2004 AMC 8 第 15 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。
15.
十三块阴影六边形瓷砖和六块未阴影六边形瓷砖组成下图。如果用与其他瓷砖大小和形状相同的未阴影瓷砖加上一圈边框形成新图形，新图形中未阴影瓷砖总数与阴影瓷砖总数之差是多少？
Thirteen shaded and six unshaded hexagonal tiles were used to create the figure below. If a new figure is created by attaching a border of unshaded tiles with the same size and shape as the others, what will be the difference between the total number of unshaded tiles and the total number of shaded tiles in the new figure?
小提示：
原图有一个中心瓷砖、一圈 块和一圈 块
The original figure has one center tile, a ring of and a ring of
大提示：
下一圈六边形边框有 块瓷砖
The next hexagonal border has tiles.
解答：
原图有 块阴影瓷砖和 块未阴影瓷砖。
新边框是围绕图形的下一圈六边形环，有 块未阴影瓷砖。
新图形有 块未阴影瓷砖和 块阴影瓷砖，所以差为 。
所以正确答案是 C。
The original figure has shaded tiles and unshaded tiles.
The new border is the next hexagonal ring around the figure, which has unshaded tiles.
The new figure has unshaded tiles and shaded tiles, so the difference is
Thus, C is the correct answer.
其他年份的第 15 题
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