（3）若嘉嘉不起跳直接投篮时，篮球的运动形状与跳起投篮时相同.他想投中篮筐，则应该向前走多（1）求篮球离地面的高度y（米）和水距离x（米）之间的函数表达式；（2）当篮球出手时，计算嘉嘉跳离地面的高度h的值；少米？图的面直角坐标系嘉嘉起跳终点C上方2米A处投出，与篮筐B水距离为1.5米处达到最大高度3.5米，篮球沿B.已知篮筐B的高度为3.05米，与投篮处0的水距离为4米，嘉嘉的起跳高度为h米，篮球在一条抛物线运动，以地面0点为原点，水地面为x轴，过点0垂直于地面的直线为y轴，建立如数学试卷（冲刺一）第7页（共8页）（3）连接DF，若AD=，DF²=y，求y与x的函数关系式；（2）当点D在AB上运动时，求FG的最小值；（1）当AD=BD时，求正方形CDEF的面积；24.（本小题满分 12分）如图1，在R△ABC中，LACB=90°，AC=BC=4，点G为BC的中点，点D为AB边上的动点，连接CD，以CD 为边在CD右侧作正方形CDEF，连接FG：数学试卷（冲刺一）第8页（共8页）id

22.如图，在物线y=个已知A图1OBIBL图2S阳=S扇—SBODB是直经(1)(2)OAD=S摩天轮二20元4d五、解答题（本大题共2小题，每小题9分，共18分）六、23成A，B，C，D，E五组进行统计），得到以下信息：信息1：男生成绩的频数分布表和女生成绩的扇形统计图如下：女生成绩的扇形统计图男生成绩的频数分布表成绩人数组别90≤x≤1005A108°36°06>x≥0814BC17人70≤x

此时，f（x)=（sinx+cosx)-

2026届高三单元阶段综合卷·数学（六）参考答案1.B双曲线的方程可化为1，所以渐近线方程为y=士2x.故选Ba4a故选C.3.B因为|AB|+|AC|=12>|BC|，所以A点轨迹对应图形为椭圆（排除两长轴端点）且2a=12，即a=6，c=r1（x≠0）.故选B4.A由y=√1-x²，得x²+y²=1（y≥0）表示以（0，0）为圆心、半径为1的半圆（如图），y=mx十1，表示与y轴交于点（0，1），斜率为m的直线，据题设知，直线y=m.c5.CP点的轨迹是双曲线r"=1的右支，设Q（x，y），由|QF|2-丨QF2|²=45可得（x+3）²+y²-（x-3）²-y²=4，整理得Q点轨迹方程为x=，所以IPQ|mm=2-=.故选C.=-9，所以xx=-18，|MF|+3|NF|=36，即x=-√3x时等号成立故选A.7.A由题意知c=√3，a=2，所以C的方程为+y²=1.设M（x，y），N（x2y），P（x，3），则y=一2x，y=2x，因为四边形PMON为行四边形，所以x+x=x+0=（yy）x1-x2yo即2又点P在椭圆C上，所以y+y=y+0=2（x2-x），（y1-y=-2.xo，+y²=1，所以y=1-63，因为-2≤x≤2，所以0≤x≤4，|MNlmx=4.故选AV48.A设E的左焦点为F，AF=m，连接AF，CF，BF，则FC=3mAF'|=2a+m，|CF'|=2a+3m，|FF'|=2c，因为BF⊥AC，由双曲线的对称性知四边形FAFB为矩形.在Rt△AF'C中，由AF+AC=|F'C|²，得（2a+m）²+（4m）²=（2a+3m）²，化简得m=a.在Rt△AF'F中，由|AF|2+|AF|²=|F'F|²，得（3a）²+a²=（2c）²，化简得2即离心率e=10故选A.【2026届高三单元阶段综合卷·数学（六）参考答案第1页（共4页）】

