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已知f(x)=|﹣a|(x>1,a>0),若a=a0,f(x)与x轴交点为A,f(x)为曲线L,在L上任意一点P,总存在一点Q(P异于A)使得AP⊥AQ且|AP|=|AQ|,则a0= .
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高三下学期数学《》真题及答案
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已知函数fx=x+mlnx在点1f1处的切线与直线y=2x﹣3平行.1求fx在区间[e+∞上的最小值
已知函数fx的定义域为0+∞当x∈01时fx>0且xy∈0+∞时总有fx•y=fx+fy1求证f=f
已知偶函数fx在[0+∞上单调递减f2=0.若fx-1>0则x的取值范围是________.
已知随机变量X的分布函数为Fx概率密度为fx当x≤0时fx连续且fx=Fx若F0=1则Fx=____
已知函数fx=ax2+bx+ca>0b∈Rc∈R.Ⅰ若函数fx的最小值是f﹣1=0且c=1又求F2+
已知函数fx=|x-1|.Ⅰ解不等式fx+fx+4≥8Ⅱ若|a|
已知fx=ax2+bx+c若f0=0且fx+1=fx+x+1求函数y=fx的解析式.
设向量=1x=x1若•=﹣||•||则x=.
已知函数fx=axlnxx∈0+∞其中a>0且a≠1f′x为fx的导函数若f′1=3则a的值为___
已知fx是R.上的单调函数且对a∈R有f-a+fa=0恒成立若f-3=2.1试判断fx在R.上的单调
已知fx=x≠a.1若a=-2试证:fx在-∞-2上单调递增.2若a>0且fx在1+∞上单调递减求a
已知函数fx=gx=x.1若存在x∈[0+∞使得fx≥gx成立求实数a的取值范围2在a>0的条件下若
已知函数fx=ax0
0
1
2
3
已知函数fx=若|fx|≥ax则a的取值范围是.
已知fx=x≠a.1若a=-2试证fx在-∞-2内单调递增2若a>0且fx在1+∞内单调递减求a的取
已知函数fx=若f﹣1=f1则实数a的值为
1
2
0
﹣1
已知函数fx=其中ab满足a·b≠0.1若a·b>0判断函数fx的单调性2若a·bfx时的x的取值范
已知函数1若a=-1求函数fx的单调增区间2若x∈[0π]时函数fx的值域是[58]求ab的值.
已知函数fx=2﹣ax﹣1﹣2lnxgx=xe1﹣x.a∈Re为自然对数的底数Ⅰ当a=1时求fx的单
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Asimplelifemeansgettingridofmanyofthethingsyoudosothatyoucanspendmoretimewithpeopleyouloveanddothethingsyoulove.1It'softenajourneyoftwostepsforwardandonebackward. Evaluateyourtime.2Whatthingsdoyoudofromthetimeyouwakeuptothetimeyougotosleep?Makealistandevaluatewhetherthey'reinlinewithyourpriorities.Ifnotremovethemandfocusonwhat'simportant.Redesignyourday. Limityourcommunications.OurlivesthesedaysarefilledwithavastflowofcommunicationsemailcellphonespapermailTwitterforumsandmore.3Insteadsetalimitonyourcommunicationsonlydealwithemailsatcertaintimesoftheday.Limitphonecallstocertaintimestoo.Itisthesamewithothercommunications.Setascheduleandsticktoit. Trylivingwithoutacar.OKthisisn'tsomethingI'vedonebutmanyothershave.4Walkbikeortakepublictransportation.Itreducesexpensesandgivesyoutimetothink.Acarisalsoverycomplicatedneedingnotonlycarpaymentsbutinsurancemaintenancerepairsgasandmore. 5Ifyouridyourhomeofstuffyoumightfindyoudon'tneedsomuchspace.I'mnotsayingyoushouldliveonaboatalthoughIknowsomepeoplewhohappilydosobutifyoucanbecomfortableinasmallerhomeitwillnotonlybelessexpensivebuteasiertomaintainandgreatlysimplifyyourlife. A.Considerasmallerhome. B.Haveaplaceforeverything. C.Howdoyouspendyourday? D.It'ssomethingIwoulddoifIdidn'thavekids. E.Theycantakeupyourwholedayifyouletthembe. F.Howevergettingtosimplicityisn'talwaysasimpleprocess. G.Mostpeopledon'tknowwhatenoughisandthustheykeepbuyingmore.
