高等几何中完全四点(线)形的调和性质应用于初等几何中某些问题的初探

On a primary analysis of the problems in the applications of the harmonicity of the complete quadrangle (line) in Higher Geometry to Elementary Geometry

本文对高等几何中的完全四点 (线 )形的调和性质进行了归纳整理 ,并从初等几何与高等几何之间的本质联系出发 ,主要讨论了高等几何中的完全四点 (线 )形的调和性质应用于初等几何中某些问题的作用 ,以达到化难为易 ,拓广解题思路 ,并进一步获得某些初等几何命题的推广 ,以更加充实和完善初等几何的内容。

The paper aims at giving a summary to the harmonicity of the complete quadrangle (line) in Higher Geometry Based on the essential relationship between Elementary Geometry and Higher Geometry, the article discusses some possible problems in the applications of the harmonicity of the complete quadrangle (line) in Higher Geometry to Elementary Geometry, in the hope that this will improve the mathematics teaching in the high school