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已知三棱锥D﹣ABC外接球的表面积为12π，△ABC是边长为1的等边三角形，且三棱锥D﹣ABC的外接球的球心O恰好是CD的中点，则三棱锥D﹣ABC的体积为（ ）
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高二下学期数学《》真题及答案
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在三棱锥ABCD中AB＝CD＝6AC＝BD＝AD＝BC＝5则该三棱锥的外接球的表面积为_______
已知三棱锥S﹣ABC△ABC是直角三角形其斜边AB=8SC⊥平面ABCSC=6则三棱锥的外接球的表
64π
68π
72π
100π
三棱锥P.﹣ABC三条侧棱两两垂直三个侧面面积分别为则该三棱锥的外接球表面积为
4π
6π
8π
10π
已知三棱锥D﹣ABC外接球的表面积为12π△ABC是边长为1的等边三角形且三棱锥D﹣ABC的外接球
已知P﹣ABC是正三棱锥其外接球O的表面积为16π且∠APO＝∠BPO＝∠CPO＝30°则三棱锥的
三棱锥P﹣ABC中底面△ABC满足BA=BC∠ABC=P在面ABC上的射影为AC的中点且该三棱锥的
80π
81π
8π
9π
三棱锥S.-ABC中SB⊥平面ABCSB=△ABC是边长为的正三角形则该三棱锥S.-ABC的外接球的
）3π （
）5π （
）9π （
）12π
已知三棱锥P﹣ABC外接球的表面积为100πPA⊥面ABCPA＝4∠BAC＝30°则该三棱锥体积的
已知正三棱锥P.－ABC的正主视图和俯视图如图所示则此三棱锥的外接球的表面积为
4π
12π
在正三棱锥S.―ABC中M.N.分别是SCBC的中点且MN⊥AM若侧棱则正三棱锥S.―ABC外接球的
12π
32π
36π
48π
三棱锥S﹣ABC中SA⊥底面ABCSA=3△ABC是边长为2的正三角形则其外接球的表面积为．
在三棱锥P﹣ABC中平面PAB⊥平面ABC△ABC是边长为6的等边三角形△PAB是以AB为斜边的等
64π
48π
36π
27π
三棱锥P﹣ABC中PA⊥平面ABCAC⊥BCAC＝BC＝1PA＝则该三棱锥外接球的表面积为．
三棱锥P﹣ABC中△ABC为等边三角形PA=PB=PC=2PA⊥PB三棱锥P﹣ABC的外接球的表面积
在三棱锥D﹣ABC中AB＝AC＝AD＝BC＝BD＝CD＝2则三棱锥D﹣ABC外接球的表面积为．
已知三棱锥P﹣ABC的底面ABC是边长为2的等边三角形PA⊥平面ABC且PA＝2则该三棱锥外接球的
20π
48π
已知三棱锥D-ABC中AB=AC=AD=BD=CD=6BC=9则三棱锥D-ABC的外接球的表面积为
已知在三棱锥S﹣ABC中SA⊥平面ABCAB⊥ACSA=3AB=AC=2则此三棱锥外接球的表面积为
35π
4π
9π
17π
在三棱锥S.﹣ABC中侧棱SC⊥平面ABCSA⊥BCSC=1AC=2BC=3则此三棱锥的外接球的表面
14π
12π
10π
8π
在三棱锥P﹣ABC中PA⊥ABAC⊥ABPA＝3AC＝4PC＝5且三棱锥P﹣ABC的外接球的表面积
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Ifyouarehavingtroublefallingasleepyouarenotalone.About65%ofAmericanssaidtheyhavesleepingproblemsafewnightseachweekaccordingtoarecentstudybytheNationalSleepFoundation.Sleepingtoolittlecanleadtoahigherriskofbecomingfatandgettingdepressed沮丧的.Butbeforeyougotoadoctorforadviceitisworthexaminingyoursleepinghabitsonemoretime.Someofyourfavoriteeveninghabitsmayhavesomethingtodowiththesleepingproblems. SettingaBrightAlarmClock Thelightofyourbrightalarmclockcanpreventyoufromfallingasleep.Youcanmakeyourroomasdarkaspossible.Coverthebrightnumberswithabookorconsiderbuyingasmalltravelclock.Yourcellphonealarmmayalsodothetrick. CountingSheep Whenyoujustcan'tfallasleepit'suselesstostayinbedtocountsheep.Ifyou'vebeentryingtofallasleepformorethan30minutestheNationalSleepFoundationsuggestsyougetuptodosomereadingorwatchTVforawhile.Suchactivitieswillmakeyousleepy.Beforeyouknowityou'llbegoingbacktobedreallytired. ExercisingLateatNight Daytimeworkouts锻炼willkeepyoufullofenergyforhours.That'swhyyoudon'twanttoexercisewithinthreehoursofhittingthesack.Fierce剧烈的physicalactivityraisesyourbodytemperatureandpumpsyourenergylevel﹣botharebadforagoodnight'ssleep. 