1、2019-2020年高二上學期第二次階段考數學試題含答案注意事項：1.試題分為第I卷和第II卷兩部分，滿分150分，考試時間為90分鐘.2答第I卷前務必將自己的姓名、考號、考試科目涂寫在機讀卡上3請把第II卷試題答案寫在答題卡上。考試結束，答題卡收回.第I卷一、選擇題：在每小題給出的四個選項中，只有一項是符合題目要求的，請把正確答共60分）.案的代號填在題后的括號內（本大題共12個小題，每小題5分，1.不等式表示的平面區域（陰影部分）為（AO二二BD12.已知a是等比數列，a=2,a=4,則公比q等于（）B2C21D-23.等差數列a中，a2+a4=14,a5=13，則數列a的公差為(n245

2、nD.5)A2BC44.公比為2的等比數列an的各項都是正數，且a30=144,則a5等于（）A.3D.1B.4C.25.在等差數列a中，已知a3+a7=32,則該數列前9項和S9等于（）A.58B.88C.144n379D.1762x一y<06.若，滿足<x+y<3，則的最大值為()A.0B.3C.4x>0D.5x一2<0,7.已知點P（x,y）在不等式組<y-1<0,表示的平面區域上運動，則z=x-y的取值范圍x+2y一2>0是()A.-1，2B.-2，1C.-2，-1D.1，22x+y>4,8設x,y滿足<xy>-1,則z

3、=x+y()A有最小值2,最大值3B.有最小值2,x2y<2,無最大值C.有最大值3,無最小值D.既無最小值，也無最大值9. 設a是公比為正數的等比數列，若=a5=16，貝燉列a前7項的和為()n15nA.63B.64C.127D.12810. 不等式的解集為,則()A.B.C.D.11. 記等差數列的前n項和為S，若S=4,S=20，則該數列的公差d=()A.2B.3C.6n24D.712. 設是等差數列的前n項和，若，則數列的通項公式為()A.=2n+1B.=2n1C.=2n3D.=2n+9第II卷(共90分請把第II卷試題答案寫在答題卡上)二、填空題：(本大題共4個小題，每小題5分

4、，共20分)13. 設x,y滿足x+y=60,且x,y都是正數，則xy的最大值為.14. 3與7的等比中項是.15在平面直角坐標系中，不等式組錯誤！未找到引用源。表示的平面區域的面積是.16、數列的通項公式為，若前n項的和為10,則n=三、解答題(本大題共6個大題，共70分，解答應寫出文字說明，證明過程或演算步驟)17(本題滿分10分)解不等式(1)(2)(3)2x+y一2>018、(本題滿分12分)設x,y滿足U2y+4>0。(1)求的取值范圍；3xy3<0(2)求的取值范圍。19.(本題滿分12分)(1)在等差數列中,d=2,n=15,求及（2）在等比數列中,求及.20.

5、（本題滿分12分）已知等差數列a中，°嚴29,S10=S20，問這個數列的前多少項和最大?并求此最大值.n1102021. （本題滿分12分）已知數列是等差數列，且，.求數列的通項公式；令，求數列的前項和的公式.22. 某高科技企業生產產品A和產品B需要甲、乙兩種新型材料.生產一件產品A需要甲材料1.5kg，乙材料1kg,用5個工時;生產一件產品B需要甲材料0.5kg，乙材料0.3kg，用3個工時.生產一件產品A的利潤為2100元,生產一件產品B的利潤為900元.該企業現有甲材料150kg,乙材料90kg,則在不超過600個工時的條件下，生產產品A、產品B的利潤之和的最大值為多少元?

