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=_____.

来源：学生作业帮助网编辑：六六作业网时间：2024/05/18 13:33:29

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=_____.
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.