1Whatcanwelearnfromthefirstsentenceofthepassage? A.It'snotgoodtofailtofallasleepatnight. B.Peopleinagoodcompanyoftenhavesleepingproblems. C.Therearemanypeoplewhohavesleepingproblems. D.Youshouldfindsomeonetotalktoifyoucan'tfallasleep. 2Theunderlinedparthittingthesackinthelastparagraphmeans. A.goingbackhome B.goingtobed C.goingtothegym健身馆 D.fallingasleep 3Bywritingthepasagethewritermainlywantstotellus. A.whysomanypeoplecan'tsleepwellatnight B.howtoenjoyagoodnight'ssleep C.thatsleepingproblemsaretroublingmoreandmorepeople D.thatpeoplemaysolvetheirsleepingproblemsbysomehabits
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位于湖南省西北部距离湖南省会长沙约300公里占地面积9563平方千米的张家界是一座因独特的自然景色和丰富的旅游资源而闻名的旅游城市.
Mostdogownersfeelthattheirdogsaretheirbestfriends.Almosteveryonelikesdogsbecausetheytryhardtopleasetheirowners.Oneofmyfavoritestoriesisaboutadogwhowantedtheownertopleasehim.OneofmyfriendshasalargeGermanshepherd牧羊犬namedJack.Thesedogsareoftenveryintelligentclever.EverySundayafternoonmyfriendtakesJackforawalkinthepark.Jacklikestheselongwalksverymuch. OneSundayafternoonayoungmancametovisitmyfriend.Hestayedalongtimeandhetalkedandtalked.SoonitwastimeformyfriendtotakeJackforhiswalkbutthevisitordidn'tleave.Jackbecameveryworriedabouthiswalkinthepark.Hewalkedaroundtheroomseveraltimesandthensatdowndirectlyinfrontofthevisitorandlookedathim.Butthevisitorpaidnoattention.Hecontinuedtalking.FinallyJakcouldn'tstanditanylonger.Hewentoutoftheroomandcamebackafewminuteslater.Hesatdownagaininfrontofthevisitorbutthistimeheheldtheman'shatinhismouth. Germanshepherdsaren'ttheonlyintelligentdogs.AnotherintelligentdogisaSeeingEyedog.Thisisaspecialdogthathelpsblindpeoplewalkalongthestreetsanddomanyotherthings.WecallthesedogsSeeingEyedogsbecausetheyaretheeyesoftheblindpeopleandtheyhelpthemtosee.SeeingEyedogsgenerallygotospecialschoolsforseveralyearstolearntohelpblindpeople. 1Jackcametositinfrontofthevisitorinorderto. A.pleasehim B.bepleased C.askhimtoleaveimmediately D.invitehimforawalk 2WhatdoesitinthesentenceJackcouldn'tstanditanylongerreferto? A.hiswalkingaroundtheroomseveraltimes B.hissittinginfrontofthevisitor C.hisowner'svisitor'ssayingandtalking D.hiswalkinginthepark 3SeeingEyedogs. A.aremoreintelligentthanGermanshepherds B.haveonlyoneeye C.helpblindpeoplegotospecialschools D.helpandseeforblindpeople 4WhichofthefollowingstatementsisRIGHT? A.Mostdogsareveryintelligent. B.ItusuallytakesseveralyearsforSeeingEyedogstolearntohlpblindpeople. C.Germanshepherdsarethemostintelligentdogsintheworld. D.SeeingEyedogscanonlyhelpblindpeoplewalkalongthestreets.
