基于Maple的曲面在一点临近结构的三维可视化教学  

The teaching in three-dimensional visualization of the structure of the surface near a point based on the Maple procedures

作　　者：罗日才[1] 

机构地区：[1]河池学院数学系,广西宜州546300

出　　处：《高师理科学刊》2010年第1期85-87,共3页Journal of Science of Teachers＇College and University

基　　金：广西新世纪教改工程"十一五"第3批资助项目(桂高教2007(109号文件)61);河池学院<应用数学>重点学科(院科研[2007]2)

摘　　要：曲面在一点临近的结构是微分几何研究的一项重点内容,该部分图形结构较为复杂,教学难度比较大,通过编写Maple程序,设定不同的参数,绘制曲面在椭圆点、双曲点、抛物点、平点等4种类型的点的临近结构,实现三维可视化教学,使得学生能够在"三维世界"中理解微分几何,有利于提高学生的认知能力.The local structure at a point on a curved surface is an important topic in differential geometry, yet, the complexity in its graphical structure poses great challenge in teaching. Through the preparation of Maple procedures, seting different parameters, mapping the structure of surface near the elliptic point, the point hyperbolic, the parabolic point and the flat point, we can achieve three-dimensional visualization of teaching. The students can make understanding of differential geometric in the three-dimensional world, this is conducive to improve the cognitive abilities of students.

关 键 词：MAPLE 曲面 临近结构 可视化 

分 类 号：O186.11[理学—数学] G642.41[理学—基础数学]