上海新竹园6B期中易错题整理

上海民办新竹园中学2016学年第二学期英语学科六年级期中考试卷Part 2 Vocabulary and grammarⅡ.Choose the best answer:1.This clock can only ring the hours.A.’auəsB.’auəzC.əunzD.əuns2.Which of the following underlined parts is different in pronunciation from others?A.toothB.foodC.classroomD.room3.Don’t worry.There is still___________time left.A.fewB.a littleC.littleD.a few4.______________will the life in the future_____________?A.How,likeB.What,likeC.What,be likeD.How,be like5.Most people like black coffee,but I prefer coffee___________milk.A.toB.rather thanC.withD.than6.This is a____________bridge which was built in 1990.A.20 meters longB.20-meter-longC.20-meters-longD.20 meter-long7.____________useful advice the teacher gave us!A.HowB.WhatC.What aD.What an8.My family____________Guangzhou for two months.A.has beenB.has gone toC.has been toD.has been in9.Tina and Rose__________sing popular songs well.A.all canB.can bothC.both canD.can all10._________Jack_________I am going to see the film with Lucy this weekend.A.Both,andB.Neither,orC.Neither,norD.Both,and11.Nowadays,passengers_____________buy tickets from a conductor on many buses.A.needn’tB.don’t needC.not need toD.don;t need to12.-Do you mind my opening the window?-_____________________________.A.Not at all.B.Never mindC.Yes,I doD.No,you can’t BABCCB BDBCDAⅢ.Complete the following passage with the words or phrases in the box. Each can only be used once:A) wakes B) danger C) may D) without E) full F)filledThe world is 1 of many interesting sounds. Some are unpleasant to our ears while others are very pleasant to hear. In a single day you 2 hear hundreds s of sounds. All sounds are different. Some may loud.Some sounds are high while others are low,.Some sounds are useful.We can not talk or listen to another 3 sound. The ringing of the alarm clock 4 people up.The hooting of a car warns people of 5 .ECDABⅣ.Fill in the blanks with the proper form of the words:1.Did you enjoy_______at yesterday’ party,Jack?(you)2.Who runs______among them there?(fast)3.The old man been____________for three months.(die)4.It was the most__________experience in my life.(forget)5.Alice and Kitty want to work as___________in five-star hotel.(wait)6.I’m _____________sorry for the mistake I’ve made.(true)7.The street is ________than before.(noise)yourself;fastest;dead;unforgettable;waitresses;truly;noisierⅤ.Rewrite the sentences as required.1.Andy’s never late for class.(反意疑问句)2.The pair of shoes is so small that he can’t wear them.(改为简单句)3.It took them 20 minutes to ride their bicycles to the cinema.(改为同义句)4.Jerry borrowed the storybook two weeks ago.(改为同义句)5.There are three bottles of cola in the fridge.(划线部分提问)6.of,both,has,the opening,changed,the lives,of,groups,the preschool(连词成句)1.Andy’s never late for class,is he?2.The pair of shoes is too small for him to wear.3.They spent 20 minutes riding their bicycles to the cinema.4.Jerry has kept the storybook since two weeks ago.5.How much cola is there in the fridge?6.The opening of the preschool has changed the lives of both groups.Ⅵ.Reading comprehension.A.Choose the best answerRon, the teacher at the skydiving (跳伞运动) school, was surprised when the gray-haired man said that his name was Walter and asked if he could take skydiving lessons. Ron asked him how old he was and he replied that he was 60. Ron explained to Walter that anyone over 50 had to be checked by a doctor before he could learn to jump from a plane.“I’m afraid you should have thought about that before coming here,”Ron said."I'm sorry, but I can't let you start learning without a letter from your doctor."Walter smiled. "Here is a letter from my doctor. He asked me to take lots of tests and he says that I'm fine."So Walter was able to join the skydiving school.Soon it was the time for him to make his first jump. Ron asked him if he was feeling OK.However, just before he jumped, he told Ron that he wasn't 60. Ron asked how old Walter really was and Walter told him he was 75 Walter has a lot of hobbies.He enjoys riding fast motorbikes and climbing mountains.His daughter Betty worries about him. "I think he should stop all these activities. But my mother says that as long as he's happy, it's OK."1.How old was Walter when he was wanted to take skydiving lessons?A.60B.50C.75D.812.What should a man who was over 50 do if he wanted to take skydiving lessons?A.He should buy a planeB.He should take a lot of medicine.C.He should borrow a plane.D.He should be checked by a doctor.3.According to the doctor’s letter,____________.A.Walter took a lot of tests and he was fine.B.Water was more than 60.C.Walter worked hard and he could take the lessons.D.Walter should stop all the activities.4.What did Walter say before he made his first jump?A.He said he was exciting.B.He said he didn’t feel OK.C.He said his real age was 75.D.He said he was afraid.5.What kind of activity did Walter like best?A.Indoor activitiesB.Outdoor activitiesC.Reading newspapersD.Playing games6.Who had the same idea with Walter?A.Walter’s daughterB.His friendsC.His classmatesD.His wife CDACBDB. Choose the best answer and complete the passageIf you have no mobile phone, no computer, and no Internet with you, what will you do with your free time? Will you go 1 ?Harley, a 15-year-old girl from California, US stayed calm. She did something different. Her mobile phone didn’t work one day, so she decided to try and live 2 it. She took a six-week summer travel with some friends.Harley and ten other teenagers rode their bikes 3,000 miles across the States. With two college students as guides, they started from a beach in Georgia on June 23. They travelled through small towns in the south, they 3 in the mountains.It’s not easy to find a comfortable place to sleep. “It was too hot in the south, and super wet, too.”Harley