34.What can we learn from the passage?第二节阅读短文，根据语篇要求填空，使短文通顺、意思A.The documentary Top Land is more popular than On完整。每空限填一词。the Road.四A mouse saw a bucket (of corn.There was a small hole in the阅B.The couple went to the Amazon rainforest to avoidbucket.The mouse was hungry,so he got into the bucket through the holeCOVID-19.and ate much cornC.The couple seldom attended international meetings onBut he failed ta6 leave the bucket because his belly (waseducationIt wasn't the first time that they had visited the Amazontoo big.The mouse started crying.A rabbit passed by and asked why.The理解mouse said,"I got into the bucket through the hole.Now I can't go outrainforest.35.What's the purpose of the passage?填because my belly is big”“Wait your belly becomes smal,”said theA.To explain why the Chinese couple took the trip.rabbit and then she left.The mouse fell asleep in the bucket.The next morning.his bellyB.To advise people to take a round-the-world trip.was small.But he was hungry again.He forgot everything and ate moreTo introduce the couple and the documentary Topcorn.Ag a result,he couldn't leave the bucket again.At that moment,Land.D.To look for people who want to take a trip with the_cat found the mouse and ate him.When the rabbit learned aboutthat,she shook her head and said,“Greed(贪婪)is the cause of manycouple.nisfortunes(不幸).”A:Hi,Joe.I love your photos of polar bears.(71)The word comes from Greek with"phil'meaning"a lover of and"math"meaningWhere did you take themHumans are all philomaths to some degree..We want to understand五B:I took them in the Arctic(北极地区)A:Wow that's amazing When did you go there?阅the world Our brains give us the ability to learn throughout our livesThough many people love learning.there are plenty who can't standB:(72)I went there three years agoMy father took meit.Lots of people remember their school days as being boring or even补there arwe stayed there for about half a month.It was really excitingpointless.Scientists have suggested that if an idea is boring,itA:(73)Why do you like the Arctic so much驛becomes harder to connect old ideas with new ideas together.ThisB:I like the Arctic because I think it's the cleanest place in the world.Andnegative(消极的)experience of education at school may lead to peopleavoiding learning opportunities in later life.So.don't let a bad educational experience prevent you learning something对Aouyou oen see polar bears thereB:Yes,we could.Polar bears are the most active between March and Maynew.Evolution(进化)hasmmC(内s的)phitomath.4长elong eamers and try to discoveroWe went there in April and could often see themA.Why is this?A:Sounds great.I wish I could go there one day.B We're interested in eveB:I plan to start my next journey to the Arctic with my father next yearC.Who knows whatwe can achieve?Would vou like to ioin us?D.It means a person who loves to study.A:(75)Yes,I'd like toI need to makeE.Therefore,we will lose interest and get less informationpreparations nowhson was on the vway.Kelly couldn't 41 to race on the假如你是王丽，你的英国笔友Toy最近在交友方面遇三六到一些困惑。不久前，他发来邮件向你寻求帮助。请你给他回一封邮件。词数不少于100（开头和结尾已给出，不计入总词数)。