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一、课题概述双曲线的几何性质,一直是圆锥曲线中的一个教学难点和重点.为了突破这个难点,本节课从已知的椭圆几何性质出发,通过方程的相似性类比得到双曲线的几何性质.尤其是在渐近线性质的教学上,笔者一改书上的突兀的提法,而是在双曲线的离心率之后,提出渐近线的必要性,引导学生去探索,发现,很自然轻松的突破了这一个难点,学生的思维在类比教学中汲取能量,新的知识自然的生长出来.二、课堂实录1.交流回顾出概念师:前几天我们学习了椭圆的方程以及几何性质,请大家
First, the subject overview Hyperbolic geometric properties, has been a teaching conic in the difficult and important point.In order to break through this difficult point, this lesson from the known elliptical geometry, analogy through the equation to get the hyperbolic geometry Nature.In particular, asymptotic nature of the teaching, I changed the book abrupt formulation, but after the hyperbolic eccentricity, the need for asymptotic lines to guide students to explore and found that very Naturally easily break through this difficult point, the students thinking in the analogy teaching to learn energy, new knowledge naturally grows.In two, the class record 1 exchange review of the concept: a few days ago we learned the elliptic equations and geometry Nature, please everyone