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设函数f(x)，g(x)在[a，b]上连续，在(a，b)内可导，且g’(x)≠0(x∈(a，b))，求证：若单调增加，则在(a，b)单调增加．
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设函数fxgx在[ab]上连续在ab内二阶可导且存在相等的最大值又fa＝gafb＝gb证明 Ⅰ存在
设Fx是fx在ab上的一个原函数则fx+Fx在ab上
(A) 可导．
(B) 连续．
(C) 存在原函数．
(D) 不是分段函数．
设函数fx在[01]上连续在01内可导且f1=0求证至少存在一点ξ∈01使得2ξ+1fξ+ξf’ξ=
设函数fx在[01]上连续在01内可导且f0f1＜0．求证存在ξ∈01使得ξf’ξ+4-ξ2fξ=0
设不恒为常数的函数fx在闭区间[ab]上连续在开区间ab内可导且fa=fb．证明在ab内至少存在一点
设函数fx在闭区间[ab]上连续在开区间ab内二阶可导且fa=fc=fb其中c是ab内的一点且fx在
设函数fx在[03]上连续在03内可导且f0+f1+f2=3f3=1试证必存在ξ∈03使f’ξ=0
设不恒为常数的函数fx在闭区问[ab]上连续在开区问ab内可导且fa=fb证明在ab内至少存在一点ξ
设函数fx在闭区间[ab]上连续在开区间ab内二阶可导且fa=fc=fb其中c是ab内的一点且在[a
Ⅰ设fx在[ab]上连续在ab内可导fa=fb且fz非常数函数证明存在ξη∈ab使得f’ξ＞0f’η
设函数fx在[01]上连续在01内可导且满足[*]证明至少存在一点ξ∈01使得f’ξ=1-ξ-1fξ
设函数fxgx在[ab]上连续在ab内二阶可导且存在相等的最大值又fa=gafb=gb证明Ⅰ存在η∈
设函数fx定义在[ab]上正确的是
f(x)可导，则f(x)连续
f(x)不可导，则f(x)不连续
f(x)连续，则f(x)可导
f(x)不连续，则f(x)可导
设函数fx在[03]上连续在03内可导且f0+f1+f2=3f3=1试证必存在ξ∈03使f’ξ=0．
设函数fx在[01]上连续在01内可导且f1=0．求证至少存在一点ξ∈01使得2ξ+1fξ+ξf’ξ
Ⅰ设fx在[ab]上连续在ab内可导fa=fb且fz非常数函数证明存在ξη∈ab使得f’ξ＞0f’η
下列命题正确的是
(A) 设f(x)为(-∞，+∞)上的偶函数且在[0，+∞)内可导，则，f(x)在(-∞，+∞)内可导．
(B) 设f(x)为(-∞，+∞)上的奇函数且在[0，+∞)内可导，则f(x)在(-∞，+∞)内可导．
(C) 设
(D) 设x
0
∈(a，b)，f(x)在[a，b]除x
0
外连续，x
0
是f(x)的第一类间断点，则f(x)在[a，b]上存在原函数．
设函数fx在[ab]上连续在ab内可导且fa=fb=λ试证明至少存在一点ξ∈ab使f’ξ+fξ=λ．
设Fx是fx在区间01内的一个原函数则Fx+fx在区间01内______．
可导
连续
存在原函数
是初等函数
设函数fx在[01]上连续在01内可导且f0=00＜f’x＜10＜x＜1．求证[*]
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Directions:Atpresentmuchattentionisbeingattachedtotheenvironmentalprotection.Writealettertoadvocatecar-pooling.Andinyourletteryoushouldatleaststatetheaimofyourwritingandtheadvantagesofcar-pooling.Youshouldwriteabout100wordsonANSWERSHEET2.Donotsignyourownnameattheendoftheletter.UseLiMinginstead.Youdonotneedtowritetheaddress.
设a为常数则数列极限=______．
[A]DrDanielStanleyanoceanographerhasfoundvolcanicshardsinEgyptthathebelievesarelinkedtotheexplosion.ComputersimulationsbyMikeRampinoaclimatemodelerfromNewYorkUniversityshowthattheresultingashcloudcouldhaveplungedtheareaintodarknessaswellasgeneratinglightningandhailtwoofthe10plagues. [B]Thecloudcouldhavealsoreducedtherainfallcausingadrought.IftheNilehadthenbeenpoisonedbytheeffectsoftheeruptionpollutioncouldhaveturneditredashappenedinarecentenvironmentaldisasterinAmerica.Thesamepollutioncouldhavedrivenmillionsoffrogsontothelandthesecondplague.Onlandthefrogswoulddieremovingtheonlyobstacletoanexplosionoffliesandlice—thethirdandfourthplagues.Thefliescouldhavetransmittedfataldiseasestocattlethefifthplagueandboilsandblisterstohumansthesixthplague. [C]MoseswhichwillbebroadcastinDecember2002willsuggestthatmuchoftheBiblestorycanheexplainedbyasinglenaturaldisasterahugevolcaniceruptionontheGreekislandofSantoriniinthe16thcenturyBC. [D]Thehour-longdocumentaryarguesthateventhestoryofthepartingoftheRedSeawhichallowedMosestoleadtheHebrewstosafetywhilethepursuingEgyptianarmywasdrownedmayhaveitsoriginsintheeruption.Itrepeatsthetheorythat"RedSea"isamistranslationoftheSeaofReedsamuchshallowerswamp. [E]TheprogrammetellsthestoryofhowMosesledtheHebrewsoutofEgyptafteraseriesofplagueshaddevastatedthecountry.Butitalsousesnewscientificresearchtoarguethatmanyoftheeventssurroundingtheexoduscouldhavebeentriggeredbytheeruptionwhichwouldhavebeenathousandtimesmorepowerfulthananuclearbomb. [F]ComputersimulationsshowthattheSantorinieruptioncouldhavetriggereda600ft-hightidalwavetravelingatabout400milesanhourwhichwouldhavebeen6fthighandahundredmileslongwhenitreachedtheEgyptiandelta.Suchaneventwouldhavebeenrememberedforgenerationsandmayhaveprovidedtheinspirationforthestory. [G]FreshevidencethattheBiblicalplaguesandthepartingoftheRedSeawerenaturaleventsratherthanmythsormiraclesistobepresentedinanewBBCdocumentary. Order: 41
设fx在x=0的某邻域内有定义且满足求极限
