填空题已知∫ -∞ +∞ e k|x| dx=1，则k=________．

填空题设α1，α2，α3是非齐次线性方程绀Ax=b的解，α=α1+aα2-3α3，则α是Ax=b的解的充分必要条件为a=______，α是齐次线性方程组Ax=0的解的充分必要条件为a=______．

填空题曲线y=的过原点的切线是________。

填空题 设是4阶初等矩阵，则等于_____________________

填空题设随机变量X，Y相互独立且都服从二项分布B(n，p)，则P{min(X，Y)=0}=______．

填空题函数的定义域为__________. 

填空题设z=x3y+2xy2-x，则

填空题已知A是3阶非零矩阵，若矩阵使得AB=0，又知A+3E不可逆，则秩r(A)+r(A+E)=______．

填空题设f(u)连续，且du(x，y)=f(xy)(ydx+xdy)，则u(x,y)=______．

填空题设f(3x+1)=，则∫01f(x)dx=________．

填空题设，且f(0)=0，则f(x)=________。

填空题设F(x)为lnx2的原函数，则=________。

填空题设随机变量X服从参数为λ的指数分布，且E[(X-1)(X+2)]=8，则λ=______．

填空题曲线9y 2 =4x 3 上从x=0到x=1的一段弧的长度为_______

填空题 若f'(ex)=1+e2x，且f(0)=1，则f(x)=______．

填空题D是圆周x2+y2=Rx所围成的闭区域，则=________。

填空题方程组x 1 +x 2 +x 3 +x 4 +x 5 =0的基础解系是_________．

填空题设 L 为连接点(-1,0)，(0,1) 的直线段，对弧长的曲线积分

填空题二重积分________.

填空题[A]Evenastherobotsdotheirwork(officialsshouldknowwithinadaywhethertherobotsweresuccessful),BPispreparingtodrillareliefwellintowhichtheoriginalwellwouldempty.Thatcouldallowthecompanytoinjectaheavyfluidintothebrokenwellthatwouldslowandeventuallystoptheflowofoil.Oncetheleakisstanched,BPcouldpermanentlysealthefirstwell.[B]TheexplosionontheDeepwaterHorizonoilriglastweekintheGulfofMexicowaswithoutquestionahumantragedy.ThedayaftertherigfinallysankonApril22,theCoastGuardcalledoffthesearchforthe11workerslostduringtheaccident.[C]ButtheGulf's$2.4billionfishingindustrycouldbeimperiledbyamajorspill,ascouldtourismupanddowntheGulfCoastandpotentiallytheFloridapanhandle(狭长地带)."Wearebeingvery,veryaggressive,"saidTonyHayward,theCEOofBP,whichexpectstospendsome$100milliononthecleanup."Thisisthebiggestresponsebyanyoneintheindustryever,andwe'reabletodoitbecauseweplannedforit.Wewillbejudgedbyourresponse."[D]Nowtheaccidentthreatenstobecomeanenvironmentaltragedyaswell.Despiteearlyhopesthattheoilspillcouldbeminimized,therig'sfractureddrillingpipeiscurrentlyleaking42,000gal.ofcrudeaday.Theresultisanoilslickonthesurfaceofthewater,coveringmorethan1,800sq.miles,nowjust20milesfromthedelicateGulfcoastline.Dependingonwindconditions,oilcouldbeginwashingupontheshoreasearlyasthisweekend.[E]TheCoastGuardandtheenergygiantBP,whichoperatedthesunkenrigandisresponsibleforthecleanup,havelaunchedamassiveoperationtocontainthespill—anunusualchallenge,consideringthecomplexityofunderwaterdrilling.First,remote-controlledrobotsubmarineshavebeendeployedtotrytosealofftheoilwellaltogetherbyactivatingamassivedevicecalledablowoutpreventer.Ifthe450-tonvalveatthewellheadcanbeturnedon,theoilflowshouldstop,andthespillcouldbeendedquickly.Buttheoutcomeisfarfromguaranteed;robotshaveneverbeenusedinanoperationofthismagnitudenoratthisdepth—some5,000ft.belowthesurfaceoftheocean.[F]Cleanuphasalreadybeenunderway.Vesselsaredragginglongbooms(拦油栅)tocorraltheoilonthesurface—whichisstillathinslick,notyetathicktar—whitetheplanesspraychemicaldispersantsthatcanseparatethecrudefromthewater.CoastGuardofficialssaidtheywouldconsideracontrolledburnoftheoil.Poolsofoilwouldbetrappedincontainmentboomsandsetonfire.Theburningoilwouldalsocreateaplumeofsmokeandairpollution,whichcouldaffectflyingbirds.ButaccordingtotheNationalOceanicandAtmosphericAdministration,marinewildlifewouldbelessharmedbyaburningareaoftheoceanthanbyexposuretoanoilslick.[G]Buttheentireoperationwouldlikelytakemonths,duringwhichtimetheoilwouldkeepspilling.SoBPisalsopreparingtobuildamassivedomethatcouldbeplacedovertheoilleaks—whichareemanatingfromapipethatconnectsthewelltothesunkenrig—andactuallycollecttheleakingcrude.Theonlyproblemisthatsuchanenterprisehasneverbeenattemptedindeepwater,anditwouldtakeatleasttwoweekstobeputinplace.