1985 AMC 8 第 11 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

11.

一张纸由六个连在一起的正方形组成,标记如图所示。沿正方形的边折叠后形成一个立方体。与标有 XX 的面相对的面,其标记是

A piece of paper containing six joined squares labeled as shown is folded along the edges of the squares to form a cube. The label of the face opposite the face labeled XX is

ZZ

UU

VV

WW

YY

答案:E
知识点:展开图(立体几何)正方体
难度评级:920
解答:

把这个展开图折成让 XX 成为底面。那么 UUVVWWZZ 会围成四个侧面。

唯一剩下的正方形 YY 成为顶面,与底面 XX 相对。

所以正确答案是 E

Fold the net so that XX is the bottom face. Then U,U, V,V, W,W, and ZZ wrap around to become the four side faces.

The only remaining square, Y,Y, becomes the top face, which is opposite the bottom face X.X.

Thus, the correct answer is E .

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