高考单选易错题
高考英语单选易错题分类汇总名词含解析非常实用
1. Ten years had passed. I found she had _______.A. a few white hairsB. a little white hairC. some white hairD. more fifty hair2. —Hi, this way, please.—OK.I sometimes have no sense of ______ when I arrive at the crossroad.A. positionB. directionC. situationD. condition3. —I’ve got an “A” in the examination.—That’s a good ______. You will surely win a second.A. resultB. newsC. startD. ideaI did it by _______.4. I didn’t have to work all weekend —A. chanceB. choiceC. accidentD. myself5. “Did you get _____ to the party?”“Yes, I replied to it this morning.” A. an answerB. an invitationC. a questionD. a letter6. I paid him ￡50 for the painting, but its true ______ must be at least ￡500.A. priceB. moneyC. valueD. importance7. His letter was so confusing that I could hardly make any ______ of it.A. explanationB. meaningC. senseD. guess8. You’ve just missed your ______, and you will have to wait for the next round.A. chanceB. turnC. timeD. part9. —Li Lin is very bright and studies hard as well.—It’s no ______ he always gets the first place in any examination.A. questionB. doubtC. problemD. wonder10. —How can I use this washing machine?—Well, just refer to the _______.A. explanationsB. expressionsC. introductionsD. directions11. Jim was late for two classes this morning. He said that he forgot both of the ______.A. rooms numberB. room numberC. room’s numbersD. room numbers12. —Hello, I’d like to speak to Henry.—Oh, which _______? There are two ______ in our office.A. Henrys, HenrysB. Henries, HenriesC. Henry, HenrysD. Henrys, Henries13. Electricity, like other forms of ______, has greatly increased in price in recent years.A. pressureB. forceC. strengthD. energy14. To most of us, friendships are considered very important, but we need to have clear in our_________ the kinds of friendships we want.A. hearts B thought C. actions D. minds15. The result was a narrow victory for Smith in the competition.A. achievements B success C. victory D. triumph16. As a candidate, you must make a good______on everyone you meet if you want to winthe election.A decisionB situationC impressionD position17.—Jerry said something strange at the meeting．—His ____left me _____about his real purpose．A. marks；wondering B．marks；to wonderC．word；to be wondering D. remarks; wondering18. Though it is not a normal ______to give a discount in our shop, we will have to consider it closelyA hobbyB practiceC behavior D. intention19. According to the recent research, heavy coffee drinking and heart disease is not necessarily causeand_____________.A. resultB. courseC. factD. effect20. UN Secretary-General Kofi Annan offered his _________ to China ____ her successful launch ofShenzhou VI manned spacecraft.A. thanks；forB. celebration; onC. congratulations; onD. satisfaction; with21. Many of the Chinese medals were won in diving and gymnastics and also in _______ such asweightlifting and shooting.A. eventsB. businessC. matters D .affairs22. -Some people believe robots will take over the word one day?-What if that is the_______?A. resultB. endC. thingD. case23. The Republic Party was returned to _______ , with an increased majority in the election.A. enemyB. powerC. strengthD. force24. At the same time, they are taking strong __________to protect wildlife resources.A. actionsB. measuresC. stepD. efforts25.-He failed again.-That was not surprising. The ______of too much time to computer games left too little time for his study.A useB costC devotionD expense26.-can you see the building clearly on the foggy day?-It makes no _______to me whether it’s foggy or not, for I’m blindA senseB mistakeC differenceD meaning27. -shall we attend the lecture on how to prevent diseases?-why? I can’t see any ______of doing that。
高考特殊疑问词单选易错题
高考特殊疑问词单选易错题一、选择题1．—_______ will the COVID-19 outbreak be over?—No idea, but Mr Zhong Nanshan said, “There’s still the possibility that it could end in June.”A．How long B．How soon C．How far D．How often 2．—________ is it since the Communist Party of China (中国共产党) was founded?— Ninety-nine years. It’s her 100th birthday next year.A．How often B．How long C．How soon D．How many 3．— Bob, ___________ can you have your product ready?—I’m not sure. I’m still waiting for the final design.A．how soon B．how long C．how often D．how far 4．—_______will we take off our masks in class?—_______we can find out medicine to cure the disease completely.A．How long, Not until B．How soon, Not until C．How long, Until D．How soon, Until 5．—_________ will the high-speed ra ilway from Huai’an to Nanjing be finished?—In three years.A．How soon B．How long C．How often D．How far 6．—_______ will the high-speed railway connecting Yancheng to Shanghai be completed? —In about six months.A．How long B．How far C．How soon D．How often 7．—The Xuzhou Metro Line 1 has been in use. do you take it to school ?—Every day. It’s so quick and easy.A．How much B．How many C．How long D．How often 8．—________ have you been away from your hometown?—For about 15 years.A．How many B．How long C．How much D．How often 9．－ will the invitations be sent to our guests?－In three days.A．How often B．How soon C．How long D．How far 10．—________is it from our school to your home?— It's about 20 minutes' ride.A．How long B．How much C．How often D．How far 11．—________ will you finish doing your work?—In a week.A．How often B．How soon C．How long D．How far 12．—_________ will Changzhou Metro Line 2 start to use?—_________ the end of this year.A．How long; Not until B．How long; Until C．How soon; Not until D．How soon; Until 13．一______ is it from Gusu Children's Palace to Zhuozheng Garden, Tom?―About 30 minutes' ride by bike.A．How soon B．How long C．How much D．How far14．—________ can you have these trousers ready? —In 24 hours.A．How soon B．How long C．How often D．How many 15．— ________ will you finish your model spaceship, Tom?—In about two days. I’ll try my best to make it.A．How long B．How soon C．How often D．How far 16．— ________ is it from our school to your home?— About 2 kilometers away.A．How long B．How soon C．How deep D．How far 17．—Doctor, if I take the medicine, ________will I feel better?—Usually in five days.A．how often B．how soon C．how much D．how long 18．—Could you tell me ________ you will come back?—In ten minutes.A．how soon B．how often C．how long D．how fast 19．— ________ is it from your home to the park?—It’s about ten minutes’ walk.A．How often B．How far C．How long D．How soon 20．—____ will the project of the high-speed railway connecting Nantong to Shanghai be completed?—In about two months.A．How long B．How far C．How soon D．How often 21．The air pollution in the small town is getting worse. People have to wear thick masks almost every day. __________ !A．What a shame B．What shame C．What a surprise D．What surprise 22．________ are you doing here, baby? You must go to bed. It’s late.A．What B．Who C．When D．Where 23．—Millie, ________ are you reading?—Camel Xiangzi, by the famous Chinese writer, Lao She.A．who B．how C．where D．what24．—________ do you play basketball with your friends?— Only once a week.A．How long B．How much C．How soon D．How often 25．—________ is the concert going to start?—I’ve no idea. Why not check the ticket?A．What time B．What about C．How long D．How often 26．Why not ________ an English club to practice _________ English?A．join; speaking B．to join; speaking C．join; to speak D．to join; to speak 27．-_______________ can you get to the airport?-In about 30 minutes. I'm on the way.A．How soon B．How long C．How much D．How often 28．— did you celebrate the Dragon Boat Festival this year, Tod?—By making rice dumplings with my Chinese friends,A．Where B．When C．How D．Why29．---________ is your classroom cleaned?---Twice a day.A．How many times B．How much C．How often D．How many30．一I love these hair clips. are they?一They are ten yuan.A．How many B．How much C．How old D．How heavy 31．—________ is singing over there?—My sister. She likes singing.A．How B．Who C．What D．When 32．—Millie, ________ do you take the course in DIY?—Every Saturday afternoon.A．how long B．how far C．how much D．how often 33．—_______have you studied in this school?—For nearly three years.A．How often B．How far C．How much D．how long34．一___________do your parents take exercise, William?—Less than three times a week.A．How long B．How much C．How soon D．How often 35．— ________ is it from your home to the bank?—About ten minutes’ walk.A．How often B．How far C．How long D．How much 36．—I heard that you were a volunteer in Huai'an Marathon. ________ was it?—It was about 42 kilometres.A．How much B．How far C．How long D．How many37．一 ________ do you check the oil?一About every 5,000 km.A．How far B．How long C．How much D．How often 38．—________ will Taizhou hold the 20th Sports Meeting of Jiangsu? —________ next year. A．How long; until B．How soon; until C．When; Not until D．How long; Not until 39．—________ does the Qinhuai Lantern Show usually last?— For about fifty days.A．How far B．How often C．How long D．How much 40．— will she stay here?— For .A．How soon, one hour and a half B．How long, one and a half hoursC．How soon, one and half hours D．How long, one hour and half【参考答案】一、选择题1．B【详解】句意：——新冠肺炎疫情多久才能结束？——不知道，但是钟南山先生说仍有可能在六月份结束。
高考单选易错精选50题
高考单选易错精选50题1.It’s quite a time _____ Liu Xiang was injured in the foot, but we are sure it won’t be long _____ he returns to the track.A. after; whenB. before; sinceC. that; whenD. since; before 2.The superstar can be very sad , though in public he is extremely cheerful. A. by chance B. in personC. in privateD. as individual 3.The Lady stood in the sitting room as if a visit a friend.A. expecting…fromB. expected…fromC. expected…toD. expecting…at 4.The coach asked his staff to th e large group of journalists waiting for him to announce his training plans.A. adapt toB. attend toC. refer toD. appeal to 5.The art centre is _____ used to be a factory, _____ millions of tractors were made.A. what; whereB. where; whereC. what; whichD. where; which 6.— Can you give me some advice on what I said just now?— Sorry. My mind ________.A. is wanderingB. was wanderingC. has wanderedD.had wandered 7.--- Better get down to your work, Jack.--- _____________.A. It’s my p leasureB. Not to mention itC. Mind your own businessD.You’re welcome 8. The ancient Greeks were ______for many advances in science, art, and sport, for example, the marathon, ______philosophy.A.conscious, together withB.content, other thanC.outspoken, apart fromD.responsible, along with 9.He had a bad week. He lost his job,________ ,his car was stolen.A. on top of thatB. on top of itC. and on top of whichD. on top of which 10.The poor condition of the Acropolis set the Greek government ______into consideration the preservation of it.A.takingB.takenC.to takeD.to be taken11. --- Is there any possible way to help them get rid of such a bad habit?--- To tell the truth, it’s very hard. But we on this problem tryingto improve the situation.A. workedB. had workedC. are workingD. had been working12. The computer looks old, but it _________ just half a year ago.A. has been boughtB. will be boughtC. is boughtD. was bought13. “I in the room, watching TV broadcast about the earthquake.” I told the policeman who had driven here to question me.A. was stayingB. stayC. stayedD. am staying14. in charge of the shopping center has upset him for quite some time.A. LeftB. Being leftC. Having leftD. To leave15. On March 14, violent crimes of beating, looting and burning inLhasa of Tibet broke out, _____ 13 innocent people and with morethan 300 _____.A. killed; injuredB. killing; injuredC. killed; injuringD. killing; injuring16. Do you know that the first textbooks written for teaching English as aforeign language ____ in the 16th century?A. came upB. came alongC. came outD. came about17. Write down the key words that you __________ your students to find in the passage.A. makeB. expectC. suggestD. hope18. To _____ good relationships with your teachers and classmates, you should learn to be on good terms with them.A. bring upB. add upC. keep upD. take up19. We’d better set off，or it will be dark we know it.A. beforeB. afterC. whenD. until20. 一Isn't it a surprise that I happened to meet Francis Mathewsat the Christmas party last week?一If my memory serves me correctly, you _____ each other forexactly two years.A. hadn't seenB. haven't seenC. didn't seeD. don’t see21. the city lies the famous beautiful mountain.A. 40 miles southeast ofB. To 40 miles southeast ofC. Southeast 40 miles toD. To southeast 40 miles of22. —What do you think of the blind man?—I’ve never seen a man with sense of touch.A. the betterB. a betterC. a goodD. the best23. The result was far beyond _____we had expected,____brought great joy to every one of us.A. that; whichB. than; thatC. what; whatD. what; which24. Everyone has periods in their lives __________ everything seems very hard.A. whenB. whereC. whichD. that25. What impresses me most is _______ he appears in front of others, he wears a sincere and charming smile.A. whichB. thatC. whereD. that whenever26. Class regulations require ___ is the last to leave the classroom _____ off all the lights.A. who; should turnB. whom; shall turnC. whomever; turnsD. whoever; turn27. —Where is Bob? I cannot find him anywhere.—He have been off long. I heard him make a call just now.A. shouldn’tB. can’tC. mustn’tD. needn’t28. If the prediction for the earthquake _______ more accurate, we would have been more prepared and many more lives would have beensaved.A. had beenB. wasC. has beenD. were29. —Who has made a mess in my room?—Who else it but your naughty son?A. could doB. could have doneC. didD. has done30. I was told that ____ 10:15 flight would take us to Shanghai in time to reach ___ Fudan University.A. the; /B. the; aC. a; theD. /; the31. He talked again and again to his friend about careful driving,but _____ just turned a deaf ear to his words.A. anotherB. otherC. othersD. the other32. It is a great for a person to be able to drive when he is seeking a job.A. advantageB. chanceC. funD. importance23. the weather, the sports meet will be held on time.A. In favor ofB. Regardless ofC. Apart fromD. Due to34. —I just wonder that made Mark Twain so famous a writer.—Of course his early experiences.A. it was whatB. what he didC. how he didD. what it was35. Never in my wildest dreams _ these people are living in such poor condition.A. I could imagineB. could I imagineC. I couldn’t imagineD. couldn’t I imagine36. ---You shouldn’t have ta ken pictures before the carved stones.---____ .A. Pardon meB. Yes, I willC. Never mindD. Don’t mention it37. —I found my mom not feeling well this morning. I’m afraid she is ill.—_________.A. Don’t worry too muchB. It’s nothing at allC. I’m sorry to hear thatD. Take it easy38. —Good morning，Doctor Brown’s office.—Hello, this is Tom Smith. Could you please tell Doctor BrownI ? My car start.A. was delayed, doesn’tB. will be delayed, won’tC. am delayed, didn’tD. would delay, mustn’t39. When I saw mum nod _______ to me, I calmed down and went on with myacting.A. encouraginglyB. amazinglyC. increasinglyD. accordingly40. In the time of social reform, people’s state of mind tends tokeep with the rapid change of society.A. contactB. progressC. touchD. pace41.I don’t think that your lecture ________ the audience , for they appeared quite puzzled.A. got across toB. got backC. got away fromD. got along with42. When the mother returned from outside three years later, her son, _________ at her, his eyes __________ with tears, finally cried out the words __________ in his heart for long.A. looked; filled; hidingB. looking; filled; hiddenC. looking; filling; hidingD. looked; filling; hidden43. Such good use has been his spare time __ his English has improved a lot.A.made of; thatB.strengthened; asC.underlined; inD.found in; which44. With thorough of its culture and custom in a foreign country, you could easily get along with others.A.a; knowledgeB./; understandingC.a; comprehensionD./; concept 45. The question came up at the conference _____ we should do with the sluggish market.A. whichB. whereC. howD. what46. — When shall we meet, at 6︰00 or at 6︰30? — ________.A. At any time.B. You make the timeC. well, either time will doD. Any time is OK.47. — Are all the titles of the articles ________in the contents?— Yes, all________.A. listed; includedB. listing; includesC. listed; includingD. being listed; being included48. He ________ give up the dictionary than a child would give up a new toy.A. will no longerB. would ratherC. had betterD. would no more49. Every possible ________ advanced technology.A. should be made ofB. should be made useC. use should be made ofD. should make use of50.. The five firemen the director had________ the five people in the fire were highly praised.A. rescueB. rescuedC. to rescueD. had rescued参考答案1—10 DCABA; BCDDA 11—20 CDABB; CBCAA21-30 ABDAD; DBABA 31—40 DABDB; ACBAD41-50 ABAAD; CADCA。
高考数学备考复习 易错题十：直线与圆的方程
高考数学备考复习易错题十：直线与圆的方程一.单选题（共13题；共26分）1.直线mx+ny=4与圆x2+y2=4没有公共点，则过点(m,n)的直线与椭圆的交点的个数是（）A. 至多一个B. 2个C. 1个D. 0个2.若圆C:x2+y2+2x-4y+3=0关于直线2ax+by-4=0对称，则a2+b2的最小值是（）A. 2B.C.D. 13.在平面直角坐标系xOy中,圆C的方程为x2+y2-8x+15=0,若直线y=kx-2上至少存在一点,使得以该点为圆心,1为半径的圆与圆C有公共点,则k的取值范围是（）A. B. k<0或 C. D. 或4.已知圆C:（x+1)2+(y-1)2=1与x轴切于A点，与y轴切于B点，设劣弧AB的中点为M，则过点M的圆C 的切线方程是（）A. y=x+2-B. y=x+1-C. y=x-2+D. y=x+1-5.（2015·湖南）已知点，，在圆上运动，且，若点的坐标为，则的最大值为（）A. 6B. 7C. 8D. 96.（2015·安徽）直线3x+4y=b与圆相切，则b=（）A. -2或12B. 2或-12C. -2或-12D. 2或127.（2015全国统考II）已知三点,则外接圆的圆心到原点的距离为（）A. B. C. D.8.若原点到直线3ax＋5by＋15＝0的距离为1，则的取值范围为（）A. [ 3，4]B. [3，5]C. [1，8]D. (3，5]9.一条光线从点（﹣2，﹣3）射出，经y轴反射后与圆（x+3）2+（y﹣2）2=1相切，则反射光线所在直线的斜率为（）A. ﹣或﹣B. ﹣或﹣C. ﹣或﹣D. ﹣或﹣10.（2016•全国）圆的圆心到直线的距离为1，则a=( )A. B. C. D. 211.已知点P（1，2）和圆C：x2+y2+kx+2y+k2=0，过P作C的切线有两条，则k的取值范围是（）A. k∈RB. k＜C. ﹣＜k＜0D. ﹣＜k＜12.直线L圆x2+（y﹣2）2=2相切，且直线L在两坐标轴上的截距相等，则这样的直线L的条数为（）A. 1B. 2C. 3D. 413.平行于直线2x﹣y+1=0且与圆x2+y2=5相切的直线的方程是（）A. 2x﹣y+5=0B. x2﹣y﹣5=0C. 2x+y+5=0或2x+y﹣5=0D. 2x﹣y+5=0或2x﹣y﹣5=0二.填空题（共4题；共4分）14.已知方程x2+y2+4x﹣2y﹣4=0，则x2+y2的最大值是________15.（2012•江苏）在平面直角坐标系xOy中，圆C的方程为x2+y2﹣8x+15=0，若直线y=kx﹣2上至少存在一点，使得以该点为圆心，1为半径的圆与圆C有公共点，则k的最大值是________．16.（2014•江苏）在平面直角坐标系xOy中，直线x+2y﹣3=0被圆（x﹣2）2+（y+1）2=4截得的弦长为________．17.一动点在圆x2+y2=1上移动时，它与定点B（3，0）连线的中点轨迹方程是________．三.综合题（共2题；共20分）18.在平面直角坐标系xOy中，已知点A（2，4），直线l：x﹣2y+1=0．(1)求过点A且平行于l的直线的方程；(2)若点M在直线l上，且AM⊥l，求点M的坐标．19.如图，在平面直角坐标系xOy中，点A（0，3），直线l：y=2x﹣4．设圆C的半径为1，圆心在l上．(1)若圆心C也在直线y=x﹣1上，过点A作圆C的切线，求切线的方程；(2)若圆C上存在点M，使MA=2MO，求圆心C的横坐标a的取值范围．答案解析部分一.单选题1.【答案】B【考点】直线与圆的位置关系，直线与圆锥曲线的关系【解析】【解答】直线与圆没有公共点，，在圆内部，在椭圆内部，所以过的直线与椭圆有两个交点【分析】判断直线与椭圆的交点个数，需判断直线过的定点与椭圆的位置关系，求解本题利用到了数形结合法，此法在一些选择填空题目中经常用到，可使计算简化，难度适中2.【答案】A【考点】二次函数的图象，二次函数的性质，圆的一般方程，直线与圆的位置关系【解析】【解答】因为圆：关于直线对称，所以直线过圆心（－1,2)，所以－2a+2b－4=0,a=b－2,=2,的最小值是2，故选A。