某日ABC三个城市18个销售点的小麦价格如表 Ⅰ甲以B市5个销售点小麦价格的中位数作为购买价格乙从C市4个销售点中随机挑选2个了解小麦价格.记乙挑选的2个销售点中小麦价格比甲的购买价格高的个数为X求X的分布列及数学期望 Ⅱ如果一个城市的销售点小麦价格方差越大则称其价格差异性越大.请你对ABC三个城市按照小麦价格差异性从大到小进行排序只写出结果.
在平面直角坐标系xOy中以原点O为极点x轴的正半轴为极轴建立极坐标系曲线C1的参数方程为θ为参数曲线C2的极坐标方程为ρcosθ﹣ρsinθ﹣4=0. 1求曲线C1的普通方程和曲线C2的直角坐标方程 2设P为曲线C1上一点Q为曲线C2上一点求|PQ|的最小值.
TwoofthesaddestwordsintheEnglishlanguageareifonly.Ilivemylifewiththegoalofneverhavingtosaythosewordsbecausetheyconveyregretlostopportunitiesmistakesanddisappointment. MyfatherisfamousinourfamilyforsayingTaketheextraminutetodoitright.Ialwaystrytolivebytheextraminuterule.WhenmychildrenwereyoungandlikelytocauseaccidentsIalwaysthoughtaboutwhatIcoulddotoavoidanifonlymomentwhetheritwassomethingminorlikemovingacupfullofhotcoffeeawayfromtheedgeofacounterorsomethingthatrequiredalittlemoreworksuchastapingpadding衬垫ontothesharpcornersofaglasscoffeetable. Idon'tonlyavoidthoseifonlymomentswhenitcomestosafety.It'sequallyimportanttoavoidifonlyinourpersonalrelationships.WeallknowpeoplewholostalovedoneandregrettedthattheyhadforegoneanopportunitytosayIloveyouorIforgiveyou.WhenmyfatherannouncedhewasgoingtotheeyedoctoracrossfrommyofficeonGoodFridayItoldhimthatitwasaholidayformycompanyandIwouldn'tbehere.ButthenIthoughtaboutthefactthathe's84yearsoldandIrealizedthatIshouldn'tgiveupanopportunitytoseehim.IcalledhimandtoldhimIhaddecidedtogotoworkonmydayoffafterall. IknowtherewillstillbeoccasionswhenIhavetosayifonlyaboutsomethingbutmylifeisdefinitelybetterbecauseofmypolicyofdoingeverythingpossibletoavoidthateventuality.AndeventhoughittakesanextraminutetodosomethingrightoritoccasionallytakesanhourortwoinmybusyscheduletomakeapersonalconnectionIknowthatI'mdoingtherightthing.I'mbuyingmyselfpeaceofmindandthat'sthebestkindofinsuranceformyemotionalwell﹣being. 1Whichofthefollowingisanexampleoftheextraminuterule? A.Startthecarthemomenteveryoneisseated. B.Leavetheroomforaminutewiththeironworking. C.Moveanobjectoutofthewaybeforeittripssomeone. D.Waitforanextraminutesothatthesteaktastesbetter. 2TheauthordecidedtogotoherofficeonGoodFridayto. A.meetherfatherwhowasalreadyanoldman B.keepherappointmentwiththeeyedoctor C.joinintheholidaycelebrationofthecompany D.finishherworkbeforethedeadlineapproached 3TheunderlinedwordforegoneinParagraph3isclosestinmeaningto. A.wasted B.lacked C.avoided D.abandoned 4Whatisthebesttitleforthepassage? A.TheTwoSaddestWords B.TheEmotionalWell﹣being C.TheMostUsefulRule D.ThePeaceofMind
如图在四棱锥P﹣ABCD中AC⊥BDAC∩BD=OPO⊥AB△POD是以PD为斜边的等腰直角三角形且OB=OC=OD=OA=1 1证明平面PAC⊥平面PBD. 2求二面角A﹣PD﹣B的余弦值.
