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For the first time,scientists have collected samples from an asteroidD(小行星)and brought them back to Earth.The small amounts of rock,ditand dust were taken from an asteroid called Bennu and carried to Earth ina capsule(太空舱)about the size of a car tire.NASA scientists think thatanalyzing the asteroid will provide scientists with knowledge about howan to ex(A)26.Which of the following can best describellect the materials,which areowd OSiRiS-TPa'at?estimated 4 s hillion vears ago it then orbited bennu for another two vearA.Determined.B.Kind-hearted.mapping its surface before using a robotic arm to collect regolith.Theexploration was not easy because the land was uneven and rockyC.Careful.D.Creative.OSIRIS-REx carried the capsule back toward Earth at a speed of abou(D)27.What is Pollyanna's attitude to Pa'at?then released it about 63.000 miles from our planetAfter passing ths atmospnere,the cA.Concerned.B.Proud.theC.Sympathetic.D.Admiring.nd found it toScientists believed they finally coud seep well after many anxioudavsScientists opened it and began preparing it for travel to a special labat NASA's Johnson Space Center in Texas.NASA will keep 70%of theregolith,and the rest will go to more than 200 scientists at 35 differentFor many years,the Caribbean island of Redonda was a bare rock withvery little wildlife on it.However,thanks to local environmental groups,ithas now been restored to its former state and has been named a protectedarea by the government of Antigua and Barbuda.space agencies and scientific institutions.Redonda was once a perfect place for wildlife,but in the 17th centuryDante Lauretta.the lead investigator on the OSIRIS-REx mission.said."The materials are incredibly valuable.To make the research successful.料)to help farmcevery country in the world should work with each other to make full use ofislandto mine guano.Theymoved to theand blacwhere not originallythe precious materials."thoughs eventually stoppecng guanosland,the goats and black rats stayed behi(B)32.What do we know about Bennu?plants and hunted other species,eventually leaving Redonda a barrenandscape.A.It can have the sign of lifeIn 2016,conservationists started a project to help the island and itswildlife recover.Although the job was very difficult and dangerous,localB.It can tell the origin of Earth.conservationists had a strong desire to complete the task.They started byC.It can have rich mineral resourcesremoving the species that weren't supposed to be there.Within months,theisland's plants began to grow back on their own.D.It can be turned into a space station.As the environment gradually became healthier,the number of animalsthat are native to the island began to grow,such as the Redonda grounddragon.Other lizards are also on the rise,and many birds have returnedto the island.The new protected area,called the Redonda EcosystemReserve,includes the island itself plus the sea around it.In the future(B)33.What made the exploration difficult?conservationists will help creatures in the sea stay in healthy condition,andA.The parachute was broken.there will be strict rules about fishing near the seaB.The surface of Bennu was rough.C.The robotic arm functioned poorly.(C)28.Why did Redonda become barren?D.The spacecraft was in the wrong orbit.A.People hunted local wildlife(A)34.How did scientists feel after they examinedB.People collected too much guano.the capsule?C.People brought non-native species.A.Relieved.B.Confused.D.People produced too much pollution.C.Disappointed.D.Surprised.g(D)29.Which word can best describe localconservationists?A.Knowledgeable.B.Skillful.(C )35.What is the key to studying the materialsC.Flexible.D.Determined.collected by the OSIRIS-REx?(B)30.What will local conservationists do next?A.The advanced equipment.A.Plant more trees.B.The sufficient research fund.B.Protect marine species.C.The international cooperation.C.Build a new reserve.D.The development of space explorationD.Introduce new species.g第二节根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。When looking up the phrase "communicative(A)31.What is the best title for the text?competence"online,you can find many differentA.Redonda makes rewilding successfulFexplanations.36 The idea behind this competenceB.Redonda becomes a famous tourist spotis that the ability people have to communicate can beconnected with effectiveness.Someone is consideredC.Conservationists remove pollution fromcompetent,if he can talk to someone in a way that isRedondaappropriate and conveys meaning accurately.D.Conservationists protect native species onvery vital one is planning.Redonda from extinctionThere are different ways of planning.So communicative competence can be important.D.We'll later give some examples of its explanation.Someone may feel his message expresses one idea..But essentially,it refers to one's ability to communicate with others.G.Often the effect can be great,regardless of knowledge or planning.4

(43)E "Be careful!"Mr.Holt says."You never know when a car door写作指导：三might open."Jennie gets away from the cars.Soon,they get to a crossing(44)C Jennie wants to ride across fast,but her mother stops her."We本篇写作要求写一封邮件告知David从他家去should walk our bikes across the busy crossing."动物园的路线。写作时，要先观察地图确定起阅读Half an hour later,they get to the park.The Holts are glad that they四点和终点位置，再确定路线，然后详细描述，ride to the park safely.(45)B也可以适当地增加细节。A.Don't listen to music!B.Then it's time for the picnic!写作◎主题：人与社会之社会服务与人际沟通⊙子主题：人际关系与交往解C.There are many cars and people.D.Ride on the right side (of the road⊙思路指导：E.Jennie is riding too close to them☆时态：一般现在时F.The park is not far from their home.☆人称：第一、第二人称G.They don't want Jennie to get hurf on the way第一节根据句意，用括号中所给词的适当形式填空。46.It's good to know different traffic signs☆行文布局：四(sign)四l.说明目的→I'm writing to tell you how to get47.Thethirdto the zoo from your home.写room on the second floor is2.详细描述路线→The zoo is…After you.,gothe computer room.(three)写48.Mr.Bai wants to change a new car.(change)down ..and turn left...Then you are ..Walk49.Becarefulalong ..Go past...The zoo gate is just...There is some water on thefloor.(care)3.结束语→I'm sure you can get to the z0o50.There is a car accident at the crossingeasily.See you on Saturday!(cross)第二节将括号中所给的汉语部分译成英语，注☆必背词语与句型：意使用适当的形式。far from,after,get out of,go down,turn left,四51.We need to change toBus No.75 atcrossing,walk along,until,right,go past,acrossXiayuan Stop.(换乘)四from,miss52.There is a bookstore acrossfrom my*The zoo is not far from your home.作home.(在对面)Go down West Street and turn left at the first53.The sign read“No right turn”.(禁止右转)作crossing.54.Don't drive so fast,or you will get aWalk along the street until you see a postticket forspeeding.(超速罚单)office on your right.55.Mike fell off his bike,but luckily he didn't*The zoo gate is just across from a museumgethurt,(受伤)第三节书面表达One possible version:假设你是李华，来自英国的交换生David:这学期刚Dear David,四来到你们班学习。本周六他将和你一起去参观动物四I'm writing to tell you how to get to the zoo from your园。请你根据以下提示，写一封邮件告知David从他家home.The zoo is not far from your home.After you get去动物园的路线。out of your home,go down West Street and turn left at the写作写first crossing.Then you are on South Street.Walk alongthe street until you see a post office on your right.Go pastthe post office and you will see the zoo.The zoo gate isbookstore hospitalmuseumjust across from a museum.You can't miss it!StreetI'm sure you can get to the zoo easily.See you onZ00Saturday!Yours,Li Hua要求包括所有提示信息，可适当发挥；2.条理清楚，意思连贯，语句通顺，天豫词一、单词辨音。请找出画线部分发音不同的单词。四3.不少于60词（开头和结尾已给出，数)。Dear David,选(D)1.A.waste B.hateC.crazy D.imagine写I'm writing to tell you how to get to the zoo from your(A)2.A.compete B.stress C.elderD.memberhome.题B)3.A.skillB.climber C.quick D.instead(D)4.A.dropB.properC.copyD.compare(C)5.A.followB.belowC.allowD.borrowI'm sure you can get to the zoo easily.See you onSaturday!Yours,Li Hua15

