2018年中考西城区一模试卷
北京市西城区2018年初三一模试卷和答案
北京市西城区2018年九年级统一测试英语试卷 2018.4知识运用(共14分)---、单项填空(共6分,每小题0.5分)从下面各题所给的A、B、C、D四个选项中,选择可以填入空白处的最佳选项。
1. --- Jack, thank you for the flowers.--- It’s all right. I hope you like ________.A. theyB. themC. theirD. themselves2. --- What’s the weather like in Australia ________ July?--- It is winter there, so it’s a l ittle cold.A. inB. onC. atD. with3. The North Star is one of ________ stars in the night sky.A. brightB. brighterC. brightestD. the brightest4. I’d love to go to the theatre tonight, ________ I am too busy.A. soB. orC. butD. and5. We ________ a few museums while we were in London.A. visitB. visitedC. have visitedD. are visiting6. --- Shall we play tennis now?--- Sorry, I can’t. I ________ my homework.A. doB. didC. have doneD. am doing7. Mr. King ________ a lot about Chinese culture since he came to Beijing.A. has learntB. will learnC. learnsD. learnt8. --- ________ do you like better, carrots or potatoes?--- Carrots. They are good for my eyes.A. WhyB. WhichC. WhoD. Whose9. --- My grandma ________ looking at that photo on the wall.--- I can understand. It helps her remember her childhood.A. enjoysB. enjoyedC. was enjoyingD. will enjoy10. Mum ________ the window in the kitchen when I got home.A. cleansB. will cleanC. was cleaningD. is cleaning11. Some new airports ________ in the west of our country. It will be very convenient to go there.A. builtB. will buildC. were builtD. will be built12. --- I wonder ________. You are very early every day.--- Only 5 minutes’ walk.A. how far is it from your home to schoolB. how far it is from your home to schoolC. how far was it from your home to schoolD. how far it was from your home to school二、完形填空(共8分,每小题1分)阅读下面的短文,掌握其大意,然后从短文后各题所给的A、B、C、D四个选项中,选择最佳选项。
2018西城区初三一模试卷带答案
北京市西城区2018年初三一模试卷语文2018.4考生须知1.本试卷共8页,共四道大题,25道小题。
满分120分。
考试时间150分钟。
2.在试卷和答题卡相应的位置上准确填写学校、班级、姓名和学号。
3.试题答案一律填涂或书写在答题卡上,在试卷上作答无效。
4.在答题卡上,选择题用2B铅笔作答,其他试题用黑色字迹签字笔作答。
一、基础·运用<共24分)<一)选择题。
下面各题均有四个选项,其中只有一个符合题意,选出答案后在答题卡上用铅笔把对应题目的选项字母涂黑涂满。
<共14分。
每小题2分)o7QT0mKYUH1.下列词语中加点字读音完全正确的一项是A.脊梁<jǐ)鸟瞰<kàn)惬意<qiè)谆谆教诲<huǐ)B.倔强<juè)庇护<bì)相处<chǔ)言简意赅(gāi>C.揭露<lù)呜咽<yè)机械<jiè)惩恶扬善<chénɡ)o7QT0mKYUHD.模样<mú)游弋<yì)自诩<xǔ)水涨船高<zhǎng)2.下面句子中有错别字的一项是A. 各地的生态环境建设应该因地制宜,讲求实效,不能简单照搬他人经验。
B. 平整的操场,宽敞的教室,舒适的桌椅,这座乡村小学的面貌涣然一新。
C. 清明小长假让人们既能有时间缅怀祭祀先人,还能有闲情逸致踏青赏春。
D. 李老师希望受到表彰的同学不骄不躁,再接再厉,创造更加辉煌的成绩。
3.结合语境,在下列句子中的横线处填写词语正确的一项是①聪明人更要学会与周围的人合作,所谓,每个人都有自己的优势与劣势,再聪明的人也有需要别人帮助的时候,只有善于学习借鉴,才能让自己不断提高。
o7QT0mKYUH②继承和发展中国古代优秀的文化传统,没有一套固定的方式方法,可以从学生抓起,让他们接受传统文化教育;也可以从学者抓起,让他们做好传统文化研究与普及的工作,____________,最终都可以实现对传统文化的保护与传承。
2018年北京市西城区初三一模语文试卷及答案
北京市西城区2018年九年级统一测试语文试卷2018.4一、基础·运用(共16分)暮春时节,学校举办“春光作伴好读诗”系列活动。
九年级的同学开展了“美丽《诗经》”专题活动。
有同学查阅资料后,写出关于《诗经》的一段文字,请你参与完善,完成1-3题。
中国是一个爱诗的国度,中国人是一个爱诗的民族。
我们从祖先三千多年前留下来的《诗经》里,依然可以找到我们今天所渴望的生活的样子。
三千年前的《诗经》不曾离开过我们。
“青青子衿,悠悠我心。
但为君故,沉吟至今”,曹孟德在《短歌行》中对《诗经·郑风·子衿》的化用显得如此自然真切;“挥手自兹去,萧萧班马鸣”,李太白表达离愁别xù()的神来之笔,也语出《诗经·小雅·车攻》。
○1。
三千年前的《诗经》不曾离开过我们。
探讨研究学问,我们会说“如切如磋,如琢如磨”;赞美崇高品德,我们会说“高山仰止,景行行止”;表达思念之情,我们会说“一日不见,如三秋兮”。
○2。
三千年前的《诗经》不曾离开过我们。
“呦呦鹿鸣,食野之苹”,诺贝尔奖得主屠呦呦的名字yuán()自《诗经·小雅·鹿鸣》;“靡不有初,鲜克有终”,习主席在纪念中国人民抗日战争暨世界反法西斯战争胜利70周年大会上讲话的用典出自《诗经·大雅·荡》。
○3。
历经三千年沧桑岁月而沉淀下来,《诗经》无需唤醒,它一直在。
那些蕴藉.风流的句子,道尽我们无法言说的情愫,早已了我们的血脉,着我们的容貌,着我们的思想,让我们在《诗经》中追寻民族的文化基因,拥抱那最美的诗和远方。
1.文中括号内应填写的汉字和加点词的读音,全都正确的一项是(2分)A.离愁别(序)(缘)自蕴藉(jiè)B.离愁别(绪)(源)自蕴藉(jí)C. 离愁别(序)(缘)自蕴藉(jí)D. 离愁别(绪)(源)自蕴藉(jiè)2.为更加明确地表达文意,将下列各句放在文中横线处,恰当的一项是(2分)【甲】《诗经》,它本存在于我们的诗书传承中【乙】《诗经》,它本烙印在我们的家国文化里【丙】《诗经》,它本活跃在我们的日常生活中A.○1【甲】○2【乙】○3【丙】B.○1【甲】○2【丙】○3【乙】C.○1【丙】○2【甲】○3【乙】D.○1【乙】○2【甲】○3【丙】3.在文中最后一段的横线处依次填入词语,恰当的一项是(2分)A. 塑造淬炼融入B. 融入淬炼塑造C. 融入塑造淬炼D. 塑造融入淬炼4.传统楹联常引用《诗经》中的语句。
2018年北京市西城区中考英语一模试卷和参考答案
2018年北京市西城区中考英语一模试卷一、单项填空(共6分,每小题0.5分)从下面各题所给地A、B、C、D四个选项中,选择可以填入空白处地最佳选项.1.(0.5分)﹣Jack,thank you lor the flowers.﹣It's all right.I hope you like______.()A.they B.them C.their D.themselves2.(0.5分)﹣What's the weather like in Australia_____July?﹣It is winter there,so it's a little cold.()A.in B.on C.at D.with3.(0.5分)The North Star is one of_____stars in the night sky.()A.bright B.brighterC.brightest D.the brightest4.(0.5分)I'd_____love to go to the theatre tonight,I am too busy.()A.so B.or C.but D.and5.(0.5分)We_____a few museums while we were in London.()A.visit B.visited C.have visited D.are visiting6.(0.5分)﹣Shall we play tennis now?﹣Sorry,I can't.I_____my homework.()A.do B.did C.have done D.am doing7.(0.5分)Mr.King_____a lot about Chinese culture since he came to Beijing.()A.has learnt B.will learn C.learns D.learnt8.(0.5分)﹣_____do you like better,carrots or potatoes?﹣Carrots.They are good for my eyes.()A.Why B.Which C.Who D.Whose9.(0.5分)﹣My grandma_____looking at that photo on the wall.﹣I can understand.It helps her remember her childhood.()A.enjoys B.enjoyed C.was enjoying D.will enjoy10.(0.5分)Mum_____the window in the kitchen when I got home.()A.cleans B.will clean C.was cleaning D.is cleaning11.(0.5分)Some new airports_____in the west of our country.It will be very convenient to go there.()A.built B.will buildC.were built D.will be built12.(0.5分)﹣I wonder .You are very early every day.﹣Only 5minutes' walk.()A.how far is it Irom your home to schoolB.how far it is from your home to schoolC.how far was it Irom your home to schoolD.how far it was from your home to school二、完形填空(共8分,每小题8分)阅读下面地短文,掌握其大意,然后从短文后各题所给地A、B、C、D四个选项中,选择最佳选项.13.(8分)Lyle's Second GoIn 1982,when I was coaching the Raiders,the owner of the team talked with me about a possible trade for Lyle Alzado.After watching him on tape,I didn't think he was that good,but the owner felt we could make Lyle better by creating the right environment lor him.We made the (1).That summer at training camp,Lyle was having a hard time.He had that look in his eyes that many young players and some old players get when things aren't going (2).One morning Lyle came into my office and he looked like he hadn't slept.Here was a huge man,with his head about as(3)as it could go.We talked,or rather,I listened.The main point was that Lyle felt his career (职业生涯)was over and it would be best for him and for the team if he retired (退役).He apologized for (4)us since we had just traded for him.Lyle was always an emotional person.This is one of the reasons he was a good player.He (5)all that emotional energy with him,ready to lire out at the snap of the ball (开球).Now he was in front of me,almost crying.Ithought for a moment,realizing we had to keep that(6)going.Then I went through my reasons why he should not retire.At the end of our talk,I said,"You go out and play your very best,and let us(7)if you still have it.Personally,I think you do."In January 1984.Tampa Bay Stadium.Super Bowl XVIII.With less than two minutes remaining,we were leading 38﹣9.We were the world champions of professional football.I saw Lyle,crying like a baby.I had to turn away quickly,or I would have joined him in(8).I remembered that morning in my office,and what Lyle,and what the Raiders,had achievedsince he came to us.If Lyle hadn't given his career another shot,he wouldn't have had this victory.Maybe the Raiders wouldn't have had this victory.During that moment,I felt one of the greatestsatisfactions of my coaching career.(1)A.deal B.plan C.argument D.mistake(2)A.away B.over C.well D.fast(3)A.low B.cool C.clear D.heavy(4)A.pushing B.refusing C.cheating D.disappointing(5)A.faced B.carried C.received D.imagined(6)A.ball B.fire C.time D.talk(7)A.guess B.wonder C.decide D.predict(8)A.cheers B.pain C.peace D.tears三、阅读下列短文,根据短文内容,从短文后各题所给地A、B、C、D四个选项中,选择最佳选项.(共26分,每小题6分)14.(6分)I'm crazy about chocolate,so it's no surprise that my favorite book is Charlieandthe Chocolate Factory by the wonderful Roald Dahl.Forget Charlie Bucket,the realhero is Willy Wonka,inventor of the most amazing sweets in the world.Here are just afew of his delicious creations :•Hot ice cream for a cold day! What a great idea.Now I can eat ice creamevery day! He also invented an ice cream that never melts (融化)﹣very useful.•Wallpaper that you can lick.This wallpaper comes in orange,grape,apple and banana flavours.When you lick the pictures,you taste the fruit.Brilliant!•Grass made of sugar called Swudge.It grows by the chocolate river and the chocolate waterfall in Willy Wonka's factory.•Mr.Wonka also invented some special sweets for schoolchildren,such as a kind of chocolate others cannot see when you are eating it.There are also sugar﹣coated pencils and magic hand﹣fudge (软糖)﹣you hold the fudge in your hand and you taste it in your mouth.Finally,there are Wonka's explodingsweets ﹣agreat way of scaring (恐吓)the school bully!Anyway,these are just a few of his inventions.Read the bookif you want to know more.(1)Who invented the most amazing sweets in the world?A.Willy Wonka.B.Roald Dahl.C.Charlie Bucket.D.The writer.