《高三复习--单词填空练习题》

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语法知识点_名词练习题-高三英语复习

语法知识点_名词练习题-高三英语复习

语法知识点点点记,句句清,天天读!基础训练---名词单句填空之名词注意:固定搭配中不止一个单词1.The roofs of the room were covered with _______(leaf).2.There are three ________(woman) doctors in our factory.3.They are editors-in-chief of different presses(出版社). Now they are having a meeting in one of the ________________(editor-in-chief) office.4.Have you ever read _______(today) newspaper?5.The mother over there is (Julia and Mary) mother.6.Food and ______(cloth) are daily necessities(必需品) for the people.7.The room was so quiet that she could hear the _______(beat) of her heart.8.I can’t say which wine is the best---it’s ________(matter) of personal taste.9.One thousand dollars a month is not a fortune but would help cover my living ___________(expend).10.Always read the(instruct) on the bottle carefully and take the right amount of medicine.11.When advised dieting, Marsha would say, “What’s (point) in working so hard to lose weight, only to gain it all back again?”12.At the meeting they discussed three different __________(approach) to the study of mathematics.13.According to news reports, personal _____________(possess) of guns in the USA causes a lot of trouble.14.Nowadays, few people form the habit of keeping a supply of candles in the house in case of ___________(powerful) failure.15.A person of great ______________(determine) usually can achieve his goal.语法知识点点点记,句句清,天天读!基础训练---名词单句改错之名词1.Please give my regard to your parents.2.The mother bird was taking foods to her baby birds.3.On arriving home, she found she had left bag at her friend.4.These programs are great help to learners of English.5.They bought a lot of equipments for the lab.6.We study quiet a few subject, such as maths,Chinese, English and Physics.7.I am going shopping now. How many bread do you want?8.What a beautiful weather we are having recently!语法填空之名词It was late at night. Two __________(German) were sleeping in their room when suddenly, one of them, Mrs. Green, was woken up and found a thief slipping into their room to try his luck. She had three ___________(thousand) dollars in her pocket. “What should I do? Many __________(thief) usually bring _________(knife) with them,” she thought in _________(silent). And at the same time the thief happened to touch a _________(sport) suit. It seemed as if he found there was someone in the room, so he went out to the next room where two _______________(Frenchman) were sleeping. When he was looking for __________(money) or some ____________(jewel) in the next room, Mrs.Green woke up her husband quickly and called the _____________(policeman). And then the thief knew what had happened. He was so scared that he took out a knife. Just then the police showed up. Before the thief ran away, the police caught him. For Mrs. Green, it was really an unusual experience.。

冲刺高考英语小题基础训练:代词介词冠词 (原卷版)(含高考真题)

冲刺高考英语小题基础训练:代词介词冠词 (原卷版)(含高考真题)

专题02 代词介词冠词距离高考还有一段时间,不少有经验的老师都会提醒考生,愈是临近高考,能否咬紧牙关、学会自我调节,态度是否主动积极,安排是否科学合理,能不能保持良好的心态、以饱满的情绪迎接挑战,其效果往往大不一样。

以下是本人从事10多年教学经验总结出的以下学习资料,希望可以帮助大家提高答题的正确率,希望对你有所帮助,有志者事竟成!养成良好的答题习惯,是决定高考英语成败的决定性因素之一。

做题前,要认真阅读题目要求、题干和选项,并对答案内容作出合理预测;答题时,切忌跟着感觉走,最好按照题目序号来做,不会的或存在疑问的,要做好标记,要善于发现,找到题目的题眼所在,规范答题,书写工整;答题完毕时,要认真检查,查漏补缺,纠正错误。

总之,在最后的复习阶段,学生们不要加大练习量。

在这个时候,学生要尽快找到适合自己的答题方式,最重要的是以平常心去面对考试。

英语最后的复习要树立信心,考试的时候遇到难题要想“别人也难”,遇到容易的则要想“细心审题”。

越到最后,考生越要回归基础,单词最好再梳理一遍,这样有利于提高阅读理解的效率。

另附高考复习方法和考前30天冲刺复习方法。

单句填空(冠词:5个介词:5个代词:5个)1.(2022全国甲卷)He flew 4, 700 kilometers ________ Xi’an to Kashgar on Sept. 20, planning to hike back to Xi’an in five months. (用适当的词填空)2.(2022年新高考I卷)Giant pandas also serve ______ an umbrella species(物种), bringing protection to a host of plants and animals in the southwestern and northwestern parts of China. (用适当的词填空)3.(2022年全国乙卷)May 21st this year marks the first International Tea Day, which was named officially ______ the United Nations on November 27th, 2019. (用适当的词填空)4.(2022年全国乙卷)The Chinese Ancient Tea Museum was officially unveiled (揭幕) at the ceremony, opening ______ (it) first exhibition: The Avenue of Truth—A Special Exhibition of Pu'er Tea. (所给词的适当形式填空)5.(2023成外月考)“China Chic’’, involving the use of traditional patterns, is not a wind like trend, a flash in the pan, __________ a way to highlight the hot issues among young people, a positive culture in China.6.(2022全国甲卷)________ friend of his, Wu Fan, volunteered to be his companion during the trip. (用适当的词填空)7.(2022年全国乙卷)To celebrate ______ festival, a number of events took place at the Chinese Businessman Museum in Beijing on Thursday. (用适当的词填空)8.(2022年浙江1月真题)Cobb, for her party, started to ask conference organizers who invited her to speak if she could do so remotely; about three-quarters of ________ time, they agreed. (用适当的词填空)9.(2021年全国I卷)As the song goes, this long and winding road “will never disappear”, and it will always stick in the visitor’s memory. It sure does in ________ (I). (所给词的适当形式填空)10.(2021全国乙卷)Ecotourism has ________(it) origin with the environmental movement of the 1970s. (所给词的适当形式填空)单句改错1.There are many kinds of activities for us to take part.2.Hardly had I returned when I shared the photos and experiences for my classmates.3. Because of I held too many books in my arms, I had difficulty going downstairs.4.So it shocks me that some people in their 20s still get their life supported by our parents.5.While climbing a mountain, we can enjoy beautiful views along the way and totally relax us after tiring work or study.6.The wildlife park is not far from the Museum of Modern Art, so you can easily visit all in a day.7.I have set my alarm clock ahead half a hour.8.It is generally known that there are millions of galaxies in universe.9.So disappointed, he was about to leave when he noticed an owner of the shop signaling to him.10.To tell a truth, when I have trouble, I always turn to my friends for advice.语法填空阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。

高三英语一轮复习语法练习题:定语从句

高三英语一轮复习语法练习题:定语从句

定语从句一、用单词的适当形式完成句子1.The film brought the hours back to me ___________I was taken good care of in that small village. (用适当的词填空)2.There are a wide variety of activities at the festival, most of _________ are popular among young people. (用适当的词填空)3.Steven is a designer ________ works have won international praise. (用适当的词填空) 4.John has been unwell, and this may be the reason ________ he lost the match. (用适当的词填空)5.We all know that there are various types of pollution around us, ________ may cause different kinds of environmental problems. (用适当的词填空)6.Tu Youyou is the scientist ________ discovery has led to the development of new drugs which have saved millions of lives. (用适当的词填空)7.The advantage of studying at home is: I don't have to catch public transport to school, _______ reduces the risk of infection. (用适当的词填空)8.In our class there were 42 students, nearly 80% of ________ wear glasses. (用适当的词填空) 9.The girl arranged to have piano lessons at the training center with her sister ________ she would stay for an hour.(用适当的词填空)10.He helped his team win the game________ was behind by 10 points. (用适当的词填空) 11.Paul was someone ________ worked really hard and had a strong desire to play for the team. (用适当的词填空)12.We are living in a time ________ many things are done on computer. (用适当的词填空)13.He finally got the chance to visit the village ________ he used to have great fun. (用适当的词填空)14.She has become a scientist ________ work is internationally renowned. (用适当的词填空)15.The reason ________ I want to go abroad for study is to broaden my horizon. (用适当的词填空)16.The teachers are waiting for the bus to the school ________ they give lessons as volunteers every Friday. (用适当的词填空)17.The art area contains different rooms, ________ are open to the public for various activities.(用适当的词填空)18.Marina is the kind of woman________ prefers a simple life. (用适当的词填空)19.Winter is the time of a year________the days are short and nights are long. (用适当的词填空) 20.She’s doing an important project ________ I know little. (用适当的词填空)21.Some pre-school children go to a daycare center, ________ they learn simple games and songs (用适当的词填空)22.Rose and Joan were praised for helping a man ________ car broke down on the road. (用适当的词填空)23.Do you know the reason ________she got so angry yesterday? (用适当的词填空)24.The weather turned out to be very good, ________ was more than we expected. (用适当的词填空)25.I’ll never forget the day________ I first met great inventor. (用适当的词填空)26.The talk was given by a man ________ has a background in medicine.(用适当的词填空)27.My daughter, ________ job requires her to do a lot of travelling, is always away from home.(用适当的词填空)28.The last thirty years have seen the greatest number of laws stopping our rights and progress, until today we have reached a stage ________ we have almost no rights at all. (用适当的词填空)29.I can well remember that there was a time ________ a deep blue sky, the song of the birds, moonlight and flowers could never have kept me spellbound. (用适当的词填空)30.The girl ________ is playing tennis is my best friend.(用适当的词填空)31.I have many friends to ________ I am going to send postcards. (用适当的词填空)32.I still remember the days ________ I spent at the school. (用适当的词填空)33.The river ________ runs through the center of the city brings us lots of pleasure. (用适当的词填空)34.Molly is an impressive photographer, _________ pictures have appeared in many magazines. (用适当的词填空)35.Steven was late for class, ________ made his teacher angry.(用适当的词填空)36.I planned to write about Mr. Chaplin, ________ films are still very popular among a large audience. (用适当的词填空)37.I hope one day I could live in a country ________ the sun always shines. (用适当的词填空)38.The problems, ________ we have in our daily life, may be inspirations for great inventions. (用适当的词填空)39.Some pre-school children go to a day care center, ________ they can learn simple games and songs. (用适当的词填空)40.Comedy, ________ styles are varied, is simply a funny way of being serious. (用适当的词填空)参考答案:1.when考查定语从句。

