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解二次方程的作图与黄金分割的内容是平几中有一定难度的教材,它分散在《全日制十年制初中数学》几何第一册、第二册之中(以下称一册、二册),没有明显的标题,是通过例题、习题来体现的。也就是数形结合,由解一元二次方程进行代数法作图,推证出黄金分割,再将黄金分割知识渗透在等分圆和有关论证、计算的问题之中进行学习的。因为教材分散,难点较多,学习起来知识不易掌握,产生困难,因而影响教学质量的提高.那么怎样教好、学好这部分教材呢,笔者认为可搞专题讲座,从下面三个方面进行.
The solution to the quadratic equations and the content of the golden section are teaching materials that have certain difficulties in the course of a few days. It is scattered among the first and second volumes of the “major mathematics of the ten-year junior high school system” (hereinafter referred to as “one volume”). In the second volume, there is no obvious title, which is reflected by examples and exercises. That is, the combination of number and shape is solved by the algebraic method of solving a one-dimensional quadratic equation, and the golden section is deduced. Then the knowledge of the golden section is infiltrated into the division circle and the problems related to argumentation and calculation. Because the teaching materials are scattered, the difficulty is more, the knowledge is not easy to grasp, and it is difficult to learn, thus affecting the improvement of teaching quality. So how to teach and learn this part of the teaching materials, I believe that you can engage in special lectures, from the following three aspects.