2018年高中数学第2章圆锥曲线与方程2.4.1抛物线的标准方程课件4苏教版选修2_1.ppt

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抛物线的标准方程,投篮运动,飞机投弹,探照灯的轴截面,问题1:抛物线的定义是什么?,数学中的抛物线:,抛物线的定义,平面内与一个定点 F 和一条定直线 l 的距离相等的点的轨迹叫做抛物线 (注:F 不在 l 上) 定点 F 叫做抛物线的焦点 定直线 l 叫做抛物线的准线,问题2:能根据抛物线定义画出抛物线吗?,问题3:类比椭圆双曲线标准方程推导过程, 能推导出所画抛物线的方程吗?,问题4:类比已得出标准方程的推导过程,能推导出所画抛物线的标准方程吗?,四种抛物线及其它们的标准方程,应用新知:,根据抛物线的标准方程,如何确定抛物线的焦点位置和开口方向呢?,问题5:,应用新知:,课堂小结:,1、学习了四种方程抛物线标准方程四种式;,2、掌握了一种题型,3、注重了两种思想数形结合,分类讨论。,有关抛物线的标准方程和它的焦点坐标、准线方程的求法;,巩固新知:,谢谢大家!,

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