伟大，何绝密★启用前郑名小渔°2024届高三年级考点评估测试卷给不足秀语文（二）家)聪本试卷共8页，满分150分，考试用时150分钟。与斯巴大的政接前、考生务必将自已的姓名、班级考场胶位号考生号机写在答题卡上能力的注意事项}音袋”司小感浴案后，用2指和新能新夫标9的结论器装多回修择时。将各姿辑自洛在本试卷上无效。人，3考试结束后，将本试卷和答题卡一并交回。势，一、现代文阅读(35分)方与(一)现代文阅读【（本题共5小题，17分）的国阅读下面的文字，完成下面1~5题。知晓头国学者的特加迪药在《论大战略》的开信使用了孤复和刺智的陵喻，这个头故及现在希腊诗人阿奇洛充思的残篇中：“弧担多知，而刺捐有一大知。”当代英国者学家以：约伯林在1953牛出版的《制得与孤担)中加以引中，借此描达历史人物思维的差异，狐程道毛知」个目标，其思维足零散、离心式的；万制捐日标单一、国执，其思维坚守一个单句、普选式则，以此规范一切言行。伯林认为，柏拉图、但丁、尼采、黑格尔属于刺贺型，而亚里士多莎士比亚、歌德则像孤狸。问题在于，这种简单的“二分法”能音遍适用吗？反例是大文彩诱尔斯泰，他时而像一只固执的刺猬，试图追寻历史真理；时而像一只多疑的狐狸，部夷历史为释和经验。刺猬和狐狸的特点在他身上出现某种交汇，而交汇点就是“常识”。伯林的结论是自“常识”是某种自发、单纯而未被理论污染的东西，经得住时间检验。刻伯林的理论被演绎成历史研究者的罗盘，也启发了加迪斯对战略行为的思考。他认为，入的思维往往处于刺猬和狐狸两种思维方式的对抗之中。前者重视目标的单一性和纯粹性，而忽视手段的配合；后者重视环境的变化和对自身能力的评估，但是往往模糊了目标和焦点。加迪斯在书中展现了这种对抗和矛盾，他用大量的历史事件和对参与者思维和行为的分析，体现出战略的内涵。为什么有的战略意图能得到超水平的实现，而有的战略意图却一败涂地？他的结论是，如果把“刺猬”理解为对战略目标和愿景的规划，把“狐狸”理解为对自身能力的评估和调控，那么目标与能力的平衡即为战略。不过，加迪斯也说明，这种平衡不可能一成不变，而应是动态的和不断变化的。图为在战略的执行过程中，外部的影响因素随时都在发生变化，目标与能力需要互相适应和配合，光共是要防止两者脱节。要做到这一点，需要拥有“好的判断力”和“均衡的行为”，简言之，就灵运用常识。加迪斯写到，所有战略问题的核心不过是常识而已，但保持常识亦不易。加迪斯写到，战略意图的追求者从不缺乏作大理超，然而，成败往往取决于现实条件西不权是关好唇里战略的夫收者给人突战争史司下了许多不可思汉的问号。倒如，以拿成2【琴名小遵。·高三考点评估卷·语文（二）第1页（共8页）】答题区域内作答，超出矩形边框限定区域的答案无效清在冬丽月的然题风其内作器出矩形第1页（

“问渠那得清如许，为有源头活水来”，意在表明21.①两个逗号将“捉虱子”“打瞌睡”“啜冷粥”三个坚持读书，新鲜的想法就会像活水一般源源而动宾短语分隔开来，着意刻画了略显脏乱、整天来；“花柳逐时新”表明坚持读书，人就能像花柳无所事事、只能靠冷粥度日的乞丐形象。换新颜一般获取新知，丰盈内心。②用逗号将乞丐乞讨时的动作分解开来，将乞16.①读书，能让人如遇知已，早晚相伴，忧乐与共。丐乞讨的动作以慢镜头的形式呈现出来，与后②读书，可以净化心灵，摒弃杂念。③读书，能面乞丐一无所得的情况形成反差，表明时代已让人不断获取新知，涵养心性。④读书，可以给变，乞丐很难再乞讨到什么了。生活带来别样乐趣，培养高尚情操。（一点222.句子(1)为反问句，无疑而问，意在强调“真正能分，答出任意三点即可得6分)够让人记住的古镇并不多，甚至是没有古镇能17.(1)臣闻求木之长者必固其根本够让人印象深刻”，加强反诘语气。(2)蝉蜕于污浊虽与日月争光可也句子(2)为疑问句，表明作者的疑问，不知道乞(3)艰难苦恨繁霜鬓潦倒新停浊酒杯/多情应丐为什么越来越少，也不知道乞丐都到哪里笑我早生华发/白发三千丈缘愁似个长去了。18.A.古镇只有始终保持特色。B.古镇旅游或走23.【写作指导】向没落（或“古镇旅游业难继续发展”）。这是一道材料作文题。“色”是写作主题，【解析】A句，由第三段可知，古镇同质化带来了三个修饰语一“山河画卷中”“中国”表所属，很多问题，所以古镇开发要拒绝同质化，坚持走“最美”表特征。材料列举了“朱砂红、云水蓝、特色道路；由横线后的关联词“才”可知，补写的瑞雪白”等，提示这些颜色来自“锦绣山河中”句子要补全关联词搭配“只有”；“才能立于不败“华夏大地上”，即要扣住“中国”“山河”来写，以之地”的主语为“古镇”，所以补写部分句子主语国色尽显山河，以山河承载国色。也应为“古镇”。B句，根据横线前的“游客”可为什么“最美”？色彩是外在表现，自然界知，补写句子与“旅游”相关，当各地古镇相似度的山河是载体，从色彩人手，要写祖国的山河之过高，游客产生厌倦感，古镇旅游业自然很难继续发展。美，还应写出其历史文化等人文底蕴。传承千19.②句应在“居住性建筑”后面加上“的建筑群”或载的中国传统色与自然环境相互交融，共同绘者“的商业集镇”。③句去掉“的结果”。⑨句去出美丽中国的新画卷。由表及里，展开丰富联掉介词“在”。想和深入思考。【解析】②句宾语中心语残缺，宾语修饰语过长还可以进一步思考，如何描绘出新时代的致使宾语中心语残缺。“古镇一般是”缺乏宾语最美中国色？例如，中国式现代化的重要内容中心语，所以需在“建筑”后面加上“的建筑群”之一是建设人与自然和谐共生的现代化，创造或者“的商业集镇”。③句句式杂糅，“…的结人类文明的新形态。果”与“由于…”存在重复，可去掉“的结果”。题目审题难度小，立意指向却是多元的。⑨句主语残缺，滥用介词“在”，使得句中“发现”从选材的角度来看，可取自然，可取社会；可选没有主语，所以应去掉介词“在”。历史文化，可选现实热点。范围非常宽泛，但都20.运用了借代的修辞手法。（1分)构成：用“新衣要体现出中国风貌、中国精神。服”来指代人，以人的形象特征代本体(1分)。从文体的角度来看，适合多种文体写作，选表达效果：强调了顺应新时代发展出现的新装择自已擅长的文体即可。扮，同时也带有一点讽刺意味，讽刺有些人装扮【参考立意】①最美中国红；②黄河黄；③绿虽新，心却变得冷硬。(1分)水青山就是金山银山；等等，语文试题（三）参考答案第3页共4页

