高一寒假作業(yè)(三)

青島五十八中寒假書(shū)面作業(yè)

高一數(shù)學(xué)（三）

命題人審核人班級(jí)姓名家長(zhǎng)簽字批閱記錄宋仁虎高一數(shù)學(xué)全體教師一、選擇題：本大題共12小題，每小題5分，共60分。在每小題給出的四個(gè)選項(xiàng)中，只有一項(xiàng)是符合題目要求的。1、用二分法求方程x220的近似根的算法中要用哪種算法結(jié)構(gòu)（）A．順序結(jié)構(gòu)B．條件結(jié)構(gòu)C．循環(huán)結(jié)構(gòu)D．以上都用2、計(jì)算機(jī)執(zhí)行下面的程序段后，輸出的結(jié)果是（）a1b3aabbab

A．1,3PRINTB．a(chǎn)4,1，bC

．0,0D．6,0

3．要從已編號(hào)（160）的60枚最新研制的某型導(dǎo)彈中隨機(jī)抽取6枚來(lái)進(jìn)行發(fā)射試驗(yàn)，用每部分選取的號(hào)碼間隔一樣的系統(tǒng)抽樣方法確定所選取的6枚導(dǎo)彈的編號(hào)可能是（）A．5,10,15,20,25,30B．3,13,23,33,43,53C．1,2,3,4,5,6D．2,4,8,16,32,484．容量為100的樣本數(shù)據(jù)，按從小到大的順序分為8組，如下表：

組號(hào)12345678頻數(shù)1013x141513129第三組的頻數(shù)和頻率分別是()A．14和0.14B．0.14和14C．

11114和0.14D．3和145．在一次歌手大獎(jiǎng)賽上，七位評(píng)委為歌手打出的分?jǐn)?shù)如下：9.48.49.49.99.69.4

9.7去掉一個(gè)最高分和一個(gè)最低分后,所剩數(shù)據(jù)的平均值和方差分別為()

A．9.4,0.484B．9.4,0.016C．9.5,0.04D．9.5,0.016

6．從裝有2個(gè)紅球和2個(gè)球的口袋內(nèi)任取2個(gè)球，那么互斥而不對(duì)立的兩個(gè)事件是（）A．至少有一個(gè)球與都是紅球B．至少有一個(gè)球與都是球C．至少有一個(gè)球與至少有1個(gè)紅球D．恰有1個(gè)球與恰有2個(gè)球

7．從三件正品、一件次品中隨機(jī)取出兩件，則取出的產(chǎn)品全是正品的概率是（）A．

14B．112C．8D．無(wú)法確定8．有五條線段長(zhǎng)度分別為1,3,5,7,9，從這5條線段中任取3條，則所取3條線段能構(gòu)成一個(gè)三角形的概率為（）

A．

110B．31710C．2D．109．在40根纖維中，有12根的長(zhǎng)度超過(guò)30mm，從中任取一根，取到長(zhǎng)度超過(guò)30mm的纖維的

概率是（）A．

3040B．31210C．30D．以上都不對(duì)

10．先后拋擲骰子三次，則至少一次正面朝上的概率是（）A．

18B．38C．58D．7811．從一批羽毛球產(chǎn)品中任取一個(gè)，其質(zhì)量小于4.8g的概率為0.3，質(zhì)量小于4.85g的概率為

0.32，那么質(zhì)量在4.8,4.85（g）范圍內(nèi)的概率是（）A．

0.62B．0.38C．0.02D．0.6812.10名工人某天生產(chǎn)同一零件，生產(chǎn)的件數(shù)分別是15，17，14，10，15，17，17，16，14，12．設(shè)其平均數(shù)為a，中位數(shù)為b，眾數(shù)為c，則有A．a(chǎn)>b>cB．b>c>aC.c>a>b

D．c>b>a

二、填空：本大題共4小題，每小題4分，共16分，把答案填在題中的橫線上.