(2)Wallpaper is a kind of sweet that.A.never meltsB.has tastes of different fruitsC.smells like chocolateD.can not be seen by others(3)Which invention is designed especially for schoolchildren?A.Hot ice cream.B.Wallpaper.C.Swudge.D.Sugar﹣coated pencils.15.(6分)JOINING A CHOIRI've always loved singing,but singing hasn't always loved me.Iwould open my mouth with a beautiful song in my head,fully expectingmy voice to follow suit ﹣only to get an awful tone (音调)in return.Still,without a second thought,I continued to try to sing whenever possible.On car journeys,when my now twentysomething sons weresmall,they would make a great play (hands over their ears,shouting‘ No,Mum,stop!')of going through punishment as I sang along to the radio.Never in a hundred years would I have thought about joining a choir.And when I did finallybecome a member of my first choir 15years ago,something fantastic happened to my life.From thefirst time I experienced my voice as something special but also comfortable,in harmony (和谐)withthe other singers,I lost my heart to singing.It was like falling in love.And everyone in the choir hadthe same shining smiles and bright eyes ﹣singing made them feel happy,too.Although it is singing itself that makes me happy,it is also how a choir works together.There issomething magical about breathing together.The voice of everyone singing quietly together ispowerful and excitingly mysterious (神秘地),almost spiritual.And there's the unexpected friendship from the activities we do as a choir:raisingmoney forgood causes and taking our singing sometimes to places where people are forgotten and sad.I am now a member of six choirs and,if I can,sing every day of the week.I stand in front ofseveral hundred people,and know that some,if not all,of each song will sound not bad at all.(1)What did the writer's sons think of her singing when they were small?A.Terrible.B.Comfortable.C.Fantastic.D.Boring.(2)When did the writer join her first choir?A.A week ago.B.Six years ago.C.Fifteen years ago.D.Twenty years ago.(3)What brings the writer the unexpected friendship?A.Having car journeys with her sons.B.Helping others by singing in choirs.C.Having shining smiles and bright eyes.D.Singing in front of hundreds of people.16.(6分)Parents and children often face the challenges of money.Common topics include setting thepocket money,learning to save,and deciding on expensive purchases.The goal of most parents is toteach their kids how to manage money wisely.The goal of most kids is getting money to spend.Howcan families balance these goals?"All parents hope they'll raise a money﹣savvy kid,who'll grow up to be an adultwise in theirmoney use." says financial (金融地)planner Peg Eddy.The key is letting kids learn by having alittle money of their own.The Tidier family in Denver found the best way to teach about money was to let their kids earnsome.Their son,Ryan,17,has been helping with their garden since he was 8.Now he has beenable to save ¥7,800.Ryan has come to see the value in making his own money even when otherkids are given money by their parents.Learn Now,Save LaterMoney skills are an important part of becoming a successful adult.David Brady,anotherfinancial planner,says,"Young people today will have much more responsibility for their financialfuture than their parents or grandparents."Brady does remind kids."They shouldn't be thinking about money all the time," he says.However,they should understand basic rules for earning,saving and investing (投资).That knowledge is greatly needed.Over the past years,the averagecredit card debt (债务)of Americans ages 18to 24doubled,to nearly¥3,000.Among high school students,four out of five have never taken apersonal﹣finance class.Talking About ItMany kids want to learn how to manage their money.But parentsthink only about what kidsshouldn't do.Instead,experts say,knowing how to manage money is the best way for kids to getwhat they really want.That means long﹣term planning and savingfor big expenses like college or acar.It also means thinking of others,by making donations to charity (慈善).Giselle Lopez,17,of New York City,learned the hard way.She was over ¥2,000in debt onher first credit card.Her parents refused to pay,so Giselle got a job.Then she paid the debt offslowly herself."Now every time I use it,I know that it comes from my own pocket," Giselle says."That gives me a sense of responsibility for my actions."Different kids will have different styles when it comes to money.Teaching them how to usemoney doesn't have to mean setting strict rules.When children like Ryan and Giselle have their ownmoney to consider,they can learn to set those rules themselves.(1)Brady believes that.A.parents should attend more personal﹣finance classesB.parents should teach their kids how to saveC.kids should learn how to manage moneyD.kids should follow the school rules(2)Why did the writer say Giselle Lopez "learned the hard way"?A.Because she had to pay the debt off slowly herself.B.Because she had to make donations to charity.C.Because she had difficulty finishing her job.D.Because she had too many credit cards.(3)What is the best title for the passage?A.Saving Matters!B.Parents Rule!C.Classes Work!D.Money Counts!17.(8分)Cities are taking interest in electric scooter﹣share systems as an affordable transportation to cutdown on pollution and traffic jams.The electric scooters,which weigh between 30and 40pounds,reach speeds of about 15mph.In September 2017,Santa Monica,California,became the first U.S.city to have an electric scooter﹣share service.Users find and unlock one of the more than 1,000scooters with a smartphone app.A ride costs ¥1,and then 0.15cents foreach minute of riding throughout the beach town.Bird,the startup operating the scooter﹣share,picks up the scooters everynight tothem,and places them around Santa Monica each morning ready for people's use.The company wascreated by Travis VanderZanden,who once worked in Uber and Lyft,after he realized ridesharingservices failed to help with traffic jams and air pollution.Since its September 2017beginning,Bird'ssystem has served more than 50,000riders who have taken 250,000trips ﹣more than half of which havebeen in the last month.It's since expanded (扩张)to Venice,California,and some neighborhoods in LosAngeles and San Diego.Bird plans to expand to lots of markets by the end of 2018.Competitors,backed by millionaires,are appearing.Two bike﹣share startupsLimeBike andSpin,have spoken of plans to provide electric scooters in cities this year.Electric scooters have also gotten the attention of Mayor Pete Buttigieg from South Bend,Indiana.The city is interested in using them as a way to improve public transportation.South Bendwas one of the first to use bike﹣share systems,which allow people to park ridesharing bikes on publicland."We love to be early pioneers," said Buttigieg."If we work out the safety problem,we wouldbe open to welcoming the technology.""We need to make sure these new transportation systems are lawful and safe for users,"Constance Farrell,a spokeswoman for the city of Santa Monica told CNN."We would like to seeelectric scooters continue to operate in the city.They are in line with our goal of multi﹣modal livingand carbon﹣light living." According to Farrell,there have been eight accidents,including one with aserious head injury,in Santa Monica after the scooters rolled out.Users are required to have adriver's license (驾照),shouldn't ride on sidewalks or have other passengers on board.Bird has given out free helmets to some riders and tells its users to ride in bike lanes,but some users ride on sidewalks,and most U.S.streets don't havebike lanes."The global community of cities is going to have to work this all out for scooters,"Buttigieg said."They can move unbelievably quickly.That's exciting,and a littledangerous."(1)Why did Travis create Bird company?A.Because he received support from millionaires and the government.B.Because many cities had electric scooter﹣share services.C.Because it is lawful and safe to use electric scooters.D.Because cities need better ridesharing services.(2)The words "are in line with" inParagragh 6probably mean "".A.stopB.meet the need ofC.changeD.are ahead of(3)What can we learn from the passage?A.Future electric scooters will be very slow and sale.B.Electric scooters will cause fewer accidents than cars.C.More cities will try to help with electric scooters service.D.Future traffic problems will be solved with help of electric scooters.(4)The passage is mainly about.A.the challenges of the electric scooter﹣share system in AmericaB.the advantages and disadvantages of electric scooters in AmericaC.the introduction of the electric scooter﹣share service in AmericaD.the future of electric scooters in public transportation in America四、阅读短文,根据短文内容回答问题.(共10分,每小题10分)18.