高考单选易错题8
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。
历年高考英语单项选择题易错题难题好题汇编及解析
历年高考英语易错题难题好题汇编及解析Zhicheng Professional Middle School,Sichuan Province Xiong Yunhua1、Stop making so much noise ____ the neighbor will start complaining.A、or elseB、but stillC、and thenD、so that选A ; or else意为“要不然,否则”;2、We hope to go to the beach tomorrow, but we won’t go ____ it’s raining.A、ifB、whenC、thoughD、because选A 考查连词;根据语境用if引导条件状语从句;3、——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; hotter选A 本题考查考生运用介词和比较级的能力;For在这里是“就……而言”的意思,而第二个选项要抓住信息词still在此处的妙用,它是用来修饰比较级的,加上上文的cold,在此处就不难选择colder了;4、——How much vinegar did you put in the soup——I’m sorry to say, ____. I forget.A、noB、no oneC、nothingD、none选D 本题考查不定代词的本意区别及其与语境综合运用;此处none指的是not any vinegar,也就是说,此处可以这样理解:I’m sorry to say that I didn’t put any vinegar in the soup, because I forgot it.5、He is only too ready to help others, seldom, ____, refusing them when theyturn to him.A、if neverB、if everC、if notD、if any选 B 本题考查考生在语境中灵活运用、辨析短语用法的能力,此处seldom,if ever是一个短语,是“从不,决不”的意思;6、——What should I wear to attend his wedding party——Dress ____ you like.A、whatB、howeverC、whateverD、how选B 本题however you like相当于in whatever way you like,根据语境,不难判断出B为正确答案;7、——The research on the new bird flu virus vaccine is challenging anddemanding. Who do you think can do the job——____ my students have a tryA、ShallB、MustC、WillD、May选A 本题考查情态动词shall在主语是第二、三人称时,作为征求意见的用法;;8、I’d like to live somewhere ____ the sun shines all year long.A、whichB、thatC、whereD、in which选C 考查连接词;Where引导地点状语从句;9、I ____ to go for a walk, but someone called and I couldn’t get away.A、was planningB、plannedC、had plannedD、would plan选C 考查时态;had planned发生called和couldn’t get away之前; 10、——Your book, Tommy——No, Mom, it’s my friend’s.——Remember to return it to ____ name is on it.A、whatB、whichC、whoseD、whosever选D 考查连接代词;whosever既引导从句作介词to的宾语,又在从句中作定语;11、Thank you for sending us ____ fresh vegetables of many kinds. You havedone us ____ a great service.A、不填;aB、the;aC、不填;不填D、the;不填选A 考查冠词的用法;第一空表示泛指,而第二空构成一个短语do sb. a great service,其意思为“给某人提供好的服务”;Service在这里为抽象名词具体化;12、Now that we ____ all the money, it’s no use turning on me and saying it’sall my fault.A、had lostB、lostC、have lostD、lose选C 考查动词的时态;根据句子的意思,表示发生在过去的动作对现在所产生的影响,所以应该用现在完成时;此句的意思是“由于我把所有的钱都丢失了,所以再开始说是我的过错也就没有意义了”;13、We had a really bad time about six months ago but now things are ____.A、looking upB、coming upC、making upD、turning up选A 考查动词短语的用法;look up的意思为“向上看”、“尊敬”、“仰望”、“查寻”、“拜访”、“好转”,在本语境中为“好转”; 14、——When did it begin to snow——It started ____ the night.A、duringB、byC、fromD、at选A 考查介词表示时间的用法;during the night的意思为“在晚上的某个时间”;15、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;the选C 考查冠词的用法,experience意思为“经验”时是一个不可数名词,当意思为“经历”时是一个可数名词;本题是他在社会中赢得了很丰富的经验,experience在此为不可数名词,社会在这里是抽象名词,所以不加冠词;16、____ from endless homework on weekends, the students now find their ownactivities, such as taking a ride together to watch the sunwise.A、FreedB、FreeingC、To freeD、having freed选A 本题考查free的用法;在这里free的意思为:解除负担、义务或限制;在本题中,free和句子的主语之间是一种逻辑上是动宾关系,所以要用过去分词形式,表示一种被动与完成;17、——So you missed the meeting.——____. I got there five minutes before it finished.A、Not at allB、Not exactlyC、Not especiallyD、Not really选B 本题是对情景交际用语的考查;“你错过了开会”,而从答语中的“我在会议结束前五分钟到达会场”,可以看出答话者认为对方讲话不够确切,毕竟答话者参加了会议,只不过迟到而已;18、——Do you mind if I smoke——____A、Why notB、Yes, help yourselfC、Go aheadD、Yes, but you’d betternot选C 本题考查交际用语,表示许可时,肯定回答常用“Yes, please./ Of course, you may./ Go ahead, please./ Not at all./ Just help yourself.”等表示;B和D选项前后矛盾;19、——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 means选 C 本题考查交际用语;当对方表示感谢时,常用的答语有:You’re welcome./ It’s nothing./ That’s all right./ Don’t mention it./ It’s a pleasure./ It’s my pleasure./ That’s nothing./ It was no trouble at all.等;A项意思为“乐于效劳”;D项表示同意等;B项“不要紧、没关系”;20、____ the temperature might drop, coal was prepared for warming.A、To considerB、ConsideredC、ConsideringD、To be considered选C 根据句意,该空须填一个连词;Considering连词,“就……而论;照……来看”;21、——Tom, you are caught late again.