2024 AMC 8 第 3 题
先试着解答 2024 AMC 8 第 3 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 2024 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。
3.
四个边长分别为 、、 和 个单位的正方形按从小到大的顺序排列，使它们的左边和底边对齐。正方形交替阴影和非阴影，如图所示。可见阴影区域的面积是多少平方单位？
Four squares of side length and units are arranged in increasing size order so that their left edges and bottom edges align. The squares alternate shaded and unshaded, as shown in the figure. What is the area of the visible shaded region in square units?
小提示：
用嵌套正方形的阴影和非阴影面积相减
Use shaded and unshaded nested square areas
大提示：
可见阴影面积是
The visible shaded area is
视频讲解：
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文字解答：
可见阴影部分由 乘 的正方形中位于 乘 的正方形之外的部分，以及 乘 的正方形中位于 乘 的正方形之外的部分组成：
所以正确答案是 E。
The visible shaded region is the part inside the by square but outside the by square, together with the part inside the by square but outside the by square. Its area is
Thus, E is the correct answer.
其他年份的第 3 题
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