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高中解析几何教材给出椭圆、双曲线、抛物线的第一定义和统一定义 ,第一定义展示了三类曲线各自性质及几何特征 ,统一定义则揭示了三类曲线之间内在联系 ,使焦点、离心率、准线等构成统一的整体 ,灵活运用这两种定义求解圆锥曲线的某些问题能达到简捷、合理的解题效果 .现就有
High school analytic geometry textbooks give the first definition and unified definition of elliptic, hyperbolic and parabolic. The first definition shows the respective properties and geometric characteristics of the three types of curves. The unified definition reveals the intrinsic relationship between the three types of curves, making the focus, The eccentricity, alignment, etc. constitute a unified whole, and the flexible use of these two definitions to solve some problems of conic curves can achieve simple and reasonable problem solving results.