6、（XX第二次階段考試高二數學試題第II卷答題卡）二、填空題：（本大題共4小題，每小題5分，共20分）13141516三、解答題：（共70分.要求寫出必要的文字說明、重要演算步驟，有數值計算的要明確寫出數值和單位，只有最終結果的不得分.）17（本題滿分10分）18（本題滿分12分）19（本題滿分12分）20（本題滿分12分）21（本題滿分12分）22（本題滿分12分）承德八中xx第二次階段考試高二數學試題參考答案17解：(1)(2)R(3)18解1）；（2）題號123456789101112答案DDBACCABCDBA1390014.±1541612019-解:由題意:a1+14-2=

7、一U解得齊=一込所以Sn=化+也產由題意:<9解得a(1+q+q2)=3a=rx12或q二1a=6i1lq_220.解析：設數列a的公差為dnVS10=S20,A1OX29+d=2OX29+d解得d=-2丄UZU'a=2n+31n設這個數列的前n項和最大，則需：a$0nn+1WO14.5WnW15.52n+31$0即-2(n+1)+31W0*.*nN,An=15當n=15時，S最大，最大值為S15=15X29+(2)=225.n1521解：(1),3a+3d=2，即2/.a=2+(n-1)-2=2n.1n(2)由已知：S=2-3+4-32+6-33+2n-3nn3S=2-32+4

8、-33+6-34+2n-3n+1n-得-2S二2-3+2-32+2-33+卜2-3n2n-3n+i=n33n+131S=+n-3n+i=+(n)3n+1n22222解：設生產產品、產品分別為、件,利潤之和為元,那么15x+0.5y<15Q,jr+0.3y<90,«5r+3_y<60Q,目標函數.二元一次不等式組等價于3x+y<300,10x+3y<900,5x+3_v<600,x>0,作出二元一次不等式組表示的平面區域（如圖），即可行域.7°-7z77z將一呱+叫變開海一產耐平行直線尸-尹苔直線產莎經過點旗缺解方程組取得最犬值得M的

9、坐標(施100)-5x+3y=600所t爛乂=60汀=100時,z=2100x60+900x100=216000.故生產產品、產品的利潤之和的最大值為元高二英語檢測題第一卷第一部分：聽力（共兩節，滿分30分）第一節（共5小題；每小題1.5分，滿分7.5分）請聽下面5段對話，選出最佳選項。1 .Whereisthewomangoingwithherchildren？A. ToAustraliaB.ToCanada.C.ToJapan.2 .Howmuchshouldthemanpay？A. 16.B.32.C.60.3 .WhatdoesthewomanexpectthemantodoonSat

10、urday？A. Celebratetheirmum'sbirthday.B. TakeBrianoutfortheday.C. HelpBrianmovehouse.4 .Whatdoesthewomanmean？A. Shedoesn'tlikethejob.B.Shewilltakethejobrightaway.C.Sheisn'tsurewhethertotakethejob.5 .Whatarethespeakersmainlytalkingabout？A. Anovel.B.Afilm.C.Awriter.第二節（共15小題；每小題1.5分，滿分22.5分

11、）聽下面5段對話或獨白。每段對話或獨白后有幾個小題，從題中所給的A、B、C三個選項中選出最佳選項，并標在試卷的相應位置。聽每段對話或獨白前，你將有時間閱讀各個小題，每小題5秒鐘；聽完后，各小題將給出5秒鐘的作答時間。每段對話或獨白讀兩遍。聽第6段材料，回答第6至7題。6 .Whatwillthewomandothisevening？A. Attendaparty.B.Visithergrandma.C.Dosomeshopping.7 .Whatdoesthemanadvisethewomantodo？A.Makeaskirt.B.Buyahandbag.C.Wearanecklace.聽第7

12、段材料，回答第8至9題。8 .Wheredoestheconversationtakeplace？A. Atahotel.B.Atanairport.C.Atapolicestation.9 .Whatdoesthemansuggestthewomando？A.Waitwheresheis.B. Makearequestfortheloss.C. Givehimhertelephonenumber.聽第8段材料，回答第10至12題。10. What'stherelationbetweenthespeakers？A.Husbandandwife.B.Friends.C.Bossandwo

13、rker.11. Whydoesthewomanlookworried？A.Shehasbeenlateforworkrecently.B.Sheisnotgettingonwellwithherboss.C.Shehastroubletakingherchildrentoschool.12. WhatmightthewomanthinkofAlice'swaytodealwithherproblem？A.Practical.B.Strange.C.Wrong.聽第9段材料，回答第13至16題。13. Howlongwillthecourserunthisyear?A.Sixweeks

