[4+2m=0,可得解得m=-2，n=5。....13分[m+n-3=0,法二：z=2z-1=1+2i是方程x²+mx+n=0(m,n∈R)的根，所以另一根为z2==1-2i由韦达定理可得：mm=...13分1.1_ √316．在△ABC中，角A，B，C的对边分别为a，b，c，角A的角分线交 BC于点D且bcAD（1）求角A；（2）若a=2，求△ABC面积的最大值.2cosA1.1整理得：2故2cosA..8分3.9ADAD23√3(2)S△ABC由余弦定理可得：a²=b²+c²-2bccosA=>4=b²+c²-bc≥bc，即S△ABc≤√3.bc，4....15分17.已知函数f(x)=2+2.（1）解方程f(x)=103(2）若f(3x)-mf(x)≥0恒成立，求m的取值范围.+1=0=1=3或33..7分(2) f(3x)=23x3.f（3x)-mf（x)≥0
即有y∈Z,f(x-y)=f(x)-y.此时对x1-x2E（2,2025],设x-y-x2=x,其中xE[1,2],y∈N,yE[1,2023];则 f(1)-f(x2)=f(x1-y)+y-f(x2);x1—y-x2∈(1,2]>f(x-y)-f(x2)∈[1,2]→f(x)-f(x)∈[1,2025],对x1一x2∈[1,2]同样有f(x1)一f(x2)E[1,2025],即f（x)是[1,2025]关联的；·…..…·15分另一方面,若f(x)是[1,2025]关联的，+)-(+)++[+)(+)+[()(+)+()=(+)2024)]≥f(x)+2025;且 f(x+2025)≤f(x)+2025;结合取等条件有f(x十1)=f(x)+1；即有yEZ,f(x一y)=f(x)一y.所以对于x1-x2E[1,2],f(x1+2023)一f(x2)≤2025,即 f(x1)-f(x2)≤2;且显然有 f(x1)一f(x2)≥1,即 f(x)是[1,2]关联的.综上，原命题证毕．·..··.17分高一数学(附中版)参考答案一6
如图，在直三棱柱ABC-ABC,中，AC⊥面ABC，AA=2，BC=1.线，切点分别为A，B，点Q在直线AB上，且OQ⊥PQ（O为坐标原点）数学试题第4页（共4页）的长度可变.当△BCD为等边三角形时，AD=√3（3）求直线BC与面ABC所成角的正弦值（2）证明点Q在定圆上，并求该圆的方程；已知函数f（x）=sinx-asin x（aeR）（1）当a=3时，求f（x）的单调区间（2）求三棱锥C-AAB,的体积；（ii）证明：xf（x）≤2a²x²（i）求a的取值范围；（1）证明:BCAC;(2）若-2≤f（x)≤a.（2）求AD的最大值（1）求C的方程；（1）求a的值；9.（17分）16.（15分）.（15分）8.（17分）
CSouthKorean scientistshave developed a new type of food called“meaty rice”.It is a mixture ofledbyProfessorParkSo-hyeon,useda techniquecalledcell-culturedprotein,whichinvolvesgrowing animal cells in the labwithout harming any animals.They then infused(注入) these cellsintoricegrains,usingaspecialprocess that preservesthegrain’sstructure andpropertis.Meatyriceisapink-huedgrain thatispackedwithbeefmuscle andfat cells,offeringameatytasteandtexture.Accordingtothestudy,eachgramofmeatyricecontainsabout0.4gramsofprotein,compared to0.08gramsinregularrice.It alsohas ahigheriron,zincandvitaminB12content,whichareessentialforhumanhealth.Itoffersauniqueflavor,enhancesnutritionandreducesenvironmentalimpact.Conventionalmeatproductionconsumeslargeamountsofland,waterandenergyandreleasesgreenhousegasesthatcontributetoclimatechange.Meatyrice,ontheotherhand,requiresfewerresourcesandproducesfeweremissionsthananimalfarming.Accordingtothestudy,meatyricebeefproduction.However,meaty rice is still in its early stages of development andmanyissuesmustbe tackledbeforeit canbewidely accepted.Forinstance,howwill it affect thehealth and safety of consumers？Howwillitaffectthelivelihoods（生计）offarmersand theeconomyoffoodproduction?Theresearchers are optimistic thatmeatyricewill be a game-changer for the future of food and they areplanningtoconductmoreteststoimproveitsquality.Theybelievethatmeatyricecouldbethenextfrontieroffoodinnovationandalsohelprelievehungerandmalnutritionbyprovidingcheaperandmoreaccessiblesourcesofproteinandmicronutrients.28.How did researchers develop the meaty rice?A.By adding artificial flavors to rice grains.B. By growing rice in a special environment.C.Byintegrating animal cellsintoricegrains.D.Byinfusingplant-basedproteinsintomeat.29.What