2.Cf（x)=cos x+，令f（x)=0,x∈[0，π]，解得x=2πb+3=2，大值2，所以f（1）=2，f（1）=0，即a+2b=0，2ln3一6.故选C.答案解析网4.Cy=f（x）=xsinx为偶函数，从而原函数为奇函数加一个常数（本题中，该常数为0），x∈[0，π]，f（x）=csinx≥0，从而y=f（x)在x∈[0，π]上单调递增，综合判断函数y=f（x）的图象大致为C项5.B由题意知f（x）=x2a-1≥0，（0，4）上单调递减，在（4，十）上单调递增，所以13解得，即a的取值范围是2a+1≤4，22[13]6.D由题意知，当xE（-0o，-4）时，f（x）

数学名师讲题视频351011 121314答案BCBC-14(1)45(2）√51.A【解析】四个选项中只有一2比一1小，A项过点E作EF ⊥BC于点F，则EF=4,BF正确AP_AE 1 2.D【解析】通过计算，A，B项无同类项不能合并，C2’项的正确结果为a，D项正确.:FQ=2AP=2x,:.CQ=2-2x,..y=1X(2+3.A【解析】根据图2可得出立体图形的三视图与A2-2x）×4=-4x+8；当1

七年上·数学七年上第一次检测数学得分评卷人二、填空题（每小题3分，共15分）2题号二三总分025得分7.比较大小：一47（填“>”“

4,所以IP,P2|=x+x2+4=8m²+8≥8,当m=0时,IP,P21取得最小值8,故A错误；44- =1 -cos α +1 +cos α = 1,故B正确；IP,FI442对于C,当n=4时，LP,FP2=LP2FP=LP,FP4=LP4FP,=,此时不妨设 P,P2,P3,P4在抛物线上按逆4时针方向排列,设PFx=α,α∈（0,),则IP,Fl== 1 - cos α',IP2FI =-,IPF|=1 + sin α,IP4FI =1 + cos c1 - sin α4sin²α+ cosα- 14，所以,故C正确；1 + sin α1 - sin α cos²αIP,F11P,FI +IP,F1IP4FI = 161616′IP,PIIPP41=-(IP,FI+IPFI)(IP2FI+IP4F1) =2 sin²αcos²α sin²2α四边形 P,P2P3P4 的面积取得最小值 128,故 D 正确.三、填空题：本题共3 小题,每小题5 分,共15 分.12.答案√2命题透析本题考查复合函数的导数的计算.sin²x13.答案50命题透析本题考查排列组合的应用.不同的分配方法有C2A2=12种.综上,不同的分配方法种数为14+24+12=50.14.答案5命题透析本题考查递推数列，数列与函数的结合.Sn+1-Sn_n²解析因为2"αn+1=n²Sn,an≠0,所以 Sn≠0,2"（Sn+1-Sn）=n²Sn,所以，则一+1，令Sn2f（x）：22—3—

15.D他们付不起他们的狗Tiffy的交通（transportation）费，又非常想（desperately）带她一起走。16.A见上题解析。17.C碰巧（happened）“我”和另一位飞行员Karen正在计划另一次PNP飞行，他主动提出（offered）要把Tiffy从堪萨斯城带到弗吉尼亚。18.B见上题解析。19.D“我”要做的是飞到托皮卡去接（pickup）Tiffy。20.B当“我”见到Tiffy的主人时，他们看起来很紧张（nervous）。21.A丈夫George试着冷静下来，但“我”看得出来，这对他来说很难（hard），因为他不得不把狗托付给一个陌生人（stranger），并相信一切都会解决（workout）的。22.C见上题解析。23.B见第21题解析。24.D道别之后，“我”让George和他的妻子帮“我”把Tiffy装上（load）飞机。26.D这次飞行安无事（uneventful)，Tiffy是个很棒的乘客。27.C第二天，她和Karen一起起飞（flew），几天后就回到了弗吉尼亚州的George那里。28.A他非常感激（thankful），给“我”发了一封很漂亮的电子邮件，并附上了照片。【答案与解析】本文是一篇说明文。文章主要介绍了我国的古代科学巨著《天工开物》的创作背景、基本内容及其坎珂的流传之路。29.a考查冠词。situation为可数名词，又因为该处是首次提到，故用不定冠词a。30.Tomaintain考查非谓语动词。分析该句成分可知，此处用所给动词的不定式作目的状语。（首字母未大写不给分）31.when考查定语从句。分析该句结构可知，该空引导的是一个限制性定语从句，从句句意完整，先行词是time，故此处用关系副词when。32.seventeenth/17th考查数词。根据句意可知，这里只能用序数词seventeenth或17th，表示（第）十七世纪，33.isdivided考查动词的时态和语态。因为本段叙述的是一般性的事实，此处用一般现在时。又因为divide与Thebook之间存在动宾关系，故用被动语态。34.Explained考查非谓语动词。分析该句成分可知，所填词与其逻辑主语构成动宾关系，故填Explained。（首字母未大写不给分）35.to考查介词。bedevotedto意为“将（文章或讲话的某一部分）专用于”，为固定短语。36.completely考查词形转换。分析该句成分可知，所填词在此处修饰动词disappeared，作状语，故用所给形容词的副词形式completely。37.were考查动词的时态和主谓一致。根据空后的时间状语intheMingDynasty及从句的主语someoftheprocesses可知，此处用were。38.translation考查词形转换。根据该空前的冠词a可知，所填词为名词作主语，故用所给形容词的名词形式translation.写作One possible version:DearPaul,How'severythinggoing?It hasbeen amonth sinceyou returned toBritain.I missyou somuch and I'meagertosharesomethingwithyou.You knowI had little interest inEnglish and I waspoor at spoken English.Thanks toyour guidance andencouragement,1haveinsistedonpractisingandnowIammorefluentinEnglish.Moreover,IhavefoundthejoyoflearningEnglish,whichenablesmetolearnitmoreactively.Though I feel sorry that you've left,I hope you enjoy your life in your country.Looking forward to your reply.Yours,Li Hua【2026届高三单元阶段综合卷·英语（八）参考答案第2页（共2页）】

