若x∈A，则[1/x]∈A，就称A是“伙伴关系集合”，集合M={-1，0，[1/2]，2，3}的所有非空子集中具有伙伴关

只含有一个元素：｛-1｝,｛1｝
只含有两个元素：｛-1,1｝｛1/2,2｝｛1/3,3｝
只含有三个元素：｛-1,1/2,2｝｛-1,1/3,3｝｝｛1,1/2,2｝
｛1,1/3,3｝
只含有四个元素：｛-1,1,1/2,2｝｛-1,1,1/3,3｝｝｛-1,1,1/2,2｝
｛-1,1,1/3,3｝｛ 1/2,2,1/3,3｝
只含有六个元素：｛-1,1,1/2,2,1/3,3｝

∵由
1
3 和3，
1
2 和2，-1，1组成集合，
1
3 和3，
1
2 和2都以整体出现，
∴有2 ⁴ 个集合
∵集合为非空集合，∴有2 ⁴ -1=15个
故选C．

应该选B,因为A、B的共同之点在[1]、[2],但A含[3],而B含[4],其不同在A[3]只是认识到支流不能忽略,认识到矛盾的统一性,而B[4]则强调了统筹兼顾,这个统筹兼顾含有辩证关糸,非只不能忽略,我们与美国的存在的一些摩擦虽不是主流矛盾,但也应辩证的处理,防止矛盾激化上升,且不是只是认识到是次要矛盾问题,选A与B的根本区别是在A只是认识到中美俩国的矛盾是普遍性与特殊性的统一,但缺少辩证的处理的认识,而B则认识到了这点,即要统筹兼顾,做到双赢.

伙伴关系:羚羊和角马.斑马.长颈鹿.袋鼠等等,它们之间一旦发现危险就会向所谓的伙伴群里跑,在某种意义上来讲,就是给伙伴们提个醒.还有互利共生关系的动物
敌对关系:狮子对所有非己类动物,猎豹对除狮子.狼群以及其他大型食肉动物.

Mankind's relationship with nature is since a colleague to relate to,the friend relates to,requesting mankind so at and the problem of[with] natural relation up,have to with mutual benefit,common development into premise,overcome vision short and shallow and nasty achievement near benefit thought,set up a person to harmonize with nature and enter of science development view

C

山雀和啄木鸟是一对好伙伴.山雀喜欢飞到啄木鸟那儿,在地上吃食啄木鸟啄出的虫子；啄木鸟由于专心敲啄树皮,很容易遭老鹰偷袭,而山雀只要看到老鹰一出现,就会突然安静下来,这等于给啄木鸟发出信号,让它赶快躲

企鹅,海豹

Our products are favored by customers around the world to purchase digital products and the import and export traders and we have set up a long-term and stable partnership.

we take the building of sustainable relationship with our clients seriously.

D

这是真正的一句一句的翻译出来的哦,比较之后就可以看出来啦!这是前两段：
I hope there is a positive upward atmosphere on the campus,with good fellowship among students.In terms of lodging,I do hope that the International House can be provided by the school.
I showed a keen interest in various architectures from my earliest years.There were a large number of toy blocks in my house then,and I'd like to make them into different shapes,from which,I could get a kind of successful pride.As I grew older,I began to pay attention to architectures around me.All sorts of dwelling houses,office buildings,and department centres are all my objects of observation.During summer or winder vacation,I would pay visits to some cities.Naturally,all kinds of constuctions are what most attracted me.I found that they were not only buildings,but also the symbols of the progress of human civilization.Not long ago,I went to the Shanghai Expo,the stadium which before the time had pround impact on me.Especially the Spain stadium--brief line design,lively block connections and advanced constructions--all can give strong shock to viewers'eyes.When seeing that,I confirmed my ideal much more--becoming a famous international architect.Therefore,I wish my university has the leading civil engineering in the whole America.Besides,there are excellent talents of the field who can teach us,which,is also my ultmost expectations for the college life.
最后一段：
Through the selecting of schools,I realized that I've gained a reacquaintance of myselves.I think I'm a person who have highly enthusiastic about creating. And I am not a man who clings to old things.Apart from that,I have good absorbtive capability toward new things.As for creativity,I believe I am gifted in imagination and creativity.I've ever desighed simple a residential plane profile in art class in middle school,and which was being highly thought of by the teacher.On lessons in life,firstly,I treat everyone honestly.I consider it the essential of a man.I am willing to help others within my ability.Meanwhile,I keep faith with my mates.Thus,I behaves well when cooperate with others. For my plan for future,I want to get real grasp of specialty knowledge of civill engeneering in university.Not only the proffessionall knowledge can be broaden,but also the capacity of the knowledge of the world and self-behavior be strengthened.I hope to take part in constructional engeneering cases in local America myself,which,as precious work experience.Several years later,I'll choose to repatriate and find a stable job with high income in the state-owned cooperation.And then struggle for my career,create some extremely creative architectural designs,and realize my ideality.
绝对人工翻译,虽然会有一些不足之处,不过斟酌起来还是不容易,希望楼主满意就好O(∩_∩)O~

C
M=｛-1,0,1/2,1/3,1,2,3｝0不符合 ,1/2和2,1/3和3配对
所以 4个元素的组合 ,即-1,1/2和2,1/3和3,1
C(4,1)+C(4,2)+C(4,3)+C(4,4)=4+6+4+1=15

答案应为15种
方法一：列举法
只含有一个元素：｛-1｝,｛1｝
只含有两个元素：｛-1,1｝,｛1/2,2｝,｛1/3,3｝
只含有三个元素：｛-1,1/2,2｝,｛-1,1/3,3｝,｛1,1/2,2｝,｛1,1/3,3｝
只含有四个元素：｛-1,1,1/2,2｝,｛-1,1,1/3,3｝｝,｛-1,1,1/2,2｝,
｛-1,1,1/3,3｝,｛ 1/2,2,1/3,3｝
只含有六个元素：｛-1,1, 1/2,2,1/3,3｝

方法二：｛-1｝,｛1｝,｛1/3, 3｝,｛1/2, 2｝这四个子集中元素要么全取,要么不取,所以总共有2^4=16种可能 ,除掉空集,非空的共有16-1=15种

解题思路：本题关键看清楚-1和1本身也具备这种运算，这样由-1，1，3和[1/3]，2和[1/2]四“大”元素组成集合．

∵由[1/3]和3，[1/2]和2，-1，1组成集合，[1/3]和3，[1/2]和2都以整体出现，
∴有2⁴个集合
∵集合为非空集合，∴有2⁴-1=15个
故选C．

点评：
本题考点： 子集与真子集．

考点点评： 若把集合中元素0改为[1/4]，答案是什么同学们可以再做一遍，若把1去掉结果又如何？本类问题通常以选择和填空出现，考查集合和元素之间的关系，有时也出现在以其他知识为背景的综合题中，渗透集合的思想，体现基础性与应用性．

We attach importance to the establishment of a lasting partnership with customers and suppliers

很多鸟类,昆虫都有种内互助的关系(大雁,天鹅,蜜蜂)

伙伴关系取决于该种动物之间是否具有互利关系或共生关系.

苍耳+野兔