2004 AMC 8 第 23 题
先试着解答 2004 AMC 8 第 23 题，然后核对你的答案与精心整理的解答，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 2004 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。
23.
特丝沿长方形街区 逆时针跑步。她住在角 。哪张图可能表示她到家的直线距离？
Tess runs counterclockwise around rectangular block She lives at corner Which graph could represent her straight-line distance from home?
答案：D
小提示：
跟踪她在长方形每条边上离角 的距离
Track the distance from corner at each side of the rectangle.
大提示：
距离在对角 处最大
The distance is greatest at the opposite corner
解答：
特丝从 出发跑向 时，她到家的距离不断增加。
从 到 ，距离继续增加，但变化方式不同，并在对角 达到最大。
从 到 ，再从 回到 ，距离逐渐减小到 ，并在 处再次改变变化方式。
只有图 先以一种方式增加，再改变增加方式；随后改变减少方式，最后减小到 。
所以正确答案是 D。
As Tess runs from to her distance from home increases.
From to her distance continues to increase, but with a different shape, reaching its maximum at the opposite corner
From to and then from back to her distance decreases back to again changing behavior at
Graph is the only graph with this increase, changed-rate increase, changed-rate decrease, and final decrease to
Thus, D is the correct answer.
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