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四棱锥P﹣ABCD中,PD⊥平面ABCD,AB⊥AD,AD∥BC,AB=1,AD=2BC=,PD=. (1)求证:平面PBD⊥平面PAC; (2)M为棱PB上异于B的点,且AM⊥MC,求直线AM...
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高三下学期数学《》真题及答案
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[2012·湖南卷]如图1-7在四棱锥P.-ABCD中PA⊥平面ABCD底面ABCD是等腰梯形AD∥
如图所示在四棱锥P.﹣ABCD中PA⊥底面ABCDAB⊥ADAC⊥CD∠ABC=60°PA=AB=B
如图在四棱锥PABCD中底面ABCD是菱形∠DAB=60°PD⊥平面ABCDPD=AD=1点E.F分
如图四棱锥P.﹣ABCD的底面ABCD为矩形PA⊥底面ABCDAD=AP=2AB=2E.为棱PD的中
如图所示在四棱锥P.-ABCD中底面ABCD是矩形PA⊥平面ABCDPA=AD=2AB=1BM⊥PD
.如图四棱锥P.﹣ABCD中底面ABCD是矩形AB=2ADPD⊥底面ABCDE.F.分别为棱ABPC
2011·高考课标全国卷如图四棱锥P-ABCD中底面ABCD为平行四边形∠DAB=60°AB=2AD
如图四棱锥P.﹣ABCD中底面ABCD为矩形平面PAD⊥平面ABCD.1求证AB⊥PD2若M.为PC
如图四棱锥P.—ABCD中底面ABCD为平行四边形∠DAB=60°AB=2ADPD⊥底面ABCD.Ⅰ
如图所示在四棱锥P—ABCD中底面ABCD为矩形PA⊥平面ABCDPA=AD=2AB=2M.为PD上
如图所示在四棱锥P—ABCD中底面ABCD为矩形PA⊥平面ABCDPA=AD=2AB=2M.为PD上
如图在四棱锥P.-ABCD中PD⊥平面ABCDPD=DC=BC=1AB=2AB∥DC∠BCD=90°
如图四棱锥P.-ABCD中底面ABCD为平行四边形∠DAB=60°AB=2ADPD⊥底面ABCD.1
如图在四棱锥P.—ABCD中PA⊥底面ABCDAB⊥AD∠ABC=60°PA=AB=BCAD=ABE
如图在四棱锥P.-ABCD中底面ABCD是矩形已知AB=3AD=2PA=2PD=2∠PAB=60°.
如图在四棱锥P.﹣ABCD中已知PA⊥平面ABCDAD∥BCAD⊥ABPA=AD=2BC=2AB=2
如图在四棱锥P―ABCD中侧面PAD⊥底面ABCD侧棱PA=PD=底面ABCD为直角梯形其中BC∥A
在四棱锥P-ABCD中底面ABCD为正方形PD⊥平面ABCDEF分别为棱ADPB的中点且PD=AD.
如图在四棱锥P.-ABCD中ABCD为平行四边形且BC⊥平面PABPA⊥ABM.为PB的中点PA=A
如图在四棱锥P-ABCD中PA⊥平面ABCDAB⊥ADAC⊥CD∠ABC=60°PA=AB=BCE.
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已知函数fx=3x2则fx在x=3处的导数为
已知双曲线=1a>0b>0的一条渐近线方程为y=-2x则此双曲线的离心率为
已知函数fx=3x2则fx在x=3处的导数为
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用数学归纳法证明“1-+-+…+=n∈N*”第一步应验证的等式是从“n=k”到“n=k+l”左边需增加的代数式是
已知向量=x11=410||=则x=•=.
已知双曲线=1a>0b>0的一条渐近线方程为y=-2x则此双曲线的离心率为
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已知a>b>0则下列不等式正确的是
已知F为抛物线y2=4x的焦点过点F且斜率为1的直线交抛物线于AB两点设|FA|>|FB|则=.
如图F是椭圆C=1a>b>0的右焦点直线ABx-2y+2=0与椭圆C相切于点A Ⅰ若a=求b Ⅱ若||=||=0求椭圆C的方程.
已知椭圆C1m2x2+y2=10<m<1与双曲线C2n2x2-y2=1n>0有共同的焦点e1e2分别为C1C2的离心率则e1•e2的取值范围是
已知向量=x11=410||=则x=•=.
用数学归纳法证明“1-+-+…+=n∈N*”第一步应验证的等式是从“n=k”到“n=k+l”左边需增加的代数式是
已知椭圆C1m2x2+y2=10<m<1与双曲线C2n2x2-y2=1n>0有共同的焦点e1e2分别为C1C2的离心率则e1•e2的取值范围是
已知则=
如图FA⊥平面ABC∠ABC=90°EC∥FAFA=3EC=1AB=2AC=4BD⊥AC交AC于点D. Ⅰ证明FD⊥BE Ⅱ求直线BC与平面BEF所成角的正弦值.