高考英语单选题易错题搜集整理35道(含答案)
高考英语单选题之“陷阱题”搜集1. The cause he had devoted himself _________a perfect success.A. to provedB. provedC. to proveD. to proving2.We can’t help ________the room because she is busy with her homework.A. to cleanB. cleaningC. cleanedD. being cleaned3.Please tell me the way you thought of _________the garden.A. take care ofB. to take care ofC. taking care ofD. how to take care of4.——Excuse me，sir. Could you tell me the way to the railway station？——Sorry，I’m a stranger here myself. You are supposed to ask，I’m afraid，____is a native.A.some oneB. whoeverC. whoD. whomever5.The Internet gives people the chance to have information they need ___to them quickly and cheaply.A. to deliverB. deliverC. deliveringD. delivered6. ——What do you think made Celia so happy？——___a prize in the recent competition.A. As she wonB. WonC. WinningD. Because of winning7. ——What should I do for our trip？——___some food and fruit.A. PrepareB. To prepareC. PreparingD. Prepared8. ——How often do you eat out？——___，but usually once a week.A. Have no ideaB. It dependsC. As usualD. Generally speaking9.____，I think，and the problem could be settled.A. So long as you keep up your spiritsB.A bit more effortC. If you double you effortD. Making great efforts10.____some of the juice—perhaps you will like it.A. TryingB. TryC. To tryD. Have tried11.___is known to all，good friends ___happiness and value to life.A. It，add toB. It，addC. As，addD. As，add to12.How many years is it ___your English teacher came to work in this school？A. afterB. sinceC. beforeD. until13.In which school was it ____your father received his high school education？A. thatB. whichC. the oneD. where14. Word___me when I wanted to expressed my thanks to him. I just held his hands firmly，choking.A. leftB. encouragedC. remindedD. failed15.In my opinion，the girl _____to be a good dancer if she is well trained in an art school.A. expectsB. hopesC. wishesD.promises16. How I wish I ____ to repair the watch! I only made it worseA. had triedB. hadn’t triedC. have triedD. didn’t try17.—Was it under the tree you were away talking to a friend?—Sure. But when I got back there, the bike was gone.A. whileB. whereC. thatD. which18.In modern times, people have to learn to all kinds of pressure although they are leading a comfortable life.A. keep withB. stay withC. meet withD. live with19.Our game of tennis .We’d been playing for about half an hour when it started to rain very heavily.A. was interruptedB. has interruptedC. had interruptedD. had been interrupted20. The door may fall down any time. We will have it_______.A. madeB. builtC. fixedD. painted21. Some experts think that language learning is much for children as their tongues are more flexible.A. easyB. easierC. easilyD. more easily22. —Is your headache getting ?—No, it’s worse.A. betterB. badC. lessD. well23. —Why didn’t you buy the camera you had longed for?—I had planned to. But I was £50 .A. fewerB. lessC. cheapD. short24. John is the tallest boy in the class, according to himself.A. five foot eight as tall asB. as tall as five foot eightC. as five foot eight tall asD. as tall five foot eight as25. He speaks English well indeed, but of course not a native speaker.A. as fluent asB. more fluent thanC. so fluently asD. much fluently than26. The life he is used to ____________since last year.A. changedB. had changedC. is changingD. has changed27. We’d better not buy the house, for it was too expensive and too big. __________, I’d grown fond of our little rented house where we live.A. BesidesB. ThereforeC. SomehowD. Otherwise28. — We need a room for tonight, and I’d like to take a chance to check in without reservation.— Don’t you know about the jammed hotels in this season? ______.A. Better play it safeB. Do as you pleaseC. No problemD. Think nothing of it29. Experts and teachers all think that failure is not _____ a bad thing to some extent.A. greatlyB. necessarilyC. definitelyD. fully30.It is the respect for universal rights, our respect for different cultures, and our _________ to international laws that guide China's openness to other countries.A. comprehensionB. contributionC. commitmentD. consideration31._______more ways to communicate with your children, and you’ll find they are willing to open their hearts to you.A.FindingB.To findC.FindD.Found32.________ crimes, the police took many actions to scare the thieves.A.PreventB.To preventC. Having preventedD. Prevented33._______ is a fact that English is being accepted as an international language.A.ThereB. ThisC. ThatD.It34. makes the book so extraordinary is the creative imagination of the writing.A. ThatB. WhatC. ItD. Which35.______ is known to all, China will be an advanced and powerful country in 20 or 30 years' time.A WhatB ThatC AsD It答案：1-5 AABBD 6-10 CABBB 11-15 CBADD 16-20 BCADC21-25 BADBC 26-30. DAABC 31-35 CBDBC。
高考英语单选易错题汇总及答案解析一
高考英语单选易错题汇总及答案解析一1. Shakespeare’s play Hamlet into at least ten different films over the past years.A. had been madeB. was madeC. has been madeD. would be made答案解析：C，根据选项可知此题考查时态语态，over the past years 是现在完成时的标志，Hamlet斜体可知它是本书，与make 的关系是被动。
2. ---Do you think Mom and Dad late?--- No, Swiss Air is usually on time.A. wereB. will beC. would beD. have been答案解析：B, 根据选项可知此题考查时态。
答句中的No是根据Swiss Air is usually on time 的猜测。
从问句可知Mom and Dad 还没有到达，所以是对将要发生事情的猜测，属于一般将来时。
句意翻译后为：---你认为妈妈和爸爸会迟到吗？---不会的，瑞士航空通常都是很准时的。
3. Hurry up! Mark and Carl us.A. expectB. are expectingC. have expectedD. will expect答案解析：B，根据选项可知此题考查时态。
Hurry up!快点，快来可知是现在发生的事情，所以是现在进行时态。
4. ---So what is the procedure?--- All the applicants before a final decision is made by the authority.A. interviewB. are interviewingC. are interviewedD. are being interviewed答案解析：C, 根据选项可知此题考查时态语态。
高考生物重点易错题
(每日一练)高考生物重点易错题单选题1、下列关于动植物体内物质运输的说法错误的是（）A．胚芽鞘尖端的生长素极性运输导致其向光弯曲生长B．甲状腺激素经体液运输可作用于下丘脑内分泌细胞C．神经递质经突触间隙的组织液运输后能作用于肌肉或腺体D．唾液淀粉酶由内质网→高尔基体→细胞膜以囊泡形式运输答案：A解析：向光生长的原因是由于尖端在单侧光的刺激下，生长素发生了横向运输，导致背光侧生长素含量多于向光侧，使背光侧生长速度快于向光侧，A错误；甲状腺激素的靶细胞为全身的细胞，甲状腺激素可通过反馈调节作用于下丘脑的内分泌细胞，B正确；效应器是由传出神经末梢及其支配的肌肉或腺体构成的，神经肌肉接点类似突触结构，细胞之间的液体为组织液，故神经递质经突触间隙的组织液运输后能作用于肌肉或腺体，C 正确；唾液淀粉酶为分泌蛋白，由附着在内质网上的核糖体合成，经过内质网的加工后，由内质网形成囊泡运输到高尔基体，经过高尔基体的进一步加工、分类和包装后，由高尔基体形成的囊泡包裹运输到细胞膜，通过胞吐的方式分泌到细胞外，故唾液淀粉酶由内质网→高尔基体→细胞膜以囊泡形式运输，D正确。
所以答案是：A。
生物向性运动的6个警示点：①生长素的产生部位——胚芽鞘尖端。
②发挥作用的部位——尖端下面一段。
③感光部位——胚芽鞘尖端。
④生长素的作用——促进生长。
⑤弯曲生长的原因——生长素分布不均匀，导致生长不均匀。
⑥引起生长素分布不均匀的原因——单侧光照、地心引力等。
2、以测定的CO2吸收量与释放量为指标，研究温度对某绿色植物光合作用与细胞呼吸的影响，结果如图甲所示，下列分析正确的是（）A．光照相同时间，在20℃条件下植物积累的有机物的量最多B．光照相同时间，35℃时光合作用制造的有机物的量与30℃相等C．如果该植物原重Xkg，置于暗处4h后重（X-1）kg，然后光照4h后重（X+2）kg，则总光合速率为3/4kg．h D．若将乙装置中NaHCO3溶液换成蒸馏水，则在黑暗条件下可测得B曲线答案：B解析：A、图甲中的曲线A表示净光合速率随温度的变化，因此有机物积累最多即净光合速率最大时的温度是25℃，A错误；B、在光照时间相同的情况下，30℃时光合作用的总量为3.50mg／h（净合成量）＋3.00mg／h（呼吸消耗量）＝6.50mg／h，35℃时光合作用的总量为3.00mg／h（净合成量）＋3.50mg／h（呼吸消耗量）＝6.50mg／h，二者相同，B正确；C、该植物原重Xg，置于暗处4h后重（X-1）g，说明4h的呼吸消耗是1g，然后光照4h后重（X＋2）g，说明4h的净光合积累是3g，则总光合速率为则总光合速率为（1+3）g/4h=1g/h，C错误；D、将乙装置中 NaHCO3溶液换成氢氧化钠溶液，则在黑暗条件下，植物只进行呼吸作用，不进行光合作用，氢氧化钠溶液可吸收呼吸作用产生的二氧化碳，通过水滴移动的位置可测得B曲线，D错误。
高中英语单选易错题有讲解
1. --- Fine，I've got used to the life there and I've made some friends.A. How are youB. How are you doingC. Are you getting on wellD. How do you do2. ---How do you like the film？---There was nothing special--- it was only ____.A. averageB. usualC. normalD. common3. I can't go to the New Year's concert，________，100 dollars is just too much for me to spend in one evening.A . in other words.B that is.C in particular.D I mean4. There was time I hated to go to school .A.a；thatB.a；whenC.the；thatD.the ；when5. Scientists generally agree that earth's climate will warm up over the next 50 to100 years______ it has warmed in the 20，000 years since Ice Age.A. so long as.B. as much as. C as long as. D as well as6. Now in the market there are too many oranges，making the prices down，so I suggest _____.A.you'd better turn to do other businessB.you would rather turn to other businessC.you turning to doing other businessD.you ought to turn to selling other fruits7. _____ some old tables，his house was almost empty.A. BesidesB. ExceptC. Apart fromD. But8. ----- What's the model plane look like？----- Well，the wings of the plane are ______ of its body.A. more than the length twiceB. twice more than the lengthC. more than twice the lengthD. more twice than the length9. ----- Which share is meant for me ？----- You can take _____ half. They are exactly the same.A. thisB. anyC. eachD. neither10. I_____ violin lessons every two weeks，but I think I ‘ll make it every week from next month.A. am havingB. have hadC. haveD. have been having11. It is fairly common in Africa for there______ a group of expert musicians surrounded by others who also join in the performances.A. beingB. to beC. beD. is12. ----Now that you like the computer so much. Why not buy it？---Well，I can't afford ______computer.A. that expensive aB. a that expensiveC. that an expensiveD. an expensive that13. He has got himself into a dangerous situation ______ he is likely to lose control over the plan.A. whereB. whichC. whereD. why14. ______，the concert began.A. The listeners having taken their seatsB. Having taken their seatsC. Having taken their placesD. Taking their seats15. ---- You shouldn't have gone there alone last night.---- But I ______，because Xiao Wang went there，too.A. didn'tB. had toC. didD. should16. ---- There is a lot of smoke coming out of the teaching-building there.---- Really？It _____ be a fire，most probably.A. canB. ought toC. have toD. must17. If you don't wait _______ the red light，you will be punished by the policeman.A. atB. underC. forD. on18. ________ doesn't seem to have been much difficulty in solving the problem.A. ItB. ThatC. ThereD. He19. Are the parents who let their child who is ______ walk in the dark alone at night considerate？A. young enoughB. too young toC. not old enough toD. so young20. If you want to sell your product you must _____ it.A. advertiseB. advertise forC. advertise onD. advertise to21. ----Any news about Bill Clinton？----He left power three years ago and has a little now and a little then been ______.A. heard of sinceB. heard sinceC. heard beforeD. heard of before22. Professor Liu has ________ teach psychology since he came to the Central China Normal University.A. determination toB. been determined toC. been determining toD. determined to23. The idea for the new machine came to Mr. Baker ______ to his invention recently.A. while devotingB. while devotedC. while he was devotedD. while devoting himself.24. How many of us ______ a meeting that is not important to us would be interested in the discussion？A. attendedB. attendingC. to attendD. have attended25. I can _____ some noise while I'm studying，but I can't stand very loud noise.A. put up withB. get rid ofC. have effects onD. keep away from26. Before leaving home，make sure to turn off the electricity，lock the door，______ the windows open.A. and not to leaveB. instead of leavingC. rather than leaveD. and not leave27. A mysterious illness，referred to as “ a typical phenomena”，has been brought under control，the government said on Wednesday，______ no cause of it has been made public.A. thoughB. whenC. thatD. because28. Space exploration has been made ______ with the development of modern science and technology.A. it possibleB. it was possibleC. that possibleD. possible29. We want such materials ________ can bear high temperature and pressure.A. thatB. asC. whatD. which30. Hardly ___________the door when he rushed into the office out of breath.A.I openedB. did I openC.I had openedD. had I opened31. You will see this product wherever you go.A.to be advertisedB.advertisedC.advertiseD.advertising32. The time is not far away modern communications will become widespread in China's vast countryside.A.asB.untilC.beforeD.when33. —I thought you wouldn't mind.—Well，as a matter of fact I；but you should have asked me first.A.didB.doC.won'tD.don't34. It doesn't matter to me I miss my train，because there's another one later.A.thatB.ifC.unlessD. when35. I realize she can be very troublesome，but I think you should apologize for being so angry with her.A.all the sameB.once in a whileC.in actual factD.all the time36. —Do you think she's going to leave？—The had crossed my mind.A.matterB.hopeC.desireD.thought37.we move the picture over there？Do you think it will look better？A.If onlyB.What ifC.As ifD.Even if38._________ happened to be no one in the building when the fire broke out.A. ItB. ThereC. ThisD.That39. He left with the secretary that he would call again in the afternoon. He said he wouldkeep.A.words；his wordsB.word；his wordC.word；wordD.the word；his word40. I am afraid I am not fit for the job，for it is calling for much patient.A.whichB.whatC.oneD.that41. —Why？Where is the key to the meeting room？—Dear me！You it in the taxi！A.had never leftB.didn't leaveC.never leftD.haven't left42. —I didn't go to the Museum yesterday.—Yes，but I would rather you there too.A.wentB.had goneC.should goD.would have gone43. They _______ a certain amount of working experience through volunteer work.A. attemptedB. accumulatedC. abandonedD. accomplished44. “Hope for the best and prepare for the worst.”is a proverb，______ life is beautiful and full of frustrations as wellA. meansB. to meanC. meaningD. meant45. He proved himself a true gentleman and the beauty of his _______ was seen at its best whenhe worked with others.A. temperB. appearanceC. talentD. character46. Nowadays sending e-mails to each other is a way many a student _______ what they think.A. conveysB. conveyC. accountD. accounts.The athletes spent as much time getting trained as they __ studying.A. wereB. hadC. didD. disliked48. ---He was nearly drowned in a pool.---Oh，when was ___ exactly？--- It was in 1983 ____ he was swimming with his friends.A. this；thatB. that；whenC. that；thatD. what；when49. --- I am going downtown.--- Come on. _________.A. Don't do that.B. You are welcome.C. Come with me.D. I'll give you a lift.50. --- Does anybody want an extra ticket to go to the cinema？--- Whom would you rather ______ with you，George or me？A. have goB. have goneC. to goD. going答案及讲解：1. --- Fine，I've got used to the life there and I've made some friends.A. How are youB. How are you doingC. Are you getting on wellD. How do you do解析：A询问身体状况，B询问工作进展或生活情况如何，从答句“已适应那儿的生活”可知解析B正确。
高考二轮复习必备单项选择易错题集锦(二)解答解析、考点详解.doc
高考二轮复习必备单项选择易错题集锦（二）的正确答案、解答解析、考点详解姓名:_____________ 年级:____________ 学号:______________1.【题文】 101. A shy person dislikes ______ when he or she has to make a speech infront of a large crowd of people.A ．thatB ．this C ．itD ．One【答案】C【解析】略2.【题文】102. ______ I had done it I knew I had made a mistake.A ．HardlyB ．DirectlyC ．MostlyD ．Nearly【答案】B【解析】略3.【题文】103. _____ at the news, the girl said nothing but ______ into the chair and cry.A ．Being shocked; droppedB ．Shocking; droppingC ．Having been shocked; dropD ．Shocked; to drop【答案】D【解析】略4.【题文】104. What do you think _____ to her She is very angry now.A ．did he doB ．he didC ．does he doD ．has he done【答案】B【解析】略105. There is a new problem involved in the popularity of private cars _______ road conditions need to be improved.A．thatB．whichC．whereD．When【答案】A【解析】略6.【题文】106. The method ______ highly effective.A．was provedB．proved asC．proved to beD．is proved to be【答案】C【解析】略7.【题文】107. Put the painting over there. As we know, an oil painting looks better _______.A．in the distanceB．over a long distanceC．at a distanceD．in a distance【答案】C【解析】略8.【题文】108. We spoke in whispers ______ waking the baby.A．for the sake ofB．in the name ofC．for fear ofD．for fear that【答案】C【解析】略9.【题文】109. The information allows businessmen to keep _____ of their list of goods by showing which items are being sold and how fast they are moving.A．sightB．trackC．touchD．Sign【答案】B【解析】略110. --- It is warm and I am just wearing a shirt today.--- But the weather here ____ change.A．canB．shallC．mustD．Should【答案】A【解析】略11.【题文】111. Trees are cut down merely for fuel and wildlife is killed simply for food. It is time to ____ an end to waste.A．call offB．call forC．call inD．call on【答案】B【解析】略12.【题文】112. In all, 57 such trains are expected to be in ____ commercial operation by _____ end of 2009. A．the; theB．a; aC．/; theD．a; the【答案】C【解析】略13.【题文】113. These reporters are so aggressive! _______, they follow movie stars around and take pictures of everything.A．To be practicalB．To be honestC．To be sureD．To be exact【答案】D【解析】略14.【题文】114. If you visited our school this month, you would be amazed to see a modern stadium ___ here. A．is constructingB．were constructingC．is being constructedD．were being constructed【答案】C【解析】略15.【题文】115. --- Here is a ticket for you, Sir.--- _______. I wasn’t speeding.A．Thank you.B．My pleasure.C．What’s the matterD．I’m sorry.【答案】C【解析】略16.【题文】116.--I hope that you can remove the difference between you and Susan and become good friends. -- _________. If only Susan had the same idea.A．My pleasure.B．It’s a pleasure.C．By no meansD．By all means【答案】D【解析】17.【题文】117. Feeling more and more pressure from the environment _______, the government has decided to close down the factories pouring out poisonous chemicals.A．pollutedB．having pollutedC．being pollutedD．having been polluted【答案】C【解析】略18.【题文】118. The United States is trying to _______ the serious problems resulting from the energy crisis. A．step upB．cope withC．cut offD．end up【答案】B【解析】略19.【题文】119. My new boss offers me a much higher salary, ______ I can get a considerable bonus at the end of the year.A．except for thatB．on top of thatC．except for whichD．on top of which【答案】D【解析】略20.【题文】120. --- ________ are your business hours--- From 9:00 a.m. to 5:00 p.m.A．WhatB．HowC．WhichD．Where【答案】A【解析】略21.【题文】121. --- Why do you go to the dancing hall three times a week--- I’ve taken a(n) ______ to dancing.A．interestB．hobbyC．fancyD．