——Oh, ____.A、not at allB、just my luckC、never mindD、that’s all right选B just my luck是习语,意思为“真倒霉”;not at all和that’s all right 多用于对方感谢时的应答语,“不客气”;Never mind用于对方道歉时的应答语,“没关系”;22、——What do you think of the concert——I really enjoy it. I didn’t expect it was ____ wonderful.A、asB、moreC、mostD、very选A 这是一个省略句,承接上文,省略了as I had thought;23、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 which选C 本题主要是对句子结构及关系是考查;根据逗号可知,后面句子为非限制性定语从句,先行词是plan;再根据句子中的was及前面的two 可知本题的正确答案为C;24、I have no one ____ me, for I am a new comer here.A、helpB、helpingC、to helpD、to have helped选C 本题主要考查非谓语动词的用法;根据句意可知句子空白处的非谓语动词作定语,用have sb. /sth. to do的结构;25、The little girl couldn’t work the problem out. She wasn’t ____ clever.A、thatB、muchC、enoughD、too选A 本题主要是对副词的考查;that作副词时,相当于so,强调所指的某一程度;much作副词时,一般只用来修饰形容词或副词的比较级及动词;enough作副词时,总是用在谓语所修饰的形容词或副词之后;too作副词时,强调事物的程度已超出某范围,让人难以应付;26、Listen His family must be quarrelling, ____A、mustn’t itB、isn’t itC、aren’t theyD、needn’t they选C 本题主要考查反意疑问句的表达方式;根据listen可知,must be quarrelling表示推测,此时反意疑问句中的动词须依主语而定,由于his family是指他家里的人,故be用复数形式;27、The police have ____ power to deal with such matters by ____ law.A、the; theB、不填;不填C、不填;theD、the;不填选D 本题主要考查冠词的用法;句子第一空后面的不定式做定语对power进行修饰,特指某种权力,用定冠词the;而第二空后面的law泛指“法律”这一概念,不用冠词;28、Jack felt unhappy as they all went outing ____ him.A、exceptB、butC、withoutD、besides选C 本题主要考查介词的用法区别;根据句子中的felt unhappy可知,句子中表示一种心理状态,于是,正确答案为C;29、That she hadn’t kept her ____ on her work resulted in the failure.A、headB、heartC、brainD、mind选D 本题主要考查名词的意义区别;根据后面的resulted in failure可知,她没有专心于工作,而keep one’s mind on意思为“专心于”,于是正确答案为D;30、——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、Nevermind选A 本题主要考查英语交际用语的应用;根据对方的话“I’m sorry for her”表示对她的关心,于是回答应该用“谢谢”,因此正确答案为A;31、The students spent as much time getting trained as they ____ studying.A、dislikedB、wereC、hadD、did选D 本题考查学生分析句子的能力;只要学生看出as…as前后句式平衡,也就是:The students spent as much time getting trained as they spent in studying.就不难选对D,此时did指代spent;32、It was believed that things would get worse, but ____ it is they are getting better.A、beforeB、afterC、becauseD、as选D 本题要求考生会分析语意;本题联系到省略:but as it is going now, they are getting better这和前面提出的would get worse作意义比较;33、As time went by, the plan stuck ____ fairly practical.A、to provedB、to provingC、provedD、to be proved选 A 本题要求学生会分析句子;本题为省略which/that的定语从句,proved是the plan的谓语,stick to的宾语是which/that;34、More than one ____ the people heart and soul.A、official has servedB、officials have servedC、official has served forD、officials have served for选A 本题考查主谓一致问题;more than one后跟动词的第三人称单数形式;serve此处为及物动词;35、The president stood by a window inside the room, ____, looking over the square.A、where I enteredB、into which I enteredC、which I enteredD、thatI entered选C 考查定语从句;Enter为及物动词,先行词the room为其宾语,不需使用介词,也不能用where;非限制性定语从句只能使用which;36、Though I ____ to go abroad, I changed my mind and decided to stay with my family.A、had wantedB、wantedC、would wantD、did want选A 考查动词的用法;want,think,intend,hope等表示人的想法或愿望的词可用一般过去时表示与现在情况相反的看法或难以实现的愿望,其过去完成时可表示过去未曾实现的想法或愿望;37、My brother is very tall. The little bed won’t ____ for him.A、prepareB、matchC、fitD、do选D 本题主要考查动词的意义、用法区别;38、——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, please选C 本题主要考查语境及英语在交际中的应用;根据句子的意思可知,本题答案选C,对某人的来临表示感谢;39、Scientists say they have found a way to produce the human body’s owncancer-killing cells through gene treatment, ____ new hope to cancer sufferers.A、offeringB、showingC、takingD、making选A 本题主要考查词义的用法区别;选项A意思是“给……提供”;选项B意思是“给……看,展示”;选项C意思是“把……带到”;选项D 意思是“制造,制作”;根据句子的意思可知正确答案为A;40、We are going to discuss the way of reading works ____ it is used for real lifepurposes, and this should give you a better understanding of it.A、thatB、whichC、whereD、when选D 本题主要考查对句子结构、逻辑关系的理解及引导词的应用;根据句子结构reading works ____ it is used for real life purposes作定语修饰前面的the way;根据reading works与it is used for real life purposes的逻辑关系,空后面句子为状语从句,从而排除选项A、B;根据句子的意思:我们将要讨论阅读在用作真实的生活目的时如何起作用的方法,从而可知正确答案为D;41、——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 ordered选C 本题主要考查动词的时态及语态在交际中的应用;根据主语与谓语动词的关系可知是被订购,于是排除选项A;选项B表示将要发生的事情;选项C表示已经发生的事情;选项D表示过去某个时候即将发生的事情;根据前面的That’s too bad.可知,事情已经发生,于是正确答案选C;42、——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、could选C 本题主要考查情态动词的用法;选项A表示事实上的可能或允许;选项B表示要求或肯定的推测;选项C表示建议或根据一般情况的推测;选项D表示较小的可能性;根据句子中的关键词an effective answer可知,后面表示在一般情况下的推测;43、We should know that we can only reach the top if we are ready to ____ andlearn from failure.A、deal withB、depend onC、carry onD、go with选A 本题主要考查动词短语的意义区别;选项A的意思是处置、处理;选项B意思是依赖、依靠;选项C的意思是进行下去,继续开展,坚持下去;选项D的意思是伴随,与……相配,与……持同一看法;;根据语境可知答案选A;44、——Good evening. I ____ to see Miss Jessic.