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圆锥曲线的切线定义用到了无穷变化过程,它与圆的切线定义在方法上有了根本的区别。但是,只要掌握圆锥曲线及其切线的一些基本性质,却也能象作圆的切线那样用尺规作图法作出圆锥曲线的切线。所以,研究圆锥曲线的切线的几何作图法,不但有趣,而且对提高教学质量也有好处。
The definition of the tangent of the conic curve uses the infinite change process, which is fundamentally different from the tangent definition of the circle. However, as long as you grasp the basic properties of the conic section and its tangent line, you can use the ruler plot method to make the tangent of the conic section just like a round tangent line. Therefore, it is not only interesting to study the geometry of the tangent line of the conic section, but also to improve the quality of teaching.