超实用高考英语复习:2012年全国1卷完形填空- 完形填空重难点词组整理

超实用高考英语复习:2012年全国1卷完形填空- 完形填空重难点词组整理

一、词汇朗读版(2012年全国I卷完型词汇)二、2012年全国I卷完型第一节完形填空(共20 小题;每小题两分,满分40分)阅读下面短文,从短文后各题所给的四个选项(A,B,C,D)中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。

Body language is the quiet, secret and most powerful language of all! It speaks 36 than words. According to specialists, our bodies send out more 37 than we realize. In fact, non-verbal (非言语) communication takes up about 50% of what we really 38 . And body language is particularly 39 when we attempt to communicate across cultures.Indeed, what is called body language is so 40 a part of us that it’s actually often unnoticed. And misunderstandings occur as a result of it. 41 , different societies treat the 42 between people differently. Northern Europeans usually do not like having 43 contact (接触) even with friends, and certainly not with 44 . People from Latin American countries, 45 , touch each other quite a lot. Therefore, it’s possible that in 46 , it may look like a Latino is 47 a Norwegian all over the room. The Latino, trying to express friendship, will keep moving 48 . The Norwegian, very probably seeing this as pushiness, will keep 49 — which the Latino will in return regard as 50 .Clearly, a great deal is going on when people 51 . And only a part of it is in the words themselves. And when parties are from 52 cultures, there’s a strong possibility of 53 . But whatever the situation, the best 54 is to obey the Golden Rule: treat others as you would like to be 55 .36. A. straighter B. louder C. harder D. further37. A. sounds B. invitations C. feelings D. messages38. A. hope B. receive C. discover D. mean39. A. immediate B. misleading C. important D. difficult40. A. well B. far C. much D. long41. A. For example B. Thus C. However D. In short42. A. trade B. distance C. connection D. greetings43. A. eye B. verbal C. bodily D. telephone44. A. strangers B. relatives C. neighbours D. enemies45. A. in other word B. on the other hand C. in a similar way D. by all means46. A. trouble B. conversation C. silence D. experiment47. A. disturbing B. helping C. guiding D. following48. A. closer B. faster C. in D. away49. A. stepping forward B. going on C. backing away D. coming out50. A. weakness B. carelessness C. friendliness D. coldness51. A. talk B. travel C. laugh D. think52. A. different B. European C. Latino D. rich53. A. curiosity B. excitement C. misunderstanding D. nervousness54. A. chance B. time C. result D. advice二、词汇检测版(2012年全国I卷完型词汇,满分100分)高考质量提升是一项系统工程,涉及到多个方面、各个维度,关键是要抓住重点、以点带面、全面突破,收到事半功倍的效果。

(全国通用)高考英语二轮复习 第二部分 专题三 代词练习-人教版高三全册英语试题

(全国通用)高考英语二轮复习 第二部分 专题三 代词练习-人教版高三全册英语试题

专题三代词题组一体验真题在空白处填入适当的代词1.(2015·某某卷)The quality of education in this small school is better than ________ in some larger schools.2.(2015·福建卷)The research group produced two reports based on the survey,but ________ contained any useful suggestions.3.(2014·福建卷)In some countries,people eat with chopsticks,while in ________,knives and forks.4.(2014·浙江卷)An average of just 18.75 cm of rain fell last year,making ________ the driest year since California became a state in 1850.5.(2014·安徽卷)You can ask anyone for help.________ here is willing to lend youa hand.6.(2014·陕西卷)I'd appreciate ________ if you could let me know in advance whether or not you will come.7.(2014·四川卷)She'd lived in London and Manchester,but she liked ________ and moved to Cambridge.8.(2014·江西卷)—When shall I call,in the morning or afternoon?—________.I'll be in all day.9.(2013·新课标全国卷Ⅱ)It's an either-or situation—we can buy a new car this year or we can go on holiday but we can't do ________.10.(2013·某某卷)At our factory there are a few machines similar to ________described in this magazine.11.(2013·重庆卷)Recycling is one way to protect the environment;reusing is________.12.(2013·安徽卷)This project requires close teamwork.________ will be achievedunless we work well together.13.(2013·四川卷)The traffic on the main streets has a longer green signal than________ on the small ones.14.(2013·江西卷)________ can be good at something for 40 years if he doesn't loveit.15.(2013·陕西卷)Although Rosemary had suffered from a serious illness for years,she lost ________ of her enthusiasm for life.16.(2012·大纲全国卷Ⅰ)Larry asks Bill and Peter to go on a picnic with him,but________ of them wants to,because they have work to do.17.(2012·大纲全国卷Ⅱ)Sarah made ________ to the airport just in time to catch herplane this morning.18.(2012·江苏卷)Sophia waited for a reply,but ________ came.19.(2012·辽宁卷)If you're buying today's paper from the stand,could you get________ for me?20.(2012·浙江卷)Studying Wendy's menu,I found that many of the items are similarto ________ of McDonald's.答案 1.that 2.neither 3.others 4.it 5.Everyone/Everybody 6.it 7.neither 8.Either 9.both 10.those11.another 12.Nothing 13.that 14.Nobody 15.none 16.neither 17.it 18.none 19.one 20.those题组二尝试模拟Ⅰ.用适当的代词填空1.—Wow! It's a fantastic decoration! Is it expensive?—No.It costs next to ________.2.That region has a lot of natural resources while this one has ________.3.For quite ________ students,their teacher's advice is more important than ________ of their parents.4.________ in my life impressed me so deeply as my first visit to Qinghai Lake.5.—Have you figured out how much the tuition is in American universities? —19,000 or ________ like that.6.New words selected by the dictionary are closely linked to social phenomena.Instead of being merely words,they are ________ cultural symbols.7.—May I ask for leave tomorrow?—No,you can't.________ applying for the scholarship must be present.8.The fact that she can't talk makes ________ difficult for her to communicate with her new classmates.9.Mum,I need a new schoolbag.Could you buy ________ for me tomorrow?10.They have done much of the work;when will ________ be finished?11.He is so young and short a man that I think he is ______ but a professor of NorthwestUniversity.12.I prefer a house in beautiful surroundings in the countryside to ________ in sucha noisy street in Shanghai.13.There is a subway in my hometown,but ________ existed two years ago.14.When Kerry and Sam met again two years later,each was pleased to see ________.15.I will never know what was on his mind at the time,nor will ________else.16.—A lovely day,isn't it?—Yes.I love ________ when the weather is like this.Why not go out for a walk?17.—Hurry up! Can't you drive faster,Jack?—No.If I got ________ speeding ticket,my dad would take away my car.18.I know you want to borrow money but I don't have ________ at hand myself.19.—You look great! Were you on vacation or ________?—You got it.I've just come back from America.20.Almost 90% of the most popular video games contain violence,and ________ of itis extremely violent.答案 1.nothing 2.none 3.a few;that 4.Nothing5.something 6.all 7.Anyone8.it 9.one 10.the rest11.anything 12.one 13.none 14.the other 15.anyone 16.it 17.another 18.any 19.something 20.muchⅡ.选词填空1.He is a teacher,that is,he is ________ but a doctor.2.I have made ________ clear that it is no good living alone without keeping in touch with others.3.Little joy can equal ________ of a surprising ending when you read stories.4.We have various summer camps for your holidays;you can choose ________ based on your interests.5.I hope you will enjoy ________ on the trip.6.Every person showed his ticket,and I showed ________,too.7.________ is Albert Einstein,a famous physicist,but a simple man.8.If I had some money,I would lend him some,but unfortunately,I have ________.9.________ in my life impressed me so deeply as my first visit to the Palace Museum.10.To stay awake,he finished a cup of coffee and ordered ________.答案 1.anything 2.it 3.that 4.one 5.yourself6.mine7.Such8.none9.Nothing 10.anotherⅢ.仿真模拟阅读下面材料,在空白处填入适当的内容(1个单词)或括号内单词的正确形式。