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目前青少年压力过大为排解压力一些青少年染上了一些恶习如吸烟饮酒吃垃圾食品上网成瘾等请你以学生会的名义参照以下提示用英语写一封倡议书呼吁中学生要养成好习惯过健康生活.要点如下 1.青少年中存在的恶习以及它们的危害.恶习和危害各至少2点 2.好习惯的重要性和必要性.至少2点 3.呼吁你校学生养成好习惯过健康生活. 注意 1.词数120左右开头语已为你写好其词数不计入总数 2.可以适当增加细节以使行文连贯 3.文中不得透露个人姓名和学校名称.
AfatherwasworriedabouthissonsohisfatherdecidedtocallonaBuddhistmonk禅师totrainhisboy1wassixteenyearsoldbuthadnocourageatall. TheBuddhistmonksaid2theboy'sfatherYoushouldleaveyoursonalonehere.I'llmakehimintoarealmanwithinthreemonths.3youcan'tcometoseehimduringthisperiod. Threemonthslatertheboy'sfatherreturned.TheBuddhistmonkarrangedaboxingmatchbetweentheboyandan4experienceboxer.Eachtimethefighter5striketheboyhefelldownbutatoncetheboystoodupandeachtimetheboywasknockeddowntheboystoodupagain.SeveraltimeslatertheBuddhistmonkasked6doyouthinkofyourchild?Whatashame!theboy'sfathersaidIneverthoughthewouldbeso7easyknockeddown.Ineedn'thavehimlefthere8longer. Iamsorrythatisallyousee.Don'tyouseethateachtimehefallsdownhestandsupagaininsteadof9cry?That'sthekindofcourageyouwantedhim10have.
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Howtobenaturallyfunny Peoplewhoarenaturallyfunnyinsocialsituationsexperiencemanybenefits.Numerousstudieshaveshownthathumorreducessocialanxietyhelpstoeasetensionandhasanumberofpositiveemotionalandpsychologicaleffects.Inadditionithasbeenshownthatfunnypeoplemaybemoresuccessful.Howeveritisimportantthatbeingfunnycomesacrossnaturallyinalaid﹣backandspontaneous即兴的fashion.1 1.Startbylooseningup! 2Rememberthatlaughteriscontagious可传染的soifyoucarryyourselfinanopenandhumorouswaypeoplewillbereadytolaugh.Tobreaktheiceyoumayfollowtheleadofothersifyouneedto. 2.Lookforhumorineverydayevents. Manycomediansfocusontheworldaroundthemtofindcomedicmaterial.3Trymakingagoalofnoticing5funnythingsperdaythathappentoyou.Throughthistechniqueyouwillbegintoseehumorinmundanesituationsthateveryonewillappreciate. 3.4 Weallhavefriendswhoarealwaysgoodforalaugh.Whatisitthatmakesthemfunny?Whenyouseethempaycarefulattentiontowhatmakesthemfunny.Isittheirtoneofvoicebodylanguagecontentgeneraldemeanororsomethingelsethatmakesthemnaturallyfunny.Identifyingwhatisthatmakesthemfunnywillprovidecluesforhowyoucanbenaturallyfunnyaswell. 4.Practicebeingfunny. Makeityourgoaltosayordosomethingthatmakessomeonelaughonceaday.5Thereforeprofessionalcomediansoftenspendyearsdevelopingtheiruniquestyle.Bystartingsmallyouwillbeonyourwaytobeingnaturallyfunnyingeneralconversation. A.Agoodsenseofhumordoesnotappearovernight. B.Visitwithanaturallyfunnyfriendoracquaintance. C.Ifyoufindsomethingfunnyshareitwithafriendwhoyouthinkwillfindthisfunnyaswell. D.Havinghumorcomeacrossasforcedandawkwardcanhaveanegativeimpactuponsocialsituations. E.Otherslooktotheirpastexperiencessuchastheirchildhoodorpastrelationshipsasawaytomakepeoplelaugh. F.Whileotherswillnotalwaysunderstandyourhumoryoucanusetheirreactionstohelpimproveyourstylecontentandtiming. G.Beingtoouptightandself﹣consciousareroadblockstodevelopingandcommunicatinganaturalsenseofhumorthatisrelatabletootherpeople.