完形填空aDear Wang Li,面have a good friend at school.He is active.And he is friendly and helpfuI knowy that'sto everyone.I'm proud of being friends with him.However,my parents51said "Rut it sounde likews for vour teamKelly thedon't allow me to play with him because he isn't good at study.They askd being the fastessheared moreabout theme to make friends with"good kids".In their eyes,"good kids"are thoseked them to play a gangot the ball and53passed it to Kelly.Then Kelly kieked it hard towardsstudents with high scores.This troubles me deeply.Should I listen to themhecan beYours,Thankswe pullgTonyre rightthaSesaidC41.A.agreeB.expectC.waitD.standD 42.A.usB.herC.himD.themC43.A.coachB.managerC.runnerD.leaderDear Tony,B44.A.busyB.silent.awakeD.healthy六I'm sorry to hear that you have trouble.I'm glad to helpA 45.A.alwaysB hardlvC.sometimesD.neveryou.B46.A.callB.beatC.inviteD.believeB47.A.tiredB.nervousC.happyD.surprisedD 48.A.talk back toB.look back atC.keep away fromD.catch up with面D49.A.disappearedB.attendedC.competedD.laughedC 50.A.imagineB.discoverC.explainD.predictA 51.A.disappointingB.meaninglessC.interestingD.understandingI hope everything will go well with you soon.B.52.A.ballB.teamC.gameD.practiceYours,A53.A.quicklyB.widelyC.luckilyD.clearlyWang LiC.54.A.checkedB.sharedC.scoredD.reportedD.55.A.unlessgB.althoughC.untilD.ifexceawful写作指导：四boy named第一节六本篇作要求同学们写一封邮件，写作重点是解答Before the Christmas holiday I reaa story The Litlest Angel to theToy的困惑，并为他提出一些合理的建议。阅读短文，从class.This ltle angel had in heaven.He语篇©主题：人与社会之社会服务与人际沟通方框中选择适his happy time i⊙子主题：良好的人际关系与社会交往当的词并用其the past.show-and-tell time the next day,David sat in front of©主要时态：一般现在时回主要人称：第一人称正确形式填空，the class with a box."This is my first tooth,"he explained."This is.."He⊙行文布局：空使短文通顺、afraiwhen go表意思完整。每take so that I can always remember you"Knowing th box①分析原因I think your parents do that because they want you to空限填一词，or te dayeparnice and ten pcedget higher scores in tests by making friends with the topWhen the holiday was over.all the students returned to school每词限用一次。except He上students.I have neveremember the"little angel".and his box full of love forever.3

同步练根据句意及汉语提示填空，每空一词。Part C1.I will visit you on Sunday,if there is nothinggetting in the_way_(妨碍).>要点归纳12.The boy fell off the bike on his theeihr通常用于否定句中，置于句尾，前面可用逗号隔开wayhome(在回家的路上).“也”0通常用于肯定句或疑问句中，常置于句尾并用逗号隔开，比较口语化3.By the way(顺便问一下)，aso通常用于肯定句或疑向句中，常置于动词，助动词或情态动词之后，行为动词之前may I have your phone number?4.You can improve your Englishindifferent ways_(用不同的方法).g◇基础训练同步练I.根据句意及汉语提示完成下列句子。请选用too,also或either填空。l.Jack failed(失败)in the table tennis,.but hedidn't give it up.1.Jack doesn't like carrots.Sally doesn't2.Everyone had the same feeling(感觉)as Boblike them,either.at that time.2.He can speak Japanese.His sister can speak3.Daming always tells us jokes_(笑话)to makeJapanese,toous laugh.3.Mr.Li works in the hospital.My father also4.Listen:Someone(某人)is knocking on the door.works there.5.Living in another city alone,Maria really4.-Did you pass the exam,toomisses(想念)her family.Yes,I did.Ⅱ.从方框中选择合适的短语，并用其适当形式完成下列句子。要点归纳2“as+形容词/副词原级+as+比较对象”，意talk with don't worry know little about为“和…一样…”，表示两者在某一方面make friends with by the way程度相同，多用在肯定句1.-Tim knows little about Chinese culture.Can“not as/so+形容词/副词原级+as+比较对you help him with it?象”，意为“和…不一样…”，表示两者在-Sure.某一方面程度不相同，或者某人或某物在某2.By the way thank you for coming to my一方面不如另一人或物。birthday party last week.3.Aftertalking withher parents,Linda feltas..as既可用在肯定句，也可用在否定句much better.而so..as只能用于否定句。>例句talk with don't worry know little aboutLin Tao speaks English as well as Jim.make friends with by the way林涛英语说得和吉姆一样好。You are not as careful as your brother.4.Can Tony live by himself?You are not so careful as your brother.-Don't worry.He is old enough to look after你没有你哥哥细心。himself.●拓展5.Jerry thinks of others more than himself.Hisas easy as ABC极其容易classmates all like to make friends with him.as busy as a bee忙忙碌碌8as hungry as a wolf饥肠辘辘Ⅲ.根据下A:,You look happy.1.s tend m she选择填空。