《北师大版数学总复习课后演练知能检测X451.doc》由会员分享,可在线阅读,更多相关《北师大版数学总复习课后演练知能检测X451.doc(9页珍藏版)》请在三一办公上搜索。
1、(时间:60分钟,满分:80分)一、选择题(共6小题,每小题5分,满分30分)1不等式的解集是()A(0,2)B(,0)C(2,) D(,0)(0,)解析:由绝对值的意义知,原不等式同解于0,即x(x2)0,0x2,故选A.答案:A2若a,b,cR,且满足|ac|b,给出下列结论abc; bca;acb; |a|b|c|.其中错误的个数是()A1 B2C3 D4解析:、都正确,不正确又|ac|ca|c|a|,|c|a|b|b|,|a|b|c|.正确答案:A3不等式1|x1|3的解集为()A(0,2) B(2,0)(2,4)C(4,0) D(4,2)(0,2)解析:原不等式等价于1x13或3x1
2、1,解之得:0x2或4x2.故应选D.答案:D4不等式|x|(12x)0的解集是()A. B(,0)C. D.解析:原不等式等价于解得x且x0,即x(,0).答案:B5设集合Ax|xa|1,xR,Bx|xb|2,xR若AB,则实数a,b必满足()A|ab|3 B|ab|3C|ab|3 D|ab|3解析:由|xa|1得a1xa1.由|xb|2得xb2或xb2.AB,a1b2或a1b2,即ab3或ab3,|ab|3.选D.答案:D6设x1、x2是函数f(x)2 009x定义域内的两个变量,且x1|f(x2)f()|B|f()f(x1)|f2()解析:f(x)2 009x在R上是递增的,x1x2x1
3、2 009,则有|f()f(x1)|f(x2)f()|.答案:B二、填空题(共3小题,每小题5分,满分15分)7(2011年陕西高考)若关于x的不等式|a|x1|x2|存在实数解,则实数a的取值范围是_解析:f(x)|x1|x2|f(x)3.要使|a|x1|x2|有解,|a|3,即a3或a3.答案:(,33,)8设函数f(x)|2x1|x3,则f(2)_;若f(x)5,则x的取值范围是_解析:f(2)|2(2)1|(2)36,f(x)|2x1|x3则或解得x1,1答案:61,19(2011年江西高考)对于实数x,y,若|x1|1,|y2|1,则|x2y1|的最大值为_解析:|x1|1,1x11
4、,0x2.又|y2|1,1y21,1y3,从而62y2.由同向不等式的可加性可得6x2y0,5x2y11,|x2y1|的最大值为5.答案:5三、解答题(共3小题,满分35分)10(2011年江苏高考)解不等式x|2x1|3.解析:原不等式可化为或解得x或2x.所以原不等式的解集是.11(2011年课标全国高考)设函数f(x)|xa|3x,其中a0.(1)当a1时,求不等式f(x)3x2的解集;(2)若不等式f(x)0的解集为x|x1,求a的值解析:(1)当a1时,f(x)3x2可化为|x1|2.由此可得x3或x1.故不等式f(x)3x2的解集为x|x3或x1(2)由f(x)0得|xa|3x0.
5、此不等式化为不等式组或即或因为a0,所以不等式组的解集为.由题设可得1,故a2.12(2011年南京模拟)设函数f(x)|x1|x2|.(1)解不等式f(x)3;(2)若f(x)a对xR恒成立,求实数a的取值范围解析:(1)f(x)|x1|x2|当x1时 ,32x3,解得x0;当1x2时,f(x)3无解;当x2时,2x33,解得x3.综上,x0或x3,不等式f(x)3的解集为(,0)(3,)(2)f(x)f(x)min1.f(x)a恒成立,a1,即实数a的取值范围是(,1)来源:高考资源网版权所有:高考资源网(www.k s 5 ) 以下是大学体验英语综合教程2(第三版)课后翻译答案Unit1
6、1. 任何年满18岁的人都有资格投票。(be eligible to, vote)Answer:Anyone over the age of 18 is eligible to vote.2. 每学期开学前,这些奖学金的申请表格就会由学校发给每一个学生。(apply for, scholarship)Answer:A form to apply for these scholarships is sent by the university to every student before the start of every semester.3. 遵照医生的建议,我决定戒烟。(on the
7、advice of)Answer:On the advice of my doctor, I decided to give up smoking.4. 公园位于县城的正中央。(be located in)Answer:The park is located right in the center of town.5. 这所大学提供了我们所需的所有材料和设备。(facilities)Answer:The university provides all the materials and facilities we desire.1. 他们花了多年的时间寻找内心的平静,但是收效甚微。(searc
8、h for)Answer:They spent many years searching for peace of mind, but with little success.2. 这种新药的成功研制已经使许多疾病的治疗发生了根本性的变革。(revolutionize)Answer:The successful development of the new drug has revolutionized the treatment of many diseases.3. 由于这个国家的经济不景气,这家公司濒于破产。(on the edge of)Answer:The company is on
9、 the edge of bankruptcy due to the economic depression in the country.4. 大学毕业后他成为了一名护士。他认为护士这一职业可能很有发展前途。(rewarding)Answer:He became a nurse after college. He thought nursing could be a very rewarding career.5. 他像往常一样在文件上签了名。(just as)Answer:He signed his name on the paper just as he has always done
