（2）当n>0时，若CM=2MN，求n的值；（2）求AD的长（1）用尺规过点C作直线AD的垂线CE，垂足为点E（保留作图痕迹，不写作图过程），计算点C到水20.（本小题满分8分）如图为一建筑物的示意图，AD为水面，建筑物顶点C在水面D处的北偏（1）求m的值及直线L的函数表达式；-2），直线y=n分别交y轴，直线t，直线L于C，M，N三点20m，CD的长为200m西60°方向上.测得AB的坡度为i=1:2.4,BC的坡度为i=1:0.75，点B到水面AD的距离为面AD的距离；数学试卷（冲刺一）第5页（共8页）ynC（1）当点P，B重合时，试判断直线AQ与OO的位置关系，并说明理由；22.（本小题满分9分）如图1，在扇形纸片AOB中，LAOB=90°点P在半径OB上.嘉琪沿折痕AP（3）设点P（a,2a）关于直线y=2的对称点为Q，若点Q在直线,，直线,和y轴图成的△0AB内部把△AOP翻折得到△AQP，点O的对称点为Q.（包括边界），直接写出a的取值范围数学试卷（冲刺一）第6页（共8页）

20.如图2求至少购买A种奖品多少个？m(o-mjsX30-X(1)000（2）20x+13120RhAI2m3m'五、解课题如何测量南昌之星摩天轮的高度21.运测量工具测角仪，皮尺等级生星摩天轮顶端B的仰角为45°，再沿CA方向走53m到达点E成处，此时测得南昌之星摩天轮顶端B的仰角为56°.信B说明：点A,B,C，D,E,F在同一测量方案面内，点A,C，E在同一水线上图1图2（1)LDBF的度数为（2）请你根据表中信息帮助该数学兴趣小组求南昌之星摩天轮AB的高度.（结果保留整数，参考数据：sin56°~0.8,cos56°~0.6,tan56°~1.5)113A7+1+9921-二178.69.0x901=1450~79m106406

又DM与AC交于点N，ANAM1所以ANM~△CND，则CNCD2所以AV=AC又AB=a,AD=b，所以BN=AN-AB=AC-AB=AB+AD-ABAB-AD3故选：A6.D【分析】函数中含有正弦和余弦两个元，则必然消元，再利用函数的图象解题即可得解，【详解】解：y=cosx+4sinx=-sin²x+4sinx+1，令sinx=t，即x∈6故选：D.【点晴】本题考查了三角函数的化简和三角函数的性质，考查了函数思想和数形结合思想的应用，属于中档题.7.C【分析】化简函数f（x)的解析式，利用正弦函数、余弦函数的基本性质可求出f（x）的最大值和最小值，即可得解当2kπ≤x-

19.（17分）在面直角坐标系xOy中，已知点A（0，-1），B点在直线y=一3上，M点满足MB//OAMA·AB=MB·BA，M点的轨迹为曲线C.（1）求C的方程；（2）P为C上的动点，L为C在P点处的切线，求O到L距离的最小值题答要不内线封弥【2026高考真题分类卷·数学（十）第6页（共6页）】