Course【答案】C【解析】略22.【题文】122. It was reported that Bin Laden in Afghanistan missed _____ and _____ again.A．to be caught; to break awayB．being caught; breaking awayC．to be caught; broke awayD．being caught; broke away【答案】D【解析】略23.【题文】123.To his surprise, his speech at the meeting ________ the students silent.A．caughtB．tookC．heldD．Keep【答案】C【解析】略24.【题文】124. The key to the success of any film is finding a capable and qualified artistic director, _____ I always hope to be.A．whoB．thatC．whatD．Which【答案】D【解析】略25.【题文】125. Unable to practise their traditions, many young Romans _______ illegal behavior, such as stealing, and were usually the main suspects when anything went missing.A．took inB．took onC．took upD．took to【答案】D【解析】略26.【题文】126. I feel uncomfortable each time I remember the situation _____ Mary didn’t agree with me _____ the matter.A．that; atB．in which; overC．which; aboutD．where; to【答案】B【解析】略27.【题文】127. --- Journalists have to work very quickly in order to _______.--- I know. I like that. It’s very challenging.A．meet their deadlinesB．earn a high salaryC．avoid being firedD．make both ends meet【答案】A【解析】略28.【题文】128. _______ he got the news, Mr. Mathews hurried out of his house, and ______ his car, drove all the way to town.A．When; startedB．The moment; having startedC．Until; startingD．Once; to start【答案】B【解析】略29.【题文】129. Come on, guys. We’ve been working hard and long. Let’s______. Go home and get relaxed.A．call it a dayB．stop the dayC．put off the dayD．cancel the day【答案】A【解析】略30.【题文】130. So fast ______ that we can hardly imagine its speed.A．light travelsB．does light travelC．is light travellingD．light is travelling【答案】B【解析】略31.【题文】131. --- Here , your new computer is ready.--- Thank you.--- ______ to call this number if you have any problems.You’re free B. It is free C. Feel free D. Don’t forget【答案】C【解析】略32.【题文】132. That hotel has 500 beds, but it can ______ more guests than that.A．set upB．put upC．take upD．turn up【答案】B【解析】略33.【题文】133. ________ the global financial crisis, the Chinese government has taken measures ______ people’s life to deal with it.A．Facing with; relatedB．Faced; relating toC．Faced with; relatingD．Facing; related to【答案】D【解析】略34.【题文】134. She may have missed the train, ________ she won’t arrive for another hour.A．in which caseB．in her caseC．in any caseD．in that case【答案】A【解析】略35.【题文】135. Whoever spits in public in Beijing will be fined up to 50 yuan in _______ effort to improve citizens’ behavior ahead of ______ Olympics.A．the; theB．the; /C．/; theD．an; the【答案】D【解析】略36.【题文】136. ---I’ll thank you ______ my affairs _______.--- I will. It’s none of my business.A．for leaving; outB．to leave; aloneC．for leaving; aloneD．to leave; out【答案】B【解析】略37.【题文】137. --- Why are most of us unable to study English well, Mr. Li--- You ______. But you _____ too little attention to it.A．could; payB．will; attachC．would; referD．can; devote【答案】B【解析】略38.【题文】138. Have you heard of it Firefighters rushed into a burning house, three of them unfortunately _____ in and ______ their lives.A．caught; losingB．catching; lostC．caught; lostD．catching; losing【答案】A【解析】略39.【题文】139. Yao Ming is very famous now. However, his basketball career _____ only after many years of hard work.A．took onB．took offC．took upD．took out【答案】B【解析】略40.【题文】140. Mr. Zhang is such a considerate person ______ all his colleagues like to work with. A．thatB．soC．whichD．As【答案】D【解析】略。
(完整word版)高考单选易错题、难题、好题题型专项辅导(附答案)
高考单项选择易错题、难题、好题题型专项指导（附答案）1.By the time you arrive in London, we _____ in Europe for two weeks.A. shall stayB. have stayedC. will have stayedD. have been staying2.I appreciated ____ the opportunity to study abroad two years ago.A. having been givenB. having givenC. to have been givenD. to have given3.Living in the central Australian desert has its problems, _____ obtaining water is not the least.A. of whichB. for whatC. asD. whose4.The heart is ____ intelligent than the stomach, for they are both controlled by the brain.A. not soB. not muchC. much more d. no more5._____ the fact that his initial( 开始的 )experiments had failed, Pro. White persisted ( 坚持 ) in his research.A. Because ofB. As toC. In spite ofD. In views of6.The millions of calculations( 计算 ) involved, had they been don't by hand, _____ all practical value by the time they were finished.A. could loseB. would have lostC. might loseD. ought to have lost7.No bread eaten by man is so sweet as _____ earned by his own labour.A. oneB. thatC. suchD. what8.It isn't cold enough for there _____ a frost tonight, so I can leave Jim's car out quite safely.A. would beB. beingC. wasD. to be9.Tom assured (向保证 ) his boss that he would _____ all his energies in doing this new job.A. call forthB. call atC. call onD. call off10.More than two hundred years ago the United States _____ from the British Empire and became an independent country.11.As your instructor( 教师 ) advised, you ought to spend your time on something ____ researching into.A. preciousB. worthC. worthyD. valuable12. Without the friction (摩擦力) between feet and the ground, people would ____ be able to walk.A. in no timeB. by all meansC. in no wayD. on any account13. We are taught that a business letter should be written in a formal style _____ in a personal one.A. rather thanB. other thanC. better thanD. less than14.______ is generally accepted, economical growth is determined by the smooth development of production.15. John complained to the bookseller that there were several pages ____ in the dictionary.16.Do you enjoy listening to records? I find records are often ____ or better than an actual performance.17.The article opens and closes with descriptions of two news reports, each _____ one major point in contrast with ( 和对比 ) the other.A. makesB. madeC. is to makeD. making18. The number of registered participants in this year's marathon was half _____.A. of last year'sB. those of last year'sC. of those of last year.D. that of last year's19.I was speaking to Ann on the phone when suddenly we were _____.A. hung upB. hung backC. cut downD. cut off20.She wondered if she could have the opportunity to spend ____ here so that she could learn more about the city.A. sometimesB. some timeC. sometimeD. some times.21.Christmas is a Christian holy day usually celebrated on December 25th ____ the birth of Jesus Christ.A. in accordance withB. in terms ofC. in favor ofD. in honor of22.The Social Security Retirement Program is made up of two trust funds( 基金 ,资本 ), ____could go penniless by next year.A. the larger oneB. the larger of whichC. the largest oneD. the largest of which23.I would have gone to visit him in the hospital had it been at all possible, but I ____ fully occupied the whole of last week.A. wereB. had beenC. have beenD. was24.When workers are organized in trade unions, employers find it hard to lay them _____.A. offB. asideC. outD. down25.I can't _____ what has happened to the vegetables, for they were freshly picked this morning.A. figure outB. draw outC. look outD. work out.26.I worked so late in the office last night that I hardly had time ____ the last bus.A. to have caughtB. to catchC. catchingD. having caught27.As it turned out to be a small house party, we ____ so formally(正式地 ).A. needn't dress upB. did not need have dressed upC. did not need dress upD. needn't have dressed up28.I apologize if I ____ you, but I assure you it was unintentional(无心的 ).A. offend( 冲犯 )B. had offendedC. should have offendedD. might have offended.29.Marlin is a young man of independent thinking who is not about ____ compliments to his political leaders.A. payingB. having paidC. to payD. to have paid30.Although a teenager, Fred could resist _____ what to do and what not to do.A. to be toldB. having been toldC. being toldD. to have been told31._____ for the timely investment from the general public, our company would not be sothriving( 兴盛的 ) as it is.32.There were many people present and he appeared only for a few seconds, so I only caught a_____ of him.33.I'm very glad to know that my boss has generously agreed to _____ my debt in return for certain services.34.Smoking is so harmful to personal health that it kills ___ people each year thanautomobile accidents.A. seven more timesB. seven times moreC. over seven timesD. seven times35. This is an exciting area of study, and one ____ which new applications are being discoveredalmost daily.A. fromB. byC. inD. through36.As I'll be away for at least a year, I'd appreciate ____ from you now and thentelling me how everyone is getting along.A hearing B. to hear C. to be hearing D. having heard37. Greatly agitated( 激动的 ), I rushed to the apartment and tried the, ____ to find it locked.A. justB. onlyC. henceD. thus38. If I were in a movie, then it would be about time that I ___ my head in my hands for a cry.A. buryB. am buryingC. buriedD. would bury39.According to one belief, if truth is to be known it will make itself apparent, so one ____wait instead of searching for it.40.So involved with their computers _____ that leaders at summer computer camps often haveto force them to break for sports and games.A. became the childrenB. become the childrenC. had the children becomeD. do the children become41.One of the requirements for a fire is that the material ____ to its burning temperature.A. is heatedB. will be heatedC. be heatedD. would be heated42.Why this otherwise excellent newspaper allows such an article to be printed is ___ me.A. aboveB. outsideC. besideD. beyond43.This book will show the readers ___ can be used in other contexts.A. how that they have observedB. that how they have observedC. how what they have observedD. that they have observed44._____ your opinions are worth considering, the committee finds it unwise to place too much importance on them.A. AsB. SinceC. ProvidedD. While45._____ the claim about German economic might, it is somewhat surprising how relatively small the German economy actually is.A. To giveB. GivenC. GivingD. Having given46.Rebecca______ me earlier if she did not like her house she bought last month.A. toldB. would tellC. had toldD. would have told47.The world's greatest sporting event, the Olympic Games, upholds the amateur that _____ matters is not winning but participating.48.It has been estimated(预计 ) that the earth's surface temperature has increased _____ sone quarter to three quarters of a degree since 1850.49.Iceland lies far north in the Atlantic, with its northern most tip actually ____ the Arctic Circle( 北极圈 ).A. touchedB. touchesC. touchingD. being touched50. Colin married my sister and I married his brother, _____ makes Colin and me double in-laws.A. whatB. whichC. thatD. it51. _____ I admit that there are problems, I don't' think that they cannot be solved.A. UnlessB. UntilC. AsD. While52.The place is an ideal site for a university ______ it is far from the downtown area.A. provided thatB. now thatC. so thatD. in that53.He thought he could talk Mr. Robinson _____ buying some expensive equipment.A. onB. ofC. roundD. into54.Today the public is much concerned about the way ____.A. nature is being ruinedB. which nature is ruinedC. on which to ruin natureD. of nature to be ruined55.When I said goodbye to her, she _____ the door.A. saw me atB. set me offC. sent me toD. showed me to56.In the meantime, the question facing business is whether such research is ____ the costs.A. worthB. worth ofC. worthyD. worthwhile57.The _____ runner can run 2 miles in fifteen minutes.A. commonB. usualC. averageD. general58.David likes country life and has decided to ______ farming.A. go in forB. go back onC. go through withD. go along with59.We should be able to do the job for you quickly, ____ you give us all the necessary information.60. The detective and his assistant have begun to ____ the mysterious murder.A. look intoB. see toC. make overD. come through1-5 CAADC6-10BBDAC11-15 BCADA16-20ADDDB21-25DBBAA26-30BDBCC31-35 ABCBC36-40 ABCDD41-45 CDCDB46-50 DCBCB51-55 DDDAD56-60 ACABA。
英语单项选择单选易错题
英语单项选择单选易错题一、选择题1．The film is worth seeing________second time—it reminds me of ________happy old days I spent in the country.A．the; 不填B．a; the C．a; 不填D．the; the2．— The fact is that there is increase in population.— Yes. Our country has _____ population of 1.3 billion.A．an, a B．the, a C．an, the D．the, the3．Do you think that little boy should know the road safety?A．so B．such C．so a D．such a4．In 1985, Spud became ____ NBA player and then he came____first in the Slam Dunk Contest. A．an; the B．a; the C．an; ／D．a; ／5．As ________ volunteer at the Yangzhou Expo 2021, Wei Hua understands ________ idea of green life better than before.A．a; an B．a; the C．the; an D．the; the6．--- Jim took one-hour ride just now.--- He spent such a short time finishing such a long way!A．a B．an C．the D．/7．This is ______ unusual course that is taught in ______ university, but it’s of no use to the real life.A．an, a B．an, an C．a, an D．a, a8．—Is Russia ________ European country?—Yes, though most of it lies in Asia.A．a B．/ C．an D．the9．The novel The Hunchback of Notre Dame（《巴黎圣母院》）tells us that ________ ugly person may have a beautiful mind.A．/ B．the C．a D．an10．Almost all the people in Binhai, our hometown, work hard to make it ________ better place. A．a B．an C．the D．/二、选择题11．Some friends tried to calm down Mr. and Mrs. White and help solve their problem without hurting the feeling of ________, but failed.A．none B．either C．both D．neither12．He thinks himself ________, but we think him ________.A．somebody, anybody B．somebody, nobody C．anybody, somebody D．anybody, nobody 13．They have provided several ways to solve the problem. We can choose _________ to start with.A．it B．that C．one D．each14．The teacher shared the photos of our school trip on her WeChat Moments. We can see them for ________.A．herself B．himself C．ourselves D．themselves 15．—Are there any air tickets to Hong Kong?—Sorry. There is ________ left.A．nothing B．none C．nobody D．no one 16．—Which would you like to choose for your PE entrance exam, basketball or volleyball?—________. I prefer football.A．Both B．Either C．None D．Neither 17．We’d like to recommend Millie as the Young Star because of ________ effort and kindness. A．our B．ours C．her D．hers 18．Wearing red makes________easy________us to take action.A．it; for B．this; of C．that; for D．it; of三、选择题19．—Searching for information is not a big deal today.—Exactly, the ________ is how we can tell whether the information is true or not. A．advantage B．message C．challenge D．knowledge 20．Rec ently, he seemed to be not himself and gave up many chances. We’d better do something to stop him losing the ________ of his life.A．sense B．course C．direction D．condition 21．— Could you take out the rubbish and do the dishes, Tony?— Sure! Mom will be angry if she sees this ________, I think.A．matter B．mess C．trouble D．difficulty 22．—Michael, could you tell me the way to Haian Museum?—Sorry. But you can download a map app on your phone that can show you ________ and guide you to where you want to go.A．conversation B．location C．invention D．introduction 23．Because plenty of _______ were found, Sanxingdui Ruins was named the Scientific Education Base for China’s Youth (中国青少年科教基地) in March this year.A．standards B．projects C．treasures D．instructions24．I have a poor ________ of direction, so I am afraid to go out alone.A．scene B．silence C．service D．sense25．When autumn comes, the ________ will turn yellow, and fall from the tree. A．mountains B．leaves C．birds D．plants26．The visitor told a very ______story about what he did for a ______in Africa.A．lively；living B．lively；life C．living；living D．alive； live四、选择题27．—I always get the best grade in my class, but I’m feeling stressed.—Why? Are your parents too ________ with you?A．angry B．satisfied C．bored D．strict28．— I got a job in a sales company.—Great! Make yourself ________ so that they don’t want to lose you.A．valuable B．possible C．enjoyable D．comfortable 29．You’ve watched the boring soap opera thousands of times! Why don’t you go outside and find something ________ doing?A．useful B．cheerful C．enjoyable D．worth30．This kind of drink tastes ________ but there’s only ________ in this bottle. I’d like some more.A．good；a little B．well；a little C．good；little D．well；little 31．—How do you feel about the dish?—Look! This is nothing but ________ vegetable soup.A．famous B．wonderful C．unusual D．common32．It’s really ________ that modern technology can help doctors treat patients online! A．private B．famous C．amazing D．traditional33．My English teacher is a___________ lady and she often corrects my pronunciation again and again.A．patient B．creative C．modest D．curious 34．—Jack is such a ________ person that everyone likes him.—He is. He always offers a hand when his neighbours are in trouble.A．curious B．confident C．helpful D．serious35．I hear there will be ________jobs for people because robots will do some of the jobs. A．fewer B．less C．more D．better36．— Are you going to take part in the speech competition?—That’s for sure. It’s _______ a chance to miss.A．small enough B．good enough C．too small D．too good 37．Don’t be angry with your monitor, Tom. He’s just a little ________, but in fact he’s kind to us each.A．polite B．brave C．modest D．strict 38．—Dad, I've tried my best but I still can't solve these problems.—Don't worry, my son. No one is ________ and everyone fails from time to time. A．successful B．confident C．perfect D．excellent五、选择题39．Anyone who can find the clues ________ the case will get a reward of 5,000 yuan.A．with B．to C．at D．from40．—I haven’t bee n to Shenzhen for years.—You really need to pay a visit, and you’ll find changes there are ________ imagination. A．beyond B．through C．without D．for41．— What do you think of those smart kids in the game show?— There is no doubt that many of them have a gift ________ maths.A．for B．in C．on D．at 42．Sometimes I feel stressed because what my parents want me to do has gone ________ my ability.A．through B．against C．above D．beyond六、选择题43．—Hello, this is Taicang Middle School.—I want to talk to Mr. Chen. Can you ________ me ________?A．put…in B．put…out C．put…through D．put…up 44．—We have waited for Tom for half an hour. Why hasn’t he ________ yet?—He may have got lost. Let me call him.A．cheered up B．