said. And mosquitoes (蚊子) were around them 4 when sleeping outside.Although there were 5 , no one left the team. “Everyone was hard-working and did everything for the group,”Harley said. “We learned how to live with other people and look after each other.”From these things, they not only 6 themselves, but also opened their eyes. “Southern people are really nice,”Harley said. “Small communities were just that. It’s a nice change of what most of us are used to. It’s how the rest of the country lives. It’s a whole new world.”1.A. enjoyable B. interesting C. crazy D. Busy2.A. with B. without C. on D. for3. A. set a fire B. watched TV C. had a picnic D. made camps4.A.all the time B.foe the time being C. from time to time D. in a short time5. A. happiness B. goodness C. worries D. difficulties6. A. trained B. taught C. learned D. PracticedCBDADAC. Fill in the blanks with proper wordsA good breakfast is important.We can easily u 1 it.We have not eaten a 2 for about twelve hours by breakfast time.Our b 3 need food for morning activities.One good breakfast should be rice or bread,an egg ,milk and fruit.On a cold m 4 ,a cup of hot d 5is necessary.We must get us early to have e 6 time to eat breakfast.A good breakfast helps us to be energetic(精力充沛的)to work better and to play more h 7 .understand anything bodies morning drink enough happilyD. Answer the questionsThe most frightening words in the English language are, "Our computer is down." The other day I was at the airport waiting for a ticket to Washington and the girl in the ticket office said, "I'm sorry, I can't sell you a ticket. Our computer is down.""If your computer is down, just write me out a ticket.""I can't write you out a ticket. The computer is the only one allowed to do so."I looked down on the computer and every passenger was just standing there drinking coffee and looking at the black screen. Then I asked her, "What do all you people do?""We give the computer the information about your trip, and then it tells us whether you can fly with us or not.""How long will the computer be down?" I wanted to know.“Sometimes it's down for 10 minutes, sometimes for two hours. There's no way we can find out without asking the computer."After the girl told me they had no backup (备用) computer, I said. "Let's forget the computer. What about your planes? They're still flying, aren't they?""I couldn't tell without asking the computer.""Is there any other airline flying to Washington within the next few hours?""I don't know, " she said, pointing at the dark screen. "Only 'IT' knows. 'It' can't tell me."By this time there were quite a few people standing in lines. The word soon spread to other travelers. Some people went white, some people started to cry and still others kicked their own bags.1.Where was the writer that day?2.Which city did the writer want to visit?3.What does the sentences”The computer is down”mean in English?4.There was no backup computer at the airport,was there?5.What could the girl do for the passengers without asking the computer?6.Can you imagine how the writer felt at that time?1.He was at the airport.2.He wanted to visited Washington.3.The computer doesn’t work.4.No, there wasn’t.5.Nothing.6.Any reasonable answer is OK.Ⅶ.Translate the sentence into English1.他们把钱投入车票箱，或者用一张公交卡来代替。

上海英语6B期末考试易错题——画线部分提问（练习）6B复习题—画线部分提问1.The train will leave in five minutes. （画线提问）will the train leave?2.Washington DC is the capital of the USA. (画线提问)is the capital of the USA？3.Foreign visitors always visit the Great Wall. (画线提问)foreign visitors always visit?4.They plan to go to Australia to spend Christmas Day. (画线提问)they plan to go to spend Christmas Day？5.Tommy was unhappy because he was poor at the Maths test.(画线提问)Tommy unhappy?6.Ben got up early in the morning to catch the early school bus.(画线提问)Ben get up early in the morning?7.Qu Yun lived in China long long ago. (画线提问)and did Qu Yun live?8.Mr Ma always has toothache because he eats too much sweet food. (画线提问)Mr Ma always have toothache?9.She will stay in New York for two years. (画线提问)will she stay in New York?10.The students like having soft drinks in the canteen in summer. (画线提问)students like having in the canteen in summer?11.The fashion show is going to last for an hour. (画线提问)is the fashion show going to last?12. Travelling by bus was not comfortable. (画线提问)travelling by bus?13. Kitty will be 1.70 metres tall in five years’ time. (画线提问)Kitty in five years’ time?14. We will leave school in three and a half years. (画线提问)will you leave school?15. The cartoon film was really funny. (画线提问)did you of the cartoon film?16. Most of the dancers on the team are tall and slim. (画线提问)Are most of the dancers on the team ?。

难题、重点题、易错题Unit 1选出画线部分读音不同的一项（）1、A, mouse B, cousin C, loudly D, house（）2、A, strong B, go C, open D, close（）3、A, sadly B, happily C, bad D, wake（）4、A, weak B, reach C, sweater D, please（）5、A, sharp B, large C, scarf D, warm单选题（）1、Look! They’re ________.A, sitting quiet B, sit quietly C, sitting quietly（）2、This baby is my cousin. Don’t wake _______.A, up him B, him up C, he up（）3、The lion laughed ______.A, loudily B, loudly C, loudy（）4、Look! They’re playing games ______.A, sad B, happy C, happily（）5、Let's cheer ______ together.A, for them B, to them C, with them（）6、The boy is very ______.A, excited B, excite C, happily（）7、Don’t pour the water ____ the bottle.A, in B, into C, on（）8、Nancy and Helen are not good ____ basketball.A, at B, in C, for（）9、Tom’s brother _____ his new football _____ his friends yesterday.A, give, to B, show, to C, showed, to（）10、He let the boy ______.A, going B, go C, went（）11、Here _____ the bus !A, come B, coming C, comes用所给单词的适当形式填空1、It’s time _______ （go）to the park.2、There are two ______（mouse）in the box.3、My sister ______ （not play）it yesterday afternoon.4、_______（they）classroom is very messy.5、We’re going to _______（brush）the shoes tomorrow.6、Miss Wang _______（buy）some flowers last Sunday.7、You ______ （should）throw rubbish anywhere.9、Butterflies are _______（beautiful）. They like ______（dance）______（beautiful）按要求改写句子1、The lion bit the net with his teeth.