-

四、解答题：本题共5小题，共77分解答应写出文字说明、证明过程或演算步骤15.(本小题满分13分)在△ABC中，角A,B,C的对边分别为a,b,c,若2 asin A=(2sinB+sinC)b+(2sin C+sin B)c.(1)求A的大小；(2)若m=(1,sinB),n=(sinC,1),求mn的最大值.16.（本小题满分15分)·4+3设61」已知数列{o}的首项a=,且满足a,H=4-1.5an(1)求证：数列{b}为等比数列：(2》若二+++…+上>2024，求满足条件的最小正整数m.a az as an17.（本小题满分15分)记△4BC的内角4B,C的对边分别为a,bc,己知A=5,D是边C上的一点，且6sin∠BAD,sin∠CAD3b2a11证明：AD=二a:3(2)若CD=2BD,求coS∠ADC第3页/CX

施展他们的奸计。所以三代的制度，是让百姓富裕而让他们自己谋划生计。即使是拥有万户人口的国家，也不能总计算几十年的丰收与歉收而早早地为此制定制度。在郡县制的天下，财赋广泛，而各地的民情又各不相同，怎么能用统一的治理方法来治理呢？。3

7.Which of the following is TRUE?A.It will be Tom's mother's birthday next weck.B.Amy uscs paper and scissors to make the birthday prcscnt.C.Tom doesn't think it is fun to do a DIY job听下面一段对话，回答第8至10小题。8.Where did Ben meet Jill yesterday?A.In Paris.B.In Beijing.C.In London.9.What's Jill like?A.Funny.B.Honest.C.Quiet.10.What did Ben and Jill do yesterday?A.They went swimming.B.They went shopping.C.They went horse riding.Ⅲ.短文理解（共5小题：每小题1分，满分5分）你将听到一篇短文，短文后有五个小题。请根据短文内容，在每小题所给的A、B、C三个选项中选出一个最佳选项。短文读两遍。11.How did the speaker feel at first?A.Glad.B.Upset.C.Nervous.12.How long was the talk?.A.Half an hour.B.An hour.C.Two hours.13.What is the speaker's father?A.A headmaster.B.An engineer.C.A teacher.14.What is the speaker interested in?A.Science.B.Math.C.Writing.15.What did the speaker think of the talk?A.Meaningless.B.Important.C.Difficult.V.信息转换（共5小题；每小题1分，满分5分）你将听到一篇短文。请根据短文内容，写出下面表格中所缺的单词，每空仅填一词。短文读2遍。My English teacherLooksShe has a 16 race,big eyes and blonde hair.HobbiesShe likes reading books,but she doesn't like 17She is warm-hearted.People can make friends with her 18.PersonalitiesShe always 19 and everyone likes her.She is 20 to help people in need.八年级英语试卷第2页（共10页)CS扫描全能王3亿人都在用的扫描ApP

18.解(1)由题意得x-V22+少2V2x-2W22.2分方得x-V2)2+y21(x-2V2)22整理得父+上=1即为曲线E的方程42….4分(2)当1x轴时，4为x轴，易求得PAPB+PCPD=-92……5分当直线1,12的斜率都存在且不为0，因为直线，12相互垂直，-D,设A,),B(,,C(xy,),D(x4,y)1设l:y=k(x-1),则12：y=-联立4+2=1得(2k2+1x2-4k2x+2K2-4=0.6分y=k(x-1)4k2所以为+X2=2k2+12k2-4.7分XX2=2k2+1-3k2所以=k2(x-I(x-)=k2[x-(G+)+=22+.8分40-324x3+x4=2-+1P+2同理：2Xy-42-43七4=、k21y+1k+29分-3(-12k-3y3y4=k2+210分则PA·PB+PC.PD=(x-1)(x,-)+yy2+(-1x4-1)+yy4=xx2-(x+x2)+1+1y2+x3x4-(x3+x4)+1+y3y4.11分2k2-44k2，+1+32+2-4k24-3-+1+2k2+12k2+12k2+1k2+2k2+2T1k2+212分-3-3k2,-3-3k2_-9k2+1)2=2K+1+2+2(2k2+1k+2).13分第6页共8页