同步练(A)5.Dr.Yuan Longping had a dream that面的对话went to a new school three months ago.he could develop rice asas情景，在每A:2.What did she say in the letterpeanuts(花生).(2021湖北黄石)B:She said she missed her old school and个空白处A.largewished to see meB.largest填上一个A-Isnow?C.largerD.the largestBut a few根据汉语意思完成英语句子，每空一词。适当的句A:Howdid she feel at that timeshe was6.莉莉和罗斯一样可爱。子，使对话B:She felt upset and lonely at that time.She hadLily is aslovely as Rose.的意思连A:What did she do to make a change7.托尼开车没有他爸爸小心Tony doesn't drive'as so carefully贯、完整。B:She askedashis father.and cheered her up.8.你和他一样早到教室吗？A:That's good news.I'm glad she is used to lifeDid you get to school asearlyin her new school now.B:Me,too.as him?5

团GLOBAL ENGLiS团Ⅲ.以下为课本第58-59页文章的缩写，请认真阅读，并在空白处填入1个适当的单词或括号内单词的正确形式。Christopher Reeve is not only known as a若美花报社superhero in the Superman films,but he is alsoEARNING ENGLISHregarded as a superhero in real life.When Reeve was young,he showed passion in新课程acting.Later he 1.was given (give)the lead role in a第31期Superman film.Reeve starred in four Superman高一(B)必修2第2版films from 1978 to 1987.He realised that his roles in同步课堂these films had given him the opportunity to be a(Lesson 3,Unit 6)real-life superman,and he soon gained a reputationfor raising 2.awareness (aware)for good causes.阅.仔细Early life读He got the lead role inaSerman film.阅读课His successUnfortunately,in 1995 disaster 3.struck (strike)本第58-Reeve.He was thrown off his horse and had his★He broke his4while horsehack务59页的A disaster:二wor feelneck 4.broken (break).His injuries were 5.so文章内severe that even doctors thought he wouldn't容，完★1 te fell into6.and wanted to endsurvive.During this time,Reeve felt like he hadHe found the7成下列lost all hope.He wanted to kill 6.himself (he)and图表。fell into a depression.It was only due to theRecovery→ongoing support of his wife,parents and friends7.that he eventually found the will to live again.→He was born on 25 September.1952 in New York.He 8.actively (active)engaged in a wideHe starred in his first school play at the agerange of exercises to recover.Shortly after,Early lifeof 1.eightReeve returned to his film career by directing,He got the lead role in a Superman filmproducing and even 9.starring (star)in films.He also wrote a biography and returned to hisHe starred in 2.four Superman filmscharity work.Sadly,Reeve passed away in 2004.His successHe did much to help those 3.in needHe will always be remembered 10.as asuperhero-in more ways than one.ggEXERCISE GARDENHe broke his 4.neck while horseback随堂练riding.A disasterHe couldn't move or feel.(Lesson 2,Unit 6)He even needed a machine to help him5.breatheI.用括号中所给单词的适当形式填空。1.Taking on the right amount of responsibilityHe fell intoadepression and wanted to endand independence(independent)can push youHis feelingshis own lifeto become a successful teenager.He found the will to live with the help ofhis wife,parents and friends.2.When Jim worked in a shoe factory,he tookpart in three peaceful (peace)protests.He 8exercisedand made great progress.3.Although Henry suffered racial (race)*He managed to return to his film career bydiscrimination in the company,he managed todirecting,producing and 9.starring inRecoverymake friends with some colleagues.films.He wrote a biography and helped people4.The inspiring (inspire)stories in this book arewith back injuries and disabilities.very popular among teenagers.5.Mount Tai,located just north of Tai'an city,is10InfluenceHis story inspires people even after his death.famous for its impressive (impress)views andHe is a superman in both films and real lifebeautiful natural scenery.