（改为一般疑问句）___________________________________________________2、The girl woke her mother up in the morning. （改为否定句）___________________________________________________3、The cat caught the mouse just now. （对划线部分提问）___________________________________________________4、Two men caught the lion with a large net.（对画线部分提问）___________________________________________________Unit 2选出画线部分读音不同的一项（）1、A, box B, horse C, doctor D, short（）2、A, day B, play C, Monday D, say（）3、A, healthy B, meat C, reach D, season（）4、A, diet B, little C, time D, find（）5、A, hear B, year C, near D, early（）6、A, tooth B, food C, noodles D, football单选题（）1、Helen is ill. Let’s go and see_____.A, her B, she C, him D, them（）2、You should ______ your books _____.A, put, order B, put, in order C, put, on order D, puts, in order（）3、Bob often _______ in the morning.A, brushes his teeth B, brushes her teeth C, brushes his tooth D, brush his teeth （）4、There is _____ egg for you. ______ egg is for you.A, the, An B, an, An C, an, The（）5、______ beautiful the flowers are!A, How B, What C, How a（）6、I will go to Beijing _____ my parents.A, on B, for C, with（）7、The book is very ______. I’m _____ in it.A, interested, interested B, interesting, interested C, interesting, interesting （）8、My mother was angry _____ me yesterday.A, on B, with C, for（）9、He______ three pictures yesterday.A, draw B, draws C, drew（）10、We should turn _____ the light when we leave the room.A, on B, in C, off（）11、The White House is in _______.A, France B, China C, the US用所给词的适当形式填空1、Look! This is _____（we）new school.2、That new schoolbag is ______ （Tina）.3、You should _______（listen）to the teachers in class4、I feel very ______（sleep）now.5、I’m _______（sleep）now. I want to go to bed.6、He can _____（play）table tennis ______（good）.7、Sam _____（wash）his shoes last week.8、My sister _____（have）some good habits.按要求改写句子1、I did my homework after dinner last night.（改为一般疑问句）______________________________________________________2、She gets up early every day.（改为否定句）______________________________________________________3、We go to school early. （改为同义句）We don’t go to school _______.4、He often takes a bus home.（改为同义句）He often _______ home ______ bus.Unit 3选出画线部分读音不同的一项（）1、A, food B, zoo C, look D, school（）2、A, about B, mouth C, should D, loudly（）3、A, visitor B, short C, horse D, for（）4、A, pig B, like C, him D, fish（）5、A, dear B, hear C, eat D, near单选题（）1、Sam _____fruit.A, doesn’t like eating B, doesn’t kikes eating C, doesn’t like eat （）2、There’s _____ water in the glass.A, a lot B, a few C, a little（）3、There is _____ food in the fridge.A, many B, a lot C, much（）4、It’s late. You ______ home now.A, have to going B, have to go C, have go（）5、Do you want _____ this afternoon?A, to coming B, come C, to come（）6、Can I have ______ cola?A, any B, some C, a（）7、The bag is ______ for the little boy.A, too heavy B, to heavy C, heavy too（）8、Milk is good _____ my bodyA, for B, to C, at（）9、Look! They’re ________A, Chinese peoples B, Chinese people C, China people（）10、_____ a healthy diet, there is a lot of fruit and vegetables.A, In B, To C, On用所给单词的适当形式填空1、Nancy always _____ （put）her things in order.2、The lion _____ （bite）the net with his sharp teeth,but that did not help.3、The boy wears a yellow coat. We can see him _____（easy）.4、Vegetables are _____ （health）for us.5、I want _____（drink）some tea.6、Let ____（I）play the game first.7、There _____（be）some fruit and a lot if vegetables on the table.8、Can your little brother use the knife ______（safe）?按要求改写句子1、I have some dumplings for breakfast.（对画线部分提问）_________________________________________________2、There are some ducks in the basket.（改为一般疑问句并做否定回答）_________________________________________________3、He has a healthy diet.（改为否定句）_________________________________________________4、you, for ,a lunch, want, vegetables, to , do, have, lot, of (?)连词成句__________________________________________________________Unit 4选出与所给单词画线部分发音相同的一项（）1、make A, bag B, safe C, class（）2、for A, floor B, actor C, doctor（）3、summer A, use B, sun C, usually（）4、watch A, who B, what C, whole（）5、mean A, meat B, great C, bread单选题（）1、The room is _____. You can go in.]A, safely B, safe C, safety（）2、We should _____ the cars and bikes in the street.A, look for B, wait for C, look out for（）3、How do you _____ the post office?A, go B, get C, get to（）4、People drive on the ______ side of the road.A, let B, right C, back（）5、How ca we ____ the road ____?A, go, safely B, cross, safety C, cross, safely（）6、In the UK, people usually drive on the ____ side of the road. A, right B, left C, left and right（）7、Here’s the green man. We _____ cross the road.A, can B, must C, should（）8、My sister ______ dance well.A, must B, can’t C, mustn’t（）9、Can I ____ the food ______ the supermarket?A, take, into B, take , in C, take , for用所给词的适当形式填空1、We _______(not watch) TV Monday.2、3、Nick _______(not go) to the zoo on Sunday.4、He often ______(have) dinner at home.5、What _____ they often _____ (do) on Saturday?6、______ your parents ______ (read) newspaper every day?7、She and I _____ (take) a walk together every evening.8、They ______( have) the same hobby.9、There _____（be）some water in the bottle.10、11、_______ they _____(like) the World Cup?按要求改写句子1、2、We must play here （改为否定句）__________________________________3、4、Mike can play basketball. （改为一般疑问句）__________________________________5、6、We mustn't play ball games on the road. （对划线部分提问）_____________________________________7、8、The bus stops because the light is red. （对画线部分提问）______________________________________。

