小议质心模型在初等几何的应用

Applications About The Model of Mass Centre In Elementary Geometry

阐述利用质心模型知识在初等几何学中的若干应用．如：证明共点线及共线点问题，求比值，证线段相等成倍分关系，证比例式，证平行，证定值．求面积或面积比等。应用质心模型关键在于赋点以质量或质量分解．或质心的调整。

Abstract:In this paper, by using the knoulge of mass centre's model we expound some applications about elementary geometry. such as proving points on the line. lines passing a point. parellel, proportion expression, determinate value. line segment equation or calcuting area. ejt, it give great convenience on calcution and proof. The application of mass centre's model key to place mass on point, divid mass or in just mass centre.