利用渐变技术沟通典型二次曲面之间的联系  

Connecting Typical Quadric Surfaces by Morphing

作　　者：宋伟杰[1] 高鹏翔 刘哲[1] SONG Weijie;GAO Pengxiang;LIU Zhe(School of Mathematics and Statistics,Northwestern Polytechnical University,Xi an 710072,China)

机构地区：[1]西北工业大学数学与统计学院,陕西西安710072

出　　处：《高等数学研究》2021年第4期69-71,44,共4页Studies in College Mathematics

摘　　要：本文利用Mathematica数学软件,通过对二次曲面的标准方程进行“渐变”,实现了几何图形之间的“渐变”,沟通了它们之间的联系,印证了事物普遍联系性的唯物辩证哲学观点.With Mathematica,we create computer animation and morphing the geometric figures to display the connection of the five typical quadric surfaces,which verifies a philosophical viewpoint that all things in the world have connection with each other.

关 键 词：渐变 二次曲面 联系 MATHEMATICA 

分 类 号：O13[理学—数学]