07年高中招生保送生试题及答案Word文件下载.docx

07年高中招生保送生试题及答案Word文件下载.docx

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A、

B、－

C、

D、－

5、如图，ΔABC是正三角形，曲线CDEF…叫做

“正三角形的渐开线”，其中

、

的圆心

依次按A、B、C…循环，它们依次相连接，如果

AB=1，那么曲线CDEF的长是（）

A、2πB、4πC、6πD、8π

二、填空题（4×

6=24分）

6、若x2+x–1=0，则x3+2x2+2000=

7、市场调查表明：

某种商品的销售率y（销售率=

）与价格倍数x（价格倍数=

）的关系满足函数关系y=－

x+

（0.8≤x≤6.8）根据有关规定，该商品售价不得超过进货价格的2倍，某商场希望通过该商品获取50%的利润，那么该商品的价格倍数应定为。

8、如图：

AB是⊙O的直径，AB=2，OC是⊙O的半径，

OC⊥AB，点D在

上，

=2

，点P是半径OC上的

一个动点，那么当AP+PD值为最小时，OP的长为。

9、如图：

若长方体中，AB=5，BC=3，BB1=4，如果一个蚂蚁从A点爬至C1点（只能沿表面爬行），那么爬行的最短长度为

三、解答题（66分）

10、（14分）已知

=

=1，求

÷

（

-x–2）的值。

11、（14分）若方程x2+2px–q=0（p、q是实数）没有实数根。

（1）求证：

p+q<

（2）试写出上述命题的逆命题

（3）判断

（2）中的逆命题是否正确，若正确请加以证明；

若不正确，请举一反例说明。

12、（18分）如图：

抛物线y=x2–px–q与x轴交于A、B两点，

与y轴交于C点，已知∠ACB=Rt∠，∠CAO=α，∠CBO=β，tanα-tanβ=4

（1）求抛物线的解析式，并用配方法求顶点坐标，对称轴方程

（2）平行于x轴的一条直线交抛物线于M、N两点，若以MN为直径的圆正好与x轴相切，求此圆的半径。

13、（20分）如图：

在直角坐标系中，以O'

（a，0）为圆心的圆与x轴交于C、D两点，与y轴交于A、B两点，连结AC。

（1）点E在AB上，EA=EC，求证：

AC2=AE·

AB

（2）在

（1）的结论下，延长EC到P，连结PB，若PB=PE，试判断PB与⊙O'

的位置关系，并说明理由。

（3）如果a=2，⊙O΄的半径为4，求

（2）中直线PB的解析式。

英语

（满分100分）

注意：

请同学们必须将1—40小题的答案字母填写在答卷表格中，否则不给分。

Ⅰ.单项填空。

（每空1分，共15分）

1．－John______bereadingintheclassroom.

－No,he______bethere.Isawhiminthelibraryjustnow.

A.must;

can’t 

B.can;

mustn’t 

C.may;

maynot 

D.should;

mightn’t

2.Marywasheard_____thepianointhenextroomwhenIgothome.

A.play 

B.playing 

C.toplay 

D.plays

3.Nearlyhalfofthepopulation_______smokersinmoderntimes.

A.isB.wasC.areD.were

4.Thereisamonkey______inthemountain.

A.live 

B.livedC.living 

D.areliving

5.Hehasn’twrittentousforalongtime.

Whatdoyousuppose__________tohim?

A.washappeningB.tohappenC.hashappenedD.havinghappened

6.Thewallneeds_________.

A.topaintB.paintedC.paintsD.painting 

7.Itwas________experimentthatallofusfelt_________.

A.soadisappointed,disappointedB.asuchdisappointed,disappointing

C.suchadisappointing,disappointingD.sodisappointingan,disappointed

8.He_______ontheground_______tomethathiscock_____twoeggsaday.

A.lied,laying,hadlaidB.lay,lying,hadlaidC.laid,lay,hadlaidD.lay,laid,haslaid

9.Isthishotel_________youtalkedof________youspentthestormynight?