taken up C．stayed up D．shown up 45．—Aunt Lexie, could you please teach me how to _________ "red envelope" on WeChat?—Certainly. It goes like this.A．give away B．give up C．give back D．give out七、选择题46．—Suzy described every detail of the accident just now.—Her memory ________ be completely back.A．shall B．need C．must D．could 47．—Is it usually warm in Yancheng in May?—Yes. But it _______ be rather cold sometimes.A．must B．should C．would D．can 48．Mr. Black ________ be at home now. He went abroad on vacation last Friday. A．can’t B．mustn’t C．needn’t D．shouldn’t 49．—Mum, I bought some strawberries on my way home.—Oh, you’re so sweet. But the strawberries ________ be put into the fridge for freshness. A．must B．can C．may D．need 50．—The high school entrance examination is coming!— Yes, our teacher tells us we ________ be too careful while taking exams.A．mustn’t B．shouldn’t C．needn’t D．can’t 51．— Is Lang Lang going to perform at Art Center this Friday?— Yes. It ________ be him. He has been here for three days.A．might B．must C．mustn’t D．may 52．— Mom, must I clean my room now?— No, you ________. You can do it after dinner.A．needn’t B．mustn’t C．shouldn’t D．can’t 53．The boy is very brave．I ________ he ________ the tall tree．A．dare say; dares to climbB．dare to say; dare climbingC．dare saying; dares climbD．dare to say; dares climbed54．Think twice before making a decision, or you __________ get into trouble.A．may B．can't C．shouldn't D．mustn't八、选择题55．— terrible mess you have made!—Sorry, I will clear it up right now.A．What B．What a C．How D．How a56．_______ awful the weather is! I’m afraid we have to cancel our sports meeting.A．What an B．What C．How an D．How57．How beautiful ________ dress is ! She must be happy to get it ________ birthday present. A．the; as a B．the; like a C．a; as a D．a; like the 58．You can't imagine amazing they are you see them with your eyes.A．what； unless B．how； unlessC．how； if D．what； if九、选择题59．—________ do you play basketball with your friends?— Only once a week.A．How long B．How much C．How soon D．How often 60．— _______ are you going to the School Uniform Exhibition, Amy ?— To learn about different styles of school uniform.A．What B．Where C．Why D．Which61．— will the project of high-speed railway connecting Xuzhou to Lianyungang be completed?—In about two years.A．How long B．How far C．How soon D．How often62．—I heard that you were a volunteer in Huai'an Marathon. ________ was it?—It was about 42 kilometres.A．How much B．How far C．How long D．How many十、选择题63．— Excuse me, where is the nearest post office? —It’s ________ to the bank, but it ________ for a few days.A．close; has closed B．close; has been closed C．closed; has been closed D．closed; has been close64．The last team of medical workers ________ a warm welcome when returning to Nanjing from Wuhan this April.A．was giving B．was given C．has given D．gave65．— Daddy, when will we go out to fly a kite?— As soon as your homework _________.A．will finish B．will be finished C．is finished D．finishes66．Take it easy! This big experiment _______ several parts for you.A．was divided to B．divided into C．is divided into D．is divided 67．Last March, thousands of trees ______ along the street to make our city more beautiful. A．were planted B．were planting C．would plant D．planted 68．Chinese __________by more and more people in the world now.A．speak B．spoke C．is spoken D．was spoken 69．—The film Coco ________ with the Oscar Award not long ago.—That’s great! It deserves such a high prize.A．presents B．presented C．is presented D．was presented十一、选择题70．— Where is Tom?— Look! He ________with the teacher over there.A．talk B．talks C．talked D．is talking 71．—What’s that noise, Mike?—My little sister ________ with her toy car now.A．plays B．played C．will play D．is playing 72．—Tony, hurry up! We ________ for you now.—Just one minute.A．wait B．waited C．have waited D．are waiting 73．—May I use your computer?—Sorry, I ________ on it.A．work B．worked C．have worked D．am working 74．—Hurry up!—One moment. I ________ my e-mails.A．reading B．am reading C．was reading D．have read 75．—Tom, where's dad?—Oh, he ________ the flowers in the garden.A．waters B．is watering C．watered D．has watered 76．—Where is Frank?—He _________ to music in his room.A．listens B．is listening C．listened D．was listening十二、选择题77．Stephen Hawking had a serious illness, _______ he kept studying physics.A．and B．but C．so D．or78．Tony had a high fever and coughed a lot, ________ his parents took him to hospital at once. A．for B．but C．or D．so79．________ he used to be 200 kilos in the past, he has lost too much weight by exercising now. A．Although B．So C．Until D．But80．2018年上海长宁二模Martin didn't eat up all the food he ordered,________he took the rest away.A．for B．or C．as D．so81．Those who want to lose weight have to exercise every day, _________ they might get fat again.A．though B．if C．so that D．or82．2018年上海崇明二模Please dial 120 immediately,_______ the old man may die soon.A．and B．or C．but D．so十三、选择题83．—Excuse me, can you tell me ________?—Sorry, I don’t know. You can go to the in formation desk.A．that there is a train B．when the train leavesC．where does the train go D．which train can I take84．—Your book is very interesting. Can you tell me ________?—In Xinhua Bookstore next to our school.A．where did you buy it B．why did you buy itC．where you bought it D．why you bought it十四、选择题85．When Tom saw his mother ______ for him on a cold winter night, he couldn’t keep back his tears.A．wait B．waited C．to wait D．waiting86．---Is Jack in the next room ?---It’s hard to say. B ut I heard him _____ loudly when I passed by just now.A．speak B．to speak C．spoken D．speaking 87．The film _______ real-life events ________ by Li An. It’s moving.A．based upon, directed B．based upon, was directedC．was based upon, directed D．was based upon, was directed88．—Is there anything amazing in today’s newspaper?—Yes. By using ordinary computers, NASA scientists are busy________ at home to control a space rover(天体登陆车）on the Red Planet. .A．to programme B．programming C．programme D．with programming 89．----What do you remember about Grade 7 ?----I remember ______ a prize .A．to win B．winning C．win D．wining 90．Nobody can imagine what difficulty we had home in the snowstorm.A．to walking B．to walk C．walked D．Walking91．The girl is often heard ________ in the music room. Her voice sounds beautiful. A．practice singing B．practiced singing C．to practice singing D．to practice sing 92．—I hope to take the DIY course at weekends.—Good idea. ________ more about it, visit the website http://www. . please. A．Know B．To know C．Knowing D．To knowing 93．Sallie rolls up her new trousers carefully _____ them from dust.A．protect B．protecting C．to protect D．to protecting 94．—Why are you so excited today?—Because we were told a school trip this weekend.A．having B．have C．to have D．had95．There ______ a group of people _______on the beach.A．is, lying B．are, lying C．have, laid D．has,lie96．The audience enjoyed the lecture ________ by Hans and Einstein joined in the applause too. A．given B．giving C．to give D．gave十五、选择题97．—I stayed up late to finish my report last night and I feel tired now.—________. Sleep is also important.A．Don’t burn the candle at both ends B．Actions speak louder than words C．Don’t put all your eggs in one basket D．Many hands make light work 98．—Dad, it’s difficult for me to clean the whole yard on my own.— Why not ask your brother for help? ________A．Use it or lose it! B．Knowledge is power!C．Practice makes perfect! D．Many hands make light work!99．一I can’t believe you ha ve finished the work.一My friends helped me out. Just as the saying goes,”__________.”A．Practice makes perfectB．Put all your eggs in one basketC．Burn the candle at both endsD．Many hands make light work100．—It shouldn’t take long to clear up after the party if we all volunteer to help.—That’s right. ________.A．Don’t burn the candle at both ends B．No pain, no gainC．Don’t put all your eggs in one basket D．Many hands make light work【参考答案】一、选择题1．B解析：B【详解】句意：这部电影值得再看一遍——它让我想起了我在乡下度过的快乐时光。
单选练习易错题集锦
单选练习易错题集锦1.He was a good swimmer so he ________ swim to riverbank when the boat sank.A. couldB. mightC. wouldD. was able to2. ---Is he ______ to come to the meeting? ---- I suppose not.A. possibleB. probableC. likelyD. maybe3. By two o’clock that afternoon they had come to the foot of a _______.A. mountain 2000 meters tallB. 2000—meter—tall mountainC. mountain 2000 meters highD. 2000-meters-high mountain4. He is very sensitive ___ his pupils need ___ encouragement and knows when to praise them.A. to; forB. for; toC. to; aboutD. about; to5. ---When can I come for the photos? I need them tomorrow afternoon.--- They ________be ready by tomorrow noon.A. canB. shouldC. mightD. need6. ______ smooth, the silk sells well.A. FeltB. Being feltC. To feelD. Feeling7. ---Are you satisfied with her answer?--- Not at all. It couldn’t have been _______.A. worseB. so badC. betterD. the worse8. ---When shall we start?--- Let’s _______ it 8:30. Is that all right?A. setB. meetC. makeD. take9. He spent every minute he could spare on books _______ an entrance prize to a college.A. to winB. wonC. winning .D. wining10. I was here just because I was __________ the march yesterday.A. onB. inC. atD. for11. Johnson ________ for 5 years for political reasons when he was young.A. was put in prisonB. was in the prisonC. got out of prisonD. was in prison12. He ________ me the car ________ one million dollars.A. provided; withB. offered; forC. supplied; toD. gave; at13. He looked down and caught a man ________ his hand into the pocked of a passenger.A. putB. to being putC. to putD. putting14. I can’t stand _________ so loud a noise in the quiet library.A. his makingB. he madeC. for him to makeD. he make15. The book _________ forty maps, _________ three of Great Britain.A. contains; includesB. is containing; inc ludingC. includes; containsD. contains; including16. The traveler, ___________ inexperienced, doesn’t know how to plan a trip.A. to beB. beingC. isD. as being17. _________ from Pairs, he started his work on a new book.A. ReturnB. As soon as returningC. At returningD. On returning18. __________ it is to go for a picnic on such a fine day!A. What a funB. What funC. How funD. How a fun19. In these days, the old woman _________ sit at he gate for hours, waiting for her to return from the front.A. couldB. shouldC. might d would20. How long will the fine weather ________?A. last for B continue C. go D mange21. While he was at ____ college, he took part in the march, and was soon thrown into _____prison.A. the; /B. /; theC. /; /D. the; the22.--- Are all the people in the car injured?---- No, _______ only the two passengers who got hurt.A. it wereB. there wasC. there isD. it was23. --- Can I help you?--- I’d like to buy a present for my father’s birthday, _____ at a proper price but of great use.A. itB. everythingC. oneD. that24. The news was a terrible blow to her, but she’ll ______ the shock soon.A. recoverB. recover fromC. get overD. get through25. In the 2004 Shanghai Industrial Fair, ________ electronic equipment, good in both quality and style, will be shown.A. a large number ofB. a good manyC. supplies ofD. mass of26. Mr. Read made up his mind to devote all he had to ________ some schools for poor children.A. set upB. setting upC. have set upD. having set up27. Several weeks had gone by _________ I realized the painting was missing.A. asB. sinceC. beforeD. when28. While reading, ___________.A. pictures will form in your mindB. you’ll have some pictures forming in your mindC. there will be pictures form in your mindD. pictures have formed in your mind29. When the bees came back to the hive, V an Frisch saw a curious _______.A. viewB. sightC. sceneD. scenery30. Little Tenny won’t take the bitter medicine even if ________.A. making to doB. is made toC. made toD. making to31. Can you _______ me a job, when I get there?A. guaranteeB. provideC. arrangeD. apply32. Would you please make me ______? I need time to think about the problems carefully.A. leave aloneB. left aloneC. leaving aloneD. to leave alone33. He couldn’t see the words on the blackboard clearly, _______ at the back of the speech room, which is big enough to accommodate 1,400 listeners.A. seatedB. sittingC. seatingD. sat34. Li Hua ______ one of the cleverest students in his class.A. is considered to beB. is considered beingC. considersD. considers being35. ---We haven’t heard from Jane for ages.--- What do you suppose __________ to her?A. was happeningB. to happenC. has happenedD. having happened36. Would you like to ________ and have a cup of tea?A. call onB. drop inC. call upD. call at37. Everyone here will thank the firefighters for the things they have done to prevent fires _________ the environment safer.A. makeB. to makingC. to makeD. from making38.--- Carol Walker didn’t turn up last time, did she?--- No, she _______. We had changed our plan.A. should n’t have comeB. needn’t have to comeC. didn’t need to comeD. needn’t have come39. __________ is known to everybody, the moon travels round the earth once every month.A. ItB. AsC. ThatD. What40. More than one house________ burnt down in the fire.A. wereB. wasC. hasD. are41. Who did the teacher have _______ an article for the wall newspaper just now?A. writtenB. writingC. writeD. to write42. --- How did you manage to catch the train?--- I took a taxi and just _______.A. made itB. fixed itC. that was itD. got it43. Winter is cold, which is a _________ sense.A. generalB. commonC. usualD. ordinary44. The man was said to _________ prison, but the other two ___________.A. be put in; got upB. go to; got offC. be thrown into; got awayD. be sent in; got out45. _________ little water is not enough for ________ many birds. _______ little birds can not have ______ much.A. Such, such, Such, soB. So, so, so, SuchC. Such, so, Such, soD. So, so, Such, so46. I have never considered ______ her to join in our game.A. inviteB. to inviteC. invitingD. invited47. --- Is this the radio you wish to ________ ?--- Y es, it hasn’t worked for three days.A. have it repairedB. have repairC. have repairedD. have it repair48. --- What a pity--- my new computer doesn’t work.--- _______ must be something wrong with it.A. ItB. ThereC. ThisD. That49. Once you ______ used to the weather here, you _______ to live here.A. get; will probably likeB. will get; will probably likeC. got; will probably likeD. had got; had probably liked50. As ______ matter of fact, _________ beauty of ________ nature there made an excellent impression on me.A. a; the; /B. a; the; theC. the; the; /D. a; /, the51. _________ is mentioned above, the number of the students in senior school is increasing.A. WhichB. AsC. ThatD. It52. As we all know from the map of China, Jiang su province is _________ in area.A. twice as large as Gansu provinceB. twice larger as Gansu provinceC. as twice large as Gansu provinceD. twice as a large province as that53. Daddy still has a bit of cold, but __________ the family are all well.A. orB. otherwiseC. howeverD. then54. He wanted the wall _______.A. to paint into yellowB. to paint yellowC. painted into yellowD. painted yellow55. What way are you thinking of _______ rid of bad habit?A. to getB. gettingC. being gotD. to be getting56. Would you be _______ to do it for us all?A. as kindly asB. so kind asC. so kind thatD. such kindly that57. We send our children to school to prepare them for the time ______ they will grow up and will have to work for themselves.A. whileB. beforeC. untilD. when58. Almost every weekend Joe had to ______ his girlfriend _______ the supermarket to buy clothes though he didn’t want to.A. accompany with; to go toB. accompany; to go toC. accompany with; toD. accompany; to59. Our city has a long history; the large building ________ in the front of our school ________back to 1,000 years ago.A. stands; datesB. stands; datingC. standing; datesD. standing; dating60. This kind of weather ________ me.A. doesn’t fitB. doesn’t agree withC. doesn’t agree toD. doesn’t suit61. He sensed the presence of this _________ that he had been pursuing for so long.A. mysterious somethingB. something mysteriousC. something of mysteryD. mysterious of something62. His parents do hope _________ a useful man.A. him to beB. he to beC. he will beD. he would be63. I had no choice but ________ there alone.A. walkingB. walkedC. to walkD. walk64. --- _________ he come in?--- No, tell him to wait outside.A. CanB. MayC. WillD. Shall65. He _________ in love with Jane for ten years before he ______ her.A. had fallen; got marriedB. had been; was married withC. had been; marriedD. had fallen; got married to66. It was five o’clock in the afternoon ________ they arrived at the hotel.A. sinceB. thatC. whenD. before67. He is interested in playing football. ______ his brother and me.A. So doB. So areC. So it is withD. Nor do68. Do you know the difficulty he had _________ the family?A. supportedB. supportingC. to supportD. support69. Wood will get ______ if it is put quite close to a fire.A. burnB. burntC. burnedD. burning70. Y ou man have these bananas, but one _________.A. at a timeB. at timesC. at one timeD. at the same time71. The pole is four feet longer than we need. So we have to ________ the extra length.A. cut offB. cut upC. cut awayD. cut down72. Why should I envy _______ Hangzhou? I’ve been there three times.A. his trip ofB. him trip forC. the trip ofD. him his trip to73. ________ it with me and I’ll see what I can do.A. When leftB. LeavingC. If you leaveD. Leave74. It is necessary that everyone here _________ for his own experiment.A. must get readyB. get readyC. gets readyD. must get prepared75. Many words have been _______ this newly revised edition of the dictionary.A. added up toB. added toC. added upD. added in76. Miss Gao is ______ a foreign teacher coming from America. She is still a head mistress.A. no more thanB. not more thanC. not less thanD. more than77. She is one of the few girls who _______ in the kindergarten.A. is well paidB. are well paidC. is paying wellD. are paying well78. Life is a ________ from birth to death.A. journeyB. voyageC. tripD. tour79. It took the worker hours to take the machine _______ in order to repair it.A. outB. apartC. offD. over80. His father sent him to Paris to study _______.A. lawB. the lawC. a lawD. laws81. --- I’ll go on Monday by the slow train.