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,曲线上所有点的坐标都必须满足方程(完备性),并且坐标满足方程的所有的点都在曲线上(纯粹性),即轨迹方程必须满足完备性与纯粹性的要 Seeking trajectory equation is an important part of high school mathematics, but also a part of the students make mistakes.In this regard, I believe that we should first strengthen the teaching of the concept of “curve and equation”, so that students can understand deeply in the plane rectangular coordinate system, according to the curve And the equation to establish a one-to-one correspondence between the requirements of the coordinates of all points on the curve must satisfy the equation (completeness), and coordinates of all points of the equation are in the curve (pure), that the trajectory equation must meet the completeness And purity of the want