2019-2020年高二下學(xué)期期中數(shù)學(xué)理試題 含答案

桂林中學(xué)xx下學(xué)期期中考試高二理科數(shù)學(xué)試題2019-2020年高二下學(xué)期期中數(shù)學(xué)理試題含答案第I卷（選擇題，共60分）一、選擇題（本大題共12小題，每小題5分，滿分60分）下列說(shuō)法正確的是（）平面和平面只有一個(gè)公共點(diǎn)兩兩相交的三條線必共面不共面的四點(diǎn)中，任何三點(diǎn)不共線有三個(gè)公共點(diǎn)的兩平面必重合設(shè)均為直線，其中在平面a內(nèi),則“l(fā)丄?”是“l(fā)丄m且l丄n”的（）條件充分不必要必要不充分充分必要既不充分也不必要有三個(gè)球，一個(gè)球內(nèi)切于正方體的各個(gè)面，另一個(gè)球切正方體的各條棱，第三個(gè)球過(guò)正方體的各個(gè)頂點(diǎn)（都是同一正方體），則這三個(gè)球的體積之比為（）過(guò)三棱錐高的中點(diǎn)與底面平行的平面把這個(gè)三棱錐分為兩部分，則這上、下兩部分體積之TOC\o"1-5"\h\z比為（）1:41:72:31:8已知各頂點(diǎn)都在一個(gè)球面上的正四棱柱高為4，體積為16，則這個(gè)球的表面積是（）6?如圖，四棱錐P-ABCD中，底面是邊長(zhǎng)為1的菱形，ZABC=60°,PA丄底面ABCD,PA=1,則異面直線AB與PD所成角的余弦值為（）曇壘品壘4243某班級(jí)要從4名男生、2名女生中選派4人參加某次社區(qū)服務(wù)，如果要求至少有1名女生，那么不同的選派方案種數(shù)為（）14242848在正三棱柱中，則與平面所成的角的正弦值為（）9?用數(shù)字1,2,3,4,5可以組成沒(méi)有重復(fù)數(shù)字，并且比xx0大的五位偶數(shù)共有48個(gè)36個(gè)48個(gè)36個(gè)24個(gè)18個(gè)10.如圖：已知矩形ABCD中，AB=2,BC=，若PA丄平面ABCD,在BC邊上取點(diǎn)E,使PE丄DE，則滿足條件的E點(diǎn)有兩個(gè)時(shí)，的取值范圍是（）>4三>4三40VV40VW4若地球半徑為，在北緯45°圈上有兩點(diǎn)，且這兩點(diǎn)間的球面距離為，則北緯45°圈所在平面與過(guò)兩點(diǎn)的球的大圓面所成的二面角的余弦值為（）12．在棱長(zhǎng)為1的正方體ABCD—中，若點(diǎn)P是棱上一點(diǎn)，則滿足TOC\o"1-5"\h\z＋的點(diǎn)P的個(gè)數(shù)為（）46812第II卷（非選擇題，共90分）二、填空題：（本大題4小題，每小題5分，滿分20分）菱形中，已知ZBAD二60,AB二10cm,垂直于所在平面且，則到的距離為。把邊長(zhǎng)為1的正方形紙片ABCD沿對(duì)角線AC翻折，使頂點(diǎn)B和D的距離為1,此時(shí)D點(diǎn)到平面ABC的距離為。展開(kāi)式中，的系數(shù)是。一個(gè)等腰直角三角形的三個(gè)頂點(diǎn)分別在正三棱柱的三條側(cè)棱上．已知正三棱柱的底面邊長(zhǎng)為2,則該三角形的斜邊長(zhǎng)為。注意：請(qǐng)把答案寫在答題卡上，此卷不交，注意保存.三、解答題：（本大題共6小題，滿分70分，解答應(yīng)寫出文字說(shuō)明證明過(guò)程或演算步驟）17（本小題10分）（I）計(jì)算：（II）解方程：.18（本小題12分）從4名女同學(xué)和6名男同學(xué)中，選出3名女同學(xué)和4名男同學(xué)，7人

排成一排.(1)如果選出的7人中，3名女同學(xué)必須站在一起，共有多少種排法?(2)如果選出的7人中，3名女同學(xué)互不相鄰，共有多少種排法?(注:必須用數(shù)字表示最終結(jié)果)19(本小題12分)在長(zhǎng)方體中，，，、分別為、的中點(diǎn)求證：平面；求證：平面.20(本小題12分)直三棱柱中，側(cè)棱，，，是棱的中點(diǎn)，是中點(diǎn)，求:(I)二面角的大小(I)到平面的距離.21(本小題12分)如圖，四棱錐中，底面為矩形，底面，，、分別為、的中點(diǎn)求證：平面；Cl.VAdpBCEBA設(shè)，求與平面所成的角的正弦值.Cl.VAdpBCEBA22（本小題12分）22（本小題12分）四棱錐中，底面為矩形，側(cè)面底面，，，．（I）證明：（II）設(shè)與平面所成的角為，求二面角的大?。鹆种袑W(xué)xx下學(xué)期期中考試高二理科數(shù)學(xué)試題時(shí)間120分鐘,滿分150分第I卷（選擇題，共60分）一、選擇題：（本大題共12小題，每小題5分，滿分60分）下列說(shuō)法正確的是（C）平面a和平面B只有一個(gè)公共點(diǎn)兩兩相交的三條線必共面不共面的四點(diǎn)中,任何三點(diǎn)不共線有三個(gè)公共點(diǎn)的兩平面必重合設(shè)均為直線，其中在平面a內(nèi),則“l(fā)丄?”是“l(fā)丄m且l丄n”的（A）條件A.充分不必要B.必要不充分C.充分必要D.既不充分也不必要有三個(gè)球，一個(gè)球內(nèi)切于正方體的各個(gè)面，另一個(gè)球切正方體的各條棱，第三個(gè)球過(guò)正方體的各個(gè)頂點(diǎn)（都是同一正方體），則這三個(gè)球的體積之比為（C）過(guò)三棱錐高的中點(diǎn)與底面平行的平面把這個(gè)三棱錐分為兩部分，則這上、下兩部分體積之比為（B）1:41:72:31:85、已知各頂點(diǎn)都在一個(gè)球面上的正四棱柱高為4，體積為16，則這個(gè)球的表面積是（C）A．B．A．B．C．D．6.如圖，四棱錐6.如圖，四棱錐P—ABCD中，底面是邊長(zhǎng)為1的菱形，ZABC=60°,PA丄底面ABCD,PA=1,則異面直線AB與PD所成角的余弦值為（A）A.b￥C込A.b￥C込4C.4D.某班級(jí)要從4名男生、2名女生中選派4人參加某次社區(qū)服務(wù)，如果要求至少有1名女生，那么不同的選派方案種數(shù)為（A）A.14B.24A.14B.24C.28D.48在正三棱柱ABC—A1B1C1中，AA]=AB，則AC】與平面BB^C所成的角的正弦值為（D）A.B.C.D.9?