设x>=1,y>=1,证x+y+1/xy
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设x>=1,y>=1,证x+y+1/xy设x>=1,y>=1,证x+y+1/xy设x>=1,y>=1,证x+y+1/xy因为x>=1,y>=1得xy>=1则xy*xy>=1两边同加x,y则x+y+xy
设x>=1,y>=1,证x+y+1/xy
设x>=1,y>=1,证x+y+1/xy
设x>=1,y>=1,证x+y+1/xy
因为 x>=1,y>=1
得 xy >= 1 则xy*xy>=1
两边同加 x,y
则 x+y+xy*xy>= x+y+1
两边同除 xy
得 (x+y+xy*xy)/xy>=(x+y+1) /xy
化简得 1/y+1/x+xy>=(x+y+1) /xy
即 (x+y+1)/xy
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