2019 AMC 8 第 5 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。
5.
一只乌龟向一只兔子挑战赛跑。兔子欣然同意,很快跑到前面,把行动缓慢的乌龟甩在后面。兔子确信自己会赢,于是停下来打盹。与此同时,乌龟以缓慢而稳定的速度走完整场比赛。兔子醒来后跑向终点,却发现乌龟已经在那里。下列哪幅图符合这场比赛的描述,表示从开始到结束时两者的行进距离 随时间 的变化?
A tortoise challenges a hare to a race. The hare eagerly agrees and quickly runs ahead, leaving the slow-moving tortoise behind. Confident that he will win, the hare stops to take a nap. Meanwhile, the tortoise walks at a slow steady pace for the entire race. The hare awakes and runs to the finish line, only to find the tortoise already there. Which of the following graphs matches the description of the race, showing the distance traveled by the two animals over time from start to finish?
小提示:
乌龟的图像是一条直线
The tortoise’s graph is one straight line
大提示:
兔子的图像在睡觉那段时间有一段水平线
The hare’s graph has a flat part during the nap
视频讲解:
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文字解答:
兔子对应的那条路线,就是中间有一段水平线的那条,这段水平线代表兔子打盹的那段时间。
我们还知道,兔子跑到终点所用的时间比乌龟长。
这说明兔子那条路线的终点应该有更大的 值。符合这一点的正是图 。
正确答案是 B。
The hare’s path is the one with the horizontal line in the middle, which represents the period when the hare took a nap.
We also know that the time it takes the hare to reach the finish line is longer than the time it took the tortoise.
This means that the end of the hare’s path should have a larger -value. This is exactly graph
Thus, the correct answer is B.
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