用數(shù)字1,2,3,4,5可以組成沒(méi)有重復(fù)數(shù)字，并且比xxO大的五位偶數(shù)共有（B）A.48個(gè)B.36個(gè)C.24個(gè)D.18個(gè)10.如圖：已知矩形ABCD中，AB=2,BC=，若PA丄面AC，在BC邊上取點(diǎn)E,使PE丄DE,則滿足條件的E點(diǎn)有兩個(gè)時(shí)，的取值范圍是（A）>4三40VV40VW411.若地球半徑為R,在北緯45°圈上有A、B兩點(diǎn)，且這兩點(diǎn)間的球面距離為，則北緯45°圈所在平面與過(guò)A、B兩點(diǎn)的球的大圓面所成的二面角的余弦值為（D）A.B.C.D.在棱長(zhǎng)為1的正方體ABCD—中，若點(diǎn)P是棱上一點(diǎn)，則滿足IPA/+的點(diǎn)P的個(gè)數(shù)為（B）A.4B.6A.4B.6C.8D.12第II卷（非選擇題，共90分）二、填空題：（本大題4小題，每小題5分，滿分20分）菱形中，已知/BAD=60,AB二10cm,垂直于所在平面且，則到的距離為。10cm把邊長(zhǎng)為1的正方形紙片ABCD沿對(duì)角線AC翻折，使頂點(diǎn)B和D的距離為1,此時(shí)D點(diǎn)到平面ABC的距離為.展開(kāi)式中，的系數(shù)是.24一個(gè)等腰直角三角形的三個(gè)頂點(diǎn)分別在正三棱柱的三條側(cè)棱上.已知正三棱柱的底面邊長(zhǎng)為2,則該三角形的斜邊長(zhǎng)為三、解答題：（本大題共6小題，滿分70分，解答應(yīng)寫出文字說(shuō)明證明過(guò)程或演算步驟）（本小題滿分10分）（I）計(jì)算::（II）解方程::解：（I）=5X5X4X3+4X4X34分=348………5分（I）………7分.??2x=1或2x+1=59分

x=(舍)或x=2故方程得解為x=210分18.(本小題滿分12分)從4名女同學(xué)和6名男同學(xué)中，選出3名女同學(xué)和4名男同學(xué)，7人排成一排.(1)如果選出的7人中，3名女同學(xué)必須站在一起，共有多少種排法?(2)如果選出的7人中，3名女同學(xué)互不相鄰，共有多少種排法?(注:必須用數(shù)字表示最終結(jié)果)解：(1)先選人，有種選法，再把3名女同學(xué)看成一個(gè)元素，與其余4名男同學(xué)相當(dāng)于5個(gè)元素進(jìn)行全排列，，然后3名女同學(xué)再進(jìn)行全排列，由分類計(jì)數(shù)原理，共有=43200種排法(6分)(2)選完人后，先讓4名男同學(xué)全排列，再把3名女同學(xué)在每?jī)赡猩g(含兩端)的5個(gè)位置中插入排列，共有=86400種排法(12分)(本小題滿分12分)在長(zhǎng)方體中，，，、分別為、求證：平面；(II)求證：平面.證明：側(cè)面，側(cè)面，，………3分在中，CD—2a,CE=DE—\：2a，則有，，，又平面.…………6分證明：連、，連交于，連結(jié)OE，，四邊形是平行四邊10分又平面，平面，平面.……12分20(本小題滿分12分)直三棱柱ABC—AB^^中,,M是棱BC的中點(diǎn)，N是CC］中點(diǎn)，求二面角B—AN—M的大??；q到平面AMN的距離.20、.解法一：(1)建立坐標(biāo)系如圖所示，則A(O,O,O),M(彳，彳,0),N(0,巨,1),B1(乙22AM■■|$!—,0),ANAM■■|$!—,0),AN—(0^.2,1),AB—(.2,0,2)法向量為2分由，22■-得寧P+計(jì)q—0,\：2q+r—0,由，的中點(diǎn).22

的中點(diǎn).令，則，于是…………3分由，得s+2k=0,J2t+k=0,令，則，于是……………4分m-n=一1,1m1=<1+1+2=2,1n1=4+1+2=<7cos<m,cos<m,n>145分所以二面角B—所以二面角B—AN—M的大小6分(2),C1到平面AMN的距離：12分解法二：TZBAC=90°,AB=AC=,M是棱BC的中點(diǎn)..?.AM丄BC,BC=2，AM=1,.?.AM丄平面BC%,???平面丄AMN丄平面BCCB^2分(1)作B]H丄MN于H,HR丄AN于R,連BR???平面AMN。平面BCCB^=MN.BH丄平面丄AMN,又由三垂線定理知，BR丄AN,???ZBjRH是二面角B—AN—M的平面角3分由已知得，則又Rt^AMN?Rt^HRN,???RHBiR=,‘旋丐玩……又Rt^AMN?Rt^HRN,???RHBiR=,‘旋丐玩……5分所以二面角B—AN—M的大小6分(2)VN是CC1中點(diǎn)???C1到平面AMN的距離等于C到平面AMN的距離設(shè)C到平面AMN的距離為h,由VC—AMN=VN-AMC得11x—AM-MN-H=32-x1AM-MC32………………12分21.(本小題滿分12分)如圖，四棱錐中，底面為矩形，底面，，、分別為、的中點(diǎn)求證：平面；設(shè)，求與平面所成的角的正弦值解：(1)取pa中點(diǎn)g,連結(jié)fg,dg.1BF=FPnFG=AB21CE=EDnDE=AB2n四邊形DEFG為平行四邊形nEF/=/DGPD丄平面ABCDn平面PAD丄平面ABCDD,nAB丄平面PAD又TAB丄ADIn平面PAB丄平面PADPD=ADPG=GA>nDG丄平面PABEF丄平面PAB6分AGu平面n平面PAB丄平面PADPD=ADPG=GA>nDG丄平面PABEF丄平面PAB6分AGu平面PADEFIIDG9分PF⑵設(shè)AC,BD交于0,連結(jié)FO.PFBO=BF=ODPD丄平面ABCD設(shè)BC=a,則AB=a,PA二a,DG=a=EF,PB=2a,AF=a.平面ABCD設(shè)C到平面AEF的距離為h.TV=V,.?丄xlEF-AF-h=^x_C－AEFF－ACE3232即???.???AC與平面AEF所成角的正弦值為.即AC與平面AEF所成角的正弦值為.12分22(本小題滿分12分)四棱錐中,底面為矩形,側(cè)面底面,,,證明：設(shè)與平面所成的角為，求二面角的大小.解：(1)取中點(diǎn),連接交于點(diǎn),,,又面面，面，．3分tanZCED=tanZFDC=——…即，222題圖面，．6分(2)在面內(nèi)過(guò)點(diǎn)作的垂線，垂足為，，面，，則即為所求二面角的平面角．9分,,EG=JDE2_DG2二^30,3則cosZCGE=CG2+GE2-CE2

