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由n个等边正方形组成,且每一个正方形均与其余至少一个正方形有一条公共边的平面图形,我们把它称为接合正方形.在n=6的接合正方形中,有些能够折叠成正方体,大部分则不能.判定由6个接合正方形能否折叠成正方体,不失为考查空间想象能力的典型问题.但这类问题往往同学们回答的正确率不高.因为在由6个接合正方形组成的36种(翻转或旋转能重叠的图形不重复计)平面图形中,只有11种属于正方体的平面展开图.如果仅靠空间想象对于相当
A plane pattern consisting of n equilateral squares, each of which has a common edge with the remaining at least one square, we call it the joining square. In the joining square of n=6, some can be folded into cubes, large Part of it cannot be judged whether the six joined squares can be folded into cubes, which is a typical question for examining spatial imagination ability. However, these questions are often not answered correctly by the students. Because there are 36 types of six joint squares. (Flips or rotations overlap the graph without overlapping) In the plane graph, there are only 11 plane expansions that are cubes.