基于完全四点形的调和性质构造几何问题的研究  

Research of geometric construction problem by complete quadrangle′s harmonic property

作　　者：卜红彧[1] BU Hongyu(School of Teacher,Eastern Liaoning University,Dandong 118003,China)

机构地区：[1]辽东学院师范学院,辽宁丹东118003

出　　处：《高师理科学刊》2021年第7期5-7,19,共4页Journal of Science of Teachers＇College and University

基　　金：辽宁省科技计划基金项目(W2011162);辽东学院2020年度校级一流本科课程建设项目。

摘　　要：依据高等几何中完全四点形的调和性质,通过改换命题条件的方法,构造几何问题,并运用完全四点形的性质加以证明,从而将原命题加以推广,推导出相关结论.所得结果可为高等几何的应用研究提供必要的数学理论基础.By complete quadrangle′s harmonic property of higher geometry,through changing the conditions of the proposition,the geometric problem is constructed and proved by complete quadrangle′s property,then original proposition is extended and relevant conclusions are deduced.The results can provide the necessary mathematical theory for the application of higher geometry.

关 键 词：完全四点形 调和性 构造 

分 类 号：O185.1[理学—数学]