2CGgE即二面角的大?。?2分,\ZCGE2019-2020年高二下學(xué)期期中檢測(cè)英語(yǔ)含答案第一部分聽(tīng)力（共兩節(jié),共20小題,每小題1.5分,滿分30分）第一節(jié)：（共5小題,每小題1.5分,滿分7.5分）請(qǐng)聽(tīng)下面5段對(duì)話,選出最佳選項(xiàng)。Whatsizedoesthewomanwant?Size8.B.Size10.C.Size12.Howdoesthemanfeelabouthisjob?Heenjoysit.B.Hedoesn'tlikeitatall.C.Hewantstofindanewjob.Whenwillthewomanhavedinner?At6:00pm.B.At7:00pm.C.At8:00pm.Wheredoestheconversationmostprobablytakeplace?Inabookstore.B.Inamuseum.C.Inashoppingmall.Whatisthewomangoingtodo?A.Tobuyasilkdress.B.Toattendaparty.C.Towearanewdress.第二節(jié)（共15小題;每小題1.5分，滿分22.5分）聽(tīng)下一段材料，回答第6至8題。Whatdoesthemanwanttodo?A.Tobuysomemedicine.B.Tobuysomebooks.C.Topostaletter.Whatdoesthewomanaskthemantodo?A.Tolendherabike.B.Togetsomebooks.C.Tobuysomemedicine.Whatisthematterwiththewoman?A.Shehasgotacold.B.Shecan'tsleepwell.C.Shehurtsherself.聽(tīng)下一段材料，回答第9至10題。Wheredoesthisconversationprobablytakeplace?A.Atahotel.B.Onanisland.C.Inatraveloffice.Whatisthemandoing?A.Planningatour.B.Lookingforahotel.C.Tryingtofindabook.聽(tīng)下一段材料，回答第11至13題。Howdoesthewomangettheinformationaboutarmexercises?Bytalkingtoanexpert.B.Byreadinganarticle.C.Bylisteningtotheradio.Whatdotheexpertsremend?A.Exercisingthewholebody.B.Losingweightdaybyday.C.Havingyourbloodpressuretakendaily.Whatdoesthemanlikedoing?A.Jogging.B.Walking.C.Ridingbicycles.聽(tīng)下一段材料，回答第14至16題。WhendidThomaseback?A.Abouttwoyearsago.B.Aboutfivemonthsago.C.Lastmonth.WhatdidThomasdoaftergraduatingfromuniversityinHongKong?A.HewenttoBritishforstudy.Heworkedfordisabledpeople.Hevisitedhisfriendintown.WhatdoesBettythinkofherjob?A.It'sboring.B.It'sprecious.C.It'ssatisfying.聽(tīng)下一段材料，回答第17至20題。WhatdateisHalloween?A.December31st.B.November1st.C.October31st.Whydidpeopledressstrangely?A.Tohavefun.Tofrightenawayspirits.Tofrightentheirneighbors.HowdidpeopleactonHalloween?A.Theyactedwild.Theyhidintheirhouses.Theyhandedoutgifts.WhatisHalloweenrelatedto?

A.Science.B.Religion.C.Death.A.Science.B.Religion.C.Death.第二部分：英語(yǔ)知識(shí)運(yùn)用（共兩節(jié)，滿分45分）第一節(jié)語(yǔ)法和詞匯知識(shí)運(yùn)用（共15小題；每小題1分，滿分15分）從A、B、C、D四個(gè)選項(xiàng)中選出最佳選項(xiàng)，并在答題卡上將該項(xiàng)涂黑。There'refiftystudentsinclass.Unfortunately,majorityfailedthetest.A.a;aB./;theC./;aD.the;theThepeoplethedeadkilledintheearthquakeinJapan.A.mourned;occurredB.mourned;occurringC.mourning;occurredD.tomourn;occurringbythealarmingnewshehaddevelopedcancer,hedidn'tknowwhattodo.A.Castdown;thatB.Castingdown;whichC.Castdown;whichD.Castingdown;that24.Hehopedtheaudiencewassatisfiedandtheperformer'sefforts.A.payoffB.werepaidoffC.paidoffD.havepaidoff25.Asmanyasfivecoursesareprovided,andyouarefreetochoosesuitsyoubest.A.whateverB.wheneverC.whicheverD.wherever26.--WhichteamistowintheWorldCup?——Inmyopinion,itisforGermanteamtowin.A.probable;likelyB.possible;probableC.likely;probableD.likely;possible27.IthoughtherhonestImether.A.firsttimeB.forthefirsttimeC.thefirsttimeD.bythefirsttime28.