文 [1 ]对高中数学教材中把椭圆、双曲线、抛物线统称为圆锥曲线 ,是因为这三种曲线可以看作是不同平面截圆锥面所得到的 ,给出了一种初等证法 .我们为肖铿老师那种精巧的构思和高超的设参 ( a、b、焦点、准线 )技巧深感由衷的敬意 .但觉得美中不足的是设参技巧性太强和运算量 [1] In the high school mathematics textbook, the ellipse, hyperbola and parabola are collectively referred to as conic curves, because these three curves can be regarded as different planes of truncated conical surfaces, and an elementary proof method is given. I sincerely pay my respects to Xiao Xiao’s skillful design and superb set of parameters (a, b, focus, and guidelines). However, I feel that the omission of the technique is too technical and computational.