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已知A=(1+P)(1+q),B=(1+二分之p+q)的平方,试比较A,B的大小.
人气:225 ℃ 时间:2020-04-20 18:26:25
解答
A-B=1+p+q+pq-1-(p+q)-(p+q)²/4
=pq-(p²+2pq+q²)/4
=-(-4pq+p²+2pq+q²)/4
=-(p²-2pq+q²)/4
=-(p-q)²/4≤0
A≤B
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