新高三暑期训练4
高三培优补差定时7+4训练7
分推77. 在丹麦首都哥本哈根召开了世界气候大会，商讨《京都议定书》一期承诺到期后的后续方案，即2012年至2020年的全球减排协议，大会倡导“节能减排” 和“低碳经济” 的绿色环保主题，中国宣布了2020年二氧化碳排放量下降40～45%的减排目标。
下列不符合这一主题的是A．自备购物布袋，不用塑料方便袋B．给汽车安装尾气处理器C．推广煤的气化、液化技术，提供清洁燃料和化工原料D．开发新能源，如太阳能、风能等，减少对化石能源的依赖8．用N A表示阿伏加德罗常数，下列叙述正确的是A．46 g乙醇中含有的化学键数为7 N AB．1 mol OH—和1 mol —OH（羟基）中含有的质子数均为9 N AC．22.4L氯气和足量NaOH溶液反应转移电子数为N AD．0.1 mol•L-1 FeCl3溶液制成胶体,含有Fe(OH)3胶粒数一定小于0.1 N A9．下列叙述与对应图式正确的是A．由下列短周期元素性质的数据推断元素③最高价氧化物对应的水化物碱性最强B．表示H2燃烧热的化学方程式为：2H2(g)+O2(g)=2H2O(1)③H=—571.6kJ/molC．图甲表示Zn-Cu（稀硫酸）原电池反应过程中的电流强度的变化，T时可能加入了H2O2D．图乙表示某一放热反应，若使用催化剂E1、E2、③H都会发生改变10．解释下列现象的化学用语不正确的．．．．是A．磁性氧化铁溶于稀硝酸：Fe3O4＋8H+＋NO3－＝3Fe3+＋NO↑＋4H2OB．氢氧化镁白色沉淀溶于氯化铵溶液：Mg(OH)2＋2NH4+＝Mg2+＋2NH3·H2OC．向明矾溶液中滴加氢氧化钡溶液至SO42-完全沉淀：Al3+＋2SO42-＋2Ba2+＋4OH—＝2BaSO4↓＋AlO2—＋2H2OD．漂白粉溶液中加氯化铁溶液产生大量红褐色沉淀：Fe3+＋3ClO—＋3H2O＝Fe(OH)3↓＋3HClO 11．下表中所列的都是烷烃，它们的一卤取代物均只有一种，分析下表中各项的排布规律，按此规律排布第6项应为1 2 3 4 5 6 …… ……C 2H 6C 5H 12C 8H 18…………A ．C 14H 30B ．C 17H 36 C ．C 20H 42D ．C 26H 5412．已知温度T 时，水的离子积常数为K W ，该温度下将V 1mL a mol•L -1的一元酸HA 与V 2mL b mol•L -1的一元碱BOH 充分混合,下列判断一定正确的是A ．若V 1a =V 2b ，稀释此混合溶液时，溶液中各离子浓度一定都发生变化B ．若pH(HA)+ pH(BOH)=14，则V 1=V 2时，酸碱恰好完全中和C ．此混合液中：c (H +)+c (B +)≤c (OH —)+c (A —)D ．若混合溶液中c (OH —Kw mol•L -1，则此溶液一定呈中性13．某有机物X 的结构简式如下图所示，下列有关说法中正确的是 A ．X 的分子式为C 12H 16O 3B ．X 在一定条件下能发生加成、缩聚、取代、消去等反应C ．在加热Ni 作催化剂的条件下，1 mol X 最多能与4 mol H 2加成D ．可用酸性重铬酸钾溶液区别甲苯和有机物X27、多硫的化合物有多硫化钠(Na 2S x )、硫代硫酸钠(Na 2S 2O 3)、过二硫酸钠(Na 2S 2O 8)和连二亚硫酸钠(Na 2S 2O 4)等，在印染、造纸和医学等方面起着重要作用。
高三英语尖子生训练题(第四套)
高三英语尖子生训练题（第四套）高三英语尖子生训练题(第四套)I.单项填空:1. —Can Li Hua help me with my English?—I regret to tell you her English is_______ yours．A．as good asB．no more thanC．not betterthanD．as much as2. —Can you give me the right answer?—Sorry,I _______．Would you repeat that question?A．hadn’tlistenedB．haven’tlistenedC．don’t listenD．wasn’t listening3. You shouldn’tkeep silent when _______．A．speaking B．spoken to C．spoken D．speaking to4. This bookis said to be a special one,which _______ many events not found in other history books．A．writesB．coversC．printsD．reads5. You have notyet answered my question _______ I can join in the party tonight．A．whetherB．ifC．whichD．that6. Which do youenjoy _______ your weekends,fishing or watching TV?A．spendingB．to spendC．being spent D．spend7. It’s clearthat____little money he earns can hardly support____family as large as his .A．the ;aB．a ;the C．不填;a D．不填;the8. It seems to me that no reason____you gave us for your mistake is sound .A．what B．why C．which D．that9. The falling of the new building ____ its soft base .A．resulted in B．suffered from C.led toD．lay in10. Does this novel give you good _________for your money?A. worthB. costC. valueD. price11. In each house there is a family groupof men, _________ are related toeach other.A. all whoB. allC.of whom D. all ofwhom12. _________ that my head had cleared, mybrain was also beginning to workmuch better.A. ForB. NowC. SinceD. So13. _________ , there was no mistaking thatshe was displeased.A. As her wordswere gently spoken B. Spoken as her words were gentlyC. Were as her words gently spokenD. Gently as her words were spoken14. It is impossible for anyone _________ thesephotographs before, because Mr. Newman had them developed today.A. having seenB. to have seenC. to seeD. seeing15.That _________ surprising in the past.A. wereconsidered B.are consideredC. had beenconsidered D.would have been considered16. The result of the footballmatch was 2 to 2, ____ the satisfaction of both teams.A. withB.for C.at D.to17. We ____ a pleasant journey but for the rain.A. would haveB. will haveC. had hadD. would have had18. The day we have been looking forward to____ at last.A. comeB.coming C. came D.has come19. Never ____ time come again.A. has lostB.will lose C. will lost D. lose20. Have you noticed the man, ____ walking with his dog over there? That’s a spy.A. heB.one C.who D.the one21. ____ the books we have got, we need some ten more.A. WithB.E_cept C.Unless D.Besides22. ---You’re not going out today, are you?---____________. I need to go shopping.A. Yes, I amB.No, I’m not C. Yes, I’m mot D. No, I am23. I’d like to read at home ____ going to a film in such a cold, rainy day.A. butB.to C.instead D. ratherthan24. --- C an you tell me something more aboutMike Smith’s adventure?--- Sorry, I know ____ about that _____ I have told you.A. anything more; e_cept thatB.something more; e_ceptC. nothing more; e_cept whatD.only a little more; than25. It is said that there ____ a concert this Saturday. Do you want to go?A. is going to haveB.will haveC. is going to beD.will be having26. I found the book I ____ I ____ in theoffice! What a happy afternoon!A. think; have lostB. thought; had lostC. thought; lostD. thought; to have lost27. What if we meet with a situation ____ we won’t be able to deal with?A. whereB. in whichC. whatD. that28. --- ____ you _____ to Beijing?--- Yes, I ____ there four years ago.A. Have; been; wentB.Did; go; have beenC. Have; gone; wentD. have; been; had gone29. The table ____ in the corner has a ____ leg. You can’t use it.A. standing; breakingB.stood; brokenC. standing; brokenD.stood; breaking30. Such a little child as you ____ ticketfor the car show.A. don’t needB. doesn’tneed C. needn’t D. needs noII．完型填空The eyes are one of the most e_pressive instruments of body language. Keith, seventeen, from Montclair New Jersey, leamed the hard way about one (31) the eyes can make. ;I had a ( 32 ) who graded heavily on classroom discussion,; Keith says.;He seemed to have a strong ( 33) to know justwhen I didn’t have the (34). I couldn’t figure out how he could be so ( 35).Then it dawned on me.Whenever I didn’t know theanswer, I would (36) looking at him. When I did know what to say, I always ( 37) straight back at him. From that moment on, I ( 38 ) myself to look him in the eye, ( 39 ) I knew the work or not. That trick has( 40 ) me a lot of trouble.;Many people, including somepolicemen, believe eye contact is a good( 41) of honesty. If someone can’t look you directly in the eye,then he or she is not playing ( 42 ) ,they insist. After many e_periments, however, however, a number ofe_perts have found out that good liars can make( 43 ) eye contact. Eye contact,though not a ( 44 ) sign of dishonesty, is a clear way to show interest inanother person. When a person looks at you and ( 45 ) to do so, you know his(46 ) is placed onyon. When he turns his head away, his mind is probably ( 47) .But there aree_ceptions. A ( 48 ) personmay have trouble making and keeping eye contact, no matter how interested he is in the other person. Andcertain ( 49 ) ,such as the British and Germans, are much( 50 ) oriented (适应) to eyeball-to-eyeball contactthan, say, the French and the Arabs.31. A. letter B.notice C.message D.news32. A. student B.headmaster C. friend D. teacher33. A. ability B.body C. mind D. way34. A. question B.problem C. e_cuse D. answer35. A. slow B.sharp C. dull D. clever36. A. avoid B. enjoy C. like D. hate37. A. helped B. glanced C. saw