相冲突”是根据ifthe findings apply to real-world tests撰写的干扰项，但文中的意思是要看研究结果是否适用于实地测试，二者是否冲突还未知；C项“它们只适用于浅水区”和D项“它们与公海无关”是对 Shallow coastalwaters may respond differently to alkalinizationcomparedwiththeopen-oceansettingsthestudymodelled（沿海浅水区对碱化的反应可能与研究模拟的公海环境不同）的曲解。D篇主题语境：人与社会一一科学与技术本文是说明文。文章讨论了人工智能在医疗领域的应用，强调人工智能在提高诊断效率、减轻行政负担和优化人员配置方面的潜力，同时指出需关注数据隐私、伦理和文化敏感性等问题。32.D。理解主旨要义。第二段提到预计到2030年，全球医疗领域将面临近1000万医生和护士的严重短缺，同时还要应对人口老龄化带来的需求增加。这些内容主要阐述了医疗行业面临的挑战。段落中虽提及人口老龄化这一背景，但重点并非阐述人工智能对老龄化人口的影响，而是强调老龄化人口带来的需求增加与医疗人员短缺共同构成医疗行业面临的挑战，故A项不正确；此段并没有具体描述有人工智能参与后医疗行业未来的发展态势，只是笼统说了人工智能有助于解决医疗行业的困境，B项也不是本段中心内容；本段只是陈述了医疗行业面临人员短缺问题，并没有针对此问题提出具体的解决方案，C项也错误。33.B。推断。第三段中提到了放射科医生，该段采用了“观点一举例”的语篇模式，首句为本段观点：将人工智能融入诊断服务能够促进医疗组织的诊断和治疗决策，从而改善患者的治疗效果；接着以放射科医生为例，指出他们每天需要读取数百张医学图像，而人工智能可以帮助他们更快、更准确地分析X射线和MRI等图像。这一例子就是为了体现人工智能在诊断方面的辅助作用，B项正确。D项干扰性较强，但例子中人工智能的作用是辅助分析医学图像，而不是创建医学图像，所以D项错误。34.B。理解具体信息。根据第四段中的NewAItoolscanhelpreduceburmout..entering dataforelectronichealthrecords（人工智能工具通过自动化诸如电子健康记录数据录入等手动重复任务，减轻了员工的工作负担，减少了员工倦怠，使员工能够将更多精力放在患者身上）和第五段中的we areincreasinglyusingAIanalytics to streamline thisprocessresearchdemonstratesthatitpositivelyimpactsproductivity（我们越来越多地使用人工智能分析来简化人员配置流程，包括尝试将以前一起工作过的团队成员组合在一起，因为研究表明这样做对提高工作效率有积极影响）可知，人工智能能减轻医疗员工的工作负担并提高工作效率。A项是根据 nurse staffing has been a highly manual process relying on phone calls and textmessages（护士人员配备一直是一个高度手动的过程，依赖于电话和短信）和workedtogether撰写的干扰项，但此处提到的电话和短信以及合作并非表明人工智能能够改善医疗员工之间的沟通与合作；C项不正确是因为人工智能不是帮助做复杂行政任务，而是自动化简单重复的任务；人工智能是用于优化护士人员配置流程，例如将之前一起工作过的团队成员进行配对以提高工作效率，而不是自动配对临床医生和患者，所以D项也不正确。35.C。推断。根据最后一段中的TheWorldHealth Organization..onlyifhumanrights areputat theheartofits designanduse可知，世界卫生组织指出，只有将人权置于人工智能设计和使用的核心，人工智能才能实现改善全球医疗服务的潜力。这意味着在医疗中使用人工智能应以人为本，把人们的需求放在首位。A、B、D项虽然都在此段有所提及，但不是WHO强调的核心原则。【词汇链接】staffing（para.5)：人员配置第二节

60.which。考查关系代词。本句中用了“介词+关系代词”引导的定语从句修饰先行词thedegree，说明是什么样的程度，因为先行词thedegree指物，故填which。句意：她想探究食物对梦境的影响程度。61.took。考查一般过去时。根据上句中的basedherresearchona2015study和本句中的the2015study可知，.设空处所表示的动作发生在过去，应该用一般过去时，故填took。62.frightening。考查形容词。设空处作定语修饰nightmares，且表示“令人害怕的”，应该用形容词，故填frightening。句意：St-Onge博士发现，患有胃部疾病和乳糖不耐受的人做的噩梦更吓人，且更频繁。63.probably。考查副词。设空处作状语修饰have，应该用副词，敌填probably64.adults。考查可数名词的复数。根据句中的about85percentof可知，设空处应该用表示复数意义的名词，故填adults。65.experiencing。考查动词-ing形式。本句中用了with复合结构，about5percentofpeople与experience在逻辑上为主谓关系，设空处应该用动词-ing形式，故填experiencing。句意：以前的研究表明，大约85%的成年人每年至少会做一次噩梦，其中约5%的人经常做噩梦。