数为28,383毫米，极差为50一25=25毫米，80%分位数为42毫米：B地月均降量为2十25十0十740-5-1g米，月降雨量的中位数为303”-385毫米极差为6245-22=23毫米，80%分位数为40毫米.故A,C,D正确，B错误11.BCD因为BC-(21,2)AG=(4,-2,-),所以4BC.AC4×(8-2-)=15,15不是质数，A结误.因为B=(0,10).BC(2,0,0),所以BA·BC=0,所以BA⊥BC,△ABC为直角三角形，BA正确因为msBC,1=高-名所以B,C与AB所成角的正√29√/2925√/29弦值为29,C正确.根据已知6个点的空间直角坐标可得几何体ABC-ABC为三棱台，且AA1与该三棱台的底面垂直，AB⊥BC,A1B1⊥B1C1,A1B1=2,BC1=4,AB-1,BC=2,A:=号，所以几何体ABCA,BC,的体积为5×号×（合×2X4+号×1X2+V月×2x4×宁×1X2)=号，D正确12.3这组数据中，3出现的频数最大，所以这组数据的众数为3.13.(或30)因为cos(m,m)=1-3|=32×1-，所以。与B的夹角为需14.157将5×5方格表中的第1列、第2列、第3列、第4列、第5列的各数分别减去10,20，30,40,50,得到的表格如下：010101000-10-1-101101-101323由表格可知第2行、第3行应选的数字为1，则第4行应选的数字为第3列的1，第1行应选的数字为1，第5行应选的数字为3，从而可得被选方格的5个数之和的最大值为10+20+30+40+50+1+1+1+1+3=157,15.解：(1)AB=(2,-2,3),CD=(3,0,m-2),2分因为AB⊥CD,所以A店.CD=0,…4分即6十3(m-2)=0,解得m=0.…6分(2)AC=(-2,1,0),AD=(1,1,m-2),…8分【高二数学·参考答案第2页（共5页）】·25-182B·

35. What do the researchers plan to do next?A. Apply for a patent for the invention.B. Develop the product for more practical usesC. Explore the environmental impact of the coatingD. Seek a more environmentally friendly material to replace gold第二节（共5小题；每小题2.5分，满分12.5分）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。How to Create Good Study Habits for ExamsWith good study habits, you'll be able to reduce your stress and take tests and exams with confidenceYou can create good study habits for exams by learning your course materialRead the course materials and texts. You should have a textbook for each course, and your teachercould also assign (指定) other books or articles for you to read._36_Good study habits require that youread all of the assigned texts.37 write down the key points and topics you want to further research later while learning. Then it's agood idea to go through your notes and try to fill in any gaps where you missed items or didn't quiteunderstand. As you study for your exams, look up any information that isn't clear to you so that you can getmore information.Make yourself flash cards. Flash cards are a great way to study your material, especially vocabulary,key points, and lists. 38 you could use an online tool like Quizlet or Kahoot to create flashcards andpractice quizzesMake mind maps. Mind maps are graphical illustrations (插图) of your topic and a great memory tooto use, especially during exams. For example, you can create a web connecting the ideas you're studying, orcreate a doodle based on your notes. 39Ask someone to quiz you. 40 You can create example questions for them to ask you, have themquestion you from the review, or let them question you from your notes. This will show you if you need toreview any topics before the actual examA. So don't skim the texts or read a summaryB. You can put what you want to know on your flash card.C. Take and review notes, filling in gaps with your own researchD. Be creative in how you take notes when you make your mind mapE. Review the information in the weeks and days leading up to the examF. Try using index cards (索引卡) to make your flash cards or cut up a piece of paper.G.When an exam is coming, ask a parent, friend, or your teacher to quiz you over the information第三部分：语言神墙运用（共四节，满分50分）第一节：完形填空（共15题，每题1分，共15分）阅读下面短文，从短文后各题所给的A、B、C和D四个选项中，选出可以填入空白处的最佳选项，并在答题纸上将该项涂黑。Hank, a two-year-old cat, is a homebody. But recently, he got 41 in a 6O-tall tree for five daysand four nights without food or water.Hank's big42_started last weekend. He explored the neighborhood 43 , and a dog cameout, running after him and sending him flying up a treeWhen Hank's owner, Delores Bushong, -44 _ him in the neighbor's tree, she immediately calledthe Humane Rescue Alliance for help.45Hank wastoo high for anyladder（梯子)to reach and thetree branch wasn't46enoughtosupport theclimb oftherescuer.Bushongfeltextremely47but her neighbors showed her that she wasn't alone.The neighbor, whose tree Hank had climbed, let Bushong sit in his backyard and 48 Hankdown. Another neighbor499a can of fish, hoping it might attract the50cat to come downBy day five, they tried a new51and itworked!They52apulley（滑轮）systemby高一英语学科试题第6页（共8页）

