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构造法是一种重要而灵活的思维方式,更是培养学生创新思维的有效途径.解题中的构造法是指根据题目条件的结构特征,通过直觉观察、联想及猜想等思维活动,想象到各种知识间的内在联系或形式上的某种相似性,有目的地构造特定的数学模型,从而把原命题转化为与之等价的命题,通过对它的讨论而使原命题得到解决.本文主要针对中学数学解题中的这一常用方法进行了论述.同时,结合具体实例对构造法中常见的几种类型:构造方程、构造函数、构造向量、构造数列、构造几何图形给予了较详尽的论述.
Construction method is an important and flexible way of thinking, but also an effective way to train students’ innovative thinking.The constructive method in solving problems is based on the structural characteristics of the topic conditions, through intuitionistic observation, association and conjecture and other thinking activities, The inherent connection or formal similarity between various kinds of knowledge, purposely construct a specific mathematical model, so that the original proposition into equivalent proposition, through its discussion and make the original proposition be resolved. This paper mainly discusses the common method in middle school mathematics problem solving.At the same time, combined with concrete examples of several common types of constructions: construction equations, constructors, constructors, construct sequences, Exhaustive discussion.