学科网组卷网44.Why is the example of Northeast “stewed fish”mentioned in the passage?A.To show healthy eating can still be delicious.B.Toexplain low-costmealsarenecessaryforweightlossC.To prove traditional Chinese food is becoming unpopular.D.To state fish should take the place of all meat spending.45.Whichofthefollowingcanbetherole ofcommunitiesintheplan?A. They will build gyms in every neighborhood by 2030.B.Theyfocus on strict diet control for teenagers.C.They aim to educatepeople about lastinghabits.D.They care about medical treatments more than protection.Dattractingmanydramafans anddigital technologylovers.Theprojectmakesitpossible tobring usbacktotheancient Luoyang by using VR technology.Theprojectwassetin a theaterwhichcovers about300squaremetersinShanghai.It created a highlyrealisticenvironmentusingVRtechnology,Inside-outTrackingtechnologyandothertechnologyandothertechnologiestoset up differentrops,such ashorses,ships,and tools.1,300years agotovisit”the ancient city ofLuoyang.Inside the theater,theycannotonlyplayroles inthe dramabut alsochooseclothes and takephotos accordingto theirinterests.The application ofVR technology allows tourists towalk in the theater and experience the ancient life ofLuoyang,andfeel thecharmoftraditional Chineseculture.This project successfully creates anewway to spread Chinese culture through usingVR technology.What'smore,itbringsmoderntechnologyintoourdailylivesandcreatesanall-immersive（(拟真的)experience46.Whatcanweknow about theproject?A.It aims atyoungtechnologyloversB.It stressesbothfunandculturaleducation.C.It creates a high theatre environment.D.Its success depends on the size of the theater47.What does theunderlinedword“props”inParagraph2probablymean?A.People who perform in the theater.B.Areas or spaces within the theater.C.Specialeffects created by technologyD.Things used on the stage in a performance.第10页/共19页

