1960 AMC 12 第 12 题
先试着解答 1960 AMC 12 第 12 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 1960 AMC 12 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。
12.
在同一平面内，所有半径为给定值 ，且经过一个定点的圆，其圆心的轨迹是：
The locus of the centers of all circles of given radius in the same plane, passing through a fixed point, is:
一个点
a point
一条直线
a straight line
两条直线
two straight lines
一个圆
a circle
两个圆
two circles
小提示：
每个圆心到定点的距离都恰好等于一个半径
Every center must be exactly one radius from the fixed point
大提示：
确定与一个点保持固定正距离的所有点的轨迹
Identify the locus of points at a fixed positive distance from one point
解答：
半径为 的圆经过该定点，当且仅当其圆心到该点的距离为 。所有这些圆心的轨迹是一个半径为 的圆。
因此，正确答案是 D。
A circle of radius passes through the fixed point exactly when its center is distance from that point. The locus of all such centers is a circle of radius
Therefore, the correct answer is D.
其他年份的第 12 题
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- 1953 AMC 12
- 1954 AMC 12
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