听第六段对话，回答第11-12小题。D.听填信息你将听到关于如何和父母相处的短文，请你根据所听W:What's wrong,Tom?You look angry.内容填写下面的信息卡。短文听两遍。M:I argued with Jack just now.W:Why?You are good friends.How to build a strong(2nglationshipwith parents听Invite your parents to join in some(22interesting说M:I wanted to copy his homework,but he didn'tSpend time togetherallow me to do that.activities with you.W:I think Jack is right.You should do your★(23)Show yourGive your mother flowers on her(24)birthday用love to themGive your father a cup on Father's Day.homework by yourself.应用★Try your bestYour parents will be happy when they see youare working(25)hard听第七段对话，回答第13-15小题。⑤D.听填信息B)13.Where did the family have a party?Your parents are the most important people in yourA.In a restaurant.B.In their house.life.In order to build a strong relationship with them,youC.In a hotel.can do the following things.First,spend time with them.(A)14.What's the relationship between the speakers?You can invite your parents to join in some interestingA.Brother and sister.activities with you.Having a good time together can makeyou closer.Second,show your love to them.Remember to说B.Mother and son.说give them gifts on important days.For example,give yourC.Father and daughter应mother beautiful flowers on her birthday;give your用)15.What is the boy going to do?father a nice cup on Father's Day.Finally,whatever you do,BA.Wash the dishes.try your best.You don't have to be a very successful person,B.Sweep the floor.but you should try your best.Your parents will be happyC.Take out the rubbish.when they see you are working hard.听第七段对话，回答第13-15小题。E.情景对话请通读下面对话，根据对话内容，从方框内的选M:I think our family party was very fantastic.项中选出能填入空白处的最佳选项。选项中有一项为多余项。W:I agree.We sang songs,played interesting gamesand had dinner together.What a great evening!SPeter:Phat's great EM:We enjoyed ourselves,but now our house is in alove me anymore.She stayswth themess after the party.Peter:I know how you feel.But the baby just needs more care from your听mother.说W:Yes.Look!Our dad is clearing the table,and our说have a talk wth your parernts?mom is washing the dishes.M:Let's help them make our house tidy!用Peter:Of course.You'll understand each other better after you exchangeDW:Good idea!M:I'm going to sweep the floor.Could you pleasetake out the rubbish?will that vD.TaldI do?W:No problem.E.But why are.I'goingC.听短文(A )16.How many people are there in the girl's family?Kate had many friends.And she was known as31hard-workingA.Four.B.Five.C.Six.student and talented sports player.She didn't seem like the kind of kid who(C)17.Who always takes out the rubbish?could be depressed(抑郁的).But in the second year of high school,Kate hurt 32in an accidentA.The girl.B.The girl's mother.That made it impossible 33 her to play sports again.Kate becameC.The girl's brother.unhappy and she began to stay alone for weeks at a time.Her nights became听(A)18.What does the girl do every day?sleepless,and she couldn't3_normal things during the daytime.As说A.She does the dishes.time passed by,she felt 35 and worse.B.She sweeps the floor.法C.She cleans the living room(A)31.A.aB.anC.the用B)19.What time does the girl's mother get up?择(C)32.A.sheB.herC.herselfA.At 6:00 am.B.At 6:30 am.B)33.A.with B.forC.ofC.At 7:00 am.(A)34.A.doB.doesC.did(C )20.Where does the girl's father go every SaturdayB)35.A.badB.worseC.worstA.To the hospital.B.To the park.C.To the supermarket.C.听短文Kate's mom worried about her a lot,36 soon she knew her girl hadThere are four people in my family:my parents,depression.She decided 37 Kate to the hospital.During her hospitalcare,Kate learned 38 to understand her feelings.Finally,Kate got bettermy brother and me.In our family,everyone has toand became a strong person again.do housework.I hate taking out the rubbish,so myNow,Kate 39a happy and healthycollegestudent.Shebrother always does that.He doesn't like to do thebe a psychologist(心理学家)and help other kids when she finishes schooldishes,so I do that after dinner every day.Mom语Thanks to her family,Kate was able to find the right place to get well at theright time说always cooks meals.In the morning,she has to getup at 6:30 and cooks breakfast for us.Dad always(C)36.A.0rB.thoughC.and用does some shopping for us.Every Saturday morning择B)37.A.takeB.to takeC.takinghe goes to the supermarket and brings home a lot of(A)38.A.howB.whatC.wherefood.This is how we share housework.Sharing(C)39.A.beB.wasC.ishousework makes us love our family more.Please(B)40.A.planB.plansC.plannedtry to share housework with your family,too.4

2023一2024学年度下期高2024届入学考试文科数学试卷考试时间：120分钟满分：150分一、选择题：本题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.已失合1-={eZ外-2x-15<0,B={eRk-1≤0以，则AnG)的真f架的个数为()A.9B.8C.7D.6【答案】C【解析】【分析】解不等式求出集合A,求出集合B的补集，即可确定A∩(CB)的元素，根据元素的个数，即可求得A∩(CB)的真子集的个数.【详解】由题意A={x∈Zx2-2x-15<0}={x∈Zx+3)x-5)<0={x∈Z-31},故A∩(CB)={2,3,4},则A∩(CB)的真子集的个数为23-1=7，故选：C2若函数f()-r+ax+1是定义在(-6,26-2)上的偶函数，则/=()1A.4B.C.D.2【答案】D【解析】【分析】利用偶函数的定义可计算α，b的值，再根据解析式计算函数值即可.【详解】因为函数f(x)=x2+ax+1是定义在(-b,2b-2)上的偶函数，所以-b+2b-2=0且f(-x)=x2-ax+1=x2+ax+1=f(x),则a=0b=21第1页/共20页

