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参数方程是以参变量为中介来表示曲线上点的坐标方程,是曲线在同一坐标系下的另一种表示形式。引入参数的意义和作用,使得曲线使用参数方程表示比用普通方程表示更方便。根据曲线的特点,选取适当曲线方程的表示形式,体现了解决问题中数学方法的灵活性。使用直线参数方程解决直线与圆锥曲线问题、根与系数的关系,能起到意想不到的效果,激发学生学习的热情与兴趣。由于学生的思维系统不够完善,缺乏逻辑思维能力和发散能力,碰到问题时候欠缺深思
The parametric equation is a parametric variable that mediates the coordinate equation of a point on a curve, which is another representation of the curve under the same coordinate system. The introduction of the meaning and role of parameters, making the curve using the parametric equation than the ordinary equation more convenient. According to the characteristics of the curve, select the appropriate form of the equation, which reflects the flexibility of mathematical methods to solve the problem. The use of linear parameter equations to solve the problem of straight lines and conic curves, the relationship between root and coefficient, can play an unexpected effect, stimulate students enthusiasm and interest in learning. Because of the student’s thinking system is not perfect, the lack of logical thinking ability and divergent ability, when faced with problems, lack of thought