In1929JohnD.Rockefellerdecideditwastimetosellshareswhenevenashoe-shineboyofferedhimasharetip.DuringthepastweekTheEconomist’seconomicseditorhasbeen-advisedbyataxidriveraplumberandahairdresserthatyoucan’tgowronginvestinginhousing—themoreyouownthebetter.IsthisasignthatitistimetogetoutAttheveryleastashousepricesaroundtheworldclimbtoeverloftierheightsandmoreandmorepeoplejumpontothebuy-to-letladderitistimetoexposesomeofthefallaciesregularlytrottedoutbysomanyself-appointedhousingexperts.Onecommonerroristhathousepricesmustcontinuetorisebecauseofalimitedsupplyofland.ForinstanceitisarguedthathousepriceswillalwaysriseinLondonbecauselotsofpeoplewanttolivehere.Butthisconfusesthelevelofpriceswiththeirrateofchange.Homepricesareboundtobehigherinbigcitiesbecauseoflandscarcitybutthisdoesnotguaranteethaturbanhousepriceswillkeeprisingindefinitely—justlookatTokyo’shugeprice-dropssince1990.Andthoughitistruethatafixedsupplyofhomesmaypushuphousepricesifthepopulationisrisingthiswouldimplyasteadyriseinpricesnotthe20%annualjumpsofrecentyears.Asecondflawedargumentisthatlowinterestratesmakebuyingahomecheaperandsopushupdemandandprices.Lowerinterestratesmayhaveallowedsomepeoplewhootherwisecouldnothaveaffordedamortgagetobuyahome.Butmanyborrowerswhothinkmortgagesarecheaperaresufferingfrommoneyillusion.Interestratesarenotverylowinrealinflation-adjustedterms.Initialinterestpaymentsmayseemlowinrelationtoincomebutbecauseinflationisalsolowitwillnoterodetherealburdenofdebtasswiftlyasitoncedid.Soinlateryearsmortgagepaymentswillbemuchlargerinrealterms.Toarguethatlownominalinterestratesmakebuyingahomecheaperislikearguingthatacarloanpaidoffoverfouryearsischeaperthanonerepaidovertwoyears.FallacynumberthreeisafavouriteclaimofAlanGreenspanchairmanofAmerica’sFederalReserve.Thisisthatpricebubblesarelesslikelyinhousingthaninthestockmarketbecausehighertransactioncostsdiscouragespeculation.Infactseveralstudieshaveshownthatbothintheoryandinpracticebubblesaremorelikelyinhousingthaninshares.AstudybytheIMFfindsthatasharpriseinhousepricesisfarmorelikelytobefollowedbyabustthanisashare-priceboom.Theauthorofthetextmakesacomparisonin______.
Sometimeswehavespecificproblemswithourmother;sometimeslifewithhercanjustbehardwork.Iftherearedifficultiesinyour1it’sbesttodealwiththem2rememberthatany3shouldbedone4personorbyletter.Thetelephoneisnotagood5becauseitistooeasy6eithersideto7theconversation. Explaintoher8youfinddifficultinyourrelationshipandthen9somenewarrangementsthatyouthinkwouldestablisha10balancebetweenyou.Sometimeswehold11fromestablishingsuchboundariesbecauseweareafraidthatdoing12impliesweare13her.Weneedtorememberthatbeing14fromourmotherdoesnot15meanthatWenolongerloveher.Iftheconflictis16andyoucannotfindawayto17ityoumightdecidetogiveupyourrelationshipwithyourmotherforawhile.Someofmypatientshad18"trialseparations".The19allowedthingstosimmerdownenabling20. 15
Apairofdicerolledagainandagainwilleventuallyproducetwosixes.Similarlythevirusthatcausesinfluenzaisconstantlychangingatrandomandonedaywillmutateinawaythatwillenableittoinfectbillionsofpeopleandtokillmillions.Manyexpertsnowbelieveaglobaloutbreakofpandemicfluisoverdueandthatthenextonecouldbeasbadastheonein1918whichkilledsomewherebetween25mand50mpeople.Todayhoweveradvancesinmedicineofferrealhopethatanothersuchoutbreakcanbecontained—ifgovernmentsstartpreparingnow.Newresearchpublishedthisweeksuggeststhatarelativelysmallstockpileofanantiviraldrug—aslittleas3mdoses—couldbeenoughtolimitsharplyaflupandemicifthedrugsweredeployedquicklytopeopleintheareasurroundingtheinitialoutbreak.Thedrug’smanufacturerRocheistalkingtotheWorldHealthOrganisationaboutdonatingsuchastockpile.Thisisgoodnews.ButmuchmoreneedstobedoneespeciallywithanastystrainofavianfluspreadinginAsiawhichcouldmutateintoathreattohumans.SincetheSARSoutbreakin2003afewcountrieshavedevelopedplansinpreparationforsimilarepisodes.Butprogresshasbeenshamefullypatchyandthereisstillfartoolittleinternationalcoordination.Aglobalstockpileofdrugsalonewouldnotbemuchusewithoutanadequatesystemofsurveillancetoidentifyearlycasesandawayofdeliveringtreatmentquickly.Ifanoutbreakoccurredinaborderregionforexampleaswiftresponsewouldmostlikelydependonprioragreementsbetweendifferentcountriesaboutquarantineandcontainment.Reachingsuchagreementsisrarelyeasybutthatmakesthetaskallthemoreurgent.Richcountriestendtobebetterpreparedthanpooronesbutthisshouldbenoconsolationtothem.Fludoesnotrespectborders.Itisineveryone’sinteresttomakesurethatdevelopingcountriesespeciallyinAsiaarealsowellprepared.Manymaybridleatinterferencefromoutside.Butifrichernationswerewillingtodonateanti-viraldrugsandguaranteeasupplyofanyvaccinethatbecomesavailablepoorernationsmightbewillingtoreachagreementsoversurveillanceandpreparedness.Simplysortingoutafewdetailsnowwillhavelivesandrecriminationslater.WilltherebeenoughventilatorsmakesanddrugsWherewillpeoplebetreatedifthehospitalsoverflowWillfoodbedeliveredasnormalToomanycountrieshavenoanswerstothesequestions.ThewordcontainedLine6Paragraph1mostprobablymeans______.