advantage does meaty rice have over regular rice?A.It has a higher yield.B.It is more nutritious.C.Ithas a fresher taste.D.It is more affordable.30.What is the purpose of paragraph 3?A.Tostress the strengths of meatyriceproductionB.ToexplainthechallengesofdevelopingmeatyriceC.To reveal the significance of promoting green farming.D.Toshowtheincreasingdemandformeatconsumption31.Whatcanweinferaboutmeatyriceaccordingtoresearchers?A.Itcanbeakeyoptionto addressthefoodcrisisB.Itcangreatlyexpand thelivelihoodsoffarmersC. It will completely resolve global issues of starvation.D.Itwill replacetraditionalmeatproductsinthefuture.高二英语试卷第5页（共10页）
75.What did Jason think of reading to a younger buddy?Whatcanyougetfromreading？（答案须与文中信息不同)第四部分情景交际（满分10分）X.补全对话（共5小题；每小题2分，共10分）根据下面的对话情景，在空白处填入一个适当的句子，使对话意思连贯、完整。( Two students, Ben and Alice, are talking about Ben's best friend. )Alice: Hi,Ben! I hear that your best friend Jenny is good at skating.76.Ben: Yes, Alice. It's true. She wants to be a professional skater.Alice: Great! How often does she practice skating?Ben: 77.She practices every.Monday,Friday andSunday.Alice: Oh, I thought she practiced every day.Ben:Well, she isn't allowed to spend too much time training. Her parents think it is difficult to beAlice: I see. 78.Ben: She began to skate in 2017. At that time, she was only 8 years old.Now she is 16.Alice: No wonder she can skate so well.Ben: Oh, Jenny will have a skating show in the sports center this Sunday afternqon.79.Alice: Sure, I'd love to. 80.Ben: Let's meet at the sports center then.Ben: OK. See you.Alice: See you.第五部分写作（满分15分）书面表达（满分15分）81.“邯郸，一座等了你三千年的城”已成邯郸的金字招牌。今年暑假有一个外国旅行团要来邯郸旅游，现需招募一批志愿者，用英语向外国游客介绍邯郸。假如你是李华，请以“LearnEnglish，TellHandan's stories”为题，结合以下提示，写一篇申请书。提示：1. What famous places are there in Handan?2. What can people do there and what special food can people enjoy?3. How can you learn English well to tell Handan's stories to foreign tourists?注意：（1）短文中不得出现真实的地名、校名、人名。（2）词数80个左右。参考词汇：Handan Road,Xuebu Bridge,Wu'anNoodles（武安拽面），Yongnian Crispy Fish（永年酥鱼）Learn English, Tell Handan's storiesI'm Li Hua. I want to be a volunteer during the summer holiday.英语试卷第8页（共8页）
9.Which skill is Rose taking up?A.Photography.10. What are the speakers mainly talking about?A.British school subjects.歌英B.British school structure.事意主C.British technical colleges.听第8段材料，回答第11至13题A. Thailand.12.How much will the man pay for the Visit?C. $6,000.B.$4,800A.$2,000.C.By sea.B.By air.A.By train.（食0，节两共）大和赔一第听第9段材料，回答第14至16题。C.She threwitout客隆B.She cleaned it.#一第A.She kept it.15.What affected the speakersproject grade？代仓盟小领：小共）AB.The poor quality一C.The sound effectTA.Thebarking.16.Wheredidthe speakersrecordthetape的o司西宗量C.In the neighbor’sroom.B.In the basement.A.In the classroom.ida o zi doum woH 听第10段材料，回答第17至20题。.81.0.881.0I5A17.What did the speaker probably do before？B.A nurse.C.A tailor.