A.theone,whereB.where,thatC.\,whereD.theonethat,which

10.Hehurriedtothestationonly__________thatthetrain_________.

A.Tohavefound,hadleftB.finding,leftC.found,leftD.tofind,hadleft

11.Anewcinema_____here.Theyhopetofinishitnextweek.

A.willbebuiltB.isbuiltC.hasbeenbuiltD.isbeingbuilt

12.----When________again?

----Whenhe_________,I’llletyouknow.

A.hecomes;

comeB.willhecome;

comes

C.hecomes;

willcomeD.willhecome;

coming

13．----ShallMarycomeandplaycomputergames?

-----No,_________shehasfinishedherhomework.

A.whenB.ifC.unlessD.as

14.Nothingbutseveralglasses_________boughtbymyfatherthedaybeforeyesterday.

A.wasB.wereC.havebeenD.wouldbe

15.I________lettersallthismorning.

A.wroteB.havewrittenC.havebeenwritingD.hadwritten

II.完型填空。

（每空1分，共10分）

FromMonday16Fridaymostpeoplearebusyworkingorstudying,butintheeveningsorontheweekend,theyarefreeandenjoythemselves.Somewatchtelevisionorgotothemovies:

others17sports.Itdependsonindividual18.Therearemanydifferentways19

oursparetime.

Almosteveryonehassomekindofhobby.Itmaybesomethingfromcollectingstampsto

20modelairplanes.Somehobbiesareveryexpensive,butothersdon’tcostanything21.Somecollectionsareworth22money;

othersarevaluableonlytotheirowners.

Iknowaman23acoincollectingworthseveral24dollars.Ashorttimeagoheboughtararefifty-centpiece2510,000$!

Hewasveryhappyabouthiscollectionandthoughtthepricewasreasonable.

16.A.tillB.untilC.onD.in

17.A.joinB.taketheplaceC.takepartinD.takeplace

18.A.jobsB.livesC.interestsD.holiday

19.A.tocostB.takingC.spendingD.tospend

20.A.makeB.bemadeC.makingD.made

21.A.afterallB.inallC.atallD.aboveall

22.A.fewB.littleC.agreatdealD.alotof

23.A.whohaveB.whohasC.whichhasD.thathave

24.A.ofhundredB.hundredsofC.hundredD.ofhundreds

25.A.costedB.whichwascostC.costingD.whichpaid

III.阅读理解（每题2分，共30分）

A

GeorgeWashingtonisoneofthemostfamouscitizensoftheUnitedStates.Fornearlytwentyyears,heguidedhisnation.

WashingtonwasborninWestmorelandCounty,Virginia,onFebruary22,1732.ItisdifficulttoknowmuchaboutWashington’searlyeducation.Heonlyhadsevenoreightyearsofschoolinhiswholelife.In1749hebecameasurveyor,apersonwhomeasureslandareasasaprofession.HeservedinthearmyduringtheAmericanRevolution.Infact,hewasalieutenantgeneral,thehighestrankinthearmyatthattime.

WashingtonwaselectedpresidentoftheUnitedStatesin1787.Hewasreelectedtoasecondtermin1792.Manypeoplewantedhimtocontinueaspresidentafterhissecondterm,butWashingtonrefused.

DuringWashington’spresidency,manyimportantthingshappened.Thefirstnationalcensus（人口普查）wascompleted.ThetotalnumberofU.S.citizenswasthen3,929,214.Inaddition,theBillofRightsbecamelawonDecember15,1791.

WashingtonhelpedtoshapethebeginningoftheUnitedStatesinthreeimportantways.First,hecommandedtheContinentalArmythatwonindependence（独立）fromGreatBritainintheRevolutionaryWar.Second,heservedaspresidentoftheconferencethatwrotetheUnitedStatesConstitution（宪法）.Third,hewasthefirstmanelectedpresidentoftheUnitedStates.

