在解探索规律的题目时,有时我们需把给出的图形通过分割找出规律,如果分割的方法不一样,那么解题的思路也会不同.下面我们就从课本中的一道探索规律题说起.人教版七年级上册数学教科书第71页第10题:如图1所示,由一些点组成形如三角形的图形,每条“边”(包括两个顶点)有n(n>1)个点,每个图形总的点数S是多少?当n= In the solution to the problem of exploring the law, sometimes we need to figure out the rules given by segmentation, if the method of segmentation is not the same, then the problem-solving ideas will be different .From the text we explore a law As shown in Figure 1, by the formation of some points, such as triangular graphics, each “edge ” (including the two vertices) with n (n > 1) points, the total number of points per graph S is what? When n =