设x为实数则“x<0”是“”的
Inoneofmycollegeclasseswewererequiredtodoanactofkindness.Myprojectincluded1lunchforanelderlyperson.WhenI2theelderlypersonwiththefoodIcookeditnever3tomethatitwouldresultinanewfriendshipandthediscoveryofa4. ThepersonIvisitedwasBillwhowasunableto5much.Anursecameregularlytohelphimmovetoandfromthewheelchairbecausehehasno6.Billsaidhewasdelightedtoseemeanditwasa7forhimtoeatamealwithmebecauseheusuallyeats8.Hesaidthefoodwasgreatbutheenjoyedhaving9evenmorethanthefood. Billhadhada10lifewhenworkingontherailroadandhadmany11storiestotellabouthistravelstomanyplaces.Iwas12atripbecauseofhisstories.Ihadonce13abouttravelingbytrain.HoweverIwould14begoingbytrainaftermeetingBill. Perhapsthebiggest15ofthisprojectwasthatIsuddenlyrealizedthatIam16ofworkingwiththeelderly.Spendingtimewiththemwasfun﹣theyhavesomuchlifeexperienceto17.OntheonehandIamagood18.Ontheotherhandolderpeoplewantsomeonetoknowtheirinnerworldsoitisaperfect19.Idecidedtofocusmystudiesonthe20.HopefullyinthefutureIwillworkwiththemtohelpevenmorepeoplelikeBill. 1A.buying B.delivering C.packing D.preparing 2A.calledon B.cameacross C.pickedup D.turnedto 3A.happened B.appealed C.occurred D.proved 4A.travelplan B.careerpath C.holidaydestination D.cookingskill 5A.talk B.eat C.sit D.walk 6A.money B.relatives C.neighbours D.time 7A.treat B.fancy C.privilege D.waste 8A.slowly B.little C.alone D.unhappily 9A.family B.company C.fun D.health 10A.painful B.hopeful C.peaceful D.colorful 11A.adventurous B.fresh C.absorbing D.satisfying 12A.intending B.pretending C.allowing D.requiring 13A.argued B.hesitated C.thought D.cared 14A.unbelievably B.undoubtedly C.unexpectedly D.unhurriedly 15A.aim B.impression C.problem D.bonus 16A.aware B.proud C.fond D.certain 17A.share B.discuss C.treasure D.gain 18A.student B.cook C.learner D.listener 19A.choice B.deal C.match D.game 20A.old B.poor C.disabled D.homeless
以棱长为1的正方体各面的中心为顶点构成一个正八面体再以这个正八面体各面的中心为顶点构成一个小正方体那么该小正方体的棱长为
假定英语课上老师要求同桌之间交换修改作文请你修改你同桌写的以下作文.文中共有10处语言错误每句中最多有两处.错误涉及一个单词的增加删除或修改. 增加在缺词处加一个漏字符号∧并在其下面写出该加的词. 删除把多余的词用斜线\划掉. 修改在错的词下划一横线并在该词下面写出修改后的词. 注意1.每处错误及其修改仅限一词. 2.只允许修改10处多者从第11处起不计分. March5thisadayinhonorofLeiFengwhopeoplearecalledontohelpothers.OnthemorningofthatdaythisyearourclassmettheschoolgateandwenttoaHopePrimarySchoolbythebus.Uponarrivingtheretheygaveusawarmlywelcome.Wegavethestudentssomebooksfoodorclothes.Andthenweplayedseveralgamewiththemandtoldthemstories.Beforeweleavewetookaphotowiththem.Seetheirsmilingfaceswebothfeltasenseofhappiness.Wearrivedhomeandpromisedtogobackwheneverpossible.Howanunforgettableexperienceitwas!