D. stared38. A. helped B.forced C. taughtD. persuaded39. A. when B.whether C. if D. as40.A. saved B.given C.increased D. lost41. A. lesson B.way C. chanceD. test42.A. honestly B.quickly C.correctly D.especially43. A. real B. terrible C. fair D. false44. A. real B.e_act C. wonderful D. sure45.A. stops B. continues C. changes D. hopes46.A. attention B.spirit C. strength D. energy47. A. anywhere B. nowhere C .elsewhere D. everywhere48. A. brave B. shy C. stupid D. proud49.A.nationalities B. cities C. countries D. languages50.A. more B. less C. too D. enough第三部分:阅读理解(共20小题;每小题2分,满分40分)阅读下列短文,从每题所给的四个选项(A.B.C.D)中,选出最佳选项.ASuppose you work in a big firm and find English very important for your jobbecause you often deal with foreign businessmen. Now you are looking for aplace where you can improve your English, especially your spoken English.Here are some advertisements about English language training from newspapers.You may find the information you need.Global English Center●General Engl ish in all four skills: listening, speaking, reading and writing.●3-month(700 yuan),6- month( 1,200 yuan)and one- year(2,000yuan)courses.●Choice of morning or evening classes. 3 hours per day, Mon. - Fri.●E_perienced college Engl ish teachers.●Close to city center and bus stops.Tel: Add: 105 Zhongshan Road, 100082Modern Language School●Special courses in English for business, travel, banking, hotel management andoffice skills.●Sm all classes(12 - 16 students) on Sat._amp; Sun. from 2:00—5:00 pm.●Native English teachers from Canada and USA.●3-month course: 1,050 yuan; 6- month course: 1,850 yuan.Write or phone: Modern Language School, 675 Park Road, 100056 Te1: The 21sh Century English Training Centre.●We specialize in effective teaching at all levels.●We offer morning or afternoon classes, both of which last three months and ahalf at a cost of 800 yuan.●We also have a si_ - week TOEFL preparation class during winter and summer holidays.●Entrance e_ams: June 1 and Dec. 1.●Only 15 - minute walk from city center.Call for more informationThe International House of English●There/Si_- month English courses for students of all levels at very low cost:60 yuan for 12hours per week; convenient class hours: 9: 00—12: 00 a.m.. and 2: 00—5: 00 p.m.●A four- month evening program for developing speaking skills(same cost as dayclasses).●Well- trained Chinese and foreign teachers e_perienced in teaching English asa second/ foreign language.●Free sightseeing and social activities.●Very close to the Central Park.For further information call51. You work from 9: 00 a: m. to 4: 30 p.m. every day. Which schools will youchoose?A. Global English Center and Modern Language School.B. Global English Center and the International House.C. Modern Language School and the 21th Century.D. The 21th Century and the International House.52. The 21th Century is different from the other three schools inthat .A. its teaching quality is betterB.it is nearest to the city centerC. its courses are mere advancedD.it requires an entrance e_amination53. You will probably prefer to go to the International House because it .A. offers free sightseeing and social activitiesB. has a special course inspoken EnglishC. costs less than the other schoolsD. has native English teachers54. If you take the evening program at the International House, you will payabout_________.A. 60 yuanB. 240 yuanC. 720 yuanD. 1,000 yuanBA good modern newspaper is ane_traordinary piece of reading. It is remarkable first what it contains: therange of news from local crime (犯罪)to international politics, from sports to business to fashion to science, andthe range(范围)of comment and special features(特写)as well, from editorial page to featurearticles, from interviews to criticism of books, art, theatre, and music. Anewspaper is even more remarkable for the way one reads it never completely, never straight through, but always by jumping from here to there, in andout,glancing at one piece, reading another article all the way through, reading just a few paragraphs of the ne_t. A good modern newspaper offers a variety toattract many different readers, but far more than any one reader is interestedin. what brings this variety together in one place is its topicality(时事性), its immediate relation to what ishappening in your world and your locality now. But immediacy and the speed ofproduction that goes with it mean also that much of what appears in a newspaperhas no more than transient(短暂的)value.For all these reasons, not two people really read the same paper: what each person does is to put together, out of the pages of that day’ s paper, his ownselection and sequence (顺序),his own newspaper. For all these reasons, reading newspapers efficiently which meansgetting what you want from them without missing things you need but without wasting time, demands skill and self- awareness(意识)as you modify(改变)and apply the techniques ofreading.55. A modern newspaper is remarkable for all the following e_ceptits________.A. wide coverageB. uniform styleC. speed in reporting newsD. popularity56. According to the passage, the reason why no two people really read the 〝same〞newspaper is that________.A. People scan for the news they are interested inB. different people prefer different newspapersC. people are rarely interested in the stone kind of newsD. people have different views about what a good newspaper is57. It can he concluded from the passage that newspaper readers________.A. apply reading techniques skillfullyB. jump from one newspaper to anotherC. appreciate the variety of a newspaperD. usually read a newspaper selectively(有选择性地)58. A good newspaper offers 〝a variety〞 to readers because________.A. it tries to serve different readersB. it has to cover things that happen ina certain localityC. readers are difficult to pleaseD. readers like to read different newspapers59. The best title for this passage would be________.A. The Importance of Newspaper TopicalityB. The Characteristics of a Good NewspaperC. The Variety of a Good NewspaperD. Some Suggestions on How to Read a NewspaperCIn bringing upchildren, every parent watches eagerly the child’s acquisition (学会) of each new skill- the first spoken words,the first independent steps, or the beginning of reading and writing. It isoften tempting(诱惑)to hurry the child beyond hisnatural learning rate, but this can set up dangerous feelings of failure andstates of worry in the child. This might happen at any stage. A baby might beforced to use a toilet too early, a young child might be encouraged to learn toread before he knows the meaning of the words he reads. On the other hand, though, if a child is left alone too much, or without any learningopportunities(机会), he loses his natural enthusiasm(热情)for life and his desire to find out newthings for himself.Parents vary greatly in their degree of strictness towards their children. Somemay he especially strict in money matter, others are severe over times of