练习题二一、用所给单词的正确形式填空1.What is the ＿＿＿＿ (arrive) time of MU586?2.My mother ＿＿＿＿ (cook) a nice food last Spring Festival.3.The children＿＿＿＿(water) the flowers and＿＿＿＿(collect) eggs on the farm three days.4.I ＿＿＿＿ (find) my ruler in my desk five minutes ago.5.Shanghai is one of the most modern ＿＿＿＿ (city) in the world.6.I have ＿＿＿＿ (many) books than you.7.In Shanghai there are a lot of tall＿＿＿＿ (build).二、选择最恰当的答案1.He comes from＿＿＿＿ Asian country and ＿＿＿＿ Asian country is far away from ours.A. a; aB. a; theC. an; theD. the; an2.There are over＿＿＿＿ people at the square, waiting for the New Year to come.A. three thousandB. three thousandsC. thousands ofD. three thousand of3.It ＿＿＿＿ the workers about half a year＿＿＿＿ the bridge.A. spent; to buildB. spent; in buildingC. took; to buildD. took; in building4.-＿＿＿＿ country is to the east of China?-Japan is.A. WhatB.How manyC. WhichD. Where5.-Does Tim stay at home or go out to play at weekends?-＿＿＿＿ .A. Yes, he does.B. He stays at home.C. Yes, he stays at home.D. No, he doesn ’tstay at home.6.Do you like travelling to＿＿＿＿ by air?A. other placeB. other placesC. others placeD. others places7.-How long will you stay in Beijing this summer holiday?-＿＿＿＿three weeks.A. InB. ForC. AtD. On8.My father is leaving for Guilin＿＿＿＿ March 8.A. inB. atC. ofD. on三、根据所给要求，改写下列句子。

6B复习题——语法选择题(答案)1.I’d like some cartoons at home this weekend.（A）A.watchB.watchingC.watched （would like to do sth.）2. The students were at an exhibition about smart robots.A./B.anC.the3. There are over 24 people in Shanghai. （D）(millions of千百万的)A. millions ofB. million ofC. millionsD. million4. ---Let’s go to the cinema this afternoon, shall we?--- I like watching films. (A)A.Yes, let’s.B. No, let’s not.C. That all right.5. ---I am going to Los Angeles to see Aunt Judy and Uncle Mike.--- . （A）A.Have a nice tripB. Have a good timeC. That’s all right.6. Which of the following is true for the underlined part of “tourist”? (英/ / 美/ /)A. / /B. / /C. / / (A)7. They’ll go to have a picnic next Sunday. (this/that/last/next+时间名词时，前面不加介词，today,tomorrow,yesterday, the day before yesterday也不加)A. inB. onC./ (C)8. Which of the following underlined parts is different in pronunciation from the others?A.reportB.healthC.severalD.bread （答案A发/i/;其他发/e/）9. Young children to do a lot of homework every day. (A)A.don’t haveB.haven’tC.not haveD.doesn’t have( 注：have to 的否定形式为don’t have to)10. you down Aunt Kate’s telephone number yet? (C)A.Do;writeB.Did;writeC.Have;writtenD.Will;write(注意结尾yet,一般要用现在完成时，表现已经或者仍然)11. ---Have you ever been to Hong Kong?---Yes, I there last July. (C)A.goB.wentC.have beenD.have gone12. ---Could you help me with this heavy suitcase, Joe?--- , madam.(答案C;语气更客气)A.That’s rightB. All rightC. Of course.13.Miss Gao gave me (D)A.aB.anC.a few（注：1、advice 是不可数名词，2、advice“on”）14.Chinese football team has trained had. , it’(C)A.ButB.AndC.HoweverD.So（Howeve副词，后面加逗号；but是连词，不加逗号）15.My mum’s job is a football game between English and Switzerland(瑞士)last night. (B)A.look afterB.to look afterC.care forD.take care of （不能两个动词在一起：to look after介词短语作表语，或者looking after 动名词短语作表语）16.Qu Yuan many nice poems (诗) in his life. (C)A.writesB.writeC.wroteD.will write17.Bangkok is of Beijing. （south-west）A.wast-southB. in the south-westC. south-westD. in the west-south(原形是to the south-west ，to the 可省略)18.--- How many people are there in Shanghai?--- There are more than people in Shanghai. (23 million)A.23 millionsB.23 millionC.23 millions ofD.23 million of(3 million people 3百万人；millions of people千百万的人们)19.It’s so hot outside. I would rather at home. (stay)A.stayB.to stayC.stayingD.stays(①注意区别：would rather do sth.与。

上海民办新竹园中学2018学年第一学期数学学科六年级期中考试卷（考试时间90分钟满分100分）一、填空题（每空2分）1、240有个因素。

【答案】：20【解析】：114532532222240++=⨯⨯⨯⨯⨯=，因数()()()20111114=+⨯+⨯+2、=÷457456456456【答案】：458457【解析】：457456456456÷=）（1457456457456+⨯⨯=4584573、将5985分解素因素【答案】:1335335985⨯⨯⨯=4、已知313111÷=÷=÷c b a ，且c b a 、、都是正数，那么把c b a 、、三个数按从大到小的顺序排列是：【答案】：ca b >>【解析】：c a a b 3,34==5、在100以内（含100）的正整数中，素数的个数是合数的个数的（填几分之几）【答案】：7425【解析】：1既不是素数也不是合数，素数25个，合74个，74257425=÷6、甲、乙、丙三个数的和是102，甲数比乙数大24，乙数比丙数大12，则这三个数的最大公因数为最小公倍数为【答案】：6,504【解析】：设丙为x ，则乙为12+x ，甲为36+x ，所以1023612=++++x x x ，18=x ，甲为54，乙为30，丙为18，最大公因数6，最小公倍数5407、一个四位数，千位上的数字既不是素数也不是合数，百位上的数字是最小的合数，十位上的数字既是素数又是偶数，个位上的数字是最小的正整数，那么这个四位数是【答案】：1421【解析】：既不是素数也不是合数的数是1，最小的合数是4，既是素数又是偶数是2，最小的正整数是18、一个假分数的分子是25，化成带分数后整数部分是4，则这个假分数是【答案】：6259、用1、2、3、4、5、6这6个数，共可以组成分数值不等的真分数的个数是个.【答案】：11【解析】：分子为1时有5个，分子为2时有2个，分子为3时有2个，分子为4时有1个，分子为5时有1个，共11个10、在“12898534753692349217227，，，，，”中，能化为有限小数的分数有个.【答案】：4【解析】：首先要把分数化为最简分数，如果分母中除了2和5以外，能不能含有其它的质因数，则能化为有限小数，则有128985347537227，，，11.已知甲数是乙数的97，那么甲数比乙数少______,乙数比甲数多______.【答案】；977212..____,7532,的最小值求为正整数，且设b a b a b a +<<【答案】1713.有一串分数，...,44434241333231222111；；；；；；；；；；问:第116个分数是______.【答案】1511二、选择题（每题2分，共10分）14.是不同素数，则、、、乙数若甲数d c b a d c a c b a ,,⨯⨯=⨯⨯=这两个数的最大公因数是（）ca ⨯】【A dc ⨯⨯a B 】【d b ⨯】【C d c b a ⨯⨯⨯】【D 【答案】A 15.，，，，，，分别是有八个数，其中六个数0.51322513472495150...如果从小到大的顺序排列，第三个是0.51，那么从大到小排序，第四个数是（）4724A 】【2513B 】【...15.0C 】【】无法确定【D 【答案】A 16.与0.36最接近的分数是（）31A 】【114B 】【207C 】【4013D 】【【答案】B 17.下列说法正确的是（）（1）最简分数的分子分母没有公因数（2）一个分数，分子扩大4倍，分母缩小一半，这个分数就扩大2倍（3）凡是分母中只含有素因数2、5的分数才能化为有限小数（4）做同一个零件，王师傅3小时做22个，李师傅4小时35分做33个，张师傅90分钟做13个，则张师傅的效率高A 】【1B 】【2C 】【3D 】【【答案】B 18.以下说法中正确的是：（）①所有的假分数都是可以化成带分数的②分子是9的最简假分数共有5个③任何不等于0的数的倒数都大于这个数④乘积是1的两个数互为倒数⑤如果一个循环小数a 的循环节是"204"，则a 10的循环节就是"042"⑥一个分数的分子增加了2倍，分母缩小为原来的31，则分数值增加到原来的6倍】【A 、0个】【B 、1个】【C 、3个】【D 、4个【答案】B 二、解答题19，计算：6525113215.2324÷⎥⎦⎤⎢⎣⎡⨯⎪⎭⎫ ⎝⎛-+【答案】2【解析】原式1761324⨯⎥⎦⎤⎢⎣⎡+=2176317=⨯=20，7414121731921107414331⨯-⨯+⨯【答案】2441【解析】原式24412122173197412110=⨯=⎪⎭⎫ ⎝⎛+⨯=21，⎪⎭⎫⎝⎛--⨯+÷1413116165.161420784【答案】750【解析】原式()750100141165.1635.84141=⨯=-+⨯=22.⎥⎦⎤⎢⎣⎡⎪⎭⎫ ⎝⎛+⨯+⎪⎭⎫⎝⎛⨯+÷⨯21193211.75-5.55336.153.6-1854.8541【答案】10解：原式=⎪⎭⎫⎝⎛⨯+⎪⎭⎫⎝⎛⨯+⨯⨯71847-5.551820123518-518209741=⎪⎭⎫⎝⎛-+⎥⎦⎤⎢⎣⎡⎪⎭⎫⎝⎛+⨯⨯295.5201231-209751841=13641+⨯=10⎪⎭⎫⎝⎛⨯÷+÷⨯⨯+⨯72153-152632295531-20745385214.35 23.【答案】6171解：原式=⎪⎭⎫⎝⎛⨯÷+⨯⨯⨯+⨯7953-1532839558-2087543572087=2831-2143+=6171四、简答题（共24分）24、（4分+4分）用短除法求下列每组数的最大公因数和最小公倍数（1）442646（2）432240126（1）【答案】：最大公因数：34（2）【答案】：最大公因数：6最小公倍数：8398最小公倍数：1512025、（4分+4分）#、∆表示一种新运算，规定他们的含义是：1-+=∆ab b a b a ；()223b a#-+⎪⎭⎫ ⎝⎛-=b a 。