35.长城是中华文明的瑰宝，最初是农耕文明与游牧文明的分界线，最终成为中华民族的象征。阅读材料，回答问题。(10分)材料一鞑靼乌里雅苏台库州乌里苏台京师北京图一图二一以上材料均摘自人民教育出版社《中外历史纲要（上）》(1).材料一中图一、图二分属哪一朝代？指出各自应对北方少数民族问题的有效举措。(6分)材料二（面对臣下建议修建长城）唐太宗：“隋炀帝劳百姓，筑长城以备突厥，卒无所益”。“隋炀帝性好猜防，专信邪道，大忌胡人，乃至谓胡床为交床，胡瓜为黄瓜，筑长城以比避胡，终被宇文化及使令狐行达杀之。”“自古皆贵中华，贱夷狄，朕独爱之如一，故其种落皆依朕如父母。”《贞观政要》《资治通鉴》康熙：“秦筑长城以来，汉、唐、宋亦常修理，其时岂无边患？明末我太祖统大兵长驱直入，诸路瓦解，皆莫敢当。可见守国之道，惟在修德安民，民心悦则邦本得，而边境自固，所谓众志成城者是也。…今欲修之兴工劳役，岂能无害百姓？且长城延袤数千里，养兵几何方能分守？一一清·章梫《康熙政要》(2).请以“长城与守国之道”为主题，从材料二中提取关联的信息并结合所学，加以论述。（要求言简意赅加以论述。不要求写成小论文。）(4分)9

17.某实验小组用差速离心法分离某哺乳动物消化腺细胞中的甲、乙、丙三种细胞器，三种细胞器含有的有机物种类如表所示。下列有关推测合理的是细胞器种类蛋白质脂质核酸甲++乙++丙注：“十”表示含有，“一”表示不含有。A.细胞器甲中进行的生理过程的原料是核糖核苷酸合酒卫长酿干菩AB.细胞器乙可为细胞中的各项生命活动提供能量职即景，南息合盘景哪C.细胞器丙可能与消化酶的加工和分泌有关王，烟恢县用计味啦期咖照D.核仁可参与细胞器甲的形成果骨的布面自最由@18.细胞核的结构模式如图所示，下列有关说法正确的是层小意，感小。共限本：科安是，。家要目暖合货士个两Lo蛋白质小分子ADP细胞核、A21ADP←RNAA细胞分裂时，①会高度螺旋化味。其B.②与核糖体的形成密切相关米C.真核细胞中的DNA均位于细胞核中D.人体成熟的红细胞没有③京A三、非选择题：本题共5小题，共59分。19.(11分)图甲为生物界细胞种类概念图，图乙为两种不同的细胞结构图。据图回答下列问题：22.,”首路罪“的家赛套细胞①：真核细胞②：甲(1)图甲中的②处为与①类型细胞相比，②类型细胞在结构上的主要区别是是(2)图乙中的A、B细胞分别属于图甲中的(选“①”或“②”)类型细胞。A、B细胞均含有的细胞器是0(3)已知图乙中的A、B细胞均可以进行光合作用，两者进行光合作用的具体场所只只。自(填“相同”或“不相同”)，其中B细胞可以进行光合作用的原因之一是含有等光(4合色素。00【高一生物学第4页（共6页）】·24-138A·00

成了后世制定法典的准绳。天下没有“万世不变的法则”，古代法制并不是封建帝王口含天宪“上之所是，必皆是之；上之所非，必皆非之”的那样。从《商君书》的“礼法因时而定，制令各顺其宜”到唐初立法的“取合时宜”，制定与之相适应的法制。总之，在我国古代史上，一朝结束，一朝兴起都制定法律，本质上是一致的。一一摘编自杨廷福《论中国古代法制建设》材料二明太祖朱元璋在总结元朝灭亡的历史教训时认为，元败于“纵驰”，因而主张“刑用重典”，即“重典治国”。在立法层面，明朝颁布制定了大量的法律来加强对官吏的治理。《大明律》规定，设“六赃”罪，即监守盗、常人盗、窃盗、枉法、不枉法和坐赃六种非法占有公私财务的贪赃行为，以显示罪行的严重。明律中严厉惩罚贪赃枉法的条文比前朝法律大为增多，规定也更加细致全面。在刑法制度上，对于违反法律官员的处罚，量刑较之前朝加重以外，还有一点就是对于官吏的定罪一旦判定，则该官吏永久被除名，终身不得录用。除此之外，朱元璋还说：“明处法令行之久矣，奈何犯者相继？由是出五刑酷法以治之，欲民畏而不犯，作《大诰》以昭示民间，使之趋避。”尽管朱元璋明白“明主治吏不治民”的道理，他深知农民阶级的威力之大，因此必须管理好人民，既要体恤民情，又要防止民众力量过于强大。一摘编自徐芃《论明代法治的“重典治国”及对中国当代反腐倡廉建设的启示》(1)根据材料一并结合所学知识，概括中国古代法制建设的主要特点。(4分)(2)根据材料二，概括明代法治政策的主要表现。并结合所学知识，指出明代运用法律治国与前代的不同。(8分)18.阅读材料，完成下列要求。(14分)材料一第二次鸦片战争之前，因为中国历代政府严禁人民私自出洋，也严禁外国人从中国口岸掠贩人口，所以无论是中国人民自行出洋做工，还是外国人掳掠华工出洋，都为非法的私下行为。第二次鸦片战争以后，以英国为首的侵略者一面继续私下非法掳掠华工，一面谋求掳掠华工正规化、法定化。他们与清政府签订了一系列的招募华工及华工权利规定。但外国招慕华工并非完全按约办理，亦非如有的论者所言，清政府置华工权利于不顾，而是清政府尚不知外国招募华工及华工遭遇困难之实情。1872年，清政府从“《新报》所载等多方所知古巴地方之华工，其受苦视在秋鲁者略等”。后派陈兰彬等人前往古巴，将调查结果形成文字报告，即《古巴华工调查录》。以此为据，总理衙门最终获得英、法等五国的支持，并于1877年迫使西班牙签订《会订古巴华工条款》十六条，以保护和维护华工在海外的权益。一摘编自虞和陈君静《陈兰彬与中国维护出国华工权利的起始》材料二近代美国华人移民绝大部分来自广东等沿海地区，且多为自耕农，几乎没有受过学校散育，这是19世纪中晚期华人移民的总体形象。华人移民到美国后，多从事非技术性工作或技术性不强的工作，很少有人从事与大工业机器生产相关的、对劳动技能要求严格的工作。移民到美国的华人对当地的建设作出了重要贡献。中央太洋铁路公司的四大股东之一利兰·斯坦福在1865年10月10日给约翰逊总统的一份报告中说：“（华工）一个阶层，他们安详、和、耐心、勤劳、节俭，他们（比白人劳工）更谨慎和节俭，因而工资少点也毫无怨言…如果没有华人，要在《国会法案》规定的时间内建成这个宏大的全国性工程的西段，是完全不可能的。”—一摘编自许国林《近代美国华人移民的职业变化》【高三年级11月份月考·历史第4页（共6页）】243285Z扫描全能王创建