13．圖中所示的是一個(gè)算法的流程圖，已知a13，輸出的b7,則a2的值是____________。

14．有一個(gè)簡(jiǎn)單的隨機(jī)樣本：10，12，9，14，15則樣本平均數(shù)x=______,本樣方差

S2=______.。

15．某單位有老年人28人，中年人54人，青年人81人，為調(diào)查身體健康狀況，需要從中抽取一個(gè)容量為36的樣本，用分層抽樣方法應(yīng)分別從老年人、中年人、青年人中各抽取_________人、人、人。

16．甲，乙兩人在相同條件下練習(xí)射擊，每人打5發(fā)子彈，命中環(huán)數(shù)如下

甲68998乙107779則兩人射擊成績(jī)的穩(wěn)定程度是__________________。

三、解答題：（解答應(yīng)寫(xiě)出文字說(shuō)明．證明過(guò)程或演算步驟(本大題共6個(gè)大題，共74分).17．某校高中部有三個(gè)年級(jí)，其中高三有學(xué)生1000人，現(xiàn)采用分層抽樣法抽取一個(gè)容量為185的樣本，已知在高一年級(jí)抽取了75人，高二年級(jí)抽取了60人，則高中部共有多少學(xué)生？

頻率組距18．已知200輛汽車(chē)通過(guò)某一段公路時(shí)的時(shí)速的頻率

0.040.03分布直方圖如右圖所示，求時(shí)速在[60,70]的汽車(chē)

0.020.01大約有多少輛？4050607080時(shí)速（km）

19．從甲、乙、丙、丁四個(gè)人中選兩名代表，求：（１）甲被選中的概率（２）丁沒(méi)被選中的概率

20．現(xiàn)有一批產(chǎn)品共有10件，其中8件為正品，2件為次品：

（1）如果從中取出一件，然后放回，再取一件，求連續(xù)3次取出的都是正品的概率；（2）如果從中一次取3件，求3件都是正品的概率．

21．從4名男生和2名女生中任選3人參加演講比賽,

①求所選3人都是男生的概率;②求所選3人恰有1名女生的概率;③求所選3人中至少有1名女生的概率。

22、已知關(guān)于x的一元二次方程x22axb20。

（1）若a是從-4，-3，-2，-1中任取的一個(gè)數(shù)，b是從1,2,3中任取的一個(gè)數(shù)，

求上述方程有實(shí)根的概率；（2）若a是從區(qū)間[4,1]中任取的一個(gè)數(shù)，b是從區(qū)間[1,3]中任取的一個(gè)數(shù)，

求上述方程有實(shí)根的概率。

高一數(shù)學(xué)（三）參考答案：一、選擇題：

1、D任何一個(gè)算法都有順序結(jié)構(gòu)，循環(huán)結(jié)構(gòu)一定包含條件結(jié)構(gòu)，二分法用到循環(huán)結(jié)構(gòu)2、B3.B4.A5.D，6.D7.B

8.B能構(gòu)成三角形的邊長(zhǎng)為(3,5,7),(3,7,9),(5,7,9),三種，

9.B在40根纖維中，有12根的長(zhǎng)度超過(guò)30mm，即基本事件總數(shù)為40，且它們是等可能發(fā)

生的，所求事件包含12個(gè)基本事件，故所求事件的概率為124010.D至少一次正面朝上的對(duì)立事件的概率為1117238,188

11.C0.320.30.0212.D

二、填空題：13、11，

14．x12,s25.2

15．6，12，18總?cè)藬?shù)為285481163，28361636，543616312，813616318，16．甲比乙穩(wěn)定x甲8,x乙8,而s2甲1.2,s2乙1.6,s2甲s2乙,甲穩(wěn)定性強(qiáng)三、解答題：

17.解：從高三年級(jí)抽取的學(xué)生人數(shù)為185(7560)50

而抽取的比例為501100020，高中部共有的學(xué)生為185120370018.解：在[60,70]的汽車(chē)的頻率為0.04100.4，在[60,70]的汽車(chē)有201*.48019.解：（1）記甲被選中為事件A，則P(A)3612

（2）記丁被選中為事件B，則P(B)1P(B)1121220.解：（1）有放回地抽取3次，按抽取順序(x,y,z)記錄結(jié)果，則x,y,z都有10種可能，所以

