7.去分母，得x=2x-4+a,解得x=4-a.由题意，得4-a>0,且4-a≠2.解得a

Come and enjoy the amazing snowscape of the Changbai Mountains 56 (border)the DPRK(朝鲜民主共和国).Thick snow 57(turm)the area into a fairyland recently,covering themountains with a layer of silver.Changbai Mountains mean "Forever-White Mountains"in Chinese 58 its top is coveredwith snow all year round.It is considered 59 ski paradise and one of the best areas 60(enjoy)snow scenery in China.The Heavenly Lake 61 (locate)on Changbai Mountains is at 2,189 meters above sea level.It is a crater with multiple volcanic eruptions 12 million years ago.62(fortunate),the volcanohas remained silent since 1702.During the winter,the lake will freeze.You can admire the grandmountain-crater ice kingdom with snowy peaks 63 stand guard all around.The weather at Changbai Mountains is 64 (predict).It's the luck of the draw whether yousee anything as the lake is visible only about 100 days 65 the year.第四部分写作（共两节，满分40分)第一节（满分15分)假定你是某国际学校学生会主席李华，负责组织学校下个月即将开幕的英语节。请你向学校国际部负责人Mr.Wilso写封邮件，请他推荐一位合适的学生在开幕式上致辞。内容如下：1.写信目的：2.推荐要求；3.期待与感谢。注意：1.词数80左右；2.可适当增加细节，以使行文连贯。第二节（满分25分)阅读下面材料，根据其内容和所给段落开头语续写两段，使之构成一篇完整的短文。I grew up and started my school career in Haiti.Teachers in Haiti were well known for certain skills:some for their ability to scare you with just a look,and others for their consistency in beating kids.Our fear pushed us to learn whatever we're assigned,whether it was memorizing a passage orsolving a math problem,so in a way,the teachers were effective.I was able to remember a lot,and as akid I never sat back and wondered if the education I was getting was good enough.But looking back,I see that I never grew mentally in that school.They didn't teach us to thinkbroadly or be creative.Instead,my classmates and I were taught what we needed to know to surviveinside a classroom,but not the things that would help me survive in the real world.When I came to the United States,I didn't know what to expect.On my first day of school,I metmy new teacher,Mr.Jean Pierre,who was Haitian..He greeted me with Creole(克里奥尔语).It meantthat we were equals.On my first day in his class,I couldn't even read the English title of the textbook he handed me.ButI learned so quickly that by my third week,I understood most questions and was even raising my hand.He also had us learn 10 to 20 vocabulary words each day.For each word we had to memorize howto spell it and pronounce it and create a sentence with it.At first,I hated this method because I wasn'tused to having to be creative in any way.But gradually,he helped me fall in love with creative writing.Every morning,we'd have 30 minutes to write about anything that came to mind.I discovered I wasgood at this,and he was the first teacher ever to put in time aside from his regular schedule for me,staying during lunch or after school to help me and another student who loved writing.注意：1.续写词数应为150左右；2.请按如下格式在答题卡的相应位置作答。Paragraph 1Through actions like these,Mr.Jean Pierre showed me that he truly cared about me as a person andwasn't just interested in doing his job and getting paid.Paragraph 2But he was also the kind ofteacher who taught us how to survive in life.高三英语学科试题第8页共8页

所以B)=ED,∠AD=∠AB)=2∠C因为∠AED=∠C+∠EDC,所以∠EDC=∠C.所以ED=EC.所以BD=EC所以AC=AE+C=AB+BI).(2)BE=DC+EC.在EB上戟取EF,使得EF=DC,连接AF因为EA=ED,所以/EAD=/E)A,所以2∠DAE+∠AED=180%因为上1)A5+∠B=90,所以2∠DAE+2/B=180°所以∠AED=2∠B=∠CG因为∠B)=∠AB+∠AE)=∠CID+∠C.所以∠AEB=∠CDEEF=DC.在△AEF和△EDC中，∠AEF=∠EDC,AE=ED.所以△AEF≌△EDC(SAS).所以AF=EC,∠AFE=∠C=2∠B.因为LAFE=∠B+∠BAF,所以∠B=∠BAF.所以BF=AF,所以B=C所以BE=EF+BF=DC+EC