高三专项词汇复习单选题-新人教[[整理].docx

高三专项词汇复习单选题-新人教[[整理].docx

高三专项词汇复习单选题1.He was the first to the danger.A. spot B, recognize C. notice D. watch2.The monument a bird was built the heroes who lost their lives in the war.A. in the shape of, in memory ofB. in shape of, in memory ofC. in the shape of, in the memory ofD. in shape of, in the memory of3.Every weekend, Mrs. Green asked her daughter to visit museum in order to her interest in science.A. developB. growC. buildD. make4. A judge has the to send a person into prison.A. strenghthB. powerC. energyD. force5.-- Have you seen that huge new building going up near he market?------- Yes. I can't what it's going to be . Not an apartment ? Not a hotel? Probably a department store.A. count downB. figureC. figure outD. count6.He said his sister didn't pass the entrance examination of college, and when she heard the news, she couldn't help burst into.A. cryingB. tearsC. tearD. cry7. -- Excuse me, would you mind passing me that English一Chinese dictionary?------- Sorry, it's my reach.A. overB. withinC. far awayD. beyond8. -- Have you recognize me?------- Yes,I caught sight of you .A. whileB. directlyC. one momentD. once9.His long service with the company was with a present.A. admittedB. acknowledgedC. attributedD. accepted10.He was rejected for the jib vacancy because he couldn't be even for the interview.A. responsibleB. beneficialC. punctualD. regular11.These new books are a very welcome to the school library.A. additionB. arrivalC. attitudeD. audience12.He is a investor who studied the market before buying.A. carelessB. hastyC. cautiousD. impatient13.Do you stick with you friends?A. through thick and thinB. on a large scaleC. in detailD. at hand14.Teams also need people to problems, and others to solutions.A. suggest, showB. identify, suggestC. evaluate, combineD. assess, comment15.Roles of team members are accepted and there are no conflicts about expectations and responsibilities each role.A. responsible forB. contrary toC. resistant toD. attached to16.By following your own interests you will ensure that you arrive at in life.A. the possible best stationB. the best possible stationC. the station best possibleD. the station possible best17.1 always have so many things to when I come into the office after a trip abroad.A. add to B, contribute to C. attend to D. appeal to18.The mayor of your town has a meeting to discuss how the money should be used .A. occurred B, addressed C. appointed D. called19.Everything into consideration, they ought to have another chance.A. to takeB. takenC. to be takenD. taking20.Balancing the workload of a ob alongside a course of study can be difficult.A. difficultB. strictC. compulsoryD. demanding21.This ticket one person to the show.A. includesB. entersC. permitsD.admits22.This play,is very wonderful, there are many interesting characters in it.A. in doubtB. on the wholeC. out of questionD. under no condition23.Reading aloud, using a tape recorder, hearing anecdotes and are the best methods for learners who learn through listening.A. getting things throughB. getting things overC. talking things throughD. thinking things over24.There is a lot you can do personally to improve your study skills and find the most appropriate ways to you study tasks.A. approachB. getC. reachD.manage25.July 13,2001 a very bright night in Beijing that will never from memory.A. experienced , goB. saw, fadeC. saw, missD. experience, disappear26. A completely new situation will when the examination system comes into existence.A. ariseB. riseC. raiseD. arouse27.The environment is exactly everything that can affect us in any.A.suspectB. prospectC. perspectiveD. aspect28.The coming of the railways in the 1830s our society and economic life.A. transportedB. transformedC. transferredD. transmitted29.Teaching as a career to many people because of the long holidays.A. attractsB. callsC. appealsD. pulls30.Mother was greatly at the news that her son was found by the police.A. disappointedB. recalledC. relaxedD. relieved答案:AAABC/BDBBC/ACABD/BCDBD/DBCAB/ADBCD。

超实用高考英语复习:填写板块限时模拟训练02 语法填空+应用文写作+读后续写(原卷版,含答题卡)

超实用高考英语复习:填写板块限时模拟训练02 语法填空+应用文写作+读后续写(原卷版,含答题卡)

填写板块限时模拟训练02语法填空+应用文写作+读后续写时间:45分钟满分:55分Ⅰ.语法填空(共10小题,每小题1.5分,满分15分)(2022·济南二模)Five-day work weeks are commonly accepted and practiced.But trials of a four day work week in Iceland were considered 36 ( remarkable) successful.They led to many workers 37 (move) to shorter hours and workers around the world are following the trend.Why has this practice gained 38 ( popular)and is it possible to apply it cross culturally?The rials, 39 involved more than 2, 500 workers took place in 2015.It 40 (report)that productivity remained the same or improved in the majority of workplaces.Meanwhile, they found their working conditions were 41 (little) stressful and they were no longer at risk of burnout, and their health and work life balance had also improved.Therefore, the world's largest ever trial of a shorter working week was by any measure 42 complete success.It shows that the public is service is ripe for being a pioneer of shorter working weeks and_ 43 (lesson) can be learned by other governments.A number of other trials are now being run across the world.For instance.Unilever in New Zealand is giving staff a chance to cut their hours by 20% 44 hurting their pay in a trial.People feel actually more__ 45 ( attach) to the job in that they get rewarded by having more time.Ⅰ.写作(共两节,满分40分)第一节应用文写作(满分15分)(2022·邵阳一模)假定你是李华,你的美国朋友Jack听说中国正在实行“双减”政策,来信询问新政策下中国的中学生们应如何规划自己的学习和课余生活。

高考英语二轮复习 语法填空专项拔高练习 专题高三全册英语试题04

高考英语二轮复习 语法填空专项拔高练习 专题高三全册英语试题04

语鹅市安置阳光实验学校专题25 全国卷语法填空基础巩固1.阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。

Your hero might be your Mom, Dad or both of them. ________my hero is Florence Kelley.In 1871, ________ she was twelve years old, Keley's father took her to a glass factory, ________(show)her the wonders of Americas factories, where she saw small children working with pots full of acid(酸). Kelley was angry. She later learned ________there were over one million children working in hot, crowded and unsafe factories. The work was very ________(danger). Every year tens of thousands of kids died or were ________(serious )hurt. In 1889, Kelley knew something had to be done. She asked people not to buy goods that ________(make)by child workers. She gave speeches and wrote reports. Within a few years she became famous ________ the leader against child labor(童工). In 1893, Kelley ________(fight)for a new law in Illinois. That law said that no factories could have child workers.Florence Kelley is certainly a hero to me. Because of her, you and I don' t need towork in ________ (factory) and hold pots full of acid.【答案】 But;when;showing;that;dangerous;seriously;were made;as;fought;factories 【解析】(1)考查连词。

2023届高三英语二轮复习:传统节日元宵节专题语法填空练习3篇(含答案)

2023届高三英语二轮复习:传统节日元宵节专题语法填空练习3篇(含答案)

(1)阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。

The Lantern Festival arrives as the first full moon of the new lunar year lights up the sky. ___1___ (know) as Yuan Xiao Jie in Chinese, it falls on February 15 this year. ___2___ one of major traditional Chinese festivals, it is celebrated on the 15th of the first lunar month, marking the end of celebrations of the Chinese New Year. It is time ___3___(admire) lanterns, guess lantern riddles and watch lion or dragon dances and art performances. In addition to diverse lanterns and games, ___4___ important tradition of the festival is eating glutinous rice (糯米) balls, known as yuanxiao or tangyuan. In ___5___(variety) regions across China, people prepare different foods to mark the occasion.Yuanxiao are popular in northern China ___6___ tangyuan dominate the south. They are both soft glutinous rice balls with fillings. Although similar in ___7___(appear), there are some differences in terms of cooking and storage. Yuanxiao should be boiled for at least 10 minutes, while tangyuan can ___8___(serve) after around five minutes of cooking. The former have shorter durability period while the latter can be stored for ___9___(long) time when kept in cold environment.The practice of eating these rice balls is a way of paying homage(敬意) to the moon and ___10___(pray) for family reunion, harmony and happiness.(2)Spring festival comes to an end. Here 1.__________ (come) the lantern festival. The lantern festival can be dated back to Han dynasty. It is 2._________ the 15th day of the first lunar mouth. Almost every 3.__________(tradition) festival in China comes with4.__________ (it) own food and the lantern festival is no exception. It is popular to have "yuanxiao" or "tangyuan". It is a kind of dessert 5.____________ (make) from glutinous rice, filled with black sesame, red bean paste or even meat fillings. In Chinese, tangyuann has a similar pronunciation with "tuanyuan", 6.______________ means reunion. Thus, having tangyuan denotes reunion, harmony and happiness for the family. On the Lantern Festival night, the moon illuminates the dark sky while many lanterns shine bright colors on the earth.Lantern is the most notable part of the festival. Chinese craftsmen have made countless lanterns in different 7.___________ (variety) such as Kongming lanterns, water lanterns. People used to join in lantern fairs in which they can watch lanterns, guess riddles and give their faithful prayers to decedents. In ancient China, unmarriedwoman couldn't go out at will. Only at the lantern festival were they allowed to go to the lantern exhibition. That's why ancient Chinese people considered the Lantern Festival as 8.___________ occasion to look for a match 9._____________ meet up with the beloved. Therefore, the lantern festival was 10._______________ (actual) the real Chinese valentine's day.(3)The Lantern Festival or Yuan Xiao Festival, celebrated on the 15th day of the first month (Yuan) of the lunar calendar, marks the first full moon of the new lunar year. During the festival, houses are decorated with colourful lanterns, often with riddles 1.______( write) on them. Festival celebrations also include lion and dragon dances, parades, and fireworks. Small glutinous rice balls filled with fruits and nuts, called yuanxiao or tangyuan, 2.__________( eat) during the festival. The round shape of the balls symbolizes3.______(whole) and unity within the family.The Lantern Festival may originate as far back as the Han dynasty, 4.__________Buddhist monks would light lanterns on the 15th day of the lunar year in honour of the Buddha. The ceremony was 5.__________(late) adopted by the general population and spread throughout the country and other parts of Asia. A legend 6.________ (concern) the festival's origin tells the tale of the Jade Emperor (YuDi) , who became angered at a town 7.___________killing his goose. He planned to destroy the town with fire, 8._______that was prevented by a fairy who advised the people to light lanterns across the town on 9._______ appointed day of destruction. The emperor, fooled by all the light, assumed the town was already in flames. The town was spared, and the thankful people continued to celebrate the event 10.______(annual) by carrying colourful lanterns throughout the town.语法填空答案:(1)解析:1.Known 考查非谓语。

名词、数词、形容词和副词考点运用--2023届高三英语总复习 (人教版2019)

名词、数词、形容词和副词考点运用--2023届高三英语总复习 (人教版2019)

名词、数词、形容词和副词考点运用考点一名词(一)考点练悟(用所给词的适当形式填空)It was late at night. Two 1.________ (German) were sleeping in their room when suddenly, one of them, Mrs. Green, was woken up and found a thief slipping into their room to try his luck. She had three thousand 2.______ (dollar) in her pocket. “What should I do? Many 3.______ (thief) usually bring 4.________ (knife) with them,” she thought in 5.________ (silent). After two 6.________ (minute) search, the thief happened to touch a sports suit. It seemed as if he found there was someone in the room, so he went out to the next room where two 7.________ (Frenchman) were sleeping. When he was looking for 8.________ (money) or some 9.________ (jewel) in the next room, Mrs. Green woke up her husband quickly and called the police. And then the thief knew what had happened. He was so scared that he took out a knife. Just then the police showed up. Before the thief ran away, the police caught him. For Mrs. Green, it was really an unusual 10.________ (experience).【答案】1.Germans2.dollars3.thieves4.knives5.silence6.minutes'7.Frenchmen8.money9.jewels/jewelry10.experience(二)快捷技法思考趋向解题规则1.填名词的单复数若提示词是名词,分析句子成分后发现词性不需要改变,此时应考虑填名词的单复数。