2023一2024学年度下期高2024届入学考试文科数学试卷考试时间：120分钟满分：150分一、选择题：本题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.已失合1-={eZ外-2x-15<0,B={eRk-1≤0以，则AnG)的真f架的个数为()A.9B.8C.7D.6【答案】C【解析】【分析】解不等式求出集合A,求出集合B的补集，即可确定A∩(CB)的元素，根据元素的个数，即可求得A∩(CB)的真子集的个数.【详解】由题意A={x∈Zx2-2x-15<0}={x∈Zx+3)x-5)<0={x∈Z-31},故A∩(CB)={2,3,4},则A∩(CB)的真子集的个数为23-1=7，故选：C2若函数f()-r+ax+1是定义在(-6,26-2)上的偶函数，则/=()1A.4B.C.D.2【答案】D【解析】【分析】利用偶函数的定义可计算α，b的值，再根据解析式计算函数值即可.【详解】因为函数f(x)=x2+ax+1是定义在(-b,2b-2)上的偶函数，所以-b+2b-2=0且f(-x)=x2-ax+1=x2+ax+1=f(x),则a=0b=21第1页/共20页

2023一-2024学年度下期高2024届入学考试理科详解一、单选题1.C由题意答案第1页，共11页

2023一-2024学年度下期高2024届入学考试理科详解一、单选题1.C由题意答案第1页，共11页

2.C。理解具体信息。根据Animation Academy的内容This is a hands-.on workshop.guided bya real Disney artist..This experience...America Gardens Theatre.可知，Animation Academy可以让游客在艺术家的指导下画迪士尼人物，地点在America Gardens Theatre。3.B。推断。根据Ticket Prices的内容Standard date-based tickets...under12 get per ticket with20%of.可知，一对夫妻和七岁的孩子一天的票价是$120×2+$120x0.8=$336。B导语：本文是一篇夹叙夹议文。文章主要讲述了Glenn Curtiss作为一名赛车手、工程师和飞行家的事迹。4.B。推断。根据第一段第二、三句可知，Glenn Curtiss作为海军航空之父和美国飞机工业的创始人而为后人铭记。由此可推知，将Glenn Curtiss与莱特兄弟比较是为了强调他在海军航空领域的重要性。5.C。理解具体信息。根据第二段Lua had a hard time making ends meet..Consequently,.tosupport the family.可知，Glenn Curtiss辍学是为了减轻家里的经济负担。6.D。推断。根据第三段So light and powerful were his motorcycle engines that the balloonistThomas Baldwin asked him to build an engine for his airship.可知，Glenn Curtiss的发动机设计得到了乘热气球飞行者的赏识，他由此开始转向航空工业。7.A。理解目的。根据全文内容可知，作者写这篇文章是为了纪念Glenn Curtiss这位伟人。C导语：本文是一篇说明文。文章主要介绍了婴儿语的定义、背后的原因、相关的研究发现并给出建议。8.A。理解具体信息。根据第一段内容可知，第一段主要介绍了婴儿语的特点，包括音高、声调夸张、词汇简化和重复短语，以及相关的面部表情和动作等。9.B。理解词汇。根据第三段Baby talk also helps to establish an emotional connection.a senseof security for babies..可知，婴儿语也有助于在成人和婴儿之间建立情感联系。这种特殊的语气表达了感情、爱和关心。因此，在某种程度上，它增强了婴儿的安全感。由此可推知，beefup的意思是“增加；提高”。10.D。推断。根据第四段最后两句话可知，实验显示，婴儿对于婴儿语的偏好是普遍存在的。11.D。理解具体信息。根据最后一段的内容可知，最后一段提出建议：随着婴儿年龄的增长和语言技能的发展，成年人在和婴儿对话时，需要在婴儿语和正常的成人对话之间取得平衡D导语：本文是一篇说明文。文章主要介绍了一个研究团队开发的智能麦克风系统，它可以在复杂环境中识别和定位不同人的语音，从而帮助人们屏蔽不需要的声音。12.B。理解具体信息。根据第一段的内容以及第二段which uses self-.deployingmicrophones...lets users mute certain areas or separate conversa-tions可知，该智能系统可以将房间划分为语音区，并追踪说话人的位置，进而屏蔽不需要的声音。l3.B。理解具体信息。根据第四段The robots spread as far from each other as possiblelocating the speaking people easier.可知，为了使这些机器人更好地区分不同语音，研究人员让麦克风机器人自动调配，最大程度分散开来保证该系统的准确率。14.D。理解主旨要义。根据第五段内容可知，本段主要介绍了研究团队在三个场景下测试该智能麦克风系统的性能表现。15.C。理解观点、态度。根据最后一段介绍的该系统的特点可知，这些机器人活动时，灯会发光，且在本地处理所有音频数据，因此能有效保护隐私，故研究人员对该系统的隐私安全

2.C。理解具体信息。根据Animation Academy的内容This is a hands-.on workshop.guided bya real Disney artist..This experience...America Gardens Theatre.可知，Animation Academy可以让游客在艺术家的指导下画迪士尼人物，地点在America Gardens Theatre。3.B。推断。根据Ticket Prices的内容Standard date-based tickets...under12 get per ticket with20%of.可知，一对夫妻和七岁的孩子一天的票价是$120×2+$120x0.8=$336。B导语：本文是一篇夹叙夹议文。文章主要讲述了Glenn Curtiss作为一名赛车手、工程师和飞行家的事迹。4.B。推断。根据第一段第二、三句可知，Glenn Curtiss作为海军航空之父和美国飞机工业的创始人而为后人铭记。由此可推知，将Glenn Curtiss与莱特兄弟比较是为了强调他在海军航空领域的重要性。5.C。理解具体信息。根据第二段Lua had a hard time making ends meet..Consequently,.tosupport the family.可知，Glenn Curtiss辍学是为了减轻家里的经济负担。6.D。推断。根据第三段So light and powerful were his motorcycle engines that the balloonistThomas Baldwin asked him to build an engine for his airship.可知，Glenn Curtiss的发动机设计得到了乘热气球飞行者的赏识，他由此开始转向航空工业。7.A。理解目的。根据全文内容可知，作者写这篇文章是为了纪念Glenn Curtiss这位伟人。C导语：本文是一篇说明文。文章主要介绍了婴儿语的定义、背后的原因、相关的研究发现并给出建议。8.A。理解具体信息。根据第一段内容可知，第一段主要介绍了婴儿语的特点，包括音高、声调夸张、词汇简化和重复短语，以及相关的面部表情和动作等。9.B。理解词汇。根据第三段Baby talk also helps to establish an emotional connection.a senseof security for babies..可知，婴儿语也有助于在成人和婴儿之间建立情感联系。这种特殊的语气表达了感情、爱和关心。因此，在某种程度上，它增强了婴儿的安全感。由此可推知，beefup的意思是“增加；提高”。10.D。推断。根据第四段最后两句话可知，实验显示，婴儿对于婴儿语的偏好是普遍存在的。11.D。理解具体信息。根据最后一段的内容可知，最后一段提出建议：随着婴儿年龄的增长和语言技能的发展，成年人在和婴儿对话时，需要在婴儿语和正常的成人对话之间取得平衡D导语：本文是一篇说明文。文章主要介绍了一个研究团队开发的智能麦克风系统，它可以在复杂环境中识别和定位不同人的语音，从而帮助人们屏蔽不需要的声音。12.B。理解具体信息。根据第一段的内容以及第二段which uses self-.deployingmicrophones...lets users mute certain areas or separate conversa-tions可知，该智能系统可以将房间划分为语音区，并追踪说话人的位置，进而屏蔽不需要的声音。l3.B。理解具体信息。根据第四段The robots spread as far from each other as possiblelocating the speaking people easier.可知，为了使这些机器人更好地区分不同语音，研究人员让麦克风机器人自动调配，最大程度分散开来保证该系统的准确率。14.D。理解主旨要义。根据第五段内容可知，本段主要介绍了研究团队在三个场景下测试该智能麦克风系统的性能表现。15.C。理解观点、态度。根据最后一段介绍的该系统的特点可知，这些机器人活动时，灯会发光，且在本地处理所有音频数据，因此能有效保护隐私，故研究人员对该系统的隐私安全