(10分)It was a cold night in Washington,D.C.,and I was heading back to the hotel when a man cameto me.He asked if I would give him some money so he could get something to eat.I'd read the signs:"Don't give money to panhandlers (乞丐)." So I shook my head and kept walking.I wasn't prepared for a reply,but he said,"I really am homeless and I really am hungry! Youcan come with me and watch me eat!" But I kept on walking.I couldn't forget what happened to me that day for the rest of the week.I had money in mypocket and it wouldn't have killed me to hand over a dollar or two even if he had been lying.On avery cold night,no less,I thought the worst of a fellow human being.Flying back to Anchorage,Istill couldn't help thinking of him.I was the writer of a weekly garden column (专栏)at The Anchorage Daily News.One day,out of the blue,I came up with an idea.Bean's Cafe,the soup kitchen in Anchorage,feedshundreds of hungry people every day.Why not try to get all my readers to plant one row in theirgardens for Bean's?Plant a row and take it down to Bean's.Clean and simple.We didn't keep records back then,but the idea began to take off.People would call me whenthey took something in.Those who only grew flowers gave them away.Food for the spirit.In 1995 ,the Garden Writers Association of America (GWAA)held their meeting in Anchorageand alter learning of Anchorage's program,Plant a Row for Bean's became Plant a Row for theHungry.The idea was to have every member of the Garden Writers Association of America write ortalk about planting a row for the hungry.As more and more people started working with the program,many companies gave free seed tocustomers and had the logo (商标)seen in public.Garden editor Joan Jackson raised more than 30,000pounds of fruits and vegetables her firstyear,and showed the public how the program could really work.Texas fruit farms gave away food totheir local food bank alter hearing about Plant a Row.Today the program continues to grow.I am shocked that millions of Americans are threatened by hunger.If every gardener inAmerica ﹣and we're seventy million strong ﹣plants one row for the hungry,we can make a differencein the number of neighbors who don't have enough to eat.Maybe then I will stop feelingguilty (愧疚)about walking past a hungry man I could have helped.(1)Did the writer give money to the hungry man?(2)How did the writer feel alter flying back to Anchorage?(3)What did the writer try to get his readers to do?(4)What did the GWAA do for the "Plant a Row" program?(5)What is the purpose of the program?五、文段表达(10分)19.(10分)假如你是李华,你被邀请在学校组织地"中英学生学习交流会"上发言.请你结合经历地"五选三"地选考过程,写一份英文讲稿,分享学习体会.内容包括你选考地科目是什么?为什么选择这些科目?你认为如何能学好它们?提示词语:physics,biology and chemistry,politics,geography ,improve,interest,active提示冋题:1.What subjects did you choose?2.Why did you choose them?3.What is the best way to prepare for them?Teachers and fellow students ,I'm greatly honored to give a speech here.Thank you.Li Hua20.现在,某英文报纸正在开展以"遇见美"为主题地征文活动.假如你是李华,请用英语写一篇短文投稿.谈一谈生活中你遇见美地一次经历,主要内容包括你什么时候在哪里遇见了美,经历了什么事情以及你为什么觉得它美.提示词语:visit,touch,impress,meaningful,amazing,memory提示冋题:1.When and where did it happen?2.What did you experience?3.Why was it beautiful?2018年北京市西城区中考英语一模试卷参考答案与试题解析一、单项填空(共6分,每小题0.5分)从下面各题所给地A、B、C、D四个选项中,选择可以填入空白处地最佳选项.1.(0.5分)﹣Jack,thank you lor the flowers.﹣It's all right.I hope you like______.()A.they B.them C.their D.themselves【分析】杰克,谢谢你地花.﹣不客气,希望你喜欢.【解答】此题考查人称代词,they他们;它们;她们,人称代词主格,在句首作主语;them 他们;它们;她们,人称代词宾格,放于动词或介词后做宾语;their他(她,它)们地,形容词物主代词,后面接名词;themselves他[她,它]们自己;反身代词,在句中多用作宾语,有时也可用在主语或宾语之后充当同位语;此题like为动词,需要一个宾格形式,根据上句中是flowers复数形式,故用them;故选:B.2.(0.5分)﹣What's the weather like in Australia_____July?﹣It is winter there,so it's a little cold.()A.in B.on C.at D.with【分析】﹣﹣七月澳大利亚地天气怎么样?﹣﹣那里是冬天,所以有点冷.【解答】分析句子What's the weather like in Australia_____July,结合选项,推测这里放在July前面用介词in.故选:A.3.(0.5分)The North Star is one of_____stars in the night sky.()A.bright B.brighterC.brightest D.the brightest【分析】北极星是夜空中最亮地星星之一.【解答】根据The North Star is one of_____stars in the night sky,可知这里one of+形容词地最高级+名词复数,最高级前面加定冠词the.故选:D.4.(0.5分)I'd_____love to go to the theatre tonight,I am too busy.()A.so B.or C.but D.and【分析】我今晚很想去看戏,但我太忙了.【解答】考查并列连词.so 所以,表示前后是因果关系;and 并且,表示前后是并列关系;or否则,表示前后是选择关系;but但是,表示前后是转折关系.根据题干I'd love to go to the theatre tonight,…I am too busy.可知前后句是转折关系,所以用but.故选:C.5.(0.5分)We_____a few museums while we were in London.()A.visit B.visited C.have visited D.are visiting【分析】我们在伦敦时参观了几家博物馆.【解答】从while we were in London判断句子使用一般过去时.故选:B.6.(0.5分)﹣Shall we play tennis now?﹣Sorry,I can't.I_____my homework.()A.do B.did C.have done D.am doing【分析】﹣﹣我们现在打网球好吗?﹣﹣对不起,我不能.我正在做作业.【解答】根据Shall we play tennis now,可知这里说地是现在地情况,所以下面做作业应该是一个正在进行地动作,时态用现在进行时,构成be+Ving.故选:D.7.(0.5分)Mr.King_____a lot about Chinese culture since he came to Beijing.()A.has learnt B.will learn C.learns D.learnt【分析】自从金来到北京以来,他学到了很多关于中国文化地知识.【解答】根据时间状语since he came to Beijing,可以判断句子用现在完成时.现在完成时地构成是:主语+ have/has +动词地过去分词.故选:A.8.(0.5分)﹣_____do you like better,carrots or potatoes?﹣Carrots.They are good for my eyes.()A.Why B.Which C.Who D.Whose【分析】你更喜欢哪一个,胡萝卜还是土豆?胡萝卜,他们对我地眼睛有好处.【解答】why为什么;which 哪一个;who谁;whose谁地;根据句意你更喜欢哪一个,那一个是which.故选:B.9.(0.5分)﹣My grandma_____looking at that photo on the wall.﹣I can understand.It helps her remember her childhood.()A.enjoys B.enjoyed C.was enjoying D.will enjoy【分析】﹣﹣我奶奶喜欢看墙上地那张照片.﹣﹣我能理解,这有助于她记住她地童年.【解答】根据My grandma_____looking at that photo on the wall,可知这里叙述一件事实,时态用一般现在时,主语是单数.故选:A.10.(0.5分)Mum_____the window in the kitchen when I got home.()A.cleans B.will clean C.was cleaning D.is cleaning【分析】我到家时,妈妈正在厨房擦窗户.【解答】由句子中地got可知要用过去时态地某种形式,排除AB;根据句意,当一个动作got home发生时,另一个动作正在进行,要用过去进行时.故选:C.11.(0.5分)Some new airports_____in the west of our country.It will be very convenient to go there.()A.built B.will buildC.were built D.will be built【分析】我国西部将修建一些新机场,到那里去将很方便.【解答】根据下文为一般将来时态,表达地意思是:到那里去将很方便.结合题干可知在我国西部修建一些新机场,是将来地事情故确定为一般将来时态,又知主语Some new airports是谓语动词build地承受者,二者形成被动关系,故确定为被动语态,故确定该句地谓语动词为一般将来时态地被动语态,其结构为will +be+过去分词.故填入will be built.故选:D.12.(0.5分)﹣I wonder .You are very early every day.﹣Only 5minutes' walk.()A.how far is it Irom your home to schoolB.how far it is from your home to schoolC.how far was it Irom your home to schoolD.how far it was from your home to school【分析】﹣﹣我想知道从你家到学校有多远.你每天来地都很早.﹣﹣只走5分钟.【解答】根据I wonder 可知,本题考查宾语从句,宾语从句中一般为陈述语序,选项AC是疑问语序,所以排除掉;再根据You are very early every day,可知这里说地应该是现在地情况,时态用一般现在时.故选:B.二、完形填空(共8分,每小题8分)阅读下面地短文,掌握其大意,然后从短文后各题所给地A、B、C、D四个选项中,选择最佳选项.13.(8分)Lyle's Second GoIn 1982,when I was coaching the Raiders,the owner of the team talked with me about a possible trade for Lyle Alzado.After watching him on tape,I didn't think he was that good,but the owner felt we could make Lyle better by creating the right environment lor him.We made the (1)A.That summer at training camp,Lyle was having a hard time.He had that look in his eyes that many young players and some old players get when things aren't going(2)C.One morning Lyle came into my office and he looked like he hadn't slept.Here was a huge man,with his head about as(3)A as it could go.We talked,or rather,I listened.The main point was that Lyle felt his career (职业生涯)was over and it would be best for him and for the team if he retired (退役).He apologized for (4)D us since we had just traded for him.Lyle was always an emotional person.This is one of the reasons he was a good player.He (5)B all that emotional energy with him,ready to lire out at the snap of the ball (开球).Now he was in front of me,almost crying.I thought for a moment,realizing we had to keep that(6)B going.Then I went through my reasons why he should not retire.At the end of our talk,I said,"You go out and play your very best,and let us(7)C if you still have it.Personally,I think you do."In January 1984.Tampa Bay Stadium.Super Bowl XVIII.With less than two minutes remaining,we were leading 38﹣9.We were the world champions of professional football.I saw Lyle,crying like a baby.I had to turn away quickly,or I would have joined him in(8)D.I remembered that morning in my office,and what Lyle,and what the Raiders,had achievedsince he came to us.If Lyle hadn't given his career another shot,he wouldn't have had this victory.Maybe the Raiders wouldn't have had this victory.During that moment,I felt one of the greatestsatisfactions of my coaching career.(1)A.deal B.plan C.argument D.mistake(2)A.away B.over C.well D.fast(3)A.low B.cool C.clear D.heavy(4)A.pushing B.refusing C.cheating D.disappointing(5)A.faced B.carried C.received D.imagined(6)A.ball B.fire C.time D.talk(7)A.guess B.wonder C.decide D.predict(8)A.cheers B.pain C.peace D.tears【分析】这是一篇记叙文,主要介绍作者作为一个球队地教练期间,他地一个队员由于一些原因想要退役,但是作者给他很大地鼓励.让这名球员重新找回了自信.并最后在超级碗地比赛中获得了世界冠军.在那一刻,作者感到了一种荣耀.他地教练生涯令人满意.【解答】1.A.考查名词.A交易、处理.B计划.C争论.D错误.句意"我们做了__".根据上句After watching him on tape,I didn't think he was that good,but the owner felt we could make Lyle better by creating the right environment for him 我认为他没那么好,但球队所有者觉得我们可以通过给他创造合适地环境让莱尔更好.