今年第八届“华罗庚金杯赛”初赛试卷中的压轴题是:将边长为1的正方形二等分,再将其中的一半二等分,这样继续下去(如图1).展开想象的翅膀,从这个过程中你能得到什么? 这是一道在教科书中没有见过的趣题,值得深思. 首先觉得图形等分下去会越来越小,并且是正方形与长方形交替地 The finale title in the 8th “Hua Luogen Gold Cup” preliminary examination paper this year is: Divide a square with a side length of 1 into 2 and divide it into half equal parts. This will continue (Figure 1). Expand the wings of imagination. What can you get from this process? This is an interesting question that has not been seen in textbooks. It is worth pondering. First of all, it is thought that the graphic division will be smaller and smaller, and it will alternate between the square and the rectangle.