2023 AMC 8 第 9 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

9.

Malaika 在山上滑雪。下图显示了她沿雪道滑行时,相对于山脚的海拔高度(米)。她总共有多少秒处在 44 米到 77 米之间的海拔高度?

Malaika is skiing on a mountain. The graph below shows her elevation, in meters, above the base of the mountain as she skis along a trail. In total, how many seconds does she spend at an elevation between 44 and 77 meters?

66

88

1010

1212

1414

答案:B
知识点:数据与图表解读
难度评级:1020
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文字解答:

她第一次达到 77 米是在 22 秒时。

随后她在 44 秒后低于 44 米,这一段贡献 42=24 - 2 = 2 秒。

接着她在 66 秒时重新高于 44 米,并在 1010 秒时再次达到 77 米。

这一段贡献 106=410 - 6 = 4 秒。最后她在 1212 秒时低于 77 米。

再到 1414 秒时她低于 44 米,最后一段贡献 1412=214 - 12 = 2 秒。

总时间为 秒。所以正确答案是 B2+4+2=8 2 + 4 + 2 = 8

The first time that she hits an elevation of 77 meters is at 22 seconds.

She then dips below 44 meters after 44 seconds. This adds 42=24 - 2 = 2 seconds to the total answer.

Malaika then goes above 44 meters at 66 seconds. She hits 77 meters again at 1010 seconds.

This adds 106=410 - 6 = 4 more seconds to the total. She finally dips below 77 meters for the last time at 1212 seconds.

She then falls below 44 meters at 1414 seconds, finally adding 1412=214 - 12 = 2 seconds to the total time.

The desired answer is therefore 2+4+2=8 2 + 4 + 2 = 8 Thus, B is the correct answer.

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