19:48注意：1.续写词数应为150个左右；2.请按如下格式在答题卡的相应位置作答。Thetruthcame out thenext morning自存网盘页面管理转Word笔记标注

C.Shor video npps have some bad influenecs and teens need to redluce their screen time.D.Shor video apps can't help improve friendships among teens.47. What is the structure of the passage?A. ①②③④/③B.①②③/④5C.①②/③④③D. ①/②③/④③CLearning a new language is a complex（复杂的） task，but there are lots of benefits of languagelearming.Research shows thatitisnever tooearly ortoolatetostartlearninganewlanguageourbrains are built forlanguagelearning!Language is about communication and connections,and studyinganewlanguage bringspeopleand cultures closer to us.At the beginning, learning a language might feel like all vocabulary andgrammar，butit doesn'ttakelongtobuild up the skillsto makemeaningful connections in the newlanguage.Knowing anotherlanguage can develop ourunderstandingoflanguagesingeneral.Studyingasecond language helpsimprove students’performance in other subjects.It involves learning differentkinds ofskills，like creativity，higher orderof thinking，problem solvingandreasoningIf a man can use two languages,he is bilingual. Being bilingual trains ourbrains toperform a complex task:turningone language“down”whileturning theother“up”，ineveryinteraction（互动），foreveryword！Bilinguals’brains treatlanguageslikea seesaw，liftingoneuphigherwhenitisneeded，andpushinglowertheonenotbeingused.Thispush-and-pullkids playing on the seesawinbilinguals'brainsgetsthempracticinga specific（特定的）kindofattention andcontrol.Languagesprovide newways of interacting with people in our communities and around the world.Whilestudentsmaylearnanewlanguageinschool,technologymakesiteasier thaneverbeforeforolder adults to learn too.Online chatting tools give adults ways to communicate directly with theirlanguage practice partners and native speakers.Exploring new cultures,travel,and making newsocial connectionswithpeoplearound theworld can alsohave agoodinfluence on older adults.People of any age can learnnewlanguages,but it is usuallyharder for adults to have the timeand energy to learn them.For both kids and adults,language learning takes time and patience,and itshouldalsobeenjoyable48.Why is learning another languagehelpful for students'other subjects？A.Because it makes learning vocabulary and grammar easy.B.Because it gets students interested in many subjects.C.Because it shows the performance of students.D.Because it develops sludents'several skills英语（二）第6页（共10页）

续表Start Times:15 km:7:00 a m.10 km:8:00 a m.5 km:9:00 a m.Join Us!The more you walk, the more chances you will have to win prizes like sports suits or free gym cards.Last yer, 500 people joined us and lost weight. You can do it, too! Let's make it even better this year!Organized byXi'an Health Club41.As for clothing, the organizers suggest that the walkers wearA. raincoatsB.warm clothesC. cool suitsD. old shoes42. Why does the text mention “500 people lost weight last year”?A.To compare different events.B.To show the activity isgood forpeople.C. To make more money.D. To show the event was useless last year.43. Where can we probably read this text?A. On a community noticeboard.B. In a travel guide about Xi'an.C. In a science textbook..D. In a science fiction novel.BMost people learn good manners as children, but sometimes when they grow up, theyforget to use them. However, it's important to have good manners all the time, because theyshow kindness and respect for others.When I was a child, I didn't like writing thank-you notes. But as an adult, I've receivedthank-you notes that make me smile on hard days. I've learned that taking the time to writethese notes is a greatway to make someonefeel loved and special.Saying“excuse me” is a respectful way to get someone's attention. And it is far morepleasant than pushing them.shows that you value the person that is speaking to you.Also avoid interrupting someone whois talking with someone else in person or on the phone.Unless it's an emergency（紧急情况），Some people may thinkofmanners as a listof arbitrary（武断的）rules,but theruleshave their purposes. They make it easy to show others you care about them and take themseriously.44. What does the writer think of a man with good manners?A.He must graduate from the university.B. He must come from a rich family.C. He is working hard to help others.D. He is kind and respects others.45.The underlined word “interrupting”means“" in the passage.A. respectingB. rememberingC. stoppingD. forgetting【九年级英语第4页（共8页）】

