人教A版高一数学上册第一章集合与函数概念测试题及答案解析.doc

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1、第一章 集合与函数概念一、选择题1已知全集U0，1，2且UA2，则集合A的真子集共有( )A3个B4个C5个D6个2设集合Ax|1x2，B x|xa，若AB，则a的取值范围是( )Aa|a1 Ba|a1 Ca|a2 Da|a23Ax|x2x60，Bx|mx10，且，则的取值集合是( )A B C D4设I为全集，集合M，N，P都是其子集，则图中的阴影部分表示的集合为( )(第4题)AM (NP)BM (P IN)CP (IN IM ) D(M N)(M P)5设全集U(x，y)| xR，yR，集合M，P(x，y)|yx1，那么U(MP)等于( )AB(2，3)C(2，3)D(x，y)| yx1

2、6下列四组中的f(x)，g(x)，表示同一个函数的是( )Af(x)1，g(x)x0 Bf(x)x1，g(x)1Cf(x)x2，g(x)()4 Df(x)x3，g(x)7函数f(x)x的图象关于( )Ay轴对称 B直线yx对称 C坐标原点对称 D直线yx对称8函数f(x)(xR)的值域是( )A(0，1) B(0，1 C0，1) D0，19已知f(x)在R上是奇函数，f(x4)f(x)，当x(0，2)时，f(x)2x2，则f(7)( )A2 B2 C98 D9810定义在区间(，)的奇函数f(x)为增函数；偶函数g(x)在区间0，)的图象与f(x)的图象重合设ab0，给出下列不等式：f(b)f

3、(a)g(a)g(b)；f(b)f(a)g(a)g(b)；f(a)f(b)g(b)g(a)；f(a)f(b)g(b)g(a).其中成立的是( ) A与 B与 C与 D与二、填空题11函数的定义域是 12若f(x)axb(a0)，且f(f(x)4x1，则f(3) 13已知函数f(x)ax2a1在区间0，1上的值恒正，则实数a的取值范围是 14已知I不大于15的正奇数，集合MN5，15，(IM)(IN)3，13，M (IN)1，7，则M ，N 15已知集合Ax|2x7，Bx|m1x2m1且B，若ABA，则m的取值范围是_16设f(x)是R上的奇函数，且当x0，)时，f(x)x(1x3)，那么当x(

4、，0时，f(x) 三、解答题17已知Ax|x2axa2190，B x|x25x60，Cx|x22x80，且(AB)，AC，求的值18设A是实数集，满足若aA，则A，a1且1 A(1)若2A，则A中至少还有几个元素？求出这几个元素(2)A能否为单元素集合？请说明理由(3)若aA，证明：1A 19求函数f(x)2x22ax3在区间1，1上的最小值20已知定义域为R的函数f(x)是奇函数(1)求a，b的值；(2)若对任意的tR，不等式f(t22t)f(2t2k)0恒成立，求k的取值范围参考答案一、选择题1A解析：条件UA2决定了集合A0，1，所以A的真子集有，0，1，故正确选项为A2D解析：在数轴上

5、画出集合A，B的示意图，极易否定A，B当a2时，2 B，故不满足条件AB，所以，正确选项为D3C解析：据条件ABA，得BA，而A3，2，所以B只可能是集合，3，2，所以，的取值集合是C4B解析：阴影部分在集合N外，可否A，D，阴影部分在集合M内，可否C，所以，正确选项为B5B解析：集合M是由直线yx1上除去点(2，3)之后，其余点组成的集合集合P是坐标平面上不在直线yx1上的点组成的集合，那么M P就是坐标平面上除去点(2，3)外的所有点组成的集合由此U(M P)就是点(2，3)的集合，即U(M P)(2，3)故正确选项为B6D解析：判断同一函数的标准是两函数的定义域与对应关系相同，选项A，B

6、，C中，两函数的定义域不同，正确选项为D7C解析：函数f(x)显然是奇函数，所以不难确定正确选项为C取特殊值不难否定其它选项如取x1，1，函数值不等，故否A；点(1，0)在函数图象上，而点(0，1)不在图象上，否选项D，点(0，1)也不在图象上，否选项B8B解析：当x0时，分母最小，函数值最大为1，所以否定选项A，C；当x的绝对值取值越大时，函数值越小，但永远大于0，所以否定选项D故正确选项为B9A解析：利用条件f(x4)f(x)可得，f(7)f(34)f(3)f(14)f(1)，再根据f(x)在R上是奇函数得，f(7)f(1)2122，故正确选项为A10C解析：由为奇函数图像关于原点对称，偶

7、函数图象关于y轴对称，函数f(x)，g(x)在区间0，)上图象重合且均为增函数，据此我们可以勾画两函数的草图，进而显见与正确故正确选项为C二、填空题11参考答案：x| x1解析：由x10且x0，得函数定义域是x|x112参考答案：解析：由f(f(x)af(x)ba2xabb4x1，所以a24，abb1(a0)，解得a2，b，所以f(x)2x，于是f(3)13参考答案：解析：a0时不满足条件，所以a0(1)当a0时，只需f(0)2a10；(2)当a0时，只需f(1)3a10 综上得实数a的取值范围是14参考答案：1，5，7，15，5，9，11，15解析：根据条件I1，3，5，7，9，11，13，