主题语境：人与自我一一生活本文是说明文。文章就如何避免冲动消费提出了几点建议。36.E。设空处前文提到经常冲动消费的话，每月、每年以及一生的花费金额就会很大，后文列举了一系列防止冲动消费的方法，所以设空处应引出如何防止冲动消费这一话题，E项符合语境，起到承上启下的作用。37.A。设空处前文表示首先需要制定预算，A项中的Then呼应前文的Firstthingsfirst（先做最重要的事），keeptoit中的it指代前文中的budget，且keeptoit与段落标题中的sticktoit和下文提到的followthroughwiththatplan（贯彻那个计划）相呼应，强调不仅要制定预算，还要切实遵守，符合语境。38.G。本段小标题Give yourself permission to spend强调要允许自己适度消费，设空处后文说已经在预算中为奖励或款待预留了一小部分钱，所以这不属于冲动消费。由此可推知，设空处应指出制定预算时为自己预留一部分资金，故G项“但在预算里留出一点娱乐资金也很重要”符合语境，其中But表示转折，引出在坚守预算的同时，也要有娱乐消费的资金，符合上下文逻辑。39.F。设空处后文说不要让倒计时催促你买任何东西，因为促销活动还会再来。由此可推知设空处应提到一种符合倒计时购物的场景，故F项“要小心那些仅24小时有效的优惠活动”符合语境。dealsthat areonly goodfor 24hours与后文的countdown相呼应，提醒人们要小心限时优惠，不要因限时而冲动购买。40．C。设空处为段落小标题，应能概括段意。后文内容强调，不要让情绪控制消费惯，因为这可能会导致冲动购物，无论是在好日子搞劳自已还是应对坏日子。要解决这一问题，需要注意，无论是想庆祝什么还是试图让自己振作起来，当自已的情绪剧烈波动时，都不要购买任何东西。C项“情绪激动时避免购物”能够概括该段主旨。【句子赏析】Whether you're celebrating or trying to cheer yourself up, don't buy anything when your emotionsare riding a roller coaster. (the last para.)作者用emotions areridingarollercoaster（情绪像坐过山车一样）来形容情绪的剧烈波动，既形象又贴切。过山车的比喻让人联想到情绪的起伏不定，增强了句子的表现力。语言运用第一节主题语境：人与自我一一生活本文是记叙文。作者从60岁开始学六角手风琴，在自学和坚持练中找到了成就感。41. C。 根据 I was 60 when I started learning to play the concertina. All my life I had enjoyedlisteningtomusic可知，作者60岁才开始学演奏六角手风琴。他一直喜欢听音乐，但不是个“演奏者”42.B。43.A。根据hadto..havesurgery andchemotherapy可知，作者患了一种高风险的（high-risk）疾病，不得不快速出售了自己的店铺（sellup），然后接受手术和化疗。stress-related（与压力相关的）、occupational（职业的）和preventable（可预防的）均与下文提到的应对情形不符。runaway（逃跑）、setoff（出发）和breakin（闯入）均不符合语境。44.D。根据whichgaveme timeto thinkabout...可知，作者在医院待了一个月，故选spent。45.C。根据上文提到的“60岁”和出售了自己的店铺可知，住院让作者有时间思考退休后做些什么。46.B。根据Itwastime...todreamsomedreams可知，作者觉得是时候去做一些梦，建造

2025-2026学年上学期高二北师大（全学年三册书）第17、19、21、23期参考答案及解析参考答案1-5CCABA6-10 CBCBB11-15CACBB16-20AACBA21-25 DCDCD26-30 BDBDA31-35DADAC36-40ACEFB41-45 CBBAC46-50DADBD51-55 BCADC56. joining57.herself58. to engage59.and60. why61. interesting62.courses63.abandoned64.positively65.with写作（划线部分为精彩表达）第一节One possible version:Dear Emily,I am a senior 2 student.l amwriting to apply for theposition of studentreporter for ourschool English newspaper.Firstly,I am a good observerwho is sensitive enough tonotice newsworthy events.Secondly,viewpoints.Lastbutnot least,I have strongwritingskillsthat allowme to approachsubjectsfromqualificationsforthisposition.Thank you for considering my application. I'm looking forward to your reply.Respectfully,Li Hua第二节One possible version:As the competition approached,webelieved wewere superior to theLynwood team.However,the outcome of the competition was a humbling experience. We lost, and Lynwood emerged asthe deservingwinners,celebrating their victory with a delicious pizza and delicious star cupcakes.To our surprise, the Lynwood team displayed excellent friendliness. They congratulated us on agood game and empathized with the challenging questions we faced. They even offered to sharetheir winnings with us,recognizing the nervousness we were all feeling.They praised us a lot,whichmadeusfeelevenmoreembarrassed.At thatmoment, it became clear that our assumptions and mean remarks were unfounded.Weregretted our unkind words and hugged theplayersof the Lynwood team.The Lynwood teamwere friendly and kind,unlike the rumors we had heard.We realized that both teams had morein common than we thought. We were all competitive, nervous and hungry for success. Theexperience taught me a valuable lesson. Being competitive doesn't mean we have to beexperienceforeveryoneinvolved.

