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旋转体的体积与旋转面的面积
引用本文:吴振林.旋转体的体积与旋转面的面积[J].潍坊教育学院学报,2005,18(2):34-35.
作者姓名:吴振林
作者单位:潍坊教育学院教务处,山东,青州,262500
摘    要:本文借助中学物理的静力矩和重心概念,以及几何中的相关知识,引入计算旋转曲面面积、旋转体体积的两个“初等”公式,使计算简单化、代数化,同时加深学生对积分思想以及微元法的理解,提高解决积分应用问题的能力和兴趣.

关 键 词:旋转面  旋转体  静力矩  重心
文章编号:1009-2080(2005)02-0034-02
收稿时间:2005-06-30
修稿时间:2005-06-30

On the Volume of the Circling Body and the Area of the Circling Surface
Wu Zhenlin.On the Volume of the Circling Body and the Area of the Circling Surface[J].Journal of Weifang Educational College,2005,18(2):34-35.
Authors:Wu Zhenlin
Abstract:This paper, with the help of the concepts of whisht moment and barycenter in middle school physics, and the related knowledge in geometry, simplifies calculating by introducing the two "elementary formulas" of the volume of the circling body and the area of the circling surface, and thus improves the students' understanding of integral, and stimulates students' interest and ability of the integral application.
Keywords:circling surface  circling body  whisht moment  barycenter
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