11.What was the woman most interested in about the house?A.The old paintings.B.The decoration style.C.The previous house owners.12.What does the man expect the house to be?A.A holiday home.B.A hotel.C.A museum.听第9段材料，回答第13至16题。在13.Why does the man ask Mrs.Bromley to come?A.To check Billy's homework.B.To talk about Billy's exam results.写C.To discuss Billy's changed behavior14.What relation is David to Billy?A.His father.B.His brotherC.His teacher.纸15.What might be Billy's problem?A.He lacks sleep.B.He dislikes reading.C.He has few friends16.How does the man feel about finding a solution to Billy's problem?A.AnxiousB.Confused.C.Optimistic.听第10段材料，回答第17至20题。17.What was the speaker's father?A.A bank clerk.B.A fruit seller..·C.A lawyer.18.What did the speaker do after he sold his shoe business?A.He had holidays..、B.He started farming.C.He moved to a village.19.How long has the speaker been financing charitable projects?A.For two years.B.For five years.、C.For seven years20.What was the speaker's first finished project about?A.Building a hospital.B.Opening a school.C.Improving water quality.第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项。AToday everyone has one mobile,with more than 95%of teens having a smartphone.While someonline platforms can have great social benefits for youngsters,they can have negative social mediaeffects on teens.So parents need to be aware of which apps and platforms their children use.Here aresome popular social media apps for teenagers.SnapchatThis social media platform has tons of features for teenagers to enjoy.You can take photos with avariety of lenses ()stickers,funny faces,and more.Post stories of what you are doing andsend text or picture messages to friends,or even call them using the app.InstagramFacebook may have ruled social photo sharing on the web,but Instagram rules over it on mobiledevices.The app lets users take pictures and videos,so they can share them with friends.There is题·单元月结提升卷英语（八）第2页（共8页）

重庆市高二英语试题参考答案听力部分录音材料听力部分。该部分分为第一、第二两节。注意：做题时，先将答案标在试卷上。录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。停顿00'10”现在是听力试音时间。M:Hello.International Friends Club.Can I help you?W:Oh,hello.I read about your club in the paper today and I thought I'd phone to find out a bit more.M:Yes,certainly.Well,we are a sort of social club for people from different countries.It's quite a new club-we have about 50 members at the moment,but we are growing all the time.W:That sounds interesting.I'm British actually,and I came to Washington about three months ago.I'm lookingfor ways to meet people.Er,what kinds of events do you organize?M:Well,we have social get-togethers,and sports events,and we also have language evenings.W:Could you tell me something about the language evenings?M:Yes.Every day except Thursday we have a language evening.People can come and practice theirlanguages-you know,over a drink or something.We have different languages on different evenings.Mon-day-Spanish;Tuesday-Italian;Wednesday-German;and Friday-French.On Thursday we usually havea meal in a restaurant for anyone who wants to come.W:Well,that sounds great.I really need to practice my French.M:OK.Well,if you can just give me your name and address,I'll send you the form and some more informa-tion.If you join now you can have the first month free.试音到此结束。听力考试正式开始。停顿00'10”请看听力部分第一节。第一节听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。停顿00'02”例如：现在你有5秒钟的时间看试卷上的例题。停顿00'05你将听到以下内容：M:Excuse me.Can you tell me how much the shirt is?W:Yes,it's nine fifteen.停顿00'02你将有5秒钟的时间将正确答案标在试卷上。停顿00'05”衬衫的价格为9镑15便士，所以你选择C项，并将其标在试卷上。现在，你有5秒钟的时间阅读第1小题的有关内容。停顿00'05”【高二英语·参考答案第1页（共4页）】·23-158B·

五、22.(1)因为4B=1C,∠B1C=90°，所以∠ABC=45因为△ACD是等边三角形，所以AC=AD,∠CA1)=60P所以AB=AD,∠BAD=150所以∠ABD=∠ADB=15c.所以∠DBG=∠ABC-∠ABD=30.所以在Rt△EBⅡ中，BE=2EL.(2)在ED上.截取EF=AE,连接AF因为L1EF=∠BEH=90°-∠DBC=60°，所以△AF是等边三角形所以AE=AF,∠AEF=∠AFE,∠AEB=∠AFD,因为∠AB)=∠ADB,所以△AEB≌△AFD(AAS).所以B龙=).所以BE+AE=FD+EF=ED.23.(1)BD,CE,DE之间的数量关系是：BD+CE DE(2)(1)中的数量关系BD+CE=DE仍然成立.证明：在△ABD中，∠B=180°-（∠BDA+∠BAD).因为∠EMC=180°-（∠BAC+∠BAD),∠BDA=∠BAC,所以∠B=∠EAC因为∠BDA=∠AEC=,AB=AC所以△AIDB≌△CA(AAS).所以BD=AE,AD=CE所以DE=AE+A1)=BD+CE(3)连接BF.因为∠BAC=120,AF分∠BAC,所以∠FAB=∠CAF=60.因为AB=AF,所以△ABF是等边三角形.所以BF=AF,∠BFA=∠ABF=60°I(2),可知△ADB≌△CEA所以BD=AE,∠ABD=∠CAE,所以∠AB)+∠ABF'=∠CAR+∠CAF,即∠DBF=∠EAF所以△DBF'≌△EA'(SAS)所以DF=EF,∠BFD=∠AFE.所以∠1DE=∠1DA+∠AFE=∠1DA+∠BD=∠BFA=60°.听以△DEF是等边三角形

