例谈构造法在初等数学解题中的应用

Applications of Construction Method in Solving Elementary Mathematics Problems with Examples

构造法是数学研究中不可或缺的重要工具之一。对于构造法在初等数学解题中的应用,本文从以下三个方面进行论述:首先介绍构造法的概念;其次,举例说明构造法在初等数学中的应用,包括构造辅助函数法、辅助方程法、辅助图形法以及构造辅助模型法;最后总结了构造法在初等数学解题中的重要性。

Construction method is one of the indispensable and important tools in mathematical research. In this article, we discuss the applications of construction method in solving elementary mathematical problems in the following three aspects: Firstly, we introduce the concept of construction method. Secondly, to illustrate the applications of construction method in elementary mathematics, we provide some examples, including auxiliary function construction, auxiliary equation construction, auxiliary graph construction and auxiliary model construction. Finally, we summarize the importance of construction method in solving elementary mathematical problems.