非退化二阶曲线内接完全四点形的性质  

Charactoristic of complete quadrangle inscribed in second order curve

作　　者：黄振华[1] 周建新[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《湖北师范学院学报（自然科学版）》2014年第4期49-52,共4页Journal of Hubei Normal University(Natural Science)

摘　　要：一个完全四点形的边上和完全四点形的对边三点形的边上都存在调和共轭点,讨论了当完全四点形内接于一条非退化的二阶曲线时,它的对边三点形的边上则有多组调和共轭点,从而存在对合点组,并且以它的顶点为切点的切线上也存在调和共轭点。There are harmonic conjugate points on the edge of a complete quadrangle and its diagonal triangle. In this paper, we discussed about the circumstance when the complete quadrangle inscribed in a nondegenerate second order curve, there were multigroup harmonic conjugate points on the edge of its diagonal triangle. There are involution point groups and some har- monic conjugate points on tangent lines with the complete quadrangleg vertices as tangeney point.

关 键 词：完全四点形 二阶曲线 切线 调和共轭 对合对应 

分 类 号：O185.1[理学—数学]