2023年中考导向预测信息试卷数学试题（六）注意事项」1,本试卷共8页，满分120分，考试时间120分钟2、答题前，考生泰心将自己的姓名、考号填写在试春残答随卡上的相应位置3、请在答题卡上指定位置作答，在其它位置作答一律无效4考试结来后，请将木试题和答题卡一并交回。第【卷（选择题共30分）一、选择题（本大题共10个小题，每小题3分，共30分.在每个小题给出的四个选项中，只有一项符合题目要求)1.下列计算结果与2互为相反数的是()·一A.-3-1B.-3+1-2xD.-362.中秋节起源于上古时代，普及于汉代，定型于唐代.中秋节以月之圆兆人之团圆，寄托思念故乡，思念亲人之情，祈盼丰收、幸福，成为丰富多彩、弥足珍贵的文化遗产.中秋节自古便有祭月、赏月、吃月饼、看花灯、赏桂花、饮桂花酒等民俗，流传至今，经久不息。下列月饼图案中，既不是轴对称图形也不是中心对称图形的是()。ABCD3.下列运算正确的是（)45m+2m=7m2B-6n3:2n=4n2C.(-2x2)3=-8x6D4y3.3y2=12y4.新石器时代的先民们发明了陶器。仰韶时代的山西彩陶以花卉图案最具特色.如图为“庙底沟彩陶罐”是山西博物院收藏的国宝级文物之一，烧造于新石器时代（约公元前4000年)，该陶器的主视图是正面ABCD5.在体育课上，甲，乙两名同学分别进行了10次跳远测试，经计算他们的均成绩相同若要比较这两名同学的成绩哪一个更为稳定，通常需要比较他们成绩的(A.众数B.均数C.中位数D.方差

所以hx)在，e单调递增，在(e,+∞)单调递减，所以nxmx=he)=。,所以k>是故答案为：(+o)17.(1)因为a+1=a。+2”，所以a,-a1=2m-(n≥2)，所以an-a1=(an-an-1)+(am--an-2)+…+(a3-a2)+(a2-a1）)=242++2+2-20-2）2”-2,…3分1-2又a1=2,所以an=2(n≥2)，…4分又当n=1时也适合上式，所以an=2"(n∈N).…5分(2)因为bn=log2an=n,所以an·bn=n2”,…6分Tn=1×2+2×22+3×23+…+n.2”,①2Tn=1×22+2×23+3×24+…+n.2+1,②…7分-②得-T,=2+22+23+…+2”-n2m+1,…8分2-2+1所以-又=2n2,所以-7=22-m2”…9分故Tn=(n-1)2"++2.…10分18.(1)f(x)=2sin2(+x)-3cos2x-1--cos(+2x)-3cos2x=sin2x-/3cos2x=2sin(2x-Z).…2分由2kr-T≤2x-T≤2kr+T,k∈Z,232可得kπ-元≤x≤kπ+c7.两山匠，可得学受472,…5分1212故f(w的单调递增区间，5π]…6分4’12(2)不等式|f(x)-mk2,即m-2

