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学普试卷 2024届高三第五次·信息调研卷(五)数学试卷答案

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betaken.Therestwilltakecareofitselfifyoukeepatit.Onestepatatime.That'sthesecret.Thenhewrotedownanoldmottoontheblackboard-thelongestjourneystartswithasinglestep.Havingheardhisstaircaseanalogy(),weunderstoodwhyheaskedusthequestionandwesawhiminanewlight.Mostofmyclassmatesscoreddistinctions(成绩优异)inmaths.AndIwentontobecomeanEnglishteacher.Tothisday,wheneverIpassonMrIyer'sinvaluableadvicetomyownstudents,theybrightenupattheprospectofalighteracademicburden24.Whatisthemainideaofthefirstparagraph?A.ThewayMrIyertaughthisstudentsmaths.B.Thereasonwhymathswashardfortheauthor.C.Thestudents'pointsofviewonMrIyer'scharacter.D.Thebriefintroductionoftheauthor'smathsteacher,Mrlyer.25.WhydidMrIyerstopsolvingamathematicalprobleminclass?A.Mrlyerwasalittletiredandwantedtohavearest.B.Somestudentsmadetroubleandaffectedtheclass.C.Themathematicalproblemwasratherpuzzling.D.Somestudentsseemedimpatientandupset.26.Whatisthesecretofreachingone'sgoalaccordingtoMrlyer?A.Thereisonlyonestepbetweensuccessandfailure.B.Takeactionquicklyandmakeprogresslittlebylittle.C.Itisimportanttomakeuseofagoodopportunity.D.Don'thesitatetoaskforhelpwhenmeetingwithbarriers.27.HowdoestheauthorlikeMrIyer'sadvice?::A.Strangeandimpractical.B.Incorrectandmisleading.C.Meaningfulandvaluable.D.SimpleanduninterestingODifferentweathermakespeoplefeeldifferent.Itinfluenceshealth,intelligenceandfeelings.InAugust,itisveryhotandwetinthesouthernpartoftheUnitedStates.Peopletherehavehearttroubleandotherkindsofhealthproblemsduringthismonth.IntheNortheastandtheMiddleWest,itisveryhotatsometimesandverycoldatothertimes.PeopleinthesestateshavemorehearttroubleaftertheweatherchangesinFebruaryorMarch.Theweathercanalsoinfluenceintelligence.Forexample,ina2018reportbyscientists,IQsofagroupofstudentswereveryhighwhenaverystrongwindcame,butafterthestrongwind,theirIQswere10%below.Thewindcanhelppeoplehavemoreintelligence.Veryhotweather,ontheotherhand,canmakeitlower.StudentsinmanyschoolsoftheUnitedStatesoftengetworseonexamsinthehotmonthsoftheyear(JulyandAugust).Weatheralsohasastronginfluenceonpeople'sfeelings.Wintermaybeabadtimeforthinpeople.Theyusuallyfeelcoldduringthesemonths.Theymightfeelunhappyduringcoldweather.Butfatpeoplemayhaveahardtimeinhotsummer.Atabout18C,peoplebecomestronger.Lowairpressuremaymakepeopleforgetful.Peopleleavemorebagsonbusesandinshopsonlow-pressuredays.Thereis"goodweather"forworkandhealth.Peoplefeelbestatatemperatureofabout18C.Areyoufeelingsad,tired,forgetful,orunhappytoday?Itmaybetheproblemofweather.28.WhendopeopleintheNortheastinAmericahavemorehearttrouble?A.InFebruary.B.InJuly.C.InAugust.D.InNovember.29.Whichisnotmentionedinthetextaboutwhatweatherhasaneffecton?A.People'shealth.B.People'sappearance.C.People'sintelligence.D.People'sfeelings.

16.(9分)我国发射的“天问一号”探测器成功进入环绕火星的轨道,开启了我国首次火星探测之旅。假定探测器贴近火星表面绕火星做匀速圆周运动,经时间,探测器运动的弧长为S,探测器与火星中心连线扫过的圆心角为θ,,已知引力常量为G,t小于探测器绕火星运行的周期,不考虑火星自转的影响,求:(1)探测器的环绕周期;(2)火星的质量;(3)火星表面的重力加速度。