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8.理科数学（三）参考答63A日货D前期J1.A【解析】由于x2-3x+4=(x一、号)+子0恒成立四AB=1之-340}D【a糊中2十g十D·&-影{(x+1)(x-4)<0}=(-1,4),A∩B=(-1,4),故选A.2，三选D.学四，(3.B【解析】平均分的估计值为65×0.2+75×0.4+85×0.3十95×0.1=78，-8中位数的估计值为70+10×-71.5，故选B4,C【解析】根据三视图，作棱长为2的正方体ABCD-A1B,CD,设E为BB,的中点，则几何卧为图中的多面体D,E-ABCD,其体积V=VAND-A,CeVeME二V2BG=8-专X2090×1×2-}×2×1号×2=4，故选C22D见面过A证成四雪永西系干D庆前项霸甲膏演的又(D【】8=(0=)95.B【解析】由f3+2x)为偶函数可知f(3+2x)=f3-2z),则0=f3-2,3)=f(6-x),则f(x)的图象关于直线x=3对称，又f(x)是定义在R上的奇函数，则f(x)=二f(-x),所以二f(一x)=f(6-x),则-f(x)=f(6十x),即-f(6一x)=f(6十x),所以-f(12-x)=f(x)=-f(-x),则f(x)=f(x十12)，故f(x)是周期T=12的周期函数，×0十8X0=(X)a于是f(2023)=f(168×12+7)=f(7)=f(-1)=一f(1)=-1,故选B.6.B【解析】因为F(2,0),故可设直线AB的方程为x=my+2,与抛物线方程联立得y2一8my-16=0.设A(x1,y1),B(x2y2),则y1y2=-16,山因夜由SAw0加=2SA0r可知y1=-2y2,代入y1y2=-16,可得y2=-2V2,所以x2=1,因此B1,2),a=一9-2,2，比即为直线AB的斜率故适B间7.B【解析】由已知可知，这个等边三角形内切圆⊙O的半径r=1.设D,E,F分别为AB,BC,CA的中点，PA·Pi=(P0+OA)·(P0+O)=Pd+Pò.(Oi+Oi)+OA·Oi=1年2P0.oi-2行-1+2P0.0i,0,8,8)8.(0,3-8S)A(,0.0j同理，P克·P心=-1+2P0·O,P式.PA=-1+2P0·O,-0卧可人9=5可由1所以PA·Pi+Pi.P心+P元·PA=-3+2Pò·(Oò+O+O),由于Oi+O+O市=0，所以PA·P克+P市·P式+P心.PA=-3,故选B.0-5=6过·20·S

8.理科数学（三）参考答63A日货D前期J1.A【解析】由于x2-3x+4=(x一、号)+子0恒成立四AB=1之-340}D【a糊中2十g十D·&-影{(x+1)(x-4)<0}=(-1,4),A∩B=(-1,4),故选A.2，三选D.学四，(3.B【解析】平均分的估计值为65×0.2+75×0.4+85×0.3十95×0.1=78，-8中位数的估计值为70+10×-71.5，故选B4,C【解析】根据三视图，作棱长为2的正方体ABCD-A1B,CD,设E为BB,的中点，则几何卧为图中的多面体D,E-ABCD,其体积V=VAND-A,CeVeME二V2BG=8-专X2090×1×2-}×2×1号×2=4，故选C22D见面过A证成四雪永西系干D庆前项霸甲膏演的又(D【】8=(0=)95.B【解析】由f3+2x)为偶函数可知f(3+2x)=f3-2z),则0=f3-2,3)=f(6-x),则f(x)的图象关于直线x=3对称，又f(x)是定义在R上的奇函数，则f(x)=二f(-x),所以二f(一x)=f(6-x),则-f(x)=f(6十x),即-f(6一x)=f(6十x),所以-f(12-x)=f(x)=-f(-x),则f(x)=f(x十12)，故f(x)是周期T=12的周期函数，×0十8X0=(X)a于是f(2023)=f(168×12+7)=f(7)=f(-1)=一f(1)=-1,故选B.6.B【解析】因为F(2,0),故可设直线AB的方程为x=my+2,与抛物线方程联立得y2一8my-16=0.设A(x1,y1),B(x2y2),则y1y2=-16,山因夜由SAw0加=2SA0r可知y1=-2y2,代入y1y2=-16,可得y2=-2V2,所以x2=1,因此B1,2),a=一9-2,2，比即为直线AB的斜率故适B间7.B【解析】由已知可知，这个等边三角形内切圆⊙O的半径r=1.设D,E,F分别为AB,BC,CA的中点，PA·Pi=(P0+OA)·(P0+O)=Pd+Pò.(Oi+Oi)+OA·Oi=1年2P0.oi-2行-1+2P0.0i,0,8,8)8.(0,3-8S)A(,0.0j同理，P克·P心=-1+2P0·O,P式.PA=-1+2P0·O,-0卧可人9=5可由1所以PA·Pi+Pi.P心+P元·PA=-3+2Pò·(Oò+O+O),由于Oi+O+O市=0，所以PA·P克+P市·P式+P心.PA=-3,故选B.0-5=6过·20·S