难题、重点题、易错题Unit 1选出画线部分读音不同的一项（）1、A, mouse B, cousin C, loudly D, house（）2、A, strong B, go C, open D, close（）3、A, sadly B, happily C, bad D, wake（）4、A, weak B, reach C, sweater D, please（）5、A, sharp B, large C, scarf D, warm单选题（）1、Look! They’re ________.A, sitting quiet B, sit quietly C, sitting quietly（）2、This baby is my cousin. Don’t wake _______.A, up him B, him up C, he up（）3、The lion laughed ______.A, loudily B, loudly C, loudy（）4、Look! They’re playing games ______.A, sad B, happy C, happily（）5、Let's cheer ______ together.A, for them B, to them C, with them（）6、The boy is very ______.A, excited B, excite C, happily（）7、Don’t pour the water ____ the bottle.A, in B, into C, on（）8、Nancy and Helen are not good ____ basketball.A, at B, in C, for（）9、Tom’s brother _____ his new football _____ his friends yesterday.A, give, to B, show, to C, showed, to（）10、He let the boy ______.A, going B, go C, went（）11、Here _____ the bus !A, come B, coming C, comes用所给单词的适当形式填空1、It’s time _______ （go）to the park.2、There are two ______（mouse）in the box.3、My sister ______ （not play）it yesterday afternoon.4、_______（they）classroom is very messy.5、We’re going to _______（brush）the shoes tomorrow.6、Miss Wang _______（buy）some flowers last Sunday.7、You ______ （should）throw rubbish anywhere.9、Butterflies are _______（beautiful）. They like ______（dance）______（beautiful）按要求改写句子1、The lion bit the net with his teeth.（改为一般疑问句）___________________________________________________2、The girl woke her mother up in the morning. （改为否定句）___________________________________________________3、The cat caught the mouse just now. （对划线部分提问）___________________________________________________4、Two men caught the lion with a large net.（对画线部分提问）___________________________________________________Unit 2选出画线部分读音不同的一项（）1、A, box B, horse C, doctor D, short（）2、A, day B, play C, Monday D, say（）3、A, healthy B, meat C, reach D, season（）4、A, diet B, little C, time D, find（）5、A, hear B, year C, near D, early（）6、A, tooth B, food C, noodles D, football单选题（）1、Helen is ill. Let’s go and see_____.A, her B, she C, him D, them（）2、You should ______ your books _____.A, put, order B, put, in order C, put, on order D, puts, in order（）3、Bob often _______ in the morning.A, brushes his teeth B, brushes her teeth C, brushes his tooth D, brush his teeth （）4、There is _____ egg for you. ______ egg is for you.A, the, An B, an, An C, an, The（）5、______ beautiful the flowers are!A, How B, What C, How a（）6、I will go to Beijing _____ my parents.A, on B, for C, with（）7、The book is very ______. I’m _____ in it.A, interested, interested B, interesting, interested C, interesting, interesting （）8、My mother was angry _____ me yesterday.A, on B, with C, for（）9、He______ three pictures yesterday.A, draw B, draws C, drew（）10、We should turn _____ the light when we leave the room.A, on B, in C, off（）11、The White House is in _______.A, France B, China C, the US用所给词的适当形式填空1、Look! This is _____（we）new school.2、That new schoolbag is ______ （Tina）.3、You should _______（listen）to the teachers in class4、I feel very ______（sleep）now.5、I’m _______（sleep）now. I want to go to bed.6、He can _____（play）table tennis ______（good）.7、Sam _____（wash）his shoes last week.8、My sister _____（have）some good habits.按要求改写句子1、I did my homework after dinner last night.（改为一般疑问句）______________________________________________________2、She gets up early every day.（改为否定句）______________________________________________________3、We go to school early. （改为同义句）We don’t go to school _______.4、He often takes a bus home.（改为同义句）He often _______ home ______ bus.Unit 3选出画线部分读音不同的一项（）1、A, food B, zoo C, look D, school（）2、A, about B, mouth C, should D, loudly（）3、A, visitor B, short C, horse D, for（）4、A, pig B, like C, him D, fish（）5、A, dear B, hear C, eat D, near单选题（）1、Sam _____fruit.A, doesn’t like eating B, doesn’t kikes eating C, doesn’t like eat （）2、There’s _____ water in the glass.A, a lot B, a few C, a little（）3、There is _____ food in the fridge.A, many B, a lot C, much（）4、It’s late. You ______ home now.A, have to going B, have to go C, have go（）5、Do you want _____ this afternoon?A, to coming B, come C, to come（）6、Can I have ______ cola?A, any B, some C, a（）7、The bag is ______ for the little boy.A, too heavy B, to heavy C, heavy too（）8、Milk is good _____ my bodyA, for B, to C, at（）9、Look! They’re ________A, Chinese peoples B, Chinese people C, China people（）10、_____ a healthy diet, there is a lot of fruit and vegetables.A, In B, To C, On用所给单词的适当形式填空1、Nancy always _____ （put）her things in order.2、The lion _____ （bite）the net with his sharp teeth,but that did not help.3、The boy wears a yellow coat. We can see him _____（easy）.4、Vegetables are _____ （health）for us.5、I want _____（drink）some tea.6、Let ____（I）play the game first.7、There _____（be）some fruit and a lot if vegetables on the table.8、Can your little brother use the knife ______（safe）?按要求改写句子1、I have some dumplings for breakfast.（对画线部分提问）_________________________________________________2、There are some ducks in the basket.（改为一般疑问句并做否定回答）_________________________________________________3、He has a healthy diet.（改为否定句）_________________________________________________4、you, for ,a lunch, want, vegetables, to , do, have, lot, of (?)