设B是3阶非零矩阵且满足BA=0．Ⅰ求矩阵BⅡ如果矩阵B的第1列是12-3T求B-E6．
求椭圆5x2+8xy+5y2=9的长短半轴之长．
设二元函数fuv具有二阶连续偏导数且满足又gxy=fx2-y22xy则=______．
[A]DrDanielStanleyanoceanographerhasfoundvolcanicshardsinEgyptthathebelievesarelinkedtotheexplosion.ComputersimulationsbyMikeRampinoaclimatemodelerfromNewYorkUniversityshowthattheresultingashcloudcouldhaveplungedtheareaintodarknessaswellasgeneratinglightningandhailtwoofthe10plagues. [B]Thecloudcouldhavealsoreducedtherainfallcausingadrought.IftheNilehadthenbeenpoisonedbytheeffectsoftheeruptionpollutioncouldhaveturneditredashappenedinarecentenvironmentaldisasterinAmerica.Thesamepollutioncouldhavedrivenmillionsoffrogsontothelandthesecondplague.Onlandthefrogswoulddieremovingtheonlyobstacletoanexplosionoffliesandlice—thethirdandfourthplagues.Thefliescouldhavetransmittedfataldiseasestocattlethefifthplagueandboilsandblisterstohumansthesixthplague. [C]MoseswhichwillbebroadcastinDecember2002willsuggestthatmuchoftheBiblestorycanheexplainedbyasinglenaturaldisasterahugevolcaniceruptionontheGreekislandofSantoriniinthe16thcenturyBC. [D]Thehour-longdocumentaryarguesthateventhestoryofthepartingoftheRedSeawhichallowedMosestoleadtheHebrewstosafetywhilethepursuingEgyptianarmywasdrownedmayhaveitsoriginsintheeruption.Itrepeatsthetheorythat"RedSea"isamistranslationoftheSeaofReedsamuchshallowerswamp. [E]TheprogrammetellsthestoryofhowMosesledtheHebrewsoutofEgyptafteraseriesofplagueshaddevastatedthecountry.Butitalsousesnewscientificresearchtoarguethatmanyoftheeventssurroundingtheexoduscouldhavebeentriggeredbytheeruptionwhichwouldhavebeenathousandtimesmorepowerfulthananuclearbomb. [F]ComputersimulationsshowthattheSantorinieruptioncouldhavetriggereda600ft-hightidalwavetravelingatabout400milesanhourwhichwouldhavebeen6fthighandahundredmileslongwhenitreachedtheEgyptiandelta.Suchaneventwouldhavebeenrememberedforgenerationsandmayhaveprovidedtheinspirationforthestory. [G]FreshevidencethattheBiblicalplaguesandthepartingoftheRedSeawerenaturaleventsratherthanmythsormiraclesistobepresentedinanewBBCdocumentary. Order: 43
Sometimeswehavespecificproblemswithourmother;sometimeslifewithhercanjustbehardwork.Iftherearedifficultiesinyour1it’sbesttodealwiththem2rememberthatany3shouldbedone4personorbyletter.Thetelephoneisnotagood5becauseitistooeasy6eithersideto7theconversation. Explaintoher8youfinddifficultinyourrelationshipandthen9somenewarrangementsthatyouthinkwouldestablisha10balancebetweenyou.Sometimeswehold11fromestablishingsuchboundariesbecauseweareafraidthatdoing12impliesweare13her.Weneedtorememberthatbeing14fromourmotherdoesnot15meanthatWenolongerloveher.Iftheconflictis16andyoucannotfindawayto17ityoumightdecidetogiveupyourrelationshipwithyourmotherforawhile.Someofmypatientshad18"trialseparations".The19allowedthingstosimmerdownenabling20. 13
Companieshaveembarkedonwhatlookslikethebeginningsofare-runofthemergersandacquisitionsM＆Awavethatdefinedthesecondbubblyhalfofthe1990s.Thatperiodreadersmightrecallwascharacterizedbyacollectivesplurgethatsawthecreationofsomeofthemostindebtedcompaniesinhistorymanyofwhichlaterwentbankruptorwerethemselvesbrokenup.WildbiddingfortelecomsinternetandmediaassetsnottomentionthemadnessthatwasDaimler’s$40billionmotoringtakeoverin1998-1999ofChryslerortheTime-Warner/AOLmega-mergerin2000helpedtogivemergersathoroughlybadname.AconsensusemergedthatM＆Awasagreatwayforinvestmentbankstoreaprichfeesandasurewayforambitiousmanagerstobetrayinvestorsbytrashingthevalueoftheirshares.NowM＆Aisback.ItsreturnisaglobalphenomenonbutitisperhapsmoststrikinginEuropewheresofarthisyeartherehasbeenastreamofdealsworthmorethan$600billionintotalaround40%higherthaninthesameperiodof2004.ThelatesteffortcamethisweekwhenFrance’sSaint-Gobainabuilding-materialsfirmunveiledthedetailsofits￡3.6billion$6.5billionhostilebidforBPBaBritishrival.Inthefirsthalfoftheyearcross-borderactivitywasupthreefoldoverthesameperiodlastyear.EvenFranceTelecomwhichwasleftalmostbankruptattheendofthelastmergerwaverecentlyboughtAmenaaSpanishmobileoperator.Shareholder’sapprovalofallthesedealsraisesaninterestingquestionforcompanieseverywhere:areinvestorsrighttothinkthinthesemergersaremorelikelytosucceedthanearlieronesTherearetwoanswers.Thefirstisthatpastmergersmayhavebeenjudgedtooharshly.ThesecondisthatthepresentrashofEuropeandealsdoeslookmorerationalbut—andthecaveatiscrucial—onlysofar.Thepatternmaynothold.M＆A’spoorreputationstemsnotonlyfromthestringofspectacularfailuresinthe1990sbutalsofromstudiesthatshowedvaluedestructionforacquiringshareholdersin80%ofdeals.Butmorerecentstudiesbyeconomistshaveintroducedanoteofcaution.Investorsshouldlookatthenumberofdealsthatsucceedorfailtypicallymeasuredbytheimpactonthesharepriceratherthanasyoumightthinkweighingthembysize.ForexamplenoonedoubtsthattheDaimler-Chryslermergerdestroyedvalue.ThecombinedmarketvalueofthetwofirmsisstillbelowthatofDaimleralonebeforethedeal.ThissingledealaccountedforhalfofallGermanM＆Aactivitybyvaluein1998and1999andprobablydominatedpeople’sthinkingaboutmergerstothesamedegree.Throwinafewothersuchmonstersanditisnowonderthatbroadstudieshavetendedtofindthatmergersareabadidea.Thetruepictureismorecomplicated.Thepatterninthethirdparagraphmostprobablydenotes______.
In1929JohnD.Rockefellerdecideditwastimetosellshareswhenevenashoe-shineboyofferedhimasharetip.DuringthepastweekTheEconomist’seconomicseditorhasbeen-advisedbyataxidriveraplumberandahairdresserthatyoucan’tgowronginvestinginhousing—themoreyouownthebetter.IsthisasignthatitistimetogetoutAttheveryleastashousepricesaroundtheworldclimbtoeverloftierheightsandmoreandmorepeoplejumpontothebuy-to-letladderitistimetoexposesomeofthefallaciesregularlytrottedoutbysomanyself-appointedhousingexperts.Onecommonerroristhathousepricesmustcontinuetorisebecauseofalimitedsupplyofland.ForinstanceitisarguedthathousepriceswillalwaysriseinLondonbecauselotsofpeoplewanttolivehere.Butthisconfusesthelevelofpriceswiththeirrateofchange.Homepricesareboundtobehigherinbigcitiesbecauseoflandscarcitybutthisdoesnotguaranteethaturbanhousepriceswillkeeprisingindefinitely—justlookatTokyo’shugeprice-dropssince1990.Andthoughitistruethatafixedsupplyofhomesmaypushuphousepricesifthepopulationisrisingthiswouldimplyasteadyriseinpricesnotthe20%annualjumpsofrecentyears.Asecondflawedargumentisthatlowinterestratesmakebuyingahomecheaperandsopushupdemandandprices.Lowerinterestratesmayhaveallowedsomepeoplewhootherwisecouldnothaveaffordedamortgagetobuyahome.Butmanyborrowerswhothinkmortgagesarecheaperaresufferingfrommoneyillusion.Interestratesarenotverylowinrealinflation-adjustedterms.Initialinterestpaymentsmayseemlowinrelationtoincomebutbecauseinflationisalsolowitwillnoterodetherealburdenofdebtasswiftlyasitoncedid.Soinlateryearsmortgagepaymentswillbemuchlargerinrealterms.Toarguethatlownominalinterestratesmakebuyingahomecheaperislikearguingthatacarloanpaidoffoverfouryearsischeaperthanonerepaidovertwoyears.FallacynumberthreeisafavouriteclaimofAlanGreenspanchairmanofAmerica’sFederalReserve.Thisisthatpricebubblesarelesslikelyinhousingthaninthestockmarketbecausehighertransactioncostsdiscouragespeculation.Infactseveralstudieshaveshownthatbothintheoryandinpracticebubblesaremorelikelyinhousingthaninshares.AstudybytheIMFfindsthatasharpriseinhousepricesisfarmorelikelytobefollowedbyabustthanisashare-priceboom.Towhichofthefollowingisauthorlikelytoagree
曲线在t=0对应点处切线的直角坐标方程是______．
求常数k的取值范围使得不等式kln1+x＞arctanx当x＞0时成立．
Inthepastyearalothaschangedinthefieldofhumanspaceflight.46InJanuaryPresidentGeorgeBushbrushedasidethefactthatAmerica’sentirespace-shuttlefleetwasgroundedwhenheannouncedgrandioseplanstoputpeoplebackonthemoonandthentolaunchamannedmissiontoMars.47InJuneButtRutananAmericanaeronauticalengineershowedthathumanspaceflightwasnolongerthepreserveofgovernmentsbysendingamantotheedgeofspaceinSpaceShipOneaprivatelyfinancedvehiclethatcostaboutthesametobuildasaluxuryyacht.ThatwasfollowedinSeptemberbySirRichardBransontheBritishentrepreneurbehindtheVirginbrandannouncingthathehadsignedadealwithMrRutantoworkonplansforafleetoffivesuborbitalvehiclesdevelopedfromSpaceShipOne. 48NowinthedyingdaysoftheyearAmerica’sCongresshaspassedabillthatunravelsatangleaboutwhowouldberesponsibleforregulatingthefledglingindustryandunderwhatterms.49ThebillalsoallowspassengerstoflyontheunderstandingthatthisnewgenerationofvehiclesmaynotbeassafeastakingacommercialflightbetweensayNewYorkandLondon. TheofficiallinefromVirginGalacticaasSirRichard’slatestventureismodestlynamedisthatthiscomingchangeinthelawmakesnopracticaldifferencetothefirm’splanssincetheydonotintendtoflyunlesstheycanmaketheirspacecraftassafeasaprivatejet.Butitmustsurelycomeassomesortofrelief.InanycaseWillWhitehorndirectorofcorporateaffairsatVirgin’sheadquartersinLondonandsoontobecomethepresidentofVirginGalacticasaysthatworkisunderwayonamockupoftheinteriorofanewspacecraftthatwillholdfivepassengers.50Virginhasalreadycommitted$20mtowardslicensingtheSpaceShipOnetechnologyfromMr.RutanandhisfinancialbackerPaulAllenasoftwarebillionaire. 49