——Oh Good evening. I’m sorry, but she is not in.A、cameB、comeC、have comeD、had come选C 本题主要考查动词时态的用法;选项A表示过去所发生的事情;选项B表示经常性或习惯性的动作;选项C表示目前的情况;选项D表示过去某时间前所发生的事情;根据语境选C;45、——Please call me at 8:00 tomorrow morning. I’m kind of forgetful.——Don’t worry about that, you’ll be surely ____.A、remindedB、toldC、warnedD、informed选A 本题主要考查动词的意义区别;选项A意思是提醒;选项B 意思是告诉;选项C意思是警告;选项D意思是通知;根据句意,本题正确答案为A;46、——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 found选B 本题主要考查非谓语动词的应用;根据非谓语动词与逻辑主语的关系,可排除选项A、C;而选项B表示出乎意外的、今后的结果;选项D表示自然的、经常性的结果;47、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、what选B 本题主要是对非限制性定语从句中关系词的考查;分析句子可知,关系词在此作定语,故排除选项D;根据句子结构,先行词在从句中作状语,从而排除选项C;根据句子的意思可知,先行词应该是at the end of 2004,而不是in that district,故本题的正确答案为B;48、——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、charged选B 考查动词;根据句意“你的帐单中已包括刚才比打破的杯子的费用;”includehave as a part指包含不同的一部分,containhave within itself 着重指被容纳的东西是整体中的组成部分;49、——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 have选C 考查情态动词;根据语境“No”可知“我们没有等”;根据“He didn’t return home at all.”说明“我们不必等;”而B项表示已等过; 50、——How do you think I should receive the reporter——____ you feel about him, try to be polite.A、HowB、WhatC、WhateverD、However选D 根据语境可知不管你觉得他怎样,尽量礼貌地对他;however引导让步状语从句,在从句中作feel的表语;51、____ has recently been done to provide more buses for the people, ashortage of public vehicles remains a serious problem.A、ThatB、WhatC、In spite of whatD、Though what选C 语意为尽管最近已经采取了许多措施给人们提供更多的公交车,但公交车辆的缺乏仍是个严峻的问题;what引导的是名词性从句,相当于名词或名词性短语,不可放在though后,但可放在in spite of后;52、As we have much time left, let’s discuss the matter ____ tea and cake.A、overB、withC、byD、at选A 考查介词;over表示一边……,一边……;一边喝茶吃蛋糕,一边讨论这事;53、Mr Black must be worried about something. You can ____ it from the look onhis face.A、reasonB、recognizeC、readD、realize选C 本题考查动词辨析;reason“思考、想到”,强调通过思索而推理出某结果;recognize强调“认出”某人或某物;realize作“认知、了解、实现”解;read意为“观察、了解”;read one’s thought弄懂某人的想法;54、——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、can选A 本题考查情态动词的用法,shall用于第一和第三人称的陈述句中,表示命令、许诺等,语气很强;can表示可能性,will表将来,need意为需要,都不适用;55、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 free选C “数词+连字符+名词”只能作定语,放在被修饰的名词前,由于free与被修饰对象更紧密一些,因此,只能C项成立;56、——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 holiday选A 通过后面的答语可以看出所问的是:你假期过的怎样B项是问你的奶奶,C项是问假期的去处,D项是问你假期都做些什么事;三者与后面的答语不符合;所以选A;57、——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;不填选B 考查冠词的用法;如果你改进设备中的大部分特指,那你的产量就会有一个大的提高抽象概念具体化,所以本题选B;58、——Will $200 ____ the cost of the damage——I’m afraid not. I need at least $100 more.A、doB、includeC、coverD、afford选C do的主语是人,include应该用被动语态,afford的主语是人,是买的起的意思;通过排除法可知选cover,意思是包括,所以本题选C;59、If you live in the country or have ever visited there, ____ are that you haveheard birds singing to welcome the new day.A、situationsB、factsC、dancesD、possibilities选C 本题考查名词语意的选择;在此处chances的意思是“有……的可能”;本句句意为“你就有可能听到小鸟歌唱来迎接每一天;”60、I ____ you, but I didn’t think you would listen to me.A、could have toldB、must have toldC、should tellD、might rell选A 本题考查情态动词的用法;此处语意为“我当时本应该告诉你could have told you,但我想你不会听我的话”;英语中常用could/might/should/ought to have done这一结构表示“本应该做而没做”;61、This problem may lead to more serious ones if ____ unsolved.A、makingB、remainedC、keepingD、left选D 本题考查省略句的用法;此处完整的句子应为:This problem may lead to more serious ones if it is left unsolved.在从句中如果主语与主句的主语一致时,常将从句的主语和谓语的一部分省略;62、I have no dreams ____ to have a happy life.A、rather thanB、more thanC、other thanD、less than选 C 本题考查短语的用法区别;rather than的意思是“是……不是……”、“宁愿……而不愿……”,more than的意思为“超过、不仅”,other than的意思是“除了”,less than的意思是“少于、决不”;在此处只有选项C最符合本句意义:除了梦想过上好生活,我没有别的梦想了; 63、——You know Mr. Green has been ill for days——Yes, I wonder if he is ____ better now.A、someB、muchC、anyD、no选C any better意为好了一点,符合日常生活对话情景;much better、no better虽符合语法,但不符合该题语境;64、$100 a month could hardly ____ the cost of his life in such a big city in this country.A、spendB、takeC、coverD、meet选C cover=be enough for sth.易误选D,meet支付、偿付某费用,主语一般为人;65、Working in the kitchen for years made Tom ____ a good cook.A、forB、intoC、ofD、as选B make sb. into sb.