--ThankGodyou'resafe!-■-Isteppedback,iusttoavoidtheracingcar.A.intimeB.incaseC.inneedD.invainThatwasthefirsttimethatIthereandIwasimpressedbythefriendlypeopleverymuch.A.goB.wasgoingC.hadgoneD.havegone--Dad,IhavewonthefirstprizeintheEnglishpetition.--Congratulations!andgetpreparedforstudyingabroad.--Congratulations!B.KeepitupD.Takeiteasy.B.KeepitupD.Takeiteasy.favoritesingersafterclass.C.Nevermind.,hetalksalotabouthisA.AquitestudentashemaybeC.BeaquitestudentashemayA.AquitestudentashemaybeC.BeaquitestudentashemayQuitestudentashemaybeQuiteashemaybeastudentIfhetakesonthiswork,hewillhavenochoicebutanevengreaterchallenge.Ifhetakesonthiswork,hewillhavenochoicebutanevengreaterchallenge.A.meetsB.meetingC.meetD.tomeetA.meetsB.meetingC.meetD.tomeet--DidPeterfixtheputerhimself?—He,becausehedoesn'tknowmuchaboutputers.A.hasitfixedB.hadfixeditC.haditfixedD.fixeditA.hasitfixedB.hadfixeditC.haditfixedD.fixeditThebookbroughtthedaysbacktomIwastakengoodcareofinthatvillage.A.whereB.thatC.whenD.whichIthasn'trainedforfourmonths,sotheriverbehindourvillagehas.driedupB.driedoutC.goneupD.goneout第二節(jié)完形填空（共20小題；每小題1.5分，滿分30分）閱讀下面短文，從短文后各題所給的四個(gè)選項(xiàng)（A、B、C和D）中，選出可以填入空白處的最佳選項(xiàng)，并從答題卡上將該選項(xiàng)涂黑。Oncetherelivedarichwomanwell-knowninhighsocietyforherkindness,whohadamaid（女仆）thatwasdevotedandhardworking.Oneday,outofcuriosity,themaiddecidedto36hermistress（主人）tofindoutwhethershewasreallygoodbynature.Thefollowingday,themaidgotupfromherbedquitelateataroundafternoontimeandthemistress37herforbeinglate.Thenextday,themaid38thelaterisingandthistime,themistressbecameparticularly39andhitthemaidwithastick,thushurtingher.This40spreadaroundtheneighborhoodandtherichwoman41notonlyherreputationbutalsoadevotedmaid.42,it'salsoreflectedinmodern43.Peoplearekindandmodestwhentheirsurroundingsare44andsatisfactory.However,whenconditionschangefortheworse,they'llbee45andfilledwithanger.Angerisoftenanuglyanddestructivemoodthatmankind46frominourdailylives.It'sabadmood47withinus,waitingforthechancetotakecontrolofourlife.Uncontrolledangercancauseusagreatdealofemotionalandphysical48andwemustlearnto_49it.Agood50tocontrolangeristoactasiftheundesirablethoughtsdon'texistinour51.Byusingourwillpower,wefocusourmindsonpositivethingsand52removethenegativethought.It'sdifficulttoreact53tosomeonewhohurtus,54ourphysicalisn'tharmed.Butthetestofcharacterishowwe55situationsinourdailylives.Rememberthis,darknesscannotberemovedbydarknessbutbybrightness.Inthesameway,angercannotberemovedbyangerbutbylovingkindness.36.A.phoneB.joinC.testD.visit37.A.hatedB.blamedC.chargedD.fired38.A.changedB.provedC.improvedD.repeated39.A.angryB.smartC.quietD.painful40.A.adviceB.knowledgeC.progressD.news41.A.lostB.earnedC.helpedD.fought42.A.AfterwardsB.HoweverC.SimilarlyD.Hopefully43.A.classB.societyC.homeD.history44.A.strangeB.sureC.goodD.ready45.A.impatientB.inactiveC.unluckyD.unknown46.A.escapesB.recoversC.learnsD.suffers47.A.disappearingB.hidingC.happeningD.growing48.A.harmB.energyC.stressD.balance49.A.acceptB.breakC.controlD.organize50.A.causeB.caseC.baseD.way51.A.chatB.mindC.choiceD.job52.A.anyhowB.yetC.thereforeD.again53.A.slowlyB.peacefullyC.officiallyD.differently54.A.incaseB.asifC.nowthatD.eventhough55.A.handleB.manageC.viewD.preserve第三部分閱讀理解（共20小題；每小題2分，滿分40分）閱讀下列短文，從每題所給的四個(gè)選項(xiàng)（A、B、C和D）中，選出最佳選項(xiàng)。AIntheEnglishlanguagethemostterriblewordsare“ourputerisdown.”Youhearitmoreandmorewhenyouareonbusiness.TheotherdayIwasattheairportwaitingforatickettoWashingtonandthegirlinthetikcetofficesaid,“I'msorry,Ican'tsellyouaticket.Ourputerisdown.”“Ifyourputerisdown,justwritemeoutaticket.”“Ican'twriteyououtaticket.Theputeristheonlyoneallowedtodoso.”Ilookeddownatthecounterandeverypassengerwasjuststandingtheredrinkingcoffeeandstaringattheblackscreen.ThenIaskedher,“Whatdoyoudo?”“Wegivetheputertheinformationaboutyourtrip,andthenittellsuswhetheryoucanflywithusornot.”“Sowhenitgoesdown,yougodownwithit.”“That'sright,sir.”“Howlongwilltheputerbedown?”Iwantedtoknow.“Ihavenoidea.Sometimesit'sdownfor10minutes,sometimesfortwohours.Thereisnowaywecanfindoutwithoutaskingtheputer,andsinceit'sdown,itwon'tanswerus.”Afterthegirltoldmetheyhadnobackupputer,Isaid,“Let'sforgettheputer.Whataboutyourplanes?Theyarestillflying,aren'tthey?”“Ican'ttellwithoutaskingtheputer.”“MaybeIcouldjustgotothegateandaskthepilotifhe'sflyingtoWashington.”Isuggested.“Iwouldn'tknowwhatgatetosendyouto.EvenifthepilotwasgoingtoWashington,hecouldn'ttakeyouifyoudidn'thaveaticket.”“IsthereanyotherairlineflyingtoWashingtonwithinthenextfewhours?”“Iwouldn'tknow,”shesaid,pointingatthedeskscreen.“OnlyITknows.Itcan'ttellme.”Bythistimetherewerequiteafewpeoplestandinginline.Thewordssoonspreadtoothertravelersthattheputerwasdown.Somepeoplewent,somepeoplestartedtocryandstillotherskickedtheirluggage.Theword“down”inthesentence‘Ourputerisdown.'means.fallingB.deadC.dropD.goodThebesttitleofthearticleis.B.TheputeroftheAirportAskingtheputerB.TheputeroftheAirportTheMostFrighteningWordsD.WhentheputerIsDownWhatcouldthegirlintheticketofficedoforthepassengerswithoutaskingtheputer?Shecoulddonothing.B.Shecouldanswerthepassengers'questions.C.Shecouldsellaticket.D.Shecouldwriteoutaticket.Thelastparagraphsuggeststhat.amodernputerwon'tbedownputerscantaketheplaceofhumanssometimesaputermaybringsufferingtopeopletherewillbegreatchangesinputersTosome,it'sadreamjob---eatingdeliciousmealsforfreeandthenwritingaboutthem.Butforsomefoodcritics,theireyesaren'ttheonlythingthatgetswidewithyetanotherfeast.KarenFernau,afoodwriterforTheArisonaRepublic,saidwhenshefirststartedherjob-shebegantogainweight.