2021华附AP全真模拟题

华附AP全真模拟题

Part1Math-60minutes

一、填空题（共5小题，每题3分，总分15分）

1.（3分）

如图，CE是口ABCD的边AB的垂直平分线，垂足为点O,CE与DA的延长线交于点E.连

接AC,

BE,DO,DO与AC交于点F,则下列结论:

①四边形ACBE是菱形；

②NACD=/BAE;

③AF:BE=2:3;

④S四边形AFOE：SACOD=2:3.

其中正确的结论是

2.（3分）

如图，平面直角坐标系中O是原点，QABCD的顶点A,C的坐标分别

是（8,0）,（3,4）,点D,E把线段OB三等分，延长CD、CE

分别交OA、AB于点F,G,连接FG.则下列结论：

①F是OA的中点；

②△OFD与4BEG相似；

③四边形DEGF的面积是；

二5

④OD=3

其中正确的结论是.

3.（3分）

如图.正方形ABCD的边长为1.AC.BD是对角线.符ADCB绕着

京D联时针战转45,•翔弘aDGH,HG交AB于点E,连接。E交AC

于点

F,连接FG.则下列结论：

①四边形AEGF是菱形

②AAED2AGED

(3)ZDFG=112.5°

④BC+FG=1.5

其中正确的结论是1

4(3分)

如图，四边形ABCD中，NA=90。，AB=3V3,AD=3,点M,N分别为

线段BC,AB上的动点(含端点，但点M不与点B重合)，点E,F

分别为

DM,MN的中点，则EF长度的最大值为.

5.(3分)

如图，四边形ABCD、CEFG都是正方形，点G在线段CD上，连

接BG、

DE,DE和FG相交于点0,设AB=a,CG=b(a>b).下列结论:

①ABCG%DCE;

②BG_LDE;

DGGC

③GC=CE

④(a-b)^S.EFO^-SADGO.其中结论正确的个数是()

二、计算题(共5小题，总分30分)

k

6.(6分)已知RSABC的斜边AB在平面直角坐标系的x轴上，点C(1,3)在反比例函数y=v

的图象上，且sin/BAC=0.6

(1)求k的值和边AC的长;

(2)求点B的坐标.

7.(6分)已知关于x的二次函数y=ax2+bx+c(a>0)的图象经过点C(0,1),且与x轴交于

不同的两点A、B,点A的坐标是(1,0)

(1)求c的值；

(2)求a的取值范围；

(3)该二次函数的图象与直线y=1交于C、D两点，设A、B、C、D四点构成的四边形的对角线相交于点P,记

△PCD的面积为Si,APAB的面积为S2,当0<a<1时，求证：S1-S2为常数，并求出该常数.

8.(6分)某校初三(1)班50名学生需要参加体育“五选一”自选项目测试，班上学生所报自选项

目的情况统计表如下：

自选项目人数频率

立定跳远90.18

三级蛙跳12a

一分钟跳绳80.16

投掷实心球b0.32

推铅球50.10

合计501

(1)求a,b的值；

(2)若将各自选项目的人数所占比例绘制成扇形统计图，求“一分钟跳绳”对应扇形的圆心角的度

数；

(3)在选报“推铅球”的学生中，有3名男生，2名女生，为了了解学生的训练效果，从这5名学

生中随机抽取两名学生进行推铅球测试，求所抽取的两名学生中至多有一名女生的概率.

9.(6分)如图，四边形ABCD是菱形，AB=4,且/ABC=60°,M为对角线BD(不含B点)上任

意一点，则AM+(1/2)BM的最小值是多少？

10.(6分)如图，在平面直角坐标系中，二次函数=2++的图像经过点B(0.73),C(2Q),其对称轴与x轴交于点D。

(1)求二次函数的表达式及其顶点坐标；

(2)若P为y轴上的一个动点，连接PD,贝IJ(1/2)PB+PD的最小值为

备用图

Part2Reading-40minutes

ReadingPassage1

Youshouldspendabout20minutesonQuestions1-13,whicharebasedonReadingPassage

1below.

Sheetglassmanufacture:

thefloatprocess

Glass,whichhasbeenmadesincethetimeoftheMesopotamiansandEgyptians,islittlemore

thanamixtureofsand,sodaashandlime.Whenheatedtoabout1500degreesCelsius(℃)this

becomesamoltenmassthathardenswhenslowlycooled.Thefirstsuccessfulmethodformaking

clear,flatglassinvolvedspinning.Thismethodwasveryeffectiveastheglasshadnottouched

anysurfacesbetweenbeingsoftandbecominghard,soitstayedperfectlyunblemished,witha

'firefinish'.However,theprocesstookalongtimeandwaslabourintensive.