試驗(yàn)結(jié)果有101010103種；設(shè)事件A為“連續(xù)3次都取正品”，則包含的基本事件共有

88883種，因此，P(A)831030.512（2）可以看作不放回抽樣3次，順序不同，基本事

件不同，按抽取順序記錄(x,y,z)，則x有10種可能，y有9種可能，z有8種可能，所以試驗(yàn)的所有結(jié)果為1098720種．設(shè)事件B為“3件都是正品”，則事件B包含的基本事件總數(shù)為876,所以P(B)33672021.解：記男生為a,b,c,d,女生為1，2，基本事件為：

（a,b,c）(a,b,d)(a,b,1)(a,b,2)(a,c,d)（a,c,1）(a,c,2)(a,d,1)（a,d,2）(a,1,2)(b,c,d)(b,c,1)(b,c,2)（b,d,1）(b,d,2)(b,1,2)(c,d,1)(c,d,2)(c,1,2)(d,1,2)共20個(gè)①所選3人都是男生的事件數(shù)為4,P4201*②所選3人恰有1女生的事件數(shù)為12,P122035③所選3人恰有2女生的事件數(shù)為4,P41314205所選3人中至少有1名女生的概率為55522.解：（1）基本事件總數(shù)為4312，設(shè)方程有實(shí)根為事件A則A包含：

4a24b20a2b2ab又a0,b0ab

當(dāng)a4時(shí)，b1,2,3a2時(shí)，b1,2當(dāng)a3時(shí)，b1,2,3，當(dāng)

當(dāng)當(dāng)a1時(shí)，b1共計(jì)9種，p(A)912（2）設(shè)方程有實(shí)根為事件B則(a,b)|4a1,1b3

B(a,b)|4a1,1b3,ab在坐標(biāo)系中畫(huà)出，B表示的區(qū)域（本處略）

p(B)sBs2

擴(kuò)展閱讀：高一上英語(yǔ)寒假作業(yè)(3)

高一上學(xué)期英語(yǔ)寒假作業(yè)Unit1

命題人：朱夏櫻

I.語(yǔ)法詞匯

1.They’vesoldmanycomputersofthiskindandtherest___onsaletoday.

A.is

B.are

C.has

D.have

2.Hewasnotwillingtogiveupsmokingatfirst,butshe___persuadehimlater.

A.wasabletoB.couldC.mightD.will3.Nowhedoesn’tregret___objectionsatthemeeting,thoughnobodylistenedtohim.A.toraiseB.toberaising4.Tosucceedinadifficulttask,___.

C.tohaveraised

D.havingraised

A.oneneedstoworkhardC.youneedbeahard-workingpersonB.toworkhardisneeded

D.toworkhardiswhatoneneeds

D.or

5.Getupearlier,___you’llbelateforschool.

A.andB.butC.as

6.Seeingthatmostofthebookshavebeentakenaway,hehadtohaveallthe___ones.A.remainedB.remainC.remainingD.remains7.Hewastakingabath___theTVplaybegan.

A.when

B.while

C.before

D.until

8.___manytimes,butthechildstillcouldn’tunderstandthemeaningofthisword.A.HavingbeentoldB.ThoughhehadbeentoldC.HehadbeentoldD.Hehasbeentold

9.Thegirl___overthere___inredishisdaughter,whohasjustreturnedfromJapan.

A.sat,dressedB.sat,dressingC.sitting,dressingD.sitting,dressed10.Itwasinthebookstore___Imetyourbrothertheotherday.A.whereB.sinceC.inwhich

D.that

11.Jackissenior___mebytwoyears.A.inB.thanC.toD.of

12.Animportantdecisionaswellasthechangesingovernmentpolicy___likelyto___a

company’sfuture.A.is,effectB.are,affect

C.is,affect

D.are,haveeffecton

13.The___lady___theyoungmanwalkingby,andsuddenly,sherecognizeditwastheyoungmanwhohadeverstolenherpurseoneyearago.

A.white-haired,glancedatC.whitehairs,staredat

B.white-hair,lookedatD.whitehair,glaredat

14.Stockpriceshaveclimbed___tothepeaksincethestockmarketcashedin1998.

