将一个没有盖子的正方体纸盒,沿着正方体的棱将纸盒剪成展开图,共有多少种不同的展开图?(展开后如果形状相同视为一种情况)因为无盖的正方体纸盒共有5个面,不会出现5个面排成一行的情况,也不会出现4个正方形围成的“田”字,因此,无盖正方体的展开图可以分成三类,共8种。第一种,简称“4+1”型,如下图。这一类展开图最多的一排是由 How many different unfolding plans do you have of a cube without a lid (along the shape of the cube after unfolding) because the lidless cube has a 5 faces, there will not be 5 lines in a row, and there will not be 4 squares enclosed by “Tian” characters. Therefore, the unfolded figure of the cubeless cube can be divided into three categories, a total of 8 kinds. The first, referred to as “4 +1” type, as shown below. This type of expansion diagram is the largest row is