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近几年全国各地中考试题中经常出现与自然数n有关的一类图形规律探索问题,这类问题的解法比较灵活,对于一些复杂的图形规律探索问题确实不容易解决.通过函数知识的学习,学生已经知道了一次函数或二次函数的三种表达方式,即列表法、图像法、解析法,并且这三种表达方式之间可以相互转化,可以根据任意一种表达方式来判断出这个函数是一次函数还是二次函数.本文从函数观点出发,引导学生从函数的性质入手,利用一次函数或二次函数的性质解决这类规律探究类问题.
In recent years, the middle school exam questions all over the country often appear to explore a type of graphic law related to the natural number n, and the solution to these problems is quite flexible, so it is really not easy to solve some complex graphic law probing problems.According to the study of functional knowledge, Have known three functions of a function or quadratic function, ie, list method, image method, analytic method, and these three kinds of expressions can be transformed into each other, and it can be judged by any one expression that this function is A function or a quadratic function.This article from the function point of view, to guide students to start with the nature of the function, the use of the nature of a linear function or quadratic function to solve this type of law to explore the problem.