35. What do the researchers plan to do next?A. Apply for a patent for the invention.B. Develop the product for more practical usesC. Explore the environmental impact of the coatingD. Seek a more environmentally friendly material to replace gold第二节（共5小题；每小题2.5分，满分12.5分）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。How to Create Good Study Habits for ExamsWith good study habits, you'll be able to reduce your stress and take tests and exams with confidenceYou can create good study habits for exams by learning your course materialRead the course materials and texts. You should have a textbook for each course, and your teachercould also assign (指定) other books or articles for you to read._36_Good study habits require that youread all of the assigned texts.37 write down the key points and topics you want to further research later while learning. Then it's agood idea to go through your notes and try to fill in any gaps where you missed items or didn't quiteunderstand. As you study for your exams, look up any information that isn't clear to you so that you can getmore information.Make yourself flash cards. Flash cards are a great way to study your material, especially vocabulary,key points, and lists. 38 you could use an online tool like Quizlet or Kahoot to create flashcards andpractice quizzesMake mind maps. Mind maps are graphical illustrations (插图) of your topic and a great memory tooto use, especially during exams. For example, you can create a web connecting the ideas you're studying, orcreate a doodle based on your notes. 39Ask someone to quiz you. 40 You can create example questions for them to ask you, have themquestion you from the review, or let them question you from your notes. This will show you if you need toreview any topics before the actual examA. So don't skim the texts or read a summaryB. You can put what you want to know on your flash card.C. Take and review notes, filling in gaps with your own researchD. Be creative in how you take notes when you make your mind mapE. Review the information in the weeks and days leading up to the examF. Try using index cards (索引卡) to make your flash cards or cut up a piece of paper.G.When an exam is coming, ask a parent, friend, or your teacher to quiz you over the information第三部分：语言神墙运用（共四节，满分50分）第一节：完形填空（共15题，每题1分，共15分）阅读下面短文，从短文后各题所给的A、B、C和D四个选项中，选出可以填入空白处的最佳选项，并在答题纸上将该项涂黑。Hank, a two-year-old cat, is a homebody. But recently, he got 41 in a 6O-tall tree for five daysand four nights without food or water.Hank's big42_started last weekend. He explored the neighborhood 43 , and a dog cameout, running after him and sending him flying up a treeWhen Hank's owner, Delores Bushong, -44 _ him in the neighbor's tree, she immediately calledthe Humane Rescue Alliance for help.45Hank wastoo high for anyladder（梯子)to reach and thetree branch wasn't46enoughtosupport theclimb oftherescuer.Bushongfeltextremely47but her neighbors showed her that she wasn't alone.The neighbor, whose tree Hank had climbed, let Bushong sit in his backyard and 48 Hankdown. Another neighbor499a can of fish, hoping it might attract the50cat to come downBy day five, they tried a new51and itworked!They52apulley（滑轮）systemby高一英语学科试题第6页（共8页）