--- Y ou may just _______ wait till Tuesday and go on the fast one.A. as wellB. rather thanC. much betterD. or else82. Haven’t I told you already that you _______ have my answer tomorrow morning?A. mayB. mustC. willD. shall83. Only in this way can you ______ your classmates, otherwise you’ll fall behind in your studies.A. make up withB. keep up withC. catch up withD. stay up with84. Not only ________, but also _________.A. they sang; they dancedB. did they sing; they dancedC. they sang; did they danceD. did they sing; did they dance85. China is larger than ______ in Asia.A. any countryB. any other countriesC. any country elseD. any countries else86. --- Why didn’t you tell me what had happened to you?--- ________, but I was afraid that you would worry.A. I hoped soB. I wouldC. I’d like to.D.I’d like to have.87. Come and see me whenever ___________.A. you are convenientB. you will be convenientC. it is convenient to youD. it will be convenient to you88. In such dry weather, the flowers will have to be watered if they ________.A. have survivedB. are to surviveC. would surviveD. will survive89. --- Do you know our town at all?--- No, this is the first time I ________ here.A. wasB. have beenC. cameD. am coming90. --- We could have walked to the station. It was so near.--- Y es, a taxi ________ at all necessary.A. wasn’tB. hadn’t beenC. wouldn’t beD. won’t be91. --- Y our phone number again? I _______ quite catch it.--- It’s 94567878.A. didn’tB. couldn’tC. don’tD. can’t99. --- Come in, Peter. I want to show you something.--- Oh, how nice of you! I _______ you _______ to bring me a gift.A. never think; are goingB. never thought; were goingC. didn’t think, were goingD. hadn’t thought, were going100. __________ as he is, he found it hard to translate the report.A. An English teacherB. A English teacherC. The English teacherD. English teacher101. The question came up at the meeting __________ we had enough money for our school.A. thatB. whatC. whichD. whether102. Lizzie was ______ to see her friend off at the airport.A. a little more thanB. more than a little sadC. sad more than a littleD. a little more sad than103. ________ of the villages stands a tower.A. NorthB. The northC. In northD. On north104. Over time, she ________ all the hardships and gradually learns the meaning of life.A. gets throughB. goes byC. find outD. breaks into105. --- Does anybody want an extra ticket to go to the party?--- Whom would you rather ________, George or me?A. have to goB. have goC. have goneD. go106. _________ many times but he still couldn’t understand it.A. Having been toldB. He was toldC. Though had been toldD. Having told107. _________ many times , he still couldn’t understand it.A. Having been toldB. He was toldC. Though had been toldD. Having told108. The great writer wrote his first novel ________.A. in his thirtiesB. in the thirtiesC. in his thirtyD. in the thirty109. In the office I never seem to have time until 5:30 p.m., ________ many people have gone home.A. whose timeB. thatC. on whichD. by which time110. The form needs _______ in ink.A. filling inB. to fill inC. being filled inD. to be filled111. He can speak four languages, _________, Chinese, English, French and Spanish.A. for exampleB. such asC. for instanceD. namely112. The customer can pay _________ as the manager asks for.A. as high a priceB. as high as a priceC. as highly a priceD. as a high price113.--- Do you think it is going to rain over the weekend?--- _________.A. I don’t believeB. I don’t believe itC. I believe not soD. I believe not114. --- English has a large vocabulary, hasn’t it?--- Y es, _______ more words and expressions and you will find it easier to read and communicate.A. knowB. knowingC. To knowD. Known115. Paul doesn’t have to be made ________. He always works hard.A. learnB. to learnC. learnedD. learning116. Travel _______ if possible.A. lightsB. lightedC. lightingD. light117. The best way to help _________ disabled is often simply ________ matter of opening doors or offering guidance.A. /,theB. a, theC. the, /D. the, a118. _________ by governments and business first, a new technology takes some time to enter everyday life.A. Being usedB. To useC. Having usedD. Used119. My father has been very busy recently. It is often not until mid-night ________ he comes back home.A. whenB. whichC. thatD. what120. --- It is said that the company has had another excellent year, isn’t it?--- Y es, it’s quite true. The production rose ________ 60%.A. withB. byC. ofD. through121. ________ is no use __________ about it with him.A. There, to arguingB. That, to argueC. It, to argueD. It, arguing122. The book Miss Black is fond of ________ the city library.A. belong toB. belongs toC. belonging toD. to belong to123. --- What caused him to burst into tears?--- ________.A. Because he failed the examB. He failed in the examC. His failing in the examD. As far as I know, he didn’t pass the exam.124. --- Have we ________ food?--- Y es, ________. We’d better buy some.A. run out of, we have run it outB. run out of, our food has run outC. run out of, our food has been run outD. run out, our food has run out125. I wanted some string but there was ________ in the house.A. nothingB. noneC. no oneD. not one126. U.K. _________ the United States.A. stand forB. stands forC. on behalf ofD. are on behalf of127.The letters of U.K. _________ the United States.A. stand forB. stands forC. on behalf ofD. are on behalf of128. ________ made the teacher angry.A. He being lateB. His being lateC. Him being lateD. He late129. He understands Chinese but can’t speak it. _________.A. So does itB. Nor can sheC. So she doesD. So it is with her130. We finally agreed ________ the price of the car after a heated discussion.A. inB. toC. withD. on。
高考数学易错题专项突破__易错点26空间向量含解析
易错点26 空间向量一、单选题1. 已知向量a⃗⃗⃗⃗ =(2,−3,0),a ⃗⃗⃗⃗ =(0,3,4),则向量a ⃗⃗⃗⃗ 在向量a ⃗⃗⃗⃗ 方向上的投影数量为 A. −9√1313B.9√1313C. 95D. −952. 如图,在平行六面体aaaa −a′a′a′a′中,若aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,aa′⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,则aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ = A. −12a⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ B. 12a⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ C. −12a ⃗⃗⃗⃗ −12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ D. 12a ⃗⃗⃗⃗ −12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ 3. 三棱柱aaa −a 1a 1a 1中,aa =3,aa =1,aa 1=2,∠a 1aa =∠a 1aa =60°,∠aaa =90°.则异面直线a 1a 与aa 1所成角的余弦值为A. 0B. 15C. 13D. 254. 在空间直角坐标系a −aaa 中,a (0,0,0),a (2√2,0,0),a (0,2√2,0),B 为EF 的中点,C为空间一点且满足|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=3,若cos <aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ >=16,,则aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ = A. 9B. 7C. 5D. 35. 如图,在直三棱柱aaa −a 1a 1a 1中,∠aaa =a2,aa =aa =aa 1=1,已知G 与E 分别为a 1a 1和aa 1的中点,D 和F 分别为线段AC 和AB 上的动点(不包括端点),若aa ⊥aa ,则线段DF 的长度的平方取值范围为A. (1,√2)B. [15,12)C. (15,√22)D. [15,1)PD⃗⃗⃗⃗ ,则BE⃗⃗⃗⃗ =6.如图,在正四棱锥a−ABCD中,已知PA⃗⃗⃗⃗ =a⃗⃗⃗⃗ ,PB⃗⃗⃗⃗ =a⃗⃗⃗⃗ ,PC⃗⃗⃗⃗ =a⃗⃗⃗⃗ ,PE⃗⃗⃗⃗ =12A. B.C. D.7.在下列命题中：①若向量a⃗⃗⃗⃗ ,a⃗⃗⃗⃗ 共线,则a⃗⃗⃗⃗ ,a⃗⃗⃗⃗ 所在的直线平行；②若向量a,a所在的直线是异面直线,则a,a一定不共面；③若三个向量a⃗⃗⃗⃗ ,a⃗⃗⃗⃗ ,a⃗⃗⃗⃗ 两两共面,则a⃗⃗⃗⃗ ,a⃗⃗⃗⃗ ,a⃗⃗⃗⃗ 三个向量一定也共面；④已知三个向量a,a,a,则空间任意一个向量a⃗⃗⃗⃗ 总可以唯一表示为a⃗⃗⃗⃗ =a a⃗⃗⃗⃗ +a a⃗⃗⃗⃗ +a a⃗⃗⃗⃗ ．其中正确命题的个数为A. 0B. 1C. 2D. 38.点a(a,y,a)满足√(a−1)2+(a−1)2+(a−1)2=2,则点P在A. 以点(1,1,−1)为圆心,√2为半径的圆上B. 以点(1,1,−1)为中心,√2为棱长的正方体内C. 以点(1,1,−1)为球心,2为半径的球面上D. 无法确定二、填空题9.在长方体aaaa−a1a1a1a1中,aa1=2,aa=4,aa=6,如图,建立空间直角坐标系a−aaa,则该长方体的中心M的坐标为________．10. 在空间直角坐标系中,正方体aaaa −a 1a 1a 1a 1的顶点A 的坐标为(3,−1,2),其中心M 的坐标为(0,1,2),则该正方体的棱长等于 ．11. 已知a ∈a ,a ∉a ,PA ⃗⃗⃗⃗ =(−√32,12,√2),平面a 的一个法向量a ⃗⃗⃗⃗ =(0,−12,−√2),则直线PA 与平面a 所成角的余弦值为_________．12. 平行六面体aaaa −a 1a 1a 1a 1中,向量aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ 两两的夹角均为60°,且|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=1,|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=2,|aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=3,则|aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗|等于______ 三、解答题13. 如图,在空间直角坐标系中,aa 1//aa 1//aa 1,且aa 1⊥平面xOy ,|aa |=|aa |=1,∠aaa =90∘,aa 1=2,M ,N 分别是a 1a 1,aa 1的中点．(1)求点M 、N 的坐标及MN 的长； (2)求aaaa 的面积．14.已知向量,．(1)当a a⃗⃗⃗⃗ +a⃗⃗⃗⃗ 与3a⃗⃗⃗⃗ +2a⃗⃗⃗⃗ 平行时,求实数a的值；(2)当a⃗⃗⃗⃗ +a a⃗⃗⃗⃗ 与3a⃗⃗⃗⃗ +a⃗⃗⃗⃗ 垂直时,求实数a的值．15.如图,在多面体ABCDEF中,梯形ADEF与平行四边形ABCD所在平面互相垂直,aa//aa=1,aa=√2．aa,aa⊥aa,aa⊥aa,aa=aa=12(1)求证：aa//平面CDE；(2)判断线段BE上是否存在点Q,使得平面aaa⊥平面BEF？若存在,求出aa的值,若aa 不存在,说明理由．16.在三棱柱aaa−a1a1a1中,M为棱aa1的中点,E,P分别在线段AB,EG上,a1a1=a 1a =a 1a 1=2,∠a 1a 1a =120°．(Ⅰ)若P 为线段aa 1的中点,求证：aa //平面ABC ；(Ⅱ)若平面a 1a 1aa ⊥平面a 1aaa 1,且a 1a 1aa 为正方形,设E 为线段AB 的中点,P 为线段aa 1的中点,求二面角a 1−a 1a −a 的平面角的余弦值一、单选题1. 已知向量a⃗⃗⃗⃗ =(2,−3,0),a ⃗⃗⃗⃗ =(0,3,4),则向量a ⃗⃗⃗⃗ 在向量a ⃗⃗⃗⃗ 方向上的投影数量为 A. −9√1313B.9√1313C. 95D. −95【答案】D【解析】解：∵向量a⃗⃗⃗⃗ =(2,−3,0),a ⃗⃗⃗⃗ =(0,3,4), ∴|a ⃗⃗⃗⃗ |=√02+32+42=5,a ⃗⃗⃗⃗ ·a ⃗⃗⃗⃗ =2×0+(−3)×3+0×4=−9, ∴向量a ⃗⃗⃗⃗ 在向量a ⃗⃗⃗⃗ 方向上的投影为a ⃗⃗⃗⃗ ·a ⃗⃗⃗⃗|a⃗⃗⃗⃗ |=−95． 故选D ．2. 如图,在平行六面体aaaa −a′a′a′a′中,若aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,aa′⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,则aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ = A. −12a⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ B. 12a⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ C. −12a⃗⃗⃗⃗ −12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ D. 12a ⃗⃗⃗⃗ −12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ 【答案】A【解析】解：∵在平行六面体aaaa −a′a′a′a′中,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,aa′⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,∴aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =aa′⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ +a′a ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =aa′⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ +12aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗=aa′⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ +12(aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ )=a ⃗⃗⃗⃗ +12(−a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ ) =−12a ⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ ． 故选A ．3. 三棱柱aaa −a 1a 1a 1中,aa =3,aa =1,aa 1=2,∠a 1aa =∠a 1aa =60°,∠aaa =90°.则异面直线a 1a 与aa 1所成角的余弦值为A. 0B. 15C. 13D. 25【答案】A【解析】解：a 1a ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗=aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ −aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ −aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ a 1a ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ −aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ )⋅(aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ −aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ )=(aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ −aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ )⋅(aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ −aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ )=aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ 2−aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ −aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ −aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ 2=12−0+1×2×cos 60°−1×2×cos 60°+3×2×cos 60°−22 =1+3−4 =0,∴a 1a ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⊥aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,即异面直线a 1a 与aa 1所成角为90°, ∴cos 90°=0, 故选A ．4. 在空间直角坐标系a −aaa 中,a (0,0,0),a (2√2,0,0),a (0,2√2,0),B 为EF 的中点,C为空间一点且满足|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=3,若cos <aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ >=16,,则aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ = A. 9 B. 7C. 5D. 3【答案】D【解析】解：设a (a ,y ,a ),因为a (0,0,0),a (2√2,0,0),a (0,2√2,0),B 为EF 的中点,则a (√2,√2,0),aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(−2√2,2√2,0),aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(a −√2,a −√2,a ),因为|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=3,若cos ⟨aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⟩=16,所以√a2+a2+a2=√(a−√2)2+(a−√2)2+a2=3,−2√2(a−√2)+2√2(a−√2)+0×a4×3=16,解得a=√24,a=3√24,a=±√312,所以aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ =0×√24+2√2×3√24±√312×0=3,故选D．5.如图,在直三棱柱aaa−a1a1a1中,∠aaa=a2,aa=aa=aa1=1,已知G与E分别为a1a1和aa1的中点,D和F分别为线段AC和AB上的动点(不包括端点),若aa⊥aa,则线段DF的长度的平方取值范围为A. (1,√2)B. [15,12) C. (15,√22) D. [15,1)【答案】D【解析】解：建立如图所示的空间直角坐标系,则a(0,0,0),a(0,1,12),a(12,0,1),a(a,0,0),a(0,y,0)∴aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(−12,a,−1),aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(a,−1,−12)∵aa⊥aa,∴a+2a−1=0, ∴a=1−2aaa=√a2+a2=√(1−2a)2+a2=√5a2−4a+1=√5(a−25)2+15∵0<a<1∴当a=25时,线段DF长度的最小值是√5又a=0时,线段DF长度的最大值是1而不包括端点,故a =1不能取； 故线段DF 的长度的取值范围是：[√55,1)． 即线段DF 的长度的平方取值范围为[15,1), 故选：D ．6. 如图,在正四棱锥a −ABCD中,已知PA ⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,PB ⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,PC ⃗⃗⃗⃗ =a ⃗⃗⃗⃗ ,PE ⃗⃗⃗⃗ =12PD ⃗⃗⃗⃗ ,则BE ⃗⃗⃗⃗ = A. B. C.D.【答案】A【解析】解：如图,连接AC ,BD ,设交点为O ,连接PO ,则aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ =12a ⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ .又aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =12aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ ,所以aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a ⃗⃗⃗⃗ +a ⃗⃗⃗⃗ −a ⃗⃗⃗⃗ , 故aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ =12aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =12a ⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ −12a ⃗⃗⃗⃗ ,从而aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =12a ⃗⃗⃗⃗ −32a ⃗⃗⃗⃗ +12a ⃗⃗⃗⃗ , 故选A ．7. 在下列命题中：①若向量a⃗⃗⃗⃗ ,a ⃗⃗⃗⃗ 共线,则a ⃗⃗⃗⃗ ,a ⃗⃗⃗⃗ 所在的直线平行； ②若向量a ,a 所在的直线是异面直线,则a ,a 一定不共面；③若三个向量a⃗⃗⃗⃗ ,a ⃗⃗⃗⃗ ,a ⃗⃗⃗⃗ 两两共面,则a ⃗⃗⃗⃗ ,a ⃗⃗⃗⃗ ,a ⃗⃗⃗⃗ 三个向量一定也共面； ④已知三个向量a ,a ,a ,则空间任意一个向量a⃗⃗⃗⃗ 总可以唯一表示为a ⃗⃗⃗⃗ =a a ⃗⃗⃗⃗ +a a ⃗⃗⃗⃗ +a a ⃗⃗⃗⃗ ．其中正确命题的个数为 A. 0 B. 1C. 2D. 3【答案】A【解析】解：对于①：根据两向量共线定义知道,两向量共线有可能两向量所在的直线重合,所以此命题错误；对于②：两个向量可以平移到一个平面内,所以此命题错误；对于③：若三个向量a ,a ,a 两两共面,这三个向量有可能不共面,所以此命题错误； 对于④：根据空间向量的基本定理知道,这三个向量要不共面才可以,所以此命题错误, 故选A ．8. 点a (a ,y ,a )满足√(a −1)2+(a −1)2+(a −1)2=2,则点P 在A. 以点(1,1,−1)为圆心,√2为半径的圆上B. 以点(1,1,−1)为中心,√2为棱长的正方体内C. 以点(1,1,−1)为球心,2为半径的球面上D. 无法确定 【答案】C【解析】解：√(a −1)2+(a −1)2+(a +1)2=2的几何意义是到定点(1,1,−1)的距离为2的动点a (a ,y ,a )的集合,则点P在以点(1,1,−1)为球心,2为半径的球面上．故选C．二、填空题9.在长方体aaaa−a1a1a1a1中,aa1=2,aa=4,aa=6,如图,建立空间直角坐标系a−aaa,则该长方体的中心M的坐标为________．【答案】(2,3,1)【解析】解：在长方体aaaa−a1a1a1a1中,aa1=2,aa=4,aa=6,如图,建立空间直角坐标系a−aaa,则a(0,0,2),a(4,6,0),∴该长方体的中心M的坐标为a(2,3,1)．故答案为：(2,3,1)．10.在空间直角坐标系中,正方体aaaa−a1a1a1a1的顶点A的坐标为(3,−1,2),其中心M的坐标为(0,1,2),则该正方体的棱长等于．【答案】2√393【解析】解：设正方体的棱长为a,由|aa|=√9+4+0=√13,可知,正方体的体对角线长为√3a=2√13,故a=2√13√3=2√393．故答案为2√393．11.已知a∈a,a∉a,PA⃗⃗⃗⃗ =(−√32,12,√2),平面a的一个法向量a⃗⃗⃗⃗ =(0,−12,−√2),则直线PA与平面a所成角的余弦值为_________．【答案】12【解析】解：由题意,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(−√32,12,√2)与法向量a ⃗⃗⃗⃗ =(0,−12,−√2)夹角余弦值的绝对值, 即为直线PA 与平面a 所成角的正弦值, 设直线PA 与平面a 所成角为a ,,则=|−1−2|2(2)2)=√32,．故答案为12．12. 平行六面体aaaa −a 1a 1a 1a 1中,向量aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ,aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ 两两的夹角均为60°,且|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=1,|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=2,|aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=3,则|aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗|等于______ 【答案】5【解析】解：如图：∵平行六面体aaaa −a 1a 1a 1a 1中, 向量aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ 、aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ 、aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ 两两的夹角均为60°, 且|aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=1,|aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=2,|aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=3, ∴aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ , ∴aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ 2=(aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ )2=aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ 2+aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ 2+aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ 2+2aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +2aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ +2aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⋅aa 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗=1+4+9+2×1×2×aaa60°+2×1×3×aaa60°+2×2×3×aaa60°=25,∴|aa1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ |=5．故答案为5．三、解答题13.如图,在空间直角坐标系中,aa1//aa1//aa1,且aa1⊥平面xOy,|aa|=|aa|=1,∠aaa=90∘,aa1=2,M,N分别是a1a1,aa1的中点．(1)求点M、N的坐标及MN的长；(2)求aaaa的面积．【答案】解：(1)a(1,0,0),a(0,1,0),a1(1,0,2),a1(0,1,2),因为M,N是a1a1,aa1的中点,结合中点坐标公式可得：a(12,12,2)a(1,0,1),所以|aa|=√(12−1)2+(12−0)2+(2−1)2=√62．(2)因为a(0,1,0),|aa|=√(0−1)2+(1−0)2+(0−1)2=√3,|aa|=√(0−12)2+(1−12)2+(0−2)2=3√22,由aa2+aa2=aa2,所以aaaa是直角三角形,所以a aaaa=12|aa||aa|=12×√3×√62=3√24．14.已知向量,．(1)当a a⃗⃗⃗⃗ +a⃗⃗⃗⃗ 与3a⃗⃗⃗⃗ +2a⃗⃗⃗⃗ 平行时,求实数a的值；(2)当a⃗⃗⃗⃗ +a a⃗⃗⃗⃗ 与3a⃗⃗⃗⃗ +a⃗⃗⃗⃗ 垂直时,求实数a的值．【答案】解：(1)由已知得a a⃗⃗⃗⃗ +a⃗⃗⃗⃗ =(2a−1,5−3a,−3−2a),3a⃗⃗⃗⃗ +2a⃗⃗⃗⃗ =(4,1,−12)．由a a⃗⃗⃗⃗ +a⃗⃗⃗⃗ 与3a⃗⃗⃗⃗ +2a⃗⃗⃗⃗ 平行,得2a−14=5−3a1=2a+312,解得a=32．(2)由已知得a⃗⃗⃗⃗ +a a⃗⃗⃗⃗ =(2−a,5a−3,−3a−2),3a⃗⃗⃗⃗ +a⃗⃗⃗⃗ =(5,−4,−9)．由a⃗⃗⃗⃗ +a a⃗⃗⃗⃗ 与3a⃗⃗⃗⃗ +a⃗⃗⃗⃗ 垂直,得5(2−a)−4(5a−3)+9(3a+2)=0,解得a=−20．15.如图,在多面体ABCDEF中,梯形ADEF与平行四边形ABCD所在平面互相垂直,aa//aa,aa⊥aa,aa⊥aa,aa=aa=12aa=1,aa=√2．(1)求证：aa//平面CDE；(2)判断线段BE上是否存在点Q,使得平面aaa⊥平面BEF？若存在,求出aaaa的值,若不存在,说明理由．【答案】(1)证明：由底面ABCD为平行四边形,知aa//aa,又因为aa⊄平面CDE,aa⊂平面CDE,所以aa//平面CDE．同理aa//平面CDE,又因为aa∩aa=a,aa,aa⊂平面ABF,所以平面aaa //平面CDE ． 又因为aa ⊂平面ABF , 所以aa //平面CDE ． (2)解：连接BD ,因为平面aaaa ⊥平面ABCD ,平面aaaa ∩平面aaaa =aa ,aa ⊥aa , 所以aa ⊥平面aaaa .aa ⊂平面ABCD ,则aa ⊥aa ．又因为aa ⊥aa ,aa ⊥aa ,aa ∩aa =a ,DE ,aa ⊂平面BDE , 所以aa ⊥平面BDE ,又∵aa ⊂平面BDE ,则aa ⊥aa ．故DA ,DB ,DE 两两垂直,所以以DA ,DB ,DE 所在的直线分别为x 轴、y 轴和z 轴,如图建立空间直角坐标系,结论：线段BE 上存在点Q ,使得平面aaa ⊥平面BEF ． 证明如下：设aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ =a aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(0,−a ,2a )(a ∈[0,1]), 所以aa⃗⃗⃗⃗⃗⃗⃗⃗⃗ =aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ +aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(0,1−a ,2a )． 设平面CDQ 的法向量为a⃗⃗⃗⃗ =(a ,b ,a ),又因为aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(−1,1,0), 所以a ⃗⃗⃗⃗ ⋅aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =0,a ⃗⃗⃗⃗ ⋅aa ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =0,即{(1−a )a +2aa =0,−a +a =0,若平面aaa ⊥平面BEF ,则a ⃗⃗⃗⃗ ⋅a ⃗⃗⃗⃗ =0,即a +2a +a =0, 解得a =17∈[0,1]．所以线段BE 上存在点Q ,使得平面aaa ⊥平面BEF ,且此时aaaa =17．16. 在三棱柱aaa −a 1a 1a 1中,M 为棱aa 1的中点,E ,P 分别在线段AB ,EG 上,a 1a 1=a 1a =a 1a 1=2,∠a 1a 1a =120°．(Ⅰ)若P为线段aa1的中点,求证：aa//平面ABC；(Ⅱ)若平面a1a1aa⊥平面a1aaa1,且a1a1aa为正方形,设E为线段AB的中点,P为线段aa1的中点,求二面角a1−a1a−a的平面角的余弦值．【答案】(Ⅰ)证明：连接a1a,取a1a中点为N,连接NP,MN．在△a1aa1中因为P为棱aa1的中点,所以aa//a1a1.因为三棱柱aaa−a1a1a1中,aa//a1a1,所以aa//aa,在△a1aa中,因为M为棱aa1的中点,所以aa//aa．因为aa∩aa=a,aa,aa⊂面aaa,aa,aa⊂平面ABC,所以,所以aa//平面aaa.(Ⅱ)三棱柱aaa−a1a1a1中,因为a1a1=a1a=a1a1=2,所以四边形a1aaa1为菱形,因为∠a1a1a=120°,所以∠a1a1a=60°．所以△a1a1a是等边三角形.因为M为棱aa1的中点,所以aa1⊥a1a．因为平面a1a1aa⊥平面a1aaa1,且交于a1a,aa1⊥a1a所以aa1⊥平面a1a1aa所以aa 1⊥a 1a 1,aa 1⊥a 1a 1,aa 1∩a 1a =a 1, 所以a 1a 1⊥平面a 1aaa 1,所以可建立以a 1为原点,分别以a 1a ,a 1a ,a 1a 1作为x 轴,y 轴,z 轴的空间直角坐标系． 则a 1(√3,−1,0),a 1(0,0,0),a (√3,0,0),a 1(0,0,2),a (√32,32,0)a (√34,34,1),因为a 1a 1⊥平面a 1aa 1,所以可设平面a 1a 1a 的法向量为a ⃗⃗⃗⃗ =a 1a 1⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(√3,−1,0) ,a 1a ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(√34,34,1),而 a 1a ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(√3,0,0),设平面aa 1a 的法向量为a ⃗⃗⃗⃗ =(a ,a ,a ), 所以{√3a =0√34a +34a +a =0令a =4,可得a =−3,所以a ⃗⃗⃗⃗ =(0,4.−3). 所以cos ⟨a ⃗⃗⃗⃗ ,a ⃗⃗⃗⃗ ⟩=a ⃗⃗⃗⃗ ⋅a ⃗⃗⃗⃗|a ⃗⃗⃗⃗ ||a ⃗⃗⃗⃗ |=−45×2=−25, 因为二面角a 1−a 1a −a 为钝二面角, 所以二面角a 1−a 1a −a 的余弦值为−25.。