OnNovember7LewisPughcompletedaone﹣kilometerswiminthefreezingwatersofKingEdwardCoveoffSouthGeorgiainAntarctica.Hewaswearingonlyhisswimmingglassescapandspeedos! Pughisanadvocateforouroceansandseasworkingtoprotecttheseecosystemwiththeirlargediversityofmarinelife.Whenaskedwhyhedoesn'twearawetsuitLewissaysIaskworldleaderstodoeverythingtheycantoprotectouroceans.Sometimesthestepstheyneedtotakearedifficultandunpopular.IfI'maskingthemtobecourageousImustalsobe.Swimminginawetsuitwouldnotsendtherightmessage. IttookPughabout19minutestocompletetheone﹣kilometerswiminAntarcticawherethewateraveragedabout1.6degreesCelsius.Hesaysthathisbodycanonlytolerateabout20minutesinthefreezingwatersbeforeitstartsshuttingdown.Asheswimshisbodytemperaturesteadilydropswhichinturncauseshismusclecontroltodropslowinghimdown.Whenheisdonewithhisswimhissupportteamrusheshimtoahotshowerandittakesalmostanhourforhisbodytemperaturetoreturntonormal. DoctorsandPughcautionthatonemustreceivemonthsoftrainingtoswiminsuchcoldwaters.Evenexpertswimmerswhoareunusedtofreezingwatercandrownwithinminutesbecauseofthephysicalshockexperiencedbythebody.Pughsayshetrainedforsixmonthsbeforethisswim. ThisisnotthefirsttimethatLewishasswumindangerousconditions.In2007heswamonekilometerintheNorthPoletodrawattentiontothemeltingArcticiceduetoclimatechange.In2015heswamintheBayofWhalesinAntarctica'sRossSeaaspartofhissuccessfulcampaigntohelpsetupamarinereservethere. 1WhydidLewisPughswimwithoutawetsuit? A.Toswimfaster. B.Toshowhisbravery. C.Tobuilduphisbody. D.Towinpublicattention. 2WhatdoestheunderlinedworditinParagraph3referto? A.Hisbody. B.Thewater. C.Hisbodytemperature. D.Thewatertemperature. 3What'sPugh'sadviceaboutswimminginfreezingwaters? A.Onemustbefullyprepared. B.Oneshouldbeexpertatswimming. C.Oneshouldbereadytotakeonchallenges. D.Onemustbeusedtolong﹣distanceswimming. 4Whatmaybethebesttitleforthetext? A.LewisPughswimmingforacause B.Howtosurviveaswimincoldwaters C.Howtoprepareforextremeswimming D.LewisPughachievingtheimpossible
已知a=40.3c=2log62则abc的大小关系是
过抛物线y2=4x焦点F的直线交抛物线于AB两点分别过AB作准线l的垂线垂足分别为CD.若|AF|=4|BF|则|CD|=.
已知函数fx=若ff0=3a则实数a等于
函数fx=Asinωx+φA>0ω>0﹣π<φ<0x∈R的部分图象如图所示. I求函数y=fx的解析式 II当x∈[﹣2π0]时求fx的最大值最小值及取得最大值最小值时相应x的值.
Haveyoucomplained1yourfamilyyourbossorevenyourlife?Maybeeveryonehasbutafterreadingthisstoryyoumaychangeyourviewandtreattheworldwithanotherattitude. Anass驴2belongtoanherb﹣sellerwhogavehimtoolittlefoodandtoomuchworkcouldnotbearthelifeanylonger.SohemadearequesttoGodtobereleasedfromhispresentserviceandprovidedwith3master.Afterwarninghim4hewouldregretdoingitGodmadehimtobesoldtoatile﹣maker.Shortlyafterwardstheassfoundthathehad5heavyloadstocarryandharderworkinthebrick﹣fieldandaskedforanotherchangeagain.Godtellinghimthatitwouldbe6lasttimethathecouldsatisfyhisrequestmadehimsoldtoatanner皮革工.Theassfoundthathe7fallintoworsehands.Knowinghisnewmaster'soccupationhesaidItwouldhavebeenbetterformeeithertohavebeenstarvedbythefirstowner8tohavebeenoverworkedbythesecond.ButnowIhavealreadybeenboughtbymypresentowner9willpeeloffmyskinevenafterIamdeadandmakemeuseful. Wecanseethatpeoplewithdissatisfactioninaplacearenot10liketofindhappinessinanother.