Iwasasingleparentoffoursmallchildrenworkingatalow﹣paidjob.Moneywasalways1butwehadaroofoverourheadsfoodonthetable2onourbacks.ItwasChristmastime.We3downtowntoseetheChristmaslightsandenjoyedaspecialdinner4thebigexcitementforthekidswasthefunofChristmas5atthemall购物中心.Theytalkedandplannedforweeksaheadoftime6eachotherwhattheywantedforChristmas. Thebigdayarrived.I7eachofthefourkidsatwenty﹣dollarbillandaskedthemto8forgifts.Theneveryonescattered散开. Backinthecardrivinghomeeveryonewas9aboutChristmaslaughingandaskingeachotheraboutwhattheyhad10.InoticedGingermyyoungerdaughterhadonlyonesmallandflatbagwithher.Icould11enoughthroughtheplastic12totellthatshehadboughtcandybars﹣﹣﹣fifty﹣centcandybars!Whatdidshe13withthattwenty﹣dollarbillIhadgivenher?Iwasso14.AftergettinghomeIcalledherintomybedroomandclosedthedoor.Thiswaswhatshetoldme Iwaslookingaround15ofwhattobuyandI16toreadthelittlecardsononeoftheSalvationArmy'sGivingTrees.Oneofthecardswas17alittlegirlfouryearsoldandallshe18forChristmaswasadollwithclothesandahairbrush.SoItookthecardoffthe19andboughtthedollforher.Wehavesomuchandshedoesn'thaveanything. Myanger20andIhadneverfeltsorichasIdidthatday. 1A.powerful B.tight C.valuable D.available 2A.books B.babies C.bags D.clothes 3A.drove B.ran C.rode D.walked 4A.since B.and C.but D.because 5A.working B.shopping C.eating D.playing 6A.reading B.studying C.helping D.asking 7A.gave B.sent C.passed D.dropped 8A.wait B.beg C.search D.apply 9A.curious B.excited C.careful D.nervous 10A.served B.found C.received D.bought 11A.see B.take C.get D.judge 12A.hairbrush B.card C.bag D.bar 13A.play B.do C.gain D.begin 14A.worried B.satisfied C.happy D.angry 15A.thinking B.reminding C.dreaming D.hearing 16A.regretted B.stopped C.hesitated D.returned 17A.on B.along C.for D.with 18A.wanted B.prepared C.sold D.saved 19A.roof B.window C.tree D.doll 20A.increased B.continue C.lost D.disappeared
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StudentsinmanycountriesarelearningEnglish.Someofthesestudentsaresmallchildren.Othersareteen﹣agers.Manyareadults.Somelearnatschoolothersbythemselves.AfewlearnEnglishbylearningthelanguageovertheradioonTVorinfilm.Onemustworkhardtolearnanotherlanguage. WhydoallthesepeoplewanttolearnEnglish?Itisdifficulttoanswerthisquestion.ManyboysandgirlslearnEnglishatschoolbecauseitisoneoftheirsubjectsrequiredforstudy.TheystudytheirownlanguageandmathsandEnglishSomepeoplelearnitbecauseitisusefulfortheirwork.ManypeoplelearnEnglishfortheirwork.ManypeoplelearnEnglishfortheirhigherstudiesbecauseatcollegeoruniversitysomeoftheirbooksareinEnglish.OtherpeoplelearnEnglishbecausetheywanttoreadnewspapersormagazinesinEnglish. 1PeoplelearnEnglish. A.atschool B.overtheradio C.onTV D.notallinthesameway 2DifferentkindsofpeoplewanttolearnEnglish. A.togetherwithothersubjects B.fordifferentreasons C.fortheirwork D.forhigherstudiesatcolleges 3Fromthispassageweknowthat. A.wecanlearnEnglisheasily B.Englishisverydifficulttolearn C.Englishislearnedbymostpeopleintheworld D.Englishisausefullanguagebutonemustworkhardtolearn 4Whichofthefollowingisright? A.Wedon'tneedtolearnanyforeignlanguages. B.WecandowellinallourworkwithoutEnglish. C.Englishisthemostimportantsubjectinschools. D.WeshouldlearnEnglishbecauseweneedtofacetheworld.
