2003 AMC 8 第 8 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。
8.
第 ， 和 题使用随附段落和图形中的数据。
烘焙义卖
四个朋友 Art、Roger、Paul 和 Trisha 烤饼干，所有饼干厚度相同。饼干的形状如下所示。
• Art 的饼干是梯形：
• Roger 的饼干是长方形：
• Paul 的饼干是平行四边形：
• Trisha 的饼干是三角形：
每个朋友使用相同数量的面团，且 Art 正好做了 块饼干。
谁用一批饼干面团做出的饼干数量最少？
Problems and use the data found in the accompanying paragraph and figures.
Bake Sale
Four friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown.
• Art’s cookies are trapezoids:
• Roger’s cookies are rectangles:
• Paul’s cookies are parallelograms:
• Trisha’s cookies are triangles:
Each friend uses the same amount of dough, and Art makes exactly cookies.
Who gets the fewest cookies from one batch of cookie dough?
Art
Paul
Roger
Trisha
最少数量出现并列
There is a tie for fewest.
小提示：
面团量和厚度相同，饼干面积越大，数量越少
Same dough and thickness means larger cookie area gives fewer cookies.
大提示：
比较四种饼干形状的面积
Compare the areas of the four cookie shapes.
解答：
因为所有饼干厚度相同且使用相同数量的面团，所以面积最大的饼干形状会产生最少的饼干。
Art 的梯形面积为 。Roger 的长方形面积为 。Paul 的平行四边形面积为 ，Trisha 的三角形面积为 。
Art 的饼干面积最大，所以 Art 用一批面团得到的饼干最少。
所以正确答案是 A。
Since the cookies all have the same thickness and use the same amount of dough, the largest cookie shape produces the fewest cookies.
Art’s trapezoid has area Roger’s rectangle has area Paul’s parallelogram has area and Trisha’s triangle has area
Art has the largest cookie area, so Art gets the fewest cookies from one batch.
Thus, A is the correct answer.
其他年份的第 8 题
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2004 AMC 8
- 2005 AMC 8
- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
- 2009 AMC 8
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