将某人变成某人66、She was such a proud person that she would die ____ she would admit she was wrong.A、rather thanB、untilC、afterD、before选D before在本句中意为rather than sth67、——Are you through with your homework——Well, ____.A、sort ofB、go aheadC、why notD、that’s OK选A sort of达到某种程度68、——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、proves选A 本题考查动词在具体语境中的意义;promise在此处的意思为“预示会成为”,其他三个选项的动词意义与本题语境不符;69、My mother is always warning me when I go out, “Don’t get off the bus ____ it is stopping.”A、untilB、beforeC、whileD、after选C 本题考查连词的用法;由语境分析可知,此处表达的意思为“在公共汽车将要停止的过程中不能下车”,能表达此意的连词只有while,表示“在……过程中”70、The dance performed by the disabled actors is really a hit, but years ago noone ____ they were to achieve such great success.A、must have imaginedB、could have imaginedC、should have imaginedD、would have imagined选B 本题考查情态动词的用法;由句中的years ago可知这里是对过去发生事情的揣测,因此应用could have imagined;71、The young lady prefers dressing up for a party to ____ by others.A、be noticedB、being noticedC、having been noticedD、have beennoticed选A 本题考查非谓语动词的用法;由句意可知,此处的非谓语在句中作目的状语,意思为“这位年轻的女子喜欢化妆是为了能被别人注意到”;72、Before the war broke out, many people ____ possessions they could nottake with them.A、threw awayB、put awayC、gave awayD、carried away选B 本题主要考查对动词短语的意义辨析;选项A的意思是“扔掉”;选项B的意思是“把……收拾好,储藏……备用”;选项C的意思是“赠送,分发,泄漏,放弃”;选项D的意思是指“冲走”;根据句子的意思,战争爆发时,许多人把带不走的东西收拾起来;于是本题的正确答案选B; 73、____ the pressure from work, teachers have to deal with psychologicalproblems caused by interpersonal relationship.A、As far asB、As long asC、As well asD、As soon as选C 本题主要考查短语意义的辨析;选项A表示“直到、远到,就……,尽……,至于”;选项B的意思是“只要”;选项C的意思是“又,和,及,除了……,还”;选项D的意思是“尽快”;根据句子的意思,除了工作压力外,老师还必须处理由于人际关系所引起的心理问题,故选C; 74、——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 one选 B 本题考查形容词的比较级和最高级;第一句中的“travel,music,clothes and fine food”已给出提示,此空格处要用最高级,所以我们首先排除A和D项;very和much都可以修饰最高级,但在句中的位置不同;very在定冠词the之后,而much则在the之前;75、____ children tend to prefer sweets to meat.A、The mostB、MostC、Most ofD、The most of the选B 这里Most相当于Most of the,表示“大多数”;The most表示“最……”,与句子意思不符;76、——He looks very hot and dry.——So ____ if you had a temperature of 103.A、would youB、will youC、would you have beenD、do you选A 本句中从句谓语动词had是解题的关键,这暗示句子使用了虚拟语气与将来事实相反,主句谓语动词用could,would等;同时,句子的内在逻辑暗示这里应用“so+谓语+主语”句型表示前边一种情况也适用于后者;77、In 1927 Benjamin Franklin founded one of the first adult-educationorganizations, ____ the Junto.A、has been calledB、to callC、a group calledD、which group called选C 根据句子意思,a group called…用作同位语,对前边起补充说明作用,其中called the Junto是过去分词短语用作定语;78、The car ____ at the present speed until it reaches the foot of the mountain atabout nine o’clock tonight.A、wentB、is goingC、goesD、will be going选D 考查时态;此处用将来进行时表示因自然之趋势而发生的将来的结果;79、——You didn’t invite Mary to the ball——____ her, tooA、Must I inviteB、Should I have invitedC、Must I have invitedD、Should I invite选B 考查情态动词;should have done本该做但事实上并未做;80、The number is a special number, ____, I think, that will be remembered bythe Americans forever.A、whatB、itC、whichD、one选D 考查代词;one作number的同位语;81、Will you see to ____ that my birds are looked after well while I’m awayA、themB、yourselfC、itD、me选C 考查it作形式宾语的用法;82、Many teens don’t get enough sleep because they have too much homework,which ____ them up at night.A、makesB、breaksC、turnsD、keeps选D 本题主要考查动词短语的意义区别;接人作宾语时,选项A与之构成make up,指给演员化妆;break up,指驱散、遣散;turn up一般不接人作宾语;keep up,指使某人熬夜;根据句子的意思本题的正确答案选D;83、——Ms Lin looks rather a kind lady.——But in fact she is cold and hard on us. You ____ believe itA、shouldn’tB、wouldn’tC、mustn’tD、needn’t选B 本题主要考查情态动词的意义和用法;选项A表示建议;选项B表示推测;选项C表示禁止;选项D表示需求;根据句子的意思,本题正确答案为B;84、The program is like a window on the world ____ you sit by it and fix yourattention on what it shows.A、ifB、asC、whileD、unless选A 本题主要考查对句子间逻辑关系的理解;选项A表示条件;选项B 表示时间或原因;选项C表示时间;选项D表示否定意义的条件;根据句子的逻辑关系,答案为A;85、____ the search engine just gave me some brief introductions rather thanthe whole content of the book to read.A、LuckilyB、MostlyC、FunnilyD、Disappointingly选D 本题主要考查对副词意义的辨析及对句子意思的理解;选项A的意思是“幸运、感到幸运的是”;选项B的意思是“大部分地,主要地”;选项C的意思是“滑稽地、可笑地”,表示事物的特征;选项D的意思是“令人感到失望的是”;根据句意可知答案为D;86、——Did you know any French before you arrived in Washington——Never ____ it, actually.A、had I