(听力材料及参考答案见下期；部分解析见《教师用报参考》第4期)mn.7.She advised her husband to go by air.6.1.She told me (that)I spoke English better thanThere is no doubt that she will keep her wordKey 2:her.1.The instant(that)I saw him,I knew he was theA.1.reasons2.Lucy asked John where he was going when she2.themman from the foreign enterprise.3.important4.howmet him in the street.2.In addition to my studies,I got involved in lotsof3.Mr.Wang told his son to listen to the teacher6.professionallyof club activities last year.7.be confused8.iscarefully in class.3.Neither of them was prepared to go into detail9.to interrupt10.that4.Ms.Smith told the boys not to make so muchabout their talks.B.1.the2.to assistnoise.4.Please let me know in case you can't attend the3.truly4.strategies5.He asked me if/whether I could help him withconference.5.yourself6.thathis homework that afternoon.5.It's time to speak up for those who were7.enjoyable8.to6.Mary asked Jane when they had their dinner.suffering injustice.9.be achieved10.appreciationW:How much would it cost in total,please?M:How did you become interested in playing ice参考答案M:The haircut is 20 dollars,and you should payhockey?1-5 BCBCC6-10ABCAB11-15 ACBAC80 dollars to dye your hair.Hair care is for freeW:My brother's into it,and I used to go to his16-20ABAAC21-25 ACDBB26-30 DBCADthis time.games.But I didn't think of it as something I31-35 DBBAB36-40 EGADC41-45 CBADC(Text 7)wanted to do.That moment came when there46-50 BCADB51-55 DBACA56-60 DCADBM:Lucy,what started you making folding marketwas a professional match on a sports program I61.simply62.A63.to buildbooths?was watching.I knew then but I wanted to try64.offers65.came66.ofW:I was visiting some customers abroad a fewit.Fortunately,a couple of friends did too so we67.how68.safety69.unhealthyyears ago,and saw some booths in their localstarted playing together.market.They were little metal folding houses,70.increasingM:How did you feel when you were chosen forcompletely waterproof,with plenty of display短文改错the national team?room.I did drawings of them and made one forW:I'd been really happy with how I'd been71....trip would lasttrip后加that/whichmy parents.My parents were also sellers in aplaying for my club,and I felt I could do just as72....include tourist attractionswell at a higher level.include→includingmarket.1:What have you done that you're most proudM:Do you have any plans for the future?73....and specially food.specially→specialof?W:Well,I've spent lots of hours reading books74....reach different spotspot-spotsW:I won a prize for designing streetabout what I can and can't do.So I want to75...journey will takewill→wouldbooths.They were made of strong steel.I washave my own ice hockey club.I hope more and76...I was excitingexcitingexcitedparticularly pleased with their special shape.more teenagers will join us.77...to knowing ifknowing→knowText 8)(Text 10)78...great though as去掉asV:How can we sell all these tickets for the schoolI live in a small town.Three years ago,my79....proud of meme→myselfshow,Luke?friends and I decided to convince our local80....capable of taketake→takingWhy not put posters in different places aroundcommunity of the need for a proper park.We soon书面表达town?I put one in the art gallery last week.formed an action group consisting of students,One possible version:Can you help?teachers,parents and others -all led by localOf course.I'm going to the post office thisDear Sir/Madam.restaurant owner Martin Ashton.The next thing theam writingwithreferencetoyourafternoon,so I can put one there.action group had to do was to start raising moneyGreat.Paul's still a member of the sportsadvertisement on the Internet.I am very interestedcentre.So he can.put a poster.there.I'mWe persuaded our school to organize a concert andin spending a couple of weeks in England andmeeting him in the cafe after our discussion.all the ticket money went towards the park fund.would like some moreinformation about yourI'll ask him then.James'apartment building'sApart from this,we did everything we could thinkSummer English Coursesnext to a big shop.He can ask the staff to putof to raise money -I took away the rubbish andFirstly,Iwould like to know what theone there.others organized sales of second-hand books andminimum stay length is and how many hours ofstuff like that.Six months later,we only hadlessons there are each day.What other

bc quite small,but 10.(cat)nuts instead of chocolate and cakescould help prevent a weight gain of 0.4 to0.7kg over four years.IV.A I.aren't you2.do you3.don't you4.is thereB 1.did you2.haven't you3.isn't it4.won't theyV.A I-5 GFDABB 1-5 BDAGEVI.I.houses2.embarrassed3.talking4.became5.myself6.an7.to help8.finally9.whose10.from梦提供(特别提示：参考答案见下期T1版)摄其透：0-009-8181广告经营许可证号：3400000000079

