1998 AMC 8 第 13 题
先试着解答 1998 AMC 8 第 13 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1998 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
13.
阴影正方形的面积与大正方形面积之比是多少？（图按比例绘制。）
What is the ratio of the area of the shaded square to the area of the large square? (The figure is drawn to scale.)
小提示：
把大正方形中的网格线延长
Extend the grid lines in the large square.
大提示：
阴影正方形由四个半单位正方形组成。
The shaded square is made from four half-unit squares.
解答：
如图，把原图延伸成一个 乘 的网格：
大正方形由 个单位正方形组成。阴影正方形由四个半单位正方形组成，所以其面积为 。因此所求比值为 。
所以正确答案是 C。
Extend the figure to a by grid as shown:
The large square consists of unit squares. The shaded square is made from four half-unit squares, so its area is Therefore, the required ratio is
Thus, the correct answer is C .
其他年份的第 13 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
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
- 2005 AMC 8
- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
- 2009 AMC 8
- 2010 AMC 8
- 2011 AMC 8
- 2012 AMC 8
- 2013 AMC 8
- 2014 AMC 8
- 2015 AMC 8
- 2016 AMC 8
- 2017 AMC 8
- 2018 AMC 8
- 2019 AMC 8
- 2020 AMC 8
- 2022 AMC 8
- 2023 AMC 8
- 2024 AMC 8
- 2025 AMC 8
- 2026 AMC 8