2023 AMC 8 第 11 题

先试着解答 2023 AMC 8 第 11 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。

11.

NASA 的“毅力号”探测车于 20202020 年 7 月 3030 日发射。它行进 292,526,838292{,}526{,}838 英里后,约 6.56.5 个月后降落在火星的杰泽罗陨石坑。下列哪一项最接近探测车的平均星际速度,单位为英里每小时?

NASA’s Perseverance Rover was launched on July 30,30, 2020.2020. After traveling 292,526,838292{,}526{,}838 miles, it landed on Mars in Jezero Crater about 6.56.5 months later. Which of the following is closest to the Rover’s average interplanetary speed in miles per hour?

6,0006{,}000

12,00012{,}000

60,00060{,}000

120,000120{,}000

600,000600{,}000

答案:C
知识点:路程、速度与时间估算单位换算
难度评级:1100
小提示:

6.56.5 个月近似为约 200200

Approximate 6.56.5 months as about 200200 days

大提示:

把每天英里数除以 2424,得到每小时英里数

Convert miles per day to miles per hour by dividing by 2424

视频讲解:
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文字解答:

把距离近似为 300,000,000300{,}000{,}000 英里,并把 6.56.5 个月近似为 30×6.5=195200 30 \times 6.5 = 195 \approx 200 天。

于是每天约行进 300,000,000÷200=1,500,000 300{,}000{,}000 \div 200 = 1{,}500{,}000 英里。

再除以 2424,得到约 62,50062{,}500 英里每小时,最接近 60,00060{,}000

所以正确答案是 C

We can round the distance to 300,000,000300{,}000{,}000 miles and approximate 6.56.5 months as 30×6.5=195200 30 \times 6.5 = 195 \approx 200 days.

This gives 300,000,000÷200=1,500,000 300{,}000{,}000 \div 200 = 1{,}500{,}000 miles per day.

Dividing by 2424 gives about 62,50062{,}500 miles per hour, which is closest to 60,000.60{,}000.

Thus, C is the correct answer.

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