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1教学目标(1)知识与技能。掌握椭圆的范围、对称性、顶点及离心率等几何性质,会用几何性质求椭圆的标准方程,初步体会离心率对椭圆形状的影响。(2)过程与方法。通过已知方程画对应的曲线,引出椭圆的性质,培养学生的动手操作能力和主动获取知识的能力,渗透数形结合的数学思想,体会解析几何的研究方法。(3)情感、态度与价值观。培养学生的探索能力、合作品质,在操作过程中帮助学生克服畏难情绪,从而理解知识的形成过程,获取成功的体验,增强学生学习数学的兴趣。
1 Teaching objectives (1) Knowledge and skills. Mastering the geometric properties of the ellipse’s range, symmetry, vertices, and eccentricity, etc., will use the geometric properties to find the ellipse’s standard equation, and initially experience the effect of eccentricity on the shape of the ellipse. (2) Process and Method. The corresponding curve is drawn by the known equations to elicit the nature of the ellipse, cultivate the student’s hands-on operational ability and the ability to actively acquire knowledge, penetrate the mathematics idea of combination of numbers and shapes, and experience the analytic geometry research method. (3) Emotions, attitudes and values. Cultivate students’ exploration ability and cooperation quality. In the course of operation, students are helped to overcome their fears and difficulties, so as to understand the process of knowledge formation, obtain a successful experience, and enhance students’ interest in learning mathematics.