已知实数a,b满足ab=1,a/1+a+b/1+b求值,

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已知实数a,b满足ab=1,a/1+a+b/1+b求值,已知实数a,b满足ab=1,a/1+a+b/1+b求值,已知实数a,b满足ab=1,a/1+a+b/1+b求值,a/1+a+b/1+b=1/[1

已知实数a,b满足ab=1,a/1+a+b/1+b求值,
已知实数a,b满足ab=1,a/1+a+b/1+b求值,

已知实数a,b满足ab=1,a/1+a+b/1+b求值,
a/1+a+b/1+b=1/[1+1/a]+1/[1+1/b]=1/(1+b)+1/(1+a)=(a+b+2)/(1+a+b+ab)=1
[ab=1 a=1/b b=1/a]
ok

通分不麻烦把
然后代入ab=1
可得=1

a/1+a+b/1+b=1/[1+1/a]+1/[1+1/b]=1/(1+b)+1/(1+a)=(a+b+2)/(1+a+b+ab)=1
[ab=1 a=1/b b=1/a]

化简得:a+2b……无解(或者我不会)