Mike is going to watch the football match on TV.HeShe works hard and does a lot for the patients andhopes his favourite players can(6)win thedoctors 8 her work in Tibetmatch.My sister would like 9 a good doctor like MsOn Sunday morning,Mike's aunt is coming toZheng.And she looks forward to 10 in Tibet andMike's city by plane.Mike is going to the(7)airportdoing something good for people there one day.to meet his aunt there.In the afternoon,he plans to(C)8.A.toB.ofC.duringgo over his lessons.(8)What is Mike going to do(B)9.A.beB.to beC.beingin the evening?He is going to have dinner in(A)10.A.workingB.work(9)a Chinese restaurant with his family.C.worksAnyway,Mike's weekend is going to be busy(10)but great fun and he can't wait.Ⅱ，完形填空。V阅读理解。George's family doesn't have much money.They justspend money on 1 things like food.But George wants toHi!I'm a student at Hetou School in Tianjin.Ispend money on 2 tickets,because his children like thatwant to tell you something about my favouritesport.Today there is a tennis game in the city.George andteacher.His name is Lin Mao.We usually call himhis children take the 3 to the city sports hall.AfterMr Lin.He is 38 years old and he comes from Anhui.getting there,they walk to the woman at the ticketHe teaches us politics at school.Students inoffice.George asks,"How much is it to 4?"my class love him,because he cares about(关心)(D)1.A.specialB.expensiveevery student.C.difficultD.importantMr Lin has a computer and there is a special(B)2.A.concertB.tennis C.movie D.plane(A)3.A.busB.train C.carD.taxifolder(文件夹)onit.He names it“Happy(C)4.A.go overB.get up C.get in D.turn onHomeland".There are 40 documents in it“S3 for you and $3 for any child who is over(超过)Every document is named after one of his students6.If your children are under 6,you don't have to 5In these documents,there are photos and letterstickets for them,”the woman says.“How old arebetween him and the students.Mr Lin says thesethey?”documents let him know about his students and“One is3 and the other is7.So I should pay(支付)that's why he has the folder.6 dollars,.right?”We like Mr Lin's classes,because we can haveThe woman says,"Hey,if you tell me the olderfun learning something new in his classes.Mr Linone is 6,you can 7 yourself $3.I can't tell thealways encourages(鼓励)us to write down ourdifference..”ideas of different things and share them with him.