2025 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.
一个四格骨牌由四个沿边相连的正方形组成。可能的五种形状 I、O、L、T、S 如下图所示，可以旋转或翻转。用三个四格骨牌完全覆盖一个 矩形。至少有一块是 S 形。另外两块是什么？
A tetromino consists of four squares connected along their edges. There are five possible tetromino shapes, I, O, L, T, and S, shown below, which can be rotated or flipped over. Three tetrominoes are used to completely cover a rectangle. At least one of the tiles is an S tile. What are the other two tiles?
I 和 L
I and L
I 和 T
I and T
L 和 L
L and L
L 和 S
L and S
O 和 T
O and T
答案：C
视频讲解：
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文字解答：
可以把 S 形按下图放置：
剩余区域正好可以分成两个 L 形四格骨牌，所以另外两块是 L 和 L。正确答案是 C。
A little trial-and-error suggests placing the S tetromino in a way that does not block too much, like this:
It is then easy to see that the remainder can be partitioned into two L tetrominoes, and so the answer is C.
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