我们知道,许多高考题都是“源于课本”的变形或引申,本文对与圆有关的三道课本中的轨迹问题做一下引申探究.1.到两定点距离之比为定值k(0k≠1)的点的轨迹题1:已知一曲线是与两个定点O(0,0)、A(3,0)距离的比为12的点的轨迹,求此曲线的方程.引申为:例1已知两个定点A、B的距离为2 We know that many of the college entrance examination questions are “distorted or extended from textbooks”, and this paper makes a further exploration of the trajectory problems in the three textbooks related to the circle.1 The distance from two fixed points is fixed value k (0k ≠ 1) Problem 1: It is known that a curve is a trajectory of a point whose distance to the two fixed points O (0,0), A (3,0) is 12. The equation for this curve is : Example 1 It is known that the distance between two fixed points A and B is two