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1.内容与内容解析本节课是学习人教A版数学选修2-1第二章“圆锥曲线与方程”后的一节习题课.本章,在必修2研究直线与圆方程的基础上,继续用坐标法研究圆锥曲线,建构曲线与方程的对应关系,能根据圆锥曲线的几何特征、定义,选择适当的坐标系,建立方程;能通过研究方程得出曲线的几何性质(范围、顶点、对称性、离心率、渐近线、准线等).
1. Content and Content Analysis This lesson is an exercise lesson for people learning A version of Math Elective 2-1 Chapter 2 after “Conic Curve and Equation.” This chapter examines the basics of linear and circular equations in Compulsory 2 , Continue to study the conic curve by coordinate method and construct the corresponding relation between the curve and the equation. According to the geometric characteristics of the conic curve, we can define and select the appropriate coordinate system to establish the equation; we can get the geometric properties of the curve (range, Vertex, symmetry, eccentricity, asymptote, alignment, etc.).