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关于高中数学中的很多判断直线与圆、直线与圆锥曲线、圆与圆锥曲线是否有交点、有几个交点的问题,主要有几何法和代数法两种方法,所谓代数法往往是利用判别式法,即:两个方程联立消去一个变量得到一个只含有一个自变量的二次函数,然后通过这个二次函数的判别式的符号来判断两个图像是否有交点,有几个交点。
A lot of high school mathematics to determine the line and circle, straight line and conic curve, circular and conical curve whether there is a point of intersection, there are several points of intersection, there are two main geometric and algebraic methods, the so-called algebra is often the use of discriminant Method, that is: the two equations Simultaneous Elimination of a variable to get a quadratic function containing only one argument, and then through the quadratic function of the discriminant symbols to determine whether there is an intersection of the two images, there are a few intersections.