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1.问题的提出随着信息技术在教育中的应用和发展,数学教育中的教学内容、教学方式、教学方法等都发生着革命性的变化.数学软件不但广泛运用于教师的教学中,而且渗透进了学生的学习过程,用于平面几何教学的几何画板深受广大师生的喜爱.但几何画板存在局限性,在演示中仅有“形”的动态变化,而无对应“数”的改变.而且基于尺规作图的几何画板,有些作图过程极为复杂,如在几何画板环境中生成圆锥曲线和作圆锥曲线的切线问题一直是一个难题.
1. Problems raised With the application and development of information technology in education, the teaching content, teaching methods, teaching methods, etc. in mathematics education have undergone a revolutionary change.Mathematical software is not only widely used in the teaching of teachers, but also Infiltration into the learning process of students, geometric drawing board for plane geometry teaching by the majority of teachers and students .But there are limitations of the geometric drawing board, in the demonstration only “shape ” dynamic changes, but no corresponding Number "and geometry ruler based on ruler mapping, some of the mapping process is extremely complex, such as the geometric board environment to generate conic and tangent curve for the conic has been a problem.