A.closelyB.nearC.nearbyD.close

15.Acapableteachershouldtryeverymeansto___thestudents’interestatahighlevelinclass.

A.protectA.example

II.選詞填空

1

B.saveB.mark

C.maintainC.signal

D.buildupD.symbol

16.Inancienttimes,thetroopsusedthreepilesoffireasa___ofwar.A.contactB.includeC.announcedD.publicE.especiallyF.growingG.leaderH.rangeI.availableJ.separatelyKnowledgeisfreeontheInternetatasmallbut_17__numberofcollegesanduniversities.About160schoolsaroundtheworldnowputfreecoursematerialsonthewebtothe_18_.RecentadditionsintheUnitedStates_19__projectsatYale,JohnsHopkinsandtheUniversityofCalifornia,Berkeley.

BerkeleysaiditwouldoffervideosoflecturesonYouTube.Freevideosfromotherschoolsare_20_attheAppleiTunesstore.TheMassachusettsInstituteofTechnology(M.I.T.)becameanearly_21_withitsOpenCourseWareproject,first_22_in201*.Freelecturenotes,examsandotherresourcesarepublishedatocw.mit.edu.Manyexamsevenincludetheanswers.

Today,OpenCourseWareoffersmaterialsfrom1,800undergraduateandgraduatecourses.These_23_fromphysicstopoliticalscience.VisitorscanlearnthesamethingsthatM.I.T.studentslearn.Butasthesitepointsout,OpenCourseWareisnotaM.I.T.education.Visitorsreceivenocredittowardadegree.Somematerialsfromacoursemaynotbeavailable,andthesitedoesnotprovide_24_withteachers.Still,M.I.T.saysthatthesitehashadfortymillionvisitsbythirty-onemillionvisitorsfromalmosteverycountry.SixtypercentofthevisitorsarefromoutsidetheUnitedStatesandCanada.Studentsandeducatorsusethesite,includingstudentsatM.I.T.Butthelargestnumberofvisitors,abouthalf,areself-learners.

Someprofessorshavebecomewell-knownaroundtheworldasaresultofappearingonline.WalterLewin,aphysicsprofessoratM.I.T.,is_25_popular.Fansenjoyhisentertaininglectures.

M.I.T.OpenCourseWarenowincludesmaterialsforhighschool.Theaimistoimproveeducationinscience,technology,mathsandengineering.

III.完型填空

Goodnutritionandabalanceddietwillhelpyourchildgrowuphealthy.Whetheryourkidisatoddler(學(xué)步的孩子)orateen,youcantakestepstoimprovenutritionandencouragesmart_26_habits.Thereareseveralways,oneofwhichistohave_27_familymeals.Familymealsareacomfortingoccasionforboth_28_andkids.Kidswhotakepartinregularfamilymealsarealso_29_likelytoeatfruits,vegetablesandgrains,andlesslikelytosnackon_30_foods,smokeordrinkalcohol.

_31_,familymealsofferthechancetointroduceyourchildtonewfoodsand_32_whichfoodsyourchildlikesandwhichonesheorshedoesn’t.

Teensmay_33_theirnosesatfamilymeals－not_34_becausethey’retryingtobecomeindependent.Yetstudiesfindthatteensstillwanttheirparents’advice,sousethemealtimeasa_35_toreconnect.Also,considertryingtheseways:

Allowyourteentoinviteafriendtodinner.Involveyourteeninmeal_36__andpreparation.Keepyourmealtimecalmandpleasant－nolecturesor_37_.

What’simportantasafamilymeal?Anytimeyourfamilyeattogetherwhetherit’stakeoutfoodorahome-cookedmeal.Tryto_38__fornutritiousfoodandatimewheneveryonecanbethere.Thismaymeaneatingdinneralittle_39_towaitforachildwho’satsportspractice.Itcanalsomeansettingasidetimeonthe_40__,suchasSundaybrunch(早午餐),whenitmaybemore

convenienttogatherasagroup.26.27.28.29.

