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di 34 jie imo yu xuan ti ji jie da ( xia )
Author(s): 
Pages: 23-25
Year: Issue:  2
Journal: High-School Mathematics

Keyword:  预选题充分必要条件三点共线有限集合证不等式柯西不等式均值不等式公共弦方程组的解轮换对称;
Abstract: <正> 21.(英国)如果圆S与圆∑的公共弦是∑的直径,则称圆S“径截”圆∑设A,B,C是互异3点,圆S_A,S_B,S_C是分别以A,B,C为心的3个圆,求证A,B,C三点共线的充分必要条件是任何一个圆S都不能同时径截三圆S_A,S_B,S_C,进一步地,如果存在多于1个圆S,它们都同时径截圆S_A,S_B,S_C,则这些圆S都过两个固定点,对于圆S_A,S_B,S_C,求出这样的两个点。
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