Nevertheless,demandforflatglasswasveryhighandglassmakersacrosstheworldwerelooking

foramethodofmakingitcontinuously.Thefirstcontinuousribbonprocessinvolvedsqueezing

moltenglassthroughtwohotrollers/similartoanoldmangle.Thisallowedglassofvirtuallyany

thicknesstobemadenon-stop,buttherollerswouldleavebothsidesoftheglassmarked,and

thesewouldthenneedtobegroundandpolished.Thispartoftheprocessrubbedawayaround

20percentoftheglass,andthemachineswereveryexpensive.

ThefloatprocessformakingflatglasswasinventedbyAlistairPilkington.Thisprocessallowsthe

manufactureofclear,tintedandcoatedglassforbuildings,andclearandtintedglassforvehicles.

Pilkingtonhadbeenexperimentingwithimprovingthemeltingprocess,andin1952hehadthe

ideaofusingabedofmoltenmetaltoformtheflatglass,eliminatingaltogethertheneedfor

rollerswithinthefloatbath.Themetalhadtomeltatatemperaturelessthanthehardeningpoint

ofglass(about600℃),butcouldnotboilatatemperaturebelowthetemperatureofthemolten

glass(about1500℃).Thebestmetalforthejobwastin.

Therestoftheconceptreliedongravity,whichguaranteedthatthesurfaceofthemoltenmetal

wasperfectlyflatandhorizontalConsequently,whenpouringmoltenglassontothemoltentin,the

undersideoftheglasswouldalsobeperfectlyflat.Iftheglasswerekepthotenough,itwouldflow

overthemoltentinuntilthetopsurfacewasalsoflat,horizontalandperfectlyparalleltothebottom

surface.Oncetheglasscooledto604℃orlessitwastoohardtomarkandcouldbetransported

outofthecoolingzonebyrollers.Theglasssettledtoathicknessofsixmillimetresbecauseof

surfacetensioninteractionsbetweentheglassandthetin.Byfortunatecoincidence,60percent

oftheflatglassmarketatthattimewasforsix-millimetreglass.

Pilkingtonbuiltapilotplantin1953andby1955hehadconvincedhiscompanytobuildafull-

scaleplant.However,ittook14monthsofnon-stopproduction,costingthecompany£100,000a

month,beforetheplantproducedanyusableglass.Furthermore,oncetheysucceededinmaking

marketableflatglass,themachinewasturnedoffforaservicetoprepareitforyearsofcontinuous

production.Whenitstartedupagainittookanotherfourmonthstogettheprocessrightagain.

Theyfinallysucceededin1959andtherearenowfloatplantsallovertheworld,witheachableto

producearound1000tonsofglasseveryday,non-stopforaround15years.

Floatplantstodaymakeglassofnearopticalquality.Severalprocesses-melting,refining,

homogenising-takeplacesimultaneouslyinthe2000tonnesofmoltenglassinthefurnace.They

occurinseparatezonesinacomplexglassflowdrivenbyhightemperatures.Itaddsuptoa

continuousmeltingprocess,lastingaslongas50hours,thatdeliversglasssmoothlyand

continuouslytothefloatbath,andfromtheretoacoatingzoneandfinallyaheattreatmentzone,

wherestressesformedduringcoolingarerelieved.

Theprincipleoffloatglassisunchangedsincethe1950s.However,theproducthaschanged

dramatically,fromasinglethicknessof6.8mmtoarangefromsub-millimetreto25mmfroma

ribbonfrequentlymarredbyinclusionsandbubblestoalmostopticalperfection.Toensurethe

highestquality,inspectiontakesplaceateverystage.Occasionally,abubbleisnotremoved

duringrefining,asandgrainrefusestomelt,atremorinthetinputsripplesintotheglassribbon.

Automatedon-lineinspectiondoestwothings.Firstly,itrevealsprocessfaultsupstreamthatcan

becorrected.Inspectiontechnologyallowsmorethan100millionmeasurementsasecondtobe

madeacrosstheribbon,locatingflawstheunaidedeyewouldbeunabletosee.Secondly,it

enablescomputersdownstreamtosteercuttersaroundflaws.

Floatglassissoldbythesquaremetre,andatthefinalstagecomputerstranslatecustomer

requirementsintopatternsofcutsdesignedtominimisewaste.

