Question

设A=｛a,b,c｝,B=｛1,2｝,C=｛α,β｝,试求 P(A)×A 设集合A=｛1，2，3，4，5，6，7｝，下列各式定义的R都

设A=｛a,b,c｝,B=｛1,2｝,C=｛α,β｝,试求
P(A)×A
设集合A=｛1，2，3，4，5，6，7｝，下列各式定义的R都是A上的关系，试分别写出R的元素
1. R=｛<x,y>|x整除y｝
2. R=｛<x,y>|0≤(x-y)≤3｝
3. R=｛<x,y>|y分之x是素数｝
21.设A=｛a,b,c,d,e,f｝上的划分为｛｛a,c,f｝,｛b,d｝,｛e｝｝,试求此划分所对应的等价关系
试问：
若一颗树有2个度为2的顶点，1个度为3的顶点，3个度为4的顶点，没有度数大于4的顶点，则它有几个度为1的顶点？
试问：有且仅有一个顶点的入度为0，而其他顶点的入度均为1的有向图是否一定是有向树？若是，则证明之；若不是，则举反例说明

Answer 1

本报讯（记者于杰 通讯员樊强）开黑车拉活被城管扣车后，司机任伟和妻子拿着备用钥匙潜入停车场，准备偷偷将车开走，结果被管理员发现。昨天记者获悉，海淀法院以盗窃罪判处任伟、李建娣各有期徒刑1年半，并分处罚金2000元。

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当天11时许，任伟和妻子李建娣持备用钥匙准备偷偷将该车开出，因被停车场管理员阻拦后报警而未得逞，任伟、李建娣也被抓获。

法庭上，任伟夫妇辩称，他们认为车辆没有被合法扣押，开走不会有什么大事，所以才将车开走，并不是偷车。而且被城管扣押的车辆所有权没有转移,newport cigarettes menthol，他们只是想逃避城管处罚，其行为性质不是盗窃。

公诉人则称，任某的车被城管扣押之后，该车占有权转移到城管部门，任伟夫妇偷偷将车开走侵犯了国家机关财产权，构成盗窃罪。

法院认为，涉案车辆已经被海淀区城市管理监察大队依法扣押，在此期间，任伟、李建娣已无权支配该车，但他们仍然用备用钥匙偷车，已经构成盗窃罪。任伟、李建娣偷车时，因被发现未得逞，属于犯罪未遂，且其主观恶性不大，法院依法对其二人比照既遂犯减轻处罚。最后，法院以盗窃罪分别判处任伟、李建娣各有期徒刑1年半，并分处罚金2000元。

Answer 2

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Answer 3

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Answer 4

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