数学中的关系映射反演方法

关系映射反演方法即 RMI方法 .它是数学中一个极普遍的方法原则 ,无论在初等数学还是在高等数学中都可以找到它的许多应用实例。用 RMI方法可以化难为易 ,化生为熟 ,化繁为简 ,能起到较好的教学效果。从而提高学生抽象分析和应用数学工具的能力 .因此它在数学教学中有着极其重要的意义及作用。该文就 RMI在平面解析几何、解无理方程和不定积分、求积分上限函数与和函数中的意义和作用作一简单的分析。

The Relatlonship Mapping Inversion approach, or RMI for short, is a universal mathematical principle and frequently applied to both elementary and advanced mathematics. In solving problems,RMI makes the difficulty easy, familiarizes with the unfamililiarity and simplifies the complexity, thusbrings about satisfactory results to teaching. Consequently. the students' ability of abstract thinking andpractical command of mathematical means is improved. The approach plays an extremely important rolein teachlng. This paper is a brief analysis of RMl's significance and role in plane analytic geometry, irrational equation, indefinite integrals and definite integrals, and function.