BACHELOR’STHESIS摘要本文对三角形五心的性质，特征以及其在几何中的应用等与三角形五心有关的重要内容进行了研究。三角形五心是新颁发的初中数学大纲特别加强的内容。与之相关的几何问题通常涉及的知识面广，难度大，要求的技巧性强，故三角形五心问题考察学生逻辑思维能力的较佳题型，近年来，已成为开学考试以及数学竟赛中的热点。关键词：三角形的五心，角平分线，高线，中线等目录摘要................................................................................................................................1引言................................................................................................................................21.外心............................................................................................................................21.1定义........................................................................................................................................21.2重要性质................................................................................................................................21.3隐含特征................................................................................................................................22.内心............................................................................................................................42.1定义........................................................................................................................................42.2重要性质................................................................................................................................42.3隐含特征................................................................................................................................43.重心............................................................................................................................63.1定义........................................................................................................................................63.2重要性质................................................................................................................................63.3隐含特征................................................................................................................................64.垂心............................................................................................................................74.1定义.......................................................................................................................................74.2重要性质...............................................................................................................................74.3隐含特征...............................................................................................................................75.旁心............................................................................................................................95.1定义........................................................................................................................................95.2重要性质................................................................................................................................95.3隐含特征.................................................................