文与试时Ⅱ卷((5分)【命题点拨】本题考查古典概型的概(2)当xe[-1,2]时f(x)≤12x+51等率，考查数学运算等核心素养。后，用价于x+1+12ax-11≤2x+5,【解题思路】不超过15的素数有2,3，等价于12ax-11≤x+4,答案标(7分)5,7,11,13,共6个，其中偶数为2，随机当x=0时，1≤4：选取2个不同的数，有15种结果，恰好含页卡上。当-1≤x<0时，由r2ax-1≥-x-4有2的结果有5种，所以所求的概率P=:一并交2ax-1≤x+4可得-2≤a≤1；音-放选D5.【答案】C第I老当00，可排除D.故选C2√/2+1【命题点拨】本题考查集合的基本概念6.【答案】D与运算【命题点拨】本题主要考查简单的线性1女生人【解题思路】由题意可知B=[-3,5],规划，考查的核心素养是逻辑推理、直观所以A∩B=[-3,-2).想象、数学运算.和女生2.【答案】D【解题思路】作出不等式组【命题点拨】1本题考查复数的概念及运算rx-y≤1【解题思路】因为1+z=(i+2m)(1-x+y+1≥0表示的平面区域，如图中阴数列{2),所以1+z=(i-1)(1-z),所以z=Ly≤21-2-1+21,得x=12i,则11+1=4+2y影部分所示.x=4-x=-2xy+2y+2）·2x-4'x-422.故选D.表示可行域内的点(x,y)与(4，-2)连线3.【答案】A双线后-的斜率由二)1，得点A的坐标为则z=x【解题思路】=1(a>0)y=2(3,2),由+y+1=0得点C的坐标为2的海渐近线方程为y=±二x,点(0,2)到渐x-y=1a225近线y=的距离为号，则(0,-),则号的最小值为号=4，最大值为。2=一子，可得：的最大值:·文科娄1-2a15,解得0=1.故选A√22+(-a)5为8，最小值为和为8+}-号故选D4.【答案】D猜题金卷·文科数学参考答案第25页（共36页）

文与试时Ⅱ卷((5分)【命题点拨】本题考查古典概型的概(2)当xe[-1,2]时f(x)≤12x+51等率，考查数学运算等核心素养。后，用价于x+1+12ax-11≤2x+5,【解题思路】不超过15的素数有2,3，等价于12ax-11≤x+4,答案标(7分)5,7,11,13,共6个，其中偶数为2，随机当x=0时，1≤4：选取2个不同的数，有15种结果，恰好含页卡上。当-1≤x<0时，由r2ax-1≥-x-4有2的结果有5种，所以所求的概率P=:一并交2ax-1≤x+4可得-2≤a≤1；音-放选D5.【答案】C第I老当00，可排除D.故选C2√/2+1【命题点拨】本题考查集合的基本概念6.【答案】D与运算【命题点拨】本题主要考查简单的线性1女生人【解题思路】由题意可知B=[-3,5],规划，考查的核心素养是逻辑推理、直观所以A∩B=[-3,-2).想象、数学运算.和女生2.【答案】D【解题思路】作出不等式组【命题点拨】1本题考查复数的概念及运算rx-y≤1【解题思路】因为1+z=(i+2m)(1-x+y+1≥0表示的平面区域，如图中阴数列{2),所以1+z=(i-1)(1-z),所以z=Ly≤21-2-1+21,得x=12i,则11+1=4+2y影部分所示.x=4-x=-2xy+2y+2）·2x-4'x-422.故选D.表示可行域内的点(x,y)与(4，-2)连线3.【答案】A双线后-的斜率由二)1，得点A的坐标为则z=x【解题思路】=1(a>0)y=2(3,2),由+y+1=0得点C的坐标为2的海渐近线方程为y=±二x,点(0,2)到渐x-y=1a225近线y=的距离为号，则(0,-),则号的最小值为号=4，最大值为。2=一子，可得：的最大值:·文科娄1-2a15,解得0=1.故选A√22+(-a)5为8，最小值为和为8+}-号故选D4.【答案】D猜题金卷·文科数学参考答案第25页（共36页）

令g(r)=c+已一3，A(x)=Ein(x+牙）易知g(x)在(-0,1)上单调递增.①当0≤x<1时，[g(x)].=g(0)=-1.[h(x)]=h(0)=1,所以g'(x)≥g'(0)=0(当且仅当x=0时等号成立)，所以g(x)在[0,1)上单调递增.②当r<0时，若-受0.设A,B两点所对应的参数分别为11，l2,则1十归=35，山12=6，…8分所以11>0，>0.所以高十丽☆+☆+片法-号10分6223.【命题意图】本题考查绝对值不等式的求解，绝对值不等式恒成立问题，考查逻辑推理和数学运算的核心素养.数学（理科）参考答案第8页（共9页）

令g(r)=c+已一3，A(x)=Ein(x+牙）易知g(x)在(-0,1)上单调递增.①当0≤x<1时，[g(x)].=g(0)=-1.[h(x)]=h(0)=1,所以g'(x)≥g'(0)=0(当且仅当x=0时等号成立)，所以g(x)在[0,1)上单调递增.②当r<0时，若-受0.设A,B两点所对应的参数分别为11，l2,则1十归=35，山12=6，…8分所以11>0，>0.所以高十丽☆+☆+片法-号10分6223.【命题意图】本题考查绝对值不等式的求解，绝对值不等式恒成立问题，考查逻辑推理和数学运算的核心素养.数学（理科）参考答案第8页（共9页）

M:Great!What kind of class do you offer?W:We have swimming,dancing,and strength training classes.Our experienced coach will guideyou in each class to help you achieve your fitness goals.M:I'm interested"in strength training.Can I try out a strength training class before I become amember?W:Yes.We offer a free class to everyone.M:That's fantastic!What are the opening hours?W:We are open from 6:00 am to 10:00 pm on weekdays,and from 8:00 am to 8:00 pm onweekends.M:I usually work late,so it's great to know that I can come here after work.I'll choose the yearlymembershipText 10M:Good morning,everyone:I am excited to tell you that our company's sports event will be heldthis Saturday at the city sports center.All workers can take buses to the city sports center for free.The buses will be parked on thestreet across from our company.For those who want to drive,there is a garage near the sportscenter.Workers can also go there by subway and get off at City Hall Station which is just a5-minute walk away from the center.There are a few things for you to keep in mind.All workers are required to arrive thirty minutesearlier.Besides,everyone needs to wear proper clothes,including the blue sports T-shirt given byour company,black sports shoes and white sports pants.In the event,safety comes first,and weexpect all competitors to play fairly.After the event,everyone should take away the trash.Let's make this sports event a memorable and enjoyable experience.And I'm looking forwardto seeing you all in the event!第31期测试题参考答案1-5 BCACA6-10 ACCBA11-15 BBCBC16-20 CABCA21-25 DCBBB26-30 ADCBA31-35 DCDCB36-40 GFABC41-45 CADDA46-50 BDBAC51-55 ADBAB56-65 (One possible version)56.where57.with58.an59.celebrated