Thenation’scapital,Washington,D.C.,wasnamedforhim.ThestateofWashingtonistheonlystatethatwasnamedforapresident.Manycounties,towns,cities,streets,bridges,lakes,andschoolshaveWashington’snametoday.Hisportraitappearsonpostagestamps,ontheone-dollarball,andonthequarter.

ThepeopleofhisdaylovedWashingtonverymuch.Hisarmyofficerswantedtomakehimking,buthedidnotletthem.TodaywecontinuetorememberthisfamousUnitedStatescitizen.

26.Washingtonfirstbecamepresidentin___________.

A.1732B.1749C.1787D.1792

27.Washington’sfirstjobwasa_____________.

A.lieutenantgeneralB.presidentC.surveyorD.educator

28.Whichstateisnamedforapresident?

A.WashingtonD.C.B.VirginiaC.GeorgeWashingtonD.Washington

29.Thefirstnationalcensuswascompleted___________.

A.in1791B.1787C.whenWashingtonwaspresidentD.bothAandC

30.Whichofthesestatementsistrue?

A.Washingtonwaspresidentforthreeterms.B.Washingtonwasreelected.

C.Washingtonattendedmanyuniversities.D.Washington’spictureisonallU.S.money

B

Anartistwenttoabeautifulpartofthecountryforaholidayandstayedwithafarmer.Everydayhewentoutwithhispaintsandhisbrushandpaintedtillevening,andthen,whenitgotdarkhewentbacktothefarmandhadagooddinnerbeforehewenttobed.

Attheendofhisholidayhewenttopaythefarmer,butthefarmersaid,”No,Idon’twantmoney.Butgivemeoneofyourpictures.What’smoney?

Inaweekitwillallbefinished,butyourpicturewillstillbehere.”

Thepainterwasverypleasedandthankedthefarmerforsayingsuchkindthingsabouthispainting.

Thefarmersmiledandanswered,”It’snotthat,IhaveasoninLondon.Hewantstobecomeanartist.Whenhecomesherenextmonth,I’llshowhimyourpicture,andthenhewillnotwanttobeanartistanymore,Ithink.”

31.Whydidtheartistgotothecountry?

__________

A.TohavearestB.Toworkhardathispainting

C.TostaywiththefarmerD.Toenjoythebeautyofthecountry

32.Theartistwasgoingtopaythefarmer_____________.

A.beforehewasreturninghomeB.afterhefinishedhiswork

C.afterhisholidaywasoverD.assoonasheleftthecountry

33.Whenthefarmersaid“What’smoney?

”itshowsthatthefarmer_______.

A.waspuzzledbywhattheartistsaidB.thoughttheartistpaidhimtoomuch

C.hadalreadyhadalotofmoneyD.didnotcaremuchaboutthemoney

34.Howlongdidtheartiststayinthecountry?

_________

A.AbouttwoweeksB.NearlyaweekC.Wedon’tknowD.Amonth

35.Fromthepassagewecanconcludethat_________-----.

A.theartistwasnotfondofpaintingB.theartistpaintedpoorly

C.theartistpaintedquitewellD.theartistdidnotworkhardenough

C

Habits,whethergoodorbad,aregraduallyformed.Whenapersondoesacertainthingagain,heisdrivenbysomeunseenforcetodothesamethingrepeatedly,thenahabitisformed.Onceahabitisformed,itisdifficult,andsometimesimpossible,togetridof.Itisthereforeveryimportantthatweshouldpaygreatattentiontotheformationofhabits.Childrenoftenformbadhabits,someofwhichremainwiththemaslongastheylive.Olderpersonsalsoformbadhabitslastingastheylive,andsometimesbecomeruinedbythem.

Thereareotherhabitswhich,whenformedinearlylife,areofgreathelp.Manysuccessfulmensaythatmuchoftheirsuccesshassomethingtodowithcertainhabitsinearlylife,suchasearlyrising,honestyandsoon.

Amongthehabitswhichchildrenshouldnotformarelaziness,lying,stealingandsoon.Thesearealleasilyformedsuchhabits.Unfortunatelyolderpersonoftenformhabits