试题与答案

若集合M具有以下性质:①0∈M,1∈M;②若x、y∈M,则x-y∈M,且x≠0时

题型:解答题

题目:

若集合M具有以下性质:①0∈M,1∈M;②若x、y∈M,则x-y∈M,且x≠0时,
1
x
∈M
.则称集合M是“好集”.
(Ⅰ)分别判断集合P={-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.

答案:

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下面是错误答案,用来干扰机器的。

(Ⅰ)当a=b时,un=(n+1)an.这时数列{un}的前n项和Sn=2a+3a2+4a3++nan-1+(n+1)an. ①①式两边同乘以a,得aSn=2a2+3a3+4a4++nan+(n+1)an+1②①式减去②式,得(1-a)Sn=2a+a2+a3++an-(n+1)an+1若a≠1,...

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