M:Great!What kind of class do you offer?W:We have swimming,dancing,and strength training classes.Our experienced coach will guideyou in each class to help you achieve your fitness goals.M:I'm interested"in strength training.Can I try out a strength training class before I become amember?W:Yes.We offer a free class to everyone.M:That's fantastic!What are the opening hours?W:We are open from 6:00 am to 10:00 pm on weekdays,and from 8:00 am to 8:00 pm onweekends.M:I usually work late,so it's great to know that I can come here after work.I'll choose the yearlymembershipText 10M:Good morning,everyone:I am excited to tell you that our company's sports event will be heldthis Saturday at the city sports center.All workers can take buses to the city sports center for free.The buses will be parked on thestreet across from our company.For those who want to drive,there is a garage near the sportscenter.Workers can also go there by subway and get off at City Hall Station which is just a5-minute walk away from the center.There are a few things for you to keep in mind.All workers are required to arrive thirty minutesearlier.Besides,everyone needs to wear proper clothes,including the blue sports T-shirt given byour company,black sports shoes and white sports pants.In the event,safety comes first,and weexpect all competitors to play fairly.After the event,everyone should take away the trash.Let's make this sports event a memorable and enjoyable experience.And I'm looking forwardto seeing you all in the event!第31期测试题参考答案1-5 BCACA6-10 ACCBA11-15 BBCBC16-20 CABCA21-25 DCBBB26-30 ADCBA31-35 DCDCB36-40 GFABC41-45 CADDA46-50 BDBAC51-55 ADBAB56-65 (One possible version)56.where57.with58.an59.celebrated

①甲成绩的平均值低于乙成绩的平均值，推荐甲参加大运会甲乙②甲成绩的平均值高于乙成绩的平均值，推荐乙参加大运会8119③甲成绩的方差大于乙成绩的方差，推荐乙参加大运会.4712565④甲成绩的方差小于乙成绩的方差，推荐甲参加大运会。10130·一其中合理推荐意见的编号是(”)A.①③B.①④C.②③D.②④8.已知函数f(x)=2sin(x+p)(o>0,|pk)的部分图象如y右图所示，则八沿)=()A.3B.-5C.1D.-1已知双面线c:三茶-1口>06>0的左、右焦点分别为，5，过斤斜率为子的9.直线与C的右支交于点P,若线段PE恰被y轴平分，则C的离心率为()A为B.25C.2D.310.已知正数，y满足登+y=1,则上+子的最小值为()A.5B.号C.4D.311.已知正数a,b满足e+a=b+lnb=2(e为自然对数的底数)，则下列关系式中不正确的是（)A.beb=e2B.a+b=2C.e+Ina=2D.e+Inb=212.已知f(x)=e+e2r,则不等式f(2x+I)>f(x)的解集为()A.(兮，)B.山，)C.(-o,U0,+0)D.(-o,-10U(3;二、填空题：本大题共4小题，每小题5分，共20分13.已知f(x)=ln(x-1),则曲线y=f(x)在点(2，f(2》处的切线方程是14.抛物线有如下光学性质：过焦点的光线经抛物线反射后得到的光线平行于抛物线的对称轴；反之，平行于抛物线对称轴的入射光线经抛物线反射后必过抛物线的焦点.已知抛物线y2=4x的焦点为F,一条平行于x轴的光线从点A(5,4)射出，经过抛物线上的点B反射后，再经抛物线上的另一点C射出，则|BC上一15.已知正项等比数列{an}的前n项和为Sn,若a2=2,且S3=2a3-1,则Sn=16.在三棱锥P-ABC中，AB=PC=2N5,BC=PA=2,AP⊥PC,AB⊥BC,E,F,G,H,M,N分别为棱AB,PC,AC,PB,BC,PA的中点.现有以下3个结论：①三棱锥P-ABC的外接球表面积为16π；②EF⊥MN;③GH⊥平面EMFN,则其中正确结论的序号为数学（文科）·第2页（共4页)

①甲成绩的平均值低于乙成绩的平均值，推荐甲参加大运会甲乙②甲成绩的平均值高于乙成绩的平均值，推荐乙参加大运会8119③甲成绩的方差大于乙成绩的方差，推荐乙参加大运会.4712565④甲成绩的方差小于乙成绩的方差，推荐甲参加大运会。10130·一其中合理推荐意见的编号是(”)A.①③B.①④C.②③D.②④8.已知函数f(x)=2sin(x+p)(o>0,|pk)的部分图象如y右图所示，则八沿)=()A.3B.-5C.1D.-1已知双面线c:三茶-1口>06>0的左、右焦点分别为，5，过斤斜率为子的9.直线与C的右支交于点P,若线段PE恰被y轴平分，则C的离心率为()A为B.25C.2D.310.已知正数，y满足登+y=1,则上+子的最小值为()A.5B.号C.4D.311.已知正数a,b满足e+a=b+lnb=2(e为自然对数的底数)，则下列关系式中不正确的是（)A.beb=e2B.a+b=2C.e+Ina=2D.e+Inb=212.已知f(x)=e+e2r,则不等式f(2x+I)>f(x)的解集为()A.(兮，)B.山，)C.(-o,U0,+0)D.(-o,-10U(3;二、填空题：本大题共4小题，每小题5分，共20分13.已知f(x)=ln(x-1),则曲线y=f(x)在点(2，f(2》处的切线方程是14.抛物线有如下光学性质：过焦点的光线经抛物线反射后得到的光线平行于抛物线的对称轴；反之，平行于抛物线对称轴的入射光线经抛物线反射后必过抛物线的焦点.已知抛物线y2=4x的焦点为F,一条平行于x轴的光线从点A(5,4)射出，经过抛物线上的点B反射后，再经抛物线上的另一点C射出，则|BC上一15.已知正项等比数列{an}的前n项和为Sn,若a2=2,且S3=2a3-1,则Sn=16.在三棱锥P-ABC中，AB=PC=2N5,BC=PA=2,AP⊥PC,AB⊥BC,E,F,G,H,M,N分别为棱AB,PC,AC,PB,BC,PA的中点.现有以下3个结论：①三棱锥P-ABC的外接球表面积为16π；②EF⊥MN;③GH⊥平面EMFN,则其中正确结论的序号为数学（文科）·第2页（共4页)

答案为A.说明：求解过程也可求导.二、填空题：本大题共4小题，每小题5分，共20分.把答案填在答题卡上13.解：设z=a+bi,a,beR,则d=Va2+b2因为z-z=1-3i,所以Va2+b2-a-bi=1-3i,所以Va2+b2-a=1b=3所以a=即z=4+3i,所以=V42+32=5.b=3答案为5.14.解：作出可行域，如图，x-y=03x+2y0y-、xy-1=0令y=-1可得A-1,-1),y=x,可得Bx+y=111y=x2设z=3x+2y,则直线3x+2y=z过点A(-1,-1)时，z取最小值-5，过点时岁时，：取最大值子因3+2的浸大值是5答案为5.15.解：比较同时开放m1,,两个安全出口与同时开放m2,两个安全出口，可得m比m快；同理得m,比m,快；m,比m快.所以疏散乘客用时最短的一个安全出口的编号是m2:答案为m216.解：由41+a4=a2+43得a,1+q)=a(q+q),于是(q-1)2(q+1)=0.又q≠1，所以q=-1.又a1=1.于是S,-40-g2-1-（少所以3.+5-t_4(1-9)_1+t-(-1)”1-9221-q22+5,1=-1.1一（-1少是等比数列，当1=-1时，S+2一2答案为-1.三、解答题：本大题共6小题，共70分解答应写出文字说明、证明过程或演算步骤.17.(本小题满分12分)解：(1)由题意可得：2 sin Asin B-(cos Acos B+sin Asin B)=21整8sA如8-co8-5.e0NA+分：…3分2于是cosC=V.因为C∈(0，)，所以C=刀4…6分2