北京市第八中学2019届第一学期高三年级英语期末复习 语法填空 专题练习题 含答案

北京市第八中学2019届第一学期高三年级英语期末复习  语法填空  专题练习题 含答案

2019语法填空Exercise 1阅读下列短文,根据短文内容填空。

在未给提示词的空白处仅填写1个适当的单词,在给出提示词的空白处用括号内所给词的正确形式填空。

(1)Facebook CEO Zuckerberg just had a baby girl named Max, and to honor the occasion, he's giving away the majority of his wealth. In the letter 1. __________ by Zuckerberg and his wife, Priscilla Chan, to their new baby girl, he 2.____________ the birth of his first child and the creation of the Chan Zuckerberg Fund,3.___________ will focus on personalized learning, curing disease, connecting people and building strong communities. (70W)(2)A motto is a sentence or a phrase that can inspire us. My motto is “God helps those who help4. ________(they).”Sometimes I am lazy and don’t want to make efforts to work hard, but the moment I think of my motto I will get energetic again and devote myself5. ________ what I am doing. I write my motto where I can see it easily. Every time I fail in my exam and begin to lose heart, the sight of my motto inspires me with much6. ______________(confident). My motto also makes me become7. ________ independent person. That is to say, I won’t rely on others easily. (115w)(3)Many people underestimate the importance of writing skills. They think that as long as they can speak and understand the language, they know it. Truth is, we live in the age of Internet and smart phones where most of the communication 8. _________ (happen) in writing. An ability 9. ________(express) ideas in a clear and literate way has become10._________(extreme) necessary for work, study and everyday life. (69W)Exercise 2阅读下列短文,根据短文内容填空。

冲刺高考英语专题训练:专题02 代词介词冠词 (解析版)

冲刺高考英语专题训练:专题02 代词介词冠词 (解析版)
【65题详解】
考查定语从句。句意:熊猫国际旅游胜地也在这条绿道上,这里有40多只大熊猫。设空处代指The Panda International Tourism Resort,并在后文非限制性定语从句中作主语,所以用关系代词which引导。故填which。
【66题详解】
考查名词。句意:离成都1000公里的地方也有一条长度相同的绿道,位于武汉。设空处为形容词same修饰的名词。故填length。
专题02代词介词冠词
距离高考还距离高考还有一段时间,不少有经验的老师都会提醒考生,愈是临近高考,能否咬紧牙关、学会自我调节,态度是否主动积极,安排是否科学合理,能不能保持良好的心态、以饱满的情绪迎接挑战,其效果往往大不一样。以下是本人从事
养成良好的答题习惯,是决定高考英语成败的决定性因素之一。做题前,要认真阅读题目要求、题干和选项,并对答案内容作出合理预测
【63题详解】
考查非谓语动词。句意:沿着这条绿道骑行已经成为一项受欢迎的活动。设空处为people’s的名词,cycle此处译为“骑自行车”,所以填动名词形式。故填cycling。
【64题详解】
考查连词。句意:你不仅可以欣赏沿途78座桥的美景,还可以游览121个生态公园如青龙湖。设空处与前文not only构成固定短语搭配not only...but also...,译为“不仅……而且……”。故填but。
1,000 kilometres south of Wuhan, a coastal greenway sits on the bay area of Shenzhen. This greenway looks like a winding ribbon (丝带) linking the city____69____the forests and the sea. Every winter, thousands of birds travel to the mangrove forest (红树林) here. And the greenway provides______70______(extreme) good spots to observe these birds.

高考英语一轮复习练习1 单句语法填空阅读理解(含解析)新人教版-新人教版高三全册英语试题

高考英语一轮复习练习1 单句语法填空阅读理解(含解析)新人教版-新人教版高三全册英语试题

练习1 单句语法填空+阅读理解Ⅰ.单句语法填空(冠词)1.I'm ________ 18­year­old boy in the final year of high school and my life is in progress.2.The concert was such ________ success that it was expected to run for the second night.3.The city's public library recently launched a program on WeChat, ________ popular Chinese messaging software, enabling its readers to check out books online and get them delivered to their homes at low prices.4.Montreal, ________ port city in the province of Quebec, is the second largest city in Canada.5.It means we make sacrifices now, but in ________ long run it'll save us a lot of money.6.Here is ________ very person we are looking for, one with ________ good knowledge of German.7.It is such ________ great pleasure for me to give a speech on the nature of human beings before ________ whole class.8.With the popularity of the Internet, the power of newspapers seems to be on ________ decrease.9.If you want to improve your working efficiency, it will be ________ necessity for you to make ________ most of your time.10.________ cake you bought smells sweet, but I don't want to have a bite of it for ________ time being.Ⅱ.阅读理解AWrite a poem about how courage, determination, and strength have helped you facechallenges in your life.Prizes3 Grand Prizes: Trip to Washington, D.C. for each of three winners, a parent and one other person of the winner's choice. Trip includes round­trip air tickets, hotel stay for two nights, and tours of the National Air and SpaceMuseum and the office of National Geographic World.6 First Prizes: The book SkyPioneer:APhotobiographyofAmeliaEarhart signed by author Corinne Szabo and pilot Linda Finch.50 Honorable Mentions: Judges will choose up to 50 honorable mention winners, who will each receive a T­shirt in memory of Earhart's final flight.RulesFollow all rules carefully to prevent disqualification.■Write a poem using 100 words or fewer. Your poem can be any format, any number of lines.■Write by hand or type on a sin gle sheet of paper. You may use both the front and back of the paper.■On the same sheet of paper, write or type your name, address, telephone number, and birth date.■Mail your entry to us by October 31 this year.1.How many people can each grand prize winner take on the free trip?A.Two. B.Three.C.Four. D.Six.2.What will each of the honorable mention winners get?A.A plane ticket. B.A book by Corinne Szabo.C.A special T­shirt. D.A photo of Amelia Earhart.3.Which of the following will result in disqualification?A.Typing your poem out. B.Writing a poem of 120 words.C.Using both sides of the paper. D.Mailing your entry on October 30.Bhowever, that vacation means students will likely fall behind, and forget things they learned during the year. Simon Vanderpool, a special education teacher in Lexington, Kentucky, decided to do something about it. He started a program called Books and Barbers. Children go to the barber, choose a book and read out loud while the barber cuts their hair. The child gets a sticker and can take the book home. And there is an added bonus: money. The kids get paid to read.Vanderpool says barber shops are places where kids can feel comfortable. “Once a student feels comfortable, that's whenever the brain opens up, and that they are able to start focusing on nothing but learning.〞 Amir Shalash owns a barber shop. But he is doing more than cutting children's hair. He is listening to them, and helping them with their reading.Most of the children getting haircuts at barber shops are boys. Vanderpool's idea was to do more than just help them with reading and money. The teacher wants to help kids who are growing up in a home without a father like he did. “Also, I created the program in order to provide a positive mentor (指导者) for the kids that go into the barber shop, and are able to have someone that they can rely on and they can trust in, and just build a bond between the two of them.〞 Shalash says he and his fellow barbers like being mentors. “The biggest thing is that we try to influence as many kids as we can, and that was my whole intention of it.〞4.Why did Simon Vanderpool start Books and Barbers?A.To help children kill time. B.To bring children a fruitful vacation.C.To reduce teachers' pressure from work. D.To improve children's communication skills.5.What makes a barber shop suitable for Books and Barbers program?A.Its collection of books. B.Its quiet atmosphere.C.Its relaxing environment. D.Its friendly barbers.6.What is Amir Shalash's purpose of taking part in the program?A.To offer valuable guidance to children. B.To show the importance of bonding.C.To tell the necessity of trusting people. D.To influence his fellow barberspositively.7.What is the best title for the text?A.What It Takes to Be a Good Barber B.What to Expect During the Vacation C.How Important Reading Is to Children D.How a Haircut Is Helping Students Read黄金考点语法填空——冠词练习1 单句语法填空+阅读理解Ⅰ.单句语法填空(冠词)1.答案与解析:an 我是一名18岁的男孩,在读高中的最后一年,我的生活正在进展。

超实用高考英语复习: 语法填空--易错拼写词形转换词(1)(原卷版)

超实用高考英语复习: 语法填空--易错拼写词形转换词(1)(原卷版)

易错拼写词形转换词距离高考还有一段时间,不少有经验的老师都会提醒考生,愈是临近高考,能否咬紧牙关、学会自我调节,态度是否主动积极,安排是否科学合理,能不能保持良好的心态、以饱满的情绪迎接挑战,其效果往往大不一样。

以下是本人从事10多年教学经验总结出的以下学习资料,希望可以帮助大家提高答题的正确率,希望对你有所帮助,有志者事竟成!养成良好的答题习惯,是决定高考英语成败的决定性因素之一。

做题前,要认真阅读题目要求、题干和选项,并对答案内容作出合理预测;答题时,切忌跟着感觉走,最好按照题目序号来做,不会的或存在疑问的,要做好标记,要善于发现,找到题目的题眼所在,规范答题,书写工整;答题完毕时,要认真检查,查漏补缺,纠正错误。