theatre-like experience at home on a Sunday and gather everyone in thekidsto wateipformative film about environmental issues or climateve slironm43.A.HonestlyB.FinallyC.UsuallyD.Naturally44.A.rescuedB.protectedC.contactedD.persuadedes re45.A.neededB.preparedC.donatedD.investigatedabo46.A.beganB.promisedC.pretendedD.rememberedawa47.A.recordedB.receivedC.removedD.recovereduld48.A.transportedB.admittedC.returnedD.introduced余运用(49.A.hesitantB.occupiedC.pleasedD.nervous每小50.A.departmentB.beachC.centerD.house的51.A.wishesB.picturesC.wavesD.chances短文52.A.scheduleB.wayC.commentD.approvalO1li53.A.rareB.simpleC.positiveD.awesomespla酸54.A.arrangementsB.tricksC.problemsD.performances55.A.ledB.calledC.treatedD.pursuedm如56.A.goB.askC.stayD.stopgra57.A.startingB.doingC.studyingD.communicating酃58.A.knowledgeB.invitationC.understandingD.company59.A.researchingB.imaginingC.discussingD.smiling长60.A.take outB.give awayC.ask forD.think of第二节（共10小题；每小题1.5分，满分15分）阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。People have been trying to combine cars and planes for a long time.The model 61(build)in the 1940s.The trouble is that it has never been really 62 (practice),but nowthings could be about to change.翰Andy Wall,the sales 63 (direct)of PAL-V,said,"We are now at the very last stageof processing the regulations within permission 64 flight with this vehicle.So it's gettingto期very close.”anyThe PAL-V Liberty is made by the Dutch company which is nearing the end of the longprocess to get everything 65 (approve).The question is who is going to buy one.Well,the company has already got lots of orders.Marco van den Bosch,an officer of PAL-V said,"This is the fastest way to become 66 pilot.There is always a small James Bond seat inthe heart of every person,and that's 67 our selling point lies."It takes less than ten 68(minute)to turn it from a plane to a car.You could land itat any airfield and then drive home.If you want to buy one of these,it's going to cost you300,000 euros.It sounds a lot,but it's 69(possible)a bargain if you want to be at theforefront of a technological revolution.There have been many false starts in bringing a 70 (fly)car to market.Next year,they believe,is when you may see one driving along a street near you.【高三英语第9页（共10页）】·23-214C·