设fx在[0+∞连续在0+∞可导x∈0+∞时fx＞0且单调上升x=gy为y=fx的反函数它们满足则fx的表达式是______．
In1929JohnD.Rockefellerdecideditwastimetosellshareswhenevenashoe-shineboyofferedhimasharetip.DuringthepastweekTheEconomist’seconomicseditorhasbeen-advisedbyataxidriveraplumberandahairdresserthatyoucan’tgowronginvestinginhousing—themoreyouownthebetter.IsthisasignthatitistimetogetoutAttheveryleastashousepricesaroundtheworldclimbtoeverloftierheightsandmoreandmorepeoplejumpontothebuy-to-letladderitistimetoexposesomeofthefallaciesregularlytrottedoutbysomanyself-appointedhousingexperts.Onecommonerroristhathousepricesmustcontinuetorisebecauseofalimitedsupplyofland.ForinstanceitisarguedthathousepriceswillalwaysriseinLondonbecauselotsofpeoplewanttolivehere.Butthisconfusesthelevelofpriceswiththeirrateofchange.Homepricesareboundtobehigherinbigcitiesbecauseoflandscarcitybutthisdoesnotguaranteethaturbanhousepriceswillkeeprisingindefinitely—justlookatTokyo’shugeprice-dropssince1990.Andthoughitistruethatafixedsupplyofhomesmaypushuphousepricesifthepopulationisrisingthiswouldimplyasteadyriseinpricesnotthe20%annualjumpsofrecentyears.Asecondflawedargumentisthatlowinterestratesmakebuyingahomecheaperandsopushupdemandandprices.Lowerinterestratesmayhaveallowedsomepeoplewhootherwisecouldnothaveaffordedamortgagetobuyahome.Butmanyborrowerswhothinkmortgagesarecheaperaresufferingfrommoneyillusion.Interestratesarenotverylowinrealinflation-adjustedterms.Initialinterestpaymentsmayseemlowinrelationtoincomebutbecauseinflationisalsolowitwillnoterodetherealburdenofdebtasswiftlyasitoncedid.Soinlateryearsmortgagepaymentswillbemuchlargerinrealterms.Toarguethatlownominalinterestratesmakebuyingahomecheaperislikearguingthatacarloanpaidoffoverfouryearsischeaperthanonerepaidovertwoyears.FallacynumberthreeisafavouriteclaimofAlanGreenspanchairmanofAmerica’sFederalReserve.Thisisthatpricebubblesarelesslikelyinhousingthaninthestockmarketbecausehighertransactioncostsdiscouragespeculation.Infactseveralstudieshaveshownthatbothintheoryandinpracticebubblesaremorelikelyinhousingthaninshares.AstudybytheIMFfindsthatasharpriseinhousepricesisfarmorelikelytobefollowedbyabustthanisashare-priceboom.ThetermfallaciesLine6Paragraph1mostprobablymeans______.
Apairofdicerolledagainandagainwilleventuallyproducetwosixes.Similarlythevirusthatcausesinfluenzaisconstantlychangingatrandomandonedaywillmutateinawaythatwillenableittoinfectbillionsofpeopleandtokillmillions.Manyexpertsnowbelieveaglobaloutbreakofpandemicfluisoverdueandthatthenextonecouldbeasbadastheonein1918whichkilledsomewherebetween25mand50mpeople.Todayhoweveradvancesinmedicineofferrealhopethatanothersuchoutbreakcanbecontained—ifgovernmentsstartpreparingnow.Newresearchpublishedthisweeksuggeststhatarelativelysmallstockpileofanantiviraldrug—aslittleas3mdoses—couldbeenoughtolimitsharplyaflupandemicifthedrugsweredeployedquicklytopeopleintheareasurroundingtheinitialoutbreak.Thedrug’smanufacturerRocheistalkingtotheWorldHealthOrganisationaboutdonatingsuchastockpile.Thisisgoodnews.ButmuchmoreneedstobedoneespeciallywithanastystrainofavianfluspreadinginAsiawhichcouldmutateintoathreattohumans.SincetheSARSoutbreakin2003afewcountrieshavedevelopedplansinpreparationforsimilarepisodes.Butprogresshasbeenshamefullypatchyandthereisstillfartoolittleinternationalcoordination.Aglobalstockpileofdrugsalonewouldnotbemuchusewithoutanadequatesystemofsurveillancetoidentifyearlycasesandawayofdeliveringtreatmentquickly.Ifanoutbreakoccurredinaborderregionforexampleaswiftresponsewouldmostlikelydependonprioragreementsbetweendifferentcountriesaboutquarantineandcontainment.Reachingsuchagreementsisrarelyeasybutthatmakesthetaskallthemoreurgent.Richcountriestendtobebetterpreparedthanpooronesbutthisshouldbenoconsolationtothem.Fludoesnotrespectborders.Itisineveryone’sinteresttomakesurethatdevelopingcountriesespeciallyinAsiaarealsowellprepared.Manymaybridleatinterferencefromoutside.Butifrichernationswerewillingtodonateanti-viraldrugsandguaranteeasupplyofanyvaccinethatbecomesavailablepoorernationsmightbewillingtoreachagreementsoversurveillanceandpreparedness.Simplysortingoutafewdetailsnowwillhavelivesandrecriminationslater.WilltherebeenoughventilatorsmakesanddrugsWherewillpeoplebetreatedifthehospitalsoverflowWillfoodbedeliveredasnormalToomanycountrieshavenoanswerstothesequestions.Thespeedo{remedydispatchisofimportanceto______.