4/8Do 150300minutes of walking,cycling or dancing every week,and strengthexercises twice a week. If you sit for long, stretch for5 minuts everyhou.Small daily habits matter.Teens should sleep for at least 7 hours a night. Eating理vegetablesfirst,thenmeat and ricehelps control eating.Schools and communities help too. Shanghai schools ensure students exercise at处least two hours daily.Hospitals’“weight clinics”offer diet and exercise advice,and分traditional Chinesemethods.By 2030,China aims to slow obesity growth.0Losing weight doesn't need to be perfect. Start with small changes like drinking作water instead of soda.These simplesteps canlead to a healthierfuture.卷24.What is the main goal of China's Weight Management Year”plan?试A.To make traditional Chinese food popular.B.To encourage people to join sports competitions.者C.To reduce obesity and improve public health.违25.What does the underlined word “Obesity”in Paragraph 1 mean in Chinese？，B.过度瘦C.减肥A.过度肥胖等26. How long should people do activities like cycling every week?号B.7hours.C.150—300minutes.A.3-5minutes考27.Which of the following statements is TRUE?A.Only big lifestyle changes can helpwithweight management.名B.Shanghai schools ask students to exerciseforat least two hours every day.姓C. The “Weight Management Year" plan lasts from 2024 to 2030.写C要A student stuck a note onhis classmate'sbackwhile they were at recess（课间休息）不one day.The note said I'm Stupid”.He asked therest of his classmates not to tell the boy.外The other students started laughing at theboy,butwouldn't saywhy.?线Soon,it was time for their afternoon math class.Their teacher wrote a difficultproblem on the blackboard.Noonewas able to solve it except theboywith the note on订his back.装Ignoring（忽略）the laughter,hewalked toward theblackboard and solved theproblem.The teacher asked the class to clap(鼓掌）for him and took the note off his back.题：She told him,It seems that you didn't know about the note your classmate put onyour答back,but you didn't seem to care anyway.要：Then the teacherlookedat therestof theclass and said,BeforeIpunishyou all,t不me tellyou two things.First,all of youwill be labeled（贴标签）at one point or another内by other people who don't want you to succeed.All you have to do is to ignore these线labels.You have to take every chance you have tolearn,grow and improve订Then the teacher added, “And it seems that none of you are friends with this boy,since none of you werekind enough to tell him about the note.If that's true,then youd装better hope that you have some good friends yourself. Otherwise, you might be the one祁阳市2025年中考仿真考试（一）·九年级英语（试题卷）第4页共8页

be availableviayourNational Gallery account onTuesdaymornings.Can't makeWednesday evenings?Noproblem.Each session is recorded and made available toyou for theduration of the course,upuntil 2weeks afterthefinal session.Avideoof theweek'slecturewill beuploadedandavailableforyoutowatchviayourNational Gallery accountonFridayafternoons.BookinginformationThisis an online ticketed course hosted onZoom.Please book a ticket to access the course.Only one ticketcanbebookedper account.Youwill beemailed anE-ticketwithinstructions on howto accessthecourseviayourNational GalleryaccountPriceStandard:90Concessions:75Concessionsareforstudents,jobseekers,anddisabledadults1.What is thepurpose of the text?A.To advertise an art galleryB.To introduce an online courseC.To demonstratea historicperiod.D.Topromoteapaintingcompetition.2.What canyou do if you miss a session onWednesday evenings?A.Contact thelecturerB.Attend a makeup session.C.Watch therecordedvideoD.Purchase additional access3.Howmuch should an unemployed father and his 1st-grade son pay?A.75.B.90.C.150.D.165.BMyhusbandStephenandIhadplannedatriptoLithuaniaandPoland,buthisworseningheartconditionprevented himfromjoining.Heinsisted Igo alone,markingmyfirstsolojourneyin over20years.Despitemyfears,I setoff,feelinglikeIwason aflyingNoah’sArk surrounded by couplesInVilnius,Ifoundcomfortinawebsite,whichofferedpay-what-you-choosewalkingtours.These toursbecame thehighlightofmy trip.Itookfivetours,eachmorningsettingout toexplore thecity’sold town,aUNESCWorldHeritageSitand sentStphenphotos achnightOur guideevasharedherdepkowledfhistory and culture.Iconnectedwith travelersfromvarious backgrounds,including aPolish professorwhoinvitedmeto an art exhibit.I also traced mygrandmother's footstepsinJewishVilnius,visitingplaces she might haveknown.These toursfullof surprises,wereperfectforasolotraveler,offeringconnectionandflexibility.Onmy第4页/共13页4/13