learnedB、have I learnedC、I learnedD、was I learning选A 本题主要是对动词时态及句子语序的考查;否定词never置于句首,句子用倒装语序,排除选项C;根据句子的意思,强调在到Washington之前未学过法语,而到Washington是过去的事情,学法语则是过去的过去,须用过去完成时表示,于是本题的答案为A;87、In fact, more and more people ____ to live a greener, healthier and moreenvironmentally “green life”.A、choseB、chooseC、are choosingD、have chosen选C 本题主要是对动词时态的考查;选项C表示目前所正在发生或进行的动作、行为;根据句子的意思,描述目前人们生活中所发生的事情,于是本题的最佳答案为C;88、A special dinner there might include Chinese pork dish, British roast beef andFrench-style vegetables. Boiled rice ____ just about everything.A、is served withB、will serveC、serves withD、is served选A 本题主要是对动词的时态、语态及搭配的考查;根据句子的意思,表示一种经常性的生活方式,故须用一般现在时;从主语与动词的关系来看,须用被动语态;再根据动词的搭配,不管什么菜都供应米饭,应该接介词with,于是,本题的正确答案为A;89、The professor walked onto the platform and seated himself in a chair, ____for answering questions.A、had preparedB、being preparedC、preparingD、prepared选D 本题主要考查对句子结构的理解;根据句子中的walked onto…and seated himself…可知,句子表示几个动作的延续,应该用几个动词的并列答案选D;90、In Scandinavian countries it is common ____ for the husband to stay at hometo look after the baby.A、useB、senseC、practiceD、idea选C practice指惯例、习惯做法,而common sense指常识; 91、——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 off选D set off引起,激起;A letter from his home set off an attack of homesickness…;set out出发,开始;set about开始着手;92、——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、haveplanned选A 用过去进行时表示过去本打算干某事而实际并没干;93、____ abroad for a tour can be a great honor for an ordinary person like me.A、TakenB、TakingC、Being takenD、Having been taken选C 句子缺少主语,首先排除A、D;B项表示主动,只能选C; 94、——Did your classmate accept your invitation——No, he ____ refused.A、as far asB、as well asC、as soon asD、as good as选D as good as,实际上,几乎等于;95、I spent the whole day repairing the motorbike. The work was ____ simple.A、nothing butB、anything butC、something ofD、all except选B anything but意为“一点也不”;nothing but等于only意为“正是,只是”,根据上文提供的语境,“这项工作很麻烦”;96、——Not getting that job was a big let-down.——Don’t worry. Something better will ____.A、come alongB、take onC、go byD、fall behind选A 本题主要考查动词短语的意义辨析;选项A的意思是“出现,进展,一起来”;选项B的意思是“呈现,雇佣,接纳,承担”;选项C的意思是“经过”;选项D的意思是“落后”;根据对话的内容,前者表现出对没有得到工作的悲观情绪,后者表示对他的安慰,指更好的事情会出现,于是本题的正确答案为A;97、____ the help of experienced career instructors, this type of job-huntingtraining ____ to be very efficient.A、By; has provedB、With; has provedC、Under; is provingD、With; is proved选B 本题主要考查固定搭配的识记及动词的语态;根据help的搭配要求,介词须用with,从而排除选项A、C;动词prove表示事物的性质时,为不及物动词,不用被动形式,于是本题的正确答案为B;98、To get as much firsthand information as possible, inspectors will holdworkshops and distribute questionnaires, ____A、isn’t itB、won’t itC、aren’t theyD、won’t they选 D 本题主要考查反意疑问句部分的逻辑一致性;句子的主语是inspectors,代词用they代替;谓语动词的时态为带will的将来时,疑问部分应用won’t形式,于是本题选D;99、It’s a bad practice to ____ children much money as a New Year gift.A、promiseB、permitC、admitD、allow选D 考查词义辨析;allow允许,使得到,而permit强调“正式认”“批准”;。
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。
备战2021年高考数学一轮复习易错题08不等式含解析
易错点08 不等式-备战2021年高考数学一轮复习易错题【典例分析】(2020年普通高等学校招生全国统一考试数学)已知a >0,b 〉0,且a +b =1,则( ) A 。
2212a b +≥B 。
122a b ->C 。
22log log 2a b +≥-D.≤【答案】ABD 【解析】 【分析】根据1a b +=,结合基本不等式及二次函数知识进行求解. 【详解】对于A,()222221221a b a a a a +=+-=-+21211222a ⎛⎫⎪⎭+ ⎝≥-=,当且仅当12a b ==时,等号成立,故A 正确;对于B,211a b a -=->-,所以11222a b -->=,故B 正确;对于C ,2222221log log log log log 224a b a b ab +⎛⎫+=≤==- ⎪⎝⎭, 当且仅当12a b ==时,等号成立,故C 不正确;对于D,因为2112a b =+++=,≤,当且仅当12a b ==时,等号成立,故D 正确;故选:ABD【点睛】本题主要考查不等式的性质,综合了基本不等式,指数函数及对数函数的单调性,侧重考查数学运算的核心素养。
【易错警示】易错点1.随意消项致误 【例1】解不等式;22(1025)(43)0x x x x -+-+≥.【错解】原不等式可化为:2(5)(1)(3)0x x x ---≥,因为2(5)x -≥,所以(1)(3)0x x --≥,所以31x x ≥≤或,故原不等式的解集为:{}|31x x x ≥≤或. 【错因】错误是由于随意消项造成的,事实上,当2(5)0x -=时,原不等式亦成立.【正解】原不等式可化为:50(1)(3)0x x x -≠⎧⎨--≥⎩或50x -=,解得3x ≥或1x ≤或5x =.所以原不等式的解集为:{}315x x x ≥≤=x|或或易错点2.认为分式不等式与二次不等式等价致误 【例2】解不等式;102x x -≤+. 【错解】原不等式可化为:(1)(2)0x x -+≤,解得21x -≤≤,所以原不等式的解集为[2,1]-.【错因】没有考虑分母不能为0【正解】原不等式可化为:(1)(2)02x x x -+≤⎧⎨≠-⎩,解得21x -<≤, 所以原不等式的解集为(2,1]-.易错点3.不等式两边同乘一个符号不确定的数致误 【例3】解不等式;122x x -≤+. 【错解】不等式两边同乘以2x +得:12(2)x x -≤+,解得5x ≥-, 所以原不等式的解集为[5,)-+∞. 【错因】两边同乘以2x +,导致错误【正解】原不等式可化为:1520022x x x x -+-≤⇒≥++,解得5x ≤-或2x >-,所以原不等式的解集为(,5](2,)-∞--+∞.易错点4.漏端点致误 【例4】集合{}{}2|20,|3A x x x B x a x a =--≤=<<+,且A B φ=,则实数的取值范围是______ 【错解】{}{}2|20|12A x xx x x =--≤=-≤≤ ,若使AB φ=,需满足231a a >+<-或.