有心二阶曲线垂直切线交点轨迹为圆的证明  

Intentional Second Order Curve Perpendicular Tangents of the Track Intersection Proof

作　　者：张学茂[1] 王宝平[1] 

机构地区：[1]泰州师范高等专科学校,江苏泰州225300

出　　处：《廊坊师范学院学报（自然科学版）》2012年第4期14-16,共3页Journal of Langfang Normal University(Natural Science Edition)

摘　　要：借助解析几何计算、二阶曲线的射影与度量性质、Pascal线等知识探求命题"有心二阶曲线的相互垂直切线的交点的轨迹是圆"的五种证明方法,对于开阔学术视野,训练多角度思维有很大的启发性。其中,利用Pascal线证明的方法较为罕见,尤其值得关注。This paper makes use of the analytic geometry calculation, second order curve of projective and measurement properties, Pascal line to search out knowledge proposition ＂intentional second order curve of the intersection of the perpendicular tangents of the track is circle＂ five kind of proof method. Especially the use of the method of proof line Pascal is relatively rare!

关 键 词：二阶曲线 射影 Pascal线 

分 类 号：O185[理学—数学]