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圆中定值问题涉及的知识面广,有一定的难度。在教学中,可利用一些典型题目,探求解题规律,向学生介绍一些相应的数学思路和方法,帮助学生提高解定值问题的能力,取得一定的收效。一、从图形的特殊位置找关系首先看例1:自两个同心圆中的小圆上一点A作小圆的弦AB,且过A作与AB垂直的大圆的弦CD,求证:AB2+AC2+AD2是定值。探求:题中要求证明AB2+AC2+AD2为
There is a wide range of knowledge involved in setting the value of the circle. There is a certain degree of difficulty. In teaching, we can use some typical topics to explore the law of solving problems, to introduce students to some of the corresponding mathematical ideas and methods to help students improve their ability to solve problems, and achieved some results. First, look for the relationship between the special position of the graphics First look at Example 1: From a small circle on the two concentric circles A for the small circular chord AB, and A for the vertical circle AB and CD, verify: AB2 + AC2 + AD2 is a fixed value. Quest: The title requires proof of AB2 + AC2 + AD2