借助合同变换巧解初等几何问题

Solving Elementary Geometry Problems with the Help of Contract Transformation

合同变换亦称全等变换或者正交变换,是欧氏几何中的一种重要变换。合同变换是一个平面到自身的变换,保持任意两点间的距离不变。文章主要介绍平移、旋转、轴反射三种合同变换的定义、性质,并对利用合同变换求解初等几何问题做简洁、有效的整合。

Contract transformation,also called congruent transformation or orthogonal transformation,is an important transformation in euclidean geometry.Contract transformation is a plane-to-itself transformation,keeping the distance between any two points unchanged.This paper mainly discusses invariance and invariance under translation,rotation and axis reflection transformation,and makes a simple and effective integration for solving elementary geometry problems by using contract transformation.