掌上周报微信小程序英语周报智能小助手新题型专练(13)the porch.I no第一节：七选五I-5 GEBDF第一节：七选五1-5to me.Clearly,第二节：语法填空第二节：语法填空1.globally2.in1.the3.came4.was created3.to experience5.artist6.the5.widely7.endangered8.its7.that/which9.to save10.but9.designed第三节：读后续写第三节：读后续写Suddenly the nurse came into the room and said,It wasn't long"You have some visitors."I looked up and saw The Jokeeveryone else in theMan.Behind him were The Cook,The Singer,and Thecould not believeGrandmother.The Cook brought Grandpa a hot bowl ofwho had never plaall her life,Ichicken soup.The Joke Man told us some new jokes,andeverything right.Tecause I didn'teveryone had to dry their cyes from laughing so hard.stop him.Before alifeguard.WeNext,The Grandmother showed Grandpa a get-well cardSoon the team wod down,tryingmade by her granddaughters.The Singer started singing.Such cheering you new,we wereand we sang along with him.Before I knew it,visitingHours later,ajesurfaced oncehours were up.Everyone said goodbye and told Grandpanoticed the younghael heard usthat they would see him again soon.father.The coachn and swam toThat evening,Grandpa called the nurse in and saidbelieve it.You werbody.Then Ihe was hungry.Soon he began to sit up.Finally he wasit?”Justin looked ahis other arm.able to get out of bed.Each day,Grandpa felt better andmy dad had an opbetter,and he grew stronger and stronger.Soon he waswas born with aLisa beganable to go home.The doctors were shocked.They saidcouldn't see clearand I felt likehis recovery was a medical miracle.But I knew the truth:“Dad came to all nth crying,butOur friends'visit had made him well.Grandpa is betterhe could see me pllive.I lookednow.Every Saturday,without fail,we walk together toit.”something:Ivisit our friendslearned how新题型专练(14)第一节：七选五1taught Lisa第一节：七选五1-5 DGFAE第二节：语法填空第二节：语法填空1.traditionally1.levels2.using3.examples3.to build4.more5.remains5.given6.to7.which7.or8.amazing9.difference9.has become10.who/that第三节：读后续第三节：读后续写“Ican't”I"Let me see that note,"Lucy said.She studied it forrun over the nesa moment before asking Scott,"How do you spell fed?"tell Mr.Brown.Scott answered,.“F-e-e-d?”Lucy rolled her eyes.“Scott!OK,ight?”1asIrs.DoughtyFed is spelled f-e-d.Your note says f-e-e-d,feed!It wasexcept for thes eyes weretelling Dad to feed the dog,not that you already fed theourselves into thuth hangingdog!So Senator was being fed twice the usual amount."arms to signale.I smiled“T'm sorry,Lucy,”Scott said.“I just wanted to beThomas gave pand rushedresponsible so I could get a dog for my next birthday."surrounded theeside me asLucy smiled and said,"It's OK,Scott.At least Igoing to get thoest friends'know how to train for next year's spellingAll mornicompetition by teaching you how to spell!"Lucythey wereflyacross thehanded the red leash to Scott."Here.You can walkSenator to the car.""It'll be good practice for when youolive-brown hebus afterone left.“Totened withget your own dog,"Dad said."Isn't your birthdayin,keeping anneck andcoming up in a few months?"A smile spread acrossScott's face,and he reached down to pet Senator."Howover.People bed I've everMrs.Thomasand hug herwould you like a little brother or sister?"he asked theover the fourdog.Senator wagged his tail,and Lucy laughed."Havinga run downa little brother isn't so bad,"she told her dog,"as longMr.Brown'srned out toas you show him who's the b-o-s-s!"新题型专练(15)第一节：七选第一节：七选五1-5 AGBFE第二节：语法第二节：语法填空1.a1.is2.to produce3.got3.having4.them5.as5.usually6.as7.wildly7.has decreased/has been decreasing9.interestingim第三节：读后

8.如图，AB=AC=AD,∠ABC=70°，则∠BDC的度数为()A.501B.40°C.30D.209.已知二次函数y=ax2十bx十c(Q≠0)的图象如图所示，下列结论错误的是)A.a-b+c>0B.2a+b>0C.abc024B第9题图第10题图10.如图，AC是菱形ABCD的对角线，点M,N是AC上的两个动点，且MN=1.若菱形)ABCD的面积为24，AC=4√6，则DM+BN的最小值为A.√/26B.√26-4C.4D.5二、填空题（本大题共4小题，每小题5分，满分20分）11.计算：（π-2023）°-1-21=12.因式分解：-a2b十2ab2-b3=13.如图，反比例函数y=上(k≠0，>0)的图象经过正方形ABCD的顶点B.若点A,D的坐标分别为(1,0)，(0,3)，则k的值为14.在面直角坐标系中，抛物线y=2(x一h)2一8的顶点为点A,且0

