立体图形的展开图

识别、绘制并解读常见立体图形的展开图，包括正方体、长方体、三棱柱和底面为正方形的四棱锥；能够通过预测一个平面展开图折叠后会得到哪种立体图形，判断该展开图能否完整围成立体图形，并根据描述或立体模型画出展开图；理解立体图形的面数与展开图结构之间的关系。

Identify, draw, and interpret nets of common 3-D shapes — cubes, cuboids, triangular prisms, and square-based pyramids — by predicting which 3-D shape a given flat arrangement of faces will fold into, checking whether a net will close completely, and sketching a net from a description or 3-D model; understand the relationship between the number of faces and the structure of the net

学习证据 / Evidence

• 画出正方体、长方体或三棱柱的展开图，并在脑中折叠，判断哪些面会相连。
• 根据展开图搭成立体图形，并检查所有面、棱和顶点是否对应。
• 从若干给定的展开图中找出能折成指定立体图形的那一个，并解释为什么其他展开图不能折成该立体图形。

• Draw the net of a cube, cuboid, or triangular prism and fold it mentally to identify which faces connect
• Build a 3-D shape from its net and check that all faces, edges, and vertices match
• Identify which of several given nets will fold into a specific 3-D shape and explain why the others won't

评估问题 / Assessment

如果{{name}}拿到一张由六个正方形组成的T字形平面卡纸，{{name}}能否在折叠之前说出它能折成一个正方体，并指出每个正方形分别会成为正方体的哪个面？

If {{name}} is given a flat T-shaped piece of card with six squares, can they tell you — before folding — that it makes a cube, and point out which square will become each face?