摘要
从初等几何、解析几何、高等几何这三个视角来审视"三心"共线问题的证明,可以发现不同的证法,往往从不同的侧面,相异的渠道反映出条件和结论之间的联系,充分显示知识之间的有机联系和横向贯通。这不但使学生对大学几何有一个整体的认识,而且能提高学生的思维品质和综合能力。
This paper focuses on appreciating the demonstrations about barycenter,circumcenter and orthocenter being in the same line. Different demonstrations with their perspectives and methods reflect the connection between conditions and conclusions,which shows the organic and horizontal connection. It is not only beneficial for students to understand the geometry as a whole but also for improving the students＇ thinking quality and comprehensive abilities.
出处
《黔南民族师范学院学报》
2014年第6期106-108,112,共4页
Journal of Qiannan Normal University for Nationalities
关键词
三心共线问题
多角度
证明
Multi-perspective
appreciation
demonstrations
barycenter
circumcenter and orthocenter being in the same line