.△ABE和△BEC都是正三角形，∴.PO⊥BE,CO⊥BE,.BE⊥面POC,又因为PCC面POC,.PC⊥BE.…5分(2)由于面PBE⊥面BCDE,且交线为BE,OP⊥BE,∴.OP⊥面BCDE,所以OP⊥OB,OP⊥OC,由(1)知OB、OC、OP两两垂直，建立如图所示的空间直角坐标系，P0,05),E(-1,0,0),C0,W5,0),Ep=(1,0,5),EC=1,5,0)…7分设面PCE的法向量为n=(x,y,z),由n.E=0且nEC=0得：x+√3z=0且x+V3y=0,令y=z=-1得n=(W3,-1,-1),…9分z由(1)知面PBE的法向量为m=(0,1,0),D∴.面PBE与面PCE所成锐二面角的余弦值为cos0=Im-nl1 5Imlln55…12分B21.解(1)当P为短轴端点时，△PFF的面积最大，bc=√5，…1分e-5a 2.{bc=5解得a26-1.小搭国E的标准方程为手+y=14分a2=b2+c2(2)解：由题得点N(0,-1),设直线ST的方程为y=a+m(m≠-)，y=kx+m由+4y产二4得1+4松2)x+83%mx+4m-4=0,高三数学参考答案及评分意见第4页（共6页）

②：根据材料，户牖、厅堂、正寝、两厢、枢闌、橱柜、书舍、花园功能各不相同，生活中也并非缺一不可，②错误。③：实践是认识的目的和归宿。“学问之道在于聚焦与专精，自得其乐”说法错误。③排除。故本题选B。9.为让革命文物更好融入城市生活，上海市有关部门注重革命文物外部空间环境的纪念性与开放性，与街区绿地、步行街道、小区广场等活力公共空间的更新激活相结合。另外，在革命文物分布相对集中的区域，革命活动与相关史迹相互交错的不同地区，逐步开展资源整合、共享联动，如打造“红色一方公里”行走路线、“鲁迅小道”等等。这些做法()①意在促进文旅深度融合，实现经济效益和社会效益相统一②通过创设全环境育人空间，增强了市民对革命历史的共情③丰富了革命文化的内涵和形式，提升了爱国主义教育效果④挖掘了革命文物的时代价值，彰显出城市厚重的文化底蕴A.①②B.①③C.②④D.③④【答案】C【解析】【详解】②④：上海市有关部门注重革命文物外部空间环境的纪念性与开放性，与街区绿地、步行街道、小区广场等活力公共空间的更新激活相结合。另外，在革命文物分布相对集中的区域，革命活动与相关史迹相互交错的不同地区，逐步开展资源整合、共享联动。这些做法挖掘了革命文物的时代价值，彰显出城市厚重的文化底蕴，创设了良好育人环境，增强人们对革命文化的认同，②④符合题意。①：促进文旅深度融合不是上述材料中做法的目的，排除①。③：材料中的做法有利于提升爱国主义教育效果，但没有丰富革命文化的内涵，排除③。故本题选C。10.联合国贸易和发展会议发布的《2023世界投资报告》显示，2022年中国吸引外国直接投资额增加5%,达到创纪录的1891亿美元。在世界经济面临多重挑战背景下，中国吸引外资逆势增长，说明世界对中国经济前景充满信心。下列选项中有利于吸引外国直接投资且传导路径正确的是（)A.外商投资审批制改为备案制一降低制度性交易成本一优化营商环境一吸引外商投资B.全面落实外商投资准入前国民待遇一放宽市场准入一消除贸易壁垒一激发投资活力C.发挥比较优势一加强国际产能合作一优化进出口结构一促进外商直接投资D.完善外商投资负面清单管理一创新对外投资方式一拓宽投资渠道一外资收益提高【答案】A

