探究共点共线的射影几何学方法  

The Projection Geometry Method to Probe in Concurrence and Collineation

作　　者：宋占奎[1] 於全收[1] 燕嬿[1] 胡杰军[1] 

机构地区：[1]湖北十堰职业技术学院数学教研室,湖北十堰442000

出　　处：《杨凌职业技术学院学报》2008年第1期55-56,73,共3页Journal of Yangling Vocational & Technical College

摘　　要：由完全四点形、调和点列或调和线束的定义,Desargues命题、Desargues逆命题或调和共轭定理,解决了三线共点、四线共点,三点共线、四点共线、五点共线或六点共线的问题.同时还应用上述定义、命题或定理解决了求定点问题、轨迹问题及作图问题。According to definitions of the complete quadrangle, the harmonic point range and the harmonic line pencil, the proposition of Desargues, the converse proposition of Desargues and the proposition of harmonic conjugates can solve the problems of 3-line concurrence, 4-line concurrence, 3-point collineation, 4- point collineation , 5-point collineation, and 6-point collineation. At the same time , by use of the above-mentioned definitions, propositions and theorems, the problems of seeking fixed points, lotuses and plotting can also be solved.

关 键 词：共点 共线 无穷远点 无穷远直线 调和共轭 完全四点形 

分 类 号：O185.1[理学—数学]