关于Pascal定理的特殊情形的探讨  

On Special Case of Pascal Theorem

作　　者：夏云伟[1] 曾春娜[2] 

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]重庆师范大学数学学院,重庆401331

出　　处：《西南师范大学学报（自然科学版）》2014年第12期196-199,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：中央高校基本科研业务费专项资金资助(XDJK2013C134;SWU113061);国家自然科学基金天元基金资助项目(11326073);重庆市教委基金资助项目(KJ130614)

摘　　要：高等几何是我国师范院校一门重要的基础课程,它加深了本科生对几何空间的理解和初等几何的应用.二次曲线理论是高等几何的重要内容,其中涉及到一个重要的概念——二次曲线的射影定义,如何理解该定义对学生来说是非常困难的.通过Pascal定理的特殊情形的讨论,有利于学生对二次曲线的射影定义的理解和应用.Advanced geometry is an important fundamental curriculum in normal universities and colleges . This subject makes undergraduates have a good comprehension of geometric space and application of ele‐mental geometry .T he theory of quadratic curve is very important content in advanced geometry .T he no‐tion of the projective definition of quadratic curve plays a basic role in the theory .It is difficult for students to grasp the projective definition of quadratic curve .We give some proofs to the special cases of the Pascal theorem by using the projective definition of quadratic curve .These proofs are helpful to the comprehen‐sion and application on quadratic curve .

关 键 词：PASCAL定理 射影对应 透视对应 

分 类 号：G642[文化科学—高等教育学] O185.1[文化科学—教育学]