W:Thank you.I have to give a presentation about the design.I've got detailed drawings and a500-word paper on it,but I am not sure what material is suitable for a model of the machine.M:I see.(Text 8)W:It's Michael's twenty-fifth birthday next week.I'd like to invite him to a restaurant he hasn't beento yet.Could you recommend anywhere?M:Actually,yes.There is a great Bulgarian restaurant near where I live.W:Bulgarian?I don't think I've ever tried Bulgarian food.M:Well,it's really good.It's a bit like Greek food-lots of vegetables,olive oil,very good cheese.There is also a fantastic salad,which is made of fresh vegetables with a very special kind of cheese.W:That sounds lovely,but Michael likes meat as well.M:Oh,they do serve meat too,very good roast meat and fish,and for dessert they've got cakes thatare a bit like Turkish ones.W:I like Turkish ones！M:But that's sweet and rich in fat.I can feel myself putting on weight already.(Text 9)M:Hey,what're you watching on TikTok?W:A video made by an Australian man.He speaks either in English or in Chinese.His words makeme laugh all the time.The video is so hot that it is liked by millions of people.M:Really?What does he say?W:He works as an English teacher in China.He has lived here for over 10 years.When he returns tohis hometown,he finds life is difficult.He misses China a lot.M:Why is that?W:He has got used to Chinese lifestyle.It is inconvenient in Australia.If he doesn't drive in China,he can ride a bike,take a bus or take the subway.He can get anywhere easily.However,in Australia,itis necessary to own a private car.This is the main problem.M:That's true.Anything else?W:The weather is quite different too.Besides,when he is hungry at night,he can order take-outfood,but in Australia,he has to go to the supermarket.Usually,it is very far.M:Wow!I think we're lucky to live in China.W:Of course!Well,we'd better finish the rest of the work early.(Text 10)During the Second World War,it was very difficult for ordinary people to travel by plane,because theseats were needed for important government and army people.Mr.Brown worked for the government duringthe war.He acted as an ordinary cook in a cafeteria but in fact he was doing very secret work.No one wasallowed to know how important he was except a few very top people.One day,Mr.Brown had to fly toLondon to make a report to some important people in the government and army.He had an order for aseat in a plane.But when Mr.Brown was about to get on the plane,an important army officer came tothe airport at the last minute,and Mr.Brown's seat was given to the officer.Mr.Brown had to wait forthe next plane which was to fly to London two days later.It was not until he reached London that thehigh ranking officer discovered that the man whose seat he had taken was the very one whose report hehad flown to the city to listen to.英语参考答案第40页

注意：1.词数80左右；2.可以适当增加细节，以使行文连贯。第二节（满分25分）阅读下面材料，根据其内容和所给段落开头语续写两段，使之构成一篇完整的短文。Our car ran over the sand and rocks,leaving a cloud of dust.It was a beautiful springday.The sun was bright and the sky was clear-perfect conditions for off-roading().Back then,in 1984,my wife Sue and I were living in southeastern California.The viewswere wonderful,but with dangers.The temperatures could rise above 50C,and it was noplace for tourists to go off-roading without enough preparation.Sue and I always took a bag with us,packed with snacks,water,and a first aid kit.Wealso had a car specially changed for driving in the desert.With it,we could go anywhere a jeepcould go.That day,we drove about 20 miles into the park.Around midday,we stopped to have arest.As usual,we could see the desert before us.When the spirit of adventure moved us,wewent back into the car.But when I turned the key nothing happened.I tried again and again.Nothing happened.I could see Sue was thinking the same thing-the engine wouldn't start.Our car had one strange problem.About once a year,it would refuse to start.If leftovernight,the engine would run just fine the next morning.But no one could find anythingwrong with our car.Because it happened so rarely,we'd just learned to live with it.But it hadnever happened suddenly."What should we do?"I felt a little anxious.I hadn't seen a person on our drive out here,and we had no way to call for help."We could walk back to town,"Sue said.Eager not towaste any more daylight,we quickly packed our things.We were about to set off when Suecalled my name."Look!"she cried.Sure enough,there was something,getting closer.注意：1.续写词数应为150左右；2.请按如下格式在答题卡的相应位置作答。It wasn't long before I could make out what it was-a jeep!He checked the engine and said,"I know what's wrong.【高三第一次模拟考试英语卷第8页（共8页）】3232C

