根据给出的一组图形序列的规律,指出或画出这组图形的后继图形是数学习题中,被称之为“找规律”的一类常见问题.乃至到了高中阶段学习“数列”时.教材和习题册中,仍有根据昕给图形序列的规律,写出相应的点数所组成的数列的练习题.最近,我们在教学中提出了下面这样一个探究性问题:“在所给的n×n正方形点阵中,尽可能多地构造不同的图形序列,同时,写出相应的点数所组成的数列,并探究这些数列的规律.”收到了较好的教学效果. 这个问题,一方面与常见的“找规律”的问 According to the rules of a given set of graph sequences, pointing out or drawing the subsequent graphs of this group of graphs is a common problem in the number of learning problems, which is called “finding the law”, and even learning “series” in the high school stage. In the textbooks and exercise books, there are still a series of exercise questions that are based on the rules of the graphics sequence, which are composed of the corresponding points. Recently, we have proposed the following inquiry question in our teaching: In the n×n square lattice, construct as many different graphic sequences as possible. At the same time, write out the corresponding numbers of the points, and explore the laws of these numbers.” A good teaching effect has been received. This question, On the one hand and the common “seeking law”