摘要
将坐标平面上曲线绕坐标轴旋转的旋转曲面方程的方法推广到空间曲线绕坐标轴旋转的旋转曲面,进一步推广到空间曲线绕定直线旋转的旋转曲面,丰富了旋转曲面教学的内容.
As the extension of rotation surface generated by plane curve around coordinate axis,a method of constructing the equation for rotation surface generated by space curve around coordinate axis is obtained in this paper.Furthermore,a method of constructing the equation for rotation surface generated by space curve around line is given.This research enriches teaching contents of rotation surface.
作者
谭畅
曲智林
TAN Chang;QU Zhi-lin(College of Science, Northeast Forestry University, Harbin 150040, China)
出处
《大学数学》
2020年第5期101-105,共5页
College Mathematics
基金
东北林业大学教育教学研究项目(DGY2019-44)
黑龙江省博士后科研启动金资助项目(LBH-Q16010)。
关键词
旋转曲面
旋转轴
母线
方程
rotation surface
rotation axis
generatrix
equation
