求轨迹方程是高中数学的重要内容,也是学生易犯错误的部分.对此,笔者认为首先应加强“曲线与方程”概念的教学,使学生深刻理解在平面直角坐标系下,根据曲线与方程之间建立一一对应的要求,必须曲线上所有点的坐标都满足方程(完备性),并且坐标满足方程的所有的点都在曲线上(纯粹 The pursuit of trajectory equation is an important part of high school mathematics, and it is also a part of students who are apt to make mistakes. In this regard, the author believes that the teaching of the concept of “curve and equation” should be strengthened first, so that students can deeply understand in the plane rectangular coordinate system, according to curves and equations. To establish a one-to-one correspondence, the coordinates of all the points on the curve must satisfy the equation (completeness), and all points where the coordinates meet the equation are on the curve (purely