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已知a,b,c是三角形ABC的角A,B,C所对的边,且满足2a²/(1+a²)=b,2c²/1+c²=a
试比较a,b,c,大小!
人气:176 ℃ 时间:2019-11-22 01:28:14
解答
由题意知:2a²/(1+a²)=b,2c²/(1+c²)=a则:a-b=a-2a²/(1+a²)=a(a-1)²/(1+a²)≧0所以:a≧b同理:c-a=c-2c²/(1+c²)=c(c-1)²/(1+c²)≧0即:c≧a综上所述...
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