19.(12分)如图，在三棱锥P-ABC中，H为△ABC的内心，直线AH与BC交于M,∠PAB=∠PAC,∠PCA=∠PCB.(1)证明：平面PAM⊥平面ABC;(2)若AB⊥BC,PA=AB=3,BC=4,求三棱锥M-PAC的体积.20.(12分)已知椭圆E:答+茶=1a>b>0)经过A0,1),T-g,-)两点，M,N是箱圆E上异于T的两动点，且∠MAT=∠NAT,直线AM,AN的斜率均存在，并分别记为k1,k2.(1)求证：k1k2为常数；(2)证明直线MN过定点，21.(12分)已知函数f(x)=ae一x2有两个极匪点x1,x2.(1)求a的取值范围；(2)若x2≥3x1时，不等式x1十λx2≥2x1x2恒成立，求入的最小值.(二)选考题：共10分。请考生在第22、23题中任选一题作答，如果多做，则按所做的第一题记分。22.[选修4一4：坐标系与参数方程](10分)在直角坐标系xOy中，直线l的参数方程为x=2+3·(:为参数).以坐标原点0为极点，(y=tx轴的正半轴为极轴建立极坐标系，曲线C的极坐标方程为4o2sin0=3(p2一1).(1)求C的直角坐标方程；(2)设直线L与曲线C交于A,B,求AB|23.[选修4一5：不等式选讲](10分)设函数f(x)=|2x一3|+|2x十1.(1)解不等式f(x)≤6一x;(2)令f(x)的最小值为T,正数x,y,之满足x十y十2z=T,证明十中十异2≥号数学（文史类）试题第4页（共4页）

榆林市2022~2023学年度第二学期普通高中过程性评价质量检测高二年级数学（理科）试题注意事项：1.本试卷共4页，全卷满分150分，答题时间120分钟。2.答卷前，考生务必将自己的姓名和准考证号填写在答题卡上」3.回答选择题时，选出每小题答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑.如需改动，用橡皮擦干净后，再选涂其它答案标号.回答非选择题时，将答案写在答题卡上.写在本试卷上无效。4.考试结束后，监考员将答题卡按顺序收回，装袋整理；试题不回收一、选择题：本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的，1.已知集合A={x|0<2x+1<2},B={-1,0,1,2},则A∩B=A.{-1,0,1}B.{1,2}C.{0,1}D.{0}2.已知向量a=(m+3,2),b=(m,1),若a与b共线，则实数m的值为A.-3BC.3D.13.等差数列{an}的前n项和为Sn,且a4+a,=16,则So=A.30B.40C.60D.804.下列函数中，在区间(-1,1)上单调递增的是A.y=sin 2xB.y=InxC.y=2D.y=tan x5.某社区通过公益讲座以普及社区居民的垃圾分类知识.为了解讲座效果，随机抽取10位社区居民，让他们在讲座前和讲座后各回答一份垃圾分类知识问卷，这10位社区居民在讲座前和讲座后问卷答题的正确率如图：100%95%90%部85%器80%*讲座前芦75%•讲座后70%65%60%01234567890→居民编号(第5题图)则A.讲座前问卷答题的正确率的中位数小于70%B.讲座后问卷答题的正确率的平均数大于85%C.讲座前问卷答题的正确率的方差小于讲座后正确率的方差D.讲座后问卷答题的正确率的极差大于讲座前正确率的极差

reliable person,and I am excited about the opportunity to work in the school music club.Thank you for considering my application.I look forward to hearing from you soonYours,Mary2

20.解：(1)y2=8x4分(2)设直线1的方程为x=y-2,xy),B(x2y),则由x=少2y2=8x,得y2-8y+16=0Δ=64(t2-)>0.了+y2=8(y2=166分:A=6AFyw=7y7分SMBF SABNF-SMAIE =2(yal-lyD=2y2-2ySMNIN SANAIF -SMAIF =2(lyN-yD)=12y9分SMmF+SMN=10y+2y:220y 2y2 =165…11分(当且仅当45，为=45时，”成立之)12分21.解：(1)函数f(x)的定义域为(0，+∞)0y=-2+2x=2r2-2_2(x+x-)2分令f(x)'=0,得x=-I(舍去)或r=1.当x∈(0，I)时，f(x)'<0:当r∈(1，o)时，f(x)'>0∴函数f(x)在(0,1)上为减函数，在(L,+o)上为增函数5分(2)当a=2时，f(x)=2lnx+x2-1f=2+2x>0,且f(1)=0∴.函数f(x)在(0，oo)上为增函数7分.有两个不相等的整数m,n,满足f(m)+f()=0.不妨设02,即证n>2-m,即证f()>f(2-m)

19.（本小题满分12分)世界读书日全称“世界↑频率组距图书与版权日”，又称“世界图书日”，最初0.012520.(本小题满分12分)已知椭圆E号+苦-1。>6>0.离心率为2，短轴长为25，的创意来自国际出版商协会.1995年正式0.0100(1)求椭圆E的方程，确定每年4月23日为“世界图书日”，设立0.0050(2)设A,B分别为椭圆E的左、右顶点，点Q在椭圆E上且异于A,B两点，直线目的是鼓励更多的人去阅读，希望所有人0.025AQ,BQ分别与直线x=一4相交于点M,N.当点Q运动时，以MN为直径的圆是都能尊重和感谢为人类文明做出过巨大贡020406080100120140160消费金额分否经过x轴上的定点？试证明你的结论。献的文学、科学、思想大师们，保护知识产权.每年的这一天，世界多个国家都会举办各种各样的庆祝和图书宣传活动.某大型图书商城在2022年世界读书日做促销让利活动，极大地带动了当地民众购书的热情，进一步提升了图书销量.现从当天的购书人群中随机抽取了500人，按他们的消费金额（单位：元）进行统计，得到如图所示的频率分布直方图。(1)求频率分布直方图中a的值；(2)估计该图书商城1500人的购书人群中消费金额低于80元的人数，过(3)为了刺激消费，回馈读者，该图书商城制订了两种抽奖赠送代金券（单位：元）的方案（如表所示），1(4方案A(=4代金券金额1015概率32((-3方案B代金券金额020概率抽奖规则如下：①购书消费金额低于80元的读者按方案A抽奖一次；②购书消费金额不低于0元的读者按方案B抽奖两次。记X为所有读者中的任意一人抽奖时获赠的代金券金额，用样本的频率代替概率，求X的分布列和数学期望E(X).数学理科试题第6页（共8页）数学理科试题第5页（共8页）