14、.B.Sevenweeks.C.Eightweeks.14. Whatwasthewomansurprisedat？A.Thelackofassistants.B. Theconditionofweather.C. Thenumberofchildren15. Whatnewactivitiescanthechildrenhavethisyear？A.Adventuresports.B.Funprograms.C.Creativeclasses.16. Whatisexpectedaboutthecoursethisyear?A.Itwillrunbetter.B.Itwilllastlong

15、er.C.Itwillstartearlier.聽第10段材料，回答第17至20題。17. WhatdifficultydidthespeakerhavewhenstartingtolearnFrench？A. Grammar.B.Vocabulary.C.Pronunciation.18. WhydidthespeakergotoFrance？A. Tosettlethere.B.Tolookforajob.C.Tocontinueherstudies.19. WhatdidthespeakerthinkofherFrenchaftershearrivedinFrance？A.Poor.B.

16、Acceptable.C.Excellent.20. Whatisthemostimportantinlearningalanguageaccordingtothespeaker?A.Masteringthegrammarrules.B. Usingthelanguageinreallife.C. Knowingalargenumberofwords.2019-2020年高二上學期第二次階段考英語試題含答案第一節（共15小題；每小題2分，滿分30分）閱讀下列短文，從每題所給的四個選項（A、B、C和D）中，選出最佳選項。AWatsonenteredMr.Smith'soffice.The

17、bosswasahardman.Hefiredpeoplewhodidn'tdowellwithoutgivingthemasecondchance.“Watson,”saidMr.Smith,“thispastyearyourdepartment（部門）hasn'tearnedmoney.We'regoingtodropthatdepartment.It'sfinished.I'msorry,butyou'llhavetogo.”“But,sir,ifIjusthadalittlemoretime.ForthemomentIneedthejob

18、tokeepmysonatRiversideSchool.”“What'sthat!”saidtheboss.“Riverside!Ididn'tknowyouhadaboythere.That'sanexpensiveschoolforamanwithyoursalary.”“Iknow,sir.Buthelikesittheresomuch!He'sastarsportsmanandthebestboxerintheschool.TheboyscallhimChamp（冠軍）there.”Thebosssatperfectlystillforalongtim

19、eafaraway（恍惚的）lookinhiseyes.Then,suddenly,hesaid,“We'vegottocloseyourdepartment,Watson.Butyou'lltakeoveranewjobinanotherdepartment.Itmeanslongerhours-maybemorepay.Nowgetout.You'rehereforlife.”Watsongotout,withsurpriseonhisface.Thenthebosstookaletterfromthetopdrawerofhisdesk.ItwasHerbie&#

20、39;slastletterfromRiversideSchool-writtenafewdaysbeforehedied.Hehadreaditoverandoveragainwithsickpain.Theletterread:Ican'tsaytheboyshereareanynicertomethantheotherswere.Iguessit'sthesameeverywherewhenyo'ureacripple（跛腳的人）.Butdon'tworryaboutme,Dad.They'vegotagoodchemistrydepartment

21、here.Andthe'resoneboyherewhoisreallygreat.H'esatrackstarandboxingchampandjusttopsinchemistry.TheboyscallhimChamp.Hemadethemstopthrowingmybooksaround.Andheknockedaboydownwhohitme.HeisthebestfriendIeverhad.Dad,whenIgrowup,1wanttodosomethingforChamp.Somethingbigthathewon'tevenknowabout.Your

22、son,Herbie21. Mr.SmithwantedtofireWatsonbecause.A.WatsonwouldtakeoveranewjobinanotherdepartmentB. WatsonhadhissonstudyinRiversideSchoolC. Watson'sdepartmentdidn'tearnmoneythatyearD. Watson'ssonknockedaboydownwhohitHerbie22. Wecanlearnfromthetextthat.A.Mr.SmithwastoldnottofireWatsonbyHerb

23、ieB. Mr.Smithdidn'tknowthatChampwasWatson'ssonatfirstC. Mr.SmithdecidedtogiveWatsonanotherchancerightawayD. Mr.SmithwantedtorealizeChamp'sdream23. Accordingtothetext,whichwordscanbestdescribeMr.Smith?A.Selfishandgreedy.B.Sympathetic（有同情心的）andgrateful.C.Hardworkingandstrict.D.Easy-goingan