设函数fx=的定义域为A值域为B则A∪B=
若函数fx=mx3+2x2-3x-1存在单调递增区间则实数m的值可以为
已知F为抛物线y2=4x的焦点过点F且斜率为1的直线交抛物线于AB两点设|FA|>|FB|则=.
若函数fx=mx3+2x2-3x-1存在单调递增区间则实数m的值可以为
复数z=1-ii为虚数单位的虚部为
已知a>b>0则下列不等式正确的是
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Tinyastheyarebatshavetheabilitytoseeinthedarkbyusingaspecialskillcalledecholocation回声定位法.Theymakenoisesandwaitforsoundwavesoranechotobounce反弹backoffobjects.Theycantellthedistanceofvariousobjectsbyhowquicklythesoundwavesbouncebackoffthem.Ifnosoundbouncesbacktheycanthenflyforward. Thisspecialabilityhasbeensimulatedinthehumanworldforalongtimesuchasinsubmarinesandplaneswhosesonar声呐systemsaresomewhatsimilartoecholocation.Butapartfromhelpingvehiclesseewheretheyarewhatifblindpeoplecoulduseecholocationforthemselves?Itturnsoutsomealreadyare. AmericanDanielKishwhoisblindisknownasBatman.Thisisn'tbecausehewalksaroundinacape披风andamaskbutbecausehehasabat﹣likeabilitytolocatewhereheisthroughsharpclickshemakesbymovinghistongueagainsttheroofofhismouth.Kishissoskilledatecholocatingthathecanrideabikeandhikeonhisown. RecentlyresearchcarriedoutattheUniversityofDurhaminEnglandshed揭示somelightonthepowerofhumanecholocation. Kishworkedwithagroupofscientistswhostudiedthewayblindpeoplelistentotheechoesthattheyproducefromclicks. Theteamwhichconductedexperimentswithothervolunteersfoundthatpeoplewerecapableofhearingevenveryfaintechoesonesfarfainterthanhadbeenpreviouslythought. SpeakingtoTheIndependentLoreThalerleadscientistofthegroupsaidWefoundthatinsomeconditionstheywerereallyfaint﹣about95percentsofterthantheactualclicksbuttheecholocatorswerestillabletosensethis. AndrewKolarikoftheUniversityofCambridgeisanotherexpertinecholocation.ReactingtotheDurhamstudyhetoldBBCNewsthatecholocationcanbeveryusefulatprovidinginformationatfaceorchestheightandcouldhelppeopleavoidobjectslikelowhangingbranchesthatmightnotgetdetectedbythecane盲杖oraguidedog. AlthoughKish'sskillisremarkablethere'shopeforotherblindpeoplewhowanttouseecholocation.AccordingtoBBCNewsecholocationisaskillblindpeoplecanacquireanddevelopjustlikelearningalanguage.AsKolariksaidTeachingecholocationskillscouldprovideblindpeoplewiththemeansofexploringnewplaces. 1TheunderlinedwordsimulatedinParagraph2probablymeans. A.copied B.discovered C.improved D.challenged 2HowdoesKishlocatewhereheis? A.Byusinghisgreatsenseofhearing B.Bylisteningtotheechoesproducedbyhiscane. C.Viathesonarsystemattachedtohisbody. D.Viatheechoesfromtheclickshemakeswithhistongue. 3WhatdidLoreThaler'steamfindfromtheirstudies? A.Itishardforecholocatorstosensefaintechoes. B.Humanscanecholocatebetterthanwethoughtwecould. C.Echolocatorscanpickupalltypesofechoes. D.Blindpeoplearebetterecholocatorsthanthosewhocansee. 4Accordingtothearticleteachingecholocationtoblindpeople. A.isnoteasytoputintopractice B.willenablethemtogetridoftheircane C.willopenupnewpossibilitiesforthem D.willimprovetheirabilitytolearnanewlanguage 5Whatisthearticlemainlyabout? A.Differenttypesofhumanecholocation. B.Theimportanceofhumanecholocation. C.Studiesonblindpeopleusingecholocation. D.Whybats'echolocationcouldbeusedbyhumans.
复数z=1+2i的共复数是则z•=
如图FA⊥平面ABC∠ABC=90°EC∥FAFA=3EC=1AB=2AC=4BD⊥AC交AC于点D. Ⅰ证明FD⊥BE Ⅱ求直线BC与平面BEF所成角的正弦值.
如图F是椭圆C=1a>b>0的右焦点直线ABx-2y+2=0与椭圆C相切于点A Ⅰ若a=求b Ⅱ若||=||=0求椭圆C的方程.
复数z=1-ii为虚数单位的虚部为
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