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线段不等关系的证明往往很难入手,若同学们能灵活运用几何变换进行转化,将分散化为集中,使隐含化为显现,则证明可化难为易,现举几例供同学们参考.1.巧用平移变换平移变换是把某个图形沿着一定方向从一个位置移动到另一个位置的图形位置变换方法.通过平移变换可以将条件和结论中某些分散的元素相对集
It is often difficult to prove the unequal relationship of line segments. If students can flexibly use geometric transformations to transform, they will be decentralized into concentration, and the implicitization will be manifested. This proves that it is difficult to change, and several examples are provided for students’ reference. 1.1. Using Translation Transformations The translation transformation is a method of transforming the position of a figure from one position to another along a certain direction. The relative set of some scattered elements in the conditions and conclusions can be set by the translation transformation.