填空题已知向量组a1=(1,2,0,1)T,a2=(2,-1,1,-1)T,a3=(3,a,1,0)T,a4=(1,2,3,a+3)T,a5=(4,3,a,1)T的秩为3.则其极大线性无关组是______.
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填空题曲线的斜渐近线为________.
填空题设f(x)=在x=1处可微,则a=________,b=________.
填空题设λ
1
,λ
2
,λ
3
是三阶矩阵A的三个不同特征值,α
1
,α
2
,α
3
分别是属于特征值λ
1
,λ
2
,λ
3
的特征向量,若α
1
,A(α
1
+α
2
),A
2
(α
1
+α
2
+α
3
)线性无关,则λ
1
,λ
2
,λ
3
满足______.
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填空题设
填空题[A]Thetake-upofEVs—whichrunentirelyonelectricitystoredinrechargeablebatteries—isseenascentraltotheplantocutthetransportsector'scarbonemissions,bothhereandacrosstheEuropeanUnion.Itispredictedthatwewillberunningatotalof800,000EVsinBritainby2020,andasaresulttheracetoinstallarecharginginfrastructureiswellunderway.TransportforLondon(TfL)recentlyannounceditwillhave1,300EVchargingpointsinLondonby2013—morethanthecurrentnumberofpetrolstationsinthecapital.TheLondonmayor,BorisJohnson,isontherecordassayinghewantstomakethecitytheelectriccarcapitalofEurope.[B]However,thepowercompanies,sensingagoodbusinessopportunity,arenowvyingtosignupelectriccar-owninghouseholdswiththeofferofcheaperandfasteroff-peakhomechargingthatwillcutthetimeittakestorechargethevehicle—freeingittomakemorejourneys,andmakingthemmoreattractivetobuyers.Sofar,EDF,BritishGas,andmostrecentlynpowerhavesaidtheywillbetargetingEVuserswithspecialhomeservicesaswellascheapertariffsforrechargingvehicles.[C]Whatwouldmakeyouconsiderbuyinganelectriccar?Theyofferagreenwaytogetaround,withthechancetobypasspetrolstations.AndtheyareexemptfromroadtaxandLondon'scongestioncharge.Energycompanynpower(英国电力公司)thisweekrevealedthat33%ofUKdriverswouldthinkaboutbuyinganelectricvehicle(EV)inthenextfiveyears,risingto41%whenthebenefitswereexplained.[D]ButdespitetheintroductioninJanuaryofagenerous£5,000governmentpurchasegranttoencouragemorepeopletotaketheplunge,it'sfairtosaythatsalesofelectricallypoweredcarsintheUKareyettoreallytakeoff.Justover500peopletookthegovernmentuponitsofferinthefirstquarterofthisyear.Theirhighprices—typicallyabout£25,000afterthegrant—plusalackofmodelsbymajorcarmakersandashortageofchargingpoints,haveheldbacksales.However,thelasttwopointsareabouttochange.[E]SpeakinginBerlinlastweek,npower'sheadofe-mobility,PhilEvans,toldGuardianMoneythatthecompanyseesEVsasamajoropportunity,andasaresultitisworkingonbuildingan"upgradable"charginginfrastructurethatwilldevelopasthecars'powersystemsbecomemoresophisticated.[F]PotentialbuyersnowhaveachoiceofsevenmodelsintheUK,with13moreontheway,whileEDFEnergy(英国电网),BritishGasandnpowerhaverecentlyannouncedplanstostartofferingtoinstallfasterandcheaperchargingpointsincustomers'homes,inamovetheyhopewillhelpkick-startsales.Thecompaniesarebankingonthefactthatbuyersofthelatest,moreconsumer-friendlyelectriccars,suchastheNissanLeaf,aregoingtoboostdemandforelectricity.[G]PlansarealsounderwaytoincreasethenumberofchargingpointsatavarietyoflocationsacrosstheUK—andsoonitwillbepossibleforhomeownerstoupgradetheirgaragestoallowfaster,saferhomecharging.Untilrecently,mostownersofplug-in-to-rechargeelectriccarshavehadtorelyonthetraditionalthree-pointhouseholdplug,andwaitabouteighthourstofullyrechargetheirvehicleathome.
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填空题设3阶方阵A的特征值λ
1
,λ
2
,λ
3
互不相同,α
1
,α
2
,α
3
依次为对应于λ
1
,λ
2
,λ
3
的特征向量,则向量组α
1
,A(α
1
+α
2
),A
2
(α
1
+α
2
+α
3
)线性无关的充分必要条件是λ
1
,λ
2
,λ
3
满足_______.
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填空题设f(x)连续,且则
填空题设f(x)是连续函数,满足f(x)=,则f(x)=______.
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填空题=________.