规律探索问题一般包括数字规律、运算规律、图形规律、坐标系内点(图形)的变换等,解这类问题要从已知条件出发归纳出一般表达式,再求指定的特殊值,本文就这类问题利用函数的思想作一些探讨。对于一组规律数,首先确定位置与对应数的函数关系(一次函数、二次函数、指数函数或其他关系),再利用求函数解析式的方法解决问题。 The problem of law exploration generally includes the rule of numbers, the law of operation, the law of figures and the transformation of the points (figures) in the coordinate system. To solve such problems, general expressions should be deduced from the known conditions and then the specified special values ​​should be obtained This kind of problem makes use of the thought of function to make some discussions. For a set of regular numbers, first determine the function of the position and the corresponding number (a function, quadratic function, exponential function or other relations), and then use the analytical method to solve the problem.