高等几何若干知识点的教育形态  

On the Educational Forms of Some Knowledge Points in Higher Geometry

作　　者：杨俊林[1] 

机构地区：[1]泰州师范高等专科学校,江苏泰州225300

出　　处：《内江师范学院学报》2012年第2期61-66,共6页Journal of Neijiang Normal University

摘　　要：通过对"仿射变换"、"射影平面"、"交比"、"完全四点形"、"Pappus定理"、"二维射影坐标系"、"配极变换"等知识点的初等几何背景追踪及教学法处理,呈现出上述知识点的教育形态.帮助学生内化高等几何的基本观念,提高理解层次,更好地引导学生提高运用高等几何的思想分析处理中学数学问题的能力.Through the background review and pedagogical treatment of some of the knowledge points in higher geometry like ＂affine transformation＂ and ＂projective plane＂ and ＂cross ratio＂ and ＂complete quadrangle ＂ and ＂Pappus theorem＂,＂two dimensional projective coordinate system＂,＂polar shift＂,the educational forms of the above knowledge points are presented,which serves as a means for students to internalize the fundamental concepts,enhance their level of understanding,and thus guide them towards a better application of higher geometry thoughts in the analysing and solving mathematical problems.

关 键 词：高等几何 教育形态 仿射变换 射影变换 交比 

分 类 号：G642[文化科学—高等教育学]