10、it.Unit21. 警察们正忙着填写关于这场事故的各种表格。(fill out)Answer:The policemen are busy fi lling out forms about the accident.2. 我想在还车之前把油箱加满。(fill up, fuel tank)Answer:I want to fi ll up the fuel tank before returning the car.3. 如果你要投诉,最好遵循正确的程序。(follow the procedure)Answer:If you want to make a complaint, youd bet
11、ter follow the correct procedure.4. 要不是约翰帮忙,我们绝不会这么快就完成实验。(without)Answer:We couldnt have fi nished the experiment so soon without Johns help.5. 暴风雨之后,岸边的人们焦急地搜索湖面以期发现小船的踪迹。(scan for)Answer:After the storm, the people on the shore anxiously scanned the lake for any sign of the boat.1. 这个国家不大,但是在国际事务
12、中它却发挥着重要作用。(play a role)Answer:This country is not big, but it plays an important role in international affairs.2. 正是在我叔叔的帮助下,我得以克服困难,按时完成了任务。(it is . that)Answer:It was with the help of my uncle that I overcame the difficulty and completed the assignment in time.3. 毕业时他决定留在北京,而他最好的朋友却选择了去西藏。(while)
13、Answer:While he decided to stay in Beijing upon graduation, his best friend chose to go to Tibet.4. 在这次校园英语演讲比赛中,我们班的玛丽获得了第三名。(come in)Answer:In this Campus English Speaking Contest, Mary from our class came in third.5. 你应该知道学习弹钢琴需要有时间,有金钱,还要有毅力。(as well as)Answer:You should know that it takes time,
14、 money as well as perseverance to learn to play the piano.Unit31. 我发现量入为出地过日子越来越难了。(increasingly)Answer:I find it increasingly difficult to live within my income.2. 现代政治家们都试图以电视讲话来影响普通百姓。(reach out)Answer:Modern politicians try to reach out to ordinary people in their TV speeches.3. 应该帮助学生对人生采取积极的态度
15、。(adopt)Answer:Pupils should be helped to adopt a positive attitude to life.4. 希望全班同学参加这些讨论。(participate in)Answer:Everyone in the class is expected to participate in these discussions.5. 如果你犯了罪就必须受到惩罚。(crime)Answer:If you commit a crime you must expect to be punished.1.儿子的死让老妇人变得麻木痴呆了。(numb)Answer:
16、The old woman was numbed by her sons death.2.身处所有这些烦恼之中,他依然能保持乐观。(in the midst)Answer:In the midst of all troubles, he managed to remain cheerful.3. 虽有困难,他们还是设法坚持试验下去。(carry on)Answer:They managed to carry on their experiments in spite of the difficulties.4.我们必须淘汰不合格的申请人。(weed out)Answer:We have to
17、weed out unqualified applicants.5. 医生要他减少抽烟。(cut down on)Answer:The doctor told him to cut down on smoking.Unit41.她在公共汽车站一直等到末班车进站。(come in)Answer:She waited at the bus stop until the last bus came in.2.如果我们能帮得上忙,尽管和我们联系。(contact)Answer:If there is any way we can be of assistance, please do not hesi
18、tate to contact us.3 .他需要多少船务人员才能使他的游艇航行?(crew, yacht)Answer:How many crew does he need to sail his yacht?4 .虽然她的新书没有上一本好,但是我还是喜欢它。(not quite as)Answer:I enjoyed her new book though its not quite as good as her last one.5 .我从未遇到过如此善良的人。(never before)Answer:Never before have I met such a kind person.