8、15，MN5，15，M(IN)1，7，得集合M1，5，7，15，再根据条件(IM)(IN)3，13，得N5，9，11，1515参考答案：(2，4解析：据题意得2m12m17，转化为不等式组，解得m的取值范围是(2，416参考答案：x(1x3)解析：任取x(，0，有x0，)， f(x)x1(x)3x(1x3)， f(x)是奇函数， f(x)f(x) f(x)f(x)x(1x3)，即当x(，0时，f(x)的表达式为f(x)x(1x3)三、解答题17参考答案：Bx|x25x602，3，Cx|x22x804，2，A 由AC知，4 ，2 A；由(AB)知，3A323aa2190，解得a5或a2当a5时，

9、Ax|x25x60B，与AC矛盾当a2时，经检验，符合题意18参考答案：(1) 2A，1A；A；2A因此，A中至少还有两个元素：1和(2)如果A为单元素集合，则a，整理得a2a10，该方程无实数解，故在实数范围内，A不可能是单元素集(3)证明： aAA AA，即1A19参考答案： f(x)23(1)当1，即a2时，f(x)的最小值为f(1)52a；(2)当11，即2a2时，f(x)的最小值为3；(3)当1，即a2时，f(x)的最小值为f(1)52a综上可知，f(x)的最小值为20参考答案：(1)函数f(x)为R上的奇函数， f(0)0，即0，解得b1，a2，从而有f(x)又由f(1)f(1)知

10、，解得a2(2)先讨论函数f(x)的增减性任取x1，x2R，且x1x2，f(x2)f(x1)，指数函数2x为增函数，0， f(x2)f(x1)，函数f(x)是定义域R上的减函数由f(t22t)f(2t2k)0得f(t22t)f(2t2k)， f(t22t)f(2t2k)， t22t2t2k ()由()式得k3t22t 又3t22t3(t)2，只需k，即得k的取值范围是第 56 页 共 56 页（英文版 ） Two regulations promulgated for implementation is in the party in power for a long time and the

11、 rule of law conditions, the implementation of comprehensive strictly strategic plan, implementation in accordance with the rules and discipline to manage the party, strengthen inner-party supervision of major initiatives. The two regulations supporting each other, the adhere to a positive advocate,

12、 focusing on morality is of Party members and Party leading cadres can see, enough to get a high standard; around the party discipline, disciplinary ruler requirements, listed as negative list, focusing on vertical gauge, draw the party organizations and Party members do not touch the bottom line .

13、Here, the main from four square face two party rules of interpretation: the first part introduces two party Revised regulations the necessity and the revision process; the second part is the interpretation of the two fundamental principles of the revision of laws and regulations in the party; the th

14、ird part introduces two party regulations modified the main changes and needs to grasp several key problems; the fourth part on how to grasp the implementation of the two regulations of the party. and revised the necessity and revised history of the CPC Central Committee the amendment to the Chinese

15、 Communist Party members and leading cadres honest politics several guidelines and column 1 by 2015 to strengthen party laws and regulations focus. Two party regulations revision work lasted a Years, pooling the wisdom of the whole party, ideological consensus, draw historical experience, respect fo

16、r the wisdom of our predecessors, which reflects the unity of inheritance and innovation; follow the correct direction, grasp the limited goals, adhere to the partys leadership, to solve the masses of the people reflect a focus on the problem. The new revision of the and , reflects the partys 18 and

17、 the eighth session of the third, the spirit of the fourth plenary session, reflecting the experience of studying and implementing the General Secretary Xi Jinping series of important speech, reflects the partys eighteen years comprehensive strictly practice. (a) revised two regulations of the party

18、 need of in based on revised, the promulgation and implementation of January 2010, to strengthen the construction of the contingent of leading cadres play an important role. But with the party to manage the party strictly administering the deepening, has not been able to fully meet the actual needs.

19、 Content is too complicated, eight prohibition, 52 are not allowed to hard to remember, and also difficult to put into practice; the second is concisely positive advocated by the lack of prohibited provisions excessive, no autonomy requirements; the third is banned terms and discipline law, both wit

20、h the party discipline, disciplinary regulations repeat and Criminal law and other laws and regulations repeat; the fourth is to clean the theme is not prominent, not for the existing problems, and is narrow, only needle of county-level leading cadres above. is in 1997 based on revision, in December

21、 2003 the promulgation and implementation, to strengthen the construction of the party play very important role. Along with the development of the situation, which many provisions have been unable to fully meet the comprehensive strictly administering the practice needs. One is Ji law, more than hal

22、f of the provisions and criminal law and other countries laws and regulations Repetition; two is the political discipline regulations is not prominent, not specific, for violation of the party constitution, damage the authority of Party Constitution of misconduct lack necessary and serious responsib

