2023 AMC 8 第 2 题

先试着解答 2023 AMC 8 第 2 题,然后核对你的答案与视频与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2023 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

2.

一张正方形纸如下图所示折叠两次,形成四个相等的部分,然后沿虚线剪开。展开后,纸张会匹配下列哪一个图形?
A square piece of paper is folded twice into four equal quarters, as shown below, then cut along the dashed line. When unfolded, the paper will match which of the following figures?
答案:E
知识点:折纸对称性
小提示:
展开时,把剪痕分别关于每条折线反射
Unfold the cut by reflecting it across each fold line
大提示:
两次折叠都展开后,单条剪痕会出现四次
The single cut appears four times after both folds are undone
视频讲解:
解答视频缩略图
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文字解答:
把剪开后的纸展开,就得到下面的图形。
所以正确答案是 E。
We can unfold the cut up paper to achieve the following figure.
Thus, E is the correct answer.
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