2002 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.
下列哪个多边形面积最大？
Which of the following polygons has the largest area?
小提示：
把每个多边形分成单位正方形和半单位三角形。
Break each polygon into unit squares and half-unit triangles.
大提示：
通过数整方格和半方格来比较五个面积。
Compare the five areas by counting full squares plus half-squares.
解答：
每个多边形包含的方格数可通过把多边形分成单位正方形和边长为 的直角三角形，再相加得到。
单位正方形面积算作 ，三角形面积算作 。
的总面积为 ， 为 ， 为 ， 为 ， 为 。
所以正确答案是 E。
The number of boxes enclosed by each polygon can be obtained by dividing the polygon into unit squares and right triangles with sidelength and adding up their values.
The unit squares count as and the triangles count as
has a total area of has has has and has
Thus, E is the correct answer.
其他年份的第 15 题
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