a、b为实数,且ab=1,设P=a/a+1+b/b+1,Q=1/a+1+1/b+1则PQ=_____.

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a、b为实数,且ab=1,设P=a/a+1+b/b+1,Q=1/a+1+1/b+1则PQ=_____.
a、b为实数,且ab=1,设P=a/a+1+b/b+1,Q=1/a+1+1/b+1则PQ=_____.

a、b为实数,且ab=1,设P=a/a+1+b/b+1,Q=1/a+1+1/b+1则PQ=_____.
因为ab=1,
所以P=a/(a+1)+b/(b+1)
=a/(a+1)+ab/(ab+a)=a/(a+1)+1/(1+a)=1,
Q=1/(a+1)+1/(b+1)
=1/(a+1)+a/(ab+a)=1/(a+1)+a/(1+a)=1,
所以PQ=1.