1983 AMC 12 第 2 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。
2.
点 位于平面内圆 的外部。圆 上至多有多少个点与 相距 厘米？
Point is outside circle on the plane. At most how many points on are cm from
小提示：
与 距离固定的点构成另一个圆
Points at a fixed distance from form another circle
大提示：
数出这两个圆的公共点；两圆相交时取到最大值
Count the common points of the two circles; the maximum occurs when they cross
解答：
与 相距 厘米的点构成一个以 为圆心的圆。两个不同的圆至多相交于两点，而且确实可能有两个交点。
所以正确答案是 B。
The points cm from form a circle centered at Two distinct circles intersect in at most two points, and two intersections are possible.
Therefore, the correct answer is B.
其他年份的第 2 题
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
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