解得24a a ><-或,所以实数a 的取值范围是24a a ><-或.【错因】忽视了集合{}|12A x x =-≤≤的两个端点值-1和2,其实当2a =时{}|25B x x =<<,满足A B φ=;当31a +=-时,即4a =-时也满足AB φ=.【正解】{}{}2|20|12A x xx x x =--≤=-≤≤若使A B φ=,需满足231a a ≥+≤-或,解得24a a ≥≤-或,所以实数a 的取值范围是24a a ≥≤-或. 易错点5.忽视基本不等式成立的前提“正数” 【例5】求函数1y x x=+的值域.【错解】因为12y x x=+≥=,所以函数 1y x x=+的值域为[2,)+∞. 【错因】没有考虑为负数的情形.【正解】由题意,函数1y x x=+的定义域为{|0}x x ≠.当0x >时,12y x x=+≥=,当1x =时取得等号;当0x <时,11()2y x x x x=+=--+≤-=--,当1x =-时取得等号. 综上,求函数1y x x=+的值域是(,2][2,)-∞-+∞. 易错点6.忽视基本不等式取等的条件 【例6】求函数2y =的最小值.【错解】函数222y ===≥,所以函数的最小值为2.【错因】使用基本不等式求函数的最值时,一定验证等号成立的条件即a b a b+≥=才能取等号.上述解法在等号成立时,在实数范围内是不成立的. 【正解】22y ===令2t ≥,1y t t =+在2t ≥时是单调递增的,115222y t t ∴=+≥+=. 故函数的最小值是52.易错点7.多次使用基本不等式,忽视等号是否同时成立【例7】已知两个正实数,x y ,满足4x y +=,求14x y+的最小值.【错解】由已知得44x y xy =+≥≤,142x y +≥=≥,所以14x y +最小值是2.【错因】两次使用基本不等式,其中4xy ≤等号成立必须满足x y =,而14x y+≥的等号成立时,必须有4x y =,因为均为正数,所以两个等号不会同时成立,所以上述解法是错误的. 【正解】141444()()()59x y x y x y x y y x +=++=++≥,当且仅当14x y=且4x y +=,即48,33x y ==时取等号,1494x y ∴+≥,即14x y +最小值为94.【变式练习】一、单选题1.(2020·贵州铜仁伟才学校高一期中)已知0a b <<,则下列不等式正确的是( ) A .22a b <B .11a b <C .22ab < D .2ab b<【答案】C 【解析】试题分析:取a =-2,b =—1,代入到各个选项中得到正确答案为C .2.(2020·河北省高二开学考试)若正数a ,b 满足31a b +=,则13a b+的最小值为( ) A .12 B .14C .16D .18【答案】C【解析】因为31a b +=,所以()131333310b a a b a b a b a b ⎛⎫+=++=++ ⎪⎝⎭,因为a ,b 为正数,所以33b a a b +≥,当且仅当33b a a b =,即14a b ==时取等号, 故13a b +的最小值为16,故选:C 。
高考英语单项选择填空八大陷阱.doc
单项选择填空八大陷阱透析与演练八种常见陷阱1. 思维定势型2. 规则硬套型3. 母语干扰型4. 插入隔离型5. 借用倒装型6. 结构误配型7. 词义误解型8. 词性误用型1. 思维定势思维定势是指人们在长期的思维过程中所形成的一种固定的思维模式。
如果运用得当,会使我们很快得出正确的结论;但若运用不当,它便会误导考生掉入命题人所预设的陷阱,得出错误的结论。
1).In order not to be disturbed, I spent three hours ______ in my study.A. lockingB. lockedC. to lockD. to be locked2).It was 10 o’clock ______ the front doorbell rang.A. whereB. whenC. thatD. which2 规则硬套型就是指不从语言实际出发,不考虑特定的语言环境,而是机械地套用语法规则,生搬硬套语法的条条框框,从而错误地作出选择。
1) He made up his mind to devote his life _____ pollution ______ happily.A. to prevent, to liveB. to prevent, from livingC. to preventing, to liveD. to preventing, living2)The “Two Cities” referred _____ London and Paris.A. is toB. to beC. to areD. to going to be3. 母语干扰型学外语最忌母语干扰,但由于母语在大脑中根深蒂固,所以常常会对外语学习者大脑中尚不牢固的外语知识产生负面影响。
命题者也往往利用这一点,制造陷阱。
1)I’ll come to see you if______.A. you’re convenientB. it is convenient for youC. you feel convenientD. it is convenient with you2) If a northerner lives in south, he will probably feel that ______.A. he doesn’t agree to the climate there.B. the climate doesn’t agree with him.C. he can’t agree with the climate thereD. the climate doesn’t agree to him.4. 插入隔离型有时一个本来很简单的句子,在其中置入一个插入成分,或将某些成分从正常位置调入一个在同学们看来属“非正常”的位置,则很有可能给同学们的理解带来困难。
考纲考点之高考英语单选易错100题汇编
考纲考点之高考英语单选易错100题汇编考纲考点之高考英语单选易错100题汇编1. complain 抱怨 complain to sb about/over sthmake a complaination to sb about/over sthcf: explain to sb sth= make an explanation to sb sthapologize to sb for sth= make an apology to sb for sthtell sb sth tell sb of / about / over sth6. attend the wedding partyDress however you like. 你想咋穿就咋穿How do you like/ find ……?= What do you think of……?你认为……怎么样?9. had thought 原以为 had planned 原计划meant to have done 本打算做却没做didn’t mean to do 没打算做11. many kinds of fresh vegetables = fresh vegetables of many kinds很多种类的新鲜蔬菜two kinds of books= books of two kinds 两种书14. at night in the night 在晚上morning、afternoon、evening、night不管前后有修饰,介词用onon a clear night 在一个晴朗的夜晚on the morning of May 1 在5月1号的上午16. free adj 自由的,免费的a 7-day free trip to sp 免费去某地七日游free of charge for free for nothing 免费的with all the expenses paid 费用全免free vt 解放某人free sb = make sb free from把某人从……解放出来sb be freed from某人从……得以解放出来18. Do you mind if I smoke here?Not at all./ Of course not./ Certainly not.19. It is great fun/ a great pleasure for sb to do sth.What fun (it is for sb to do sth)!for fun= for pleasure 为了取乐My pleasure.我的荣幸,很荣幸。
高中英语单选易错点50题
高中英语单选易错点50题1. The factory ______ I worked last year is very large.A. whereB. whichC. thatD. when答案:A。
本题考查定语从句。
先行词是“factory( 工厂)”,在从句中作地点状语,即“I worked in the factory”,所以用关系副词“where”。
选项B“which”和选项C“that”在定语从句中作主语或宾语,本句不缺主语或宾语。
选项D“when”在定语从句中作时间状语,不符合本句语境。
2. I don't know the reason ______ he was late.A. thatB. whyC. whenD. where答案:B。
