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 到点 ，该半圆以岛 为圆心。然后它沿直线路径从 到 。下列哪张图最能表示船沿路线移动时到岛 的距离？
A ship travels from point to point along a semicircular path, centered at Island Then it travels along a straight path from to Which of these graphs best shows the ship’s distance from Island as it moves along its course?
小提示：
沿半圆移动时，到 的距离保持不变
Along the semicircle, the distance from is constant.
大提示：
在直线路段上，船先靠近 ，再远离它
On the straight segment, the ship first gets closer to then farther away.
解答：
从 到 的半圆路径上每一点到圆心 的距离都相同，所以图像一开始是水平的。
在从 到 的直线路径上，船先靠近 ，然后远离 。
只有图 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 to is the same distance from the center so the graph starts horizontally.
On the straight path from to the ship first gets closer to and then farther away from
Only graph starts flat and then decreases before increasing.
Thus, B is the correct answer.
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