作业帮证明：x2+y2+1>2(x-y-1)
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证明：x2+y2+1>2(x-y-1)
证明：x2+y2+1>2(x-y-1)
证明：x2+y2+1>2(x-y-1)
x2+y2+1-2(x-y-1) =x2+y2+1-2x+2y+2 =x2+y2-2x+2y+1+1+1 =(x-1)2+(y+1)2+1 (x-1)2+(y+1)2>=0 (x-1)2+(y+1)2+1>=1>0 x2+y2+1-2(x-y-1) >0 x2+y2+1>2(x-y-1)
证明：x2+y2+1>2(x-y-1)
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