此题考查定语从句。
先行词是“reason(原因)”,关系词在从句中作原因状语,即“he was late for the reason”,所以用“why”。
选项A“that”在定语从句中作主语、宾语等成分,本句不缺这些成分。
选项C“when”作时间状语,不符合题意。
选项D“where”作地点状语,也不符合。
3. The news ______ he told me is very exciting.B. whatC. whichD. all of the above答案:D。
本题考查定语从句。
先行词是“news( 消息)”,“he told me”在从句中作宾语,“that”“which”都可以在定语从句中作宾语,而且当先行词是不定代词all, everything, something 等时,关系词用“that”,所以选项A、C 都对,选项B“what”不能引导定语从句。
综上,选择D。
4. This is the book ______ I have been looking for.A. whichB. thatC. whatD. all of the above答案:D。
(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。
高考英语单项选择题易错题集锦
高考英语单项选择题易错题集锦试题1.______ others might have been satisfied, Dawson had higher ambitions.A.WhatB.WhyC.WhichD.Where2. ---I haven't seen you for ages. Haven't you graduated from college?---Yes. I _____ English for four years in Nanjing.A. studyB. have studiedC. am studyingD. studied3. The word "media "basically refers to _____ we commonly call newspapers, magazines, radios and televisions.A. whichB. whatC. 不填D. that4. Eating too much fat can _____ heart trouble and cause high blood pressure.A. result fromB. attend toC. contribute toD. devote to5. Do you expect _____ to be a possibility that Palestine and Israel will make a peace agreement after Yasser Arafat died.A. thatB. thereC. oneD. it6. Most children in Britain are educated at public _____.A. costB. priceC. expenseD. salary7. --- You don't like this oil painting, do you?---______. I like it better _____ I look at it.A. Yes, the momentB. No, asC. No, whenD. Yes, the more8. Dr Brown has the habit of _____ the room when he is thinking about something troublesome.A. pacingB. steppingC. walkingD. marching9. I'm afraid we'll have to work extra hours for there are still some problems ________.A. remaining to settleB. remaining to be settledC. remained to be settledD. to remain to settle10. The newly-founded expedition was __ lots of trouble, __ the financial problem is notthe worst.A. up against; of whichB. faced with; whichC. facing; to whichD. up with; among which11. ---Mum, have you seen my mobile phone?---_______ you bought last week? I'm afraid I haven't seen_______.A. The one; itB. The one; oneC. One; itD. One; one12. The woman was _______ by the business man's offer of marriage and stupidly gave him most of her money.A. taken onB. taken inC. taken offD. taken out13. The____________ house smelled as if it hadn't been lived in for years.A. little white woodenB. little wooden whiteC. white wooden littleD. wooden white little14. My teacher of English is really very kind. I'll never forget the _______ he has done me.A. favorB. deedC. helpD. value15. ---What do you think of the five doll mascots for the 2008 Olympic Games?---_______, they are lovely, but we can't figure out what they mean easily.A. To tell the truthB. I'm afraidC. UnfortunatelyD. As a matter of fact16. ---How did your students express their thanks to you on Teachers' Day?---A gift together with many flowers _______ sent to me .A. isB. areC. wasD. were17.______ from other continents for millions of years, so it has many plants and animals that cannot be found anywhere else in the world.A. Having been separatedB. SeparatedC. It has been separatedD. Having separated18. It was until October that they _____.A. finished their long journeyB. paid off the debtsC. reached an agreementD. worked on the project19. On the top of the hill , the old man once lived.A. a temple stands there; in whichB. a temple standing; on whichC. does a temple stand; whereD. stands a temple; where20. --Why haven't you asked her to come here?--She _______ an important experiment when I found her and she _____ it.A. had done ; didn't finishB. was doing ; hasn't finishedC. did ; wouldn't finishD. has done ; hadn't finished21. We had thought the examination would be difficult, but it_____ easy.A. turnedB. resultedC. appearedD. proved22. No one in the department but Tom and I_________ that the director is going to resign. A. know B. am to know C. knows D. have known23. When a giraffe(长颈鹿) has ______ drink, it has to standwith its front legs wide apart in order to reach ______ water.A. /; /B. a; theC. the; /D. /; the24. - How beautiful the dress looks ____ you! Don't you want_____, Madam?