若实数a,b,c满足a>b>c,试比较M=a²b+b²c+c²a与N=ab²+bc²+ca²的大小
若实数a,b,c满足a>b>c,试比较M=a²b+b²c+c²a与N=ab²+bc²+ca²的大小
其他人气:689 ℃时间:2019-08-22 16:43:22
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M=a²b+b²c+c²a与N=ab²+bc²+ca²M-N=a²b+b²c+c²a-(ab²+bc²+ca²)=a²b-ab²+b²c-bc²+c²a-ca²=ab(a-b)+bc(b-c)+ac(c-a)=ab(a...
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