“Ialwayslookedforwardtolunchbeforethisjob,thenallofasuddenlunchwasalldayeveryday."shesays.Nineyearslater,keepingherweightsteadyandherhealthintact（完好無(wú)損的）isadailybattle.Ifsheknowsshewillbegoingtoatastingatabakeryoreatingafour-coursemeal,sheusuallyeatsfruitsorsaladsthroughouttheday.Nowsheisalwayskeepingtrackofwhat'sinthefoodsheeatsandshesaysmostpeopledon'tevenlookatorconsiderit.Atonetastingtaskalone,shesays,upwardofl,000caloriesisoftenaddedtoherday.That'sabouthalfoftheremendedtotalcaloriesperdayfortheaverageadult.Buteventhoughshe'sthoughtofaspecialeatingmethod,Fernausaysstickingtoitisadailybattle.Andfoodeditors,writersandcriticsacrossthecountrycouldn'tagreemore.“WhenI'mathomeornoteatingforwork,it'shealthyfoodtotheextreme,"saysPhilVettel,who'sbeenarestaurantcriticfortheChicagoTribunefor19years.Vettel,whoeatsdinneratfourrestaurantseachweek,saysunlikemostprofessions,hehasnorighttochoose."IfI'mgoingouttoeat,Ican'tchoosethehealthiestthingonthemenu,Ihavetoeatwhenthey'rebringing.me"WhileVettelexerciseswhenhecan,JoeYonan,afoodeditoratTheWashingtonPost,hasstrengthenedhisexercisehabitssincehestartedthejobtwoyearsago.Yonansaysherealizedearlyonthathewasgainingweightandimmediatelyhiredapersonaltrainertomeetwiththreetimesaweek,ontopofhisbodytrainingthreetofivetimesaweek.Still,it'sastrugglethatmanyAmericansmightenvy.Afterall,it'sonethingtogetyourcaloriesfromlobstertailsoradelicatechocolatecookieandquiteanothertogetthemfromsodasandfast-foodburgers．60．WhatdoestheunderlinedsentencemeaninParal?A．Thefoodcriticsarealwaysimpressedbythedeliciousfoodintherestaurant．B．Thefoodcriticsareshockedtolearntheyhavetohaveonemorefeast．C．Thefoodcriticseatdeliciousfood,whichalsotendstoresultingainingweight．D．Thereisawidevarietyofchoicesforthefoodcriticstochoosefrom．61．Whatcanwelearnaboutthejobofbeingafoodcritic?A．Oncetheybeefoodcritics,theytendtostayinthejob．B．Theyonlyworkforlocalmagazinesandnewspapers．C．Theyenjoyfreeanddeliciousdishesandmakementsonthem．D．Theirexcellentsenseoftastemakesthemqualifiedforthejob．62．Whatismentionedtobeamethodthatfoodwritersusetokeepfit?A．Noteatinganythingexceptforthefreemeals．B．Writingdowneverythingtheyputintotheirmouth．C．Choosingonlythehealthyfoodonthemenu．D．Hiringapersonaltrainerforspecialexerciseinstructions．63．Whatcanweinferfromthelastparagraph?A．Nomatterwhetherthefoodisexpensiveornot,thegainingofcaloriesisthesame．B．Americansenvythosefoodcriticssincetheyenjoydelicateandtastyfood．C．Thecaloriesthatlobstertailsandchocolatecookiescontainarelessharmful．D．Everybodyshouldtakethecaloriesintheirfoodcarefully．