作业帮 > 数学 > 作业

三个互不相等的有理数既可以表示为0,4分之b的形式,求ab的值.

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/05 10:33:18
三个互不相等的有理数既可以表示为0,4分之b的形式,求ab的值.
是a分之b的形式
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 #
很不错哦,你可以试下
c│dヒ⊥▇iニbph屁aodヒ⊥▇qノ悒55160638652011-9-13 22:32:17