Questions1-8

Completethetableanddiagrambelow.

ChooseNOMORETHANTWOWORDSfromthepassageforeachanswer.

Writeyouranswersinboxes1-8onyouranswersheet.

Earlymethodsofproducingflatglass

MethodAdvantagesDisadvantages

1........................•Glassremained2....................•Slow

3....................

Ribbon,Couldproduceglasssheets•Glasswas5....................

ofvarying4....................•20%ofglassrubbedaway

,Non-stopprocess•Machineswereexpensive

Pilkington'sfloatprocess

Questions9-13

DothefollowingstatementsagreewiththeinformationgiveninReadingPassage1?

Inboxes9-13onyouranswersheet,write

TRUE.ifthestatementagreeswiththeinformation

FALSEifthestatementcontradictstheinformation

NOTGIVENifthereisnoinformationonthis

9Themetalusedinthefloatprocesshadtohavespecificproperties.

10Pilkingtoninvestedsomeofhisownmoneyinhisfloatplant.

11Pilkington*sfirstfull-scaleplantwasaninstantcommercialsuccess.

12TheprocessinventedbyPilkingtonhasnowbeenimproved.

13Computersarebetterthanhumansatdetectingfaultsinglass.

ReadingPassage2

Youshouldspendabout20minutesonQuestions1-13,whicharebasedonReading

Passagebelow.

TeaandtheIndustrialRevolution

ACambridgeprofessorsaysthatachangeindrinkinghabitswasthereasonfortheIndustrialRevolution

inBritain.AnjanaAhujareports

A

AlanMacfarlane,professorofanthropologicalscienceatKing'sCollege,Cambridge,has,likeother

historians,spenddecadeswrestlingwiththeenigmaoftheIndustrialRevolution.Whydidthis

particularBigBang-theworld-changingbirthofindustry-happeninBritain?Andwhydiditstrike

attheendofthe18thcentury?

B

Macfarlanecomparesthepuzzletoacombinationlock.'Thereareabout20differentfactorsandall

ofthemneedtobepresentbeforetherevolutioncanhappen；hesays.Forindustrytotakeoff,

thereneedstobethetechnologyandpowertodrivefactories,largeurbanpopulationstoprovide

cheaplabour,easytransporttomovegoodsaround,anaffluentmiddle-classwillingtobuymass-

producedobjects,amarket-driveneconomyandapoliticalsystemthatallowsthistohappen.While

thiswasthecaseforEngland,othernations,suchasJapan,theNetherlandsandFrancealsomet

someofthesecriteriabutwerenotindustrialising.'Allthesefactorsmusthavebeennecessarybut

notsufficienttocausetherevolution；saysMacfarlane.'Afterall,Hollandhadeverythingexceptcoal,

whileChinaalsohadmanyofthesefactors.Mosthistoriansareconvincedthereareoneortwo

missingfactorsthatyouneedtoopenthelock.'

C

Themissingfactors,heproposes,aretobefoundinalmosteverykitchencupboard.Teaandbeer,

twoofthenation'sfavouritedrinks,fuelledtherevolution.Theantisepticpropertiesoftannin,the

activeingredientintea,andofhopsinbeer-plusthefactthatbotharemadewithboiledwater-

allowedurbancommunitiestoflourishatclosequarterswithoutsuccumbingtowater-borne

diseasessuchasdysentery.Thetheorysoundseccentricbutoncehestartstoexplainthedetective

workthatwentintohisdeduction,theskepticismgiveswaytowaryadmiration.Macfarlane'scase

hasbeenstrengthenedbysupportfromnotablequarters-RoyPorter,thedistinguishedmedical

historian,recentlywroteafavourableappraisalofhisresearch.

D

MacfarlanehadwonderedforalongtimehowtheIndustrialRevolutioncameabout.Historianshad

alightedononeinterestingfactoraroundthemid-18thcenturythatrequiredexplanation.Betweenabout

1650and1740,thepopulationinBritainwasstatic.Butthentherewasaburstinpopulationgrowth.

Macfarlanesays:'Theinfantmortalityratehalvedinthespaceof20years,andthishappenedinboth

ruralareasandcities,andacrossallclasses.Peoplesuggestedfourpossiblecauses.Wastherea

suddenchangeinthevirusesandbacteriaaround?Unlikely.Wastherearevolutioninmedicalscience?

ButthiswasacenturybeforeLister'srevolution*.Wasthereachangeinenvironmentalconditions?

