直线与圆锥曲线的位置关系有相交、相切、相离三种,直线与圆锥曲线有两个公共点,截得的线段叫做圆锥曲线的弦.判定给定直线与圆锥曲线的位置关系一般可以通过联立其方程,推出一元二次方程,利用判别式来进行判断.直线与圆锥曲线的综合问题是历年来高考中的重要且常见的问题,这样的问题涉及的概念、知识、方法比较多,运算较繁,解题过程中一定要耐心细致,考虑全面,提高运算技能. The positional relationship between the straight line and the conic section has three types: intersection, tangency, and separation. There are two common points between the straight line and the conic section. The line segment is called the conic section. The position relationship between the given line and the conic section can be determined. By formulating their equations, a one-dimensional quadratic equation is introduced, and discriminants are used to judge. The synthesis of straight lines and conic curves is an important and common problem in college entrance examinations over the years. Such problems involve more concepts, knowledge, and methods. , Computation more complicated, the process of solving problems must be patient and careful, consider comprehensive, improve computing skills.