某几何体的三视图如图所示则该几何体的体积为
Organic有机的farmingisatypeofagriculturethatbenefitsfromtherecyclinganduseofnaturalproducts.Useofdriedplantsnotonlysavesmoneybutalsoensuresthegrowthofcrops.Thetechniqueischaracterizedbytheuseofgreenmanure肥料biologicalpestcontrolmethodsandspecialfarmingtechniquestokeepsoilproductive.Limitingtheuseofman﹣madechemicalsorcompletelydoingawaywiththemreducestheriskofdiseases.Todayorganicfarmingisamajorandpreferredindustryaroundtheworld.Organicallygrownfoodproductshaveahugemarketwithfarmlandscoveringabout10%ofthetotalworld﹣farmlandcover.ThehardworkofSirAlbertHowardtheFatherofOrganicFarminghaspaidoff. AdvantagesofOrganicFarming 1Theeconomicsoforganicfarmingarecharacterizedbyincreasingprofitsthroughreducedwateruseandreducedsoilerosion侵蚀. 2Organicfarmingproducesthesamecropsasthoseproducedthroughtraditionalfarmingmethodsbutuseshalftheenergyandholds40%moretopsoil 3Farmingtheorganicwayenablesfarmerstogetridofweedswithouttheuseofanychemicals. 4Theuseofgreenpesticides杀虫剂isenvironmentallyfriendlyanddoesnoharmtohuman'shealth. DisadvantagesofOrganicFarming 1Organicmethodsoffarmingproducelesscomparedtotraditionalfarmingtechniques. 2Organicagriculturedoeslittletofightglobalclimatechange.ThoughorganicfarmingpracticesarerecognizedasgivingoutlessCO2butnottoasignificantdegree. Howeverthoughtherearesomedisadvantagesoforganicfarmingfarmswhereorganicmethodsforcroppinghavebeenusedhavemoreadvantagesthantraditionalfarms.Organicagricultureissurelybetterinthelongterm. 1TheunderlinedsentenceinParagraph1showsthatSirAlbertHoward. A.workedhardfornothing B.succeededinorganicfarming C.spentallhistimeonorganicfarming D.didn'texpectorganicfarmingtobesuccessful 2Accordingtothepassagecomparedtotraditionalfarmingorganicfarming. a.ismoreenvironmentallyfriendly b.producesalotmorefood c.useslessenergy d.resultsinmoreweedsinthefarmland e.isbetterforhuman'shealth A.abc B.acd C.ace D.bce 3Theauthor'sattitudetowardsorganicfarmingis. A.anxious B.hopeless C.unclear D.optimistic 4Thewriterwrotethispassagetotellus A.thedevelopmentofagriculture B.whatkindoffoodisbeinggrownatpresent C.whyorganicfarmingissopopulararoundtheworld D.whatorganicfarmingisanditsadvantagesanddisadvantages
已知四边形的顶点ABCD在边长为1的正方形网格中的位置如图所示则=.
目前你校有许多学生因为各种原因很少参加体育锻炼假定你是张华请你就此事向你校英语报写一封信倡导同学们积极参与体育锻炼. 内容包括 1.学生们不参加体育活动的原因 2.进行体育活动的好处. 注意 1.词数100左右 2.可以适当增加细节以使行文连贯 3.文章开头和结尾语已给出不计入总词数. Dearschoolmates Nowadaysmoststudentsdon'tdosportsforkindsofreasons.
设复数z满足1+iz=2i则|z|=
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在三棱锥A﹣BCD中AC=BD=3AD=BC=4AB=CD=m则m的取值范围是
已知a1a2…an…是由正整数组成的无穷数列对任意n∈N*an满足如下两个条件 ①an是n的倍数 ②|an﹣an+1|≤5. Ⅰ若a1=30a2=32写出满足条件的所有a3的值 Ⅱ求证当n≥11时an≤5n Ⅲ求a1所有可能取值中的最大值.
