高一寒假作业(三)

高一寒假作业(三)

青岛五十八中寒假书面作业

高一数学（三）

命题人审核人班级姓名家长签字批阅记录宋仁虎高一数学全体教师一、选择题：本大题共12小题，每小题5分，共60分。在每小题给出的四个选项中，只有一项是符合题目要求的。1、用二分法求方程x220的近似根的算法中要用哪种算法结构（）A．顺序结构B．条件结构C．循环结构D．以上都用2、计算机执行下面的程序段后，输出的结果是（）a1b3aabbab

A．1,3PRINTB．a4,1，bC

．0,0D．6,0

3．要从已编号（160）的60枚最新研制的某型导弹中随机抽取6枚来进行发射试验，用每部分选取的号码间隔一样的系统抽样方法确定所选取的6枚导弹的编号可能是（）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．容量为100的样本数据，按从小到大的顺序分为8组，如下表：

组号12345678频数1013x141513129第三组的频数和频率分别是()A．14和0.14B．0.14和14C．

11114和0.14D．3和145．在一次歌手大奖赛上，七位评委为歌手打出的分数如下：9.48.49.49.99.69.4

9.7去掉一个最高分和一个最低分后,所剩数据的平均值和方差分别为()

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

6．从装有2个红球和2个球的口袋内任取2个球，那么互斥而不对立的两个事件是（）A．至少有一个球与都是红球B．至少有一个球与都是球C．至少有一个球与至少有1个红球D．恰有1个球与恰有2个球

7．从三件正品、一件次品中随机取出两件，则取出的产品全是正品的概率是（）A．

14B．112C．8D．无法确定8．有五条线段长度分别为1,3,5,7,9，从这5条线段中任取3条，则所取3条线段能构成一个三角形的概率为（）

A．

110B．31710C．2D．109．在40根纤维中，有12根的长度超过30mm，从中任取一根，取到长度超过30mm的纤维的

概率是（）A．

3040B．31210C．30D．以上都不对

10．先后抛掷骰子三次，则至少一次正面朝上的概率是（）A．

18B．38C．58D．7811．从一批羽毛球产品中任取一个，其质量小于4.8g的概率为0.3，质量小于4.85g的概率为

0.32，那么质量在4.8,4.85（g）范围内的概率是（）A．

0.62B．0.38C．0.02D．0.6812.10名工人某天生产同一零件，生产的件数分别是15，17，14，10，15，17，17，16，14，12．设其平均数为a，中位数为b，众数为c，则有A．a>b>cB．b>c>aC.c>a>b

D．c>b>a

二、填空：本大题共4小题，每小题4分，共16分，把答案填在题中的横线上.

13．图中所示的是一个算法的流程图，已知a13，输出的b7,则a2的值是____________。

14．有一个简单的随机样本：10，12，9，14，15则样本平均数x=______,本样方差

S2=______.。

15．某单位有老年人28人，中年人54人，青年人81人，为调查身体健康状况，需要从中抽取一个容量为36的样本，用分层抽样方法应分别从老年人、中年人、青年人中各抽取_________人、人、人。

16．甲，乙两人在相同条件下练习射击，每人打5发子弹，命中环数如下

甲68998乙107779则两人射击成绩的稳定程度是__________________。

三、解答题：（解答应写出文字说明．证明过程或演算步骤(本大题共6个大题，共74分).17．某校高中部有三个年级，其中高三有学生1000人，现采用分层抽样法抽取一个容量为185的样本，已知在高一年级抽取了75人，高二年级抽取了60人，则高中部共有多少学生？