coming home at night or punctuality(及时)formeals. In general, the controls imposed(施加的)represent(代表)the needs of the parents and the values ofthe community as much as the child’s own happiness.As regards the development ofmoral standards in the growing child, consistency(一致性)is very important in parental teaching. Toforbid a thing one day and e_cuse it the ne_t is no foundation for morality(道德). Also, parents should realize that e_ampleis better than percept (认知)〞.If they are not sincere and do not practise what they preach(说教), their children may grow confused andemotionally insecure(不确定)when they grow old enough tothink for themselves, and realize they havebeen to some e_tent fooled.A sudden awareness of a marked difference between their parents’principles andtheir morals can he a dangerous disappointment.60. Eagerly watching the child’s acquisition of new skills________.A. should be avoidedB. is universal(普遍的)amongparentsC. sets up dangerous states of worry in the childD. will make him lose interest in learning new things61. In the process of children’ s learning new skills parents________.A. should encourage them to read before they know the meaning of the words theyreadB. should e_pect much of themC. should achieve a balance between pushing them too hard and leaving them ontheir own.D. should create as many learning opportunities as possible.62. The second paragraph mainly tells us that________.A. parents should be strict with their childrenB. parental controls reflect only the needs of the partents and the values ofthe communityC. parental restrictions vary, and are not always enforced for benefit of thechildren aloneD. parents vary in their strictness towards their children according to thesituation63. In moral matters, parents should________.A. observe the rules themselvesB. be aware of the marked difference between adults and childrenC. forbid things which have no foundation in moralityD. consistently ensurethe security of their childrenDThe report came to theBritish on May 21,1941. The German battleship Bismarck, the most powerful warship in the world, was moving out into the Atlantic Ocean. Her task: todestroy the ships carrying supplies from the United States to war- torn English.The British had feared such a task. No warship they had could match the Bismarck in speed or in firepower. The Bismarck had eight 15 - inch guns and 81smaller guns. She could move at 30 nautical(航海的)milesan hour. She was believed to be unsinkable.However, the British had to sink her. They sent our a task force headed bytheir best battleship Hood to hunt down the Bismarck. On My 24, the Hood foundthe Bismarck.It was a meeting that the German commander Luetjens did not want to see. Hisorders were to destroy the British ships that were carrying supplies, but tostay away from a fight with British warships.The battle didn’t last long. The Bismarck’s first torpedo(鱼雷)hit the Hood, which went town taking all butthree of her 1,419 men with her.But in the fight, the Bismarck wasslightly damaged. Her commander decided to run for repairs to France, which hadat that time been taken by the Germans. The British force followed her. However, because of the Bismarck’ s speed and the heavy fog, they lostsight ofher.For two days, every British ship in the Atlantic tried to find the Bismarck, but with no success. Finally, she was sighted by a plane from Ireland. Tryingto slow the Bismarck down so that their ships could catch up with her, the British fired at her from the air. The Bismarck was hit.On the morning of May 27, the last battle was fought. Four British ships firedon the Bismarck, and she was finally sunk.64. The Bismarck sailed into the Atlantic Ocean________.A. to sink the HoodB. to gain control of FranceC. to cut off American supplies to BritishD. to stop British warships reachingGermany65. We learn from the te_t on 24 May________.A. the British won the battle against the BismarckB. the Bismarck won the battle against the BritishC. The British gunfire damaged the Bismarck seriouslyD. the Bismarck succeeded in keeping away from the British66. Luetjens tried to sail to France in order to________.A. have the ship repairedB. join the other GermansC. get help from the FrenchD. get away from the British67. Which of the following is the immediate cause of the sinking of the Bismarck?A. The British air strikes.B. The damage done by the Hood.C. Gunfire from the British warships.D.Luetjens’ decision to run for France.ESocial change is more likelyto occur in societies where there is a mi_ture of different kinds of people than in societies where people are similar in many ways. The simple reason forthis is that there are more different ways of looking at things present in thefirst kind of society. There are more ideas, more disagreements in interest,and more groups and organizations with different beliefs. In addition(此外), there is usually a greater worldlyinterest and greater tolerance(容忍)inmi_ed societies. All these factors tend to promote social change by opening more areas of life to decision. In a society where people are quite similar inmany ways, there are fewer occasions for people to see the need or the opportunity(机会)for change because everythingseems to be the same. And although conditions may not be satisfactory, they areat least customary and undisputed(明白的).Within a society,social change is also likely to occur more frequently and more readily in thematerial aspects(方面)of the culture than in the non-material, for e_ample, in technology rather than in values; in what has beenlearned later in life rather than what was learned early, in the less basic andless emotional aspects of society rather than in their opposites; in the simpleelements rather than in the comple_(复杂的)ones; form rather than in substance(物质);andin elements(元素)that are acceptable to theculture rather than in strange elements.Furthermore, social change is easier if it is gradual. For e_ample, it comesmore readily in human relations on a continuous scale(规模)rather than one with sharp dichotomies(一分成). This is one reason why change has not come more quickly to Black Americans as compared to other American minorities, because of the sharp difference in appearance between them and their white counterparts.68. The passage is mainly discussing________.A. two different societiesB. the necessity of social changeC. certain factors that determine the ease(容易)withwhich social changes occurD. certain factors that promote social change________.69. According to the passage, which of the following is NOT true?A. Social change tends to meet with more difficulty in basic and emotional aspects of society.B. Disagreement with and argument about conditions tends to slow down socialchange.C. Social change is more likely to occur in the material aspect of society.D. Social change is less likely to occur in what people learned when they wereyoung.70. Social change is less likely to occur in a society where people are quitesimilar in many ways because________.A. people there have got so accustomed(习惯于)to their conditions that they seldom think it necessary to changeB. people there have identical needs that can be satisfied without much difficultyC. people there are easy to pleaseD. people there are less disputatious(好争辩的)第四部分:写作(共两节,满分35分)第一节:短文改错(共10小题;每小题1分,满分10分)A.There are any very good thingsabout open education. This way 76________of teaching allows the students to grow as people, and develop77.