(D)5.A.makeB.print C.find D.buyHe also visits our families.He says these things(A)6.A.6B.7C.8D.9help him know more about us.He says,"I love(C)7.A.leaveB.lose C.save D.taketeaching.I want to spend more time on studentsand teaching.”George says,"Yes,you are right.But my 8 knowthe difference..I have to set a good example(树立好(B)1.What do we know about Mr Lin?for them,and 9 they can set good examples forA.He is twenty-eight years old.others,too.”B.He is welcome in his classAt last,George and his children spend a 10C.He teaches Chinese at the school.afternoon watching the game and then go backD.He is from Tianjin and lives in Anhui.home happily by bus again.(C)2.Why does Mr Lin make the folder?(A)8.A.childrenB.parentsA.To save his teaching plansC.teachersD.workersB.To save the photos of himself.(B)9.A.againB.then C.stillD.anyway(D)10.A.busyB.strangeC.To get to know his students.C.luckyD.fantasticD.To save the letters from his friends.Ⅲ，短文填空。请阅读下面短文，在所给的每个空格中(A)3.What does the writer think of Mr Lin's填入一个形式正确、意义相符的单词。classes?The weekend is coming and Mike makes someA.They are interesting.(1)plans for it.On Saturday morning,Mike isB.They are difficult.going to go shopping with his friends.They want toC.They are important.(2)buy some food and drink.And then they areD.They are traditional.going to (3)have a picnic in the Green Park.They(D)4.How does Mr Lin know more about hiswill enjoy themselves eating and talking on the grassstudents according to the last paragraph?In the afternoon,Mike is going to stay at home.HeA.By writing to them.will help his mother (4)do some housework.B.By writing down his ideas.There is going to be a football match(5)_at sevenC.By playing sports with them.o'clock in the evening.D.By going to visit their families.3

三第二节阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。Could three minutes on a museum website actually improve your语言知mental health?A new study finds viewing galleries and museum exhibitsonline can benefit someone's well-being-just like going to an art exhibit61inperson.Previous studies have found that 62.visit to a gallery omuseum can have a powerful impact on a person's mood and well-being.Therefore a group of)from the University ofVienna and the Max Planck Institute for Psycholinguistics wanted to see if运用the same was tru of people goingto the same destinh ntemetDuring the study.volunteers were required 64.