19、1.公共汽车放慢速度并停下,让那位乘客上车。(slow down)Answer:The bus slowed down and stopped to allow the passenger to get on board.2.许多车子都驶过去了,可是没有一辆愿意让我们搭便车。(roll by)Answer:Many vehicles rolled by, but no one offered us a ride.3 .请勿践踏草地。(get off)Answer:Please get off the grass.4.他按妻子的吩咐,一下班就去了市场。(make ones way)Answer:
20、He made his way to the marketplace right after work, as his wife had asked him to do.5 .值得庆幸的是,史蒂夫 (Steve) 从自行车上摔下来时没有摔断骨头。(luckily)Answer:Luckily, Steve didnt break any bones when he fell off his bike.Unit51. 我们得把感情放在一边,从专业的角度来对待这件事。(from a professional standpoint)Answer:We have to put aside our em
21、otions and take it from a professional standpoint.2. 这部戏非常精彩,我很快就沉浸于激动人心的剧情之中。(lose oneself in)Answer:The play was so wonderful that I soon lost myself in the excitement of it.3 .她没有什么爱好除非你把看电视也算是一种爱好。(unless)Answer:She hasnt got any hobbies unless you call watching TV a hobby.4. 他说他是直接从市长本人那里得到这个信息
22、的。(first-hand)Answer:He said that he had got the information first-hand from the Mayor himself.5 .既然你不能回答这个问题,我们最好问问别人。(since)Answer:Since you cant answer the question, perhaps wed better ask someone else.1. 由于公共汽车司机突然刹车,旅客们都不由自主地向前摔倒。(brake, pitch forward)Answer:All the passengers pitched forward b
23、ecause the bus driver braked sharply.2. 这个协议将冲破对自由贸易设置的障碍。(break through, obstacle)Answer:This agreement will break through the obstacles to free trade.3 .我刚放下叫出租车的电话,车就来了。(soon after)Answer:The taxi arrived soon after I rang for it.4. 在过去,不管我什么时候到家,我父母总会等我。(no matter)Answer:My parents always waited
24、 up for me no matter what time I got home.5 .由于没有一方愿意让步,两个公司之间的对话完全破裂了。(break down)Answer:Talks between the two companies completely broke down, because neither of them wanted to give in.Unit61. 那件工作很难做,不过我想试试看。(have a shot)Answer:Its a difficult job, but Id like to have a shot.2. 这是一本关于商务实践而非理论的书。(
25、as opposed to)Answer:This is a book about business practice as opposed to theory.3. 社会活动从未耽误她的学习。(in the way)Answer:Social activities never get in the way of her studies.4. 直到1911年人们才发现第一种维生素。(It is not until . that)Answer:It was not until 1911 that the first of the vitamins was identified.5. 尽管年事已高
26、,爷爷每天还帮忙做家务。(despite)Answer:Despite advanced years, Grandpa helps do housework every day.1. 我们的婚姻很幸福,但我们也曾经历过许多坎坷。(ups and downs)Answer:Our marriage is happy but weve had many ups and downs.2. 许多外语教师常常在课堂上自顾自地讲得太多。(be inclined to)Answer:Many teachers of foreign languages are inclined to talk too muc
27、h themselves in class.3. 那位著名演员每天早晨锻炼一小时以保持健康。(work out)Answer:The famous actor keeps fit by working out for an hour every morning.4. 与他促膝长谈之后,她的怀疑消失了。(melt away)Answer:After a long heart-to-heart talk with him, her suspicion melted away.5. 目前我们没有职位空缺,但我们肯定会记住您的申请。(keep in mind)Answer:We have no vac
28、ancies now, but well certainly keep your application in mind.Unit71. 他并不后悔说过的话,只是觉得他完全可以不用这种方式表达。(could have done)Answer:He did not regret what he had said but felt that he could have expressed it differently.2. 我们最好等到12月14日。那时大卫已考完试,就能和我们一起去度假了。(will have done)Answer:Wed better wait till 14 Decembe
29、r. David will have had his exam by then, so hell be able to go on holiday with us.3. 他正在做一个新项目,年底前必须完成。(work on)Answer:Hes working on a new project which has to be finished by the end of the year.4. 他们让我们使用他们的实验室,作为回报,我们则让他们分享研究成果。(in return)Answer:They are letting us use their lab, and in return, w
30、e are sharing with them the results of our research.5. 诸如打电话、听电话一类的事情占用了这位秘书的大部分时间。(take up)Answer:Such things as making and answering telephone calls take up most of the secretarys time.1. 他们把房子卖了后就到加拿大和女儿住在一起。(go off) Answer:They sold their house and went off to live in Canada with their daughter.
31、2. 你下星期这个时候会在干什么?还是像平常一样干活。(will be doing)Answer:What will you be doing this time next week?Ill be working as usual.3. 他既聪明又勤奋,不久就接管了杂志的编辑工作。(editing; before long)Answer:He was intelligent and hard-working and before long he took over the editing of the magazine.4. 你话还没说完别人就挂断电话,难道你不恼火吗?(hang up)Answer:Dont you hate it when someone hangs up on you before you finish speaking?5. 让他们感到惊恐的是,他们的房顶着火了。(to ones horror)Answer:To their horror, the roof of their house caught fire.