________their own interests in many subjects. Open education allow students 78.________to be responsible (负责)for his own education, as theyare 79.________responsible for that they do in life. Some students80.________do bad in a traditional(传统的)classroom.The open classroom may 81.________allow them to enjoy learning. Some students will be happy in an open 82.________educational school than in a traditional classroom. They will not have 83.________to worry about grades or rules. For students worry about these things 84.________a lot of, it is a good idea to be in an open classroom.85.___B.Dear editor,My name isLi Hua, a boy student in Senior Three.76.Recently I’ve readShanghai Students’ Post that77.you need somestudents reporters. I am an_ious to 78.be one of you. Ilike English. I have been79.learned it sinceeight years ago. Now I can talk80.freely withforeigners with English. I can read China81.Daily. I took afirst place in an English competition82.contest. Besides,I do well in a computer competition83.Would you be tookind as to accept me? I’m looking84.forward to hearingfrom you soon. I do hope to join in you. 85. Yours ever,Li Hua第二节:书面表达(满分25分)假设你的英文名为Jack,是英国诺丁汉大学的中国留学生.你负责为在该校就读的32名中国学生筹划圣诞节期间的苏格兰之行,为期7天,请你给诺丁汉的STA(Students’Travel Agency)经理Phil发一封电子邮件,联系有关事宜.要点如下:(1)希望能够派车接送;(2)需要一名说标准英语,并非常熟悉苏格兰的导游;(3)请求告知旅行日程及就餐.旅馆.费用等情况;(4)你的联系方式:电子邮箱地址:或电话号码:注意:(1)词数:100词左右;(2)开头和结尾已为你写出,不计入总词数;(3)参考词汇:旅馆住宿accommodation;旅行日程安排itinerary;长途客车coach发件人:收件人:〝ManagerNottingham King St〞_lt;Manager. NottinghamKing _gt;日期:Fri, 5 Dec_ 11:29主题:A Trip toScotlandHi, Phil,I’d like you to organize a trip to Scotland for us.单选1-5CDBBA 6-10BADDC 11-15DBDBD16--- 20 D D D C D 21--- 25 D A D C C26 --- 30 B D A C D完型36-45 CDADB ADCBA 46-55 DADDBACBAB阅读56-60BDBDB 61-65 ADABB 66-70CCACB 67-75ACCBA改错(A)76. any∧→some77. and∧ → to78. allow→ al lows 79. his→ their80. that→ what 81.bad→badly82.happy→happier83.√84.students∧→who/worrying85.of去掉(B)76．正确77．read 后加in 78．students→student79．you→them 80．learned→learning81．第二个with→in82．a→the83．do→di d 84．too→so85．in去掉Hi, Phil,I’d like you toorganize a trip to Scotland for us. I have here a group of32 Chinesestudents studying in Nottingham University, who want to go on aseven-day tourduring the Christmas days. I hope we can have a coach whichwill take us toScotland and then bring us back to Nottingham. We alsoneed a guide whospeaks standard English and knows Scotland well. I wouldbe very gratefulif you can work out an itinerary as soon as possible andtell me aboutour accommodation, meals as well as how much each of us hasto pay. If youhave any information, please either email me or call me at .Looking forwardto your early reply.Yours Truly.Jack。
高三专题训练：8+4提速题专练4
瑞安五中高三“8+4”提速题专练（4）一、 选择题：1．设集合S ＝{x |3＜x ≤6}，T ＝{x |x 2－4x －5≤0}，则S ∪T ＝A ．[－1，6]B ．(3，5]C ．(－∞，－1)∪(6，＋∞)D ．(－∞，3]∪(5，＋∞) 2．已知i 是虚数单位，则 (3－i) (2＋i)＝A ．5＋iB ．5－iC ．7＋iD ．7－i3．已知a ，b ∈R ，则“b ≥0”是“a 2＋b ≥0”的A ．充分不必要条件B ．必要不充分条件C ．充分必要条件D ．既不充分也不必要条件4．若函数y ＝sin 2x 的图象向左平移π4个单位得到y ＝f (x )的图象，则A ．f (x )＝cos 2xB ．f (x )＝sin 2xC ．f (x )＝－cos 2xD ．f (x )＝－sin 2x 5．已知α，β，γ是三个不同的平面，α∩γ＝m ，β∩γ＝n ．A ．若m ⊥n ，则α⊥βB ．若α⊥β，则m ⊥nC ．若m ∥n ，则α∥βD ．若α∥β，则m ∥n6．从1，2，3，4这四个数字中依次取(不放回)两个数a ，b ，使得a 2≥4b 的概率是A ．31B ．512 C ．21D ．7127．若某几何体的三视图(单位：cm)如图所示，则该几何体的体积等于A ．10 cm 3B ．20 cm 3C ．30 cm 3D ．40 cm 38．若正数x ，y 满足x 2＋3xy －1＝0，则x ＋y 的最小值是A ．32 B ．322 C ．33 D ．332 9．如图，A ，F 分别是双曲线2222C 1 (0)x y a b a b-=：，＞的左顶点、右焦点，过F 的直线l 与C 的一条渐近线垂直且与另一条渐近线和y 轴分别交于P ，Q 两点．若AP ⊥AQ ，则C 的离心率是ABCD俯视图(第7题图)10．设a ，b 为单位向量，若向量c 满足|c －(a ＋b )|＝|a －b |，则|c |的最大值是A ．1 BC ．2D ．二、 填空题：11．某篮球运动员在5场比赛中得分的茎叶图如图所示，则这位球员得分的平均数等于________．12．已知a ，b ∈R ，若4a ＝23－2b ，则a ＋b ＝________．13．若某程序框图如图所示，则该程序运行后输出的值等于________．14．设x ，y ∈R ，若不等式组 320,220,10x y x y ax y -+≥⎧⎪--≤⎨⎪-+≥⎩所表示的平面区域是一个锐角三角形，则a 的取值范围是 ．15．已知点O (0，0)，A (2，0)，B (－4，0)，点C 在直线l ：y ＝－x上．若CO 是∠ACB 的平分线，则点C 的坐标为________． 16．设A (1，0)，B (0，1)，直线l ：y ＝ax ，圆C ：(x －a )2＋y 2＝1．若圆C 既与线段AB 又与直线l 有公共点，则实数a 的取值范围是________．17．已知t ＞－1，当x ∈[－t ，t ＋2]时，函数y ＝(x －4)|x |的最小值为－4，则t 的取值范围是________．姓名： 班级： 得分：(第13题图)(第11题图)0 9 1 2 5 6 2 3一、选择题: 本题考查基本知识和基本运算。
2025年高考语文一轮复习强化训练 专题4 古代诗歌阅读(2024版)
2025年高考语文一轮复习强化训练专题4 古代诗歌阅读一、高考真题（2024·甲卷）阅读下面这首宋诗，完成下面小题。
次韵①钱逊叔泛舟虹桥吕本中半篙春涨绿平溪，二月江城草色齐。
舟比蜉蝣千顷外，□同斥鷃一枝栖②。
野桥柳线斜风软，曲槛花光夕照低。
却讶探骊②人不至，清樽画舫倩分题②。
[注]①次韵：依次用所和诗中的韵作诗。
②本句首字原缺。
③探骊：这里指精通写诗作文。
④分题：诗人聚会，分题目而赋诗。
1．对这首诗的理解和赏析，不正确的一项是（）A．诗歌开篇写春水、草色，围绕色彩落笔，营造出一种愉悦的情感氛围。
B．春水新涨，水面辽阔宽广，在波间漂浮的船只显得如同蜉蝣一样细小。
C．斥鷃于《庄子·逍遥游》，用来与鹏做对比，因此诗中缺字应是“鹏”。
D．诗歌的尾联写到了“分题”，以此收束，与题目中的“次韵”形成照应。
2．颈联中“软”“低”二字的使用取得了很好的艺术效果，请简要赏析。
（2024·新课标Ⅰ卷）古代诗歌阅读。
阅读下面这首宋诗，完成小题。
宿千岁庵听泉刘克庄因爱庵前一脉泉，襆衾来此借房眠。
骤闻将谓溪当户，久听翻疑屋是船。
变作怒声犹壮伟，滴成细点更清圆。
君看昔日兰亭帖，亦把湍流替管弦。
3．下列对这首诗的理解和赏析，不正确的一项是()A．诗的开头交代，诗人之所以会到千岁庵借宿，是出于对庵前泉水的喜爱。
B．诗歌主要是从听觉的角度来描写泉流，与题目中的“听泉”二字相切合。
C．诗人雅趣与古人相通，在听泉的时候，联想到昔日曲水流觞的兰亭雅集。
D．诗人与兰亭诸贤一样，都把对音乐之美的追求寄托于山水而摒弃了乐器。
4．诗中以对比的方式，对泉声进行了生动的描写，请结合相关内容简要赏析。
（2024·新课标国Ⅰ卷）阅读下面古诗词，完成小题。
雨后为山亭独卧叶梦得②过雨虚檐气稍清，卧闻刁斗起连营。
几看薄月当轩过，惊见阴虫绕砌鸣②。
汹汹南江浮静夜，寥寥北斗挂高城。
白头心事今如许，惭愧儿童话请缨。
[注]①叶梦得：南宋文学家，曾致力于抗金防备及军饷勤务。
学科网2024届高三4月大联考(新课标卷)数学全解全析及评分标准
2024届高三4月大联考（新课标卷）数学·全解全析及评分标准阅卷注意事项：1．阅卷前请各学科教研组长，组织本学科改卷老师开会，强调改卷纪律，统一标准。
2．请老师改卷前务必先做一遍试题，了解自己所改试题的答案、评分细则、答题角度后，再开始改卷。
3．请老师认真批阅，不可出现漏改、错改现象，如果不小心漏改或错改了，可以返回上一题重评。
4．成绩发布后，如果有学校反馈错评乱评，平台定位阅卷老师，进行通报批评。
5．解答题要在学生的答案中找寻有用的文字说明、证明过程或演算步骤，合理即可给分。
6．解答题不要只看结果，结果正确，但中间的文字说明、证明过程或演算步骤无法建立有效衔接的，不能给满分；同样，结果错误，但正确写出相应的文字说明、证明过程或演算步骤应给分，因第(1)问中结果算错，使后面最终结果出错(过程列式正确)，不宜重复扣分。
7．阅卷平台出现的相关问题，如果刷新页面重新登录未能解决，请将问题反馈给学校负责技术的老师(或考试负责人），由其统一在技术QQ 群里反馈问题并协助解决。
一、选择题：本题共8小题，每小题5分，共40分。
在每小题给出的四个选项中，只有一项是符合题目要求的。
1．B 【解析】由题意，知{0,1}A ，{1,0,1}B ，所以{0,1}A B ．故选B ．2．C 【解析】因为点(32,2)M p p 在抛物线C 上，所以2(32)2(2)p p p ，整理，得271640p p ， 解得2p 或27p．故选C ． 3．A 【解析】由||3||2 a b ，得2||||||23 a b a .由2()32 a a a b ，得222|||33| a a a b ，所以2|1|3a b a ， 所以1cos ||||2a b a b ．因为[0,π] ，所以 2π3．故选A ． 4．C 【解析】因为数据1234,,,x x x x 的平均数为x ，方差为2s ，所以414i i x x ，4221()4i i x x s ，所以数据1234,,,,x x x x x 的平均数为45x xx ，方差为4221(()5ii xx x x245s .故选C. 5．A 【解析】因为781a a ，所以780a a ，所以695100a a a a . 因为10456789100S S a a a a a a ，所以104S S .故选A.6．D 【解析】易知函数()f x 的最大值为4.设()f x 的最小正周期为T ，依题意，得2224()254TMN ，解得12T ，所以2π12，解得π6，所以π()4cos()6f x x .又点9(,0)4N 在函数()f x 的图象上，所以9π9(4cos()0464f ，结合图象，知π9π642 ，解得π8 ，所以ππ()4cos()68f x x ，所以5π5ππ()4cos()4cos 246483f ．故选D ．7．A 【解析】由题意，知双曲线C 的渐近线方程为0bx ay . 设双曲线C 的半焦距为c ，则右焦点(,0)F c 到渐近线的距离||DF b．设点00(,)E x y ,则2200221x y a b,即22222200b x a y a b .又||||DE EG=222a b c,所以2222||||11||3DE EG a DF c e ,解得e ．故选A. 8．B 【解析】由题意，知4为函数()y f x 的一个周期且函数()f x 的图象关于直线2x 对称． 当[0,2]x 时，由函数()y f x 的解析式，画出函数()f x 的大致图象如图所示． 当(0,1)x 时，函数()y f x 的图象与函数|lg |y x 的图象有且仅有一个交点；当[1,10]x 时，总有()1f x ．而函数|lg |y x 在区间[1,10]上单调递增且|lg10|1 ，5(10)(2)12f f ，所以函数()y f x 的图象与函数|lg |y x 的图象在区间[1,10]上没有交点． 综上，函数()()|lg |F x f x x 在区间(0,10]上的零点个数为1．故选B ．二、选择题：本题共3小题，每小题6分，共18分。
