04年福建高考理科试题中,有这样一题:如图1,将边长为1的正六边形铁皮的六个角各切去一个全等的四边形,再沿虚线折起,做成一个无盖的正六棱柱容器.当这个正六棱柱容器的底面边长为_____时,其容积最大.分析此题的背景非常熟悉,在课本中不难找到它的影子.原型1“如图2,有一块边长为a的正方形铁皮,将其四个角各截去一个边长为x的小正方形,然后折成一个无盖 In the 2004 Fujian Provincial College Entrance Examination Science Questions, there was a question like this: As shown in Figure 1, six corners of a regular hexagonal iron sheet with a side length of 1 were each cut into a congruent quadrangle, and folded along the dotted line to make a Cover the positive six-prism container. When the bottom side of this regular hexagonal container is _____, its volume is maximum. The background of the analysis is very familiar, and it is not difficult to find its shadow in the textbook. Prototype 1”Figure 2 , There is a square iron sheet with a side of length a, and each of its four corners is truncated to a small square with side x, and then folded into a coverless