Apairofdicerolledagainandagainwilleventuallyproducetwosixes.Similarlythevirusthatcausesinfluenzaisconstantlychangingatrandomandonedaywillmutateinawaythatwillenableittoinfectbillionsofpeopleandtokillmillions.Manyexpertsnowbelieveaglobaloutbreakofpandemicfluisoverdueandthatthenextonecouldbeasbadastheonein1918whichkilledsomewherebetween25mand50mpeople.Todayhoweveradvancesinmedicineofferrealhopethatanothersuchoutbreakcanbecontained—ifgovernmentsstartpreparingnow.Newresearchpublishedthisweeksuggeststhatarelativelysmallstockpileofanantiviraldrug—aslittleas3mdoses—couldbeenoughtolimitsharplyaflupandemicifthedrugsweredeployedquicklytopeopleintheareasurroundingtheinitialoutbreak.Thedrug’smanufacturerRocheistalkingtotheWorldHealthOrganisationaboutdonatingsuchastockpile.Thisisgoodnews.ButmuchmoreneedstobedoneespeciallywithanastystrainofavianfluspreadinginAsiawhichcouldmutateintoathreattohumans.SincetheSARSoutbreakin2003afewcountrieshavedevelopedplansinpreparationforsimilarepisodes.Butprogresshasbeenshamefullypatchyandthereisstillfartoolittleinternationalcoordination.Aglobalstockpileofdrugsalonewouldnotbemuchusewithoutanadequatesystemofsurveillancetoidentifyearlycasesandawayofdeliveringtreatmentquickly.Ifanoutbreakoccurredinaborderregionforexampleaswiftresponsewouldmostlikelydependonprioragreementsbetweendifferentcountriesaboutquarantineandcontainment.Reachingsuchagreementsisrarelyeasybutthatmakesthetaskallthemoreurgent.Richcountriestendtobebetterpreparedthanpooronesbutthisshouldbenoconsolationtothem.Fludoesnotrespectborders.Itisineveryone’sinteresttomakesurethatdevelopingcountriesespeciallyinAsiaarealsowellprepared.Manymaybridleatinterferencefromoutside.Butifrichernationswerewillingtodonateanti-viraldrugsandguaranteeasupplyofanyvaccinethatbecomesavailablepoorernationsmightbewillingtoreachagreementsoversurveillanceandpreparedness.Simplysortingoutafewdetailsnowwillhavelivesandrecriminationslater.WilltherebeenoughventilatorsmakesanddrugsWherewillpeoplebetreatedifthehospitalsoverflowWillfoodbedeliveredasnormalToomanycountrieshavenoanswerstothesequestions.Thebesttitleforthetextwouldbe______.
=______．
设fx在[01]上连续在01内二次可导且fx在[01]上的最大值M=2最小值m=0求证若fx的最大值点或最小值点至少有一个是区间01内的点则在01内必存在两点ξ与η使得|f’ξ|＞2|fη|＞4成立．
Sometimeswehavespecificproblemswithourmother;sometimeslifewithhercanjustbehardwork.Iftherearedifficultiesinyour1it’sbesttodealwiththem2rememberthatany3shouldbedone4personorbyletter.Thetelephoneisnotagood5becauseitistooeasy6eithersideto7theconversation. Explaintoher8youfinddifficultinyourrelationshipandthen9somenewarrangementsthatyouthinkwouldestablisha10balancebetweenyou.Sometimeswehold11fromestablishingsuchboundariesbecauseweareafraidthatdoing12impliesweare13her.Weneedtorememberthatbeing14fromourmotherdoesnot15meanthatWenolongerloveher.Iftheconflictis16andyoucannotfindawayto17ityoumightdecidetogiveupyourrelationshipwithyourmotherforawhile.Someofmypatientshad18"trialseparations".The19allowedthingstosimmerdownenabling20. 19
Manycountrieshaveatraditionofinvitingforeignerstorulethem.TheEnglishcalledinWilliamofOrangein1688anddependingonyourinterpretationofhistoryWilliamofNormandyin1066.Bothdidratheragoodjob.ReturningthecomplimentAlbaniaaskedawell-bredEnglishmancalledAubgreyHerberttobetheirkinginthe1920s.Herefused—andtheyendedupwithseveralcovescalledZog.Americathecountryofimmigrantshasnotruckwithimportedforeigntalent.ArticletwooftheConstitutionsaysthatnopersonexceptanatural-borncitizen...shallbeeligibletotheofficeofthepresident.Thisisnowbeingchallengedbyaparticularlyirresistibleimmigrant:ArnoldSchwarzenegger.BarelyayearhaspassedsincetheerstwhilecyborgswepttovictoryinCalifornia’srecallelectionyetthereisalreadyanAmend-for-ArnoldcampaigncollectingsignaturestolettheAustrian-borngovernorhaveagoattheWhiteHouse.GeorgeBushseniorhasweighedinonhisbehalf.ThereareseveralArnoldamendmentsinCongress:oneallowsforeignerswhohavebeennaturalizedcitizensfor20yearstobecomepresident.TheAustrianbecameAmericanin1983.Itiseasytodismissthehooplaasanotherregrettableexampleofloopycelebritypolitics.Mr.Schwarzeneggerhasmadeadecentstartasgovernorbuthehasdonelittleasyettochangethestructureofhisdysfunctionalstate.IndeedevenifthelawwerechangedhecouldwellbeelbowedasidebyanotherincomerthistimefromCanada:theDemocraticgovernorofMichiganJenniferGranholmwhoappearstohavefewerskeletonsinherclosetthanthehedonisticactor.MoreoverchangingtheAmericanconstitutionisnododdle.Ithashappenedonly17timessince1791whenthefirsttenamendmentswerecodifiedasthebillofrights.Tochangetheconstitutionanamendmenthastobeapprovedbytwo-thirdsofbothhousesofCongressandthentoberatifiedbythree-quartersofthe50states.TheArnoldamendmentishardlyinthesamecategoryasabolishingslaveryorgivingwomenthevote.AndassomewagspointoutAustrianimportshaveaprettydodgyrecordofrunningmilitarysuperpowers.ThephrasehasnotruckwithLine1Paragraph2mostprobablymeans______.
