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二次曲线主轴方程的解析法建模研讨
引用本文:宋占奎. 二次曲线主轴方程的解析法建模研讨[J]. 陕西教育学院学报, 2007, 23(1): 98-100
作者姓名:宋占奎
作者单位:湖北十堰职业技术学院,湖北十堰,442000
摘    要:根据既是共轭又互相垂直的直径对有心二次曲线(双曲线椭圆)进行建模研究,建立了有心二次曲线和类似建立了无心二次曲线(抛物线)主轴方程的模型,推证得知,任意无穷远点关于二次曲线的极线都是直径。而且它们都通过中心,有心二次曲线有一对主轴,无心二次曲线仅一个主轴。

关 键 词:主轴  极点  极线  对称轴  调和共轭  共轭直径  无穷远点  无穷远直线
文章编号:1008-598X(2007)01-0098-03
修稿时间:2006-09-162006-12-07

A Discussion on the Main Axis Analysis Method Modeling of the Conic
SONG Zhan-kui. A Discussion on the Main Axis Analysis Method Modeling of the Conic[J]. Journal of Shaanxi Institute of Education, 2007, 23(1): 98-100
Authors:SONG Zhan-kui
Affiliation:Section of Mathematics, Shiyan Vocational Technological College, Shiyan 442000, China
Abstract:This paper to aims-e establish the model of the principal axis of the conic.According to the diameter that is both conjugate and perpendicular we can establish the model of the centered conic.From the research we can conclude that the plume of the infinite point to the conic is diameter,and they all pass the center.Centered conic has a principal axis. noncentral conic has only one principal axis.
Keywords:main axis  limit point  limit line  symmetry axis  harmonic conjugate  conjugate diameter  infinite point  infinite beeline
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