数学比较大小...求X^2+Y^2+1与2(X+Y-1)谁大谁小...
数学比较大小...求X^2+Y^2+1与2(X+Y-1)谁大谁小...
数学人气:655 ℃时间:2020-07-17 02:11:21
优质解答
(x²+y²+1)-2(x+y-1)=(x²-2xy+1)+(y²-2y+1)+1=(x-1)²+(y-1)²+1平方大于等于0所以(x-1)²+(y-1)²+1≥1>0所以(x²+y²+1)-2(x+y-1)>0x²+y²+1>2(x+y-1)...
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