高考数学易错题专项突破__易错点12函数的单调性极值和最值问题含解析
易错点12 函数的单调性、极值和最值问题一、单选题1. 函数f (f )=ln (2f +3)+f 2的单调增区间是A. (−32,−1)和(−12,+∞) B. (−32,−3−√54)和(−3+√54,+∞)C. (−∞,−1)和(−12,+∞) D. (−32,−1)和(−3+√54,+∞)2. f (f )=f (f −f )2在f =2处有极小值,则常数c 的值为A. 2B. 6C. 2或6D. 13. 函数f (f )=ln f +ff 有小于1的极值点,则实数a 的取值范围是A. (0,1)B. (−∞,−1)C. (−1,0)D. (−∞,−1)∪(0,+∞)4. 设函数f (f )=f f (f −f ),函数f (f )=ff −f (f >f ),若对任意的f f ∈[−f ,f ],总存在f f ∈[−f ,f ],使得f (f f )=f (f f ),则实数m 的取值范围是 A. [ff f ,ff ] B. [ff ,f f]C. [13,+∞)D. [f 2,+∞)5. 下列说法正确的是A. 若p ：∀f ≥0,sin f ≤1,则¬f :∃f 0<0,sin f 0>1．B. 命题“已知f ,f ∈f ,若f +f ≠3,则f ≠2或f ≠1”是真命题．C. “f 2+2f ≥ff 在f ∈[1,2]上恒成立”⇔“(f 2+2f )min ≥(ff )min 在f ∈[1,2]上恒成立”．D. 函数f =√f 2+9+√29f ∈f )的最小值为2．二、单空题6. 已知f (f )=13f 3+f2f 2−6f +1在(−1,1)单调递减,则m 的取值范围为________．7. 已知函数f (f )=(2f +1)f f +1+ff (f ∈f ,e 是自然对数的底数).若有且仅有3个负整数f 1,f 2,f 3,使得f (f 1)≤0,f (f 2)≤0,f (f 3)≤0,则a 的最小值是______．8. 已知函数f (f )=ln f +ff 2−4在f =12处取得极值,若f ,f ∈[14,1],则f (f )+f′(f)的最大值是_______．9.已知函数f(f)的定义域为[−1,5],部分对应值如下表,f(f)的导函数f=f′(f)的图象如图所示.下列关于f(f)的命题：①函数f(f)的极大值点为0,4；②函数f(f)在[0,2]上是减函数；③如果当f∈[−1,f]时,f(f)的最大值是2,那么t的最大值为4；④函数f=f(f)与f=f的交点个数可能为0、1、2、3、4个．其中正确命题的序号是____________________．三、解答题f3+ff2+ff+3,其导函数f′(f)的图象关于y轴对10.已知函数f(f)=13．称,f(1)=−23(Ⅰ)求实数m,n的值；(Ⅱ)若函数f=f(f)−f的图象与x轴有三个不同的交点,求实数f的取值范围．11.已知函数f(f)=13f3+2ff2+ff,且f(f)在f=3处取得极值−36．(1)求曲线f=f(f)在(0,0)处的切线方程；(2)求f(f)在[−3,6]上的最大值和最小值．12.如图,在四棱锥f−ffff中,底面菱形ABCD的两对角线的交点为O,ff=4,ff=2,且ff=ff,ff=ff=√2,E为AO的中点．(1)证明：ff⊥ff；(2)设P为截面SAC上的动点,满足ff⃗⃗⃗⃗⃗⃗⃗⃗⃗ =2ff ff⃗⃗⃗⃗⃗⃗⃗⃗⃗ −f sin f⋅ff⃗⃗⃗⃗⃗⃗⃗⃗⃗ (0≤f≤f2).设F,G分别为AB,BC的中点,求点P到平面SFG的最大距离．13.已知函数f(f)=ln(ff)−f−ff(f>0)的最小值为0．(1)求f(f)的解析式；(2)若函数f(f)=f(f)−12f−f有两个零点f1,f2,且f1<f2,求证：f1+f2>1一、单选题1.函数f(f)=ln(2f+3)+f2的单调增区间是A. (−32,−1)和(−12,+∞)B. (−32,−3−√54)和(−3+√54,+∞)C. (−∞,−1)和(−12,+∞)D. (−32,−1)和(−3+√54,+∞)【答案】A【解析】解：函数f(f)的定义域为(−32,+∞),又f′(f)=22f+3+2f=4f2+6f+22f+3,令f′(f)>0,即4f2+6f+2>0,化简得2f2+3f+1>0,解得f<−1,或f>−12,又函数f(f)的定义域为(−32,+∞),故函数f(f)=ln (2f+3)+f2的单调递增区间为(−32,−1)和．故选A．2.f(f)=f(f−f)2在f=2处有极小值,则常数c的值为A. 2B. 6C. 2或6D. 1【答案】A【解析】解：∵函数f(f)=f(f−f)2,∴f′(f)=3f2−4ff+f2,又f(f)=f(f−f)2在f=2处有极值,∴f′(2)=12−8f+f2=0,解得f=2或6,又由函数在f=2处有极小值,故f=2,f=6时,函数f(f)=f(f−f)2在f=2处有极大值,故选A．3.函数f(f)=ln f+ff有小于1的极值点,则实数a的取值范围是A. (0,1)B. (−∞,−1)C. (−1,0)D. (−∞,−1)∪(0,+∞)【答案】B【解析】解：因为f(f)=ln f+ff,所以函数定义域为{f|f>0},由f′(f)=1f +f=0得,f≠0,f=−1f,又函数f(f)=ln f+ff有小于1的极值点,所以−1f<1且f<0,所以f<−1,故选B．4.设函数f(f)=f f(f−f),函数f(f)=ff−f(f>f),若对任意的f f∈[−f,f],总存在f f∈[−f,f],使得f(f f)=f(f f),则实数m的取值范围是A. [ff f ,ff] B. [ff,f f] C. [13,+∞) D. [f2,+∞)【答案】D【解析】解：要对任意的f1∈[−2,2],总存在f2∈[−2,2],使得f(f1)=f(f2), 则f(f)的值域是f(f)的值域的子集,,所以f(f)在(−∞,0)上单调递减,在(0,+∞)上单调递增,即f(f)在[−2,0)上单调递减,在(0,2]上单调递增,,f(2)=f2,f(0)=−1,所以f(f)∈[−1,f2],因为函数f(f)=ff−f且f>0,所以f(f)在[−2,2]上单调递增,f(−2)=−3f,f(2)=f,所以f(f)∈[−3f,f],因为f(f)的值域是f(f)的值域的子集,所以{f≥f2−3f≤−1且f>0,解得f≥f2．故选D．5.下列说法正确的是A. 若p：∀f≥0,sin f≤1,则¬f:∃f0<0,sin f0>1．B. 命题“已知f,f∈f,若f+f≠3,则f≠2或f≠1”是真命题．C. “f2+2f≥ff在f∈[1,2]上恒成立”⇔“(f2+2f)min≥(ff)min在f∈[1,2]上恒成立”．D. 函数f=√f2+9+√29f∈f)的最小值为2．【答案】B【解析】解：对于选项A,若：,sin f≤1,则：,.所以该选项不正确；对于选项B,命题“已知,若,则或”的逆否命题为“若且,则”,由于逆否命题是真命题,所以原命题是真命题,所以该选项正确；对于选项C,“在上恒成立”不等价于“在上恒成立”,因为不等式两边的自变量都是“”,它只表示两边函数取相同的自变量时,左边的函数值不小于右边的函数值,所以不等价于“在上恒成立”.所以该命题不正确；对于选项D,函数的最小值不是2.设,所以因为,所以函数在单调递增,所以函数的最小值为,所以该选项错误．故选：B ． 二、单空题6. 已知f (f )=13f 3+f 2f 2−6f +1在(−1,1)单调递减,则m 的取值范围为________．【答案】[−5,5]【解析】解：由题可得f′(f )=f 2+ff −6, 而f (f )在(−1,1)上单调递减,则f′(f )=f 2+ff −6≤0对f ∈(−1,1)恒成立,因此有{f ′(−1)=−f −5⩽0f ′(1)=f −5⩽0, 解得{f ≥−5f ≤5,即−5≤f ≤5．所以m 的取值范围是[−5,5] ． 故答案为[−5,5] ．7. 已知函数f (f )=(2f +1)f f +1+ff (f ∈f ,e 是自然对数的底数).若有且仅有3个负整数f 1,f 2,f 3,使得f (f 1)≤0,f (f 2)≤0,f (f 3)≤0,则a 的最小值是______． 【答案】−53f 2【解析】解：由f (f )≤0可得(2f +1)f f +1≤−ff ． 令f (f )=(2f +1)f f +1,f (f )=−ff , 则f′(f )=(2f +3)f f +1,当f <−32,f′(f )<0,当f >−32,f′(f )>0,故f =−32是极小值点, 且f (−12)=0,故f (f )的图象如图所示．显然,当f ≥0时满足f (f )≤0的负整数x 有无数个, 因此f <0． 此时必须满足{f (−3)≤f (−3)f (−4)>f (−4)即{−5f −2≤3f−7f −3>4f,解得−53f 2≤f <−74f 3,则a 的最小值是−53f 2, 故答案为−53f 2．8. 已知函数f (f )=ln f +ff 2−4在f =12处取得极值,若f ,f ∈[14,1],则f (f )+f′(f )的最大值是_______．【答案】【解析】解：f (f )=ln f +ff 2−4,则f′(f )=1f +2ff ． 依题意可得f′(12)=2+f =0,可得f =−2． 所以f (f )=ln f −2f 2−4,f′(f )=1f −4f ． 当f ∈[14,12)f′(f )=1−4f 2f>0,此时f (f )单调递增,当f ∈(12,1]f′(f )=−1f 2−4<0在[14,1]上单调递减, 所以f max (f )=f (14)=3,即f max ′(f )=3． 所以f (f )+f′(f )的最大值为．9. 已知函数f (f )的定义域为[−1,5],部分对应值如下表,f (f ) 的导函数f =f′(f ) 的图象如图所示.下列关于 f (f ) 的命题：①函数f(f)的极大值点为0,4；②函数f(f)在[0,2]上是减函数；③如果当f∈[−1,f]时,f(f)的最大值是2,那么t的最大值为4；④函数f=f(f)与f=f的交点个数可能为0、1、2、3、4个．其中正确命题的序号是____________________．【答案】①②④．【解析】解：∵由导函数的图象知,函数f(f)的最大值点为0与4,故①正确；由已知中f=f′(f)的图象可得在[0,2]上f′(f)<0,即f(f)在[0,2]是减函数,即②正确；由已知中f=f′(f)的图象,及表中数据可得当f=0或f=4时,函数取最大值2,若f∈[−1,f]时,f(f)的最大值是2,那么0≤f≤5,故t的最大值为5,即③错误；∵函数f(f)在定义域为[−1,5]共有两个单调增区间,两个单调减区间,故函数f=f(f)−f的零点个数可能为0、1、2、3、4个,即函数f=f(f)与f=f的交点个数可能为0、1、2、3、4个,因④正确,综上可得正确命题的序号是①②④．故答案是①②④．三、解答题10.已知函数f(f)=13f3+ff2+ff+3,其导函数f′(f)的图象关于y轴对称,f(1)=−23．(Ⅰ)求实数m,n的值；(Ⅱ)若函数f=f(f)−f的图象与x轴有三个不同的交点,求实数f的取值范围．【答案】解：(Ⅰ)f′(f)=f2+2ff+f.∵函数f′(f)的图象关于y轴对称,∴f=0．又f(1)=13+f+3=−23,解得f=−4.∴f=0,f=−4．(Ⅱ)问题等价于方程f(f)=f有三个不相等的实根时,求f的取值范围．由(Ⅰ),得f(f)=13f3−4f+3.∴f′(f)=f2−4.令f′(f)=0,解得f=±2．∵当f <−2或f >2时,f′(f )>0,∴f (f )在(−∞,−2),(2,+∞)上分别单调递增． 又当−2<f <2时,f′(f )<0,∴f (f )在(−2,2)上单调递减． ∴f (f )的极大值为f (−2)=253,极小值为f (2)=−73．∴实数f 的取值范围为．11. 已知函数f (f )=13f 3+2ff 2+ff ,且f (f )在f =3处取得极值−36．(1)求曲线f =f (f )在(0,0)处的切线方程； (2)求f (f )在[−3,6]上的最大值和最小值．【答案】解：(1)f′(f )=f 2+4ff +f ,由{f′(3)=9+12f +f =0,f (3)=9+18f +3f =−36,得{f =1,f =−21,所以f′(f )=f 2+4f −21．因为f′(0)=−21,所以曲线f =f (f )在(0,0)处的切线方程为21f +f =0．(2)由(1)知f′(f )=f 2+4f −21=(f +7)(f −3),f ∈[−3,6], 令f′(f )<0,得−3≤f <3；令f′(f )>0,得3<f ≤6． 所以f (f )在[−3,3)上单调递减,在(3,6]上单调递增, 故f (f )fff =f (3)=−36．因为f (−3)=72,f (6)=18,所以f (f )fff =f (−3)=72．12. 如图,在四棱锥f −ffff 中,底面菱形ABCD 的两对角线的交点为O ,ff =4,ff =2,且ff =ff ,ff =ff =√2,E 为AO 的中点．(1)证明：ff ⊥ff ；(2)设P 为截面SAC 上的动点,满足ff ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =2f f ff ⃗⃗⃗⃗⃗⃗⃗⃗⃗ −f sin f ⋅ff ⃗⃗⃗⃗⃗⃗⃗⃗⃗ (0≤f ≤f 2).设F ,G 分别为AB ,BC 的中点,求点P 到平面SFG 的最大距离．【答案】解：(1)证明：在菱形ABCD 中,ff ⊥ff .又ff =ff ,所以,ff ⊥ff , 又因为AC ,ff ⊂平面SAC ,ff ∩ff =f ,所以,ff ⊥平面SAC ,因为ff ⊂平面SAC ,从而,ff ⊥ff ．因E 为AO 的中点,且ff =ff ,所以,ff ⊥ff ,因为BD ,ff ⊂平面ABCD ,ff ∩ff =f ,所以,ff ⊥平面ABCD ,因为ff ⊂平面ABCD ,所以ff ⊥ff ．(2)f 为坐标原点,过A 平行BD 的直线为x 轴,AC 所在直线为y 轴,过A 垂直平面ABCD 的直线为z 轴,建立空间直角坐标系．ff =1,ff =√2, 故则f (0,0,0),f (0,1,0)f (0,4,0),f (0,1,1),f (12,1,0),f (12,3,0)．设平面SFG 的法向量为f⃗⃗⃗⃗ =(f ,f ,f ),ff ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(0,2,0),ff ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =(−12,0,1), 由{f ⃗⃗⃗⃗ ·ff ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =0f ⃗⃗⃗⃗ ·ff ⃗⃗⃗⃗⃗⃗⃗⃗⃗ =0得{2f =0−12f +f =0令f =2,则f ⃗⃗⃗⃗ =(2,0,1)．所以,设点P 到平面SFG 的最大距离为f (f ),则点P 到平面SFG 的距离．则,故f (f )在上单调递增, 因此,f (f )的最大值为．即点P 到平面SFG 的最大距离为．13.已知函数f(f)=ln(ff)−f−ff(f>0)的最小值为0．(1)求f(f)的解析式；(2)若函数f(f)=f(f)−12f−f有两个零点f1,f2,且f1<f2,求证：f1+f2> 1．【答案】解：(1),定义域为,从而,令,由于,则；故当时,,单调递增,当时,,单调递减,故,,故,．(2),,是函数的两个零点,,两式相减,可得即,故．,．令,其中,则,构造函数,则．对于,恒成立,故, 即．可知,。
高考单选易错100题-人教版[整理]
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高考单选易错题1001. It is a ______ that you missed such a wonderful concert.A. shameB. pityC. regretD. mistake2. What a poor boy! He was born with _____ his backbone.A. wrong onB. fault onC. a wrong onD. a fault in3. Please give his decision plenty of _____ before you accept it.A. conclusionB. thinkC. ideaD. time4. –Have you read the timetable? --Yes. The train _____ start at 10:13 p.m.A. willB. is going toC. shouldD. is to5. When do you think ______ visit her uncle?A. she was going toB. will she go toC. she will goD. she will go to6. He moved to a big city to try his ______.A. luckB. courageC. successD. taste7. In Britain, sales of cigarettes have been reduced _______30% in the past ten years.A. forB. toC. fromD. by8. Many students ______ get frequent help from her.A. such as BushB. Bush for exampleC. as BushD. Bush is one of them9. You can only tell the news to Tom, Jack and Bill, and ______ is should be kept.A. among themB. among whomC. between themD. between whom10. –Is the cross-country race going to be run today? --Yes. It is planned to begin_____.A. this later afternoonB. later in this afternoonC. in late afternoonD. late in the afternoon11. –Why did she spend so much time searching shop after shop only for a blouse?--Oh, she was very __ about her clothes.A. specialB. particularC. especialD. unusual12. Any boy ______ wants to swim can go with me.A. heB. thatC. whoD. whom13. –Where is your pencil-box, Tom? --I’ve _____ it for this kite.A. affordedB. collectedC. pickedD. traded14. My wife enjoys window shopping. Sometimes she __something she has long been looking for.A. looks upB. adds toC. affords toD. picks up15. He received ten days’ ______ to leave the office because he was often late for work.A. noticeB. attentionC. informationD. service16. It’s none of your business. You should _____ their quarrels.A. keep fromB. join inC. keep offD. keep out of17. In 1998, great floods _____ the southern states of China.A. struckB. happenedC. beatD. took place in18. Don’t trust him. He is ______ some tricks.A. away withB. out fromC. up toD. down for19. –He always appears when we are in trouble. --We can find a true friend _____ him.A. inB. ofC. fromD. on20. The supply of gas happened to ______ this afternoon, so he failed to cook for his children.A. go outB. go offC. go overD. go by21. The great damage which the flood _____ made a great many people homeless.A. brought toB. brought aboutC. brought upD. brought out22. She insisted that she ______ somebody in the house.A. hearB. heardC. should hearD. hears23. Over 80 percent of the population of China ____ peasants.A. isB. areC. wasD. would be24. The population of China ______ more than one fifth of the total population in the world.A. is made up ofB. makes upC. is made ofD. makes of25. It was 12 o’clock at midnight ______ they arrived at a ______ village.A. since; aloneB. before; lonelyC. that; lonelyD. when; lonely26. _______ to ask him the way? He is also a visitor.A. Whatever good it isB. However good it isC. What good is itD. How good it is27. It is 4 years ______ she will study in that college.A. beforeB. thatC. whenD. after28. Of the 2 shirts, I’d like to choose _____ one.A. the less expensiveB. the most expensiveC. less expensiveD. most expensive29. Meeting my uncle after all these years was an unforgettable moment, __ I will always treasure.A. thatB. oneC. itD. what30. Having a trip abroad is certainly good for the old couple, but it remains ______ whether they will enjoy it.A. to seeB. to be seenC. seeingD. seen31. –Will Peter come here? --Yes, he promised to, but he hasn’t _______.A. turned outB. turned upC. turned intoD. turned on32. Someone called me up in the middle of the night, but they hung up _____ I could answer the phone.A. asB. sinceC. untilD. before33. When he woke up, he could remember what had happened _________.A. yesterdayB. the day beforeC. the day before yesterdayD. the day after yeaterday34. They pass the evening ______ cards and music.A. withB. inC. byD. at35. Are these made ______ hand or _____ machine?A. by; withB. with; byC. by; byD. with; with36. –I’d like to buy an expensive camera. --Well, John, we have several models _______.A. to be chosen fromB. of choiceC. to choose fromD. for choosing37. –How do you like your new job there, Bob? --_________.A. Yes, I like it.B. I’m not used to it.C. I’d like it very much.D. I don’t do it well.38. A lot of work must be done _____ too many trees in this area _______.A. in stopping; cutting offB. for stopping; being cut downC. to stop; from being cut downD. stop; from cutting off39. Of all the stories here, I like this one______. It is not interesting.A. worstB. mostC. lessD. least.40. Apples are usually sold by _____ weight, and eggs are sometimes sold by ______ dozen.A. the; theB. \; aC. \; theD. the; a41. Having received _____ training of the MS Company, he was offered ______ important position in management.A. the; anB. \; aC. the; \D. a; a42. I don’t know who invented _____ telephone. It is really ____ most useful invention.A. the; aB. \; aC. a; theD. \; the43. Tom went to a ______ store to buy a pair of shoes.A. shoes’B. shoe’sC. shoesD. shoe44. I suggest that the boy _______ to be punished.A. should referB. refersC. referringD. referred45. I like the way _____ she solved the problems.A. whichB. whatC. in thatD. \46. Look forward to _______ what is happening.A. seeB. seeingC. be seenD. being seen47. –Will you go to attend their wedding? --No, ______ invited to.A. as ifB. even thoughC. unlessD. until48. He has ______ for 2 months and he hasn’t _____ a job yet.A. lost his job; foundB. been out of work; foundC. been out of job; looked forD. lost his work; seen49. He did what he could _____ the girl.A. calmB. to calmC. calmedD. calming50. The secretary worked late into the night, _____ a long speech for the president.A. to prepareB. preparingC. preparedD. was preparing51. Mother was worried because little Alice was ill, esp. ______ her father was away in France.A. asB. thatC. duringD. if52. She is good at English. She has translated a book into English. So ___her good friend Li Ping.A. isB. hasC. it is withD. is it with53. The _____ of the house were covered with ________.A. roofs; leafsB. roofs; leavesC. roves; leafsD. rooves; leaves54. Hard work and plain living _______a weapon for the Curies to succeed in their research work.A. wasB. wereC. isD. are55. –We’d like Chinese black tea, please? --Sorry, we don’t ______ Chinese tea.A. doB. makeC. serveD. cook56. ______ from Beijing to London!A. What a long way it isB. What a long way is itC. It is a long wayD. How far is it57. –I have got an “A” in the exam. --That’s a good ______. You’ll surely win a second.A. resultB. startC. newsD. idea58. Soon they came to a farm house; ______ roof was much higher than the others.A. whichB. whoseC. thatD. its59. It was on the next day ________ the baby was born _______ the mother died.A. when; thatB. that; whenC. which; whenD. when; when60. The students in city aren’t so diligent as _______ in country.A. oneB. onesC. thatD. those61. Shown around Xiang Shan, _______ president of the USA was struck by _____ beauty of ____ nature.A. \; the; \B. \; a; theC. the; the; \D. the; a; the62. How about the two of us _______ a walk down the garden?A. to takeB. takeC. takingD. to be taking63. Where was _______ you met with the famous scientist?A. it thatB. itC. the placeD. the place that64. She made a box ______ the TV set.A. holdB. to holdC. holdingD. held65. It was October _______ they finally came back to their hometown.A. whenB. thatC. whatD. until66. ______ cold, he covered his blanket, ________ only his arms _______.A. Felt; left; uncoveredB. Feeling; left; uncoveredC. Feeling; leaving; uncoveredD. Felt; left; uncovering67. I agree with most of what you said, but I don’t agree with ______.A. everythingB. anythingC. somethingD. nothing68. _______ they are to be included in the plan will depend on ______ they are true.A. If; ifB. Whether; whetherC. If; whetherD. Whether; if69. _________ the early morning of May Day he left for Shanghai.A. OnB. AtC. InD. By70. They don’t think you two have met before, _________?A. do theyB. don’t theyC. have youD. haven’t you71. –How many students have finished their homework? --_________.A. NothingB. NoneC. No oneD. Nobody72. The ship arrived ______ Shanghai at eight o’clock yesterday morning.A. inB. onC. toD. at73. –Will you have _______ more tea? --There’s plenty in the pot.A. someB. anyC. littleD. few74. We had ______ paper but _____ ink.A. plenty of; not muchB. a great deal of; not manyC. much; fewD. a lot of; a few75. I arrived earlier than ________.A. usuallyB. usualC. neverD. always76. Who is it up _______ decide whether to go or not?A. to toB. toC. for toD. to for77. The managers discussed the plan that they would like to see _____ the next year.A. carried outB. carrying outC. carry outD. to carry out78. He has spent I think a lot _______ time in reading than she has.A. ofB. moreC. much moreD. of much more79. If you want to change for a double room you’ll have to pay ______ $15.A. anotherB. otherC. moreD. each80. –Have you seen the film? --Yes. I ______ it last Friday.A. sawB. have seenC. had seenD. was seeing81. –Why don’t we take a little break? --Didn’t we just have _______?A. itB. thatC. oneD. this82. His eyes were found _____ on the picture.A. fixedB. fixingC. to fixD. to be fixed83. _______ production up by 60%, the company has had another excellent year.A. AsB. ForC. WithD. Through84. I don’t think I’ll need any money but I’ll bring some ________.A. at lastB. in caseC. once againD. in time]85. Was the wood _____ this bridge cut from that hill?A. used to buildingB. used to buildC. was used to buildingD. was used to build86. –Are you coming to Jeff’s party? --I’m not sure. I ______ go to the concert insead.A. mustB. wouldC. shouldD. might87. Whom would you rather ______ to the hospital?A. have sendingB. have sentC. having sendD. having sent88. Mr. Reed made up his mind to devote all he had to _______ some schools for poor children.A. set upB. setting upC. have set upD. having set up89. ______ forever are the days when we used foreign oil.A. GoB. To goC. GoneD. Going90. Dorothy was always speaking highly of her role in the play, ______, of course, made others unhappy.A. whoB. whichC. thisD. what91. As we joined the big crowd I got _______ from my friends.A. separatedB. sparedC. lostD. missed92. She looks forward every spring to _______ the flower-lined garden.A. visitB. paying a visitC. walk inD. walking in93. Let Harry play with your toys as well, Clare—you must learn to ______.A. supportB. careC. spareD. share94. This is the main use that the scientists make ______ of natural resources.A. itB. whichC. useD. \95. I’ve worked with children before, so I know what _______ in my new job.A. expectedB. to expectC. to be expectedD. expects96. –Is John coming by train? --He should, but he ______ not. He likes driving his car.A. mustB. canC. needD. may97. Not only _______ hard but _______ also kind.A. does he study; is heB. does he study; he isC. he studies, he isD. he studies; is he98. The chance he looked forward to ______ at last.A. comeB. cameC. comingD. being come99. –He seems to be a teacher. --_______. He has been a teacher for 20 years.A. So he doesB. So does he.C. So he isD. So is he.100. –Which side can I sit on the boat? --If you sit still, you can sit on _______.A. neither sideB. every sideC. both sidesD. either side答案1-5 BDCDD 6-10 ADBCB 11-15 BCDDA 16-20 DACAB 21-25 BBBBD 26-30 CBABB 31-35 BDBCC 36-40 CBCDC 41-45 AADDD 46-50 ABBBB 51-55 ACBAC 56-60 ABDAD 61-65 CCABA 66-70 CABAA 71-75 BDAAB 76-80 AABAA 81-85 CACBB 86-90 DBBCB 91-95 ADDDB。
