高一寒假作業(yè)(三)

青島五十八中寒假書面作業(yè)

高一數(shù)學(xué)（三）

命題人審核人班級姓名家長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選項中，只有一項是符合題目要求的。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、計算機執(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（160）的60枚最新研制的某型導(dǎo)彈中隨機抽取6枚來進行發(fā)射試驗，用每部分選取的號碼間隔一樣的系統(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．在一次歌手大獎賽上，七位評委為歌手打出的分?jǐn)?shù)如下：9.48.49.49.99.69.4

9.7去掉一個最高分和一個最低分后,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個紅球和2個球的口袋內(nèi)任取2個球，那么互斥而不對立的兩個事件是（）A．至少有一個球與都是紅球B．至少有一個球與都是球C．至少有一個球與至少有1個紅球D．恰有1個球與恰有2個球

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

14B．112C．8D．無法確定8．有五條線段長度分別為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)成一個三角形的概率為（）

A．

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

概率是（）A．

3040B．31210C．30D．以上都不對

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

14．有一個簡單的隨機樣本：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則兩人射擊成績的穩(wěn)定程度是__________________。

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

頻率組距18．已知200輛汽車通過某一段公路時的時速的頻率

0.040.03分布直方圖如右圖所示，求時速在[60,70]的汽車

0.020.01大約有多少輛？4050607080時速（km）

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

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中任取的一個數(shù)，b是從1,2,3中任取的一個數(shù)，

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

求上述方程有實根的概率。

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根的長度超過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)定性強三、解答題：

17.解：從高三年級抽取的學(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]的汽車的頻率為0.04100.4，在[60,70]的汽車有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)方程有實根為事件A則A包含：

4a24b20a2b2ab又a0,b0ab

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

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

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

p(B)sBs2

擴展閱讀：高一上英語寒假作業(yè)(3)

高一上學(xué)期英語寒假作業(yè)Unit1

命題人：朱夏櫻

I.語法詞匯

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毫不猶豫。（hesitate）

___________________________________________________________________________

___________________________________________________________________________

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

___________________________________________________________________________

___________________________________________________________________________

62.如果你想與別人交朋友，注意交際的方式很重要。（theway）

___________________________________________________________________________

___________________________________________________________________________

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

___________________________________________________________________________

___________________________________________________________________________

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

___________________________________________________________________________

___________________________________________________________________________

參考答案

I.語法詞匯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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