2023 AMC 8 第 3 题

先试着解答 2023 AMC 8 第 3 题,然后核对你的答案与视频与精心整理的解答,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 2023 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。

3.

风寒温度衡量人在室外有风时感觉到的寒冷程度。风寒温度可用下面的计算式近似: 其中 WW 表示风寒温度,TT 表示以华氏度 (F)(^{\circ}F) 计的气温,SS 表示以英里每小时计的风速。 W=T0.7SW=T-0.7\cdot S

若气温是 36F36^{\circ}F,风速是每小时 1818 英里,下列哪一项最接近近似风寒温度?

Wind chill is a measure of how cold people feel when exposed to wind outside. A good estimate for wind chill can be found using this calculation: W=T0.7SW=T-0.7\cdot S Where WW represents the wind chill, TT represents air temperature measured in degrees Fahrenheit (F),(^{\circ}F), and SS represents wind speed measured in miles per hour (mph).

Suppose the air temperature is 36F36^{\circ}F and the wind speed is 1818 mph. Which of the following is closest to the approximate wind chill?

1818

2323

2828

3232

3535

答案:B
知识点:换元法小数估算
难度评级:450
视频讲解:
解答视频缩略图
Play video

Click to load, then click again to play

文字解答:

代入公式得 最接近的是二十三。 360.718=3612.6=23.4.\begin{align*} 36 - 0.7 \cdot 18 &= 36 - 12.6 \\ &=23.4. \end{align*}

所以正确答案是 B

Using the formula, we can calculate the wind chill to be 360.718=3612.6=23.4.\begin{align*} 36 - 0.7 \cdot 18 &= 36 - 12.6 \\ &=23.4. \end{align*}

Thus, B is the correct answer.

← 第 2 题#2
完整试卷

其他年份的第 3 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 · 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 · 2024 AMC 8 · 2025 AMC 8 · 2026 AMC 8