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函数概念是数学概念中最重要的概念之一,原始的函数概念几乎与数学自身同时产生、发展。研究一下函数概念不断被提炼、发展、深化的过程,不仅可以提高我们对函数概念来龙去脉的清晰认识,更有助于我们领悟数学概念对数学发展,数学学习的巨大作用。本文拟通过对函数概念的发展与比较,对函数概念的定义方法进行一些探究。
Function concept is one of the most important concepts in mathematical concepts. The concept of original function is almost simultaneously generated and developed with mathematics itself. Studying the continuous refinement, development and deepening of function concepts can not only enhance our clear understanding of the context of function concepts, but also help us understand the tremendous role of mathematical concepts in mathematical development and mathematical learning. This article intends to explore the definition of function concept through the development and comparison of function concepts.