一类椭变曲线  

A Kind of Elliptic Transform Curves

作　　者：李湘江[1] 李爱玲 

机构地区：[1]长沙理工大学工程教育学院,湖南 长沙 [2]航天工程大学士官学校,北京

出　　处：《应用数学进展》2023年第11期4679-4685,共7页Advances in Applied Mathematics

摘　　要：对圆按一定方向一定比例做压缩或拉伸变换可以得到椭圆。本文提出一类参数方程,通过绘图实验和分析,发现是一种对椭圆进行压拉变换,可得到卵圆和心形线,并获得了这类曲线的面积、质心坐标、转动惯量、旋转卵形体的体积等重要公式。The ellipse can also be regarded as a figure obtained by compressing or stretching a circle in a cer-tain direction in a certain proportion. In this paper, a kind of parametric equation is presented. Through drawing experiment and analysis, it is a transformation of compression and stretching of ellipse to obtain oval and cardioid. The important formulas of the area, centroid coordinate, mo-ment of inertia and volume of rotating oval ball are calculated.

关 键 词：H变换 椭变曲线 卵圆 心脏线 

分 类 号：G63[文化科学—教育学]