线束交比的几何意义和三角形面积比方法

Crisscross Ratio of Straight Line and Bind's Geometric Significance and the Method of the Ratio between Triangle and Its Area

本文通过对线束比和三角形面积比方法较为简洁地证明蝴蝶定理的分析,找出了高等几何与初等几何之间的一种联系,为解决一类几何问题提供了有效的方法。

By analgzing the fact that crisscross ratio of straight cineand bind as well as the method of ratio between triangle and its area can be used to identify briefly the theorem of Butterfly, the essay discovers the certain relationship between higher geometry and elementary geometry so as to suppert an effective way of solving this pair of geometric problems.