基于化归思维的高等数学问题求解策略及应用研究

Research on Strategies and Applications for Solving Higher Mathematics Problems Based on Reduction Thinking

摘要: 化归思维是解决自然科学尤其是数学问题常采用的方法，它能够把复杂、陌生的问题转化为简单、熟悉的问题，有助于知识的迁移，提高解决问题的效率，本文以高等数学中常见问题的求解为例，介绍常用的形式统一法和换元法实现问题转化的化归思维。

Abstract: Reduction thinking is a commonly used method for solving natural science, especially mathematical problems. It can transform complex and unfamiliar problems into simple and familiar ones, which helps to transfer knowledge and improve problem-solving efficiency. This article takes the solution of common problems in higher mathematics as an example to introduce the commonly used formal unification method and substitution method to achieve problem transformation of reduction thinking.