ve gotdon t pay in money.We pay with free classes.arms.Sonne theyWould you still be interested?"Abigail jumped so high“What'sthat there was no doubt about her answer.In fact,shetree.ThebreatheIt was Mrractice,was so happy that she did handsprings all the way homeme to deatcheeredAbigail spent every afternoon at the gym.So by the time“Noystrongshe got home cach day,she'd had her fill of gymnastics.Her parents were happy.Her brother was happy,too.Andlaughing.eguardhe saw LNilaAbigail was happiest of all.Afer that,the only placeAbigail heard anyone sny "Abigail,enough!"was at thesmiled argymat closing time.mysteryand said新题型专练(5)】up there第一节：七选五1-5 FABGEsurprisin第二节：语法填空added.1.runner2.is3.to enjoy4.how第节5.ways6.of第二节7、.or8.exactlyI.is de9.helpful10.following3.to le第三节：读后续写5.aredenly,I felt my face get hot,and I explained,"I didn't say7.luckmostthat."I didn't like feeling jealous but I couldn't help it.9.ane car.I wasn't ready to take the test for my next level because第三节mgetI hadn't been practicing every day.A week later,at theWof uslevel testing,I saw Marti."You'll do fine,"I said,almosttheyalthough I knew I'd feel better if Marti made a mistake.pouredwaterfSo weWhen Marti finished her test,everyone cheered.One ofcowsfastthe judges asked Marti how often she practiced."Abouttheir45 minutes every day,"Marti said."I don't practice thatsaidon butmuch!"I thought.No wonder Marti was getting so good.grounsure“haven't been a very good friend,”I thoughtmostltationsadly.Later,I walked towards Marti to congratulate her.e saw“You really did a great job!”'I said.“You think so?”cookiveryMarti asked.I nodded."Maybe we could start practicinghungmpedtogether."Hearing what I said,Marti got very excitedand then she said,"So I might have a chance ofsuppbarnppilybecoming as good as you."I laughed."Funnily enough,IPapawas hoping I might become as good as you."新题型专练(6)do第一节：七选五1-5 GAEFC第二节：语法填空not a1.situations2.him3.started4.serving5.to6.to talk第二7.a8.frequentlya9.guidance10.where第三节：读后续写andI can still see a little worry in his eyes,so I ask,toThe“Are you OK?”“Yes,”he says confidently,,surprisingtheme with the speed of his answer.I shout"Go!"exactlyandwhen the flash comes.He runs out of his room.Sixteenherseconds later,he runs back in,drops the container ofbiscuits on his dresser,and falls breathlessly onto thestepfloor."Sixteen seconds,"I say,looking at my watch andanta1d,smiling."Not bad."We don't hear anything for a minuteor two."I think the storm is going away,"he says.So iskeprried look on his face.an

W:Yes.M:Are they every month,too?W:Just once a year,(15)and it will be held next week!M:Great!How old do we have to be?I'm only thirteen.W:That's fine.Some children in our club are only ten.We just say that you can't be older thanfifteen (16).The club will be just right for you.M:And how much docs it cost?W:For twelve months it's five pounds,or three pounds for half a year.M:OK.thanks.Text 10M:I remember the first time that I went to Spain was on business.I attended a meeting with mySpanish business partners (17)and it was going really well.The language was no problem forme.I thought I would be able to fly home late after the meeting.And then I felt hungry.Ilooked at my watch.It was 1:30 pm.These people would eat something later,I thought.At2:30,they still talked about business.I was getting desperate.(18)Could they really surviveon nothing but black coffee and cigarettes?I asked myself.Half an hour later,one of mybusiness partners stood up to phone and check if there was a table at his favorite restaurant.Finally at 3:30,I had a menu in my hand.Then we had this amazing three-hour-long lunch.(19)Because of that,I learnt a lesson.Now,when I go to Spain,I make sure I have a secondbreakfast around 11:00 so that I can survive until mid-afternoon.(20)第二部分阅读理解21-23CDB24-27 DCAB28-31ACCB32-35 ACDB36-40 DABFEA篇【分析】这是一篇应用文。文章主要介绍了一些在线艺术课程的情况。【21题详解】细节理解题。根据New Masters Academy部分中“Classes are designed for people of everykil1cvcl.(课程是为不同技能水的人量身定制的)可知，新大师学院的与众不同之处在于它根据你的水提供课程。故选C。【22题详解】细节理解题。根据Proko部分中“There are also hundreds of videos on the Proko website,which you can access for nothing.(Proko网站上还有数百个视频，你可以免费访问)”可知，Proko提供免费在线视频。故选D。【23题详解】细节理解题。根据最后一段中The cost of an online course is$50 per month.(网上课程的费用是每月50美元)'可知，如果你在ICP注册半年的课程，你需要支付50×6=300美元。故选B。英语参考答案及评分标准·第3页（共8页）