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本文以初中数学竞赛中的解方程问题为例,介绍利用“熟悉化原则”将一些特殊方程,化为初中生所熟知的方程(组)解题的技巧.本文的例题皆选自近年各级各类数学竞赛. 1.利用非负性 对某些可化为完全平方式的和为零的形式的方程,可利用“完全平方式的非负性”
This paper takes the problem of solving equations in the junior high school math competition as an example to introduce the use of “familiarization principle” to turn some special equations into the skills of problem solving that are familiar to junior high school students. The examples in this article are all selected from various levels in recent years. Various types of mathematical competitions. 1. The use of non-negativity for certain equations that can be converted into a completely flat and zero form can use the “completely flat nonnegative” equation.