高考单选易错题汇编及答案解析
高考单选易错题汇编1、Stop making so much noise ____ the neighbor will start complaining.A、or elseB、but stillC、and thenD、so that2、We hope to go to the beach tomorrow, but we won’t go ____ it’s raining.A、ifB、whenC、thoughD、because3、——The weather is too cold ____ March this year.——It was still ____ when I came here years ago.A、for; colderB、in; coldC、in; hotD、for; hotter4、——How much vinegar did you put in the soup?——I’m sorry to say, ____. I forget.A、noB、no oneC、nothingD、none5、He is only too ready to help others, seldom, ____, refusing them when they turn to him.A、if neverB、if everC、if notD、if any6、——What should I wear to attend his wedding party?——Dress ____ you like.A、whatB、howeverC、whateverD、how7、——The research on the new bird flu virus vaccine is challenging and demanding. Who do you think can do the job?——____ my students have a try?A、ShallB、MustC、WillD、May8、I’d like to live somewhere ____ the sun shines all year long.A、whichB、thatC、whereD、in which9、I ____ to go for a walk, but someone called and I couldn’t get away.A、was planningB、plannedC、had plannedD、would plan10、——Your book, Tommy?——No, Mom, it’s my friend’s.——Remember to return it to ____ name is on it.A、whatB、whichC、whoseD、whosever11、Thank you for sending us ____ fresh vegetables of many kinds. You have done us ____ a great service.A、不填；aB、the；aC、不填；不填D、the；不填12、Now that we ____ all the money, it’s no use turning on me and saying it’s all my fault.A、had lostB、lostC、have lostD、lose13、We had a really bad time about six months ago but now things are ____.A、looking upB、coming upC、making upD、turning up14、——When did it begin to snow?——It started ____ the night.A、duringB、byC、fromD、at15、Young as he is, David has gained ____ rich experience in ____ society.A、the; theB、a; 不填C、不填；不填D、不填；the16、____ from endless homework on weekends, the students now find their own activities, such as taking a ride together to watch the sunwise.A、FreedB、FreeingC、To freeD、having freed17、——So you missed the meeting.——____. I got there five minutes before it finished.A、Not at allB、Not exactlyC、Not especiallyD、Not really18、——Do you mind if I smoke?——____A、Why not?B、Yes, help yourselfC、Go aheadD、Yes, but you’d better no t19、——We must thank you for taking the trouble to cook us a meal.——____.A、With pleasureB、It doesn’t matterC、It was no trouble at allD、By all means20、____ the temperature might drop, coal was prepared for warming.A、To considerB、ConsideredC、ConsideringD、To be considered21、——Tom, you are caught late again.——Oh, ____.A、not at allB、just my luckC、never mindD、that’s all right22、——What do you think of the concert?——I really enjoy it. I didn’t expect it was ____ wonderful.A、asB、moreC、mostD、very23、The engineers made two big plans for the dam, ____ was never put in force.A、one of themB、whichC、one of whichD、every one of which24、I have no one ____ me, for I am a new comer here.A、helpB、helpingC、to helpD、to have helped25、The li ttle girl couldn’t work the problem out. She wasn’t ____ clever.A、thatB、muchC、enoughD、too26、Listen! His family must be quarrelling, ____?A、mustn’t itB、isn’t itC、aren’t theyD、needn’t they27、The police have ____ power to deal with such matters by ____ law.A、the; theB、不填；不填C、不填；theD、the；不填28、Jack felt unhappy as they all went outing ____ him.A、exceptB、butC、withoutD、besides29、That she hadn’t kept her ____ on her work resulted in the failure.A、headB、heartC、brainD、mind30、——Did your sister pass the exam?——She failed and is in low spirits.——I’m sorry for her.——____.A、Thank youB、You’re welcomeC、I would think soD、Never mind31、The students spent as much time getting trained as they ____ studying.A、dislikedB、wereC、hadD、did32、It was believed that things would get worse, but ____ it is they are getting better.A、beforeB、afterC、becauseD、as33、As time went by, the plan stuck ____ fairly practical.A、to provedB、to provingC、provedD、to be proved34、More than one ____ the people heart and soul.A、official has servedB、officials have servedC、official has served forD、officials have served for35、The president stood by a window inside the room, ____, looking over the square.A、where I enteredB、into which I enteredC、which I enteredD、that I entered36、Though I ____ to go abroad, I changed my mind and decided to stay with my family.A、had wantedB、wantedC、would wantD、did want37、My brother is very tall. The little bed won’t ____ for him.A、prepareB、matchC、fitD、do38、——Thank you so much for the lovely evening, Dennis.——You’re quite welcome, Julie. ____. We’d been looking forward to seeing you.A、Were glad to meet youB、I’m afraid you didn’t have a good timeC、Thank you for your comingD、Just stay a little longer, please39、Scientists say they have found a way to produce the human body’s own cancer-killing cells through gene treatment, ____ new hope to cancer sufferers.A、offeringB、showingC、takingD、making40、We are going to discuss the way of reading works ____ it is used for real life purposes, and this should give you a better understanding of it.A、thatB、whichC、whereD、when41、——The dinner was delicious!——I agree. I am so full.——That’s too bad. But some dessert ____.A、has orderedB、will be orderedC、has been orderedD、was going to be ordered42、——This wall of air is an effective answer to the problem and it ____ work.——But it is a question to put such a wall of air around the statue.A、mayB、mustC、shouldD、could43、We should know that we can only reach the top if we are ready to ____ and learn from failure.A、deal withB、depend onC、carry onD、go with44、——Good evening. I ____ to see Miss Jessic.——Oh! Good evening. I’m sorry, but she is not in.A、cameB、comeC、have comeD、had come45、——Please c all me at 8:00 tomorrow morning. I’m kind of forgetful.——Don’t worry about that, you’ll be surely ____.A、remindedB、toldC、warnedD、informed46、——What’s the matter with Tim?——Oh, Tim’s cellphone was left in a taxi accidentally, never ____ again.A、to findB、to be foundC、findingD、being found47、A terrible earthquake happened in that district at the end of 2004, ____ many countries in the world paid close attention to this.A、whereB、whenC、whichD、what48、——How come a simple meal like this costs so much?——We have ____ in your bill the cost of the cup you broke just now.A、addedB、includedC、containedD、charged49、——You didn’t wait for Mr. Black last night, did you?——No, but we ____. He didn’t return home at all.A、couldn’t haveB、needn’t haveC、didn’t need toD、should wait have50、——How do you think I should receive the reporter?——____ you feel about him, try to be polite.A、HowB、WhatC、WhateverD、However51、____ has recently been done to provide more buses for the people, a shortage of public vehicles remains a serious problem.A、ThatB、WhatC、In spite of whatD、Though what52、As we have much time left, let’s discuss the matter ____ tea and cake.A、overB、withC、byD、at53、Mr Black must be worried about something. You can ____ it from the look on his face.A、reasonB、recognizeC、readD、realize54、——Can I pay the bill by check?——Sorry, sir. But it is the management rule of our hotel that payment ____ be made in cash.A、shallB、needC、willD、can55、If you win the competition, you will be given ____ to Europe for two.A、a free 7-day tripB、a free trip for 7-dayC、a 7-day free tripD、a trip for 7-day free56、——Hey, Kelin. Happy new year! ____?——Ok, I guess. My grandma kept cooking and cooking, so I just kept eating.A、How was your breakB、How is your grandmaC、Where did you go for holidayD、What did you do in your holiday57、——Would you mind giving your advice on how to improve our business management?——if you make ____ most of the equipment, there will be ____ rise in production.A、不填；不填B、the；aC、不填；aD、the；不填58、——Will $200 ____ the cost of the damage?——I’m afraid not. I need at least $100 more.A、doB、includeC、coverD、afford59、If you live in the country or have ever visited there, ____ are that you have heard birds singing to welcome the new day.A、situationsB、factsC、dancesD、possibilities60、I ____ you, but I didn’t think you would listen to me.A、could have toldB、must have toldC、should tellD、might rell61、This problem may lead to more serious ones if ____ unsolved.A、makingB、remainedC、keepingD、left62、I have no dreams ____ to have a happy life.A、rather thanB、more thanC、other thanD、less than63、——You know Mr. Green has been ill for days?——Yes, I wonder if he is ____ better now.A、someB、muchC、anyD、no64、$100 a month could hardly ____ the cost of his life in such a big city in this country.A、spendB、takeC、coverD、meet65、Working in the kitchen for years made Tom ____ a good cook.A、forB、intoC、ofD、as66、She was such a proud person that she would die ____ she would admit she was wrong.A、rather thanB、untilC、afterD、before67、——Are you through with your homework?——Well, ____.A、sort ofB、go aheadC、why notD、that’s OK68、——What field will your son go into after graduation from Nanjing University?——I’m not quite certain, but he ____ a good teacher of English.A、promisesB、becomesC、makesD、proves69、My mother is always warning me when I go out, “Don’t get off the bus ____ it is stopping.”A、untilB、beforeC、whileD、after70、The dance performed by the disabled actors is really a hit, but years ago no one ____ they were to achieve such great success.A、must have imaginedB、could have imaginedC、should have imaginedD、would have imagined71、The young lady prefers dressing up for a party to ____ by others.A、be noticedB、being noticedC、having been noticedD、have been noticed72、Before the war broke out, many people ____ possessions they could not take with them.A、threw awayB、put awayC、gave awayD、carried away73、____ the pressure from work, teachers have to deal with psychological problems caused by interpersonal relationship.A、As far asB、As long asC、As well asD、As soon as74、——I hear your aunt likes travel, music, clothes and fine food.——Oh, yeah, and music may have been ____ of her tastes.A、the rather more respectableB、much the most respectableC、very the most respectableD、even more respectable one75、____ children tend to prefer sweets to meat.A、The mostB、MostC、Most ofD、The most of the76、——He looks very hot and dry.——So ____ if you had a temperature of 103.A、would youB、will youC、would you have beenD、do you77、In 1927 Benjamin Franklin founded one of the first adult-education organizations, ____ the Junto.A、has been calledB、to callC、a group calledD、which group called78、The car ____ at the present speed until it reaches the foot of the mountain at about nine o’clock tonight.A、wentB、is goingC、goesD、will be going79、——You didn’t invite Mary to the ball?——____ her, too?A、Must I inviteB、Should I have invitedC、Must I have invitedD、Should I invite80、The number 9.11 is a special number, ____, I think, that will be remembered by the Americans forever.A、whatB、itC、whichD、one81、Will you see to ____ that my birds are looked after well while I’m away?A、themB、yourselfC、itD、me82、Many teens don’t get enough sleep because they have too much homework, which ____ them up at night.A、makesB、breaksC、turnsD、keeps83、——Ms Lin looks rather a kind lady.——But in fact she is cold and hard on us. You ____ believe it!A、shouldn’tB、wouldn’tC、mustn’tD、needn’t84、The program is like a window on the world ____ you sit by it and fix your attention on what it shows.A、ifB、asC、whileD、unless85、____ the search engine just gave me some brief introductions rather than the whole content of the book to read.A、LuckilyB、MostlyC、FunnilyD、Disappointingly86、——Did you know any French before you arrived in Washington?——Never ____ it, actually.A、had I learnedB、have I learnedC、I learnedD、was I learning87、In fact, more and more people ____ to live a greener, healthier and more environmentally “green life”.A、choseB、chooseC、are choosingD、have chosen88、A special dinner there might include Chinese pork dish, British roast beef and French-style vegetables. Boiled rice ____ just about everything.A、is served withB、will serveC、serves withD、is served89、The professor walked onto the platform and seated himself in a chair, ____ for answering questions.A、had preparedB、being preparedC、preparingD、prepared90、In Scandinavian countries it is common ____ for the husband to stay at home to look after the baby.A、useB、senseC、practiceD、idea91、——Why was our foreign teacher unhappy yesterday?——News about the tsunami striking her country ____ an attack of homesickness.A、set forB、set outC、set aboutD、set off92、——We are informed that the Weifang International Kite Festival starts at 7:00.——Oh, I didn’t expect it was so early! I ____ to go out for dinner with my friends first.A、was planningB、am planningC、have been planningD、have planned93、____ abroad for a tour can be a great honor for an ordinary person like me.A、TakenB、TakingC、Being takenD、Having been taken94、——Did your classmate accept your invitation?——No, he ____ refused.A、as far asB、as well asC、as soon asD、as good as95、I spent the whole day repairing the motorbike. The work was ____ simple.A、nothing butB、anything butC、something ofD、all except96、——Not getting that job was a big let-down.——Don’t worry. Something better will ____.A、come alongB、take onC、go byD、fall behind97、____ the help of experienced career instructors, this type of job-hunting training ____ to be very efficient.A、By; has provedB、With; has provedC、Under; is provingD、With; is proved98、To get as much firsthand information as possible, inspectors will hold workshops and distribute questionnaires, ____?A、isn’t itB、won’t itC、aren’t theyD、won’t they99、It’s a bad practice to ____ children much money as a New Year gift.A、promiseB、permitC、admitD、allow100、By the time you arrive home, I ____, so please don’t make any noise when you come in. A、shall have been sleeping B、shall have slept C、shall sleep D、shall be sleeping101、Doing your homework is a sure way to improve your test scores, and this is especially true ____ it comes to classroom tests.A、beforeB、sinceC、whenD、after102、If you don’t keep the meat in the refrigerator on such a hot day, it may ____.A、go outB、go awayC、go offD、go down103、His letter was especially welcome as I ____ from him for long.A、haven’t heardB、would not heardC、hadn’t heardD、didn’t heard104、Examination compositions, together with most business letters and government reports, are the main situations ____ formal language is used.A、in whichB、on whichC、of whichD、for which105、There aren’t many seats left for the concert; you had better make sure ____ two today.A、gettingB、to have gotC、that you getD、that you will get106、——You can’t imagine ____ fantastic fun web chatting is.——Really? But it may cause a lot of trouble sometimes.A、whatB、howC、whyD、so107、____ friend of my grandfather’s will come tomorrow. I’m wondering how old ____ man he might be.A、The; aB、The; theC、A; aD、A; the108、——Who is making so much noise in the garden?——____ the children.A、There areB、They areC、That isD、It is109、The Cleveland Cavaliers ____ the Los Angeles Lakers 108-89 in the NBA on Sunday.A、hitB、hittedC、beatD、beated110、——How did you sleep last night?——Like a log. Never slept ____.A、wellB、deeplyC、betterD、best111、——The book isn’t easy for Jack to understand, is it?——____. His foreign language is far better than expected.A、No, it isn’tB、I’m afraid notC、I don’t think soD、Yes, it is112、To read Tolstoy and ____ to the nineteenth century Russian literature are two excellent reasons for taking Professor Morrel’s course.A、to introduceB、introduceC、being introducedD、to be introduced113、You’d better not wear such ties, because they ____ three years ago.A、went onB、went offC、went overD、went out114、——“Dear Frank, when will our wedding be?”——“Ah, when? God knows.” He said, and ____ away from her, walked rapidly away.A、turningB、turnedC、turnD、to turn115、——Watch!——I ____ but ____ I ____ anything unusual.A、watched; have watchedB、have watched; am not seeingC、was watching; wasn’t seeingD、am watching; don’t see116、He ____ writing the paper now. He hadn’t written a single word when I left him ten minutes ago.A、shouldn’t beB、can’t have finishedC、can’t beD、mustn’t have finished117、——Why are the tax collectors so busy?——Many people prefer to have their tax forms completed by a professional rather than ___.A、do it themselvesB、doing it themselvesC、to do it themselvesD、done by themselves 118、She felt sorry that she had disturbed the ____ calmness of a man she respected.A、regularB、curiousC、usualD、various119、I haven’t read ____ of his books, but judging from the one I have read I think he’s a very promising writer.A、anyB、noneC、bothD、either120、Women have ____ equal say in affairs at home.A、anyB、someC、/D、an121、——Tomorrow ____ my birthday. I’d like you and Jane to come.