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已知三个互不相等得有理数既可以表示为1 a+b a的形式.还可表示为0 a分之b b的形式,求ab的值 急

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已知三个互不相等得有理数既可以表示为1 a+b a的形式.还可表示为0 a分之b b的形式,求ab的值 急
A= {1, a+b, a }
B= {0, b/a, b}
∵ 0 is not equal to 1
case 1
if 1= b/a => a= b (a is not equal to 0) ---(1)
and case 1.1 if a= 0 contradict (1) (rejected )
and case 1.2 if a=b/a => a^2 = b
then from(1) a^2-a = 0 => a= 0 (rejected)
a = 1 => b =1
case 2
if 1= b
and case 2.1 if a=0 and b/a does not exist (rejected)
and case 2.2 if a= b/a => a^2 = b --(2)
and a+b = 0
from (2) a^2 - a = 0
==> a=1 or 0(rejected)
when a=1 =>b =1
from case 1 and case 2, we get
a=1 b=1 #