有理数a,b,c,x,y,z满足条件a<b<c及x<y<z,试比较ax+by+cz,ax+cy+bz,bx+ay+az的大小关系.
人气:210 ℃ 时间:2020-01-30 10:44:05
解答
两个两个进行比较 令ax+by+cz=A ax+cy+bz=B bx+ay+az=C
A-B=(c-b)(z-y)>0
A-C=(a-b)(x-y)+(c-a)z
B-C=(a-b)(x-z)+(c-a)y
若y>0 则A>B>C
以此类推、逐个分析、
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