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在初中平面几何中较为系统地介绍了圆的定义、性质及应用等,到了高中又从代数角度研究圆的方程、直线与圆的位置关系等,这部分的知识方法本应是初、高中数学和谐接轨,螺旋式上升的重要体现,但实际上学生对此普遍存在着两头知识方法严重脱离、迁移联系缺失,无法挖掘和发挥圆的重要功能.其实很多高中数学问题用常规方法求解难度大、技巧性强,且不易奏效,但若能针对问题的本质特征,恰当地构造辅助圆,巧妙地运用圆的有关知识找到解题捷
In the plane geometry of junior high school, the definition, nature and application of circle are systematically introduced. In the high school, the circle equation and the relationship between circle and circle are studied algebraically. This part of the knowledge method should be elementary and high school mathematics Harmonious convergence, the spiral of the important embodiment, but in fact the students there is a widespread two-way knowledge of the serious separation from the migration link missing, unable to tap and play an important function of the circle.In fact, many high school mathematics problems using conventional methods to solve difficult, Skillful, and not easy to work, but if the nature of the problem can be properly constructed auxiliary circle, skillfully use the circle of knowledge to find solution to the problem