可知,这里是球队要交易新球员.因此应该是"交易".选A.2.C.考查副词.A离开.B结束.C好.D快.句意"当事情进展不__地时候".根据下一句One morning Lyle came into my office and he looked like he hadn't slept一天早晨,Lyle走进我地办公室,他看上去好像没睡过.可知,应该是不"好".选C.3.A.考查形容词.A低地.B凉爽地.C清晰地.D重地.句意"他是一个块头很大地男人,他尽可能地__着头".根据下一行The main point was that Lyle felt his career (职业生涯)was over 重要地是Lyle觉得他地事业已经结束了.可知,应该是"低地".选A.4.D.考查动名词.A推.B拒绝.C欺骗.D失望.句意"他为我们刚刚交易他而使我们__而道歉.".可知,训练不顺利.应该是"失望".选D.5.B.考查动词.A面对.B携带.C收到.D想象.句意"他__所有地情感能量,准备击球".可知,带着能量参加比赛.应该是"携带".选B.6.B.考查名词.A球.B火、热情.C时间.D谈话.句意"我想了一会儿,意识到我们必须保持__.".根据下一句Then I went through my reasons why he should not retire然后我仔细考虑了他不应该退役地原因.可知,应该是保持"热情".选B.7.C.考查动词.A猜.B奇怪.C决定.D预测.句意"让我们__你是否还拥有它".Lyle想要退役.但是作者鼓励他继续努力训练.让他们"决定"是否Lyle退役或是否还有对比赛地热情.选C.8.D.考查名词.A喝彩.B痛苦.C和平.D眼泪.句意"不得不尽快离开,不然我会和他一起__".根据上一句I saw Lyle,crying like a baby我看见Lyle哭得像个婴儿.可知,应该是in tears泪流满面.选D.三、阅读下列短文,根据短文内容,从短文后各题所给地A、B、C、D四个选项中,选择最佳选项.(共26分,每小题6分)14.(6分)I'm crazy about chocolate,so it's no surprise that my favorite book is Charlieandthe Chocolate Factory by the wonderful Roald Dahl.Forget Charlie Bucket,the realhero is Willy Wonka,inventor of the most amazing sweets in the world.Here are just afew of his delicious creations :•Hot ice cream for a cold day! What a great idea.Now I can eat ice creamevery day! He also invented an ice cream that never melts (融化)﹣very useful.•Wallpaper that you can lick.This wallpaper comes in orange,grape,apple and banana flavours.When you lick the pictures,you taste the fruit.Brilliant!•Grass made of sugar ca lled Swudge.It grows by the chocolate river and the chocolate waterfall in Willy Wonka's factory.•Mr.Wonka also invented some special sweets for schoolchildren,such as a kind of chocolate others cannot see when you are eating it.There are also sugar﹣coated pencils and magic hand﹣fudge (软糖)﹣you hold the fudge in your hand and you taste it in your mouth.Finally,there are Wonka's explodingsweets ﹣agreat way of scaring (恐吓)the school bully!Anyway,these are just a few of his inventions.Read the bookif you want to know more.(1)Who invented the most amazing sweets in the world?AA.Willy Wonka.B.Roald Dahl.C.Charlie Bucket.D.The writer.(2)Wallpaper is a kind of sweet that B.A.never meltsB.has tastes of different fruitsC.smells like chocolateD.can not be seen by others(3)Which invention is designed especially for schoolchildren?DA.Hot ice cream.B.Wallpaper.C.Swudge.D.Sugar﹣coated pencils.【分析】本文介绍了《查理和巧克力工厂》这本书以及里面描述地一些美味创意.【解答】1.A 细节理解题.由the real hero is Willy Wonka,inventor of the most amazing sweets in the world.可知发明世界上最神奇地甜食地是Willy Wonka,选A.2.B 细节理解题.由This wallpaper comes in orange,grape,apple and banana flavours.When you lick the pictures,you taste the fruit.可知wallpaper是一种有着不同水果味道地甜食,选B.3. D 细节理解题.由Mr.Wonka also invented some special sweets for schoolchildren,such as a kind of chocolate others cannot see when you are eating it.There are also sugar﹣coated pencils and magic hand﹣fudge (软糖)﹣you hold the fudge in your hand and you taste it in your mouth.可知Sugar﹣coated pencils 是特别为孩子们设计地,选D.15.(6分)JOINING A CHOIRI've always loved singing,but singing hasn't always loved me.Iwould open my mouth with a beautiful song in my head,fully expectingmy voice to follow suit ﹣only to get an awful tone (音调)in return.Still,without a second thought,I continued to try to sing whenever possible.On car journeys,when my now twentysomething sons weresmall,they would make a great play (hands over their ears,shouting‘ No,Mum,stop!')of going through punishment as I sang along to the radio.Never in a hundred years would I have thought about joining a choir.And when I did finallybecome a member of my first choir 15years ago,something fantastic happened to my life.From thefirst time I experienced my voice as something special but also comfortable,in harmony (和谐)withthe other singers,I lost my heart to singing.It was like falling in love.And everyone in the choir hadthe same shining smiles and bright eyes ﹣singing made them feel happy,too.Although it is singing itself that makes me happy,it is also how a choir works together.There issomething magical about breathing together.The voice of everyone singing quietly together ispowerful and excitingly mysterious (神秘地),almost spiritual.And there's the unexpected friendship from the activities we do as a choir:raising money forgood causes and taking our singing sometimes to places where people are forgotten and sad.I am now a member of six choirs and,if I can,sing every day of the week.I stand in front ofseveral hundred people,and know that some,if not all,of each song will。
2018年北京市西城区中考物理一模试卷和答案
2018年北京市西城区中考物理一模试卷一、单项选择题(下列各小题四个选项中只有一个选项符合题意.共30分,每小题2分)1.(2分)下列四位物理学家中,以其名字命名压强单位的是()A.牛顿B.帕斯卡C.瓦特D.焦耳2.(2分)在如图所示的四种现象中,由于光的折射形成的是()A.荷花在水中形成“倒影”B.景物逆光形成“剪影”C.景物在汽车观后镜中成像D.透过放大镜观察植物3.(2分)关于声现象,下列说法正确的是()A.声音可以在真空中传播B.吉他是靠琴弦的振动发声C.音乐一定不会成为噪声D.振幅大小决定音调的高低4.(2分)在如图所示的四个物态变化的实例中,属于凝华的是()A.初春,冰河消融B.仲夏,绿叶挂珠C.深秋,红叶落霜D.寒冬,滴水成冰5.(2分)下列说法中正确的是()A.电子的直径大于分子的直径B.核能和化石能源都属于可再生能源C.超导材料处于超导态时电阻为零D.水能和太阳能都属于不可再生能源6.(2分)如图所示的四个实例中,目的是为了减小摩擦的是()A.运动员在手上涂抹镁粉B.浴室地砖表面有凹凸花纹C.陆地冰球鞋上安装滚轮。
D.汽车轮胎上安装防滑链7.(2分)在如图所示的四种用具中,正常使用时属于费力杠杆的是()A.裁纸刀B.食品夹C.瓶盖起子D.核桃夹子8.(2分)下列说法中正确的是()A.液体在凝固过程中放出热量B.液体的沸点随压强的增大而降低C.久放的樟脑球变小是汽化现象D.蔬菜包上保鲜膜有利于水分蒸发9.(2分)下列说法中正确的是()A.篮球受到力的作用,运动状态一定改变B.汽车加速运动时,一定受到非平衡力的作用C.受非平衡力作用的足球,一定沿着直线运动D.受到平衡力作用的弹簧,一定不会发生形变10.(2分)将两个定值电阻接在同一电路中,如果它们两端的电压相等,则下列判断正确的是()A.这两个电阻的阻值一定相等B.通过这两个电阻的电流一定相等C.若两个电阻并联,相同时间电流通过它们做功一定相等D.若两个电阻串联,相同时间电流通过它们做功一定相等11.(2分)如图所示是一种环保型手电筒,筒内有一个能滑动的圆柱形永磁铁,外圈套着一个线圈。
2018年北京市西城区初三地理一模试题和答案(Word版-可编辑)
北京市西城区2018年九年级统一测试地理试卷2018.4姓名班级学校考生须知1. 本试卷共12页, 共两部分, 44道小题。
满分90分。
考试时间90分钟。
2. 在试卷和答题卡上准确填写学校名称、班级、姓名和学号。
3.试题答案一律书写在答题卡上, 在试卷上作答无效。
4.在答题卡上, 试题用黑色字迹签字笔作答。
5.考试结束, 将本试卷和答题卡一并交回。
第一部分选择题(共40分)下列各小题均有四个选项, 其中只有一项是符合题意要求的。
请将所选答案的字母填涂在答题卡的相应位置上。
中国饮食文化有着鲜明的地域特色。
图1是四个餐饮品牌的商标设计。
读图, 完成1~3题。
1.图中餐饮品牌各具特色, 其所属省区正确的是A. ①——.....B.②——...C. ③——..D.④——贵2.形成于四川盆地, 体现了人们对夏季湿热环境适应性的美食是A.........B.......C.......D. ④3.图中④是蒙自云南过桥米线商标。
米线又称“米粉”, 一百多年前, 汉族居民将这种小吃带到哈尼族、彝族聚居的蒙自地区, 逐渐加工演化成独特的地方美食。
蒙自过桥米线传统技艺2015年被列入《国家级非物质文化遗产名录》。
这反映出我国A. 北方地区以稻米为主食的历史源远流长B.地方美食也是自然旅游资源的组成部分C. 少数民族和汉族交错杂居中的文化融合D.保护古老技艺以便获取最大的经济效益图2是某校学生在地理实践活动课上, 用橡皮泥制作的一组等高线地形模型作品, 图3是同学们制作时使用的底图之一。
读图, 完成4~6题。
图14.根据图3制作出的等高线地形模型是 A..........B.. C.丙..... D.丁5.图3中地形部位有一处标注存在错误, 是A.山........B.鞍部C.山. ...D.陡崖6.如果由你来改进这些模型作品,你认为这四个作品应该共同增加的元素是A. 经纬网B. 指向标C. 水平比例尺D. 垂直比例尺北京中山公园内保留着明代所建的社稷坛。
2018年北京市西城区中考化学一模试卷
。
(3)由实验 2 得出“KI 变质一定与 O2 有关”的结论,依据的两个实验是 编号)。
(填
(4)由实验 2 推知,KI“泛黄”变质的条件是
。
III.依据初步结论,深入探究变质的条件
实验 3:分别取相同浓度的 KI 溶液进行实验,在空气中放置相同时间,现象如下表。
编
①
②
③
④
⑤
号
实 验
溶
无色
浅黄色黄色(依次加深)
方程式是
。
。
(2)用装置 A、E 制取氧气。选用装置 (2)用装置 B、C 制取二氧化碳。检验二
E 收集氧气的原因是
。
氧化碳已收集满的操作是
。
第5页(共9页)
20.(2 分)“去除粗盐中难溶性杂质”的实验操作如图所示:
(1)正确的操作顺序是
(填序号).
(2)操作 B 中,用玻璃棒不断搅拌的目的是
.
(5)下列说法正确的是
。
A.采用清水浸泡去除农药的时间不宜过长
B.多数洗洁精对农药的清洗效果比清水浸泡的好
C.食用碱的去除效果较好,是因为在浸泡过程中农药发生了化学变化
18.(4 分)工业上制造高纯度 CaO 的主要流程示意图如图:
(1)CaCO3 中碳元素的化合价是
。
(2)反应釜中发生的反应属于复分解反应,其化学方程式是
洗洁精清洗。实验选择了 6 种洗洁精进行测试,结果表明,多数洗洁精对农药的去除率
可达到 60%以上,最高可达到 84%。
碱性溶液浸泡。食用碱(Na2CO3 和 NaHCO3) 溶液有利于农药分解。图 2 表示不同 浓度的食用碱溶液对农药去除率的影响。
希望同学们可以选择科学的清洗方法,更加安全的食用蔬菜。依据文章内容,回答下列
2018年西城区初三一模语文试卷及答案
北京市西城区年九年级统一测试语文试卷考.本试卷共页,共五道大题,道小题。
满分分。
考试时间分钟。
生.在试卷和答题卡上准确填写学校名称、班级、姓名和学号。
须.试题答案一律填涂或书写在答题卡上,在试卷上作答无效。
知.在答题卡上,选择题用铅笔作答,其他试题用黑色字迹签字笔作答。
一、基础·运用(共分)暮春时节,学校举办“春光作伴好读诗”系列活动。
九年级的同学开展了“美丽《诗经》”专题活动。
有同学查阅资料后,写出关于《诗经》的一段文字,请你参与完善,完成题。
中国是一个爱诗的国度,中国人是一个爱诗的民族。
我们从祖先三千多年前留下来的《诗经》里,依然可以找到我们今天所渴望的生活的样子。
三千年前的《诗经》不曾离开过我们。
“青青子衿,悠悠我心。
但为君故,沉吟至今”,曹孟德在《短歌行》中对《诗经·郑风·子衿》的化用显得如此自然真切;“挥手自兹去,萧萧班马鸣”,李太白表达离愁别ù()的神来之笔,也语出《诗经·小雅·车攻》。
○。
三千年前的《诗经》不曾离开过我们。
探讨研究学问,我们会说“如切如磋,如琢如磨”;赞美崇高品德,我们会说“高山仰止,景行行止”;表达思念之情,我们会说“一日不见,如三秋兮”。
○。
三千年前的《诗经》不曾离开过我们。
“呦呦鹿鸣,食野之苹”,诺贝尔奖得主屠呦呦的名字yuán()自《诗经·小雅·鹿鸣》;“靡不有初,鲜克有终”,习主席在纪念中国人民抗日战争暨世界反法西斯战争胜利周年大会上讲话的用典出自《诗经·大雅·荡》。
○。
历经三千年沧桑岁月而沉淀下来,《诗经》无需唤醒,它一直在。
那些蕴藉.风流的句子,道尽我们无法言说的情愫,早已了我们的血脉,着我们的容貌,着我们的思想,让我们在《诗经》中追寻民族的文化基因,拥抱那最美的诗和远方。
.文中括号内应填写的汉字和加点词的读音,全都正确的一项是(分).离愁别(序)(缘)自蕴藉(jiè).离愁别(绪)(源)自蕴藉(jí). 离愁别(序)(缘)自蕴藉(jí).离愁别(绪)(源)自蕴藉(jiè).为更加明确地表达文意,将下列各句放在文中横线处,恰当的一项是(分)【甲】《诗经》,它本存在于我们的诗书传承中【乙】《诗经》,它本烙印在我们的家国文化里【丙】《诗经》,它本活跃在我们的日常生活中A.○【甲】○【乙】○【丙】B.○【甲】○【丙】○【乙】C.○【丙】○【甲】○【乙】D.○【乙】○【甲】○【丙】.在文中最后一段的横线处依次填入词语,恰当的一项是(分).塑造淬炼融入.融入淬炼塑造.融入塑造淬炼.塑造融入淬炼.传统楹联常引用《诗经》中的语句。
2018年北京市西城区中考一模数学试题及答案解析
6
10
B
.1.31
7
10
C
.1.31
8
10
D
.0.131
9
10
3.由 5 个相同的正方体搭成的几何体如图所示,则它的主视图是(
).
4.从 1 到 9 这九个自然数中任取一个,是奇数的概率是(
A. 2
B
9
.4
C
9
D. 2
3
). .5
9
1 / 31
5.右图表示一圆柱体输水管的横截面,阴影部分为有水部分,如果输水
3 / 31
过点 A作 AH PQ 于点 H .设点 P 的横坐标为 x ,AH 的长为 y ,则下列图象中,能表示 y 与 x 函数关系的图象大致是
2 / 31
( ).
二、填空题 ( 本题共 16 分,每小题 4 分)
9.分解因式:
2
2a
4a
2
_________.
10.写出一个只含字母的 x 分式,满足 x 的取值范围是 x 2 ,所写的分式是: _________.
).
A.极差是 6
B
.众数是 7
C .中位数是 8 D .平
均数是 10
7.已知关于 x 的一元二次方程 mx2 2x 1 0 有两个不相等的实数根, 则 m 的
取值范围是( ).
A. m 1
B
.m 1
C
. m 1 且 m 0 D . m 1且
m0
8.如图,在平面直角坐标系 xOy 中,以点 A(2,3) 为顶点任作一直角 PAQ , 使其两边分别与 x 轴、y 轴的正半轴交于点 P ,Q .连接 PQ ,
管的半径为 5cm,水面宽 AB 为 8cm,则水的最大深度 CD 为( ).