A.learningA.commonA.friendsA.still

B.eatingB.usualB.classmatesB.notB.dear

B.InadditionB.bringinB.putdownB.gameB.burningB.arguingB.buy

C.sleepingC.regularC.relativesC.moreC.variousC.InrealityC.pickoutC.clearupC.surprisingC.chanceC.improvingC.smokingC.shareC.slowerC.weekends

D.behavingD.normalD.parentsD.lessD.unhealthyD.GenerallyspeakingD.makeupD.doupD.challengingD.taskD.eatingD.delayingD.striveD.fasterD.weekdays

30.A.cheap

31.A.Asaresult32.A.findout33.A.turnup35.A.meeting36.A.planning37.A.drinking38.A.order39.A.earlier40.A.holidays

IV.閱讀理解

34.A.outstandingB.interesting

B.laterB.occasions

(A)

PolianacamefromBraziltotheU.S.foracademicreasons.ShewantedtoimproveherEnglish,becauseitcouldhelphergetabetterjob,maybeevenajobteachingEnglishsomeday.She’sinterestedintravelingandstudyingdifferentcultures.ShesaidthatBrazilianstrytocopyNorthAmericancustoms,soshewasinterestedinunderstandingwhy.

BeforecomingtotheU.S.,PolianahadacertainimageofNorthAmericans.ShegotherimageofNorthAmericansfromwatchingNorthAmericanTVandmoviesinBrazil.ShesawseveralHollywoodmoviesabouthighschoolsintheU.S.,andsheimaginedhighschoolcouldbealotoffun.Highschoolstudentsseemedtohavealotoffreedom.Sheimaginedtheyparticipatedinalotoffunactivitiesbothinsideandoutsideofschool.However,shenowthinksthatBrazilianstudentshavemorefunandfreedominschool.

Polianasometimesfeelsdisappointedbecauseoutsideofschooltherearefewplacesforyoungpeopletomeettheirfriendsandtalk.InBrazil,youngpeopleoftengettogetheratpartiesoratashoppingmall.

Inaddition,PolianathinksmostNorthAmericanstudentspretendtolikeher,becauseshecomesfromaforeigncountry,butactuallydon’tmakeanefforttogettoknowherwell.ShealsofeelsNorthAmericanstudentsoftendiscriminateagainstotherstudentswhodon’thavefashionableclothesandhairstyles.Inheropinion,NorthAmericansaren’topentodifferentculturesandcustoms.41.WhydidPolianacometotheU.S?

A.Becauseshewasinterestedintravelingandstudyingdifferentcultures.B.BecauseshecouldfindabetterjobintheU.S.C.Becauseshewantedtomakehermajorbetter.D.BecauseshehopedtoteachEnglishintheU.S.

42.WhenPolianagottotheU.S,shefoundhighschoolstudentsthere_____.

A.hadalotoffunandfreedom

B.sawseveralHollywoodmoviesoutsideofschool

C.participatedinalotoffunactivitiesinsideandoutsideofschoolD.hadlessfunandfreedom

43.WhichofthefollowingiscorrectaboutwhatPolianasawandfeltintheU.S?

A.ItseemedthatmostAmericanstudentslikedher.B.Polianafrequentlyfeelsdisappointed.

C.YoungpeopleinAmericaoftengettogetheratpartiesoratashoppingmall.D.NorthAmericansarewillingtoacceptdifferentculturesandcustoms.

44.Theunderlinedphrase“discriminateagainst”inthelastparagraphmaybereplacedby_____.

A.fightagainstB.lookdownupon

C.taketo

(B)A.AcarefulanalysisbiologicallyB.Whatisglobalwarming?C.SolutiontotheterrifyingresultD.GreaterdangerofextinctionE.Manyshockingthingswerefound.F.Ashockingreport45._____

Theearthisgettingwarmer.Peopleburncoal,oilandgasandthisproducescarbondioxide,methaneandnitrousoxide.Thesegases,called“greenhousegases”,preventtheheatofthesunfromleavingtheearth’supperatmosphereandthismakestheearthwarmer.46._____

Afewweeksagoagroupofscientistsproducedareportaboutglobalwarmingandthenaturalworld.Theywantedtofindoutifglobalwarmingwasdangerousforplantsandanimals.Accordingtowhattheyfound,thescientistssaythatduringthenext50yearsabout25%oflandanimalsandplantswillbecomeextinct.Morethanamillionplantandanimalspecieswillbeextinctby2050.47._____

Morethan10%ofallplantsandanimalswillbecomeextinct.Itistoolatetosavemanyplantsandanimalsbecauseofthegreenhousegasesthatarealreadyintheatmosphere.Butthescientistssayifwecontrolgreenhousegasesnow,wecouldsavemanymoreplantsandanimalsfromextinction.

