“问题转化”解题策略探析

Analysis of"Problem Transformation"Strategy

掌握数学意味着解题,而解题意味着转化。问题转化是高等数学中一种十分重要的解题策略和思想方法。本文把常见转化方式归纳为四种:形式转化——特殊与一般之间转化;内容转化——本末之间转化;数量转化——有限与无限之间的转化;结构转化——位置之间的相互转化。

Mastering mathematics means problem solution, which is actually transformation. Problem transformation is an important problem solution strategy and ideology in advanced mathematics. In this article, transformation is summarized as four types, namely, formal transformation - between particularity and generality; content transformation - between beginning and end; quantitative transformation - between finity and infinity and structural transformation - mutual transformation between positions.