2018西城九年级语文2018年一模(答案)
北京市西城区2018年九年级统一测试语文试卷答案及评分标准2018.4一、基础·运用(共15分)1. 答案:D(2分)2. 答案:B(2分)3.答案:C(2分)4.答案:B(2分)5. 答案:C(2分)6.答案:白露未晞(1分,有错不得分)在水之涘(1分,有错不得分)7.答案示例:取名:小雅诗社理由:“大雅”“小雅”是《诗经》中诗歌的一种类型,用“小雅”给小镇诗社命名,既符合诗社特点,也体现了《诗经》特色。
(2分,取名符合《诗经》特点1分,对应分析理由1分)8.答案:A(2分)二、古诗文阅读(共16分)(一)古诗文默写(共2分)9.答案:困于心衡于虑而后作(1分,有错不得分)10.答案:心远地自偏(1分,有错不得分)(二)古诗词阅读(共6分)11.答案示例:《闻王昌龄左迁龙标遥有此寄》中诗人李白通过丰富的想象,把“愁心”寄托给了“明月”,让“明月”随风陪伴友人直到夜郎西,将自己对朋友的怀念和同情也带到那里,表达了对友人的深情厚谊。
(2分。
用诗句解释想象1分,分析情感1分)12.答案示例:“子规啼”写杜鹃鸟的叫声哀婉凄切,反映了诗人沉重忧伤的心情;“踏歌声”写用歌声送别,悠扬轻快,反映出诗人轻松的心情。
(2分,每个要点1分)13. 答案示例一:海内存知己,天涯若比邻。
答案示例二:劝君更尽一杯酒,西出阳关无故人。
答案示例三:故人西辞黄鹤楼,烟花三月下扬州。
(2分,每空1分,该空有错不得分。
如不是连续的两句,给1分)(三)文言文阅读(共8分)14.答案:D(2分)15.答案示例:(1)(笔画)细得像是蚊子的脚,一笔一画都清清楚楚。
(2分)(2)(文)与可是这样教给我的。
(2分)16.答案示例:①胸有成竹(对表现对象有整体的把握)(1分)②心手相应(将心之所想用娴熟的技巧表现出来)(1分)参考译文:竹子刚生时,只是一寸长的嫩芽,可是却节、叶都有了。
现在的人画竹时,却是一节一节地接起来,一叶一叶地堆上去,这样做哪里还有竹子呢?所以说画竹,一定要心里有完整的竹子,拿着笔凝神而视,就能看到自己心里想要画的竹子了。
2018年北京市西城区初三数学一模试题及答案2018.5
北京市西城区2018年九年级统一测试数学试卷 2018.4一、选择题(本题共16分,每小题2分)第1-8题均有四个选项,符合题意的选项只有..一个. 1. 在国家大数据战略的引领下,我国在人工智能领域取得显著成就,自主研发的人工智能“绝艺”获得全球最前沿的人工智能赛事冠军,这得益于所建立的大数据中心的规模和 数据存储量,它们决定着人工智能深度学习的质量和速度,其中的一个大数据中心能存储58 000 000 000本书籍.将58 000 000 000用科学记数法表示应为 A . 105.810⨯ B . 115.810⨯ C . 95810⨯ D . 110.5810⨯2. 在中国集邮总公司设计的2017年纪特邮票首日纪念戳图案中,可以看作中心对称图形的是3. 将34b b -分解因式,所得结果正确的是A . 2(4)b b -B . 2(4)b b -C . 2(2)b b -D . (2)(2)b b b +- 4. 如图是某个几何体的三视图,该几何体是 A .三棱柱 B .圆柱 C .六棱柱 D .圆锥5 若实数a ,b ,c ,d 在数轴上的对应点的位置如图所示,则正确的结论是A . 5a -<B . 0b d +<C . 0a c -<D . c6.如果一个正多边形的内角和等于720°,那么该正多边形的一个外角等于A.45°B.60°C.72°D.90°某同学查阅资料,制作了近五年1月份北京市AQI各类别天数的统计图如下图所示.根据以上信息,下列推断不合理...的是A. AQI类别为“优”的天数最多的是2018年1月B. AQI数据在0~100之间的天数最少的是2014年1月C. 这五年的1月里,6个AQI类别中,类别“优”的天数波动最大D. 2018年1月的AQI数据的月均值会达到“中度污染”类别8.将A,B两位篮球运动员在一段时间内的投篮情况记录如下:下面有三个推断:①当投篮30次时,两位运动员都投中23次,所以他们投中的概率都是0.767;②随着投篮次数的增加,A运动员投中频率总在0.750附近摆动,显示出一定的稳定性,可以估计A运动员投中的概率是0.750;③当投篮达到200次时,B运动员投中次数一定为160次.其中合理的是A.①B.②C.①③D.②③二、填空题(本题共16分,每小题2分) 9. 若代数式11x x -+的值为0,则实数x 的值为 . 10.化简:(+4)(2)(1)a a a a --+= .11. 如图,在△ABC 中,DE ∥AB ,DE 分别与AC ,BC 交于D ,E两点.若49DEC ABCS S=, AC =3,则DC= . 12. 从杭州东站到北京南站,原来最快的一趟高铁G20次约用5 h 到达.从2018年4月10日起,全国铁路开始实施新的列车运行图,并启用了“杭京高铁复兴号”,它的运行速度比原来的G20次的运行速度快35 km/h ,约用4.5 h 到达. 如果在相同的路线上,杭州东站到北京南站的距离不变,求“杭京高铁复兴号”的运行速度. 设“杭京高铁复兴号”的运行速度为x km/h ,依题意,可列方程为 .13.如图,AB 为⊙O 的直径,C 为上一点,50BOC ∠=︒,AD ∥OC , AD 交⊙O 于点D ,连接AC ,CD ,那么ACD ∠= .14.在平面直角坐标系xOy 中,如果当0x >时,函数1y kx =-(k ≠0) 图象上的点都在直线1y =-上方,请写出一个符合条件的函数1y kx =-(k ≠0)的表达式: .15. 如图,在平面直角坐标系xOy 中,点A 的坐标为(1,0)A ,等腰直角三角形ABC 的边AB 在x 轴的正半轴上,90ABC ∠=︒, 点B 在点A 的右侧,点C 在第一象限. 将△ABC 绕点A 逆时针 旋转75︒ ,如果点C 的对应点E 恰好落在y 轴的正半轴上,那 么边AB 的长为 . 16.阅读下面材料: 在复习课上,围绕一道作图题,老师让同学们尝试应用学过的知识设计多种不同的作图方法,并交流其中蕴含的数学原理.请你根据该同学的作图方法完成以下推理:AB︒∵ P A=PB ,∠APQ=∠ , ∴ PQ ⊥l .(依据: )三、解答题(本题共68分,第17~19题每小题5分,第20题6分,第21、22题每小题5分,第23题6分,第24题5分,第25、26题每小题6分,第27、28题每小题7分)1711()4sin3015-+︒.18.解不等式组3(+2)+4,11,2x x x ≥⎧⎪⎨-<⎪⎩并求该不等式组的非负整数解.19. 如图,AD 平分∠BAC ,BD ⊥AD 于点D ,AB 的中点为E ,AE<AC .(1)求证:DE ∥AC ;(2)点F 在线段AC 上运动,当AF=AE 时,图中与△ADF全等的三角形是 .20. 已知关于x 的方程 2(3)30mx m x +--=(m 为实数,m ≠0). (1)求证:此方程总有两个实数根;(2)如果此方程的两个实数根都为正整数,求整数m 的值.21. 如图,在△ABD 中,=ABD ADB ∠∠,分别以点B ,D 为圆心,AB 长为半径在BD 的右侧作弧,两弧交于点C ,分别连接BC ,DC ,AC , 记AC 与BD 的交点为O .(1)补全图形,求AOB ∠的度数并说明理由; (2)若AB =5,3cos 5ABD ∠=,求BD 的长.22. 如图,在平面直角坐标系xOy 中,直线y x m =+与x 轴的交点为(4,0)A -,与y 轴的交点为B ,线段AB 的中点M 在函数ky x=(k ≠0)的图象上. (1)求m ,k 的值;(2)将线段AB 向左平移n 个单位长度(0n >)得到线段CD ,A ,M ,B 的对应点分别为C ,N ,D .①当点D 落在函数ky x=(<0x )的图象上时,求n 的值; ②当MD ≤MN 时,结合函数的图象,直接写出n 的取值范围.23. 某同学所在年级的500名学生参加“志愿北京”活动,现有以下5个志愿服务项目:A.纪念馆志愿讲解员;B.书香社区图书整理;C.学编中国结及义卖;D.家风讲解员;E.校内志愿服务.每位同学都从中选择一个项目参加.为了解同学们选择这5个项目的情况,该同学随机对年级中的40名同学选择的志愿服务项目进行了调查,过程如下.收集数据设计调查问卷,收集到如下的数据(志愿服务项目的编号,用字母代号表示)B,E,B,A,E,C,C,C,B,B,A,C,E,D,B,A,B,E,C,A,D,D,B,B,C,C,A,A,E,B,C,B,D,C,A,C,C,A,C,E.整理、描述数据划记、整理、描述样本数据、绘制统计图如下.请补.全统计表....和.统计图....24.如图,⊙O的半径为r ,△ABC内接于⊙O,∠BAC=15︒,∠ACB=30︒,D为CB延长线上一点,AD与⊙O相切,切点为A.(1)求点B到半径OC的距离(用含r的式子表示);(2)作DH⊥OC于点H,求∠ADH的度数及CBCD的值.25.如图,P为⊙O的直径AB上的一个动点,点C在AB上,连接PC,过点A作PC的垂线交⊙O于点Q.已知AB=5cm,AC=3cm,设A,P两点间的距离为x cm,A,Q 两点间的距离为y cm.某同学根据学习函数的经验,对函数y随自变量x的变化而变化的规律进行探究.下面是该同学的探究过程,请补充完整:(1)通过取点、画图、测量及分析,得到了x与y的几组值,如下表:(说明:补全表格时的相关数值保留一位小数)(2)建立平面直角坐标系,描出以补全后的表中各对对应值为坐标的点,画出该函数的图象;(3)结合画出的函数图象,解决问题:当AQ=2AP 时,AP 的长度约为 cm .26. 在平面直角坐标系xOy 中,抛物线G :221y mx mx m =++- (m ≠0)与y 轴交于点C ,抛物线G 的顶点为D ,直线l :1y mx m =+-(m ≠0) .(1)当1m =时,画出直线l 和抛物线G ,并直接写出直线l 被抛物线G 截得的线段长; (2)随着m 取值的变化,判断点C ,D 是否都在直线l 上并说明理由; (3)若直线l 被抛物线G 截得的线段长不小于...2.,结合函数的图象,直接写出m 的 取值范围.27. 正方形ABCD 的边长为2. 将射线AB 绕点A 顺时针旋转α,所得射线与线段BD 交于点M ,作CE ⊥AM 于点E ,点N 与点M 关于直线CE 对称,连接CN . (1)如图1,当0°<α<45°时,①依题意补全图1;②用等式表示∠NCE 与∠BAM 之间的数量关系: ;(2)当45°<α<90°时,探究∠NCE 与∠BAM 之间的数量关系并加以证明;(3)当0°<α<90°时,若边AD 的中点为F ,直接写出线段EF 的最大值.图1 备用图28.对于平面内的⊙C 和⊙C 外一点Q ,给出如下定义:若过点Q 的直线与⊙C 存在公共点,记为点A ,B ,设AQ BQk CQ+=,则称点A (或点B )是⊙C 的“k 相关依附点”.特别地,当点A 和点B 重合时,规定AQ =BQ ,2AQ k CQ =(或2BQCQ). 已知在平面直角坐标系xOy 中,(1,0)Q -,(1,0)C ,⊙C 的半径为r .(1)如图1,当r =时,①若1(0,1)A 是⊙C 的“k 相关依附点”,则k 的值为______;②2(1A 是否为⊙C 的“2相关依附点”?答:是______(选“是”或“否”); (2)若⊙C 上存在“k 相关依附点”点M ,①当r =1,直线QM 与⊙C 相切时,求k 的值;②当k r 的取值范围;(3)若存在r 的值使得直线y b =+与⊙C 有公共点,且公共点是⊙C 依附点”,直接写出b 的取值范围.图1 备用图北京市西城区2018年九年级统一测试数学试卷答案及评分标准2018.4一、选择题(本题共16分,每小题2分)二、 填空题(本题共16分,每小题2分) 9. 1. 10. 8a -. 11. 2.12.5(35) 4.5x x -=. 13.40.14.答案不唯一,只需0k >即可,例如1y x =-.16.BPQ .