连词成句__________________________________________________________Unit 4选出与所给单词画线部分发音相同的一项（）1、make A, bag B, safe C, class（）2、for A, floor B, actor C, doctor（）3、summer A, use B, sun C, usually（）4、watch A, who B, what C, whole（）5、mean A, meat B, great C, bread单选题（）1、The room is _____. You can go in.]A, safely B, safe C, safety（）2、We should _____ the cars and bikes in the street.A, look for B, wait for C, look out for（）3、How do you _____ the post office?A, go B, get C, get to（）4、People drive on the ______ side of the road.A, let B, right C, back（）5、How ca we ____ the road ____?A, go, safely B, cross, safety C, cross, safely（）6、In the UK, people usually drive on the ____ side of the road. A, right B, left C, left and right（）7、Here’s the green man. We _____ cross the road.A, can B, must C, should（）8、My sister ______ dance well.A, must B, can’t C, mustn’t（）9、Can I ____ the food ______ the supermarket?A, take, into B, take , in C, take , for用所给词的适当形式填空1、We _______(not watch) TV Monday.2、Nick _______(not go) to the zoo on Sunday.3、He often ______(have) dinner at home.4、What _____ they often _____ (do) on Saturday?5、______ your parents ______ (read) newspaper every day?6、She and I _____ (take) a walk together every evening.7、They ______( have) the same hobby.8、There _____（be）some water in the bottle.9、_______ they _____(like) the World Cup?按要求改写句子1、We must play here （改为否定句）__________________________________2、Mike can play basketball. （改为一般疑问句）__________________________________3、We mustn't play ball games on the road. （对划线部分提问）_____________________________________4、The bus stops because the light is red. （对画线部分提问）______________________________________。

6B复习题—首字母与介词（答案）1.The king lived in a huge p . (宫殿)(palace)2.T to different cities is my dream. (T raveling) (动名词短语作主语)3.Please help me c my heavy bags, Danny. (to carry)4.Lucy has lived in London 2 years. ( for)5.Lingling’s mother is going a business trip to Guangzhou next week. (on)6. A person who travels abroad must carry a p . (passport)7.I have been to Yunnan s times. It is a very beautiful place. (several)8.Please tell me you’re a, and I will send the book to you. (address)9.Let’s share the room each other. （介词）（with）(share sth. with sb.)10.Here are some pictures our school.(介词) （of）（…的照片）11.My best friend s me a postcard from America last month. (sent)(时态)12.The students like playing basketball the playground.(介词)(in)13.Our teacher asked us to collect some i about the great cities in Asia.(information) (不可数a piece of information 一条信息)14.Everyone was nervous （紧张的）when they were watching the dragon boat r(race)15.The teacher g some advice to Mark about learning maths yesterday. (gave)16.Children like making s in winter. (snowmen)17.We should wear suitable clothes according to the c of weather. (condition)18.Mr Li is wearing black trousers with a black b . (belt)19.That road is covered with golden l . It’s very beautiful. (light)20.This pair of trousers is a little loose. I need to wear a b . (belt)21.Mary’s home is two k away from her school. (kilometers)22.More and more f will be built in our city. (flyovers)23.Work hard from now on and you will have a great f . (future)24.Do you a with me about the need for more schools? (agree)25.Ben turned a as he heard a noise behind him. (around)(turn around 固定词组转过身)26. Jack turned on the torch(手电筒) to his keys.(look for)27. The t j is one of the most serious problems in most big city.(traffic jam)28. Every day my mother me my school. (drives to；collects , from)Every day my mother me my school by car. (takes to)29.My mom is cleaning the floor because a piece of cake fell the floor. (介词)（onto）30. Nobody in the street saw clearly how the accident h . （happend）30.After the heavy snow, white snow c all the buildings. (covers)31.Don’t forget to prepare the new lesson tomorrow’s class. (介词)(about)。

期中必刷解答题35道一、解答题1．计算：(1)(6)4(18)(6)-⨯--÷-；(2)62212(8)(3)5⎡⎤-+⨯⨯---⎣⎦．【答案】(1)-27(2)-11【解析】【分析】（1）原式先乘除，再减法即可求出值；（2）原式先乘方，再计算括号中的乘法及减法，最后算括号外的乘法及加法即可求出值．(1)解：原式64186=-⨯-÷243=--27=-；(2)原式21(169)5=-+⨯--21(25)5=-+⨯-1(10)=-+-【点睛】此题考查了有理数的混合运算，熟练掌握运算法则是解本题的关键．2．计算：(1)()()2324+-⨯--；(2)()()432121130.5233⎡⎤⎛⎫---÷--- ⎪⎢⎥⎝⎭⎣⎦．【答案】(1)0(2)107【解析】【分析】（1）先计算乘法，再计算加减法；（2）先计算乘方，及小括号和绝对值，再计算中括号，除法及减法即可．(1)解：原式264=-+0=；(2)解：原式111127643⎡⎤⎛⎫=+÷--- ⎪⎢⎥⎝⎭⎣⎦11127612⎡⎤⎛⎫=+÷-- ⎪⎢⎥⎝⎭⎣⎦11274⎛⎫=+÷- ⎪⎝⎭107=-．【点睛】本题主要考查了含乘方的有理数的混合运算，熟练掌握有理数的混合运算法则是解题的的关键．3．计算题(1)234-⨯--(2)2213(8)(6)2⎛⎫-+-⨯-+- ⎪⎝⎭(3)37711148127⎛⎫⎛⎫--⨯- ⎪⎝⎭⎝⎭(4)128(6)3167⎡⎤⎛⎫÷---+⨯- ⎪⎢⎥⎝⎭⎣⎦【答案】(1)-10(2)31(3)13-(4)2【解析】【分析】①先算乘法和去绝对值，然后计算减法即可；②先算乘方，然后算乘法、最后算加法即可；③根据乘法分配律计算即可；④先算括号内的式子，然后算括号外的除法、最后算减法．(1)解：原式6410=--=-；(2)解：原式943631=-++=；(3)解：原式777848127⎛⎫⎛⎫=--⨯- ⎪ ⎪⎝⎭⎝⎭7878784787127⎛⎫⎛⎫⎛⎫=⨯--⨯--⨯- ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭2213=-++13=-；(4)解：原式4723367⎡⎤⎛⎫=---+⨯- ⎪⎢⎥⎝⎭⎣⎦41333⎡⎤=----⎢⎥⎣⎦41333=-++2=．【点睛】本题考查有理数的混合运算，解答本题的关键是明确有理数混合运算的运算法则和运算顺序．4．粮库3天内发生粮食进出库的吨数如下：（“+”表示进库“﹣”表示出库）+26、﹣32、﹣15、+34、﹣38、﹣20(1)经过这3天，库里的粮食是增多还是减少了？(2)经过这3天，仓库管理员结算发现库里还存480吨粮，那么3天前库里存粮多少吨？(3)如果进出的装御费都是每吨5元，那么这3天要付多少装卸费？【答案】(1)减少了(2)525吨(3)825元【解析】【分析】（1）将3天内粮食进出库的吨数相加，计算出结果即可得出答案；（2）用剩余存粮加上减少的粮食即可；（3）计算这3天装卸的总吨数，再乘以装卸费的单价即可．(1)解：26＋（−32）＋（−15）＋34＋（−38）＋（−20）＝−45（吨），答：库里的粮食减少了；(2)解：480＋45＝525（吨），答：3天前库里存粮525吨；(3)解：（26＋32＋15＋34＋38＋20）×5＝825（元），答：3天要付装卸费825元．【点睛】此题主要考查有理数的加减在实际生活中的应用，掌握有理数加减运算的法则是解题的关键．5．某铁矿码头将运进铁矿石记为正，运出铁矿石记为负，某天的记录如下（单位；吨）80-100+160+200-80+160-(1)当天铁矿石库存是增加了还是减小了，增加或减少了多少吨?(2)码头用载重量为20吨的大卡车运送铁矿石．①这天用了_______辆大卡车；②每车矿石运费100元，问这一天共需运费_______元．(3)当天管理员结算时发现铁矿石库存里还存360吨，那么原来仓库里存有多少吨铁矿石?【答案】(1)减少了，减少100吨(2)①39；②3900(3)460吨【解析】【分析】（1）将运进和运出的数量相加，和为正是增加了，和为负是减少了从而可得答案；（2）先求出大卡车运送铁矿石的总重量，再除以20即可得到载重量为20吨的大卡车的数量，再乘以100即可得到运费；（3）用库存的数量加上今天减少的数量即可得到结果．(1)根据题意运进铁矿石记为正，运出铁矿石记为负，则（-80）+（+100）+（+160）+（-200）+（+80）+（-160）=-100，即当天铁矿石库存减少了100t ；(2)①大卡车运送铁矿石的总重量为：|-80|+|+100|+|+160|+|-200|+|+80|+|-160|=780（吨）若用载重量为20t 的大卡车运送铁矿石，则所需要运送的次数为780÷20=39（辆）故答案为：39；②由于每次运费100元，故这一天共需运费为：39×100=3900（元）故答案为：3900．