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 、、、、 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 形。另外两块是什么？
A tetromino consists of four squares connected along their edges. There are five possible tetromino shapes, , , , , and , 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 tile. What are the other two tiles?
和
and
和
and
和
and
和
and
和
and
小提示：
先尝试放置 形，使剩余区域容易分开
Try placing the tile so the leftover region separates cleanly
大提示：
放下一块 后，检查剩余部分可由哪一对拼块覆盖
After one tile is placed, check which pair can tile the rest
视频讲解：
Click to load, then click again to play
文字解答：
稍加尝试可以想到，把 形四格骨牌放在不会挡住太多地方的位置，例如这样：
剩余区域正好可以分成两个 形四格骨牌，所以正确答案是 C。
A little trial-and-error suggests placing the 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 tetrominoes, and so the answer is C.
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