方差是×(6-8)2+(8-8)2×3+(10方面的能力，21.(1)甲运动员这10次跳水成绩组成数据的8)2=1.6.因为广宇的方差小丁于承义的方差所以)广宇的训练成绩比承义的训练成绩更加均数m=0×(82×2+83×2+84+85+稳定，故选项A、B、C错误，选项D止确.86+87+88+90)=85,方差=0×[(2×10.由统图，可得a=20+5=25,故①错误；八(82-85)2+2×(83-85)2+(84-85)2+年级八有7+33+25+12+3=80（人），故②(85-85)2+(86-85)2+(87-85)2+(88正确：一班植树3棵的人数最多为20人，故③85)2+(90-85)2)]=6.6.止价；内为一班的人数7+21+5+7+2=乙运动员这10次跳水成绩组成数据的均42,且班每人种2棵树的人数有21人，所以中位数是2.做④正价.数=10×(80+81+82+83+84×2+85×二、11.912.30.613.23.414.42+86+90)=84,方差号=0×1(80-84)P+15.10016.-2(81-84)2+(82-84)2+(83-84)2+2×提示：11,由于9出现的次数为14次，频数最多，所以众(84-84)2+2×(85-84)2+(86-84)2+数为9.(90-84)2)」=7.2.12.=5×4+10×16+20×15+50×9+100×6=(2)选甲运动员参加比赛更合适，因为甲运50动员的均成绩比乙运动员高，且甲运动员30.6(元)的方差比乙运动员的小，成绩更稳定13.将折线统计图"的5个数据按大小顺序排列22.(1)因为甲数据的众数是58.所以m=58.为21.9,22.4,23.4,24.9,25.4，所以位数是因为甲、乙两人的均心跳次数相同，23.4.所以可解得n=5714.设被污损的数为x,则4×2+x+2+5×2+3×故填58,57，2=4×8.解得x=6.所以这组数据按从小(2)根据表中的数据分别求甲、乙两组数据到人的顺序排列为2,3,3,4,4,5.5,6.排在的均数、众数、中位数和方差，所得数据整最中间的两个数是4，故中位数为4.理如下表所示：15.中位数a=94,因为均数x=×(92+94+队员均数众数巾位数方弟98+91+95)=94,所以方差6=×[(92-94)2+58589(94-94)+(98-94)2+(91-94)2+(95585757.594)2]=6.所以a+b=94+6=100.16.若m=3,由均数为2，得4+3+2+3+n=从两人心脏跳动情况的均数和方差和结合5×2.解得n=-2,符合m>n.所以n=-2看，他J两人均每分钟心脏跳动都是58次，若n=3,则4+3+2+m+3=5×2.解得但乙飞行员的波动小，所以乙飞行员的心律m=-2,不符合m>,舍去.所以n=-2.史规则，心脏史好些」三、17.x=(3+4+4+6+8)÷5=25÷5=5,在止常池围内，心跳次数越少说明心脏能越52=5×[(3-5)2+(4-5)2+(4-5)2+(6-好，故从众数、中位数的角度看，乙飞行员每分钟的心跳次数较少，所以乙的心脏更好些5P+(8-5)=1=32.综合以上分析，乙飞行员的心脏更好些所以这组数据的均数为5，方差为3.223.(1)本次随机调查的学生人数为4÷10%=18.(1)学生代表评分中9.2出现次数最多，40.故填40.所以为学生代表给张馨评分的众数为9.2.(2)由统计图表，可得m=40×17.5%=7,n=将学生代表评分的6个数据按从小到大的顺40-7-11-4=18,a=40×100%=27.5%,63序排列为9.0,9.2,9.2.9.2,9.3,9.3，排在最中间的两个数据都是9.2，所以学生代表给张馨48×100%=45%评分的中位数为9.2故填7,18,27.5%，45%(2)由题意，得9,5×20%+6×(9.2×3+9.0×(3)因为共有40个数据，所以其中位数是第20和第21个数据的均数，而这两个数据均1+9.3×2)×50%+9.0×30%=9.2(分).落在第3组，所以中位数落在第3组.故填3.所以张蓉的最后得分是9.2分.(4)该校学生中唾眠时间符合要求的人数为190)本饮描取的学牛共有20+0=20人)800×18+4=440.40所以背浦4首的人数为120×器°=45（人》所以估计该校学牛中睡眠时间符合要求的人因为15+45=60，所以这组数据最中问的两数为440.个数是4和5.24.（1)该作品在民主测评得到“不赞成”的票所以中位数为45=45.数为50-40=10.因为背诵4首的人数最多，为45人，所以这组(2)x=(88+87+94+91+90)=90.数据的众数是4(3)y=40×3+10×(-1)=110,所以S=放填4,4.5.0.7x+0.3y=0.7×90+0.3×110=96.(2)因为1200×40+25+20=850（人），所以该作品的“综合得分”S的值为96分12025.(1)由题意，得八年级的Ψ均成锁为(6×7+所以仙川人赛结束后一个月该校学生一周诗7×15+8×10+9×7+10×11)÷50=8(分)：词背诵6首（含6首）以上的人数为850人.儿年级的均成绩为(6×8+7×9+8×14+20.(1)甲队的Ψ均分为，=85+70+64=73（分），9×13+10×6)÷50=8(分).乙队的均分为=72+66+84=74（分）.】所以用均数无法判定哪个年级的成绩比较好因为理x,,赛成绩的方差为1.56，H两个年级的均分所以甲队将被推荐，乙队应加强创意与设计相同，九年级竞赛成绩的波动小，所以应该给