AMC 8 2026 Problem 13

AMC8 2026 年第 13

坐标几何★★★☆☆
The figure below shows a tiling of 1×1 unit squares. Each row of unit squares is shifted horizontally by half a unit relative to the row above it. A shaded square is drawn on top of the tiling. Each vertex of the shaded square is a vertex of one of the unit squares. In square units, what is the area of the shaded square?
下图展示了一种由 1×1 单位正方形组成的铺砖图案。每一行相对于上一行水平偏移半个单位。图中还有一个覆盖在铺砖上的阴影正方形,其每个顶点都是某个单位正方形的顶点。这个阴影正方形的面积是多少(单位:平方单位)?
AMC 8 2026 Problem 13 figure
  1. A.10
  2. B.212\displaystyle \frac{21}{2}
  3. C.323\displaystyle \frac{32}{3}
  4. D.11
  5. E.343\displaystyle \frac{34}{3}

正确答案 · Correct Answer

A

解析 · Solution

解析整理中

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