集合基础的知识点检测题

1、集合基础知识检测题一选择题1已知 A x|3 3x0 ，则下列各式正确的是()A 3AB1AC0AD 1?A2下列四个集合中，不同于另外三个的是()A y|y 2B x2C 2D x|x2 4x 4 03集合 a， b 的子集有 ()A1个B2 个C3 个D4 个4下列各式中，正确的是()A 2 3 x|x 3 B 23? x|x 3C23? x|x 3 D 2 3x|x 35集合 A x|0 xBA x| 1x2 ， B x|0 x1 ，则 (B A BC B A)DA? B8下列说法：空集没有子集； 任何集合至少有两个子集；空集是任何集合的真子集；若 ? A ，则 A ? 。其中正确的有

2、()A0个B1 个C2 个D3 个9下列命题中正确的() 0 与 0 表示同一个集合；由1,2,3 组成的集合可表示为 1,2,3 或 3,2,1 ；方程 (x1) 2(x 2) 0 的所有解的集合可表示为 1,1,2 ；集合 x|4x5 可以用列举法表示A 只有和B只有和C只有D 以上语句都不对10用列举法表示集合 x|x2 2x 1 0 为 ()A 1,1B1C x 1D x2 2x 1 011已知集合 A x N* | 5 x5 ，则必有 ()A1AB0AC. 3AD 1A12定义集合运算：A*B z|z xy，x A ，y B 设 A 1,2 ， B 0,2 ，则集合 A*B 的所有元

3、素之和为 ()A 0B 2C 3D 6二填空题13给出四个关系：1 R；2?Q ； | 3|?N*； | 3| Q.2其中正确的代号是 _ 14已知 P x|2 x a， xN ，已知集合 P 中恰有 3 个元素，则整数a _.15已知集合A 1,3,2m 1 ，集合 B 3 ， m2 ，若 B? A ，则实数m _.16已知 ? x|x2 x a 0 ，则实数a 的取值范围是_三解答题17已知集合A 1 ，x， x2 x ，B 1, 2 ， x ，若 A=B ，求 x 的值20集合 M x|x2 x 60 ，N x|(x 2)(x a) 0 ，且 N? M ，求实数 a 的值21设集合218

4、已知集合 A x|1x4 ， B x|xa ，A x， y ， B 0 ，x ，若 A B，求实数 x， y.若 A ? B，求实数 a 的取值集合22已知集合 A x|ax23x 4 0，x R 19设2 2a 3,2,3， B=2(1)若 A 中有两个元素， 求实数 a 的取值范围；A= a，|a 3| ，若 A 中至多有一个元素，求实数a 的取值已知 5 A 且 5?B，求 a 的值(2)范围Along with the advance of thesociety more and more problems arebrought to our attention, one ofwhic

5、h is that.随着社会的不断发展， 出现了越来越多的问题，其中之一便是_。As to whether it is a blessing oracurse,however,peopletake赠送以下资different attitudes.料然而，对于此类问题， 人们持不同的看法。(Holddifferentattitudes持 不 同 的 看 ;Come upwith different attitudes有不同的看法)As society develops, people areattaching much importance to.随着社会的发展， 人们开始关注.英语万能作文(模

6、板型）People are attaching more andmore importance to the intervieware in alarm that.during job hunting最近，这种现象引起了人们的求职的过程中，人们慢慢意识广泛关注，有人开始担心到面试的重要性。_。As to whether it isThe human race has entered aworthwhile ., there is a completely new stage in its history,long-running controversial debate. It withthe

7、increasinglyrapidis quite natural that peoplefromeconomicglobalizationanddifferent backgrounds mayhave urbanization,more problems aredivergent attitudes towards it.brought to our attention.关于是否值得 _的人类进入了一个历史的崭新问题，一直以来争论不休。当然，的阶段，经济全球化、 都市化的速不同的人对此可能持不同的观点。度不断加快，随之给我们带来了很In the process of modern urba

8、n 多问题。development, we often find. plays such an importantourselves in a dilemma.role that it undeniably becomes the在都市的发展中，我们往往会biggest concern of the present world,陷入困境。there comes a question, is it aRecently the phenomenon hasblessing or a curse?aroused wide concern, some people_显得非常重要而成为many peop

9、le, so many minds. It isJust as the saying goes: so当今世界所关注的最大的问题，这 think. while some prefer.是无可厚非的。不过，问题是：说到_，有人认为我们该如何抉择 ?_，而另一些人则认为Now we are entering a new era, _。full of opportunities and challenges, 现在我们正在进入一个充满机会和挑战的新时代。quite understandable that views onPeoplefromdifferentthis issue vary from

10、person tobackgrounds would erpretations on the same case.俗话说， 。不同的人对此有不同行业的人对同一种问题不同的看法是可以理解的。的解释不尽相同。To this issue, different peopleThe controversial issue is oftencome up with various attitudes.brought into public focus. People对于这个问题，不同的人持不from differentbackgrounds hold同的观点。d