CSuperman,Spider-Man,BatmanandIronMan*^Thereisnoshortageofsuperheroes.Youfindtheminicbooks,ontheTVandthebigscreen.Inasurveyoffansbythesci-fiandfantasywebsite,SFX.co.uk,Batman,70yearsoldthisyear,wasvotedBritain'sfavoritesuperhero.Unlikemanycrime-fightingsuperheroesBatmanhasnospecialpowers.Hecan'tflylikeSupermanorshootastickyweblikeSpider-Man.BruceWayneisborntoawealthyGothamCitybusinessfamily.However,whenhisparentsaremurderedhislifechangespletely.Waynefeelsangerattheirdeathsandguiltythathedidnotpreventthem.Hetravelsaroundtheworldlearninghowtofight.UponreturningtoGotham,hecreatesadisguisetoenablehimtofightcrimewithoutbeingrecognized.Achildhoodfearofbatsleadshimtochoosetodressasone.Hisideaisthatthroughthebatpersona,hecanprovetohimselfthathehasoverehischildhoodfears.WayneistheCEOofthepanyheinheritsfromhisfather.Heseemstolivethelifestyleofamillionaireplayboy.Butthisisaruse（計(jì)策）.Heworkshardattheimagetoallowhimselfthefreedomheneedstodohisworkasacrimefighter.“BruceWayne,playboy”isthedisguise;Batmanistherealperson.“Wayneisnotabornsuperhero.Instead,heisareal,plexperson,”saidDaceGolder,editorofthewebsite."Heisthemostrealisticofallthesuperheroes.Iamparticularlyinterestedintheemotionalprocessbywhichaboybeesahero.Hissuperheroqualitiesefromwithin.”Whatisthearticlemainlyabout?Whatmakesasuperhero.Howtooverechildhoodfears.HowBruceWaynedevelopsintoasuperhero.WhysuperheroesenjoygreatpopularityinBritain.Batmandiffersfromothersuperheroesinthat.hedoesn'thaveanyspecialpowershehadanunhappychildhoodhewasnotabornsuperherohedoeshisbesttofightcrimeBruceWaynedecidestodresslikeabatbecauseof.hiscuriosityaboutbatshisunusualtravelexperienceshisparents'suddendeathhischildhoodfearofbatsWhydoesWaynelivelikeaplayboy?Heprefersthelifestyleofaplayboy.Heneedstodisguisehiscrimefightingactivities.Helovesfreedommorethananythingelse.Hedoesn'tknowhowtorunapany.DNowadays,moreandmorepeopleprefertotravelbyplane.Theythinkairtravelisfarsaferthandrivingacaronabusymotorway.Butstillthereisadangerthatgrowseveryyear.Airlinersgetlargerandlarger.Someairplanescancarryover300passengers.Andtheairitselfbeesmoreandmorecrowded.Ifonelargeairlinerstruckintoanotherinmid-air,600livescouldbelost.Fromthemomentanairlinertakesofftothemomentitlands,everymovementiswatchedonradarscreens.Airtrafficcontrollerstellthepilotexactlywhentoturn,whentoclimb,andwhentoedown.TheairtrafficcontrollersaroundabusyairportlikeLondon-Heathrowmaydealwith2,500planesaday.Notallofthemactuallylandattheairport.Anyplanethatfliesneartheairportesundertheordersofthecontrollersthere.Evenasmallmistakeontheirpartcouldcauseaterribleaccident.Recentlysuchadisasteralmosthappened.Twolargejetswereflyingtowardstheairport.Onewascarrying69passengersfromToronto,theother176passengersfromChicago.Anairtrafficcontrollernoticedonhisradarscreenthatthetwoplanesweretooclosetoeachother.Heorderedonetoturntotherightandtoclimb.Buthemadeamistake.Heorderedthewrongplanetodothis.So,insteadofturningawayfromthesecondplane,thefirstplaneturnedtowardsit.Fifteensecondslateritflewdirectlyinfrontofthesecondplane.Theyavoidedeachotherbythesmallestpartofasecond.Thedistancebetweenthemwaslessthanthatofalargeswimmingpool.Thisisanexampleofthedangerthatgrowseveryyear.WhichofthefollowingisTRUEaccordingtothepassage?Travelingbyairisassafeasbycar.Travelingbyairisnotassafeasbycar.Travelingbycarisasdangerousasbyair.Travelingbycarismoredangerousthanbyair.Theairtrafficcontrollersofanairport.areorderedtohandle2500planesadayinEnglandgiveorderstoplanesleavingtheairportonlydealwiththeplanesthatwanttolandtherecontrolalltheplanesflyingneartheairportThedangerofaircrashesgrowseveryyearbecause.A.airlinersaregettinglargerandairtrafficisbeingheavierapilotdoesnotalwayshearacontroller'sorderacontrollerislikelytomakemoreandmoremistakesD.airportscanhardlyservethegrowingnumberofairplanesTheexampleinthepassageistoshowthat.A.airtrafficcontrollersareoftencarelessairtrafficcontrollersshouldpaymuchattentiontoavoidingaccidentsitisdifficultforairplanestoavoidterribleaccidentstwoplanesshouldnotflytooclosetoeachotherECanweseeksimple,effectivewaystohelpkidsgrowupagainstthenationalobesitytrend?Here'sadvicefromanewstudy:—Makesurekidseathealthfully,startingwithagoodbreakfasteveryday.—Limitkids'sedentary（久坐的）freetime.—Promotepositiveself-esteem（自尊）inchildren.—Beagoodrolemodelforahealthylife.ThosetipsefromAshleyCrossman,agraduatestudentatArizonaStateUniversity'ssociologydepartment.Shelookedatdatafromnationalsurveysofabout6,400teensandyoungadults.CrossmanpresentedherfindingsinPhiladelphiaattheAmericanSociologicalAssociation'sannualmeeting.WhatisObesity?HealthyHabitsParticipantswhogrewuptohaveahealthyweighthadsomemontraits.Asteens,theyatebreakfast,hadgoodself-esteem,andweretoobusytospendtonsoftimewatchingTVorplayingputergames.Theirparentsalsohadsomethingsinmon:healthyweight,moreeducation,andcontrolovertheirkids'diets.Parents'ineandkids'racedidn'tmakeadifference,notesCrossman.FoodforThoughtManyfactorsaffectweight,but“ourresearchsuggeststhatpreventionmustbeginathome,”writesCrossman.Healthyeatingandactivelifestylesarepartofthesolutionsheremends.Physicalactivityispromotedaspartofahealthylife(getadoctor'sOKfirst).Inthisstudy,“active”didn'talwaysmeantonsofexercise.Teen'spa-rtimejobs,volunteeractivities,andhobbiesalsohelpedbyreducingtimewithTVorputergames,notesCrossman.TheAmericanAcademyofPediatricsremendsthatchildrenatriskshouldbeidentifiedbyvirtueoffamilyhistoryofobesity,andotherfactorssuchasenvironment.Parentsandcaregiversshouldbeencouragedtopromotehealthyeatingpatternsbyofferingnutritioussnacksuchasfruitandvegetables,low-fatdiaryproducts,andwholegrains;settingappropriatelimitsandmodelinghealthyfoodchoices.Theyalsoremendlimitingtelevisionandviewingtimetaomaximumoftwohoursaday.Thepassageismainlyabout.Americanlivinghabitsbestpreventionforobesitychildren'sself-esteemhealthyfoodforchildrenBymentioningthefourpiecesofadvicefromanewstudy,theauthorwantstoshow.A.hehasbenefitedfromithesharesthesameopinionwithAshleyCrossmantheimportancetoobeytherulestheoriginoftheadviceTheunderlinedword“traits”means.A.charactersB.testsC.favouritesD.curesItcanbelearnedfromthelastparagrap