学科网组卷网48.What can users do in the VR experience?A.Ride real horses.B.Wear ancient-style clothesC.Take photos of ancient people.D. Talk to actors from 1,300 years ago.49.What is the main idea of the passage?A.How to create an experiencing theater.B.ThehistoryofVRtechnologydevelopment.C.A project connectingVR to traditional Chinese cultureD.The importance of ancient Luoyang in Chinese history.EOnMarch8,2025,Huawei tookanimportant stepbyformingahealthcare teamtobreakintotheAI-medicalarea. This is exciting news across the world.Foragesoplehavebeentroubledbyproblemrxamlemdical thingsarentdividedfairlyanditslowtofind out their healthproblems.ThankstoHuaweisgreatskillsin communication,cloud computing,andAI,it can offerstrongcomputing supportfor dealingwithmedicalproblems.The newly-formed healthcare team is up and running.Their goal is to useAI to improve the speed andaccuracy（准确性）ofmedicaldiagnosis（诊断）.Forexample,theyplantodevelopsmarttoolswhichcanrapidlyexaminepatientsmedicalrecordsandtestresults,soastohelpdoctorsrecognizepatientsproblemsmoreeasilyThe teamalsoplanstomakeuseof5Gtechnology.Inthisway,doctorsinbigcitiescanshare their talentswiththoseinsmall townsorvillages,whichhelpstoaddresstheproblemofunevenmedicalresources（资源)The global AI-medical market is growing rapidly.An increasing number of people are applying AI inhealthcare.Huawei’sentry into thisfield iscertain tobring about great changes.Weall hopethatwithHuawei’shardwork,healthcare around theworldwillbeimproved.Peoplewillreceivebettermedicalservices,andtheproblemsinthemedicalfieldwill besolvedstepbystep.Let'sexpecttheamazingachievementsof Huawei'shealthcareteamin theAI-medical field.50.Howwill Huawei'shealthcareteamuseAI tohelpdoctors?A.Bymakingdiagnosisfaster andmorecorrect.B.Byinventingmoremedical toolsfordoctorsC.By teaching doctors new medical skills.D.Byprovidingfreemedical services.51.Why is 5G technology important for this project?A.It creates more medical resources.B.It helps doctors cooperate better.C.It increases doctors’talents.D.It replaces human doctors第11页/共19页

2024学年第二学期宁波三锋教研联盟期中联考高一年级英语学科参考答案第一部分听力（共两节，满分30分；每题1.5分）1-5AABAC6-10BCBCB11-15CAABA16-20CACBB第二部分阅读理解（共两节，满分50分）第一节（共15小题；每小题2.5分，满分37.5分）21-23CCA24-27DADB28-31DABC32-35CABD第二节（共5小题；每小题2.5分，满分12.5分）36-40FDGEB第三部分语言运用（共两节，满分30分）第一节（共15小题：每小题1分，满分15分)41-45ACBDA46-50BCADA51-55BCDDB第二节（共10小题；每小题1.5分，满分15分）56.fascinating57.discovered58.in59.gradually60.worn61.a62.which63.but64.civilization65.enjoying第四部分写作（共两节，满分40分）第一节（满分15分）Dear teachers and classmates,I'mLi Hua.It'smygreathonor tostandheretodelivermyspeechthemedon“protectingtheearth”facingseverechallengeslikepollution,climatechangeanddeforestation,whichthreatentheecosystemandhumanlives.To address theseissues,wemust take action.Reducewastebyrecycling,conserveenergybyusingpublictransport,andprotectnaturebyplantingtrees.Small stepscanhaveabigimpactLet'srememberthatprotectingtheearthisnotjustachoicebut aresponsibility.Together,wecanbuildasustainablefuture.Let'sstarttoday,foragreener tomorrow.Thankyouforyourlistening第二节（满分25分）参考范文TheplayersonbothteamsturnedtolookatthetruckandsodidCali.Somegirlscheeredwithgreatjoy,evencallingout theirparentstobuy them one.AsforCalishe seemed toforgetaboutherfrustrationand just enjoyed the sound.But then sheheardher aunt'svoice again,clearandencouraging:“Califocus！You'vegotthis!Thewordssnappedherbacktothegame.Sheglancedatthefieldandsawtheballrollingtowardher.Wasthatherchance?Shelookedatheraunt,whonoddedatherfirmly.“Now!"herauntyelledexcitedly.Hearingheraunt'syell,Calidashedovertotheball.Shequicklycontrolleditwithherfeet,weaving2024学年第二学期宁波三锋教研联盟期中联考高一英语参考答案

