2001 AMC 8 第 8 题

先试着解答 2001 AMC 8 第 8 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 2001 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。

8.

Genevieve 在她的大风筝上加支撑条,形式是连接风筝相对顶点的十字。她需要多少英寸支撑材料?

Genevieve puts bracing on her large kite in the form of a cross connecting opposite corners of the kite. How many inches of bracing material does she need?

3030

3232

3535

3838

3939

答案:E
知识点:长度、面积与体积的缩放关系对角线
难度评级:960
解答:

长对角线是 77 个单位,短对角线是 66 个单位。

在大风筝中,一个单位为 33 英寸,所以需要的支撑材料总长为 3(7+6)=313=39 in. 3(7 + 6) = 3 \cdot 13 = 39 \text{ in.}

所以正确答案是 E

The long diagonal is 77 units, and the short one is 66 units.

In the large kite, one unit is 33 inches, so the total amount of bracing material needed is 3(7+6)=313=39 in. 3(7 + 6) = 3 \cdot 13 = 39 \text{ in.}

Thus, E is the correct answer.

← 第 7 题#7
完整试卷

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 · 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