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在整个初中数学中,几何图形的学习占有很大的比重,一道几何题目的解法可能有很多,但是受时间所限,学生在课堂测试中往往只是选择自己最熟悉的一种来进行解答。本文通过对一道网传几何题目的解析以及变式研究,巩固学生对基本图形和通性通法的掌握,培养学生灵活思考问题的能力,实现问题解决方法的最优化,拓展思维。原题呈现:如图1,在平面直角坐标系中,点A,B的坐标分别为A(3,0),B(0,4),分别以OB,AB为边作等边△OBC和等边△ABD,求点D的坐标。
In the whole junior middle school mathematics, the geometrical figure occupies the very big proportion, the geometrical title solution may have many, but is limited by the time, the student in the class test often only chooses the one which oneself is most familiar with to answer. This article through a network of geometric analysis of the problem and the variant study, to consolidate the students grasp of the basic graphics and general method, cultivate students’ ability to think in a flexible manner, to achieve the optimization of problem-solving methods, expand thinking. The original title is presented as follows: As shown in Fig. 1, the coordinates of point A and point B are A (3,0) and B (0,4) respectively in plane rectangular coordinate system, Equilateral △ ABD, find the coordinates of point D.