总之,在最后的复习阶段,学生们不要加大练习量。

在这个时候,学生要尽快找到适合自己的答题方式,最重要的是以平常心去面对考试。

英语最后的复习要树立信心,考试的时候遇到难题要想“别人也难”,遇到容易的则要想“细心审题”。

越到最后,考生越要回归基础,单词最好再梳理一遍,这样有利于提高阅读理解的效率。

另附高考复习方法和考前30天冲刺复习方法。

词形转换是每年高考语法填空的必考点,词形转换涉及词较多,拼写从简单到复杂不等。

全面备考不留死角,才是备考的万全之策。

本专题着重归类总结语法填空中的易错拼写词形转换词。

确保关注细节,不留死角。

词形转换词遍布高中英语中的各个分册中的每个单元。

易错01……易错拼写词形转换词1.accept v接受—accept ance n —accept able adj【词尾变化异常易错】2.access n.①通道,入口①接近,进入(或接近)的机会,进入(或接近)的权利,使用的机会v.存取,(电脑)取出(资料);使用——accessible a.易接近的,随和的【词尾变化异常易错】3.accuracy n. 准确(性),精确(性)——accurate a. 精确的,准确的【词尾变化异常易错】4.analyse/ze v. 分析——analysis n. 分析, 分析报告【词尾变化异常易错】5.admission n. 准许进入;承认——admit v. 承认;准许进入;让……进入【词尾变化异常易错】6.anxiety n. 担心,忧虑, 渴望——anxious a.不安的,焦急的;渴望的【词尾变化异常易错】7.argue v. 争辩;争吵;说服——argument n. 争论;争辩;辩论【去掉e加ment,很多情况是直接加的】8.bear v出生,忍受—birth n —bearable —adj【词尾变化异常易错】9.beautify v美化beauty n —beautiful—adj beautifully—adv10.belief n. 信条, 信念——believe v. 相信, 认为【词尾变化异常易错】11.beneficial a. 有益的;有利润的——benefit n. 利益, 好处v. (使)受益【词尾变化异常易错】12.bleed v. 出血, 流血—— blood n. 血, 血液【变化异常易错】12.caution n.小心cautious—adj【词尾变化异常易错】13.change n. 零钱; 找头v. 改变, 变化; 更换; 兑换——changeable a.易变的, 变化无常的【直接加able】14.curious a. 好奇的;奇异的——curiosity n.好奇心,好奇【词尾变化异常易错】pete v. 竞争;比赛——competence n. 能力;胜任,称职——competition n. 竞争;比赛【词尾变化异常易错】16.chemistry n.化学chemical adj 化学的chemist n.化学家【词尾变化异常易错】17.choose v.选择choice n. 【词尾变化异常易错】18.clarify v.澄清clarification n.澄清【词尾变化异常易错】19.比较compare comparison comparable comparative20.抱怨complain complaint【词尾变化异常易错】21.考虑consider consideration considerate 【词尾变化异常易错】22.鼓励encourage courage courageous23.死die death dead deadly【词尾变化异常易错】24.决定decide decision decisive 【词尾变化异常易错】25.否认,拒绝deny d enial26.离开depart departure27.深deepen depth deep deeply 【词尾变化异常易错】28.describe v. 描写, 叙述——description n. 描述, 描写【词尾变化异常易错】29.破坏destroy destruction【词尾变化异常易错】30.分开,分成divide division divided【词尾变化异常易错】31.强调emphasize emphasis【词尾变化异常易错】32.热情enthusiasm enthusiastic【词尾变化异常易错】33.存在exist existence【词尾变化异常易错】34.解释;说明explain explanation【词尾变化异常易错】35.爆炸explode explosion explosive 【词尾变化异常易错】36.electric a. 电的;电力的;导电的;带电的—— electrical a. 电的; 与电有关的—— electricity n. 电;电学;电流—— electronic a. 电子的;电子学的;关于电子的【词尾变化异常易错】37.face n. 脸;面部;表面;外表v. 面向; 面对;朝,向facial a. 面部的;面部用的;表面的【词尾变化异常易错】38.fail v. 失败;不及格;使失望,有负于;(视力、健康等)下降n. 失败,失误;不及格;不及格者failure n. 失败;没做到;失败的人或事;失灵一、语境填词1.(2020·新课标全国卷Ⅲ)Filled with _________ (curious), the artist packed his bags and left.2.(2020·山东卷)Historical _______________ (accurate) is important but so is entertainment.3.(2019·新课标全国卷Ⅲ)When they were free from work, they invited us to local events and let us know of an interesting ___________ (compete) to watch, together with the story behind it.4.There are more visible changes in our gestures and ____________ (face)expressions.5.We offer financial _______________(assist) to students.6.I filled in the ______________(apply) form and sent it off.7.Upon _________ (arrive), we began to work immediately.8.It was (consider) of Michael to inform us of his delay in case we got worried.9.(2016 全国II) Then, handle the most important task first so you’ll feel a sense of _______(achieve).10.Mother reserved her (complain) about my messy room until my friend left.11.(2019·全国I) In recent years some Inuit people in Nunavut have reported increases in bear sightings around human settlements, leading to a ________(believe) that populations are increasing.12.He is expected to give us a lively (describe) of the football match that was broadcast live lastnight.13.The weather in April is(change), so you’d better take more clothes with you.14.Social networking has been in (exist) for at least 150 years, and probably longer than that.15.Chopsticks are usually two long, thin pieces of wood or bamboo and sometimes they are quite(art).二、语篇填空用单词的适当形式完成短文【2020·新课标III卷】阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。

(通用版)高考英语二轮复习 语法填空专项拔高练习 专题29(含解析)-人教版高三全册英语试题

(通用版)高考英语二轮复习 语法填空专项拔高练习 专题29(含解析)-人教版高三全册英语试题

专题29 全国卷语法填空根底巩固1.阅读下面短文,在标有序号的空白处填入一个适当的词,或填入括号中单词的正确形式The Water Splashing Festival (泼水节) of the Dai ethnic minority falls in April. It is the most important festival ________ (observe) by the Dai people in the Dehong area of Xishuangbanna, Yunnan Province.During the festival ________lasts three or four days, people are dressed in their best clothes and participate in a variety of rich and colorful ________(activity). Dragon boat racing, fireworks displays and other performances such as Peacock Dance ________(hold) on the first day. And the most popular event ________(be) water-splashing on the second day. People splash water on each other, hoping to take away sicknesses and disasters. The wetter you get, the ________(lucky) you will be. The last day is usually for the young people to play games as a way ________(express) their love for each other.The Water Splashing Festival ________(vivid) exhibits the Dai's respect for water and the culture of music and dance, food, and costumes. It is also a cultural bridge ________Xishuangbanna and Southeast Asian countries that share ________same festival culture of water-splashing.【答案】 observed;which/that;activities;are held;is;luckier;to express;vividly;between;the【解析】〔1〕考查非谓语动词。

高考英语复习练习题含答案语法填空+短文改错组合练(三).doc

高考英语复习练习题含答案语法填空+短文改错组合练(三).doc

语法填空+短文改错组合练(三)题组(一)I.语法填空(2017•四川绵阳第二次诊断)There is a tradition in my school that when the College Entrance Examination is less than a month away, students in the _1_ (low) grades, from Senior 1 to Senior 2, all gather together on the gro und in front of the teachi ng buildi ng and cheer on the Senior 3 students who are standing upstairs. It wasn't until I _2_ (person) took part in the activity that I understood the real _3_ (mean) of it.I was in Senior 2 at the time. _4_ that special night, all the Senior 3 students stood in the corridors (走廊)and looked down at the younger students below. _5_ (vary) cheers started to resound throughout the school, wave after wave. "Believe in yourself! You deserve to win !"_6_ (see) every one's smiling faces aro und me, I thought of _7_ famous quote from the American philosopher Henry David Thoreau : What you get by achieving your goals is not as important as what you become by achieving your goals.Soon it will be my turn to _8_ (bless) in this way, _9_ also means I will have to say goodbye to my school. Sad as it will be f being cheered on by so many students will still be one of the brightest _10_ (time) of my life.体裁:记叙文题材:个人经历主题:为高三学生加油【语篇导读】作者讲述了自己学校为即将参加高考的高三学生加油鼓励的独特方式: 高三的学生站在楼上的走廊上,高一和高二的学生在楼下大声为他们加油,曾经为别人加油的自己如今成了被别人祝福的高三学生面对毕业虽然伤感但是还是很高兴有这样的时刻。