(3)360+100=460（吨）所以，原来仓库里存有460吨铁矿石【点睛】本题考查了正数和负数，解题关键是理解“正”和“负”的相对性，明确什么是一对具有相反意义的量，同时还考查了有理数的混合运算．6．把下列各数分别填在相应的方框里：2021-，3.5， 1.2+，0，56，113-，102， 3.14-，18%，2.7 整数负分数非负数【答案】见解析【解析】【分析】根据整数、负分数和非负数的意义填写表格即可．【详解】整数负分数非负数2021-，0，102，113-， 3.14-， 3.5，1.2+，0，56，102，18%，2.7 【点睛】本题考查有理数的分类．掌握整数、负分数和非负数的意义是解题关键．7．在数轴上表示a 、0、1、b 四个数的点如图所示，已知OA ＝OB ，求|a ＋b |＋|a b|＋|a ＋1|＋a 的值．【答案】0【解析】【分析】由已知条件和数轴可知：101b a >>>->，再由这个确定所求绝对值中的正负值就可求出此题．【详解】解：由已知条件和数轴可知：101b a >>>->，OA OB= ∴10110a a b a a a a b+++++=+--+=，1a a b a a b ∴+++++的值为0．【点睛】本题主要考查了数轴和绝对值的定义，即正数的绝对值是它本身，负数的绝对值是它的相反数，0的绝对值还是0，数轴左边的为负数，右边的为正数，解题的关键是根据数轴判断a ，b 的大小．8．已知下列各有理数： 2.5-，0，3-，()2--，12，1-…(1)画出数轴，在数轴上标出这些数表示的点；(2)用“<”号把这些数连接起来．【答案】(1)见解析；(2)()12.510232-<-<<<--<-【解析】【分析】（1）在数轴上直接表示出各数即可；（2）根据（1）中数轴上表示的数，结合数轴右边的数比左边的数大即可比较．(1)解：()22--= ，33-=，∴在数轴上标出 2.5-，0，3-，()2--，12，1-，如图所示：(2)解：由（1）中数轴可知()12.510232-<-<<<--<-．【点睛】本题考查了在数轴上表示数和有理数大小的比较，在求解过程中还涉及到绝对值、相反数等知识点．能准确地在数轴上表示出所给的各个数是解决问题的关键．9．若|3|6x +=，|4|2y -=，且||||0x y -≥，求||x y -的值．【答案】1，11，15【解析】【分析】由绝对值的性质对x 、y 的取值分类讨论再计算即可．【详解】由|3|6x +=可知若x +3＞0，则有x +3=6，解得x =3，||x =3若x +3＜0，则有-3-x =6，解得x =-9，||x =9由|4|2y -=可知若y -4＞0，则有y -4=2，解得y =6，||y =6若y -4＜0，则有4-y =2，解得y =2，||y =2∵||||0x y -≥∴当||x =3时，||y =2满足条件则|||32|1x y -=-=当||x =9时，||y =6满足条件则|||96||15|15x y -=--=-=当||x =9时，||y =2满足条件则|||92||11|11x y -=--=-=综上所述||x y -的值为1，11，15【点睛】本题考查了绝对值方程，解决可化为一元一次方程的绝对值方程，其最基本的套路是：将方程中的绝对值符号去掉，转化为括号即可，括号里面的代数式，由绝对值里面代数式的符号确定：如果原代数式为正，去掉绝对值后，其结果为本身；如果原代数式为负，去掉绝对值后，其结果为相反数．10．数轴上从左到右的三个点A ，B ，C 所对应的数分别为,,a b c ．其中AB =2020，BC =1000，如图所示．（1）若以B 为原点，写出点A ，C 所对应的数，并计算a b c ++的值．（2）若原点O 在A ，B 两点之间，求a b b c ++-的值．（3）若O 是原点，且OB =20，求a b c +-的值．【答案】（1）−1020；（2）3020；（3）−3000或−3040【解析】【分析】（1）数轴上原点左侧的数为负数，原点右侧的数为正数，可表示出A、C所对应的数；（2）原点O在A，B两点之间，|a|＋|b|＝AB，|b−c|＝BC，进而求出结果；（3）若原点O在点B的左边；若原点O在点B的左边；分两种情况讨论可求a＋b−c的值．【详解】解：（1）∵点B为原点，AB＝2020，BC＝1000，∴点A表示的数为a＝−2020，点C表示的数是c＝1000，∴a＋b＋c＝−2020＋0＋1000＝−1020；（2）∵原点在A，B两点之间，∴|a|＋|b|＋|b−c|＝AB＋BC＝2020＋1000＝3020．答：|a|＋|b|＋|b−c|的值为3020；（3）若原点O在点B的左边，则点A，B，C所对应数分别是a＝−2000，b＝20，c＝1020，则a＋b−c＝−2000＋17−1017＝−3000；若原点O在点B的右边，则点A，B，C所对应数分别是a＝−2040，b＝−20，c＝980，则a＋b−c＝−2040−20−980＝−3040，+-的值为：−3000或−3040．∴a b c【点睛】本题考查了数轴与绝对值的意义，理解绝对值的意义是解决问题的前提，用数轴表示则更容易解决问题．11．如图，已知a 、b 、c 在数轴上的位置．（1）a +b 0，abc 0，a c 0．填（“＞”或“＜”）（2）如果a 、c 互为相反数，求ac ＝．（3）化简：|b +c |﹣2|a ﹣b |﹣|b ﹣c |．【答案】（1）＜，＜，＜；（2）﹣1；（3）2a ．【解析】【分析】（1）根据a 、b 、c 在数轴上的位置即可求解；（2）根据相反数的定义即可求解；（3）结合数轴，根据绝对值性质去绝对值符号，再合并即可求解．【详解】解：由数轴可知，0a b c <<<，||||a b >，则（1）0a b +<，0abc <，0ac <．故答案为：<，<，<；（2）a 、c 互为相反数，∴1ac =-．故答案为：1-；（3）||2||||b c a b b c +----2()()b c a b b c =++-+-22b c a b b c=++-+-2a =．【点睛】本题主要考查数轴、绝对值的性质、整式的加减，解题的关键是根据数轴和题目条件判断出a 、b 、c 的大小关系．12．阅读下面的材料：我们知道，在数轴上，||a 表示有理数a 对应的点到原点的距离，同样的道理，|2|a -表示有理数a 对应的点到有理数2对应的点的距离，例如，|52|3-=，表示数轴上有理数5对应的点到有理数2对应的点的距离是3．请根据上面的材料解答下列问题：(1)数轴上有理数9-对应的点到有理数3对应的点的距离是_______；(2)|5|-a 表示有理数a 对应的点与有理数_______对应的点的距离；如果|5|2-=a ，那么有理数a 的值是_______；(3)如果|1||6|7-+-=a a ，那么有理数a 的值是_______．(4)代数式|1||6|-+-a a 的最小值是_________，此时有理数a 可取的整数值有______个．【答案】(1)12；(2)5，3或7；(3)0或7；(4)5，6．【解析】【分析】（1）根据题意可知，数轴上有理数9-对应的点到有理数3对应的点的距离是|93|--，计算即可；（2）根据题意进行解题即可；（3）式子代表的a 对应的点到1的距离与到6的距离的和为7，找到对应的点即可；（4）代数式|1||6|-+-a a 的最小值在数轴上1与6之间，最小值为5，符合条件的值有6个．(1)解：由题意得，|93|--=12，故答案为：12．(2)|5|-a 表示有理数a 对应的点与有理数5对应的点的距离；|5|2-=a ，表示到5所对应的点距离为2的点，即为：3或7．故答案为：5；3或7．(3)|1||6|7-+-=a a 表示：a 对应的点到1的距离与到6的距离的和为7，从数轴上观察得出a 的值为：0或7，故答案为：0或7．(4)代数式|1||6|-+-a a 表示的是a 对应的点到1的距离与到6的距离的和，最小值为1到6的距离，最小值为5，符合条件的整数值在1到6之间，共6个．故答案为：5，6．【点睛】本题主要考查的数材料阅读理解能力，考查知识点为绝对值的几何意义，灵活运用其几何意义是解题的关键．13．解方程：(1)()()565627x x -+=-+；(2)12225x xx ---=+．【答案】(1)1x =-(2)113x =【解析】【分析】（1）通过去括号，移项，合并同类项等步骤求解即可；（2）通过去分母，去括号，移项，合并同类项等步骤求解即可．(1)解：去括号，得：53051242x x -+=--；移项、合并同类项，得：1717x -=；两边同除以17-，得：1x =-．(2)解：去分母，得：()()10512022x x x --=+-；去括号，得：10552024x x x -+=+-；移项、合并同类项，得：311x =；两边同除以3，得：113x =．本题考查一元一次方程的解法，熟练掌握一元一次方程的解题步骤是解题的关键．14．解方程：0.30.20.020.14 0.50.033 x x-+-=-【答案】x＝4 41【解析】【分析】方程整理后，去分母，去括号，移项合并，把x系数化为1，即可求出解．【详解】解：方程整理得：322104 533x x-+-=-，去分母得：9x﹣6﹣10﹣50x＝﹣20，移项合并得：﹣41x＝﹣4，解得：x＝4 41【点睛】此题考查了解一元一次方程，熟练掌握运算法则是解本题的关键．15．某体育用品商店篮球的售价是80元/个，足球的售价是60元/个，小明从该商店花了600元，篮球和足球共购买了9个，求小明购买篮球和足球各多少个？【答案】小明购买篮球6个和足球3个．【解析】【分析】设小明购买篮球x个，则足球购买()9x-个，再利用总费用为600元列方程，再解方程即可.解：设小明购买篮球x 个，则足球购买()9x -个，则()60809600x x +-=20120x \-=-解得：6,x 则93,x -=答：小明购买篮球6个和足球3个.【点睛】本题考查的是一元一次方程的应用，理解题意，确定相等关系：“篮球与足球的费用之和为600”是解本题的关键.16．某超市出售一种商品，其原价为四元，现有三种调价方案：方案一，先提价10%，再降价10%；方案二，先提价20%，再降价20%；方案三，先降价20%，再提价20%．(1)用这三种方案调价，结果是否一样？(2)在方案三中，若先降价20%，要想恢复原价，需提价百分之几？（列方程解决）【答案】(1)用这三种方案调价，结果不一样；(2)需提价25%．【解析】【分析】（1）根据题意，可以写出三种方案下的售价，然后比较大小即可；（2）根据题意，可以列出相应的方程，然后求解即可．(1)由题意可得：方案一的售价为：a（1+10%）（1-10%）=0.99a（元），方案二的售价为：a（1+20%）（1-20%）=0.96a（元），方案三的售价为：a（1-20%）（1+20%）=0.96a（元），∵0.99a＞0.96a=0.96a，∴用这三种方案调价，结果不一样；(2)设要想恢复原价，需提价的百分比为x，a（1-20%）（1+x）=a，解得x=25%，答：要想恢复原价，需提价25%．【点睛】本题考查一元一次方程的应用、列代数式，解答本题的关键是明确题意，找出等量关系，列出相应的方程．17．列方程解应用题：甲、乙两人从A，B两地同时出发，甲骑自行车，乙骑摩托车，沿同一条路线相向．．匀速行驶．出发后经2小时两人相遇．已知在相遇时乙比甲多行了90千米，相遇后经0.5小时乙到达A地．求乙行驶的速度．【答案】60千米/小时【解析】【分析】根据经过2小时，乙比甲多行了90千米，可知乙每小时比甲快45千米，然后设出乙的速度，从而可以得到甲的速度，再根据相遇后经0.5小时乙到达A地，可以列出相应的方程，然后求解即可．【详解】解：∵经过2小时，乙比甲多行了90千米，∴乙每小时比甲快45千米，设乙的速度为x千米小时，则甲的速度为（x-45）千米/小时，由题意可得：0.5x=2（x-45），解得x＝60，答：乙行驶的速度为60千米/小时．【点睛】此题主要考查了一元一次方程的应用，关键是首先审清题意，找到等量关系，设出未知数，表示出乙的速度，列出方程．18．李明同学在解关于x的方程21133x x a-+=-，去分母时，方程右边的1-没有乘以3，因而求得方程的解为2x=，试求a的值．【答案】2【解析】【分析】先按此方法去分母，再将x=2代入方程，求得a的值．【详解】解：按此方法去分母，得2x-1=x+a-1，把x=2代入，得4-1=2+a-1，解得a=2．【点睛】本题主要考查的是一元一次方程的解，明确x=2是方程2x-1=x+a-1的解是解题的关键．19．甲、乙两家超市新年期间推出优惠活动，推出如表购物优惠方案：甲超市乙超市消费金额（元）优惠活动消费金额（元）优惠活动0～100（包含100）无优惠0～200（包含200）无优惠100～350（包含350）一律享受九折优惠超过200元的部分享受大于200八折优惠大于350一律享受八折优惠(1)小王需要购买价格为240元的商品，去哪家店更划算？(2)小李带了252元去购物、为了买到最多的商品，应选择哪家超市？最多能买到原价为多少元的商品？(3)小刘在甲超市购物、两次购物分别付了80元和288元，如果小刘把这两次购物改为一次性购物，付款多少元？