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山东省2024届高三模拟考试(二)2数学h试卷答案

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中国移动4G12:39@14%0D×百度网盘分享●●●(Text8)W:Hey,John.Whatareyougoingtodofortheproject?M:Idon'tknow.Iwashopingyoucouldhelpmethinkofsomething.W:Well,you'resuchagoodartist.Youcouldtalkabouthowtodrawpicturesinfrontoftheclass.M:Maybe,butwhatifImakeamistakeinfrontofeveryone?W:Comeon.You'rereallytalented.M:Um...W:Or,howaboutthis?Youcouldbringinaphotoandapencildrawingofthesamesubject.Somethingsimple,likeaflower.Thenyoucouldshowtheadvantagesanddisadvantagesofworkingwithdifferentmaterials.M:Great.Ishouldfindsomepicturesfirst.(Text9)W:Hey,Paul.You'restillhavingdinneratmyhouseonThursday,right?M:Yeah.Thanksagainfortheinvitation.IwasworriedI'dhavetospendNewYear'sEvealoneaftermyparentswenttoRussia.W:Ithinkit'sstrangethatyou'renotgoingwiththem.Isitbecauseofthecoldweatherthere?M:Notexactly.Ihavealotofworktodonextweek.W:Well,it'llbegreattohaveyoucelebratewithus.M:Howmanypeoplewillbethere?W:Let'ssee.Mygrandparents,myparents,mysister,mybrother,plusus.So,eightpeoplealtogether.M:ShouldIbringanything?W:Nope.Therewillbetonsoffood:pies,cakes,beans,sweetpotatoes...Mysisterhasalreadyvolunteeredfordessert.M:Comeon.Ihatetoshowupempty-handed.Howaboutthis?I'lltakeanicebottleofwine.Youcanneverhavetoomuchofthat.W:Well,soundsgoodtome.(Text10)M:Goodmorning,students!HappyTuesday!It'sabeautifulDecemberday,andthereareonlyfourdaysleftuntilyourwintervacation.Let'skeepworkinghardthisweek.Pleasenotethatallclasseswillfinishat2:00pmtomorrow.Becauseoftheearlyendtotheday,schoolbuseswillruntwohoursearlierthanusual.Pleasecheckthetimetomakesureyouwon'tmissyourbus.OnThursdaymorning,allstudentsandteacherswillbeattendingtheCityMusicClub'send-of-yearconcert.Don'tforgettobringbackyournotesignedbyaparenttotheheadmaster'sofficeuntil10:00tomorrowmorning.AnyonewhodoesnotbringhisorhersignednotewillremainatschoolonThursdayinthelibrarywithMissWilliams.PleaserememberthatallactivitiesafterschoolwillbecanceledonFridayafternoon,exceptforthechessclub.Ourstudentswillbetakingpartinthestatecompetition.参考答案1~5ABCBC6~10BCACC11~15BABCA16~20ABBCC2l.B细节理解题

根据四个俱乐部各自成立的时间可知，只有CherryBeachSoccerClub成立于21世纪

22.C细节理解题

根据NorthSoccerClub部分“However,totakepartinpractice,.youmustfirstcompletehealthcheck.”可知，想成为NorthSoccerClub的成员需要完成健康检查

分析（1）f（x）=cos2x$+\sqrt{3}$sin2x+1=2sin（2x+$\frac{π}{6}$）+1，由x∈[0，$\frac{π}{2}$]得2x+$\frac{π}{6}$∈[$\frac{π}{6}$，$\frac{7π}{6}$]，结合正弦函数的单调性求出f（x）的最大值和最小值；
（2）由f（A）=2解出A，代入面积公式S_△ABC=$\frac{1}{2}$bcsinA解出c，利用余弦定理求出a．

解答解：（1）f（x）=cos2x$+\sqrt{3}$sin2x+1=2sin（2x+$\frac{π}{6}$）+1，
∵x∈[0，$\frac{π}{2}$]，∴2x+$\frac{π}{6}$∈[$\frac{π}{6}$，$\frac{7π}{6}$]，
∴当2x+$\frac{π}{6}$=$\frac{7π}{6}$时，f（x）取得最小值0，
当2x+$\frac{π}{6}$=$\frac{π}{2}$时，f（x）取得最大值3，
∴f（x）在[0，$\frac{π}{2}$]上的值域是[0，3]．
（2）∵0＜A＜π，∴$\frac{π}{6}$＜2A+$\frac{π}{6}$＜$\frac{13π}{6}$，
∵f（A）=2sin（2A+$\frac{π}{6}$）+1=2，
∴sin（2A+$\frac{π}{6}$）=$\frac{1}{2}$，
∴2A+$\frac{π}{6}$=$\frac{5π}{6}$，A=$\frac{π}{3}$．
∵S_△ABC=$\frac{1}{2}$bcsinA=$\frac{1}{2}$×$1×c×\frac{\sqrt{3}}{2}$=$\frac{\sqrt{3}}{2}$，∴c=2．
∴a=$\sqrt{{b}^{2}+{c}^{2}-2bc•cosA}$=$\sqrt{3}$．

点评本题考查了三角函数的恒等变换与性质，解三角形，对f（x）进行降次化简是关键．

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