论平面图形绕平面内的直线旋转的旋转体体积与被旋转的平面图形的形心的关系.当被旋转的平面图形的内部与旋转轴没有交点时,得到了用被旋转的平面图形的面积以及被旋转的平面图形的形心到旋转轴的距离表示的旋转体体积公式.

关 键 词:形心  旋转体  旋转轴  体积

On Center of Plane Figure and Volume of Solid of Revolution
XU Shengrong,BAO Xiyang.On Center of Plane Figure and Volume of Solid of Revolution[J].Studies In College Mathematics,2020(2):22-24.
Authors:XU Shengrong  BAO Xiyang
Institution:(College of Information Sciences and Engineering, Shandong Agricultural University, Taian 271018, China)
Abstract:Consider the solid of revolution obtained by rotating a plane figure about an axis in the plane.If the axis does not intersect the interior of the plane figure,then the volume of the solid of revolution can be obtained by the area of the plane figure and the distance from the center of the plane figure to the axis.
Keywords:center of a shape  rotation  solid of revolution  volume
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