24、doptimistic.24. Theauthorwrotethetextinorderto.A.shareamovingstorywithusB.makeourchildrenenjoylifeC.provideuswithtipsonworkD.helpustodealwithourbossJamesClevelandOwenswasthesonofafarmerandthegrandsonofblackslaves.HisfamilymovedtoClevelandwhenhewas9.There,aschoolteacheraskedtheyouthhisname.“J.C.,”her

25、eplied.Shethoughthehadsaid“Jesse”,andhehadanewname.Owensranhisfirstraceatage13.Afterhighschool,hewenttoOhioStateUniversity.Hehadtoworkparttimesoastopayforhiseducation.Asasecond-yearstudent,intheBigTengamesin1935,hesetevenmorerecordsthanhewouldintheOlympicGamesayearlater.AweekbeforetheBigTenmeet,Owen

26、saccidentallyfelldownthestairs.Hisbackhurtsomuchthathecouldnotexerciseallweek,andhehadtobehelpedinandoutofthecarthatdrovehimtothemeet.Herefusedtolistentothesuggestionsthathegiveupandsaidhewouldtry,eventbyevent.Hedidtry,andtheresultsareintherecordbook.ThestagewassetforOwens'victoryattheOlympicGam

27、esinBerlinthenextyear,andhissuccesswouldetoberegardedasnotonlyathletic運動的）butalsopolitical.HitlerdidnotcongratulateanyoftheAfricanAmericanwinners.“Itwasallrightwithme,”hesaidyearslater.“Ididn'tgotoBerlintoshakehandswithhim,anyway.”HavingreturnedfromBerlin,hereceivednotelephonecallsfromthepreside

28、ntofhisowncountry,either.Infact,hewasnothonored（給予榮譽）bytheUnitedStatesuntil1976,fouryearsbeforehisdeath.Owens'Olympicvictoriesmadelittledifferencetohim.Heearnedhislivingbylookingafteraschoolplayground,andacceptedmoneytoraceagainstcars,trucks,motorcycles,anddogs.“Sure,itbotheredme,”hesaidlater.“B

29、utatleastitwasanhonestliving.Ihadtoeat.”Intime,however,hisgoldmedalschangedhislife.“Theyhavekeptmealiveovertheyears,”heoncesaid.“Timehasstoodstillforme.Thatgoldenmomentdieshard.”25. Owensgothisothernamewhen.A.hewenttoOhioStateUniversityB.histeachermadefunofhimC.histeachertook“J.C.”for“Jesse”D.hewong

30、oldmedalsintheBigTenmeet26. IntheBigTenmeet,Owens.A.hurthimselfinthebackB.succeededinsettingmanyrecordsC.triedeverysportseventbutfailedD.hadtogiveupsomeevents27. WhenOwenssays“Theyhavekeptmealiveovertheyears”,hemeansthatthemedals.A.havebeenchangedformoneytohelphimliveonB. havemadehimfamousintheUSC.

31、haveencouragedhimtofacedifficultiesinlifeD. havekepthimbusywithallkindsofjobs28. Whatcanbethebesttitleforthetext?A.JesseOwensAGreatAmericanSportsmanB.TheBigTenGamesC.MakingaLivingAsaSportsmanD.HowtoBeaSuccessfulCInterestedInChildcare?Qualifiedpersonorpreschoolteacherneededforbusychildcarecenter,sout

32、hoftheriver.Full-timeworkguaranteed（保證）.Immediatestartnecessary.TheCandidate（候選人）mustbeabletoworkasaco-operative合作）teammember.Phone63452345foraninterviewandfaxresumeto63452345.WeNeedOfficeCleaners!ThreepeoplearerequiredforprofessionalcleaningintheCBDarea.Workinghoursfrom5:00pmonMondays,Wednesdays&am