- Please show me _______.A. in; one; anotherB. on; it; anotherC. in; it; the otherD. on; one; the other25. If you feel tired and sick of fat food, that is ________ you have to go to the hospital for a medical examination.A. whyB. whenC. whichD. what26. ---You should have prepared your speech for the meeting , Mr. Smith .---Yes , I know . But how could I _______ the meeting date fixed so soon?A.whileB.asC.afterD.with27.I wonder what will become of my daughter. ________endless homework ,she also bears other leading loads such as revision and recitation.A.As well asB.WithC.ExceptD.Rather than28.How did you like the ________ of the interpreter at the Chinese FM press conference of 6-party talks on TV?A.performanceB.achievementC.materialD.words29.---I ____ to your birthday party last Sunday.---Unfortunately, you were out on business.A. had comeB. cameC. would comeD. would have come30. ---- Did he tell you all about the accident?---- No, I got the feeling that he was ______ something from us.A. keeping offB. keeping backC. keeping outD. keeping up31. ________, I think, and the problem could be settled.A. So long as you keep up your spiritsB. A bit more effortC. If you doubt your effortsD. Making great efforts32. The man we followed suddenly stopped as if____whether he was going in the right direction.A. seeingB. having seenC. to seeD. to have seen33.The passengers were sent to the nearest hospital _____the accident happened.A: shortly B: nearly C: instantly D: almost34. Ladies and gentlemen, please fasten your seat belts. The plane ________. A: takes off B: is taking off C: has taken off D: took off35. To make members of a team perform better, the trainer first of all has to know their _____ and weaknesses.A: strengths B: benefits C: techniques D: values36.A warm thought suddenly came to me I might use the pocket money to buy some flowers for my mother's birthday.A: if B: when C: that D: which37. The study you have been making ______ancient Chinese characters is fascinating.A, to B. for C. from D. of38. Since the mid-1980's, growing numbers of Asians ______ in New Zeahnd, and they _____about six percent of the total population.A. had settled; are made up ofB. have settled; make up C, settled; make up of D. are settling; make up for39. --I caught a student cheating on the exam.--Perhaps if he had spent as much time studying as he _____on his clothes, he would have passed!A. did writingB. writingC. had writtenD. wrote40. It is not yet well understood _______ has made the rainforest disappear year by year.A. whatB. whichC. thatD. how高考英语单项选择题易错题集锦试题参考答案DDBCB CDABA ABAAA CCDDB DCBBB DAADB BCCBA CDBAA。
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。
高考政治选择题易出现的八种失误
MOMODA POWERPOINT
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5.颠倒因果
例7:宗教还将在我国长期存在的原因有() A.宗教作为意识形态具有相对独立性 B.宗教的本质发生了变化 C.国际宗教势力的影响 D.国家实行宗教信仰自由政策
此题的应选题肢是A、C。题肢B不选,是因为在社会主义社会里,宗教的状况虽然起了重大变化,但宗教的本质没有变化。题肢D不选,是因为“我国实行宗教信仰自由政策”,不是“宗教还将在我国长期存在”的原因。恰恰相反,是因为“宗教还将在我国长期存在”,遵循宗教产生、发展、消亡的规律,我国才“实行宗教信仰自由政策”。有些学生没有搞清这个因果关系,结果误选了D。这告诉我们,对于因果型选择题,不能变果为因,也不能变因为果。
2.理解肤浅
例2:民主是一种国家制度、国家形式。对此,正确的理解应该是() A.民主意味着统治阶级的每个成员都可以机会均等地参与国家政治生活 B.民主的核心是多数人的统治 C.民主一直是阶级社会各阶级追求的重要目标 D.公民在法律上享有平等的权利是民主的基本内容
解答这道题需要对民主的概念有深刻的理解。民主是指一种国家制度,即在一定阶级范围内,按照平等的原则和少数服从多数的原则来共同管理国家事务的国家制度。民主具有鲜明的阶级性,体现统治阶级的意志和利益。由此可以看出,此题应选题肢为A、D。只有社会主义民主才在人类历史上真正实现了“大多数人的统治”,多数人才有民主,显然题肢B是错误的。题肢C也是错误的。因为,奴隶制国家和封建制国家绝大多数实行君主专制制度,所以不能说民主一直是阶级社会各阶级追求的重要目标。如果对民主的概念不能深入地理解,就会导致失误。
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.。
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A. findB. foundC. to findD. finding
34.Michael put up a picture of Yao Ming beside the bed to keep himselfof his own dreams.
A.Injuring
B.Injure
C.Injured
D.To injure
18. I like getting up very early in summer. The morning air is so good ______.
A.to be breathed
B.to breathe
C.bme, where can I get my car filled up?
--There are gas stations at _______ end of the block.
A.both
B.neither
C.either
D.all
15.You ______ pay the price if you insist on doing so.