专题12 语法填空之时态专项 -2022年高三英语一轮复习之语法填空

专题12 语法填空之时态专项 -2022年高三英语一轮复习之语法填空

重庆巴蜀中学八年级上册期末数学模拟试卷及答案一、选择题1.如图,一位同学用直尺和圆规作出了△ABC 中BC 边上的高AD ,则一定有( )A .PA =PCB .PA =PQC .PQ =PCD .∠QPC =90°2.下面是投影屏上出示的抢答题,需要回答符号代表的内容.如图,已知AB =AD ,CB =CD ,∠B =30°,∠BAC =25°,求∠BCD 的度数.解:在ABC 和△ADC 中,AB AD CB CDAC AC =⎧⎪=⎨⎪=⎩(已知)(已知) , 所以△ABC ≌△ADC ,(@)所以∠BCA =◎.(全等三角形的★相等)因为∠B =30°,∠BAC =25°,所以∠BCA =180°﹣∠B ﹣∠BAC =125°,所以∠BCD =360°﹣2∠BCA =※.则回答正确的是( )A .★代表对应边B .※代表110°C .@代表ASAD .◎代表∠DAC 3.下列计算结果正确的是( )A .3x+2x =5x 2B .(﹣a 3b )2=a 6b 2C .﹣m 2•m 4=m 6D .(a 3)3=a 64.如图,在四边形ABCD 中,AB =AD ,BC =DC ,AC 与BD 相交于点O ,则①CA 平分∠BCD ;②AC ⊥BD ;③∠ABC =∠ADC =90°;④四边形ABCD 的面积为AC •BD .上述结论正确的个数是( )A .1个B .2个C .3个D .4个5.已知a ﹣b=3,ab=2,则a 2+b 2的值是( )A .3B .13C .9D .11 6.在△ABC 中,∠BAC=115°,DE 、FG 分别为AB 、AC 的垂直平分线,则∠EAG 的度数为( )A .50°B .40°C .30°D .25°7.我国古代许多关于数学的发现都曾位居世界前列,其中“杨辉三角”就是一例,如图,这个三角形的构造法则:两腰上的数都是1,其余每个数均为其上方左右两数之和,它给出了()n a b +(n 为正整数)的展开式(按a 的次数由大到小的顺序排列)的系数规律,例如,第四行的四个数1,3,3,1恰好对应着+=+++33223()33a b a a b ab b 展开式中的系数,请你猜想5()a b +的展开式中含32a b 项的系数是( )A .10B .12C .9D .88.下列计算正确的是( ) A .()33626a a = B .826a a a ÷= C .326a a a ⋅= D .()235a a =9.已知:如图在△ABC ,△ADE 中,∠BAC=∠DAE=90°,AB=AC ,AD=AE ,点C ,D ,E 三点同一条直线上,连接BD ,BE .以下四个结论:①BD=CE ;②BD ⊥CE ;③∠ACE+∠DBC=45°;④∠BAE +∠DAC =180°.其中结论正确的个数是( )A .1B .2C .3D .4 10.下列各多项式相乘:①(-2ab+5x )(5x+2ab);②(ax -y)(-ax-y);③(-ab-c)(ab-c);④(m+n)(-m-n).其中可以用平方差公式的有 ( )A .4个B .3个C .2个D .1个二、填空题11.若方程2111a x x -=+-的解小于零,则a 的取值范围是__________. 12.分解因式:ax 2﹣2ax+a=___________.13.如图,AB CD ,一副三角尺按如图所示放置,∠AEG =20度,则 HFD ∠为 ______________度.14.如图,在ABC 中,AB AC =,点D 在AC 边上,BD BC =.若45ABD ∠=︒,则A ∠的度数是__________.15.如图,△ABC 中,点D 在边BC 上,DE ⊥AB 于E ,DH ⊥AC 于H ,且满足DE=DH ,F 为AE 的中点,G 为直线AC 上一动点,满足DG =DF ,若AE=4cm ,则AG= _____cm .16.如图,将△ABC 沿着DE 对折,点A 落到A ′处,若∠BDA ′+∠CEA ′=70°,则∠A =_____.17.在△ABC 中,已知∠B =50°,∠C =60°,AE ⊥BC 于E ,AD 平分∠BAC ,则∠DAE 的度数是_____.18.如果x 2+mx +6=(x ﹣2)(x ﹣n ),那么m +n 的值为_____.19.如图所示,在ABC ∆中,90C ∠=︒,AD 平分BAC ∠,DE AB ⊥于E ,8BC cm =,则DE DB +=________.20.计算:()10132-⎛⎫π---= ⎪⎝⎭_________. 三、解答题21.如图所示,△ABC 中,AB=BC ,DE ⊥AB 于点E ,DF ⊥BC 于点D ,交AC 于F . ⑴若∠AFD=155°,求∠EDF 的度数;⑵若点F 是AC 的中点,求证:∠CFD=12∠B .22.(1)因式分解;()()22a x y b x y ---;(2)解方程:213211x y x y +=⎧⎨-=⎩. 23.先化简:2222421121m m m m m m m ---÷+--+,其中m 从0,1,2中选一个恰当的数求值.24.如图,等边ABC 中,D 为BC 边中点,CP 是BC 的延长线.按下列要求作图并回答问题:(要求:尺规作图,不写作法,保留作图痕迹)(1)作ACP ∠的平分线CF ;(2)作60ADE ∠=︒,且DE 交CF 于点E ;(3)在(1),(2)的条件下,可判断AD 与DE 的数量关系是__________;请说明理由.25.先化简,再求值:2112(1)3(2)23b a b ---+-,其中a =-1,b =1. 26.如图,已知D 为△ABC 边BC 延长线上一点,DF ⊥AB 于F 交AC 于E, ∠A=35°, ∠D=50°,求∠ACD 的度数.27.如图,在平面直角坐标系中,点 A ,B 的坐标分别为(0,3),(1,0),△ABC 是等腰直角三角形,∠ABC =90°.(1)图1中,点C 的坐标为 ;(2)如图2,点D 的坐标为(0,1),点E 在射线CD 上,过点B 作BF ⊥BE 交y 轴于点F . ①当点E 为线段CD 的中点时,求点F 的坐标;②当点E 在第二象限时,请直接写出F 点纵坐标y 的取值范围.28.(1)如图,ABC 中,点D 、E 在边BC 上,AD 平分BAC ∠,AE BC ⊥,35B ∠=︒,65C =︒∠,求DAE ∠的度数;(2)如图,若把(1)中的条件“AE BC ⊥”变成“F 为DA 延长线上一点,FE BC ⊥”,其它条件不变,求DFE ∠的度数;(3)若把(1)中的条件“AE BC ⊥”变成“F 为AD 延长线上一点,FE BC ⊥”,其它条件不变,请画出相应的图形,并求出DFE ∠的度数;(4)结合上述三个问题的解决过程,你能得到什么结论?29.如图,//AB CD ,点E 在直线CD 上,射线EF 经过点,B BG ,平分ABE ∠交CD 于点G .(1)求证:BGE GBE ∠=∠;(2)若70∠︒=DEF ,求FBG ∠的度数.30.如果一个正整数能表示成两个连续偶数的平方差,那么称这个正整数为“巧数”,如:22420=-,221242=-,222064=-,因此4,12,20这三个数都是“巧数”.(1)400和2020这两个数是“巧数”吗?为什么?(2)设两个连续偶数为2n 和22n -(其中n 取正整数),由这两个连续偶数构造的“巧数”是4的倍数吗?为什么?(3)求介于50到101之间所有“巧数”之和.【参考答案】***试卷处理标记,请不要删除一、选择题1.C解析:C【解析】【分析】利用基本作法,作了线段CQ 的垂直平分线,则根据线段垂直平分线的性质可对各选项进行判断.【详解】由作法得AD 垂直平分CQ ,所以PQ =PC .故选C .【点睛】本题考查了作图-基本作图:熟练掌握5种基本作图(作一条线段等于已知线段;作一个角等于已知角;作已知线段的垂直平分线;作已知角的角平分线;过一点作已知直线的垂2.B解析:B 【解析】【分析】证△ABC≌△ADC,得出∠B=∠D=30°,∠BAC=∠DAC=12∠BAD=25°,根据三角形内角和定理求出即可.【详解】解:在ABC和△ADC中,AB ADCB CDAC AC=⎧⎪=⎨⎪=⎩(已知)(已知),所以△ABC≌△ADC,(SSS)所以∠BCA=∠DCA.(全等三角形的对应角相等)因为∠B=30°,∠BAC=25°,所以∠BCA=180°﹣∠B﹣∠BAC=125°,所以∠BCD=360°﹣2∠BCA=110°.故可得:@代表SSS;◎代表∠DCA;★代表对应角;※代表110°,故选:B.【点睛】此题考查三角形全等的判定及性质,证明过程的填写,正确掌握全等三角形的判定定理是解题的关键.3.B解析:B【解析】【分析】根据合并同类项法则、积的乘方、同底数幂的乘法、幂的乘方分别计算,逐项判断即可求解.【详解】解:A、3x+2x=5x,故原题计算错误;B、(﹣a3b)2=a6b2,故原题计算正确;C、﹣m2•m4=﹣m6,故原题计算错误;D、(a3)3=a9,故原题计算错误.故选:B.【点睛】本题考查了合并同类项、积的乘方、同底数幂的乘法、幂的乘方等知识,熟知相关运算法则是解题关键.4.B【解析】【分析】证明△ABC 与△ADC 全等,即可解决问题.【详解】解:在△ABC 与△ADC 中,AB AD BC DC AC AC =⎧⎪=⎨⎪=⎩,∴△ABC ≌△ADC (SSS ),∴∠ACB =∠ACD ,故①正确,∵AB =AD ,BC =DC∴AC 是BD 的垂直平分线,即AC ⊥DB ,故②正确;无法判断∠ABC =∠ADC =90°,故③错误,四边形ABCD 的面积=S △ADB +S △BCD =12DB ×OA +12DB ×OC =12AC •BD , 故④错误;故选B .【点睛】此题考查全等三角形的判定和性质,关键是根据SSS 证明△ABC 与△ADC 全等. 5.B解析:B【解析】∵a-b=3,ab=2,∴a 2+b 2=(a-b )2+2ab=32+2×2=13,故选B .6.A解析:A【解析】【分析】根据三角形内角和定理求出∠B+∠C ,根据线段的垂直平分线的性质得到EA=EB ,GA=GC ,根据等腰三角形的性质计算即可.