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教学目标:(1)掌握双曲线的定义,能说出其焦点、焦距的意义;(2)能根据定义,按照求曲线方程的步骤推导出双曲线的标准方程,熟练掌握两类标准方程;(3)能解决较简单的求双曲线标准方程的问题;(4)培养学生观察、分析、归纳和逻辑推理能力。教学重点:双曲线的定义和标准方程。教学难点:双曲线标准方程的推导过程。教学过程:一、创设情景,引入新课师:我们先来思考这样一个问题:(打开几何画板)已知定点
Teaching objectives: (1) grasp the definition of hyperbolic, can tell the meaning of the focus, focus; (2) according to the definition, according to the equation of the curve equation derived hyperbola standard equations, master two types of standard equations; (3) Solve the simple problem of solving hyperbolic standard equations; (4) Develop students’ abilities of observation, analysis, induction and logical reasoning. Teaching Focus: Hyperbolic Definition and Standard Equation. Difficult points of teaching: The derivation process of hyperbolic standard equation. Teaching process: First, the creation of scenarios, the introduction of a new class teacher: Let us first think about such a problem: (Open Geometry Sketchpad) Known fixed point