频率组距18．已知200辆汽车通过某一段公路时的时速的频率

0.040.03分布直方图如右图所示，求时速在[60,70]的汽车

0.020.01大约有多少辆？4050607080时速（km）

19．从甲、乙、丙、丁四个人中选两名代表，求：（１）甲被选中的概率（２）丁没被选中的概率

20．现有一批产品共有10件，其中8件为正品，2件为次品：

（1）如果从中取出一件，然后放回，再取一件，求连续3次取出的都是正品的概率；（2）如果从中一次取3件，求3件都是正品的概率．

21．从4名男生和2名女生中任选3人参加演讲比赛,

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

22、已知关于x的一元二次方程x22axb20。

（1）若a是从-4，-3，-2，-1中任取的一个数，b是从1,2,3中任取的一个数，

求上述方程有实根的概率；（2）若a是从区间[4,1]中任取的一个数，b是从区间[1,3]中任取的一个数，

求上述方程有实根的概率。

高一数学（三）参考答案：一、选择题：

1、D任何一个算法都有顺序结构，循环结构一定包含条件结构，二分法用到循环结构2、B3.B4.A5.D，6.D7.B

8.B能构成三角形的边长为(3,5,7),(3,7,9),(5,7,9),三种，

9.B在40根纤维中，有12根的长度超过30mm，即基本事件总数为40，且它们是等可能发

生的，所求事件包含12个基本事件，故所求事件的概率为124010.D至少一次正面朝上的对立事件的概率为1117238,188

11.C0.320.30.0212.D

二、填空题：13、11，

14．x12,s25.2

15．6，12，18总人数为285481163，28361636，543616312，813616318，16．甲比乙稳定x甲8,x乙8,而s2甲1.2,s2乙1.6,s2甲s2乙,甲稳定性强三、解答题：

17.解：从高三年级抽取的学生人数为185(7560)50

而抽取的比例为501100020，高中部共有的学生为185120370018.解：在[60,70]的汽车的频率为0.04100.4，在[60,70]的汽车有201*.48019.解：（1）记甲被选中为事件A，则P(A)3612

（2）记丁被选中为事件B，则P(B)1P(B)1121220.解：（1）有放回地抽取3次，按抽取顺序(x,y,z)记录结果，则x,y,z都有10种可能，所以

试验结果有101010103种；设事件A为“连续3次都取正品”，则包含的基本事件共有

88883种，因此，P(A)831030.512（2）可以看作不放回抽样3次，顺序不同，基本事

件不同，按抽取顺序记录(x,y,z)，则x有10种可能，y有9种可能，z有8种可能，所以试验的所有结果为1098720种．设事件B为“3件都是正品”，则事件B包含的基本事件总数为876,所以P(B)33672021.解：记男生为a,b,c,d,女生为1，2，基本事件为：

（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个①所选3人都是男生的事件数为4,P4201*②所选3人恰有1女生的事件数为12,P122035③所选3人恰有2女生的事件数为4,P41314205所选3人中至少有1名女生的概率为55522.解：（1）基本事件总数为4312，设方程有实根为事件A则A包含：

4a24b20a2b2ab又a0,b0ab

当a4时，b1,2,3a2时，b1,2当a3时，b1,2,3，当

当当a1时，b1共计9种，p(A)912（2）设方程有实根为事件B则(a,b)|4a1,1b3

B(a,b)|4a1,1b3,ab在坐标系中画出，B表示的区域（本处略）

p(B)sBs2

扩展阅读：高一上英语寒假作业(3)

高一上学期英语寒假作业Unit1

命题人：朱夏樱

I.语法词汇

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.选词填空

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(学步的孩子)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.阅读理解

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.动词填空

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.中译英

60.当他向身处困境的人们伸出援助之手时毫不犹豫。（hesitate）

___________________________________________________________________________

___________________________________________________________________________

61.看到顾客喜欢Debbie甚于自己，Simon叹了口气。（prefer）

___________________________________________________________________________

___________________________________________________________________________

62.如果你想与别人交朋友，注意交际的方式很重要。（theway）

___________________________________________________________________________

___________________________________________________________________________

63.Jack不仅仅是我的老师，他经常在生活上帮助我。（morethan）

___________________________________________________________________________

___________________________________________________________________________

64.那位教授的幽默感和很强的记忆力给在场的每个人留下了深刻的印象。（impression）

___________________________________________________________________________

___________________________________________________________________________

参考答案

I.语法词汇1-5BADAD6-10CACDD11-16CCADCCII.选词填空

17.F18.D19.B20.I21.G22.C23.H24.A25.EIII.完型填空26-30BCDCDIV.阅读理解41-44CDABV.动词填空50.comes55.leaving

51.willgo56.nottoopen

52.haddone57.waslent

53.islying58.sing

54.havebuilt

59.isbeingrepaired

31-35BAACC45-49BFCAE

36-40ABDBC

VI.中译英

60.Hedoesn’thesitatetogiveahelpinghandtothoseintrouble.

61.SimonsighedwhenhesawthatthecustomerspreferredDebbietohim.

62.Ifyouwanttomakefriendswithothers,itisimportanttopayattentiontothewayyoucommunicate.

63.Jackismorethanmyteacher.Heoftenhelpsmeinlife.

64.Theprofession’ssenseofhumorandstrongmemorymadeadeepimpressiononeveryone

present.

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