高三二轮复习选填满分“8+4+4”小题强化训练第5练(原卷及答案)(新高考专用)
高三二轮复习选填满分“8+4+4”小题强化训练(5)一、单项选择题：本题共8小题，每小题5分，共40分．在每小题给出的四个选项中，只有一项是符合题目要求的．1.设R U =，已知两个非空集合M ，N 满足∅=⋂N C M U ，则（）A．RM N ⋂=B．M N⊆C．N M⊆D．RM N ⋃=2.已知,,R a b c ∈，那么下列命题中正确的是（）A．若a b >，则22ac bc >B．若a bc c>，则a b >C．若a b >且0ab <，则11a b>D．若22a b >，则11a b<3.函数2()()log xxf x e e x -=+的图象大致是（）A. B.C. D.4.欧拉公式i e cos isin (i x x x =+为虚数单位)是由瑞士著名数学家欧拉发现的，它将指数函数的定义域扩大到复数，建立了三角函数和指数函数的关系，在复变函数论里占有非常重要的地位，被誉为“数学中的天桥”，已知i a e 为纯虚数，则复数sin211ia ++在复平面内对应的点位于（）A．第一象限B．第二象限C．第三象限D．第四象限5.良渚遗址位于浙江省杭州市余杭区瓶窑镇、良渚街道境内.1936年浙江省立西湖博物馆的施昕更先生首先在浙江省杭州市良渚镇一带发现．这里的巨型城址，面积近630万平方米，包括古城、水坝和多处高等级建筑．国际学术界曾长期认为中华文明只始于距今3500年前后的殷商时期，2019年7月6日，中国良渚古城遗址被列入世界遗产名录，这意味着中国文明起源形成于距今五千年前，终于得到了国际承认！2010年，考古学家对良渚古城水利系统中一条水坝的建筑材料（草裏泥）上提取的草茎遗存进行碳14年代学检测，检测出碳14的残留量约为初始量的55.2%．已知经过x 年后，碳14的残余量(1)(,0,01;0)x y k p k k p x =-∈><<R ，碳14的半衰期为5730年，则以此推断此水坝大概的建成年代是（）．（参考数据：2log 0.5520.8573≈-）A．公元前2893年B．公元前2903年C．公元前2913年D．公元前2923年6.已知12,F F 为椭圆1C ：2222111x y a b +=(110>>a b )与双曲线2C ：2222221x y a b -=(220,0a b >>)的公共焦点，点M 是它们的一个公共点，且123F MF π∠=，12,e e 分别为1C ，2C 的离心率，则12e e 的最小值为（）A．2C．2D．37.三棱锥P ABC-的所有顶点都在球O 的球面上.棱锥P ABC-的各棱长为：2PA =，3,4,5,PB PC AB BC AC =====，则球O 的表面积为（）A.28πB.29πC.30πD.31π8.已知0.40.7e ,eln1.4,0.98ab c ===，则,,a b c 的大小关系是（）A．a c b >>B．b a c>>C．b c a>>D．c a b>>二、多项选择题：本题共4小题，每小题5分，共20分．在每小题给出的选项中，有多项符合题目要求,全部选对的得5分，有选错的得0分，部分选对的得3分．9.千百年来，我国劳动人民在生产实践中根据云的形状、走向、速度、厚度、颜色等的变化，总结了丰富的“看云识天气”的经验，并将这些经验编成谚语，如“天上钩钩云，地上雨淋淋”“日落云里走，雨在半夜后”……小波同学为了验证“日落云里走，雨在半夜后”，随机观察了他所在地区的100天中的“日落云里走”的情况和后半夜天气情况，得到如下数据，后半夜天气情况“日落云里走”的情况下雨未下雨总计出现25530未出现254570总计5050100并计算得到219.05χ≈，则小波对该地区天气的判断正确的是（）A.后半夜下雨的概率约为12B.未出现“日落云里走”时，后半夜下雨的概率约为59C.有99%的把握认为“‘日落云里走’是否出现”与“后半夜是否下雨”有关D.若出现“日落云里走”，则后半夜有99%的可能会下雨10.如图的形状出现在南宋数学家杨辉所著的《详解九章算法·商功》中，后人称为“三角垛”.“三角垛”最上层有1个球，第二层有3个球，第三层有6个球，….设第n 层有n a 个球，从上往下n 层球的总数为n S ，则（）A.535S =B.1n n na a +-=C.1(1)2n n n n S S -+-=，2n ≥ D.1231001111200101a a a a ++++= 11.已知函数()()()sin 0,f x x ωϕωϕ=+>∈R 在区间75,126ππ⎛⎫⎪⎝⎭上单调，且满足73124f f ππ⎛⎫⎛⎫=- ⎪ ⎪⎝⎭⎝⎭有下列结论正确的有（）A．203f π⎛⎫=⎪⎝⎭B．若()56f x f x π⎛⎫-=⎪⎝⎭，则函数()f x 的最小正周期为π；C．关于x 的方程()1f x =在区间[0,2)π上最多有4个不相等的实数解D．若函数()f x 在区间213,36ππ⎡⎫⎪⎢⎣⎭上恰有5个零点，则ω的取值范围为8,33⎛⎤ ⎥⎝⎦12.已知正方体1111ABCD A B C D -的棱长为2，动点F 在正方形11CDD C 内，则（）A.若1C F ⊥平面1A CF ，则点F 的位置唯一B.若1//B F 平面1A BD ，则1B F 不可能垂直1CD C.若()112BF BC BD =+，则三棱锥11-F B CC 的外接球表面积为4πD.若点E 为BC 中点，则三棱锥11A AB E -的体积是三棱锥1-A FA B 体积的一半三、填空题：本题共4小题，每小题5分，多空题，第一空2分，第二空3分，共20分．13.若随机变量1~,3X B n ⎛⎫ ⎪⎝⎭，且()*N E X ∈，写出一个符合条件的n =___________.14.九龙壁是中国古代建筑的特色，是帝王贵族出入的宫殿或者王府的正门对面，是权力的象征，做工十分精美，艺术和历史价值很高．九龙壁中九条蟠龙各居神态，正中间即第五条为正居之龙，两侧分别是降沉之龙和升腾之龙间隔排开，其中升腾之龙位居阳位，即第1，3，7，9位，沉降之龙位居2，4，6，8位．某工匠自己雕刻一九龙壁模型，为了增加模型的种类但又不改变升腾之龙居阳位和沉降之龙的位置，只能调换四条升腾之龙的相对位置和四条沉降之龙的相对位置，则不同的雕刻模型有______种（用数字作答）．15.定义在()0,∞+上的函数()f x 满足：对()12,0,x x ∀∈+∞，且12x x ≠，都有()()2112120x f x x f x x x ->-成立，且()24f =，则不等式()2f x x>的解集为__________．16.已知椭圆2222:1(0)x y C a b a b+=>>，C 的上顶点为A ，两个焦点为1F ，2F ，离心率为12．过1F 且垂直于2AF 的直线与C 交于D ，E 两点，ADE V 的周长是13，则DE =_____．高三二轮复习选填满分“8+4+4”小题强化训练(5)一、单项选择题：本题共8小题，每小题5分，共40分．在每小题给出的四个选项中，只有一项是符合题目要求的．1.设R U =，已知两个非空集合M ，N 满足∅=⋂N C M U ，则（）A．R M N ⋂=B．M N⊆C．N M ⊆D．RM N ⋃=【答案】B【解析】根据题意，作出如下图韦恩图：满足∅=⋂N C M U ，即M N ⊆.故选：B.2.已知,,R a b c ∈，那么下列命题中正确的是（）A．若a b >，则22ac bc >B．若a bc c>，则a b >C．若a b >且0ab <，则11a b>D．若22a b >，则11a b<【答案】C【解析】A ．若a b >，当0c =时，22ac bc =，所以选项A 不成立；B ．若a bc c>，当0c <时，则a b <，所以选项B 不成立；C ．因为0ab <，将a b >两边同除以ab ，则11a b>，所以选项C 成立；D ．如果2,1,a b ==-满足22a b >，但是11a b>，所以选项D 不成立．故选：C．3.函数2()()log xxf x e e x -=+的图象大致是（）A. B.C. D.【答案】C【解析】22()()log ()log ()xx x x f x ee x e e xf x ---=+-=+=,()f x 为偶函数，排除AD ，又01x <<时，()0f x <，排除B ．故选：C ．4.欧拉公式i e cos isin (i x x x =+为虚数单位)是由瑞士著名数学家欧拉发现的，它将指数函数的定义域扩大到复数，建立了三角函数和指数函数的关系，在复变函数论里占有非常重要的地位，被誉为“数学中的天桥”，已知i a e 为纯虚数，则复数sin211ia ++在复平面内对应的点位于（）A．第一象限B．第二象限C．第三象限D．第四象限【答案】D【解析】因为i e cos isin x x x =+，所以i e cos isin a a a =+，因为i a e 为纯虚数，所以cos 0a =，sin 0a ≠，故sin 22sin cos 0a a a ==，所以()()sin2111i 1i 11i 1i 1i 1i 1i 222a +--====-+++-，则复数sin211i a ++在复平面内对应的点为11,22⎛⎫- ⎪⎝⎭，则其在第四象限，故选：D.5.良渚遗址位于浙江省杭州市余杭区瓶窑镇、良渚街道境内.1936年浙江省立西湖博物馆的施昕更先生首先在浙江省杭州市良渚镇一带发现．这里的巨型城址，面积近630万平方米，包括古城、水坝和多处高等级建筑．国际学术界曾长期认为中华文明只始于距今3500年前后的殷商时期，2019年7月6日，中国良渚古城遗址被列入世界遗产名录，这意味着中国文明起源形成于距今五千年前，终于得到了国际承认！2010年，考古学家对良渚古城水利系统中一条水坝的建筑材料（草裏泥）上提取的草茎遗存进行碳14年代学检测，检测出碳14的残留量约为初始量的55.2%．已知经过x 年后，碳14的残余量(1)(,0,01;0)x y k p k k p x =-∈><<R ，碳14的半衰期为5730年，则以此推断此水坝大概的建成年代是（）．（参考数据：2log 0.5520.8573≈-）A．公元前2893年B．公元前2903年C．公元前2913年D．公元前2923年【答案】B【解析】 碳14的半衰期为5730年，∴1573057305730111(1)(1)222x k k p p y k ⎛⎫⎛⎫=-⇒-=⇒= ⎪⎪⎝⎭⎝⎭，当55.2%y k =时，5730155.2%2x k k ⎛⎫= ⎪⎝⎭，1222log 0.552log 0.552,5730log 0.55249125730xx ∴==-=-≈， 2010年之前的4912年是公元前2902年，∴以此推断此水坝大概的建成年代是公元前2903年.故选：B.6.已知12,F F 为椭圆1C ：2222111x y a b +=(110>>a b )与双曲线2C ：2222221x y a b -=(220,0a b >>)的公共焦点，点M 是它们的一个公共点，且123F MF π∠=，12,e e 分别为1C ，2C 的离心率，则12e e 的最小值为（）A．2C．2D．3【答案】A【解析】设椭圆1C 、双曲线2C 的共同半焦距为c ，由椭圆、双曲线对称性不妨令点M 在第一象限，由椭圆、双曲线定义知：1212||||MF MF a +=，且212||||2MF MF a -=，则有112||MF a a =+，212||MF a a =-，在12F MF △中，由余弦定理得：22212121212||||||2||||cos F F MF MF MF MF F MF =+-∠，即222121212124()()2()()cos3c a a a a a a a a π=++--+-，整理得：2221243c a a =+，于是得2212222212123134a a c c e e e e =+=+≥=，当且仅当221213e e =，即21e =时取“=”，从而有12≥e e ，所以12e e.故选：A7.三棱锥P ABC -的所有顶点都在球O 的球面上.棱锥P ABC -的各棱长为：2PA =，3,4,5,PB PC AB BC AC =====O 的表面积为（）A.28πB.29πC.30πD.31π【答案】B【解析】由题意知：222PB PC BC +=，222PA PC AC +=，222PA PB AB +=，∴,,PA PB PC 两两垂直，即P ABC -为直三棱锥，∴若Rt PBC △的外接圆半径为r ，则522BC r ==，又PA ⊥面PBC ，∴外接球心O 到PA 的距离为52r =，故外接球半径2R ==，∴外接球表面积2429S R ππ==.故选：B.8.已知0.40.7e ,eln1.4,0.98a b c ===，则,,a b c 的大小关系是（）A．a c b >>B．b a c >>C．b c a>>D．c a b>>【答案】A【解析】构造()1=ln e f x x x -，0x >，则()11=ef x x '-，当0e x <<时，()0f x '>，当e x >时，()0f x '<，所以()1=ln ef x x x -在0e x <<上单调递增，在e x >上单调递减，所以()()e =lne 10f x f ≤-=，故ln 1ex x ≤，当且仅当e x =时等号成立，因为20x >，所以222222(2)2ln 2ln ln ln2e e 2e 2e ex x x x x x x x x ≤⇒≤⇒≤⇒≤=，当2x =时，等号成立，当0.7x =时，220.98ln1.4(0.7)eln1.40.98e e<⨯=⇒<，所以b c <构造()1=e x g x x --，则()1e 1=x g x -'-，当1x >时，()0g x '>，当1x <时，()0g x '<，所以()1=ex g x x --在1x >单调递增，在1x <上单调递减，故()()10g x g ≥=，所以1e x x -≥，当且仅当1x =时，等号成立，故121e e 2x x x x --≥⇒≥，当且仅当0.5x =时，等号成立，令0.7x =，则0.40.4e 1.40.7e 0.98>⇒>，所以a c >，综上:a c b >>，故选：A二、多项选择题：本题共4小题，每小题5分，共20分．在每小题给出的选项中，有多项符合题目要求,全部选对的得5分，有选错的得0分，部分选对的得3分．9.千百年来，我国劳动人民在生产实践中根据云的形状、走向、速度、厚度、颜色等的变化，总结了丰富的“看云识天气”的经验，并将这些经验编成谚语，如“天上钩钩云，地上雨淋淋”“日落云里走，雨在半夜后”……小波同学为了验证“日落云里走，雨在半夜后”，随机观察了他所在地区的100天中的“日落云里走”的情况和后半夜天气情况，得到如下数据，后半夜天气情况“日落云里走”的情况下雨未下雨总计出现25530未出现254570总计5050100并计算得到219.05χ≈，则小波对该地区天气的判断正确的是（）A.后半夜下雨的概率约为1 2B.未出现“日落云里走”时，后半夜下雨的概率约为5 9C.有99%的把握认为“‘日落云里走’是否出现”与“后半夜是否下雨”有关D.若出现“日落云里走”，则后半夜有99%的可能会下雨【答案】AC【解析】对A，把频率看作概率，可得后半夜下雨的概率约为5011002=，故A判断正确：对B，未出现“日落云里走”时，后半夜下雨的概率约为255254514=+，故B判断错误；对C，由219.05 6.635χ≈>，知有99%的把握认为“‘日落云里走’是否出现”与“后半夜是否下雨”有关，故C判断正确；易知D判断错误.故选：AC10.