X版责编：石维佳24-25（下）第T6期室九年级 杭州专版双语学报（上接B3版）please beveryquiet whenwe are thereBythe和阅读下一小题。每段对话仅读一遍。1.W: Do you like pop music?waystryxfanyf第四部分：M:No,I don’t.But I like country music.Whatare interested in historical facts,I suggest hat【写作指导】about you?you ask to join his group.If you are interested in1.任务分析：本篇作文要求根据e-mail内容写W: I like both of them.leaningoreabout theamazingcitythreis回信。2.M: Jane,I like the movie because the actorsguide book on sale in the hotel. It costs 2.50.1主题：人与社会之社会服务与人际沟通act well and the story is wonderful.hope you will enjoy the tour. See you all文体：应用文W:But I like themusic in the movie It soundstomorrow morning!Try not to be late!时态：以一般现在时为主参考答案so beautiful.人称：以第一人称为主3.W: It's cool these days in Kunming.What is（One possibleversion客观题除外）2.行文布局the weather like in Hangzhou?第一部分：本篇书面表达可按照以下框架完成。M: It has been too hot these days.I want to1-5BACCC6-10 BACBC 11-15BAABC开头：问候并表达喜悦之情live in Kunming.第二部分：主体：回答来信问题4.W: How much is one ticket to the zoo?19-22ABCD 23-26BCDD结尾：表达期望16-18DBCM:It is 10 dollars each.But students can get27-30DCCD 31-34DEAC3.可用句型结构one at half price.问候并表达喜悦之情的句型：W:Four studentsticketseayoung age helps kids build good habits andGood aftermoon! I am happy to..5.W:1'm going to Shanghai.Good afternoon!I had the pleasure of.M:Will you stay in the hotel?It is too expensive.becausekidsaaeadybuyandeaHello! It's a pleasure to hear from you!W:No.My sister has a big house there.do not have enough time or materials.表达观点的句型：第二节：第三部分：I think it’s really a great idea because.听下面3段对话或独白。每段对话或独白I personally would prefer...because...第一节后有几个小题，从题中所给的A、B、C三个选36-40BACDB 41-45 ABCBD 46-50CBDCAI would really love to ...项中选出最佳选项，并标在试卷的相应位置。第二节I must say that I find it to be..52. l0ooking听每段对话或独白前，你有时间阅读各小题，53.differenceIbelievethatmanypeople shareyloveor..51.all the time每小题5秒钟。听完后，各小题将给出5秒钟54.much55.choices56.amongAs formeIwould rer it fsnce..的作答时间。每段对话或独白读两遍。57. streets58.outside59.perfectI am particularly fond of .听下面一段对话，回答第6至第7两个小题。60.anywhere62.changing61.videoI am open to...63.simple 64. expensive 65. dreamI believe... is a wonderful idea as...M: This is Simon speaking. I'm calling to ask表达期望的句型：第三节for some advice. I failed again in my English66. for67.more convenientI hope... helpful.I hope ... help(s).exam yesterday.68. to expressIhope.. beneficial to you.69.events70. surprisedW: What's your problem?71.exactly72.the73.because【范文展示】M: I can't remember words and I have dificulty74.their75. encouragesDear Mrs Rose,in writing.第四部分：Good afternoon! I had the pleasure of receivingW: As for vocabulary, you can spend ten minutes【写作指导】your email.a day on them. Just remember the words1.任务分析Imust say that I find it tobe an excellent proposal.you're not so familiar with. Write them本篇书面表达要求写一封邮件介绍一个好I believe that many people share my love fordown on a notebook and try to make惯。sentences with them.主题：人与自我之生活与学the movie nights could be held on Mondays sinceM: Thanks. What about writing?文体：应用文Fridays are typically kept for spending time withW: Why not find a pen friend and write to each时态：以一般现在时为主my family.Iam particularly fond of action movies,other?人称：以第一人称为主but Iamopen towatchingflms of diferent tpes.M: How can I find a pen friend?2.行文布局Also,Ibelieve that offering some food or drinkW: I can introduce Mark to you. He's from London.本篇书面表达可按照以下框架完成。during the films is a wonderful idea as it is aM: That's really nice of you!开头：引出话题，回应笔友的问题common practice in cinemas. I think it would听下面一段对话，回答第8至第10三个主体：介绍该惯的具体做法、带来的好处improve the movie-going experience for everyone.小题。以及自己的感受They're all my points and I hope they help.W: Hey, Charles. Did you go boating at the park结尾：鼓励对方养成好惯，表达期待Best regards,as you had planned yesterday afternoon?3.可用句型LynnM: No. I heard on the radio that it was going to引出话题：第T5期be windy, so I didn't go. I stayed at homeYou asked about a good habit I keep.and watched a movie instead.B1 版 Keys:(One possible version)I'd love to share .. with you.W:It seems that it is very windy this time of year.A)I believe good habits can help us a lot.1. are invented 2. serve3.at leastM: That's true. Spring is like that in our city.So介绍惯和好处：5.keepswhat is the weather usually like in your city4.GermanMy good habit is...in spring?B)I have a good habit of..2.moving3.instead ofW: It rains a lot and it's cool.1.whenI usually get up at..M: How about the weather in summer?4.Volunteerss5. store'sIt gives me enough time to...W:In ummeritsusuallerytC)It helps me think clearly and write better.2.library3.undergoing swimming. What about summer here?1.decided表达感受：M: It's not hot at all. Summer here is a very4.delicious5.bottom6.bothThis habit helps me feel.9.outsidecomfortable season.8.saladIfeel happywhen Ikeepdoing it vryay.7.freshW: You must love living in this city, Charles.10.excitedM: Certainly. I fell in love with it right after Iorganized.D)moved here at twelve years old.1.spring2.west3.traditions【范文展示】5.welcome6.thousandsDear Linda,4.lived9.hourM: Yes.Glad to hear from you!You asked about agood7.pounds8.winners听下面一段独白，回答第11至第15五个habit I keep.I'd love to share it withyou.10.imagine小题。E)(W) Hello, everybody! My name is Tracy.I1.allowed2.exactly3.April 4. southupat 6:30 every morning.Itgives me enough5.journey6.map7.ticket 8.sleeptime to eat breakfast and review my lessons.other guides are Peter and Andy.We'll take you9.alongSometimes I also read a book to start the day.10.screenon a tour around the city.The tour tomorrowB2B3B4版Keys：starts at10:00amandfinishesat about 6:00pm.中考英语全真模拟训练（五）I suggest you bring anumbrella as it is said that听力原文及参考答案it islikelytorainAndwear comfortablewalking听力原文makes me more organized.shoes if you canDon't forget your camera as第一节：Hope you can also find a habit that suits you.there will be lots of chances to take pictures.听下面5段对话。每段对话后有一个小Looking forward to your reply!We'll visit St Paul's Cathedral, the Tower of题，从题中所给的A、B、C三个选项中选出最Yours,London,Buckingham Palace and Big BenThere佳选项，并标在试卷的相应位置。听完每段对Li Huaaremorning services in St Paul's Cathedral,so话后，你都有10秒钟的时间来回答有关小题

