∵1/a +1/b=1/‹a +b›
∴(a+b)/ab=1/(a+b)
即(a+b)²=ab
∴b/a+a/b
=(b²+a²)/ab
=[(a+b)²-2ab]/ab
=(ab-2ab)/ab
=-ab/ab
=-1
【中学生数理化】团队wdxf4444为您解答!
∵1/a +1/b=1/‹a +b›
∴(a+b)/ab=1/(a+b)
即(a+b)²=ab
∴b/a+a/b
=(b²+a²)/ab
=[(a+b)²-2ab]/ab
=(ab-2ab)/ab
=-ab/ab
=-1
【中学生数理化】团队wdxf4444为您解答!