2011 AMC 8 第 7 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。
7.
下列四个大的全等正方形分别被分成若干个全等三角形或长方形，并有部分区域被涂阴影。阴影面积占总面积的百分之多少？
Each of the following four large congruent squares is subdivided into combinations of congruent triangles or rectangles and is partially shaded. What percent of the total area is partially shaded?
小提示：
四个阴影部分合起来正好等于一个大正方形
The four shaded pieces combine to exactly one large square.
大提示：
将每个阴影部分表示成一个大正方形面积的分数
Express each shaded part as a fraction of one large square.
解答：
左上和右下的阴影区域各占所在正方形的四分之一。右上占八分之一，左下占八分之三。它们的总面积为
因此阴影区域合起来等于一个正方形的面积，占四个正方形总面积的 。
所以正确答案是 C。
The top left and the bottom right shaded regions are both a quarter of each square. The top right is one-eighth, and the bottom left is three-eighths. Their combined area is
Therefore, the shaded regions combined equal the area of one square, so they are of the total area.
Thus, C is the correct answer.
其他年份的第 7 题
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