AMC8 2004

AMC8 2004 · Q23

AMC8 2004 · Q23. It mainly tests Coordinate geometry, Geometry misc.

Tess runs counterclockwise around rectangular block JKLM. She lives at corner J. Which graph could represent her straight-line distance from home?

Tess 逆时针绕矩形街区 JKLM 跑步。她住在角 J。哪张图可能表示她与家的直线距离？

(A)

(B)

(C)

(D)

(E)

Answer

Correct choice: (D)

正确答案：（D）

Solution

(D) The distance increases as Tess moves from $J$ to $K$, and continues at perhaps a different rate as she moves from $K$ to $L$. The greatest distance from home will occur at $L$. The distance decreases as she runs from $L$ to $M$ and continues at perhaps a different rate as she moves from $M$ to $J$. Graph D shows these changes.

（D）当 Tess 从 $J$ 移动到 $K$ 时，距离增加；当她从 $K$ 移动到 $L$ 时，距离继续增加，但速率可能不同。离家最远的距离将出现在 $L$。当她从 $L$ 跑到 $M$ 时，距离减少；当她从 $M$ 移动到 $J$ 时，距离继续减少，但速率可能不同。图 D 展示了这些变化。

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