第三部分语言运用（共两节，满分30分）第一节（共15小题；每小题1分，满分15分）答案解析网阅读下面短文，从每题所给的A、B、C、D四个选项中选出可以填入空白处的最佳选项。Few things make children as happy as seeing their families supporting them at schoolrecitals(演奏会）.This means not only 41on their big day,but also assisting them withpreparations. For one uncle, this meant 42 his niece's call to be her backup dancer. Notonly did he 43 ,but he actually enhanced the girl's performance with his 44dance.A video was sharedonline by the 45 himself, Dmonte Young,who is a dancer knownas Dmonte.“My niece called me out to46her talent show with her. We made it,”hewrote online,before joking about being47by a third grader. The uncle even48oneof his commenters who wrote，“Love will make you do some crazy things.答案解析网In the video, Dmonte appears behind his niece, who is singing Dance Monkey by anAustralian singer.Meanwhile, the49uncle is giving a professional-level performancebehind her. All of the kids in the audience are50attracted by the entire performance andcan be seen cheerfully clapping and singing along.答案解析网Viewers of the video say that Dmontethe“Uncle of the Year”award whilereferring tohis silky smooth52.Additionally,they praise the niece's53of bringingher uncle along for her presentation. This performance has been a sweeping success, and theuncle and niece have surely made afor a lifetime one that'll remind the girl that her54uncle will always be55for her.答案解析网41. A. showing offB. turning upC. getting upD. setting off42. A. responding toB. putting downC. breaking upD. bringing about43. A. agreeB. protestC.reflectD.hesitate44.A.firstB. virtualC. oddD. amazing45. A. childB. singerC. studentD.uncle46. A. recordB. watchC. doD.advertise47. A. judgedB. permittedC. impactedD. hired48.A.fundedB. rescuedC. likedD. defended49. A.independentB. supportiveC. creativeD. generous50. A. mistakenlyB. temporarilyC. absolutelyD. regularly51.A.rejectsB. announcesC. analysesD. deserves52. A. movesB. skinC.hairD.voices53. A. wisdomB.freedomC.intentionD. evidence54. A. definitionB. decisionC. memoryD. strategy55.A.invisibleB. presentC. appreciativeD. curious选择题答题栏题号1289101113161719答案题号21252627282930331323334353637383940答案题号4142434445464748495051525455答案第二节（共10小题；每小题1.5分，满分15分）答案解析网阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。答案解析网More than a century ago,large numbers of Hainan people spread across Southeast Asia,56（take）with them theirnativedishHainanesechickenrice.答案解析网As time went by,Hainanese chicken rice gradually became a popular dish in Southeast Asian57 (country), including Singapore, Thailand and Malaysia. Located in Kota Kinabalu,Malaysia, the Andrew Wong Hainanese Chicken Rice restaurant 58 (be) quite popular【2026届高三单元卷·英语（四）第6页（共8页）】

二、阅读理解（20小题，每小题2分，共40分。）阅读下面四篇语言材料，然后按文后要求做题。ADesigners andorganizations from all over theworldareworkinghardto makefashionbetterfortheenvironmentHerearethreecoolexamples.3D-printedGreen SchoolTrashtoclothing storeBackpackFashion(Spain,2023)（London,2022）Competition(Beijing,2024)Astore built using 3DTheworld'sfirstbackpackATVcontcst for teenstoprinters andrecycledplasticthatcanbreakdownmake fancyclothesfrom(3.3 tons for walls, shelves,naturally.trash.and tables).Made from:PlantsandWinner:A dress madePlastic source:Mostly fromfood1waste（lookslikewith2,000oldmusselhospitals.leather（皮革）butturnsintoshells青口贝壳）（collectedBrandsworking together:soil).from a restaurant).Ecoalf:Makes clothes fromEco-friendlyfacts:Goal: Turn waste (shells,recycled bottles,old tires,Every part(except zippers)plastic,old clothes) intoand fishing nets.breaksdowninoneyearinbeautiful clothes.Nagami:Builds eco-friendlyacompostbin(堆肥桶).furniture and buildings.Stops plastic waste fromold schoolbags.根据材料内容选择最佳答案。21.What is the3D-printed clothingstore madefrom?A.Used tables.B.Recycled plastic.C.Old tires.D.Fishing nets.22.What'sspecial about thegreen schoolbackpack?A.It's 3D-printed.B.It can break down.C.It's made ofleather.D.It has no zippers.23.Whomighttakepartinthefashioncompetition?A.Aseafoodrestaurantowner.B.Afamous clothingstoredesigner.C.Ateen who isinto special backpacks.D.A15-year-oldstudentwholikesfashion.24.Whatdo the threeexampleshaveincommon?A.They use similar materials.B.The ideas are all from Europe.C.They were held in the sameyear.第3页共11页