推广是数学研究不可或缺的基本方法,是数学发现的重要工具.数学理论中,许多核心概念是通过推广现有概念而建立的,许多重要定理、公式也是通过对已知结果或命题的推广而发现的.因此,了解进而掌握推广的基本模式、培养推广意识,对促进数学发现、培养学生的创新思维能力具有重要意义. Promotion is an indispensable basic method for mathematics research and an important tool for mathematical discovery. Many of the core concepts in mathematics theory are established through the promotion of existing concepts. Many important theorems and formulas are also promoted through known results or propositions. Therefore, understanding and then mastering the basic mode of promotion and cultivating awareness of promotion are of great significance in promoting mathematical discovery and cultivating students’ innovative thinking ability.