如图的形状出现在南宋数学家杨辉所著的《详解九章算法·商功》中，后人称为“三角垛”.“三角垛”最上层有1个球，第二层有3个球，第三层有6个球，….设第n层有n a个球，从上往下n层球的总数为n S，则（）A.535S =B.1n n na a +-=C.1(1)2n n n n S S -+-=，2n ≥ D.1231001111200101a a a a ++++= 【答案】ACD【解析】因为11a =，212a a -=，323a a -=，……，1n n a a n --=，以上n 个式子累加可得：(1)1232n n n a n +=++++=，所以512345136101535S a a a a a =++++=++++=，故选项A 正确；由递推关系可知：11n n a a n +-=+，故选项B 不正确；当2n ≥，1(1)2n n n n n S S a -+-==，故选项C 正确；因为12112(1)1n a n n n n ⎛⎫==- ⎪++⎝⎭，所以12100111111112122223100101a a a ⎛⎫⎛⎫⎛⎫+++=-+-++- ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭120021101101⎛⎫=-= ⎪⎝⎭，故选项D 正确；故选：ACD.11.已知函数()()()sin 0,f x x ωϕωϕ=+>∈R 在区间75,126ππ⎛⎫⎪⎝⎭上单调，且满足73124f f ππ⎛⎫⎛⎫=- ⎪ ⎪⎝⎭⎝⎭有下列结论正确的有（）A．203f π⎛⎫=⎪⎝⎭B．若()56f x f x π⎛⎫-= ⎪⎝⎭，则函数()f x 的最小正周期为π；C．关于x 的方程()1f x =在区间[0,2)π上最多有4个不相等的实数解D．若函数()f x 在区间213,36ππ⎡⎫⎪⎢⎣⎭上恰有5个零点，则ω的取值范围为8,33⎛⎤⎥⎝⎦【答案】ABD【解析】A，∵7375,124126ππππ⎛⎫⎛⎫⊆ ⎪ ⎪⎝⎭⎝⎭，∴()f x 在73,124ππ⎛⎫⎪⎝⎭上单调，又73124f f ππ⎛⎫⎛⎫=- ⎪ ⎪⎝⎭⎝⎭，73212423πππ+=，∴203f π⎛⎫=⎪⎝⎭，故A 正确；B，区间75,126ππ⎛⎫⎪⎝⎭右端点56x π=关于23x π=的对称点为2x π=，∵203f π⎛⎫= ⎪⎝⎭，f (x )在75,126ππ⎛⎫ ⎪⎝⎭上单调，∴根据正弦函数图像特征可知()f x 在5,26ππ⎛⎫⎪⎝⎭上单调，∴512(62322T T ππππω-==⋅ 为()f x 的最小正周期)，即ω 3，又0ω>，∴03ω< .若()56f x f x π⎛⎫-= ⎪⎝⎭，则()f x 的图象关于直线512x π=对称，结合203f π⎛⎫=⎪⎝⎭，得()252121312442k k T k ππππω++-===⋅∈Z ，即()42k k ω=+∈Z ，故k ＝0，2,T ωπ==，故B 正确.C，由03ω< ，得23T π，∴()f x 在区间[)0,2π上最多有3个完整的周期，而()1f x =在1个完整周期内只有1个解，故关于x 的方程()1f x =在区间[)0,2π上最多有3个不相等的实数解，故C 错误.D，由203f π⎛⎫=⎪⎝⎭知，23π是函数()f x 在区间23π⎡⎢⎣，136π⎫⎪⎭上的第1个零点，而()f x 在区间213,36ππ⎡⎫⎪⎢⎣⎭上恰有5个零点，则13252632T T ππ<- ，结合2T πω=，得81033ω< ，又03ω< ，∴ω的取值范围为8,33⎛⎤⎥⎝⎦，故D 正确.故选：ABD.12.已知正方体1111ABCD A B C D -的棱长为2，动点F 在正方形11CDD C 内，则（）A.若1C F ⊥平面1A CF ，则点F 的位置唯一B.若1//B F 平面1A BD ，则1B F 不可能垂直1CD C.若()112BF BC BD =+，则三棱锥11-F B CC 的外接球表面积为4πD.若点E 为BC 中点，则三棱锥11A AB E -的体积是三棱锥1-A FA B 体积的一半【答案】AD【解析】如图，以D 为原点分别以DA 、DC 、1DD 为x 轴、y 轴、z 轴建立空间直角坐标系：则()2,0,0A ，()2,2,0B ，()0,2,0C ，()0,0,0D ，()12,0,2A ，()12,2,2B ，()10,2,2C ，()10,0,2D ，由于动点F 在正方形11CDD C 内，可设()0,,F m n ，其中02m <<，02n <<，选项A：若1C F ⊥平面1A CF ，则11C F A C ⊥ ，1C F CF ⊥．由于()10,2,2C F m n =-- ，()12,2,2A C =-- ，()0,2,CF m n =-，则()()()()222220220m n m n n ⎧⨯---=⎪⎨-+-=⎪⎩，解得：11m n =⎧⎨=⎩或22m n =⎧⎨=⎩（舍去），此时()0,1,1F ，即点F 的位置唯一，故选项A 正确；选项B：()10,2,2A B =- ，()2,2,0BD =--，设平面1A BD 的一个法向量为(),,n x y z =r．则220220y z x y -=⎧⎨--=⎩，令1y =，得1x =-，1z =，故()1,1,1n =-，而()12,2,2B F m n =--- ，若1B F ∥平面1A BD ，则10B F n ⋅=，则2220m n +-+-=，即2m n +=，所以()0,,2F m m -，此时()12,2,B F m m =---，而()10,2,2CD =- ，所以()112022244B F CD m m m ⋅=-⨯-⨯--⨯=-+，当1m =时，440m -+=，此时110B F CD ⋅= ，则11B F CD ⊥.故选项B 不正确；选项C：由于()112BF BC BD =+，则F 为1CD 的中点，此时()0,1,1F ，设三棱锥的11-F B CC 的外接球的球心为(),,O x y z ，则11OC OB OC OF OC OC⎧=⎪=⎨⎪=⎩，即()()()()()()()()()()2222222222222222222222211222x y z x y z x y z x y z x y z x y z ⎧+-+=-+-+-⎪⎪+-+=+-+-⎨⎪+-+=+-+-⎪⎩，解得：121x y z =⎧⎪=⎨⎪=⎩，所以()1,2,1O ，则三棱锥的11-F B CC的外接球的半径为R OC ==，所以三棱锥的11-F B CC 的外接球表面积为22448R πππ=⨯=，故选项C 不正确；选项D：点E 为BC 中点，由正方体可知BC ⊥平面11A ABB ，则11111111111222132323A AB E E AA B V V AA A B BE --==⨯⋅⋅=⨯⨯⨯=111111111422232323A FAB F AA B V V AA A B BC --⋅==⨯⨯⋅=⨯⨯⨯⨯=则三棱锥11A AB E -的体积是三棱锥1-A FA B 体积的一半.故选项D 正确.故选：AD三、填空题：本题共4小题，每小题5分，多空题，第一空2分，第二空3分，共20分．13.若随机变量1~,3X B n ⎛⎫ ⎪⎝⎭，且()*N E X ∈，写出一个符合条件的n =___________.【答案】3（答案不唯一）【解析】因为随机变量1~,3X B n ⎛⎫ ⎪⎝⎭，所以()*1N 3E X n =∈，所以一个符合条件的3n =，故答案为：3（答案不唯一）14.九龙壁是中国古代建筑的特色，是帝王贵族出入的宫殿或者王府的正门对面，是权力的象征，做工十分精美，艺术和历史价值很高．九龙壁中九条蟠龙各居神态，正中间即第五条为正居之龙，两侧分别是降沉之龙和升腾之龙间隔排开，其中升腾之龙位居阳位，即第1，3，7，9位，沉降之龙位居2，4，6，8位．某工匠自己雕刻一九龙壁模型，为了增加模型的种类但又不改变升腾之龙居阳位和沉降之龙的位置，只能调换四条升腾之龙的相对位置和四条沉降之龙的相对位置，则不同的雕刻模型有______种（用数字作答）．【答案】576【解析】分步完成：第一步调换四条升腾之龙的相对位置，第二步调换四条沉降之龙的相对位置，方法数为4444576A A =．故答案为：576.15.定义在()0,∞+上的函数()f x 满足：对()12,0,x x ∀∈+∞，且12x x ≠，都有()()2112120x f x x f x x x ->-成立，且()24f =，则不等式()2f x x>的解集为__________．【答案】()2,+∞【解析】令()()f xg x x=，因为对()120,x x ∀∈+∞、，且12x x ≠，都有()()2112120x f x x f x x x ->-成立，不妨设120x x <<，则120x x -<，故()()21120x f x x f x -<，则()()1212f x f x x x <，即()()12g x g x <，所以()g x 在()0,∞+上单调递增，又因为()24f =，所以()()2222f g ==，故()2f x x>可化为()()2g x g >，所以由()g x 的单调性可得2x >，即不等式()2f x x>的解集为()2,+∞.故答案为：()2,+∞16.已知椭圆2222:1(0)x y C a b a b+=>>，C 的上顶点为A ，两个焦点为1F ，2F ，离心率为12．过1F 且垂直于2AF 的直线与C 交于D ，E 两点，ADE V 的周长是13，则DE =_____．【答案】6【解析】如图，连接122,,AF DF EF ，因为C 的离心率为12，所以12c a =，即2a c =，所以22223b a c c =-=，因为12122AF AF a c F F ====，所以12AF F △为等边三角形，又2DE AF ⊥，所以直线DE 为线段2AF 的垂直平分线，所以2AD DF =，2AE EF =，则ADE V 的周长为22||||||||AD AE DE DF EF DE ++=++2211DF EF DF EF =+++134134a a ==⇒=，138c ∴=，而1230EF F ︒∠=，所以直线DE 的方程为3)3y x c =+，代入椭圆C 的方程2222143x y c c +=，得22138320x cx c +-=，设()11,D x y ，()22,E x y ，则21212832,1313c c x x x x +=-=-，所以48613cDE==，故答案为：6.。
2021届山东省高三下学期4月高考化学三模适应性训练四
2021届山东省高三下学期4月高考三模适应性训练四化学一、单选题1．化学用语是学习化学的重要工具。
下列用来表示物质变化的化学用语中，不正确的是A．向沸水中滴加FeCl3溶液制备Fe(OH)3胶体：Fe3+＋3H2O Fe(OH)3（胶体）＋3H+ B．明矾水解的离子方程式：Al3++ 3 H 2O Al(OH)3+3H+C．以石墨作电极电解氯化铝溶液：2Cl－＋2H2O2OH－＋H2↑＋Cl2↑D．硫化氢在水溶液中的电离方程式：H 2S + H2O HS- + H3O+2．下列关于有机物说法正确的是A．C7H8与C6H6互为同系物B．由乙酸与乙醇制备乙酸乙酯的反位属于加成反位C．C3H6Br2有4种同分异构体D．油脂在人体内最终分解为甘油和高级脂肪酸3．X、Y、Z三种短周期主族元素，原子半径的大小关系为r(Y)>r(X)>r(Z)，原子序数之和为16。
X、Y、Z三种元素的常见单质在适当条件下可发生如图所示的变化，其中A为X、Y组成的双原子分子，B和C均为10电子分子。
下列说法不正确的是A．X元素位于第ⅥA族B．A不能溶于B中C．A和C不可能发生氧化还原反应D．X的最高正化合价数高于Y的最高正化合价数4．环之间共用一个碳原子的化合物称为螺环化合物，螺[2.2]戊烷()是最简单的一种。
下列关于该化合物的说法错误的是()A．与互为同分异构体B．二氯代物超过两种C．所有碳原子均处同一平面D．该物质不属于烷烃5．熔融盐燃料电池是未来最有前景的发电系统之一。
用Li2CO3和K2CO3的熔融盐混合物作电解质，一极通H2，另一极通O2和CO2混合气体，可制得在873- 973K 工作的燃料电池。
已知该电池总反应为：2H2 + O2= 2 H2O。
则下列说法不正确的是A．通O2和CO2的一极是电池的正极B．该电池工作过程中需不断补充H2和O2，CO2可循环利用C．正极反应式为：O2 +2CO2+4e-=2CO2-3D．负极反应式为：H2 -2 e- =2 H+6．下列有关叙述卟啉配合物叶绿素的说法不正确的是（）A．该配合物的配位数为4B．该化合物所包含元素的非金属性：O>N>C>H>MgC．Mg单质晶体结构符合A3型最密堆积D．化合物中C元素的杂化方式sp2、sp37．短周期元素A．B、C、D、E的原子序数依次增大且满足A+E=B+D，已知A与E 同族，B的单质能与硫酸铜溶液反应生成蓝色沉淀，E的氢化物能与硫酸铜溶液反应生成黑色沉淀。
2021届高三历史暑期微训练1《中国初期政治制度的特点及走向“大一统”的秦汉政治》(1)
中国初期政治制度的特点及走向“大一统”的秦汉政治A组·(45分钟100分)一、选择题(本大题共12小题,每题4分,共48分)1.《宋百官春秋》记载:“周受命封建宗盟,始选宗中之长而董正之,谓之宗正。
(周)成王时,彤伯(王室成员)入为宗正,掌王亲属是也。
秦因之。
”该材料要紧反映了古代中国初期的( )A.中央官制B.嫡长子继承制C.王位世袭制D.地址行政制度2.在中国古代,父亲在家中居统治地位,实行“一言堂”,是绝对的真理,鲁迅说“父关于子,有绝对的权利和威严,假设是老子说话,固然无所不可,儿子有话却在未说之前早已错了”。
上述现象与以下哪一种制度有关( )A.王位世袭制B.分封制C.宗法制D.皇帝制3.周朝规定同姓不婚。
贵族们力图通过婚姻关系的血缘纽带,与异姓贵族成立宗法伦理关系。
如此做,从政治角度看( )A.有利于监督周王的权利B.有利于保护社会稳固C.奠定了传统文化的基础D.保护了嫡长子继承制4.《春秋公羊传》记载:“隐长又贤,何以不宜立?立嫡以长不以贤;立子以贵不以长。
桓何以贵?母贵也。
”这一做法( )A.遵循了周朝的宗法制度精神实质B.严峻破坏了嫡长子继承制度C.是春秋时期宗法制度崩溃的表现D.说明太后左右了王位的继承5.有学者以为西周封邦建国是为了“控股政权”,其扩充“股分”的要紧方式是( )A.采取内外服制B.采取嫡长子继承制度C.大封同姓诸侯D.对殷商方国形成包围6.清朝有学者说:“天子建国,那么诸侯于国为大宗,对天子而言那么为小宗。
”结合所学知识判定,这一观点说明了( )A.清王朝继续推行宗法制B.宗法制和分封制相辅相成C.宗法制以分封制为基础D.天子行使大小宗双重权利7.从“周制微弱”到天下“统于秦”,反映出( )A.皇帝制的成立B.分封制的衰落C.郡县制的推行D.宗法制的瓦解8.李白诗云:秦王扫六合,虎视何雄哉!挥剑决浮云,诸侯尽西来。
以下各项与李白诗句相关的是( )A.“皇帝之功,勤劳本领,上(尚)农除末,黔首是富”B.“始皇坚毅戾深,乐以刑杀为威,专任狱吏而亲幸之”C.“今皇帝并一海内,以为郡县,天下和平”D.“秦王怀贪鄙之心,行自奋之智……以暴虐为天下始”9. “从理论上讲,秦汉以后的皇帝跟西周和西周之前的王有着本质的区别,他不是天下的共主而是独主,是国家所有人唯一的君主。
新课标人教版 2022届高三英语二轮复习跟踪强化训练4 Word版含答案
跟踪强化训练(四)[时态、语态专练]Ⅰ.语法填空1．(2021·四川省五校高三联考)However，when the shine and excitement of the presents and the parties began to wear off，the young princess found out that her handsome young husband wasn't as wonderful as she ________(expect)．[解析]考查时态。
expect这一动作发生在found out之前，事情发生在过去的过去，用过去完成时，故填had expected。