Therewereimprovementsinagriculturethatwipedoutmalaria,buttheseweresmall

gains.Sanitationdidnotbecomewidespreaduntilthe19thcentury.Theonlyoptionleftisfood.But

theheightandweightstatisticsshowadecline.Sothefoodmusthavegotworse.Effortstoexplain

thissuddenreductioninchilddeathsappearedtodrawablank.'JosephListerwasthefirstdoctorto

useantiseptictechniquesduringsurgicaloperationstopreventinfections.

E

ThispopulationburstseemedtohappenatjustrighttimetoprovidelabourfortheIndustrial

Revolution.'Whenyoustartmovingtowardsanindustrialrevolution,itiseconomicallyefficientto

havepeoplelivingclosetogether；saysMacfarlane.'Butthenyougetdisease,particularlyfrom

humanwaste.'Somediggingaroundinhistoricalrecordsrevealedthattherewasachangeinthe

incidenceofwaterbornediseaseatthattime,especiallydysentery.Macfarlanededucedthat

whatevertheBritishweredrinkingmusthavebeenimportantinregulatingdisease.Hesays,'We

drankbeer.Foralongtime,theEnglishwereprotectedbythestrongantibacterialagentinhops,

whichwereaddedtohelppreservethebeer.Butinthelate17thcenturyataxwasintroducedon

malt,thebasicingredientofbeer.Thepoorturnedtowaterandginandinthe1720sthemortality

ratebegantoriseagain.Thenitsuddenlydroppedagain.Whatcausedthis?'

F

MacfarlanelookedtoJapan,whichhasalsodevelopinglargecitiesaboutthesametime,andalso

hadnosanitation.Water-bornediseaseshadamuchloosergripontheJapanesepopulationthan

thoseinBritain.Coulditbetheprevalenceofteaintheirculture?Macfarlanethennotedthatthe

historyofteainBritainprovidedanextraordinarycoincidenceofdates.Teawasrelativelyexpensive

untilBritainstartedadirectclippertradewithChinaintheearly18thcentury.Bythe1740s,about

thetimethatinfantmortalitywasdipping,thedrinkwascommon.Macfarlaneguessedthatthefact

thatwaterhadtobeboiled,togetherwiththestomach-purifyingpropertiesofteameantthatthe

breastmilkprovidedbymotherswashealthierthanithadeverbeen.NootherEuropeannation

sippedtealiketheBritish,which,byMacfarlane'slogic,pushedtheseothercountriesoutof

contentionfortherevolution.

G

But,ifteaisafactorinthecombinationlock,whydidn'tJapanforgeaheadinatea-soakedindustrial

revolutionofitsown?Macfarlanenotesthateventhough17th-centuryJapanhadlargecities,high

literacyrates,evenafuturesmarket,ithadturneditsbackontheessenceofanywork-based

revolutionbygivinguplabour-savingdevicessuchasanimals,afraidthattheywouldputpeopleout

ofwork.So,thenationthatwenowthinkofasoneofthemosttechnologicallyadvancedenteredthe

19thcenturyhaving'abandonedthewheel'.

*JosephListerwasthefirstdoctortouseantiseptictechniquesduringsurgicaloperationto

preventinfections.

ReadingPassage2hassevenparagraphs,A-G.

Choosethecorrectheadingforeachparagraphfromthelistofheadingsbelow.Write

thecorrectnumber,i-ix,inboxes1-7onyouranswersheet.

ListofHeadings

I.Thesearchforthereasonsforanincreasein

populationII.Industrialisationandthefearof

unemploymentIII.ThedevelopmentofcitiesinJapan

IV.ThetimeandplaceoftheIndustrialRevolution

V.ThecasesofHolland,FranceandChina

VI.ChangesindrinkinghabitsinBritain

VILTwokeystoBritain'sindustrialrevolution

VID.Conditionsrequiredforindustrialisation

IX.ComparisonswithJapanleadtotheanswer

1.ParagraphA

2.ParagraphB

3.ParagraphC

4.ParagraphD

5.ParagraphE

6.ParagraphF

7.ParagraphG

Questions8-13

DothefollowingstatementsagreewiththeinformationgiveninReadingPassage2?

Inboxes8-13onyouranswersheet,write

TRUEifthestatementagreeswiththeinformation

FALSEifthestatementcontradictstheinformation

NOTGIVENifthereisnoinformationonthis

8.China'stransportsystemwasnotsuitableforindustryinthe18thcentury.