AMC 8 2007 Problem 11

AMC8 2007 年第 11 题

统计与数据图表★★★☆☆

Tiles $I, II, III$ and

IV

are translated so one tile coincides with each of the rectangles A, B, C and

D

. In the final arrangement, the two numbers on any side common to two adjacent tiles must be the same. Which of the tiles is translated to Rectangle

C

瓷砖 I，II，III 和 IV 被平移至与长方形 A，B，C，D 重合。排列完毕后，要求两块相邻的瓷砖的公共边上的数必须相等。那么哪块瓷砖平移到了长方形 C 上？

正确答案 · Correct Answer

解析 · Solution

Solution 1

We first notice that tile III has a 0 on the bottom and a 5 on the right side. Since no other tile has a 0 or a 5, Tile III must be in rectangle

D

. Tile III also has a 1 on the left, so Tile IV must be in Rectangle

C

. The answer is

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