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所谓相交圆问题,即指圆几何学中常见的以相交两圆以及经过交点的直线(非公共弦)所构成的问题.其多图性在平时解题中,不大引起教师和学生的注意,因而不甚明显.事实上,相交圆问题,一般地都具有多种图形,是平面几何问题多图性中最突出的一种.在毕业复习中,引导学生作适当探讨,具有一定教学意义.本文结合教材中的一道例题,浅谈笔者关于这方面的体会,供同仁参考。相交圆问题之所以具有多图性,是由其特殊结构和属性决定的.首先,多图性与直线在
The so-called intersecting circle problem, which refers to the common problem in circular geometry, consists of intersecting two circles and straight lines passing through the intersection (non-common strings). Its multi-graphiness is usually not solved by teachers and students. Therefore, it is not obvious. In fact, the intersecting circle problem generally has a variety of graphics. It is the most prominent one of the multi-graphic nature of plane geometry problems. In graduation review, it guides students to make appropriate explorations and has certain teaching significance. This article combines an example in the textbook, and discusses the author’s experience in this area for reference. The reason why the intersecting circle problem has multiple graphs is determined by its special structure and properties. First, the multigraph property and the straight line are