…………………………………………………………………………………… 1分等腰三角形顶角的角平分线与底边上的高重合. ……………………………………2分三、解答题(本题共68分,第17~19题每小题5分,第20题6分,第21、22题每小题5分,第23题6分,第24题5分,第25、26题每小题6分,第27、28题每小题7分)17.解:11()4sin3015-+︒1541)2=+⨯- ……………………………………………………… 4分521=+2=.…………………………………………………………………………… 5分18.解:原不等式组为3(+2)+4,1 1.2x x x ≥⎧⎪-⎨<⎪⎩解不等式①,得x ≥1-.…………………………………………………………… 1分 解不等式②,得3x <. …………………………………………………………… 2分 ∴ 该不等式组的解集为1-≤x <3.…………………………………………………3分 ∴ 该不等式组的非负整数解为0,1,2.………………………………………… 5分19. (1)证明:如图1.①∵ AD 平分∠BAC ,∴ ∠1= ∠2.………………………………………1分∵ BD ⊥AD 于点D , ∴ 90ADB ∠=︒. ∴ △ABD 为直角三角形. ∵ AB 的中点为E , ∴ 12AE AB =,12DE AB =.∴ DE AE =. …………………………… 2分 ∴ ∠1= ∠3.∴ ∠2= ∠3.……………………………………………………………… 3分 ∴ DE ∥AC .……………………………………………………………… 4分(2)△ADE .…………………………………………………………………………… 5分20.(1)证明:∵ m ≠0,∴ 方程 2(3)30mx m x +--= 为一元二次方程. …………………… 1分 依题意,得2(3)12m m ∆=-+2(+3)m =.…………………………………………………… 2分∵ 无论m 取何实数,总有2(+3)m ≥0,∴ 此方程总有两个实数根. …………………………………………… 3分(2)解:由求根公式,得(3)(3)2m m x m--±+=.∴ 11x =,23x m=-(m ≠0). …………………………………………… 5分 ∵ 此方程的两个实数根都为正整数,∴ 整数m 的值为1-或3-. ………………………………………………… 6分21.(1)补全的图形如图2所示.……………………………………………………………1分 ∠AOB=90︒.证明:由题意可知BC=AB ,DC= AB .∵ 在△ABD 中,=ABD ADB ∠∠, ∴ AB=AD .∴ BC= DC= AD= AB .∴ 四边形ABCD 为菱形.…………………… 2分 ∴ AC ⊥BD .∴ ∠AOB=90︒. …………………………… 3分(2)解:∵ 四边形ABCD 为菱形,∴ OB= OD .…………………………………………………………………… 4分 在Rt △ABO 中,90AOB ∠=︒,AB =5,3cos 5ABD ∠=, ∴ cos 3OB AB ABD =⋅∠=.∴ 2=6BD OB =.…………………………………………………………… 5分22.解:(1)如图3.∵ 直线y x m =+与x 轴的交点为(4,0)A -, ∴ 4m =.…………………………………… 1分 ∵ 直线y x m =+与y 轴的交点为B , ∴ 点B 的坐标为(0,4)B . ∵ 线段AB 的中点为M , 可得点M 的坐标为(2,2)M -. ∵ 点M 在函数ky x=(k ≠0)的图象上, 图2图3∴ 4k =-.…………………………………………………………………… 3分 (2)①由题意得点D 的坐标为(,4)D n -.∵ 点D 落在函数4y x=-(<0x )的图象上, ∴ 44n -=-.解得 1n =.………………………………………………………………… 4分 ②n 的取值范围是n ≥2.……………………………………………………… 5分23.解:B 项有10人,D 项有4人,划记略.……………………………………………… 2分选择各志愿服务项目的人数比例统计图中,B 占25%,D 占10%.………………4分 分析数据、推断结论a. 抽样的40个样本数据(志愿服务项目的编号)的众数是5分b. 根据学生选择情况答案分别如下(写出任意两个即可).A :50020%=100⨯(人).B :50025%=125⨯(人).C :50030%=150⨯(人).D :50010%=50⨯(人).E :50015%=75⨯(人).……………………………………………………… 6分24. 解:(1)如图4,作BE ⊥OC 于点E .∵ 在⊙O 的内接△ABC 中,∠BAC=15︒,∴ =230BOC BAC ∠∠=︒.在Rt △BOE 中,∠OEB=90︒,∠BOE=30︒,OB=r , ∴ 22OB rBE ==. ∴ 点B 到半径OC 的距离为2r.……………………………………………2分(2)如图4,连接OA .由BE ⊥OC ,DH ⊥OC ,可得BE ∥DH . ∵ AD 与⊙ O 相切,切点为A ,∴ AD ⊥OA .………………………………3分 ∴ 90OAD ∠=︒. ∵ DH ⊥OC 于点H , ∴ 90OHD ∠=︒.∵ 在△OBC 中,OB=OC ,∠BOC=30︒, ∴ 180752BOCOCB ︒-∠∠==︒.∵ ∠ACB=30︒,∴ 45OCA OCB ACB ∠=∠-∠=︒. ∵ OA=OC ,∴ 45OAC OCA ∠=∠=︒. ∴ 180290AOC OCA ∠=︒-∠=︒.∴ 四边形AOHD 为矩形,∠ADH=90︒.…………………………………… 4分 ∴ DH =AO=r .∵ 2r BE =, ∴ 2D BE H=.∵ BE ∥DH , ∴ △CBE ∽△CDH . ∴12CB BE D DH C ==.…………………………………………………………… 5分 25.解:(1)图4…………………………………………………………………………………3分(2)如图5.…………………………………………………………………………5分(3)2.42.……………………………………………………………………………6分26.解:(1)当1m=时,抛物线G的函数表达式为22y x x=+,直线l的函数表达式为y x=.画出的两个函数的图象如图6所示.……………1分2分(2)∵抛物线G:221y mx mx m=++-(m≠0)与y轴交于点C,∴点C的坐标为(0,1)C m-.∵2221(1)1y mx mx m m x=++-=+-,图5图6∴ 抛物线G 的顶点D 的坐标为(1,1)--. 对于直线l :1y mx m =+-(m ≠0), 当0x =时,1y m =-;当1x =-时,(1)11y m m =⨯-+-=-.∴ 无论m 取何值,点C ,D 都在直线l 上.……………………………………4分(3)m 的取值范围是m ≤m ……………………………………… 6分 27.(1)①补全的图形如图7所示.…………………………………………………………1分② ∠NCE =2∠BAM .………………………………………………………………2分 (2)当45°<α<90°时,=1802NCE BAM ∠︒-∠.………………………………………3分 证明:如图8,连接CM ,设射线AM 与CD 的交点为H .∵ 四边形ABCD 为正方形,∴ ∠BAD=∠ADC=∠BCD=90°,直线BD 为正方形ABCD 的对称轴,点A 与点C 关于直线BD 对称. ∵ 射线AM 与线段BD 交于点M , ∴ ∠BAM=∠BCM=α. ∴ ∠1=∠2=90α︒-. ∵ CE ⊥AM ,∴ ∠CEH=90°,∠3+∠5=90°. 又∵∠1+∠4=90°,∠4=∠5, ∴ ∠1=∠3.∴ ∠3=∠2=90α︒-.∵ 点N 与点M 关于直线CE 对称,∴∠NCE=∠MCE=∠2+∠3=1802BAM︒-∠.………………………6分(31.………………………………………………………………………………7分28.解:(11分②是.……………………………………………………………………………2分(2)①如图9,当r =1时,不妨设直线QM与⊙C相切的切点M在x轴上方(切点M在x轴下方时同理),连接CM,则QM⊥CM.∵(1,0)Q-,(1,0)C,r =1,∴2CQ=,1CM=.∴MQ=此时2MQkCQ==3分图7 图②如图10,若直线QM 与⊙C 不相切,设直线QM 与⊙C 的另一个交点为N (不妨设QN <QM ,点N ,M 在x 轴下方时同理). 作CD ⊥QM 于点D ,则MD=ND .∴ ()222MQ NQ MN NQ NQ ND NQ DQ +=++=+=. ∵ 2CQ =, ∴ 2MQ NQ DQk DQ CQ CQ+===.∴ 当k DQ = 此时1CD ==. 假设⊙C 经过点Q ,此时r = 2. ∵ 点Q 在⊙C 外,∴ r 的取值范围是1≤r <2. …………………………………………… 5分(3)b < 7分图9 图10。
2018届北京市西城区中考一模数学试卷含答案解析模板
2018届北京市西城区初三一模数学试卷一、单选题(共10小题)1.2018年春节假期期间,我市接待旅游总人数达到9 186 000人次,比去年同期增长1.9%.将9 186 000用科学计数法表示应为()A.9186×103B.9.186×105C.9.186×106D.9.186×107考点:科学记数法和近似数、有效数字答案:C试题解析:科学记数法是一个数表示成a×10的n次幂的形式,其中1≤|a|<10,n为整数,所以根据题意得9 186 000=9.186×106.故选C.2.如图,实数,,,在数轴上的对应点分别为,,,,这四个数中绝对值最大的数对应的点是()A.点B.点C.点D.点考点:实数大小比较答案:D试题解析:数轴上的数离远点最远的数绝对值最大,由图可得原点在MN之间,所以Q点离远点最远,故选D3.如图,直线,直线EF分别与,交于点,,,且与的平分线交于,若,则的度数是()A.35°B.30°C.25°D.20°考点:平行线的判定及性质答案:A试题解析:由题意得,故选A4.下列几何体中,主视图和俯视图都为矩形的是()A.B.C.D.考点:几何体的三视图答案:B试题解析:由题意可得只有B选项的长方体的三视图都为长方形,故选B5.关于的一元二次方程有两个不相等的实数根,则的取值范围是()A.B.C.D.考点:一元二次方程的根的判别式答案:A试题解析:由题意可得,故选A。
6.老北京的老行当中有一行叫做“抓彩卖糖”:商贩将高丽纸裁成许多小条,用矾水在上面写上糖的块数,最少一块,多的是三块或五块,再将纸条混合一起.游戏时叫儿童随意抽取一张,然后放入小水罐中浸湿,即现出白道儿,按照上面的白道儿数给糖.一个商贩准备了10张质地均匀的纸条,其中能得到一块糖的纸条有5张,能得到三块糖的纸条有3张,能得到五块糖的纸条有2张.从中随机抽取一张纸条,恰好是能得到三块糖的纸条的概率是()A.B.C.D.考点:概率及计算答案:B试题解析:由题意得10张中三块糖的纸条有3张,所以概率为,即选B。
2018年西城语文中学初三一模试卷习题及答案
北京市西城区 2018年九年级一致测试语文试卷考 1.本试卷共 10页,共五道大题, 27道小题。
满分 100分。
考试时间 150分钟。
生2.在试卷和答题卡上正确填写学校名称、班级、姓名和学号。
须3.试题答案一律填涂或书写在答题卡上,在试卷上作答无效。
知4.在答题卡上,选择题用2B 铅笔作答,其余试题用黑色笔迹署名笔作答。
一、基础·运用(共 16分)暮春节气,学校举办“春色作伴好读诗”系列活动。
九年级的同学展开了 “漂亮《诗经》” 专题活动。
有同学查阅资料后,写出对于《诗经》的一段文字,请你参加完美 ,达成1-3题。
中国是一个爱诗的国家, 中国人是一个爱诗的民族。
我们从先人三千多年前留下来的 《诗 经》里,依旧能够找到我们今日所盼望的生活的样子。
三千年前的《诗经》未曾走开过我们。
“青青子衿,悠悠我心。
但为君故,沉吟到现在” , 曹孟德在《短歌行》中对《诗经·郑风·子衿》的化用显得这样自然真切; “招手自兹去, 萧萧班马鸣”,李太白表达离愁别 xù( )的神来之笔,也语出《诗经·小雅·车攻》 。