【详解】∵∠BAC=115°,∴∠B+∠C=65°,∵DE 、FG 分别为AB 、AC 的垂直平分线,∴EA=EB ,GA=GC ,∴∠EAB=∠B ,∠GAC=∠C ,∴∠EAG=∠BAC-(∠EAB+∠GAC )=∠BAC-(∠B+∠C )=50°,故选A .【点睛】本题考查的是线段的垂直平分线的性质,掌握线段的垂直平分线上的点到线段的两个端点的距离相等是解题的关键.7.A解析:A【解析】【分析】根据“杨辉三角”的构造法则即可得.【详解】由“杨辉三角”的构造法则得:5()a b +的展开式的系数依次为1,5,10,10,5,1, 因为系数是按a 的次数由大到小的顺序排列,所以含32a b 项的系数是第3个,即为10,故选:A .【点睛】本题考查了多项式乘法中的规律性问题,理解“杨辉三角”的构造法则是解题关键.8.B解析:B【解析】【分析】直接利用积的乘方、幂的乘方运算法则以及同底数幂的乘除运算法则分别计算得出答案.【详解】A 、()33928a a =,故此选项错误;B 、826a a a ÷=,正确;C 、325a a a ⋅=,故此选项错误;D 、()236a a =,故此选项错误;故选:B .【点睛】本题主要考查了积的乘方、幂的乘方运算以及同底数幂的乘除运算,正确掌握相关运算法则是解题关键.9.D解析:D【解析】【分析】①由AB=AC ,AD=AE ,利用等式的性质得到夹角相等,利用SAS 得出△ABD ≌△ACE ,由全等三角形的对应边相等得到BD=CE ;②由△ABD ≌△ACE 得到一对角相等,再利用等腰直角三角形的性质及等量代换得到BD 垂直于CE ;③由等腰直角三角形的性质得到∠ABD+∠DBC=45°,等量代换得到∠ACE+∠DBC=45°; ④由题意,∠BAE +∠DAC=360°-∠BAC-∠DAE=180°.【详解】解:①∵∠BAC=∠DAE=90°,∴∠BAC+∠CAD=∠DAE+∠CAD ,即∠BAD=∠CAE ,在△BAD 和△CAE 中,AB AC BAD CAE AD AE =⎧⎪∠=∠⎨⎪=⎩,∴△BAD ≌△CAE(SAS),∴BD=CE ,本选项正确;②∵△BAD ≌△CAE ,∴∠ABD=∠ACE ,∵∠ABD+∠DBC=45°,∴∠ACE+∠DBC=45°,∴∠DBC+∠DCB=∠DBC+∠ACE+∠ACB=90°,则BD ⊥CE ,本选项正确;③∵△ABC 为等腰直角三角形,∴∠ABC=∠ACB=45°,∴∠ABD+∠DBC=45°,∵∠ABD=∠ACE∴∠ACE+∠DBC=45°,本选项正确;④由题意,∠BAE +∠DAC=360°-∠BAC-∠DAE=360°-90°-90°=180°,本选项正确; 故选D .【点睛】本题考查了全等三角形的判定与性质以及等腰直角三角形的性质,熟练掌握全等三角形的判定与性质是解本题的关键.10.B解析:B【解析】【分析】【详解】解:①(-2ab+5x )(5x+2ab)= (5x -2ab )(5x+2ab),符合平方差公式,故①正确; ②(ax -y)(-ax-y) =- (ax -y)( ax+y),符合平方差公式,故②正确;③(-ab-c)(ab-c)=- (a+-c)(ab-c) ,符合平方差公式,故③正确;④(m+n)(-m-n)=- (m+n)(m+n),不符合平方差公式,故④错误.正确的有①②③.故选B.二、填空题11.且【解析】【分析】先将分式方程去分母化为整式方程,求出方程的解,根据方程的解小于零得到或,分别解不等式组求出解集即可.【详解】,(a-2)(1-x)=x+1,(1-a)x=3-a ,x解析:13a <<且2a ≠【解析】【分析】先将分式方程去分母化为整式方程,求出方程的解,根据方程的解小于零得到3010a a ->⎧⎨-<⎩或3010a a -<⎧⎨->⎩,分别解不等式组求出解集即可. 【详解】2111a x x-=+-, (a-2)(1-x)=x+1,(1-a)x=3-a , x=31a a--, ∵方程的解小于零, ∴31a a --<0,311a a-≠-- ∴3010a a ->⎧⎨-<⎩或3010a a -<⎧⎨->⎩, 解得13a <<且2a ≠故答案为:13a <<且2a ≠.【点睛】此题考查根据分式方程的解的情况求未知数的取值范围,解一元一次不等式组.12.a (x-1)2.【解析】【分析】先提取公因式a,再对余下的多项式利用完全平方公式继续分解.【详解】解:ax2-2ax+a,=a(x2-2x+1),=a(x-1)2.【点睛】本题考查解析:a(x-1)2.【解析】【分析】先提取公因式a,再对余下的多项式利用完全平方公式继续分解.【详解】解:ax2-2ax+a,=a(x2-2x+1),=a(x-1)2.【点睛】本题考查了用提公因式法和公式法进行因式分解,一个多项式有公因式首先提取公因式,然后再用其他方法进行因式分解,同时因式分解要彻底,直到不能分解为止.13.35【解析】分析:过点G作AB平行线交EF于P,根据平行线的性质求出∠EGP,求出∠PGF,根据平行线的性质、平角的概念计算即可.详解:过点G作AB平行线交EF于P,由题意易知,AB∥GP解析:35【解析】分析:过点G作AB平行线交EF于P,根据平行线的性质求出∠EGP,求出∠PGF,根据平行线的性质、平角的概念计算即可.详解:过点G作AB平行线交EF于P,由题意易知,AB ∥GP ∥CD ,∴∠EGP=∠AEG=20°,∴∠PGF=70°,∴∠GFC=∠PGF=70°,∴∠HFD=180°-∠GFC-∠GFP-∠EFH=35°.故答案为35°.点睛:本题考查的是平行线的性质、三角形内角和定理的应用,掌握两直线平行、内错角相等是解题的关键.14.30°【解析】【分析】先设,由∠BDC 是△ABD 的外角,可得∠BDC=∠A+∠ABD, 根据等腰三角形两底角相等求出∠ABC=∠C,再根据三角形内角和即可解答.【详解】解析:设.所以∠BD解析:30°【解析】【分析】先设A x ∠=,由∠BDC 是△ABD 的外角,可得∠BDC=∠A+∠ABD, 根据等腰三角形两底角相等求出∠ABC=∠C ,再根据三角形内角和即可解答.【详解】解析:设A x ∠=.所以∠BDC=∠A+∠ABD=x+45°,因为AB=AC ,BD=BC,所以45BDC C ABC x ∠=∠=∠=+︒,()245180x x ∴++︒=︒,390x ∴=︒.30x ∴=︒.故答案为:30°.【点睛】本题考查等腰三角形两底角相等的性质,三角形的内角和定理,三角形外角性质,熟记性质并准确识图是解题关键.15.2或6.【解析】【分析】【详解】∵DE⊥AB,DH⊥AC,∴∠AED=∠AHE=90°.在△ADE 和△ADH 中,∵AD=AD,DE=DH, ∴△ADE≌△ADH(HL),∴AH=A解析:2或6.【解析】【分析】【详解】∵DE⊥AB,DH⊥AC,∴∠AED=∠AHE=90°.在△ADE和△ADH中,∵AD=AD,DE=DH, ∴△ADE≌△ADH(HL),∴AH=AE=4cm.∵F为AE的中点,∴AF=EF=2cm.在△FDE和△GDH中,∵DF=DG,DE=DH, ∴△FDE≌△GDH(HL),∴GH=EF=2cm.当点G在线段AH上时,AG=AH-GH=4-2=2cm;当点G在线段HC上时,AG=AH+GH=4+2=6cm;故AG的长为2或6.16.35°【解析】【分析】先根据折叠性质可求得∠A′DE=∠ADE,∠A′ED=∠AED,再和平角性质可求得根据平角定义和已知可求得∠ADE+∠AED=145°,然后利用三角形的内角和定理即可求得解析:35°【解析】【分析】先根据折叠性质可求得∠A′DE=∠ADE,∠A′ED=∠AED,再和平角性质可求得根据平角定义和已知可求得∠ADE+∠AED=145°,然后利用三角形的内角和定理即可求得∠A的度数.【详解】解:∵将△ABC沿着DE对折,A落到A′,∴∠A′DE=∠ADE,∠A′ED=∠AED,∴∠BDA′+2∠ADE=180°,∠A′EC+2∠AED=180°,∴∠BDA′+2∠ADE+∠A′EC+2∠AED=360°,∵∠BD A′+∠CEA′=70°,∴∠ADE+∠AED=145°,∴∠A=180°-(∠ADE+∠AED)=180°-145°=35°,故答案为:35°.【点睛】本题考查了折叠的性质、平角定义和三角形的内角和定理,熟练掌握折叠的性质是解答的关键.17.5°【解析】【分析】先根据三角形的内角和定理求出∠BAC,再根据角平分线的定义求出∠CAD,然后由直角三角形的两锐角互余求出∠CAE,进而可求得∠DAE的度数.【详解】解:∵在△ABC中,解析:5°【解析】【分析】先根据三角形的内角和定理求出∠BAC,再根据角平分线的定义求出∠CAD,然后由直角三角形的两锐角互余求出∠CAE,进而可求得∠DAE的度数.【详解】解:∵在△ABC中,∠B=50°,∠C=60°,∴∠BAC=180°﹣50°﹣60°=70°,∵AD平分∠BAC,∴∠CAD=12∠BAC=35°,∵AE⊥BC于E,∴∠CAE=90°﹣60°=30°,∴∠DAE=∠CAD﹣∠CAE=35°﹣30°=5°,故答案为:5°.【点睛】本题考查了三角形的内角和定理、角平分线的定义、直角三角形的两锐角互余,属于基础题型,熟练掌握它们的性质及应用是解答的关键.18.-2【解析】【分析】把(x-2)(x-n)展开,之后利用恒等变形得到方程,即可求解m、n的值,之后可计算m+n的值.解:∵(x ﹣2)(x ﹣n )=x2﹣(2+n )x+2n ,∴m=﹣解析:-2【解析】【分析】把(x-2)(x-n)展开,之后利用恒等变形得到方程,即可求解m 、n 的值,之后可计算m+n 的值.【详解】解:∵(x ﹣2)(x ﹣n )=x 2﹣(2+n )x +2n ,∴m =﹣(2+n ),2n =6,∴n =3,m =﹣5,∴m +n =﹣5+3=﹣2.故答案为﹣2.【点睛】本题考查了因式分解的十字相乘法,我们可以直接套用公式()()()2x p q x pq x p x q +++=++即可求解.19.【解析】【分析】由角平分线的性质定理,得到CD=DE ,然后等量代换即可得到答案.【详解】解:∵在中,,∴DC ⊥AC ,∵平分,,∴CD=DE ,∴;故答案为:8cm ;【点睛】本题解析:8cm【解析】【分析】由角平分线的性质定理,得到CD=DE ,然后等量代换即可得到答案.