AMC 8 2003 Problem 23

AMC8 2003 年第 23

余数与同余★★★☆☆
In the pattern below, the cat moves clockwise through the four squares, and the mouse moves counterclockwise through the eight exterior segments of the four squares. If the pattern is continued, where would the cat and mouse be after the 247th move?
在下面的图案里,猫顺时针在四个正方形里移动,老鼠逆时针沿着四个正方形外围的 8 根线段移动。 If the pattern is continued, where would the cat and mouse be after the 247th move? 依照此规律,则在第 247 次移动结束后,猫和老鼠分别会在哪里? Problem 24 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? 一艘船沿着以岛 X 为圆心的半圆形路径从点 A 航行到点 B。然后它沿着直线路径从 B 到 C。下面这些图表中哪一个最能显示当船沿航线行驶时,船与岛 X 的距离变化? Problem 25 In the figure, the area of square is. The four smaller squares have sides 1 cm long, either parallel to or coinciding with the sides of the large square. In,, and when is folded over side, point coincides with, the center of square. What is the area of, in square centimeters? 在下图中,正方形 WXYZ 的面积为 25 平方厘米。四个小正方形边长为 1 厘米,它们的各边与大正方形的边平行或重合。在中, ,若将沿着边折叠,则点 A 和正方形的中心重合。那么的面积是多少平方厘米?

正确答案 · Correct Answer

A

解析 · Solution

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