2003 AMC 8 第 24 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。

24.

一艘船沿半圆路径从点 AA 到点 BB,该半圆以岛 XX 为圆心。然后它沿直线路径从 BBCC。下列哪张图最能表示船沿路线移动时到岛 XX 的距离?

A ship travels from point AA to point BB along a semicircular path, centered at Island X.X. Then it travels along a straight path from BB to C.C. Which of these graphs best shows the ship’s distance from Island XX as it moves along its course?

答案:B
知识点:数据与图表解读
难度评级:1540
解答:

AABB 的半圆路径上每一点到圆心 XX 的距离都相同,所以图像一开始是水平的。

在从 BBCC 的直线路径上,船先靠近 XX,然后远离 XX

只有图 BB 先保持水平,然后下降再上升。

所以正确答案是 B

Every point on the semicircular path from AA to BB is the same distance from the center XX, so the graph starts horizontally.

On the straight path from BB to CC, the ship first gets closer to XX and then farther away from XX.

Only graph BB starts flat and then decreases before increasing.

Thus, B is the correct answer.

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