Ⅱ根据汉语提示完成句子，每空一词。◇基础训练1.根据句意及汉语提示完成句子。1.All the people attending the meeting were told toLi Zhi is a sculpture(雕塑artist from Taiyuan,,turn off_(关掉)their mobile phones.Shanxi Province.2.If we see someone in trouble,we should1.Li Zhi has found a different way to recycletake action(采取行动)and give him or her a收利用)waste and turn it into sculptures.helping hand.2.His favorite material is metal(金属)，like bike or3.Anna will take part in(参加)volunteercar parts.activities as long as she is free3.Using these things,he can make amazing workswith creativity(创造力)，4.Visitors have to pay for(付费)the tickets4.Unlike bottles (and boxes,the material isbefore they enter the forest park.not so easy to get.5.Smoking is harmful to(对...有害)your5.Every time he gets inspiration(灵感)，he goes tohealth,so you must give up smoking.the junkyard(废品场)to look for parts he needs.Ⅲ，请阅读下面语篇，根据其内容，用方框中所给词的正确形式填空，使其通顺、连贯。Ⅱ.从方框中选择恰当的短语并用其适当形式完成practice,we,give,that,recycle句子。What do people usually do on Earth Day?ThisIn 2022,Li Zhi created the series of 12 zodiacyear,a class about zero waste (1)was given inanimal(十二生肖系列)sculptures..my school on the day.Zero waste is a lifestyle话方式)(2)that encourages people to reduce asmuch waste as possible.In class,students first set up book corners(3)to recycle old books.win a prize,turn...upside down,practice,we,give,that,recyclebuild...out of,be known for,pull down1.Li Zhi is known for creating the series of 12After that,a teacher gave (4)us a short speechzodiac animal sculptureson cutting down the use of paper at school.2.He used to pull down lots of parts from oldBy taking the class,students learned morebikes and cars for his creation.about waste reduction and recycling.Since then,3.In order to find the right part,he even turned amany students(5)have practiced zero waste inbike upside down and studied it for a long time.their daily lives.The class is really helpful in4.It took him three months to build the sculpturesmaking students realize the importance of zeroout of metal.5.Last year,Li Zhi won a prize for this series ofwaste.sculptures in an art competition.,根据汉语提示完成句子，每空一词。Section BLi Zhi will continue to build his own art world.1.Li Zhi has set up(建立)a workshop,.where all·要点归纳his sculptures are on show.2.Each sculpture shows his ability to bring wasterecycle v.回收利用；再利用back to life(给..以活力).recycling n.回收利用3.Through his art,Li Zhi encourages people torecyclable adj..可回收利用的think twice before throwing away(扔掉)things.4.After all,many things can be recycled andput sth.to good usej意为"好好利用某物"，相当于put to good use(好好利用).make good use of sth..5.As an artist,Li Zhi not only shows us thebeauty of his works but also(不但...而......sends us the message of saving energy.IV.阅读Section B的2b部分，完成下面的思维导图，每空词数不限。同步练She built a house out of (1)rubbish根据提示填空。Amy HayesShe used old windows and doors.an old boat.rocks andold (2)glass bottles"Most obiects in our lives can be (1)recycled(recycle),"said Lily,a member of theShe makes bags with old clothesShe sells them in her shop and on a (3)website(2)recycling (recycle)club.The club asks itsJessicamembers (3)to recycle (recycle)waste and.She plans toou new ways to useold clothesteaches them to(4)put it to good use/make good use of it(He uses iron and other materials to make art pieces.好利用它).Wang TaoHe wants to set up a theme park to show people it's(5)importan tto protect the environment.8

试题答案1-5 CBABC 6-10 BCCAA 11-15 BACAB 16-20 CCBAB21-23 DDA 24-27 DDBC 28-31 BACC 32-35 BABA 36-40 FDAGE41-45 DCABC 46-50 BACBD 51-55 CAADB56.largest 57.of 58.to satisfy 59.attractive 60.which61.totally62.and 63.presented 64.elements 65.showing写作第一节参考范文：The Chinese Scientist Who Inspired MeYuan Longping,the father of hybrid rice,is one of the most influential scientists inagriculture.For more than 50 years,he devoted his life to rice production.His dedicatedresearch led to the development of high-yielding,disease-resistant varieties,vastly improvingfood security worldwide.His research has not only helped China find a way to remove hungerbut also contributed to the world peace and social progress.Yuan's perseverance and dedication inspire me to strive for excellence,reminding me thatinnovation can solve global challenges.What he did encourages me to pursue a career where Ican make a positive impact.第二节参考范文：The next morning,I told my father that I wanted to return to school.After hearingwhat I said,my dad smiled and said,"It seems that you are fed up with working on the site.But I hope it's your thoughts about the future that make you want to go back to school,notthe hard work on the site."I told my dad that I had thought it through and learned theimportance of study.My dad nodded and said,"You must study hard in the future."I gavemy dad a positive reply and a determined look.I knew I had made a right decision.Back at school,I was a changed person.I no longer sought trouble or acted badly.Ifocused on my studies,and I began to appreciate the value of education.I made new friendswho shared my passion for learning,and together,we supported each other in our academicpursuits.My dedication to my studies paid off as my grades started to improve significantly.My teachers noticed the transformation and praised me for my hard work.My father wasequally proud of my achievements.His pride was evident in the way he spoke about me toothers,and it fueled my determination to keep up the good work.【高二英语·参考答案第5页（共5页）】·25-182B·