(visit)artexhibitions online,using 65.their(they)smartphones,tablets,andother digital devices Before and fter theisitshem(measure)each person's psychological state and well-being三Results show that even a brief online visit can produce a greatimprovement in someone's mental state.After just one or two minutes语67.spent (spend)looking at an online art gallery,participantsreported lower levels of negative mood,anxiety,and 68.loneliness(lonely),as well as higher subjective well-being.知识运On a subjective level,the team found that people 69.who/thatfound the digital art to be more meaningful or beautiful also reported morepositive feelings after the experience.Researchers concluded that usingthe Internet to visit an online art exhibit can serve as a potential tool which7ignfcnty(significant)improves well-being.9One day when I saw Alice in the street,she looked unhappily.I greet第一节短文改错四I didn't know which it was.Late that day,I learnt from a friend that shewhatLater磊WasThinkingI telephoned her but comforted her.She was glad to receive my call andandexpressed her thank to me.We talked a lot on the phone and I could feelthanksshe had comeo of my failure.It was really a pleasant thing to helpthherothers.第二节书面表达假定你是李华，正在英国一所高中作交换生，你想四建议校医务室开展一些活动来帮助同学们学急救知识。请你给医务室负责人Mr Jones2写一封邮件，内容写包括：1.提出建议；2.说明原因；3.表达感谢。注意：1.词数100左右；2.可以适当增加细节，以使行文连贯参考词汇：医务室infirmarygOne possible version:Dear Mr Jones,I'm Li Hua,an exchange student in our school.I'm writing四to suggest that the school infirmary start some activities tohelp students acquire some first-aid skills.As you know,first-aid skills are of great importance inavoiding injuries and deaths in emergencies.However,I findmany students in our school lack relevant knowledge.So it'snecessary to engage students in some activities designed toteach them how to deal with different emergencies.I believethese activities will benefit students a lot.And I'd appreciateit if you could take my suggestion into consideration.Looking forward to your early reply.Yours,(范文中加下划线的句子可作为佳句背诵。)详见答案解析页。Li Hua4

18.(本题满分12分)如图，在三棱锥P-ABC中，已知PA⊥面ABC,面PAC⊥面PBC.(1)求证：BC⊥面PAC;(2)若C-VC,M是PB的中点，AM与面PBC所成的正弦值为子，求面PBC与面ABC夹角的余弦值，第18题图解：(1)过点A作AD⊥PC于点D,因为面PAC⊥面PBC,面PAC∩面PBC=PC,ADc面PAC,所以AD⊥面PBC.......4分则AD⊥BC,又因为PA⊥面ABC,所以PA⊥BC,PA∩AD=A,故BC⊥面PAC..….6分(2)几何法：因为BC⊥面PAC,所以BC⊥AC,又因为AD⊥面PBC,所以∠AMD为AM与面PBC的所成角，….8分令C=6,ACM0用0M粉+222a则sina@+G+子，解得a=V2..10分因为PC⊥BC,AC⊥BC,且面ABC∩面PBC=BC,所以∠PCA为P-BC-A的面角，cos∠PCA=4C=1-3.12分坐标法：因为BC⊥面PAC,所以BC⊥AC,则以CA为x轴，CB为y轴建立空间直角坐标系，z轴∥AP,取BC=V3,AC=1,PA=a,则AL,0,0),B(0,V5,0),P1,0,a),590=,=a50,西=9M(高二期末检测数学参考答案第4页（共9页）