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【简答题】
若集合A具有以下性质:①0∈A,1∈A;②若x,y∈A,则x-y∈A,且x≠0时, 1 x ∈A .则称集合A是“好集”. (Ⅰ)分别判断集合B={-1,0,1},有理数集Q是否是“好集”,并说明理由; (Ⅱ)设集合A是“好集”,求证:若x,y∈A,则x+y∈A; (Ⅲ)对任意的一个“好集”A,分别判断下面命题的真假,并说明理由. 命题p:若x,y∈A,则必有xy∈A; 命题q:若x,y∈A,且x≠0,则必有 y x ∈A .
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