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对某些数学问题,若能针对题目的特征,恰当地构造辅助圆并巧妙地运用圆的有关知识, 往往可化难为易,化繁为简.此方法的关键是要发现隐含于题中的与圆有关的信息,灵活构造适当的辅助圆.
For certain mathematics problems, if we can properly construct the auxiliary circle and use the relevant knowledge of the circle appropriately according to the characteristics of the topic, we can often make it difficult to make it easier and simplify it. The key to this method is to find the information related to the circle implicit in the problem and flexibly construct the appropriate auxiliary circle.