48._____

Thescientistsstudiedsomeregionsoftheworldwithaveryrichbiology.TheseregionswereEurope,Australia,CentralandSouthAmerica,andSouthAfrica.Theirstudiesshowedthatspecieslivinginmountainousareashadabetterchanceofsurvivalbecausetheycouldmoveuphill,togetcooler.Inflatareas,suchasdeserts,plantsandanimalswouldhavetomoveaverylongdistancetogetcooler,sotheyareingreaterdangerofextinction.49._____

Thescientistsfoundthathalfofthe24speciesofbutterfliestheystudiedinAustraliawouldsoonbecomeextinct.60%ofthespeciesintheKrugerNationalParkinSouthAfricawouldalsodieout,andmorethan100%ofthe300SouthAfricaplantspeciestheystudiedwouldalsobecomeextinct.OneoftheplantsindangerofextinctionisthenationalflowerofSouthAfrica,theKingProtea.Theystudied163treespeciesintheCerradoregionofBrazilandfoundthat70wouldbecome

4

D.distinguishextinct.Manyoftheplantsandtreesthatliveinthisregionlivenowhereelseintheworld.InMexico,theystudied1,870speciesandfoundthatmorethan30%ofthesewereindangerofextinction.

V.動(dòng)詞填空

50.Hewillwaitatthebusstopuntilhisbrother_______________(come)back.51.I_______________(go)alonesinceyoudon’twanttoseethefilm.

52.TomthoughtthatI_______________(do)theexercise,soIknewtheanswertotheexercise.53.Don’tinterrupthimwhenhe_______________(lie)inbed.

54.ThepeopleofShanghai_______________(build)thefourhugebridgesacrosstheHuangpuRiverinthepastfiveyears.

55.Iamsurethatshe’llcometoseemebefore_______________(leave).

56.Itoldhim_______________(notopen)thewindowsbecauseitwasrainingheavily.57.I’mafraidthebookyouarelookingfor_______________(lend)yesterdayafternoon.58.Nowletmehearyou_______________(sing).

59.AsBob’scar_______________(repair)inthegaragenow,hewillhavetogotoworkby

underground.

VI.中譯英

60.當(dāng)他向身處困境的人們伸出援助之手時(shí)毫不猶豫。（hesitate）

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61.看到顧客喜歡Debbie甚于自己，Simon嘆了口氣。（prefer）

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62.如果你想與別人交朋友，注意交際的方式很重要。（theway）

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63.Jack不僅僅是我的老師，他經(jīng)常在生活上幫助我。（morethan）

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64.那位教授的幽默感和很強(qiáng)的記憶力給在場(chǎng)的每個(gè)人留下了深刻的印象。（impression）

___________________________________________________________________________

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參考答案

I.語(yǔ)法詞匯1-5BADAD6-10CACDD11-16CCADCCII.選詞填空

17.F18.D19.B20.I21.G22.C23.H24.A25.EIII.完型填空26-30BCDCDIV.閱讀理解41-44CDABV.動(dòng)詞填空50.comes55.leaving

51.willgo56.nottoopen

52.haddone57.waslent

53.islying58.sing

54.havebuilt

59.isbeingrepaired

31-35BAACC45-49BFCAE

36-40ABDBC

VI.中譯英

60.Hedoesn’thesitatetogiveahelpinghandtothoseintrouble.

61.SimonsighedwhenhesawthatthecustomerspreferredDebbietohim.

62.Ifyouwanttomakefriendswithothers,itisimportanttopayattentiontothewayyoucommunicate.

63.Jackismorethanmyteacher.Heoftenhelpsmeinlife.

64.Theprofession’ssenseofhumorandstrongmemorymadeadeepimpressiononeveryone

present.

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