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直线与圆锥曲线是解析几何的核心内容,解析几何的本质是用代数知识与方法研究几何问题,其桥梁就是平面直角坐标系。因而,直线与圆锥曲线问题,不仅涉及几何知识,也涉及广泛的代数知识,综合性强、能力要求高。对于直线与圆锥曲线问题,近几年高考考查的焦点聚集在以下三个方面:一是圆锥曲线的定义、标准方程和简单的几何性质,二是求曲线的方程(轨迹问题),三是用代数知识研究几何问题,并与平面几何(立体几何)、向量、函数、不等式、导数、数列等知识相
Linear and conic curves are the core content of analytic geometry. The essence of analytical geometry is to use algebraic knowledge and methods to study geometric problems. The bridge is the plane rectangular coordinate system. Therefore, the problem of straight lines and conic curves involves not only geometric knowledge but also extensive knowledge of algebra. It has strong comprehensiveness and high capability requirements. For the problems of straight lines and conic curves, the focus of the college entrance examination in recent years has focused on the following three aspects: First, the definition of conical curves, standard equations and simple geometric properties, and secondly, the equations for trajectories (trajectory problems). Algebraic knowledge to study geometric problems, and with knowledge of plane geometry (stereo-geometry), vectors, functions, inequalities, derivatives, sequences, etc.