○1 。
三千年前的《诗经》未曾走开过我们。
商讨研究学识,我们会说“如切如磋,如琢如磨”; 赞叹崇敬道德,我们会说“高峰仰止,景行行止” ;表达想念之情,我们会说“一日不见,如三秋兮”。
2。
○三千年前的《诗经》未曾走开过我们。
“呦呦鹿鸣,食野之苹”,诺贝尔奖得主屠呦呦的名字yuán( )自《诗经·小雅·鹿鸣》;“靡不有初,鲜克有终”,习主席在纪念中国人民抗日战争暨世界反法西斯战争成功 70周年大会上发言的用典出自《诗经·大雅·荡》。
○ 。
3历经三千年沧桑光阴而积淀下来,《诗经》无需唤醒,它向来在。
那些蕴藉风流的句子,.道尽我们没法言说的情素,早已 了我们的血脉, 着我们的面貌, 着我 们的思想,让我们在《诗经》中找寻民族的文化基因,拥抱那最美的诗和远方。
北京市西城区2018年九年级数学一模试卷含答案
2018年北京市西城区初三一模试卷数学3..1.计算:2=( )A.-1 B.-3 C.3 D.52.我市深入实施环境污染整治,某经济开发区的40家化工企业中已关停、整改32家,每年排放的污水减少了167000吨.将167000用科学记数法表示为( )A.316710⨯B.416.710⨯C.51.6710⨯D.60.16710⨯3.已知,如图,AD与BC相交于点O,AB∥CD,如果∠B=20°,∠D=40°,那么∠BOD为( ) A.40°B.50°C.60°D.70°4.因式分解()219x--的结果是( )A.()()24x x+-B.()()81x x++C.()()24x x-+D.()()108x x-+5.如图,是由一些相同的小正方体搭成的几何体的三视图,搭成这个几何体的小正方体的个数有( ) A.2个B.3个C.4个D.6个6.已知抛一枚均匀硬币正面朝上的概率为12,下列说法正确的是( )A.连续抛一枚均匀硬币2次必有1次正面朝上B.连续抛一枚均匀硬币10次都可能正面朝上C.大量反复抛一枚均匀硬币,平均每100次出现下面朝上50次D.通过抛一枚均匀硬币确定谁先发球的比赛规则是公平的7.如图,AB是⊙O的直径,AB=4,AC是弦,AC=AOC为( )A.120°B.130°C.140° D.150°8.如图,在△ABC中,∠ACB=90°,AC=BC=2.E、F分别是射线AC、CB上的动点,且AE=BF,EF与AB交于点G,EH⊥AB于点H,设AE=x,GH=y,下面能够反映y与x之间函数关系的图象是( )ACBO二、填空题(本题共16分,每小题4分)9.函数y=__________.10.如图,点P在双曲线(0)ky kx=≠上,点(12)P',与点P关于y轴对称,则此双曲线的解析式为.11.如图,在平面直角坐标系中,等边三角形ABC的顶点B,C的坐标分别为(1,0),(3,条直线分别与边AB,AC交于点M,N,若OM=MN,则点M的坐标为______________.12.如图,点A1,A2,A3,A4,…,A n在射线OA上,点B1,B2,B3,…,B n―1在射线OB上,且A1B1∥A2B2∥A3B3∥…∥A n―1B n―1,A2B1∥A3B2∥A4B3∥…∥A n B n―1,△A1A2B1,△A2A3B2,…,△A n―1A nB n―1为阴影三角形,若△A2B1B2,△A3B2B3的面积分别为1、4,则△A1A2B1的面积为__________;面积小于2011的阴影三角形共有__________个.三、解答题(本题共30分,每小题5分)13.计算:1024sin60(-︒-.14.(1)解不等式:112x x>+;(2)解方程组20328x yx y-=⎧⎨+=⎩2),O1 2 3 4 515.已知:如图,A 点坐标为302⎛⎫- ⎪⎝⎭,,B 点坐标为()03,. (1)求过A B ,两点的直线解析式; (2)过B 点作直线BP 与x 轴交于点P ,且使2OP OA =,求ABP ∆的面积.x16.如图,分别以Rt △ABC 的直角边AC 及斜边AB 向外作等边△ACD 、等边△ABE .已知∠BAC =30º,EF ⊥AB ,垂足为F ,连结DF . (1)求证:AC =EF ;(2)求证:四边形ADFE 是平行四边形.17.先化简:2313(1)2349223x x x x ÷⋅++--;若结果等于23,求出相应x 的值.18.在某市举办的“读好书,讲礼仪”活动中,东华学校积极行动,各班图书角的新书、好书不断增多,除学校购买外,还有师生捐献的图书.下面是七年级(1)班全体同学捐献图书的情况统计图:请你根据以上统计图中的信息,解答下列问题:(1)该班有学生多少人?(2)补全条形统计图;(3)七(1)班全体同学所捐献图书的中位数和众数分别是多少?A BCDEF四、解答题(本题共20分,每小题5分) 19.某批发商以每件50元的价格购进800件T 恤.第一个月以单价80元销售,售出了200件;第二个月如果单价不变,预计仍可售出200件,批发商为增加销售量,决定降价销售,根据市场调查,单价每降低1元,可多售出10件,但最低单位应高于购进的价格;第二个月结束后,批发商将对剩余的T 恤一次性清仓销售,清仓时单价为40元.设第二个月单价降低x 元. (1)填表(不需要化简)时间 第一个月 第二个月 清仓时 单价(元) 80 ▲ 40 销售量(件) 200 ▲ ▲(2)如果批发商希望通过销售这批T 恤获利9000元,那么第二个月的单价应是多少元?20.如图,等腰梯形ABCD 中,AD ∥BC ,AD =AB =CD =2,∠C =60°,M 是BC 的中点. (1)求证:△MDC 是等边三角形;(2)将△MDC 绕点M 旋转,当MD (即MD ′)与AB 交于一点E ,MC (即MC ′)同时与AD 交于一点F 时,点E ,F 和点A构成△AEF .试探究△AEF 的周长是否存在最小值.如果不存在,请说明理由;如果存在,请计算出△AEF 周长的最小值.C'CBM21.如图,已知ABC △,以BC 为直径,O 为圆心的半圆交AC 于点F ,点E 为弧CF 的中点,连接BE 交AC 于点M ,AD 为△ABC 的角平分线,且AD BE ⊥,垂足为点H . (1)求证:AB 是半圆O 的切线;(2)若3AB =,4BC =,求BE 的长.22.已知:如图1,矩形ABCD 中,AB =6,BC =8,E 、F 、G 、H 分别是AB 、BC 、CD 、DA 四条边上的点(且不与各边顶点重合),设m =AB +BC +CD +DA ,探索m 的取值范围.(1)如图2,当E 、F 、G 、H 分别是AB 、BC 、CD 、DA 四边中点时,m =________.(2)为了解决这个问题,小贝同学采用轴对称的方法,如图3,将整个图形以CD 为对称轴翻折,接着再连续翻折两次,从而找到解决问题的途径,求得m 的取值范围.①请在图1中补全小贝同学翻折后的图形;②m 的取值范围是__________.H GF ECDBA 图1图2H GF E CD BA 图3ABDCE FGH五、解答题(本题共22分,第23题7分,第24题7分,第25题8分)23.已知一元二次方程x 2+ax +a -2=0.(1)求证:不论a 为何实数,此方程总有两个不相等的实数根;(2)设a <0,当二次函数y =x 2+ax +a -2的图象与x(3)在(2)的条件下,若此二次函数图象与x 轴交于A 、B 两点,在函数图象上是否存在点P ,使得△PAB 的面积,若存在求出P 点坐标,若不存在请说明理由.A AA24.如图,在△ABC 中,点D 是BC 上一点,∠B =∠DAC =45°.(1)如图1,当∠C =45°时,请写出图中一对相等的线段;_________________ (2)如图2,若BD =2,BAAD 的长及△ACD 的面积.图1CD BA图2AB D C25.巳知二次函数y =a (x 2-6x +8)(a >0)的图象与x 轴分别交于点A 、B ,与y 轴交于点C .点D 是抛物线的顶点. (1)如图①.连接AC ,将△OAC 沿直线AC 翻折,若点O 的对应点0'恰好落在该抛物线的对称轴上,求实数a 的值;(2)如图②,在正方形EFGH 中,点E 、F 的坐标分别是(4,4)、(4,3),边HG 位于边EF 的右侧.小林同学经过探索后发现了一个正确的命题:“若点P 是边EH 或边HG 上的任意一点,则四条线段PA 、PB 、PC 、PD 不能与任何一个平行四边形的四条边对应相等(即这四条线段不能构成平行四边形).“若点P 是边EF 或边FG 上的任意一点,刚才的结论是否也成立?请你积极探索,并写出探索过程;(3)如图②,当点P 在抛物线对称轴上时,设点P 的纵坐标l 是大于3的常数,试问:是否存在一个正数a ,使得四条线段PA 、PB 、PC 、PD 与一个平行四边形的四条边对应相等(即这四条线段能构成平行四边形)?请说明理由.2018年北京市西城区初三一模试卷参考答案1.A .2.C .3.C .4.A .5.C .6.A .7.A .8.C .9.x ≥3.10.2y x -=.11.(5 4 ,3 4 )12.12;6.13.解:原式=1412+-=12-.14.(1)解:112x x ->,112x >,所以2x >. (2)21x y =⎧⎨=⎩15.(1)23y x =+;(2)设P 点坐标为()0x ,,依题意得3x =±,所以P 点坐标分别为()()123030P P -,,,. 1132733224ABP S ∆⎛⎫=⨯+⨯= ⎪⎝⎭,213933224ABP S ∆⎛⎫=⨯-⨯= ⎪⎝⎭,所以ABP ∆的面积为274或94. 17.原式=(23)(23)1233)233223x x x x x x +--+⋅⋅⋅+-=23x ;由23x =23,可,解得x19.(1)80-x ,200+10x ,800-200-(200+10x );(2)根据题意,得80×200+(80-x )(200+10x )+40[800-200-(200+10x )]-50×800=9000.整理,得x 2-20x +100=0,解这个方程得x 1=x 2=10, 当x =10时,80-x =70>50. 答:第二个月的单价应是70元. 20.解:(1)证明:过点D 作DP ⊥BC ,于点P ,过点A 作AQ ⊥BC 于点Q ,PQCMB∵∠C =∠B =60°∴CP =BQ =12AB ,CP +BQ =AB ,又∵ADPQ 是矩形,AD =PQ , 故BC =2AD ,由已知,点M 是BC 的中点, BM =CM =AD =AB =CD ,即△MDC 中,CM =CD ,∠C =60°, 故△MDC 是等边三角形.(2)解:△AEF 的周长存在最小值,理由如下: 连接AM ,由(1)平行四边形ABMD 是菱形, △MAB ,△MAD 和△MC ′D ′是等边三角形,∠BMA =∠BME +∠AME =60°,∠EMF =∠AMF +∠AME =60°, ∴∠BME =∠AMF ,在△BME 与△AMF 中,BM =AM ,∠EBM =∠FAM =60°, ∴△BME ≌△AMF (ASA ),∴BE =AF ,ME =MF ,AE +AF =AE +BE =AB ,∵∠EMF =∠DMC =60°,故△EMF 是等边三角形,EF =MF , ∵MF 的最小值为点M 到AD 的距离错误!未找到引用源。
北京市西城区2018年中考一模数学试题(含答案)
