二次曲面的保型性探讨  

On Simplification of Type-Preserving Problems of Quadratic Surfaces

作　　者：朱鹏华[1] 

机构地区：[1]山东劳动职业技术学院,山东济南250300

出　　处：《山东科学》2010年第6期20-25,共6页Shandong Science

摘　　要：本文通过研究过定点的二次曲面动弦中点的轨迹方程∑′和定点与二次曲面上动点之间定比分点的轨迹方程∑,″将十七种二次曲面的衍生轨迹∑′和∑″的保型性问题进行讨论,并得到关于二次曲面保型性的两个重要结论.This paper addresses the orbit equation ∑′ passing a fixed point and the midpoint in the secant of a fixed quadratic surface and the orbit equation ∑″ of a point dividing a line segment in a given ratio between a fixed point and a moving point of a quadratic surface.This paper further presents such orbit equations as ∑′ and ∑″ for seventeen quadratic surfaces and derives two important conclusions for type-preserving of quadratic surfaces.

关 键 词：二次曲面 保型性 保型变换 

分 类 号：O182.2[理学—数学]