[答案]had expected2．(2021·湖北重点高中协作体期中联考)Chinese children's fiction writer Cao Wenxuan，a professor of Chinese literature at Peking University, ________(award) the Hans Christian Andersen Prize on April 4,2022...[解析]考查时态和语态。
此处指“在2022年4月4日，曹文轩被授予国际安徒生文学奖”，应用一般过去时的被动语态。
故填was awarded。
[答案]was awarded3．(2021·安徽省高三联考)Always citizens ________(educate) to take care of and show respect for handicapped people.[解析]citizens和educate之间是动宾关系，句子状语是Always，故用一般现在时的被动语态。
故填are educated。
[答案]are educated4．(2021·河北省石家庄高三联考)So far，I ________(organize) several English activities of my class.[解析]考查动词时态。
2013届高考英语二轮总复习 专题训练卷专题训练卷4 新课标(湖南专用)
专题训练卷(四) 高中新课标总复习(第二轮)·英语专题训练卷(四)(1)(6 min.)(原创)Many women do not like strength training because 1. __________ fear that lifting weights will make them look manly and make their muscles large. This couldn't be further than the truth. Women physically cannot build up 2. __________ much muscle as men can. 3. __________ myth that keeps women from strength training properly is 4. __________， if women do lift weights, they should be light weights and they shouldn't train very 5. __________. This is also untrue. Finally, many women believe that, if they start strength training, see some results, 6. __________ then stop, the muscle they have built up will turn to fat. That is physically impossible. Of course, if you stop a weight training routine, you will probably see 7. __________ drop in muscle quality. This is only natural. 8. __________ you don't use the muscles, you lose them, but they are not turning into fat.(2)(6 min.)(2012·雅礼月考四)For many Englishmen there can never be any discussion 1. __________ to who is the world's greatest dramatist. Only one name can possibly suggest itself to(浮现在心头) him: 2. __________ of William Shakespeare. Every Englishman has some knowledge, 3. __________ slight, of the works of our greatest writer. All of us use words, phrases and quotations(引语) from Shakespeare's writings that have become part of the common property of Englishspeaking people. Most of 4. __________ time we are probably unaware 5. __________ the source of the words we use.Shakespeare, more perhaps than any 6. __________ writers, made full use of the great resource of the English language. There is probably no better way for a foreigner(or an Englishman) to appreciate the richness and variety of the English language 7. __________ by studying the various ways in 8. __________ Shakespeare used it.(3)(6 min.)(原创)Are you a smart kid who is having a little trouble in high school? Not to fear! Using good study habits can help you make 1. __________ through this tough time and on to college.You'll never be able to learn anything if your desk is 2. __________ of nothing but a pile of waste paper! Take 3. __________ hour a week to clean your desk. Throw away unneeded papers and notebooks. No 4. __________ students learn the same way, 5. __________ what may work for one student will actually be detrimental to another. The same goes for studying. 6. __________ students learn better with flash cards, others 7. __________ rewriting material or taking practice tests. Experiment with different methods 8. __________ you find one that works for you best. Remember, anyone is capable of success!(4)(6 min.)(2012·雅礼月考三)The one last piece of advice, though, that I would have thathas been useful for me is the people who I admire the most and are most successful, they're not 1. __________ thinking only about themselves but they're also thinking about something larger than 2. __________. That the people who really make their marks on the world is because they have 3. __________ bigger ambition. They say, 4. __________ can I help feed hungry people? Or, how can I help to teach children who don't have an education? Or, how can I bring 5. __________ peaceful resolution of conflicts? Those are the people I think 6. __________ end up making such a big difference in the world, 7. __________ I'm sure that young people like you are going to be able to make that kind of difference 8. __________ long as you keep working the way you've been working.(5)(6 min.)(原创)If you want to spend more time with your children, there are actually a lot of learning activities that you 1. __________ choose from.Reading stories with your children is 2. __________ really fun way. Doing this will create the idea that you value reading as a learning activity. Choose good reading materials 3. __________ will let them learn something 4. __________ having fun. Choose books with vivid colors and great pictures to get the attention of your child.Riddles are really fun. Try to take turns in asking riddles with your child to develop 5. __________ critical thinking and imagination. You will be surprised with how far their imagination can go just to come 6. __________ with the right answer.Songs are considered to be 7. __________ the most effective teaching tools for children. Kids remember things 8. __________ if they are linked to a song.(6)(6 min.)(原创)Parents who were fortunate enough to have a good summer camp experience themselves realize that there is 1. __________ better than to attend a good camp. Camp is a safe environment for children, which helps 2. __________ prepare for adulthood. Trained, caring adult role models help children feel loved, capable and included. The summer camp experience can lay a foundation that will serve well 3. __________ adulthood.There are over 10, 000 camps in this country, so there 4. __________ be one for every child. The cost is sometimes a problem for families, but 5. __________ they look at this as an important part of the growing up process, most families can find the means. In the 6. __________ run, a good camp experience is going to be much more beneficial than that new 54inc h television. This is 7. __________ investment in your child's future and one 8. __________ will be remembered long.(7)(6 min.)I was very excited but also a little nervous on my first day at work. I had to report to the Human Resources Department first thing in the morning 1. __________ that they could introduce me to my colleagues. Everyone was very nice and welcomed me to the company, and my boss took me to the canteen for lunch. I 2. __________ met the General Manager. I really enjoyed my first day, but I did not do much work! The 3. __________ day was very different. Even though I was 4. __________ a management trainee, I still had a lot of responsibility, and there was so much to learn. The work was quite interesting, but there was a lot of 5. __________. In fact, therewas so much work that I had to work overtime to complete it. I felt like I was facing mountains 6. __________ paperwork. I have to learn what each department does so that I can understand 7. __________ the company works. For example, I spent one day in the Finance Department, 8. __________ the accountants take care the company's money …(8)(6 min.)Everyone needs friendship. No one can sail the ocean of life singlehandedly. We