北京市西城区2018年九年级统一测试数学试卷一、选择题(本题共16分,每小题2分)第1-8题均有四个选项,符合题意的选项只有一个.1.在国家大数据战略的引领下,我国在人工智能领域取得显著成就,自主研发的人工智能“绝艺”获得全球最前沿的人工智能赛事冠军,这得益于所建立的大数据中心的规模和数据存储量,它们决定着人工智能深度学习的质量和速度,其中的一个大数据中心能存储58000000000本书籍,将58000000000用科学记数法表示应为( ). A .105.810⨯B .115.810⨯C .95810⨯D .110.5810⨯2.在中国集邮总公司设计的2017年纪特邮票首日纪念戳图案中,可以看作中心对称图形的是( ).A .B .C .D .3.将34b b -分解因式,所得结果正确的是( ). A .2(4)b b -B .2(4)b b -C .2(2)b b -D .(2)(2)b b b +-4.如图是某个几何体的三视图,该几何体是( ). A .三棱柱 B .圆柱 C .六棱柱 D .圆锥千里江山图京津冀协同发展内蒙古自治区成立七十周年河北雄安新区建立纪念俯视图左视图主视图5.若实数a ,b ,c ,d 在数轴上的对应点的位置如图所示,则正确的结论是( ). A .5a <- B .0b d +< C .0a c -< D.c <6.如果一个正多边形的内角和等于720︒,那么该正多边形的一个外角等于( ). A .45︒B .60︒C .72︒D .90︒7.空气质量指数(简称为AQI )是定量描述空气质量状况的指数,它的类别如下表所示.某同学查阅资料,制作了近五年1月份北京市AQI 各类别天数的统计图如下图所示.根据以上信息,下列推断不合理的是A.AQI 类别为“优”的天数最多的是2018年1月 B .AQI 数据在0~100之间的天数最少的是2014年1月C .这五年的1月里,6个AQI 类别中,类别“优”的天数波动最大D .2018年1月的AQI 数据的月均值会达到“中度污染”类别优良轻度污染中度污染重度污染严重污染1月1月1月1月1月8.将A ,B 两位篮球运动员在一段时间内的投篮情况记录如下:下面有三个推断:①投篮30次时,两位运动员都投中23次,所以他们投中的概率都是0.767.②随着投篮次数的增加,A 运动员投中频率总在0.750附近摆动,显示出一定的稳定性,可以估计A 运动员投中的概率是0.750.④投篮达到200次时,B 运动员投中次数一定为160次. 其中合理的是( ). A .①B .②C .①③D .②③二、填空题(本题共16分,每小题2分) 9.若代数式11x x -+的值为0,则实数x 的值为__________. 10.化简:()()42(1)a a a a +--+=__________.11.如图,在ABC △中,DE AB ∥,DE 分别与AC ,BC 交于D ,E 两点. 若49DEC ABC S S =△△,3AC =,则DC =__________.12.从杭州东站到北京南站,原来最快的一趟高铁G20次约用5h 到达.从2018年4月10日起,全国铁路开始实施新的列车运行图,并启用了“杭京高铁复兴号”,它的运行速度比原来的G20次的运行速度快35km/h ,约用4.5h 到达。
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2017年北京市西城一模考试 数学试卷一、选择题(本题共30分,每小题3分)下面各题均有四个选项,其中只有一个..是.符合题意的. 1.春节假期,北京市推出了庙会休闲娱乐、传统文化展演、游园赏景赏花、冰雪项目体验等精品文化活动,共接待旅游总人数9 608 000人次,将9 608 000用科学记数法表示为 (A )3960810⨯ (B )4960.810⨯ (C )596.0810⨯ (D )69.60810⨯2.在数轴上,实数a ,b 对应的点的位置如图所示,且这两个点关于原点对称,下列结论中,正确的是(A )0a b += (B )0a b -=(C )a b <(D )0ab >3.如图,AB ∥CD ,DA ⊥CE 于点A .若∠EAB =55°,则∠D 的度数为 (A )25°(B )35° (C )45° (D )55°第3题图 第4题图4.右图是某几何体的三视图,该几何体是(A )三棱柱 (B )长方体 (C )圆锥(D )圆柱5.若正多边形的一个外角是40°,则这个正多边形是 (A )正七边形 (B )正八边形(C )正九边形(D )正十边形6.用配方法解一元二次方程2650x x --=,此方程可化为(A )()234x -= (B )()2314x -= (C )()294x -=(D )()2914x -=7.如图,小明在地面上放了一个平面镜,选择合适的位置,刚好在平面镜中看到旗杆的顶部,此时小明与平面镜的水平距离为2m ,旗杆底部与平面镜的水平距离为16m .若小明的眼睛与地面距离为1.5m ,则旗杆的高度为(单位:m )(A )163(B )9 (C )12 (D )6438.某商店举行促销活动,其促销的方式是“消费超过100元时,所购买的商品按原价打8折后,再减少20元” .若某商品的原价为x 元(x >100),则购买该商品实际付款的金额(单位:元)是(A )80%20x - (B )()80%20x -(C )20%20x - (D )()20%20x -9.某校合唱团有30名成员,下表是合唱团成员的年龄分布统计表:(A )平均数、中位数 (B )平均数、方差 (C )众数、中位数(D )众数、方差10.汽车的“燃油效率”是指汽车每消耗1升汽油行驶的里程数.“燃油效率”越高表示汽车每消耗1升汽油行驶的里程数越多;“燃油效率”越低表示汽车每消耗1升汽油行驶的里程数越少.右下图描述了甲、乙、丙三辆汽车在不同速度下的燃油效率情况,下列说法中,正确的是(A )以相同速度行驶相同路程,三辆车中,甲车消耗汽油最多(B )以低于80km /h 的速度行驶时,行驶相同路程,三辆车中,乙车消耗汽油最少 (C )以高于80km /h 的速度行驶时,行驶相同路程,丙车比乙车省油 (D )以80km /h 的速度行驶时,行驶100公里,甲车消耗的汽油量约为10升 二、填空题(本题共18分,每小题3分)11.分解因式:ax 2-2ax +a =________.12.若函数的图像经过点A (1,2),点B (2,1),写出一个符合条件的函数表达式_________. 13.下表记录了一名球员在罚球线上罚篮的结果:这名球员投篮一次,投中的概率约是 .14.如图,四边形ABCD 是⊙O 内接四边形,若∠BAC =30°,∠CBD =80°,则∠BCD 的度数为_________________.第14题图 第15题15.在平面直角坐标系xOy 中,以原点O 为旋转中心,将△AOB 顺时针旋转90°得到△A'OB',其中点A'与点A 对应,点B'与点B 对应.若点A (-3,0),B (-1,2),则点A'的坐标为_______________,点B'的坐标为________________. 16.下面是“经过已知直线外一点作这条直线的平行线”的尺规作图过程.请回答:该作图的依据是.三、解答题(本题共72分,第17-26题,每小题5分,第27题7分,第28题7分,第29题8分)解答应写出文字说明、演算步骤或证明过程.17.计算:(1O122602 2sin-⎛⎫--⎪⎝⎭18.解不等式组:52<3+47 22x xxx-⎧⎪⎨+≥⎪⎩19.已知x=2y,求代数式222112x xy yy x x y⎛⎫-+-÷⎪⎝⎭的值.20.如图,在△ABC中,BC的垂直平分线交BC于点D,交AB延长线于点E,连接CE. 求证:∠BCE=∠A+∠ACB.21.某科研小组计划对某一品种的西瓜采用两种种植技术种植.在选择种植技术时,该科研小组主要关心的问题是:西瓜的产量和产量的稳定性,以及西瓜的优等品率. 为了解这两种种植技术种出的西瓜的质量情况,科研小组在两块自然条件相同的试验田进行对比试验,并从这两块实验田中各随机抽取20个西瓜,分别称重后,将称重的结果记录如下:表1 甲种种植技术种出的西瓜质量统计表(1)若将质量为4.5~5.5(单位:kg)的西瓜记为优等品,完成下表:(2)根据以上数据,你认为该科研小组应选择哪种种植技术,并请说明理由.22.在平面直角坐标系x O y,直线y=x-1与y轴交于点A,与双曲线=kyx交于点B(m,2). (1)求点B的坐标及k的值;(2)将直线AB平移,使它与x轴交于点C,与y轴交于点D,若△ABC的面积为6,求直线CD的表达式.23.如图,在□ABCD 中,对角线BD 平分∠ABC ,过点A 作AE //BD ,交CD 的延长线于点E ,过点E 作EF ⊥BC ,交BC 延长线于点F . (1)求证:四边形ABCD 是菱形; (2)若∠ABC =45°,BC =2,求EF 的长.24. 汽车保有量是指一个地区拥有车辆的数量,一般是指在当地登记的车辆.进入21世纪以来,我国汽车保有量逐年增长.下图是根据中国产业信息网上的有关数据整理的统计图.2007—2015年全国汽车保有量及增速统计图B根据以上信息,回答下列问题:(1)2016年汽车保有量净增2200万辆,为历史最高水平,2016年汽车的保有量为万辆,与2015年相比,2016年的增长率约为 %; (2)从2008年到2015年, 年全国汽车保有量增速最快;(3)预估2020年我国汽车保有量将达到 万辆,预估理由是25.如图,AB 为⊙O 的直径,C 为⊙O 上一点,过点C 作⊙O 的切线,交BA 的延长线交于点D ,过点B 作BE ⊥BA ,交DC 延长线于点E ,连接OE ,交⊙O 于点F,交BC于点H,连接AC.(1)求证:∠ECB=∠EBC;(2)连接BF,CF,若CF=6,sin∠FCB=35,求AC的长.26.阅读下列材料:某种型号的温控水箱的工作过程是:接通电源后,在初始温度20℃下加热水箱中的水;当水温达到设定温度80℃时,加热停止;此后水箱中的水温开始逐渐下降,当下降到20℃时,再次自动加热水箱中的水至80℃ 时,加热停止;当水箱中的水温下降到20℃时,再次自动加热,……,按照以上方式不断循环. 小明根据学习函数的经验,对该型号温控水箱中的水温随时间变化的规律进行了探究.发现水温y 是时间x 的函数,其中y (单位:℃ )表示水箱中水的温度.x (单位:min )表示接通电源后的时间.下面是小明的探究过程,请补充完整:(1)下表记录了32min 内14个时间点的温控水箱中水的温度y 随时间x 的变化情况m 的值为 ;(2)①当0≤x ≤4时,写出一个符合表中数据的函数解析式 ; 当4<x ≤16时,写出一个符合表中数据的函数解析式;②如图,在平面直角坐标系xOy 中,描出了上表中部分数据对应的点,根据描出的点,画出当0≤x ≤32时,温度y 随时间x 变化的函数图象:(3) 如果水温y 随时间x 的变化规律不变,预测水温第8次达到40℃时,距离接通电源min .27.在平面直角坐标系xOy 中,二次函数y =mx 2 -(2m + 1)x + m -5的图象与x 轴有两个公共点.(1)求m 的取值范围;(2)若m取满足条件的最小的整数,①写出这个二次函数的解析式;②当n ≤ x ≤ 1时,函数值y的取值范围是-6 ≤ y ≤ 4-n,求n的值;③将此二次函数平移,使平移后的图象经过原点O.设平移后的图象对应的函数表达式为y=a(x-h)2 + k,当x < 2时,y随x的增大而减小,求k的取值范围.28.在△ABC中,AB=BC,BD⊥AC于点D.(1)如图1,当∠ABC=90°时,若CE平分∠ACB,交AB于点E,交BD于点F.①求证:△BEF是等腰三角形;②求证:BD=12(BC + BF);(2)点E 在AB 边上,连接CE .若BD =12(BC + BE ),在图2中补全图形,判断∠ACE 与∠ABC 之间的数量关系,写出你的结论,并写出求解∠ACE 与∠ABC 关系的思路.29.在平面直角坐标系xOy 中,若点P 和点P 1关于y 轴对称,点P 1和点P 2关于直线l 对称,则称点P 2是点P 关于y 轴,直线l 的二次对称点. (1)如图1,点A (-1 , 0).①若点B 是点A 关于y 轴,直线l 1: x =2的二次对称点,则点B 的坐标为 ; ②若点C (-5 , 0)是点A 关于y 轴,直线l 2:x =a 的二次对称点,则a 的值为 ;图2图1D FEDCB AACB③若点D (2 , 1)是点A 关于y 轴,直线l 3的二次对称点,则直线l 3的表达式为 ;(2)如图2,⊙O 的半径为1.若⊙O 上存在点M ,使得点M '是点M 关于y 轴,直线l 4:x =b 的二次对称点,且点M '在射线(3)E (t ,0)是x 轴上的动点,⊙E 的半径为2,若⊙E 上存在点N ,使得点N '是点N 关于y 轴,直线l 5:的二次对称点,且点N '在y 轴上,求t 的取值范围.(0)3y x x =≥1y =+图1图2。