【详解】解:∵在ABC ∆中,90C ∠=︒,∴DC ⊥AC ,∵AD 平分BAC ∠,DE AB ⊥,∴8DE DB CD DB CB +=+==;故答案为:8cm ;【点睛】本题考查了角平分线的性质定理,解题的关键是熟练掌握角平分线的性质定理,正确得到CD=DE .20.3【解析】【分析】根据零指数幂和负指数幂的意义计算.【详解】解:原式=故答案为3.【点睛】本题考查整数指数幂的运算,熟练掌握零指数幂和负指数幂的意义是解题关键.解析:3【解析】【分析】根据零指数幂和负指数幂的意义计算.【详解】解:原式=()112123--=+=故答案为3.【点睛】本题考查整数指数幂的运算,熟练掌握零指数幂和负指数幂的意义是解题关键. 三、解答题21.(1)50°;(2)见解析【解析】试题分析:⑴根据等腰三角形的性质、三角形的内角和定理与四边形的内角和为360°,可求得所求角的度数.⑵连接BF ,根据三角形内角和定理与等腰三角形三线合一,可知12CFD ABC ∠=∠. 试题解析:⑴ ∵∠AFD =155°,∴∠DFC =25°,∵DF ⊥BC ,DE ⊥AB ,∴∠FDC =∠AED =90°,在Rt △EDC 中,∴∠C =90°﹣25°=65°,∵AB =BC ,∴∠C =∠A =65°,∴∠EDF=360°﹣65°﹣155°﹣90°=50°.⑵ 连接BF ,∵AB =BC ,且点F 是AC 的中点,∴BF ⊥AC ,12ABF CBF ABC ∠=∠=∠, ∴∠CFD +∠BFD =90°,∠CBF +∠BFD =90°,∴∠CFD =∠CBF , ∴12CFD ABC ∠=∠. 22.(1)()()()x y a b a b -+-;(2)31x y =⎧⎨=-⎩【解析】【分析】 (1)先提取公因式,再采用平方差公式继续分解.(2)根据加减法解方程即可求解.【详解】(1)()()22a x y b x y ---22()()x y a b =--()()()x y a b a b =-+-;(2)213211x y x y ①②+=⎧⎨-=⎩①+②,得412x =,解得:3x =,将3x =代入①,得321y +=,解得1y =-,所以方程组的解是31x y =⎧⎨=-⎩. 【点睛】本题考查了解二元一次方程组,提公因式法与公式法分解因式,要求灵活使用各种方法对多项式进行因式分解,一般来说,如果可以先提取公因式的要先提取公因式,再考虑运用公式法分解.23.21m +,2 【解析】【分析】原式利用除法法则变形,约分后两项通分并利用同分母分式的减法法则计算得到最简结果,把0m =代入计算即可求出值.【详解】 解:2222421121m m m m m m m ---÷+--+222(2)(1)1(1)(1)2m m m m m m m --=-⋅++-- 21m =+ 因为m+10≠ ,m-10≠,m-20≠所以m 1≠- ,m 1≠,m 2≠当0m =时,原式2=.【点睛】此题考查了解分式方程,以及分式的化简求值,熟练掌握运算法则是解本题的关键. 24.(1)见解析;(2)见解析;(3)AD DE =,见解析【解析】【分析】(1)根据角平分线的作法作图即可;(2)根据作一个角等于已知角的方法作图即可;(3)连接AE ,首先根据等边三角形的性质计算出30BAD EDC ∠=∠=︒,30DEC EDC ∠=∠=︒,进而得到CE CD BD ==,然后证明ABD ACE ∆≅∆可得AD AE =,再由60ADE ∠=︒,可得ADE ∆是等边三角形,进而得到AD DE =.【详解】(1)尺规作图,如下图;(2)尺规作图,如下图;(3)AD DE =理由如下:如图,连接AE∵等边ABC 中,D 为BC 边中点,∴BD DC =,90ADB ADC ∠=∠=︒,∵60B ADE ∠=∠=︒,∴30BAD EDC ∠=∠=︒,∵120ACP ∠=︒,CE 为ACP ∠的平分线,∴60ACE ECP ∠=∠=︒,∴30DEC ECP EDC ∠=∠-∠=︒,∴30DEC EDC ∠=∠=︒,∴CE CD BD ==,在ABD △和ACE △中,∵AB AC =,60B ACE ∠=∠=︒,BD CE =,∴ABD ACE SAS △≌△(),∴AD AE =,又∵60ADE ∠=︒,∴ADE 是等边三角形,∴AD DE =.【点睛】此题主要考查了基本作图,以及全等三角形的判定与性质,解题的关键是正确掌握全等三角形的判定方法.25.a 2-2b +4;3.【解析】【分析】首先根据整式的运算法则对算式进行化简,再把字母的值代入计算即可得到结果.【详解】解:原式=()2211221333223623b a b b a b ⎛⎫⨯-⨯-⨯--⨯-⨯-=-+-+ ⎪⎝⎭=a 2-2b +4,当a=-1,b=1时,原式=1-2+4=3.【点睛】本题考查整式的化简求值,熟练应用乘法对加法的分配律计算是解答本题的关键. 26.83°.【解析】试题分析:由DF ⊥AB ,在Rt △BDF 中可求得∠B ;再由∠ACD=∠A+∠B 可求得. 试题解析:∵DF ⊥AB ,∴∠B+∠D=90°,∴∠B=90°-∠D=90°-42°=48°,∴∠ACD=∠A+∠B=35°+48°=83°.27.(1 ) C(4,1);(2)①F( 0 , 1 ),②1y <-【解析】试题分析:()1过点C 向x 轴作垂线,通过三角形全等,即可求出点C 坐标. ()2过点E 作EM ⊥x 轴于点M ,根据,C D 的坐标求出点E 的坐标,OM =2,得到1OB BM EM ===, BE BF ⊥,得到△OBF 为等腰直角三角形,即可求出点F 的坐标.()3直接写出F点纵坐标y的取值范围.试题解析:(1 ) C(4,1),(2)法一:过点E作EM⊥x轴于点M,∵C(4,1),D(0,1),E为CD中点,∴CD∥x轴,EM=OD=1,()21E∴,,∴OM=2,()10.B,1OB BM EM∴===,45EBM∴∠=︒,BE BF⊥,∴∠OBF=45°,∴△OBF为等腰直角三角形,∴OF=OB=1.()0,1.F∴法二:在OB的延长线上取一点M.∵∠ABC=∠AOB=90°.∴∠ABO+∠CBM=90° .∠ABO+∠BAO =90°.∴∠BAO=∠CBM .∵C(4,1).D(0,1).又∵CD∥OM ,CD=4.∴∠DCB=∠CBM.∴∠BAO=∠ECB.∵∠ABC=∠FBE=90°.∴∠ABF=∠CBE.∵AB=BC.∴△ABF≌△CBE(ASA).∴AF=CE=12CD=2,∵A(0,3), OA=3,∴OF=1.∴F(0,1) , (3) 1y<-.28.(1)15DAE ∠=︒;(2)15DFE ∠=︒(3)15DFE ∠=︒;(4)见解析【解析】【分析】(1)关键角平分线的性质和三角形内角和的性质求角度;(2)作AH BC ⊥于H ,由(1)的结论和平行的性质得到DFE DAH ∠=∠; (3)作AH BC ⊥于H ,由(1)的结论和平行的性质得到DFE DAH ∠=∠.【详解】解:(1)180180356580BAC B C ∠=︒-∠-∠=︒-︒-︒=︒,∵AD 平分BAC ∠,∴40BAD BAC ∠=∠=︒,∵AE BC ⊥,∴90AEB =︒∠, ∴9055BAE B ∠=︒-∠=︒,∴554015DAE BAE BAD ∠=∠∠=︒-︒=︒-;(2)作AH BC ⊥于H ,如图,有(1)得15DAH ∠=︒,∵FE BC ⊥.∴//AH EF ,∴15DFE DAH ∠=∠=︒;(3)作AH BC ⊥于H ,如图,有(1)得15DAH ∠=︒,∵FE BC ⊥,∴//AH EF ,∴15DFE DAH ∠=∠=︒;(4)结合上述三个问题的解决过程,得到BAC ∠的角平分线与角平分线上的点作BC 的垂线的夹角中的锐角为15°.【点睛】本题考查角平分线的性质、三角形内角和、平行线的性质,解题的关键是能够举一反三,通过第一小问的结论能够想到构造辅助线来解决后面的问题.29.(1)见解析;(2)145°【解析】【分析】(1)根据//AB CD ,可得ABG BGE ∠=∠,根据BG 平分ABE ∠,可得ABG GBE ∠=∠,进而可得BGE GBE ∠=∠;(2)根据//AB CD ,可得70ABE DEF ∠=∠=︒,根据平角定义可得180110ABF ABE ∠=︒-∠=︒,根据BG 平分ABE ∠,可得1352ABG ABE ∠=∠=︒,进而可得FBG ∠的度数.【详解】解:(1)证明://AB CD ,ABG BGE ∴∠=∠, BG 平分ABE ∠,ABG GBE ∴∠=∠,BGE GBE ∴∠=∠;(2)//AB CD ,70ABE DEF ∴∠=∠=︒,180110ABF ABE ∴∠=︒-∠=︒, BG 平分ABE ∠,1352ABG ABE ∴∠=∠=︒, 11035145FBG ABF ABG ∴∠=∠+∠=︒+︒=︒.答:FBG ∠的度数为145︒.【点睛】本题考查了平行线的性质,解决本题的关键是掌握平行线的性质.30.(1)400不是“巧数”,2020是“巧数”,理由见解析;(2)是,理由见解析;(3)532.【解析】【分析】(1)根据“巧数”的定义进行判断即可;(2)列出这两数的平方差,运用平方差公式进行计算,对结果进行分析即可; (3)介于50到100之间的所有“巧数”中,最小的为:142-122=52,最大的为:262-242=100,将它们全部列出不难求出他们的和.【详解】解:(1)400不是“巧数”,2020是“巧数”.原因如下:因为2240010199=-,故400不是“巧数”,因为2020=5062-5042,故2020是“巧数”;(2)22(2)(22)(222)(222)2(42)4(21)n n n n n n n n --=+--+=-=-∵n 为正整数,∴2n -1一定为正整数,∴4(2n -1)一定能被4整除,即由这两个连续偶数构造的“巧数”是4的倍数;(3)介于50到100之间的所有“巧数”之和,S=(142-122)+(162-142)+(182-162)+…+(262-242)=262-122=532.故答案是:532.【点睛】本题考查了因式分解的应用.能根据“巧数”的定义进行计算是解决此题的关键.(2)中能利用因式分解把所求的代数式进行变形是解题关键;(3)中不要先计算50到100之间的每一个巧数,根据题意先把它们的和列出来,会发现可以抵消部分,然后计算简单.。

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