Takinggoodnotesisatime﹣savingskillthatwillhelpyoutobecomeabetterstudentinseveralways.1.Secondyournotesareexcellentmaterialstorefertowhenyouarestudyingforatest.Thirdnote﹣takingoffersvarietytoyourstudytimeandhelpsyoutoholdyourinterest. Youwillwanttotakenotesduringclassroomdiscussionsandwhilereadingatextbookordoingresearchforareport.2.Wheneverorhoweveryoutakenoteskeepinmindthatnote﹣takingisaselectiveprocess.3.Thefollowingmethodsmayworkbestforyou. ●Readthetextquicklytofindthemainfactsandideasinit. ●Carefullyreadthetextandwatchforwordsthatcanshowmainpointsandsupportingfacts. ●Writeyournotesinyourownwords. ●4 ●Noteanyquestionsorideasyoumayhaveaboutwhatwassaidorwritten. Asyoutakenotesyoumaywanttouseyourownshorthand速记.Whenyoudobesurethatyouunderstandyoursymbolsandthatyouusethemallthetime.5 A.Usewordsnotcompletesentences. B.Therearethreepracticalnote﹣takingmethods. C.Youmustwriteyournotesonseparatepaper. D.Otherwiseyoumaynotbeabletoreadyournoteslater. E.youwillalsowanttodevelopyourownmethodfortakingnotes. F.Thatmeansyoumustfirstdecidewhatisimportantenoughtoincludeinyournotes. G.Firstthesimpleactofwritingsomethingdownmakesiteasierforyoutounderstandandrememberit.
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OceanParkAcademyHongKongOPAHK1provideenvironmentaleducationalprograms2blendinto融入theschoolcurriculum.Theseprogramsofferdiverselearningopportunitiesandencouragestudentstoappreciateandbondwithnature.Theyinclude3experientiallearningapproachwithstudentsmakingdiscoveriesandreceivinginspirationthrough4theyownobservations. Inour5lateprogramsthelearningprocessisevenmoreinteractiveandstudentslearnthrough6explore.Therearemoreopportunitiesforactiveparticipationandmoretimeforreflectionand7share.Students'insightscanthenbeintegratedintotheirdailylives.ASTEAMelementisprogressivelyintroduced8ourschoolprogramstomotivatethestudents9thinkandtofacilitateself﹣learning.OPAHKalsofeaturesaTeacherDayCamptoinspireandassistteacherswithimplementingenvironmentaleducation.10in﹣parkactivitiesOPAHKalsoorganizesoutreachseminars推广研讨会andproject﹣basedlearningprogramsinschools.
NothingwasgoingrightforDr.Turneratthehospital.Hemadeamistakewhileoperatingonapatient.Hefeltsurehewasnolongertrustedanddecidedtochangehisjob.Onedayhelearnedfromthepaperthatadoctorwaslookingforapartner合作者.ThedoctorwhosenamewasJohnsonlivedinThorbyasmalltowninthenorthofEngland. AfewdayslaterDr.TurnerwenttoThorbyandarrivedatDr.Johnson'shomeearlyintheafternoon.ThougholdandalittledeafDr.Johnsonstillhadagoodbrain.Hekepttalkingtothevisitoraboutthetownanditspeople.Whentheyturnedtothequestionofpartnershipitwasalreadysevenintheevening.Dr.JohnsoninvitedDr.TurnertohavedinnerwithhiminarestaurantbeforecatchingthetrainbacktoLondon.Dr.TurnernoticedthatDr.Johnsonwasfondofgoodfoodandexpensivewines.Theyhadanexcellentmeal.WhenthebillwasbroughtDr.Johnsonfeltinhispocket.Ohdearhesaid.I'veforgottenmymoney.That'sallrightDr.Turnersaid.I'llpaythebill.AshedidsohebegantowonderwhetherDr.Johnsonwasworthyoftrust. 1Dr.Turnerdecidedtoleavehispresentjobbecause. A.hehadneverbeentrusted B.itdemandedtoogreatskills C.hebelieveditofferedlittlehopeforhisfuture D.hethoughtthehospitalwouldlikehimtoleave 2Thetwodoctorsspentmostoftheafternoontalkingabout. A.thingsofnointeresttoDr.Johnson B.thingsofnoimportancetoDr.Turner C.healthmatters D.foodanddrink 3Thestorysuggeststhat. A.Dr.JohnsondidnotlikeDr.Turner B.thetwodoctorswouldbecomefriends C.thetwodoctorswouldnotworktogether D.Dr.Turnerdecidedtostayathispresentjob 4Thewordsdidsointhelastsentencemean. A.caughtthetrainbacktoLondon B.feltinhispocket C.paidthebill D.saidthosewords
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