move to the so-called wildland urban interface.Aging forests also contribute.Older andmature trees absorb less carbon than younger trees of the same species, and U. S. forests arerapidly aging，the report has found.答案解析网"More aggressive forest management can help by cutting down a small portion of agingforests to make way for younger trees that absorb more carbon. However, a thorough studyof each forest should be done to see which older trees should be removed and how before taking32. What does the underlined word “plummeting" in paragraph 1 most probably mean?A. Recovering slowly.B.Growing stably.答案解析网C. Dropping sharply.D. Changing secretly.33. What is a prediction of the USDA report?答案解析网A.Forests will be a big carbon emitter.C. Emissions from forests will become fewer. D. More natural carbon absorbers will appear.34.What is paragraph 5mainly about？答案解析网A.Who is responsible for the loss of forests.答案解析网B.How forests recover from natural disasters.答案解析网C. What damage destroyed forests bring about.答案解析网题D. Why forests are losing their ability to absorb carbon.答案解析网35.What does Riley suggest doing？答案解析网A. Restoring aging trees.B. Putting a ban on cutting trees.答C. Doing an assessment of forests.D. Loosening forest management.第二节（共5小题；每小题2.5分，满分12.5分）答案解析网要阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。选项中有两项为多余选项。答案解析网Most of you may want your kids to stay away from social media because it can bring harm. But不social media can have a positive effect on them, like helping them learn how to communicatewith others, improve relationships and deal with somebody who isn't being kind to them.内36. If you decide to let your kids use social media, follow a few tips to help them betterexplore the social mediaworld.答案解析网Talk to your kids. From the beginning, it's important to have an open and honest线conversation with your kids about what social media is and what it can be used for. Ask whythey're interested in having an account on a particular platform and what they want to use it封for.337答案解析网Limit screen time. The American Academy of Pediatrics(J科） recommends limiting密screen time to two hours a day for kids. 38 , but parents should also focus on a biggerpicture making sure your kids are getting enough physical activity and face-to-face interactions.Monitor their usage.39，whether that's scrolling through(滚动浏览） their tablet orphone or using a social media monitoring tool. “See what apps are there and familiarizeyourself with those," psychologist Kate Eshleman says.“Ask yourself if this tool is going tofit your goal.答案解析网40. Easier said than done, right? But practicing safe and healthy social media behaviors infront of your kids really matters. “It's much harder for kids to understand the potentialEshleman says.答案解析网A.Bearolemodel答案解析网B. That's a good guideline 答案解析网C.Check on what your kids are consuming 答案解析网D.Put a ban on improper social media behaviors 答案解析网E.As they start venturing into the world of social media, keep talkingF.Parents should know how to interact with their kids on social mediaG. Therefore, no social media at all might not be the best solution for your kids【2026届高三单元卷·英语（四）第5页（共8页）】

11.Howoften doesAnnapaint?A.Once a week.B.Twice a week.C.Three times a week12.HowdoesAnnafeelwhen shefinishes a picture?A.Proud.B. Joyful.C.Relaxed.听下面一段对话，回答第13至15三个小题。13.What'sBenbusy doing？A.Making a model plane.B.Preparing a robot show.C.Doinga science experiment.14.What is Lisa good at?A.Chemistry.B.Physics.C.Biology.15.What are thespeakersmainly talkingabout?A.The weekend plan.B.The personal hobby.C.The school science festival.第三节听下面一篇短文。用所听到的内容填写表格中所缺信息，每空仅填一词。短文读两遍。Life in 16.yearsCarsMorecarswill runoncleanenergy.Self-driving carswillbesafer.CitiesNew cities may be built in the 17.Thelower part can be used for traffic while theupperpartwill beusedforpeopletolive.Food?Biotechnologywill makefoodtastierand18.Crops that aren't affected byinsectswill be developed.Home appliancesThey will19.more quietly and useless power.（家用电器）?Theywill alsobecontrolledbyvoiceHealthcareNewmedicineswill beused todealwith20Peoplewill live a longer life.第2页共11页