33、p;Fridaysforeachone.Aboutfivehourspershift（輪班）.Agoodrecordisnecessary.Experiencepreferred.Phone63457843now.WantToWorkAsADentalNurse?ThisisanexcitingchanceforaqualifieddentalnursewithaconfidentandcheerfulpersonalitytoworkintheSchoolDentalHealthScheme.Youmustbeabletogetalongwellwithchildrenbecausework

34、involves涉及）talkingtogroupsaboutdentalhealthpractices.Forfurtherinformation,visitourwebsiteatschooldentalservicesgov.sg.Andfaxyourresumeto62344567.FloristWanted!Areyouacreativeandtrainedfloristwithatleasttwoyearsofexperience?Thenthismaybejustwhatyouareseeking.Thecity'sleadingFloristArtistStudione

35、edsanotherpart-timememberontheirweddingteam.Pleasephone60987888now!29. Thepositionofa(n)isapart-timejob.A.floristB.artistC.preschoolteacherD.dentalnurse30. Whichofthefollowingisthemostimportantforthechildcarejob?A.CookingskillsB.Theabilitytoworkwellwithotherpeople.C.ChildcareexperienceD.Theabilityto

36、startworkintwoweeks31. Anofficecleanerwillberequiredtoworkabouthoursaweek.A.5B.10C.45D.15DAgreatFrenchwritersaysthatweshouldhelpeveryoneasmuchaspossiblebecauseweoftenneedhelpourselves.Thesmallevencanhelpthegreat.Thenhetellsasimplestory.Anantisdrinkingatasmallstreamandfallsin.Shetriestoreachthesidebu

37、tmakesnoprogressatall.Thepoorant,almostexhausted,isstilldoingherbestwhenabirdseesher.Movedwithpitythebirdthrowsabladeofgrassintothewater.Itsupports(支撐)theantlikeaboat,andtheantreachesthebank.Whensheishavingarestinthegrass,sheseesamanwalkingalongbarefootedandcarryingaguninhishand.Hewantstokillthebird

38、nearby.Whenheraiseshisguntofire,theantbiteshiminthefoot.Sohestopstolookdownandthebirdfliesawayquickly.Itisananimalmuchweakerandsmallerthanherselfthathassavedherlife.32. AccordingtotheFrenchwriter,weoftenneedhelpfromothers,soweshouldA.nothelpothersB. helpthosewhomaybehelpfultousC. getasmuchhelpasweca

39、nD. helpothersasmuchaspossible33. TheantfinallygotonthebankA.whenthewaterpushedherB. withthehelpofapieceofwoodC. withthehelpofapieceofgrassD.whenthebirdreachedoutalegforit34. TheFrenchwritertellsthestoryinordertoshow.A.howanantsavedabirdB.howbravetheantwasC.howclevertheantwasD.eventhesmallcanhelpthe

40、great35. Thoughthepoorantwastootired,she.A.losthopeB.stoppedtryingC.stoppedtorestD.didn'tgiveup第二節：完形填空（共20小題；每小題2分，滿分40分）閱讀下面短文，從短文后各題所給的四個選項（A、B、C和D）中，選出可以填入空白處的最佳選項。WhenyouarelearningEnglish,youfind36wrongtotranslateasentencewordbywordintoyour37language.Takethesentence“Howdoyoudo?"asan38

41、.Ifyoulook39eachwordinthe40,oneatatime,whatisyour41?Itmustbea42sentenceinyournativelanguage.Languagesdonotonlyhavedifferentsounds,theyarealso43inmanyotherways.Itisvery44tomastertherulesofword45inthestudyofEnglish,too.Ift_46putswordsinaveryunusualorder,thelistenerdoesn't47thespeaker'ssentence

42、easily.Anotherthingwemustalways48isthattherearealotof49intheEnglishlanguage.50,whenwesay“lookout!"toamanwhoisindanger,we51mean“Becareful!"Whenpeopleareparting,theyoftensay“Goodbye"52“Byebye!"Butsometimesthey53say“Goodmorning!"or“Goodafternoon!"or“Goodevening!"or“Go

43、odnight!"tooneanother54“Goodbye!"Infact,fewpeople55knowthat“Goodbye!"isashortwayofsaying“Godbewithyou!"36.A.itB.thatC.youD.yourself37.A.secondB.spokenC.nativeD.foreign38.A.adviceB.exampleC.articleD.answer39.A.upB.atC.afterD.downupon40.A.sentenceB.bookC.phraseD.dictionary41.A.idea