23、ility to pursue; third is the main discipline for the leading cadres, does not cover all Party members. Based on the above situation, need to and the two is likely to be more relevant regulations first amendment. By revising, really put the authority of Party discipline, the seriousness in the party

24、 tree and call up the majority of Party members and cadres of the party constitution of party compasses party consciousness. (II) two party regulations revision process the Central Committee of the Communist Party of China attaches great importance to two regulations revision . Xi Jinping, general b

25、ooks recorded in the Fifth Plenary Session of the eighth session of the Central Commission for Discipline Inspection, on the revised regulations made clear instructions. According to the central deployment, the Central Commission for Discipline Inspection from 2014 under six months begin study two r

26、egulations revision. The Standing Committee of the Central Commission for Discipline Inspection 4 review revised. Comrade Wang Qishan 14 times held a special meeting to study two regulations revision, amendment clarifies the direction, major issues of principle, path and target, respectively held a

27、forum will listen to part of the province (area) secretary of the Party committee, Secretary of the Discipline Inspection Commission, part of the central ministries and state organs Department The first party committee is mainly responsible for people, views of experts and scholars and grassroots pa

28、rty organizations and Party members. Approved by the Central Committee of the Communist Party of China, on 7 September 2015, the general office of the Central Committee of the Party issued a notice to solicit the provinces (autonomous regions, municipalities) Party, the central ministries and commis

29、sions, state ministries and commissions of the Party (party), the General Political Department of the military, every 3 people organization of Party of two regulations revision opinion. Central Commission for Discipline Inspection of extensive solicitation of opinions, careful study, attracting, for

30、med a revised sent reviewers. In October 8 and October 12, Central Committee Political Bureau Standing Committee and the Political Bureau of the Central Committee After consideration of the two regulations revised draft. On October 18, the Central Committee of the Communist Party of China formally i

31、ssued two regulations. Can say, two laws amendment concentrated the wisdom of the whole party, embodies the party. Second, and revision of the basic principles of two party regulations revision work and implement the partys eighteen, ten eight plenary, the spirit of the Fourth Plenary Session of the

32、 Eleventh Central Committee and General Secretary Xi Jinping important instructions on the revised and , highlighting the ruling party characteristics, serious discipline, the discipline quite in front of the law, based on the current, a long-term, advance as a whole, with Bu Xiuding independent and

33、 . Main principle is: first, adhere to the party constitution to follow. The constitution about discipline and self-discipline required specific, awaken the party constitution of party compasses party consciousness, maintaining the authority of the constitution. General Secretary Xi Jinping pointed

34、out that no rules, no side round. Party constitution is the fundamental law, the party must follow the general rules. In early 2015 held the eighth session of the Central Commission for Discipline Inspection Fifth Plenary Session of the 16th Central Committee, Xi Jinping again pointed out that const

35、itution is the party must follow the general rules, but also the general rules. the revision of the and is Method in adhere to the regulations established for the purpose of combining rule of virtue is to adhere to the party constitution as a fundamental to follow, the constitution authority set up,

36、 wake up the party constitution and party rules the sense of discipline, the party constitution about discipline and self-discipline specific requirements. 4 second is to adhere to in accordance with the regulations governing the party and the party. The Party of rule of virtue de, mainly refers to

37、the partys ideals and beliefs, excellent traditional style. The revised the closely linked to the self-discipline, insisting on the positive initiative, for all members, highlight the vital few, emphasized self-discipline, focusing on the morality, and the majority of Party members and the ideologic

38、al and moral standards. The revised Ji method separately, Ji, Ji Yan to Method, as a negative list, emphasizing the heteronomy, focusing on vertical gauge. Is this one high and one low, a positive reaction, the strict party discipline and practice results transformation for the integration of the wh

39、ole party to observe moral and discipline requirements, for the majority of Party members and cadres provides benchmarking and ruler. Third, insist on to. In view of the problems existing in the party at the present stage, the main problems of Party members and cadres in the aspect of self-disciplin

40、e and abide by the discipline to make clearly defined, especially the partys eighteen years strict political discipline and political rules, organization and discipline and to implement the central eight provisions of the spirit against the four winds and other requirements into Disciplinary provisi

41、ons. Not one pace reachs the designated position, focusing on in line with reality, pragmatic and effective. After the revision of major changes, major changes in the and modified and needs to grasp several key problems (a) adhere to according to regulations governing the party and party with morals

42、 in combination, for at the present stage, the leadership of the party members and cadres and Party members in existing main problems of self-discipline, put forward principles, requirements and specifications, showing Communists noble moral pursuit, reflected at all times and in all over the world

43、ethics from high from low 5 common requirements. One is closely linked to the self-discipline, removal and no direct relation to the provisions of . the second is adhere to a positive advocate, eight prohibition 52 are not allowed to about the content of the negative list moved into synchronization amendment . Three is for all the party members, will apply object from the leadership of the party members and cadres to expand to all Party members, fully embod