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有关“圆”的题目由于涉及定义概念较多、图形中各量的位置关系复杂,在解题时常出现多解现象,特别是没有给出图形的问题,稍有不慎便会漏解.因此,解答这类问题一定要根据点和圆、直线和圆、圆和圆的位置关系,巧妙地画出符合题意的各种图形,对可能存在的各种情况进行讨论,做到不重复、不遗漏、条理清楚.下面,就圆中经常出现的几类多解题型举例说明.一、由圆心与弦的位置关系引发多解例1在直径为50cm的⊙O中,弦AB=
The problem of “circle ” involves more definition concepts, complex relationship between the positions of the figures in the solution, and often leads to multiple solutions to the problem. In particular, the problem of no graphic is given and the slightest mistake Therefore, in order to solve these problems, we must skillfully draw a variety of graphics that conform to the inscription according to the positions of points and circles, lines and circles, circles and circles, and discuss possible situations so that Repeated, without omission, well-organized. Below, the circle often appear several types of multi-solution type for example. First, by the center of the relationship between the position and the chord caused more solution 1 in the diameter of 50cm ⊙ O, string AB =