TimeTravel Ifyoucouldtravelintimewherewouldyougo?PerhapsyouwouldwatchanoriginalperformanceofaShakespeare'splayinElizabethanEngland?WhatabouthangingoutwithLaoziintheSpringandAutumnPeriod?Ormaybeyou'dvoyagefaraheadofthepresentdaytoseewhatthefutureholds. Thepossibilityoftimetravelisindeedappealing.Storiesexploringthesubjecthavebeenaroundforhundredsofyears.Perhapsthebestknownexampleissciencefictionnovel.TheTimeMachinewhichwaswrittenbyH.G.Wellsandpublishedin1895forthefirsttime.Itwasadaptedintoatleasttwofeaturefilmsofthesamenameaswellastwotelevisionversionsandalargenumberofcomicbookadaptations.Itisgenerallycreditedwiththepopularizationoftheconceptoftimetravelusingavehiclethatallowsanoperatortotravelpurposefullyandselectively.ThetermtimemachinecoinedbyWellsisnowuniversallyusedtorefertoavehicletransportingpeopleintothefarfuture. Butcouldtimetravelactuallybepossible?Somescientistssayyesintheory.Theyproposeusingcracksintimeandspacecalledwormholeswhichcouldbeusedasshortcutstootherperiods.Einstein'stheoryofrelativityallowstimetravelinextremecircumstances.AndBritishphysicistStephenHawkingsaysyoucouldtravelintothefuturewithareallyfastspaceshipgoingatnearlythespeedoflight.Thoughbuildingsuchaspaceshipwouldofcoursebenosimpletask. Evenifyoucouldtravelintothepastthereissomethingcalledthegrandfatherparadox.Itaskswhatwouldhappenifatimetravelerweretogobackintimeandhavehisowngrandfatherkilledforsomereasonandthereforepreventhimselffrombeingborn.Ifthetimetravelerwasn'tbornhowwouldhetravelbackintime? Andwouldyoureallyliketovisitthefuture?InH.G.Wells'bookthemaincharactertravelsintodistanttimewherehearrivesatabeachandisattackedbygiantcrabs.Hethenvoyages30millionyearsintothefuturewheretheonlylivingthingisablackobjectwithtentacles触角. Ifthat'swhat'sinstoremaybewearebetterjustlivinginthepresentdayafterall. 1ThenovelTheTimeMachinementionedinParagraph2aimstoshow. A.thecontributionofH.G.Wells B.thestory'sdifferentfeatures C.thelonghistoryoftimetravel D.people'sinterestintimemachine 2Einstein'sandHawking'stheories. A.suggestthepossibilitytoinventthetimemachine B.pushtheinventionofthefirstspaceship C.haveprovedwrongbysometimetravelers D.havesimilaritiesinmanyway 3InParagraph4grandfatherparadoxprobablyreferstotheideathat. A.thetravelerispreventedfrommeetinghisgrandfather B.thegrandfather'sdeathmakesthetraveler'sbirthimpossible C.thetravelergoesbackintimetoseekforhisgrandfather D.thereunionofthetravelerandhisgrandfatherbringshappiness 4Accordingtothepassagewhatisprobablytheauthor'sattitudetowardstimetravel? A.Skeptical. B.Unclear. C.Supportive. D.Unconcerned.
已知log2x+log2y=1则x+y的最小值为.
已知mn是两条不同的直线αβγ是三个不同的平面有下列四个命题 ①若m⊥αm⊥β则α∥β ②若α∥γβ∥γ则α∥β ③若m⊂αn⊂βm∥n则α∥β ④若mn是异面直线m⊂αn⊂βn∥αm∥β则α∥β. 其中正确的命题有.填写所有正确命题的编号
在平面直角坐标系xOy中过A44B40C04三点的圆被x轴截得的弦长为
如图圆柱的底面半径为r球的直径与圆柱底面的直径和圆柱的高相等圆锥的顶点为圆柱上底面的圆心圆锥的底面是圆柱的下底面.则圆柱的表面积圆锥球圆柱的体积比分 别是
如图以正方形的各边为底可向外作四个腰长为1的等腰三角形则阴影部分面积的最大值是.
已知函数fx的定义域为[ab]函数y=fx的图象如下图所示则函数f|x|的图象是
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