填空题已知f(x)=,则f(n)(3)=________.
填空题由曲线y=lnx与两直线y=e+1-x及y=0围成平面图形的面积S=______.
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填空题当x→0时,-1~cos2x-1,则a=________.
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填空题设A是3阶矩阵,ξ
1
,ξ
2
,ξ
3
是三个线性无关的3维列向量,满足Aξ
i
=ξ
i
,i=1,2,3,则A=________.
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填空题若二次型f(x
1
,x
2
,x
3
)一2x
1
2
+x
2
2
+x
2
3
+2x
1
x
2
+tx
2
x
3
是正定的,则t的取值范围是________。
填空题Allmodernhumanoriginatedinsub-SaharanAfrica,accordingtoanewstudyboastedbyitsfoundersasthe"finalblow"againstanopposingviewpoint.Notsofast,saysoneanthropologistwhofindsflawsintheevidence.Thenewstudy,publishedintheJuly19issueofthejournalNature,deliverswhattheresearcherssaycouldbethefinalverdictinsupportofthesinglepoint"OutofAfrica"theory.Manicaandcolleaguestookmultiplemeasurementsofmorethan4,500malefossilskullsfrom105populationsaroundtheglobe.Theycombinedtheresultswithdatafromstudiesofglobalgeneticvariationsinhumans,findingthatbothgeneticandskullvariabilitydecreasedwithdistancefromAfrica.SopopulationsinsoutheasternAfricaheldthehighestvariabilitycomparedwithpopulationsinothercountries.Theresultsheldevenwhenthescientistsaccountedforclimate,sinceclimateconditionscanleadtochangesinskullfeatures."Inverycoldclimatesyoutendtogenerateaslightlythickerbrowridge.Whetherornotthat'stokeephorribleblizzardsoutofyoureyes,Idon'tknow,"Amossaid.Paststudiesbasedonskullmorphologyhavebeenweakandhavesupportedbothofthehumanoriginviews.Inhisownresearch,Hawksisfundingthatnaturalselectionhasledtochangesinthousandsofgenesduringonlythepastfewthousandyears."I'mreallythinkingjusttheoppositeofthispaper,"Hawkssaid."Therearedifferencesintheskullbetweenpopulations,includingtheirvariability,butitismostlyduetoveryrecenteffectsandnottheoriginofmodernhumans.""ThemuhiregionalideaisidenticaltotherecentAfricanoriginidea,exceptforitspredictionthatEuropeansandAsianswerepartofthesinglepopulationoforiginanddidn'tbecomeextinct."[A]"HumansseemtohavepouredoutofAfrica,spreadoutacrosstheworld,butatareallyquiteuniformratesuchthatyougetthislovelygraduallossofdiversity,"saidstudyteammemberWilliamAmosoftheUniversityofCambridge.[B]Allmodernhumansoriginatedfromthesameancestorsandtheykeptevolvingasthesocietyadvances.Somespeciesdiedoutbutothersremainedtoliveontheearth,whichisstillimpossibletosolve.[C]Attheendoftheday,aresolutiontothe"OutofAfrica"debatemaybeimpossible,hesaid.Mostoftheevidencecanbeinterpretedassupportingbothhuman-originstheories."It'sreallyhardtofindthetwo,"Hawkssaid.[D]Thisstudy"addsastronglineofevidencetotheOutofAfrica(hypothesis)usingsuchmorphology,"saidpaleontologistWillHarcourt-SmithoftheAmericanMuseumofNaturalHistoryinNewYork.Harcourt-Smithwasnotinvolvedinthecurrentresearch.[E]Debateovertheoriginsofmodernhumanshassimmeredamonganthropologistsforyears,withonetheoryassertingthatHomosapiensmigratedacrosstheworldfromasinglepointinAfrica.TheothertheorystatesthatmultiplepopulationsofHomosapiensindependentlyevolvedfromHomoerectusinregionsbeyondAfrica.[F]TherecentstudywasfundedbytheBiotechnologyandBiologicalSciencesResearchCouncil.Ithasprovidedconclusiveevidenceconcerningtheactualprocessofhumanevolution.[G]"Wehavecombinedourgeneticdatawithnewmeasurementsofalargesampleofskullstoshowdefinitelythatmodernhumansoriginatedfromasingleareainsub-SaharanAfrica,"saidleadresearcherAndreaManicaoftheUniversityofCambridge.41.______42.______43.______44.______45.______
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