1994 AMC 8 第 19 题
先试着解答 1994 AMC 8 第 19 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 1994 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。
19.
在一个 乘 的正方形外侧，以正方形的四条边为直径作四个半圆。另一个正方形 的边分别与原正方形对应边平行，并且 的每一边都与一个半圆相切。正方形 的面积是
Around the outside of a by square, construct four semicircles with the four sides of the square as their diameters. Another square, has its sides parallel to the corresponding sides of the original square, and each side of is tangent to one of the semicircles. The area of the square is
小提示：
每个半圆以这个 乘 正方形的一条边为直径，所以半径是
Each semicircle has a side of the by square as its diameter, so its radius is
大提示：
的一条边等于原正方形边长加上两个半径
A side of equals the original side length plus two radii
解答：
每个半圆建在长度为 的边上，所以半径为 。每个半圆从原正方形的一边向外突出一个半径。
的每条边等于原边长加两个半径：。所以 的面积是 。
所以正确答案是 E。
Each semicircle is built on a side of length so its radius is A semicircle bulges out from the middle of each side by that radius.
Each side of is the original side plus two radii: So the area of is
Thus, the correct answer is E .
其他年份的第 19 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
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 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