【答案】(1)在甲超市更划算；(2)应选择甲超市，最多能买到原价为280元的商品；(3)把这两次购物改为一次性购物，付款320元或352元；【解析】【分析】（1）比较在甲、乙超市分别所需支付的金额即可；（2）求出252元在甲超市能购买的商品原价，再求出在乙超市购买的商品的原价，比较大小即可；（3）先计算出支付80元和288元的商品原价，再将两次商品原价加一起参加优惠活动即可；(1)解：甲超市购物所付的费用为：2400.9216⨯=（元），乙超市购物所付的费用为：2000.8(240200)232+⨯-=（元），∵216232<，∴在甲超市更划算；(2)解：甲超市购买的商品原价：2520.9280÷=（元），设乙超市超市购买的商品原价为x 元，由题意得：2000.8(200)252+-=x ，解得：265=x ，∵280＞265，∴应选择甲超市，最多能买到原价为280元的商品；(3)解：∵1000.990⨯=，∴第一次购买商品的原价小于100元，原价为80元，∵3500.9315⨯=，3500.8280⨯=，∴第二次购买商品的原价为100～350或大于350元，设第二次购买商品的原价为m 元，①当100350<≤m 时，由题意得：2880.9320=÷=m （元），()320800.8320+⨯=（元），∴把这两次购物改为一次性购物，付款320元；②当350m >时，由题意得：2880.8360=÷=m （元），(36080)0.8352+⨯=（元），∴把这两次购物改为一次性购物，付款352元；综上，把这两次购物改为一次性购物，应付款320元或352元．【点睛】本题考查一元一次方程的实际应用（方案选择），（1）（2）比较简单，（3）中因为280288315＜＜，故需要对288元的商品原价进行讨论．20．某校七年级学生准备观看电影《长津湖》，由各班班长负责买票，每班人数都多于40人，票价每张30元，一班班长问售票员买团体票是否可以优惠，售票员说：40人以上的团体票有两种优惠方案可选择：方案一：全体人员打8折；方案二：打9折，有5人可以免票．(1)若一班有()40a a >人，则方案一需付_________元钱，方案二需付_______元钱；（用含a 的代数式表示）(2)若二班有41名学生，则他选择哪个方案更优惠？(3)一班班长思考一会儿说，我们班无论选择哪种方案要付的钱是一样的，你知道一班有多少人吗？【答案】(1)24a ，(27135)-a (2)二班有41名学生，则他选择方案二更优惠(3)45人【解析】【分析】（1）根据两种不同的优惠方案解答；（2）分别计算出方案一和方案二的花费，然后比较大小即可解答本题；（3）设一班有x 人，根据已知得出两种方案费用一样，进而列出方程求解即可．(1)若一班有a （a ＞40）人，则方案一需付30a ×0.8=24a 元钱，方案二需付30（a -5）×0.9=(27135)-a 元钱．故答案是：24a ；(27135)-a ；(2)由题意，得方案一的花费为2441984⨯=（元），方案二的花费为2741135972⨯-=（元），因为984972>，所以若二班有41名学生，则他选择方案二更优惠．(3)根据（1），得2427135=-a a ．解得45a =．答：一班有45人．【点睛】本题主要考查了一元一次方程的应用，根据已知得出关于x 的方程是解题关键．21．如图，已知数轴上的点A 对应的数是a ，点B 对应的数是b ，满足()2510a b ++-=．(1)=a __________，b =__________．(2)直接写出数轴上到点A 、点B 距离相等的点C 对应的数__________．(3)动点P 从点A 出发，以2个单位/秒的速度向右运动，设运动时间为秒，问：是否存在某个时刻t ，恰好使得P 到点A 的距离是点P 到点B 的距离的2倍?若存在，请直接写出的值；若不存在，请说明理由．【答案】(1)5-；1(2)2-(3)2秒或6秒；理由见解析【解析】【分析】（1）由绝对值及偶次方的非负性可得出a 、b 的值；（2）设点C 对应的数为x ，则1BC x =-，5AC x =+，根据BC AC =即可得出关于x 的一元一次方程，解之即可得出结论；（3）假设存在，点P 对应的数为52t -+，结合点A 、B 对应的数即可找出PA 、PB ，再根据2PA PB =即可得出关于t 的含绝对值符号的一元一次方程，解之即可得出结论．(1)解：()2510a b ++-= ，5a ∴=-，1b =；(2)解：设点C 对应的数为x ，则1BC x =-，AC =5x +，BC AC = ，15x x ∴-=+，解得：2x =-，∴点C 对应的数为2-；(3)解：假设存在，点P 对应的数为52t -+，2PA t ∴=，52126PB t t =-+-=-，2PA PB = ，2226t t ∴=-，当2412t t =-时，6t =；当2124t t =-时，2t =．故存在某个时刻t ，恰好使得P 到点A 的距离是点P 到点B 的距离的2倍，此时t 的值为2秒或6秒．【点睛】本题考查了一元一次方程的应用以及绝对值和偶次方的非负性，根据数量关系列出一元一次方程是解题的关键．22．已知关于x 的方程()2212m x m ++-=的解比方程的5141x x -=+解大2，求m 的值．【答案】6【解析】【分析】先求得关于x 的方程5141x x -=+的解，依此可得关于x 的方程()2212m x m ++-=的解，然后代入可得关于m 的方程，通过解该方程求得m 值即可．【详解】解：5141x x -=+，移项得：5411x x -=+，合并得2x =，∵关于x 的方程()2212m x m ++-=的解比关于x 的方程5141x x -=+的解大2，∴关于x 的方程()2212m x m ++-=的解为4x =，∴()22412m m ++-=，∴2022m m -=+，解得6m =．【点睛】本题主要考查了一元一次方程的解和解一元一次方程，熟知解一元一次方程的方法是解题的关键．23．解下列不等式组：2132(2)x x x x >+⎧⎨≤+⎩，并把解集在数轴上表示出来．【答案】14x <≤，数轴见解析【解析】【分析】分别求出每一个不等式的解集，根据口诀：同大取大、同小取小、大小小大中间找、大大小小找不到确定不等式组的解集，然后将解集表示在数轴上．【详解】解：2132(2)x x x x >+⎧⎨≤+⎩①②解不等式①得：1x >，解不等式②得：4x ≤∴不等式组的解集为14x <≤将解集表示在数轴上，如图，【点睛】本题考查了解一元一次不等式组，在数轴上表示不等式的解集，正确的计算是解题的关键．24．解不等式组52331132x x x x -≤⎧⎪-+⎨<-⎪⎩，并把不等式组的解集在数轴上表示出来：【答案】31-<≤x ；见解析【解析】【分析】分别求出每一个不等式的解集，根据口诀：同大取大、同小取小、大小小大中间找、大大小小无解了，确定不等式组的解集．【详解】解：52331132x x x x -≤⎧⎪⎨-+<-⎪⎩①②由①得：1x ≤由②得：3x >-故不等式组的解集为：31-<≤x ．将不等式解集表示在数轴上如图：【点睛】本题考查了解一元一次不等式组，解一元一次不等式，在数轴上表示不等式组的解集的应用，解此题的关键是能根据不等式的解集求出不等式组的解集，难度适中．25．已知不等式()()325617x x -->+-的最大整数解是方程210x mx -=-的解，求m 的值．【答案】m =-12．【解析】【分析】解不等式求得它的解集，从而可以求得它的最大整数解，然后代入方程方程2x -mx =-10，从而可以得到m 的值．【详解】解：3（x -2）-5＞6（x +1）-7，去括号得：3x -6-5＞6x +6-7，移项合并得：-3x ＞10，∴x ＜-103，∴最大整数解为-4，把x =-4代入2x -mx =-10，得：-8+4m =-10，解得m=-1 2．【点睛】本题考查一元一次不等式的整数解、一元一次方程的解，解题的关键是明确一元一次不等式的解法和一元一次方程的解法．26．某医院准备派遣医护人员协助西安市抗击疫情，现有甲、乙两种型号的客车可供租用，已知每辆甲型客车的租金为280元，每辆乙型客车的租金为220元，若医院计划租用6辆客车，租车的总租金不超过1530元，那么最多租用甲型客车多少辆？【答案】3辆【解析】【分析】设租用甲型客车x辆，则租用乙型客车（6-x）辆，利用总租金=每辆甲型客车的租金×租用数量+每辆乙型客车的租金×租用数量，结合总租金不超过1530元，即可得出关于x的一元一次不等式，解之即可得出x的取值范围，再取其中的最大整数值即可得出结论．【详解】解：设租用甲型客车x辆，则租用乙型客车（6-x）辆，依题意得：280x+220（6-x）≤1530，解得：x≤7 2，又∵x为整数，∴x的最大值为3．答：最多租用甲型客车3辆．【点睛】本题考查了一元一次不等式的应用，根据各数量之间的关系，正确列出一元一次不等式是解题的关键．27．今年暑假，王老师计划带领学校若干名学生到贵阳研学，他联系了报价均为240元的甲、乙两家旅行社，经协商甲旅行社的优惠条件是：老师买一张全票，学生享受半价优惠；乙旅行社的优惠条件是：老师、学生都按六折优惠．设王老师带领x 名学生，甲旅行社的收费为1y 元，乙旅行社的收费为2y 元．(1)分别写出两家旅行社的收费1y （元）和2y （元）与学生人数x 之间的函数关系式；(2)当学生人数为多少时，选甲旅行社优惠？(3)当学生人数为多少时，选乙旅行社优惠？【答案】(1)1240120y x =+；2144144y x =+；(2)学生多于4人时，选甲旅行社优惠；(3)学生少于4人时，选乙旅行社优惠．【解析】【分析】（1）读题，找出题目中的等量关系式，甲旅行社的收费=老师的全价票+学生人数×半价；乙旅行社的收费=老师和学生人数的总和×单价×60%；（2）选择甲旅行社优惠即12y y ＜，列出不等式后求解集，根据实际意义写出正确的结果；（3）选择乙旅行社优惠即12y y ＞，列出不等式后求解集，根据实际意义写出正确的结果．(1)解：根据题意得：12402400.5240120y x x =+⨯=+；224060%(1)144144y x x =⨯+=+；答：两家旅行社的收费y 1（元）和y 2（元）与学生人数x 之间的函数关系式为：1240120y x =+；2144144y x =+．(2)解：当12y y ＜时，选择甲旅行社优惠，即240120x +＜144144x+解得：4x ＞，答：学生多于4人时，选择甲旅行社优惠．(3)解：当12y y ＞时，选择乙旅行社优惠，即240120x +＞144144x+解得：4＜x ，∵x ＞0，∴04＜＜x ，答：学生少于4人时，选择甲旅行社优惠．【点睛】本题主要考查了一元一次不等式的应用，解题的关键是能理解题意，根据题目中的不等关系式列出不等式．28．从杭州转塘高速收费口到千岛湖高速收费口开车需途经富阳高速口和桐庐高速口．各路段里程数如下表：路段转塘—富阳富阳—桐庐桐庐—千岛湖里程数（单位：km ）283884(1)若甲车上午10点整从转塘高速收费口出发，于上午10点21分整到达富阳高速口，设平均车速为1km /h v ．求1v 的值．(2)若乙车上午10点50分整从桐庐高速口出发，为了不早于上午11点35分但不晚于上午11点40分到达千岛湖高速收费口．设平均车速为2km/h v ，求2v 的最小值．【答案】(1)80(2)100.8【解析】【分析】（1）由速度=路程÷时间，即可求解；（2）由题意：若乙车上午10点50分整从桐庐高速口出发，为了不早于上午11点35分但不晚于上午11点40分到达千岛湖高速收费口，列出不等式，解不等式即可．(1)解：121288060v =÷=．(2)解：11点40分－10点50分＝50分＝5h 6，由题意，得25846v ≥，解得2100.8v ≥．所以2v 的最小值是100．8．【点睛】本题考查了不等式的应用，解题的关键是找出数量关系，正确列出不等式．29．看电影已经成为人们在春节假期生活的新热潮.2022年春节电影总票房持续走高，其中《长津湖》《四海》和《奇迹》三部电影七天票房总额达到37亿元.(1)若《四海》的票房比《奇迹》的票房少2亿，《长津湖》的票房比《奇迹》的票房的3倍多4亿，求电影《长津湖》的票房；(2)若电影院票价每张60元，学生实行半价优惠.某学校计划用不超过1500元组织老师和学生共40名去电影院观看《长津湖》，问:至少组织多少名学生观看电影?【答案】(1)25亿(2)至少需要组织30名学生观看电影【解析】【分析】（1）设《奇迹》的票房为x亿；则《四海》的票房为（x-2）亿；《长津湖》的票房为(3x+4)亿，列方程即可求解．（2）设学生人数为m，则老师人数为（40-m）人，列出不等式即可求解．(1)解：设《奇迹》的票房为x亿；则《四海》的票房为（x-2）亿；《长津湖》的票房为(3x+4)亿．由题意可得，x+x-2+3x+4＝37解得：x＝7所以《长津湖》的票房为3×7+4＝25亿(2)解：设学生人数为m人，则老师人数为（40-m）人．由题意可得，602m+60（40-m）≤1500解得：m≥30所以，至少需要组织30名学生观看电影．【点睛】本题主要考查一元一次方程的应用、一元一次不等式的应用，根据题意正确列出方程和不等式是解题的关键．30．按如图所示的程序进行运算，并回答问题：例如：开始输入x的值为3．运行第一次：3×2+1＝7．因为7＜9，所以需要运行第二次：7×2+1＝15．因为15＞9，则输出结果是15．(1)开始输入的值为4，那么输出的结果是．(2)要使开始输入的x值只经过一次运行就能输出结果，求x的取值范围．(3)要使开始输入的x值经过两次运行才能输出结果，求x的取值范围．【答案】(1)19(2)4x>(3)34 2x<≤【解析】【分析】（1）直接按程序进行计算即可；（2）由程序顺序可得关于x的不等式，解不等式即可；（3）由题意知，第一次按程序运算的结果不大于9，第二次按程序运算的结果大于9，从而可得关于x的不等式组，解不等式组即可．(1)当x=4时，4×2+1=9，9×2+1=19。