下图显示了一个长方体。 下列哪一个不是该长方体的展开图？

English
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完整解法

7

1. Analyze the properties of the cuboid's faces

The given cuboid consists of 44 identical long rectangular faces and 22 identical square faces at the ends. In any valid net, the 44 rectangular faces must fold to form the lateral surface (a continuous band), and the 22 square faces must form the opposite bases.

2. Evaluate the nets by mental folding

By mentally folding the nets along the edges:

  • Net (1), (2), and (4) can be folded such that the 44 rectangular faces form the lateral tube of the cuboid without overlapping, and the 22 square faces fold to cover the two opposite open ends.
  • Net (3) has a configuration where folding the rectangular faces will cause two of the long rectangular faces to overlap on the same side, leaving one side of the cuboid open and exposed.
答案

Net (3) (option 3)

AI 分析，可能出错

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