Manycountrieshaveatraditionofinvitingforeignerstorulethem.TheEnglishcalledinWilliamofOrangein1688anddependingonyourinterpretationofhistoryWilliamofNormandyin1066.Bothdidratheragoodjob.ReturningthecomplimentAlbaniaaskedawell-bredEnglishmancalledAubgreyHerberttobetheirkinginthe1920s.Herefused—andtheyendedupwithseveralcovescalledZog.Americathecountryofimmigrantshasnotruckwithimportedforeigntalent.ArticletwooftheConstitutionsaysthatnopersonexceptanatural-borncitizen...shallbeeligibletotheofficeofthepresident.Thisisnowbeingchallengedbyaparticularlyirresistibleimmigrant:ArnoldSchwarzenegger.BarelyayearhaspassedsincetheerstwhilecyborgswepttovictoryinCalifornia’srecallelectionyetthereisalreadyanAmend-for-ArnoldcampaigncollectingsignaturestolettheAustrian-borngovernorhaveagoattheWhiteHouse.GeorgeBushseniorhasweighedinonhisbehalf.ThereareseveralArnoldamendmentsinCongress:oneallowsforeignerswhohavebeennaturalizedcitizensfor20yearstobecomepresident.TheAustrianbecameAmericanin1983.Itiseasytodismissthehooplaasanotherregrettableexampleofloopycelebritypolitics.Mr.Schwarzeneggerhasmadeadecentstartasgovernorbuthehasdonelittleasyettochangethestructureofhisdysfunctionalstate.IndeedevenifthelawwerechangedhecouldwellbeelbowedasidebyanotherincomerthistimefromCanada:theDemocraticgovernorofMichiganJenniferGranholmwhoappearstohavefewerskeletonsinherclosetthanthehedonisticactor.MoreoverchangingtheAmericanconstitutionisnododdle.Ithashappenedonly17timessince1791whenthefirsttenamendmentswerecodifiedasthebillofrights.Tochangetheconstitutionanamendmenthastobeapprovedbytwo-thirdsofbothhousesofCongressandthentoberatifiedbythree-quartersofthe50states.TheArnoldamendmentishardlyinthesamecategoryasabolishingslaveryorgivingwomenthevote.AndassomewagspointoutAustrianimportshaveaprettydodgyrecordofrunningmilitarysuperpowers.ThewordcyborgLine1Paragraph3mostprobablyrefersto______.
Companieshaveembarkedonwhatlookslikethebeginningsofare-runofthemergersandacquisitionsM＆Awavethatdefinedthesecondbubblyhalfofthe1990s.Thatperiodreadersmightrecallwascharacterizedbyacollectivesplurgethatsawthecreationofsomeofthemostindebtedcompaniesinhistorymanyofwhichlaterwentbankruptorwerethemselvesbrokenup.WildbiddingfortelecomsinternetandmediaassetsnottomentionthemadnessthatwasDaimler’s$40billionmotoringtakeoverin1998-1999ofChryslerortheTime-Warner/AOLmega-mergerin2000helpedtogivemergersathoroughlybadname.AconsensusemergedthatM＆Awasagreatwayforinvestmentbankstoreaprichfeesandasurewayforambitiousmanagerstobetrayinvestorsbytrashingthevalueoftheirshares.NowM＆Aisback.ItsreturnisaglobalphenomenonbutitisperhapsmoststrikinginEuropewheresofarthisyeartherehasbeenastreamofdealsworthmorethan$600billionintotalaround40%higherthaninthesameperiodof2004.ThelatesteffortcamethisweekwhenFrance’sSaint-Gobainabuilding-materialsfirmunveiledthedetailsofits￡3.6billion$6.5billionhostilebidforBPBaBritishrival.Inthefirsthalfoftheyearcross-borderactivitywasupthreefoldoverthesameperiodlastyear.EvenFranceTelecomwhichwasleftalmostbankruptattheendofthelastmergerwaverecentlyboughtAmenaaSpanishmobileoperator.Shareholder’sapprovalofallthesedealsraisesaninterestingquestionforcompanieseverywhere:areinvestorsrighttothinkthinthesemergersaremorelikelytosucceedthanearlieronesTherearetwoanswers.Thefirstisthatpastmergersmayhavebeenjudgedtooharshly.ThesecondisthatthepresentrashofEuropeandealsdoeslookmorerationalbut—andthecaveatiscrucial—onlysofar.Thepatternmaynothold.M＆A’spoorreputationstemsnotonlyfromthestringofspectacularfailuresinthe1990sbutalsofromstudiesthatshowedvaluedestructionforacquiringshareholdersin80%ofdeals.Butmorerecentstudiesbyeconomistshaveintroducedanoteofcaution.Investorsshouldlookatthenumberofdealsthatsucceedorfailtypicallymeasuredbytheimpactonthesharepriceratherthanasyoumightthinkweighingthembysize.ForexamplenoonedoubtsthattheDaimler-Chryslermergerdestroyedvalue.ThecombinedmarketvalueofthetwofirmsisstillbelowthatofDaimleralonebeforethedeal.ThissingledealaccountedforhalfofallGermanM＆Aactivitybyvaluein1998and1999andprobablydominatedpeople’sthinkingaboutmergerstothesamedegree.Throwinafewothersuchmonstersanditisnowonderthatbroadstudieshavetendedtofindthatmergersareabadidea.Thetruepictureismorecomplicated.Theconclusionreachedbygeneralresearchesisthatmergersarenot______.
