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圆锥曲线是解析几何的重点内容,包括椭圆、双曲线与抛物线。对于圆锥曲线的方程,高考考查的主要方向是椭圆、双曲线、抛物线的定义、性质和方程,直线与圆锥曲线的位置关系、圆与圆锥曲线的位置关系,圆锥曲线与其他相关知识的交汇等内容。下面结合2013年高考中相关考题加以例析。1.圆锥曲线的定义椭圆、双曲线、抛物线的定义揭示了各自存在的条件、性质及几何特征。一些问题利用定义法来加以求解,可避免繁琐的推理与运算。正确理解和掌握圆锥曲线方程的定义在解题过程中的作用可以大大减少计算量,提高解题
Conic is the focus of analytic geometry, including ellipses, hyperbolic and parabolic. For the conic equation, the main directions of the college entrance examination are elliptic, hyperbolic, parabolic definition, properties and equations, the relationship between the straight line and the conic, the relationship between the circle and the conic, the intersection of the conic and other related knowledge content. The following combination of 2013 college entrance examination in the relevant questions to be analyzed. 1. Definition of Conic Ellipses, hyperbolic, parabolic definition reveals the existence of the conditions, nature and geometric characteristics. Some problems using the definition of law to be solved, to avoid tedious reasoning and computing. Correctly understand and grasp the definition of conic equations in the process of solving problems can greatly reduce the amount of computation and improve the problem-solving