Question

已知ab=1，求a+1分之a+b+1分之b的值

Answer 1

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

Answer 2

a/(a+1)+b/（b+1)
=(2ab+a+b)/(ab+a+b+1)
把ab=1带入上式
（a+b+2）/（a+b+2）=1

追问

嘻嘻，谢谢啦\(^o^)/~