Sometimeswehavespecificproblemswithourmother;sometimeslifewithhercanjustbehardwork.Iftherearedifficultiesinyour1it’sbesttodealwiththem2rememberthatany3shouldbedone4personorbyletter.Thetelephoneisnotagood5becauseitistooeasy6eithersideto7theconversation. Explaintoher8youfinddifficultinyourrelationshipandthen9somenewarrangementsthatyouthinkwouldestablisha10balancebetweenyou.Sometimeswehold11fromestablishingsuchboundariesbecauseweareafraidthatdoing12impliesweare13her.Weneedtorememberthatbeing14fromourmotherdoesnot15meanthatWenolongerloveher.Iftheconflictis16andyoucannotfindawayto17ityoumightdecidetogiveupyourrelationshipwithyourmotherforawhile.Someofmypatientshad18"trialseparations".The19allowedthingstosimmerdownenabling20. 17
Inthepastyearalothaschangedinthefieldofhumanspaceflight.46InJanuaryPresidentGeorgeBushbrushedasidethefactthatAmerica’sentirespace-shuttlefleetwasgroundedwhenheannouncedgrandioseplanstoputpeoplebackonthemoonandthentolaunchamannedmissiontoMars.47InJuneButtRutananAmericanaeronauticalengineershowedthathumanspaceflightwasnolongerthepreserveofgovernmentsbysendingamantotheedgeofspaceinSpaceShipOneaprivatelyfinancedvehiclethatcostaboutthesametobuildasaluxuryyacht.ThatwasfollowedinSeptemberbySirRichardBransontheBritishentrepreneurbehindtheVirginbrandannouncingthathehadsignedadealwithMrRutantoworkonplansforafleetoffivesuborbitalvehiclesdevelopedfromSpaceShipOne. 48NowinthedyingdaysoftheyearAmerica’sCongresshaspassedabillthatunravelsatangleaboutwhowouldberesponsibleforregulatingthefledglingindustryandunderwhatterms.49ThebillalsoallowspassengerstoflyontheunderstandingthatthisnewgenerationofvehiclesmaynotbeassafeastakingacommercialflightbetweensayNewYorkandLondon. TheofficiallinefromVirginGalacticaasSirRichard’slatestventureismodestlynamedisthatthiscomingchangeinthelawmakesnopracticaldifferencetothefirm’splanssincetheydonotintendtoflyunlesstheycanmaketheirspacecraftassafeasaprivatejet.Butitmustsurelycomeassomesortofrelief.InanycaseWillWhitehorndirectorofcorporateaffairsatVirgin’sheadquartersinLondonandsoontobecomethepresidentofVirginGalacticasaysthatworkisunderwayonamockupoftheinteriorofanewspacecraftthatwillholdfivepassengers.50Virginhasalreadycommitted$20mtowardslicensingtheSpaceShipOnetechnologyfromMr.RutanandhisfinancialbackerPaulAllenasoftwarebillionaire. 47
[A]DrDanielStanleyanoceanographerhasfoundvolcanicshardsinEgyptthathebelievesarelinkedtotheexplosion.ComputersimulationsbyMikeRampinoaclimatemodelerfromNewYorkUniversityshowthattheresultingashcloudcouldhaveplungedtheareaintodarknessaswellasgeneratinglightningandhailtwoofthe10plagues. [B]Thecloudcouldhavealsoreducedtherainfallcausingadrought.IftheNilehadthenbeenpoisonedbytheeffectsoftheeruptionpollutioncouldhaveturneditredashappenedinarecentenvironmentaldisasterinAmerica.Thesamepollutioncouldhavedrivenmillionsoffrogsontothelandthesecondplague.Onlandthefrogswoulddieremovingtheonlyobstacletoanexplosionoffliesandlice—thethirdandfourthplagues.Thefliescouldhavetransmittedfataldiseasestocattlethefifthplagueandboilsandblisterstohumansthesixthplague. [C]MoseswhichwillbebroadcastinDecember2002willsuggestthatmuchoftheBiblestorycanheexplainedbyasinglenaturaldisasterahugevolcaniceruptionontheGreekislandofSantoriniinthe16thcenturyBC. [D]Thehour-longdocumentaryarguesthateventhestoryofthepartingoftheRedSeawhichallowedMosestoleadtheHebrewstosafetywhilethepursuingEgyptianarmywasdrownedmayhaveitsoriginsintheeruption.Itrepeatsthetheorythat"RedSea"isamistranslationoftheSeaofReedsamuchshallowerswamp. [E]TheprogrammetellsthestoryofhowMosesledtheHebrewsoutofEgyptafteraseriesofplagueshaddevastatedthecountry.Butitalsousesnewscientificresearchtoarguethatmanyoftheeventssurroundingtheexoduscouldhavebeentriggeredbytheeruptionwhichwouldhavebeenathousandtimesmorepowerfulthananuclearbomb. [F]ComputersimulationsshowthattheSantorinieruptioncouldhavetriggereda600ft-hightidalwavetravelingatabout400milesanhourwhichwouldhavebeen6fthighandahundredmileslongwhenitreachedtheEgyptiandelta.Suchaneventwouldhavebeenrememberedforgenerationsandmayhaveprovidedtheinspirationforthestory. [G]FreshevidencethattheBiblicalplaguesandthepartingoftheRedSeawerenaturaleventsratherthanmythsormiraclesistobepresentedinanewBBCdocumentary. Order: 45
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