11、ifferent attitudes towards the issue.There is a good side and a bad这中极具争议性的话题往往side to everything, it goes without很受社会的关注。不同的人对此问saying that.题的看法也不尽相同。万事万物都有其两面性，所When asked ., some people以，勿庸置疑， _。When itcomes to ., most _，不过，另一方面，赞同 _people believe that ., but other 的人则认为 _。people regard .as .Some

12、 people are of the opinion提到 _问题，很多人that.有些人认为。_认为 _，不过，一些人则Many people claim that.认为 _是_.很多人认为 _。When faced with., quite aA majority of绝大多数few people claim that ., but otherA large number of 很多人people think as.Some people contend that .提到 _问题，仅少数has proved to bring many人认为 _，但另一些人则认advantages (disa

13、dvantages)为。有些人认为 _有很多_There is a public controversy 有利之处 (不利之处 )。nowadays over the issue of . Therewho criticize .argue that ., theybelievethat.,butpeoplewhoThose who argue for . say that .economic development of the cities.favor ., on the other hand, argue觉得 _的人认为， _that.城市的经济发展。目前，_问题争议较大。 批Some

14、people advocate that .判_的人认为 _，他们认为有些人在坚持认为_。列出了如下原因： _。They hold that . 他们认为But others hold the view that ._。但是，另外一些人则认为 _。People, who advocate that .,观点的用词：Attitude, opinion,have their sound reasons (grounds)与其搭配的动词以及词组： Take,坚持认为 _的人也有其have, come up with ，set forth, put说法 (依据 )。forward 等。Those wh

15、ohave alreadyBut on the other hand, there arebenefited from practicing it singalso quite a few people whohigh praise of it.那些从中受益strongly advocate that.,.的人对此大家褒奖。Those who strongly approveof . have cogent reasons for it.强烈认同 _的人有很多不过，另一方面，也有少部分人坚持认为 _。But people who are ., on theother hand , mainta

16、in that.原因。不过，另一方面， _Many people would claim的人认为 _。that. 有人会认为 _。However, there are a largePeople who support . givenumber of people who hold asome or all of the following reasons. different view concerning this case.那些支持 _观点的人然而，很多人对此有不同的看法。On the other hand, there are问题用词：Issue, also many opponent

17、s who strongly .phenomenon，后接介词 , on, over另一方面，也有很多反对的等。人，他们认为 _。However, some others argueAccordingto mypersonalitythat. 然 而 ， 另一 些 人 则 认 为and fondness, Iwouldprefer ._。rather than.However, there are also some根据我的个性以及兴趣， 我选others who contend that.择_而不会选择然而，也有人认为_。_。Personally, I side with the latte

18、rButother peopleset forth(former) pletelytotallydifferent就我个人而言，我支持后者argument concerning this case.(前者 )_。不过，对于此，另一些人则持Personally, I am in favor of the完全不同的观点。former point of view.Some people examine this就我个人而言，我较同意前一issue from another angle.种看法。有的人用另一角度来看这一To my point of view我认为问题。To my mind, the a

19、dvantages faroverweighthe如果真的需要作出选择， 我宁drawbacks(disadvantages,愿_。shortcomings)展现问题篇我认为，优点胜过缺点。问 题 的 常 用 词 ： question,For my part, I stand on side ofthe latter opinion that.就我而言，我较赞同后一种观点_。As far as I am concerned, I aminclined to be on the side of theproblem, issueRecently, the issue of . hasbeen b

20、rought into public focus.近来， _的问题引起了社会的广泛关注。Now we are entering a brandlatter view.new era fullof opportunities and在我看来，我较同意后一种观innovations, and great changes have点。takenplace inpeople attitudesAfter a thorough consideration, towards some traditional practice.for my part, I am in favor of thelatter

21、view that.经过深思熟虑，我较支持后一种看法，亦即 _。If asked to make a decision, Iwould prefer.现在我们进入了一个充满机遇和创新的崭新时代， 很多人对某些传统的看法也发生了很大改变。Recently the issue of whetheror not . has been in the limelight and has aroused wide concern in thepublic.Peoplefromdifferent近来，是否 _的问题已经非backgrounds would putdifferent常明确而且引起了社会的广泛关

22、interpretations on the same case.注。不同行业的人对同一种问题The issue whether it is good or的解释不尽相同。not to . has aroused a heatedThe controversial issue is oftendiscussion all over the country.brought into public focus. People_的利与弊已在全国范from differentbackgrounds hold围内引起热烈的讨论。different attitudes towards the issue.At present, some people这中极具争议性的话题往往think .while others claim .Both很受社会的关注。 不同的人对此问sides have their meri