平面图形的形心在旋转体体积计算中的应用  

On Center of Plane Figure and Volume of Solid of Revolution

作　　者：徐胜荣[1] 包西洋 XU Shengrong;BAO Xiyang(College of Information Sciences and Engineering, Shandong Agricultural University, Taian 271018, China)

机构地区：[1]山东农业大学信息科学与工程学院,山东泰安271018

出　　处：《高等数学研究》2020年第2期22-24,共3页Studies in College Mathematics

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.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.

关 键 词：形心 旋转体 旋转轴 体积 

分 类 号：O171[理学—数学]