填空题设a1，a2，…，am为正数(m≥2)，则

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=________．

填空题设f(x)在积分区间上连续，则=______．

填空题设函数f(x)=在x=0处连续，则a=__________．设函数f(x)=在x=0处连续，则a=__________．

填空题函数的间断点的个数为______．

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.______

填空题ylnxdx+xlnydy=0的通解是______．

填空题设A为三阶正交阵，且|A|＜0，|B-A|=-4，则|E-AB T |=______.

填空题微分方程满足的特解_______ 

填空题设y=y(x)由方程x2+xy2+2y=1确定，则dy=______．

填空题设z=xyyx，则________．

填空题 设阶可逆矩阵的每行元素之和为，则数__________一定是的特征值(为阶单位矩阵)

填空题设f(x)在(-∞，+∞)上可导，，又，则a=________．

填空题设z=(1+x2y)xy2，则

填空题设f(x)在x=0处连续，且，则曲线f(x)在点(0，f(0))处的切线方程为________。

填空题(x2+y2)dxdy=________．

填空题已知f'(sinx)=cos2x，则f(x)=______

填空题设A为三阶实对称矩阵，α 1 =(m，-m，1) T 是方程组AX=0的解，α 2 =(m，1，1-m) T 是方程组(A+E)X=0的解，则m=______．

填空题在雅典奥运会上，中国奥运健儿共获得32枚金牌，那么，中国奥运健儿在个人项目中获得金牌为18枚．(1)在双人和团体项目中获得金牌数与在个人项目中获得金牌数的比是9:7；(2)在双人和团体项目中获得金牌数与在个人项目中获得金牌数的比是．

填空题设函数f，g均可微，z=f(xy，lnx+g(xy))，则