案容A.A designer.18.How long does the speaker usually work a day?vioo yldedoiq nsniow gdi liw rorV .B.About 14hoursAC.About 16hours.AA.About 12hours.A.Finding suitable materials.mumoT8lroqisdoTAB.Studying traditional clothing.prool EtsmnsduedodwC.Dealing with the cuts on fingers.sM8H20.Why does the speaker feel proud?won gvad oi grirooqxg nemow sdi ei tadwlA.She can promote Chinese culture.bnsrlboomAAB.She has become a famous designer.eqeordingswlodqinanounistsldedorgodrailndwC.She can display classical artworks.mo bnsybsIbas.enodngshA第二部分阅读（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）川The Bullock Texas HistoryMuseurTexas History comes to life at the Bullock Museum as it highlights key events, figures,and engaging hands-on exhibits.womoTQuick Info:oioiq nnmoreaobebvonlohnianiwAddressB2aGucGPHou800 Congress Ave. Austin,TX 78701Hourswon #niobere a i ndwMon.-Sun.10a.m.5p.m.oimmlolmiwiv#tni nugnoA英语试题第2页（共8页）
2026届全国名校高三单元检测示范卷·英语（十五）选择性必修第二册综合测试号（本卷满分：150分）答案解析网位座第一部分听力（共两节，满分30分）答案解析网第一节（共5小题；每小题1.5分，满分7.5分）答案解析网听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。1. Where does the conversation probably take place？答案解析网号A. At a shop.B.At a parking lot.C. At a hotel.场考2.What does the woman want to do？答案解析网题A.Have a look at a spare flat.答案解析网B.Enjoy dinner with the man.答案解析网答C.Recommend a flat to the man.答案解析网3.When might Mr.Johnson be at his office this week？答案解析网A. On Wednesday.B. On Thursday.C. On Friday.要4. What are the speakers mainly talking about？答案解析网A. A class reunion.B. A big notice.C. A new restaurant.不5.What is the man's attitude toward the celebration？答案解析网号A. Satisfied.B. Uninterested.C. Unclear.证第二节（共15小题；每小题1.5分，满分22.5分）答案解析网考内听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项准中选出最佳选项。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各线小题将给出5秒钟的作答时间。每段对话或独白读两遍。答案解析网听第6段材料，回答第6、7题。答案解析网6.Why does thewoman ask to go to the chemistry lab？答案解析网封A. To check the equipment.答案解析网B.To follow the man closely.答案解析网名姓密C. To do an experiment again.答案解析网7.What does the man remind the woman to do at last?答案解析网A. Go home early.B.Turn off the light.C. Look after herself.听第7段材料，回答第8、9题。答案解析网8. Why does the man want to have his phone disconnected? 答案解析网A. He will quit his present job.答案解析网级B. He will move to another place.答案解析网C.He will go to a foreign university.答案解析网9.What information does the woman need about the man?答案解析网A.His departure time.B.His ID number.C.His birth date.听第8段材料，回答第10至12题。答案解析网10.How will the woman go to Singapore？答案解析网A. By bus.B.By ship.C. By plane.11.What will the woman do in SiemReap？答案解析网校A. See famous temples.C. Go shopping.B.Visit her friends.学12. Where will the woman stay during her trip？答案解析网A. In big hotels.B. In small guesthouses.C. In her own car.【2026届高三单元卷·英语（十五）第1页（共8页）】
1、河北省2024-2025学年第一学期九年级学业水检测一数学试题1、河北省2024-2025学年第一学期九年级学业水检测一政治试题1、河北省2024-2025学年第一学期九年级学业水检测一数学（翼教版）试题
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