need help 1. __________， and also give help to, others. In the modern age, people attach 2. __________ importance to relations and connections than we used to. A man of charisma has many friends. His power lies in his ability to give.3. __________ life is full of strife and conflict, we need friends to support and help us out of difficulties. Our friends give us warnings against danger. True friends share not only joy4. __________， more often than not, sorrow. With friendship, life is happy and harmonious.5. __________ friendship, life is sad and unfortunate. I have friends ranging from the rank and file to rich and in power. To many of my friends, I know what to treasure,6. __________ to tolerate and what to share. I will never forget my old friends7. __________ keep making new friends.I will not be cold and indifferent (不关心的) to 8. __________ poor friends and will show concern for them, even if it is only a comforting word.The term, friend, covers a wide range of meanings. It can be a nodding acquaintance, a partner, a playmate, a brother, etc.(9)(6 min.)The people o f La Gomera can carry on longdistance conversation 1. __________ whistling. For ordinary conversation they speak Spanish. 2. __________ when they need to speak over a distance, and ordinary speech is impossible, they used silbo, 3. __________ is the name of whistled form of speech.La Gomera is very mountainous. Because of the island's small size, walking from one place to another may be slow and difficult. That is 4. __________ the silbo is useful to the islanders there. 5. __________ message can easily be whistled over a couple of miles, while to travel the same distance on foot might take an hour.A good whistler can be heard and understood five miles 6. __________. His whistling can be heard even farther away when there is little or 7. __________ wind.I was informed that the record is nine miles. 8. __________ who has heard a firstclass whistler will agree that this figure is quite possible.(10)(6 min.)A teacher was asking a student a lot of questions, but the student couldn't answer any of them. The teacher then decided to ask 1.__________ some very easy questions so that he could get a few right.“2.__________ was California？” she said.The student thought 3.__________ some time and then answered, “A city？”“No, it was a state，” the te acher said. She was getting a little angry now, but she was trying 4.__________ to show it. Then she asked, “Who was the 5.__________ president of the United States？”The student thought for a long time, 6.__________ didn't say anything. Then the teacher got very angry and shouted, “George Washington！”The student got up and began to walk 7.__________ his seat.“Come back！” the teacher said, “I didn't tell you to go.”“Oh, I'm sorry，” the student said. “I thought you called 8.__________ next student.”(11)(6 min.)Why must we pay taxes? The answer is that the government needs money for many things, and 1. __________ the people of the country can supply the money. One of the most important taxes is income tax which a person pays according to the amount of his income, 2. __________ he is a merchant, a shopkeeper, a miner, or anything else. This is called a “direct” tax, because it is paid in money directly 3. __________ the government. 4. __________ tax is paid on goods like watches, jewellery, new clothes and tobacco when they are brought into a country. We call it “indirect” tax.People complain about having to pay taxes, 5. __________ they forget that the money is spent on things that they and 6. __________ families need. We need policemen to catch thieves, to see that men obey the laws, to direct traffic, etc., and they must be paid 7. __________ they earn; children need education and there must be schools and teachers. Above all, the country must always be ready to defend itself against attacking enemies, and we cannot have 8. __________ army without paying for it.Taxes, therefore, cannot be avoided.(12)(6 min.)Why are Americans getting fatter?New research announced Monday found that 1. __________ human stem cells were exposed to a common virus, they turned into fat cells. They didn't just change, they stored fat, 2. __________.While this may be reasonable for putting on weight, it doesn't explain 3. __________ or even most to America's growing obesity problem. But it adds to other recent evidence that blames huge waistlines on 4. __________ than just supersized appetites and underused muscles.For several years, researchers have looked at a possible link between obesity and this common virus from a family of viruses that cause colds and pinkeye 5. __________ people. They had already found that 6. __________ higher percentage of fat people had been infected with the virus 7. __________ nonfat people. They had exposed animals to the virus and got 8. __________ to fatten up and even found a gene in the virus that caused animals to get fat.专专题训练卷(四)(1)1．they 考查人称代词。
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新高三暑期训练
4
一、填空题（本大题共14小题，每小题5分，共70分，请将答案填写在答题卡相应的位
置上）
1．已知集合A={1，2}，B={0，1}，则集合A∪B的所有子集的个数为 个．
2．已知a，b为实数，设复数z=a+bi满足=2﹣i（i是虚数单位），则a﹣b= ．
3．运行下面的一个流程图，则输出的S值是 ．
4．从长度分别为2，3，4，5
的四条线段中任意取出三条，以这三条线段为边可以构成三角
形的概率是 ．
5．已知等比数列{an}的公比为正数，且a3•a9=2a52，a2=1，则a1= ．
6．如图，已知正方体ABCD﹣A1B1C1D1的棱长为2，O为底面正方形ABCD
的中心，则三
棱锥B1﹣BCO的体积为 ．
7．已知椭圆的焦距为2，则实数t= ．
8．已知α、β∈（0，），若cos（α+β）=，sin（α﹣β）=﹣，则cos2α= ．
9．已知函数f（x）=xlnx，若直线l过点（0，﹣1）并且与曲线y=f（x）相切，则直线l
被
圆（x﹣2）2+y2=4截得的弦长为 ．
10．设椭圆C的两个焦点为F1、F2，过点F1的直线与椭圆C交于点M，N，若|MF2|=|F1F2|
，
且|MF1|=2，|NF1|=1，则椭圆C的离心率为 ．
11．平行四边形ABCD中，||=6，||=4，若点M，N满足： =3， =2
，则
= ．
12．已知函数f（x）=，若方程f（x）=﹣2x
有且只有一个实数根，则
实数m的取值范围为 ．
13．已知函数f（x）=mx+2，g（x）=x2+2x+m，若存在整数a，b，使得a≤f（x）﹣g（x
）
≤
b的解集恰好是[a，b]，则a﹣b的值为． ．
14．若x，y为实数，且x2+2xy﹣y2=7，则x2+y2的最小值为 ．
二、解答题（本大题共6小题，共90分.解答应写出文字说明、证明过程或演算步骤.）
15．在△ABC中，a，b，c分别是角A、B、C的对边， =（b，2a﹣c），=（cosB，cosC
），
且
∥
（1）求角B的大小；
（2）设f（x）=cos（ωx﹣）+sinωx（ω＞0），且f（x）的最小正周期为π，求f（x）在区
间[0，]上的最大值和最小值．
16．如图，在四棱锥P﹣ABCD中，四边形ABCD为矩形，AB⊥BP，M、N分别为AC
、
PD的中点．求证：
（1）MN∥平面ABP；
（2）平面ABP⊥平面APC的充要条件是BP⊥PC．
17．某民营企业从事M
国某品牌运动鞋的加工业务，按照国际惯例以美元结算．依据以往
的加工生产数据统计分析，若加工订单的金额为x万美元，可获得的加工费的近似值为
万美元．2011年以来，受美联储货币政策的影响，美元持续贬值．由于从生
产订单签约到成品交付要经历一段时间，收益将因美元贬值而损失mx美元（其中m是该
时段的美元贬值指数，且0＜m＜1），从而实际所得的加工费为
万美元．
（1）若某时段的美元贬值指数，为了确保企业实际所得加工费随x的增加而增加，
该企业加工产品订单的金额x应该控制在什么范围内？
（2）若该企业加工产品订单的金额为x万美元时共需要的生产成本为万美元．已知该
企业的生产能力为x∈[10，20]，试问美元贬值指数m在何范围内时，该企业加工生产不会
出现亏损？（已知）．
18．已知圆O：x2+y2=r2（r＞0），点P为圆O上任意一点（不在坐标轴上），过点P
作倾斜
角互补的两条直线分别交圆O于另一点A，B．
（1）当直线PA的斜率为2时，
①
若点A的坐标为（﹣，﹣），求点P的坐标；
②
若点P的横坐标为2，且PA=2PB，求r的值；
（2）当点P在圆O上移动时，求证：直线OP与AB的斜率之积为定值．
19．已知直线x﹣y﹣1=0为函数f（x）=logax+b在点（1，f（1））处的一条切线．
（1）求a，b的值；
（2）若函数y=f（x）的图象C1与函数g（x）=mx+（n＞0）的图象C2交于P（x1，y1），
Q（x2，y2）两点，其中x1＜x2，过PQ的中点R作x轴的垂线分别交C1，C2于点M、N
，
设C1在点M处的切线的斜率为k1，C2在点N处的切线的斜率为k2，求证：k1＜k2．
20．已知数列{xn}和{yn}的通项公式分别为和．
（1）当a=3，b=5时，
①
试问：x2，x4分别是数列{yn}中的第几项？
②
记，若ck是{yn}中的第m项（k，m∈N+），试问：ck+1是数列{yn}中的第几项？
请说明理由；
（2）对给定自然数a≥2，试问是否存在b∈{1，2}，使得数列{xn}和{yn}有公共项？若存在，
求出b的值及相应的公共项组成的数列{zn}，若不存在，请说明理由．