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2004年福建高考理工类试题第(16)题是这样一道题:如图1,将边长为1的正六边形的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.我们在此给出下面的解法.解如图1,正六边形的边长AB=1,设要截掉的四边形的边长AE=x,CE=y且要折成的正六棱柱的底面边长为b.
In 2004, the title (16) of the Fujian College Entrance Examination for Science and Engineering was titled as follows: As shown in Figure 1, six corners of a regular hexagon with a side length of 1 were each cut into a congruent quadrilateral, and then folded along the dotted line. , Make a regular six-prism container. When the length of the bottom side of this regular hexagonal prism container is ____, its volume is the largest. Here we give the following solution. The solution is shown in Figure 1. The side length of the regular hexagon is AB=1 , set the edge length of the quadrilateral to be truncated AE = x, CE = y and the length of the bottom face of the positive hexagonal prism to be folded is b.