——I’m not sure if she ____ free.A、will be; isB、is going to; isC、is; isD、is; will be122、——Do you have anything in mind ____ you’d like for suppe r?——Well, ____ is okay with me.A、that; anythingB、which; everythingC、what; whateverD、where; something123、Parents are advised to take pressure ____ a child and give him some encouragement before an exam.A、offB、outC、fromD、away124、The generous donation from China to the sufferers in the killing Indian Ocean Quake-tsunami has ____ the Chinese people’s unselfishness and internationalism.A、let outB、brought outC、given outD、taken out125、My command of English is not ____ yours.A、as half asB、so half good asC、good as half asD、half so good as126、I know the man by ____ but I have never spoken to him.A、chanceB、heartC、sightD、experience127、____ nearly all behavior is learned behavior is a basic assumption of social scientists.A、/B、ThatC、It is acceptableD、When128、——Mary, what would you say to a holiday for the weekend?——____. I am simply tired of life here.A、You’re taken the words out of my mouthB、Enjoy yourselfC、I can’t afford the timeD、Where should we go?129、A British man who ____ to play practical jokes ____ his own humorous art work in four major New York museums over the last two weeks.A、liked; has secretly hungB、likes; has secretly hungC、had liked; secretly hungD、has liked; secretly hung130、——Are you content with her lecture?——Nowhere near that. It ____.A、may have been goodB、couldn’t have been worseC、can’t be betterD、must be better 131、Shanghai is the first city in the world ____a high-speed maglev train, from the city to PudongAirport.A、to buildB、to be builtC、to have builtD、to have been built132、After the 1980s, the West became Godlike to many Chinese because of ____ Westerners’ wealth, and ____ freedom to do what they wanted.A、/; /B、the; theC、the; /D、/; the133、Experience is believing. If you’d like t o know what it ____ like to be a soldier in World War Ⅱ，____ the game “Brothers in Arms: Roads to Hill 30”.A、would be; tryB、was; tryC、would be; tryingD、was; trying134、The inspector ____ his fingers over the sheet of newspaper. There were some marks on the surface of the paper.A、turnedB、setC、heldD、ran135、The size of the generation gap seems to be spreading with ____ rapid changes in technology, in education, in transportation and in communication that are taking place all over ____ globe. A、the; the B、the; / C、/; / D、/; the136、Nothing in my life has meant ____ to me as his praise.A、as muchB、moreC、that muchD、as good137、Never in my wildest dreams ____ lead to a career in the NBA, which has allowed me to give back to my people in Africa.A、I thought the chance wouldB、I thought would the chanceC、did I think the chance wouldD、did I think would the chance138、——May I put my luggage on the seat beside you, sir?——____.A、Sure, with pleasureB、Okay, please yourselfC、Well, never mindD、Yes, help yourself 139、She’s fainted. Throw some water on her face and she’ll ____.A、come roundB、come alongC、come onD、come out140、Small as it is, the ant is as much a creature as ____ all other animals on the earth.A、areB、isC、haveD、do141、——How is it that you know she’s got back from the UK?——She ____ when I came out of the house this morning.A、seemed to be passingB、happened to have passedC、chanced to be passingD、chose to be passing142、——Is there any hope of saving his life?——His injuries a re extremely serious, but he’s expected to ____.A、pull inB、pull throughC、pull upD、pull over143、All the task ____ ahead of time, they decided to go on holiday for a week.A、had been finishedB、were finishedC、having been finishedD、been finished 144、——He ought ot have been warned of the danger.——____, but he wouldn’t listen to me.A、yes, he ought toB、So he wasC、So was heD、So it was with him145、Lang Ping, who is said to have started her coaching career in America, ____ volleyball in China for almost twenty years.A、playedB、have playedC、was playingD、had played146、An actor can not well play the role without life experience ____ more than a dancer can make a difference without much practice.A、anyB、noC、notD、much147、Each of the 400 people received from their boss____ gift——“Who moved my cheese?”——____ best-seller in the US——to understand how to deal with changes in their lives and work.A、the; 不填B、a；aC、a；不填D、the；a148、Passenger: Look out! There’s a kangaroo wandering on the road!Driver: ____ it! That was lucky. It can damage my car really badly.A、MissingB、MissedC、To missD、Miss149、Most of the audience wondered what ider a man who’s deaf from birth can have ____ music.A、withB、inC、ofD、at150、——Were you busy last weekend?——Very. Rather than ____ time playing cards as usual, I devoted every effort to ____ an advertisement.A、wasting; makingB、waste; makeC、to waste; makeD、a waste of; making 151、——What is the man over there?——I don’t know for sure. But I think he can be ____ but a teacher.A、anybodyB、anythingC、nobodyD、nothing152、One of the requirements for a fire is that the material ____ to its burning temperature.A、is heatedB、be heatedC、would be heatedD、do heat153、——What can I do for you, sir?——I want ____.A、a dime’s worth of candyB、candy a dime’s worthC、a dime worth of candyD、a dime-worth candy154、As the proverb ____, an enemy in disguise is a wolf in sheep’s ____.A、runs; dressB、says; clothesC、speaks; clothD、goes; clothing155、——So you are not spending your holiday in Wuhan this year.——No, ____.A、everywhere in WuhanB、somewhere in WuhanC、somewhere but in WuhanD、anywhere but in Wuhan156、When he realized the police had seen him, the man ____ the exit as quickly as possible. A、made up B、made for C、made out D、made off157、In the traffic accident, his father came close to ____.A、be killedB、being killedC、killD、killing158、The heroic story that the university student had saved a peasant’s life hit the ____ in “China Youth Daily”.A、resultsB、effortsC、rewardsD、headlines159、I don’t want to be interrupted, for my paper is due tomorrow. If ____ asks where I am. Just say I’ve gone out.A、someoneB、anyoneC、everyoneD、no one160、In ____ world, where computers rule our work and life online searches have became ____ necessity.A、a; aB、a; theC、the; aD、the; /161、——Have you heard the new benefit system is to take effect?——Yes. That’s great, yet some worry it may ____ laziness.A、encourageB、developC、causeD、prevent162、——Excuse me, Professor Smith, I was wondering if I could leave a quarter earlier today.——____.A、Nothing the matter.B、Sure, go aheadC、Oh, why not?D、Of course, no problem. 163、——Look, it ____ again.——yeah. This is the third snow we ____ this spring.A、will snow; are havingB、has snowed; had hadC、is snowing; have hadD、snows; have had 164、I invited five people to my party. Out of those five people, only John and Mary can come. ____ people can’t come.A、The othersB、The otherC、OthersD、Other three165、If you think that the illness might be serious, you should not ____ going to the doctor.A、put offB、put asideC、hold backD、hold up166、It was only after some progress ____ in the use and development of electricity that men began to realize the importance and possibilities of magnetism.A、was madeB、would have been madeC、has been madeD、had been made167、The central government is sparing no efforts to ____ the officials’ overuse of power to make up a healthier Party.A、keep offB、keep downC、keep outD、keep on168、Let’s go out now. It ____ any more.A、didn’t rainB、doesn’t rainC、won’t rainD、isn’t raining169、Why don’t you try on this jacket? It ____ nice on you.A、looksB、lookedC、will lookD、has looked170、——Do you have ____ trouble finishing the work?——The work is not so different as you think. We have finished it already.A、anyB、noC、muchD、some171、It’s no ____ that he didn’t come.A、differenceB、importanceC、relationD、matter易错题答案详解1、A or else意为“要不然，否则”。
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2009高三英语模拟试题单项填空错题集1. ______ of the truth of the reports, he told his colleagues about it.A. ConvincingB. ConvincedC. To convinceD. Having convinced2. Thank you for the great difficulty you have had ______ me with my designing work.A. helpingB. to helpC. with helpingD. to have helped3. ______ to the sunlight for long will do harm to your skin.A. ExposedB. Being exposedC. Having been exposedD. Exposing4. ______ every day, our web provides readers with latest news.A. To updateB. UpdateC. UpdatingD. Updated5. ______ by the rising price of gas, many car owners use their cars less frequently.A. DrivenB. Being drivenC. To driveD. Having driven6. A hurricane swept through my village. Just as we were beginning to lose hope, it suddenly stopped. It is really “______”.A. All‟s well that ends wellB. Lightening never strikes twice in the same placeC. It never rains but it poursD. A friend in need is a friend indeed7. The boss ______ department Ms Li worked ten years ago looks down upon women.A. in whichB. in thatC. in whoseD. whose8. The great moment came in the early 1930s ______ famous writers translated both novels and poetry into Chinese.A. whileB. asC. whenD. that9. Please tell me how the accident ______. I am still in the dark.A. came byB. came uponC. came toD. came about10. Your account about the event doesn‟t ______ what the police have found out.A. consistent withB. connect withC. correspond toD. relate to11. ______ by the moving scene, the young man determined to ______ his ways and be good.A. Being touched; repairB. Touched; mendC. Having been touched; findD. To be touched; fix12. The bird flu ______ through Asia has jumped from birds to humans at least 20 times so far, ______ 16 persons.A. sweeps; killedB. swept; killingC. sweeping; to killD. sweeping; killing13. —It‟s so late. Our son ______ be back!—Don‟t worry. I dare say he ______ have some extra work to do.A. can; mustB. will; mightC. should; mustD. must; may14. —Are you going to take the job?—Certainly, though the salary is not so good. ______, you know.A. A bird in hand is worth two in the bushB. A golden key can open any doorC. Actions speak louder than wordsD. Better late than never15. In the past few years, the fast food restaurant has improved the cooking skills and ______ different customers‟ popular demands.A. applied toB. catered toC. contributed toD. turned to16. We wanted to get home before dark, but it didn‟t quite ______ as planned.A. make outB. turn outC. go onD. come up17. Seeing the happy ______ of children playing in the park, I‟m full of joy and confidence in the future of our country.A. sightB. sceneC. viewD. sign18. Understanding the cultural habits of another country, especially ______ containing many different subcultures like the USA, is a difficult thing.A. whichB. thatC. oneD. those19. Someone ______ up your seat to the lady with a baby, please.A. will giveB. would giveC. givesD. give20. —Are you coming tonight?—I‟d love to, but I‟m afraid I ______ then.A. will be teachingB. will teachC. will have taughtD. am teaching21. —You finally made it, didn‟t you?—Yes, ______ your help, I wouldn‟t have succeeded.A. in spite ofB. but forC. due toD. thanks to22. —Mary, ______ Mr. White wants to see you at the gate.—That is out of ______ question. I‟ve never known any Mr. White.A. / ;/B. a; theC. the; /D. the; a23. Her health ______ under the pressure of work and she had to stay in hospital for a month.A. broke upB. broke awayC. broke outD. broke down24. Once ______, everyone taking the examination will be given test papers.A. seatedB. seatingC. being seatedD. having seated25. —I don‟t feel like going out. Why don‟t we just stay home and watch TV instead?—______ You promised to take me out for dinner and to the theatre on my birthday.A. Great!B. Why me?C. Come on!D. Not at all.26. —Why on earth didn‟t you answer the phone?—I‟m terribly sorry, but the doorbell ______, too.A. is ringingB. rangC. was ringingD. was about to ring27. If you keep practicing your son in football, he ______ to be a famous player.A. wantsB. hopesC. wishesD. promises28. The speech which he made ______ the football match bored a lot of fans to death.A. being concernedB. be concernedC. concernedD. concerning29. Although he knew little about the large amount of work done in the field, he succeeded ______ other more well-informed experimenters failed.A. asB. unlessC. whatD. where30. When we are in new places, we must ______ our manners and try to follow the customs of the place.A. look outB. keep eyes outC. mindD. put up with31. ______ for the terrible coal mine accident, as the public thought, the mayor of the city felt nervous and was at a loss what to do.A. Having blamedB. He was to blameC. Being to be blamedD. Being to blame32. ______, I really believe that I‟d prefer not to make any change now.A. Considered all the possibilitiesB. Taking all the possibilities into considerationC. Taken all the possibilities into considerationD. Giving all the possibilities33. This series of books is said to be a special one, which ______ many events not found in other history books.A. writesB. coversC. dealsD. refers34. —I didn‟t take notes at yesterday‟s meeting because I had left my pen at home.—You ______ mine. I ______ it.A. must have borrowed; wasn‟t usingB. may have borrowed; didn‟t useC. could have borrowed; wasn‟t usingD. should have borrowed; hadn‟t used35. ______, they had no chance of winning the war.A. As they fought bravelyB. Bravely as they fought36. —Why didn‟t you go to help her when she needed your help badly?—I would have, but I ______ as busy as a bee then.A. would beB. had beenC. wasD. were37. I found him sitting in his chair, completely ______ a magazine.A. absorbingB. being absorbedC. absorbed inD. absorbing in38. I think a cold drink can ______ you after your long hot journey.A. recoverB. rewardC. relieveD. refresh39. I would have helped you, but I ______ really occupied the whole week.A. wasB. amC. had beenD. were40. When the spaceship traveled above, ______ new-looking earth appeared before us, ______ earth that we had never seen before.A. a; theB. the; anC. / ;theD. a; an41. She asked the young man to be brief and ______ as she had little time to spare.A. at bestB. in placeC. to the pointD. on the spot42. What worried the boy most was ______ to visit his father in the hospital.A. his not being allowedB. his not allowingC. his not been allowedD. his being not allowed43. —You seem to be deeply struck by her beauty.—Not exactly. It was her skill and courage ______ her beauty that really struck me most.A. other thanB. rather thanC. as well asD. more than44. He was told that it would be at least three more months ______ he could recover and return to work.A. beforeB. whenC. sinceD. that45. —Why did John asked me about the problem?—______, he tried to find a better way to settle it.A. Not to be satisfiedB. Don‟t satisfyC. Not being satisfiedD. Not satisfied46. While tidying the room, Jim found the ______ toy bought for him as a birthday present.A. fine plastic smallB. plastic fine smallC. small fine plasticD. fine small plastic47. December saw a more than average rainfall; ______, the possibility of a drought is still strong.A. thereforeB. neverthelessC. whereasD. although48. I prefer a flat in the suburb to ______ in downtown, because I want to live near my Mom‟s.A. oneB. thatC. itD. this49. The driver got out of the car ______ it caught fire.A. immediatelyB. thatC. unlessD. until50. —______that he managed to pass TOEFL?—Oh, he had studied English in the New Oriental School for several years.A. Where was itB. What was itC. How was itD. When was it51. Have you learned enough spoken English to ______ a conversation with the foreigners?A. carry onB. go onC. take onD. keep on52. The US president Bush said his country will sign a peace treaty with the DPRK（朝鲜）______ the latter gets rid of all its nuclear facilities.A. whileB. even ifC. so thatD. provided53. Be more careful and I‟m sure you‟ll do ______ better next time.A. ratherB. fairlyC. veryD. quite54. The doctor always turned up ______ he was most needed. No wonder he was called “doctor sent by …God‟”.A. the place whereB. in the placeC. in whichD. where55. As many as 150 miners died in the accident. If only the mine-owners ______ enough attention to the safety measures!A. paidB. should payC. would payD. had paid56. I don‟t remember how many years ago ______ I last showed you round the farm.A. it was thatB. was it thatC. it was whenD. was it when57. —Will another fifty be enough?—Just twenty will ______.A. workB. doC. suitD. fit58. ______ she will be back home for her glasses.A. It is long before thatB. It won‟t be long beforeC. It will be long beforeD. It is before long that59. I‟ll ______ my decision and never change it.A. stick toB. insist onC. understandD. give up60. It‟s strange that they ______ without saying good-bye to anybody.A. must have leftB. should have leftC. can have leftD. may have left61. —______ helps others will be helped.—So I‟m thankful to and try to help ______ has helped us.A. Whoever; whomeverB. Who; whoeverC. Whoever; whoeverD. Who; whomever62. It‟s time to stop work. Let‟s ______ the tools and ______ for the night in the woods.A. put into; put onB. put down; put offC. put aside; put outD. put away; put up63. Only when ______ masters of their own country ______ really serve them.A. the people have become; science canB. the people have become; can scienceC. have the people become; science canD. do the people become; can science64. While building a tunnel through the mountain, ______.A. an underground lake was discoveredB. there was an underground lake was discoveredC. a lake was discovered undergroundD. the workers discovered an underground lake65. —Well, lost again!—It is not very important. We ______ forget about it. OK?A. can‟tB. may as soonC. might as wellD. ought to have had to66. He was lucky to win a prize of 500, 000 dollars, ______ known all over the country.A. making himselfB. making himC. to make himD. which make himself67. ______ it ______ for your help, I couldn‟t have made my progress.A. Had; not beenB. Should; not beC. Did; not beD. Not‟ be68. —Why do the boys ______ Liu Jun as “Panda”?—Because he is short and fat with thick glasses.A. refer toB. turn toC. call upD. call for。