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圆锥曲线是解析几何的重要内容,是用代数的方法来研究几何问题,它处于代数与几何的交汇处。圆锥曲线包括椭圆、抛物线、双曲线和圆,通过直角坐标系,它们又与二次方程对应,所以,圆锥曲线又叫做二次曲线。研究圆锥曲线的分类和性质,有利于开阔学生的解题思路,沟通知识间的横向联系,培养学生的直觉思维和逻辑推理能力,最终能够通过圆锥曲线的定义,基本性质,数形结合及巧设参数等方法加以解决各种圆锥曲线问题。
Conic curve is an important part of analytic geometry. It uses algebra to study the geometry problem, which is at the intersection of algebra and geometry. Conic curves include ellipses, parabolas, hyperbolic curves, and circles, which, in Cartesian coordinates, correspond to quadratic equations, so that conics are also called quadratic curves. Studying the classification and the nature of the conic is conducive to broaden the students ’problem-solving ideas, to communicate the horizontal relationship between knowledge, to develop students’ intuitive thinking and logical reasoning ability. Finally, through the definition of conic, basic properties, Set parameters and other methods to solve a variety of conic problems.