44、B.meaningC.answerD.translation42.A.wrongB.interestingC.puzzledD.strangely43.A.sameB.differentC.similarD.alike44.A.importantB.easyC.simpleD.hard45.A.placeB.stressC.orderD.formation46.A.speakerB.listenerC.readerD.writer47.A.readB.repeatC.translateD.understand48.A.rememberB.sayC.doD.dealwith49.A.letter

45、B.wordsC.phrasesD.idioms(習語)50.A.SuchasB.ForexampleC.BecauseofD.Accordingto51.A.hardlyB.nearlyC.reallyD.clearly52.A.andB.orC.insteadD.aswell53.A.don'tB.mustC.shouldD.may54.A.withoutB.insteadofC.unlessD.morethan55.A.todayB.tomorrowC.infutureD.inthepast第II卷第三部分：語法填空（共10小題；每小題1.5分，滿分15分）閱讀下面材料，在空白處

46、填入適當的內容(不多于3個單詞)或括號內單詞的正確形式。WhenIwas14,Idecidedtomakesomepocketmoneyby56(help)Mr.Millercutthegrassinhisgarden.Iworkedhardbecausethatwasmyfirstpart-timejob57isimportanttome.Afterworkingforoneweek,Mr.Millersaidthathehadnomoneyforme.Thatsurprisedme58(great).Iarguedwithhim,andthenIwentbackhomeinanger.My

47、parentstoldmenottobeangry59Mr.Millerbecause60wasindifficulties.ThenmymothercalledupMr.Millerandtheytalkedaboutsomethingon61phone.Afewdayslater,mymotheraskedmetoreturntoMr.Miller'sgardenbecausehewastooweak62(look)afterit.WhenIcameback,Mr.Millersaid,“Sorry,I'venomoney,63Icandosomethingforyou.”

48、HeplayedaCDforme.Hearingthebeautifulmusic,IwassointerestedinitthatI64(forget)themoneyanddidtheworkwithpleasure.Atlast,Mr.Millergavemeatickettoaconcert.Afterthat,Ibecameveryfondofmusic.NowI'moneofthemostpopular65(sing)inourcountry.IcanneverthankMr.Millertoomuch.高二考試英語答題卡說明：155題的答案涂在機讀卡上，其余的答案寫在本卡

49、上。語法填空：（共10小題；每小題1.5分，滿分15分）56575859606162636465第四部分：寫作（共兩節，滿分35分）第一節：短文改錯（共10小題；每小題1分，滿分10分）假定英語課上老師要求同桌之間交換修改作文，請你修改你同桌寫的以下作文。文中共有10處語言錯誤，每句中最多有兩處。每處錯誤僅涉及一個單詞的增加、刪除或修改。增加：在缺詞處加一個漏字符號（人），并在其下面寫出該加的詞。刪除：把多余的詞用斜線（）劃掉。修改：在錯的詞下畫一橫線，并在該詞下面寫出修改后的詞。注意：1.每處錯誤及其修改均僅限一詞；2.只允許修改10處，多者（從第11處起）不計分。WhyhasEnglish

50、changedovertime?Actualalllanguageschangeanddevelopwhenculturesmeetandmunicatewitheachother.AtfirsttheEnglishspeakinginEnglandbetweenaboutAD450and1150wasverydifferentfromtheEnglishspokentoday.ItwasbasedmoreinGermanthantheEnglishwespeakatpresent.ThengraduallybetweenaboutAD800and1150,Englishbecamelessl

51、ikeGermanbecausethosewhowasruledEnglandspokefirstDanishandlaterFrench.ThesenewsettlerenrichedtheEnglishlanguageandespeciallytheirvocabulary.Sobythe160'0sShakespearewasabletomakeuseofawidevocabularythaneverbefore.In1620someBritishsettlersmovetoAmerica.Laterin18thcenturysomeBritishpeoplewastakentoAustraliatoo.四、書面表達（25分）假設你是李華，你