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数学概念是对大量数学现象的高度抽象和概括,是数学思维的基本单位,是推导数学定理和公式的逻辑基础.数学概念的理解和运用是数学学习最重要的内容,很多重要的数学解题方法就蕴含在数学概念之中.同学们一定都有遇到问题无法可想或有思路却做不下去的经历,张景中院士提出“从概念里产生方法”给我们提供了一项寻找解决问题的法宝.到底如何从概念里寻找方法?请看以下例题:
Mathematical concept is a high degree of abstraction and generalization of a large number of mathematical phenomena, is the basic unit of mathematical thinking, is the logical basis for the derivation of mathematical theorems and formulas.Mathematical concepts understanding and application is the most important content of mathematical learning, many important mathematical problems Methods are implicit in mathematical concepts.Many students must have encountered problems can not be thought or ideas can not go through the experience, Academician Zhang Jingzhong proposed “to produce methods from the concept of” provides us with a search for solutions How to find a solution from the concept? See the following example: