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江西省抚州市2024届九年级第二次质量检测数学h试卷答案

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龙岩市一级校联盟（九校）联考2022-2023学年第一学期半期考高二英语试题参考答案1-5BBAAC6-10BACAB11-15BCACA16-20CCACB21-25BCADC26-30ABCDB31-35ADCAB36-40GCEAD41-45CDABC46-50BCADD51-55CADAB56.scientists57.Totackle58.chose59.finding60.wasconvinced61.that62.farmers'63.potentially64.a65.0r第一节Onepossibleversion:Lastweekend,myfriendandIpaidavisittoXixiNationalWetlandPark.Themomentwewalkedthroughthemaingate,wecouldsmellthefragrantflowersinthespringbreeze.Weenjoyedwalkingforalittlewhileuntilwereachedthenearestpier,wherewespottedmanytraditionalbambooboats.Werentedoneandaskedtheboatmanforrowingtheboatourselves.Itwashardworkandifeltthesweatonmybackafter10minutes.Aftertheboattour,wewenttoHezhuStreetforvariouslocalsnacks.Ireallylikedthestickyricecakes.Butmyfriendsaiditwastoosugary.Helikedthesaltyfriedfishbestwhichtastedcrunchy.ItwasamazingtoseetheHezhuTowercastalengtheningshadowagainstthesettingsun.第二节：Atfirst,TomwantedtokeepitasecretandpunishBilly.However,itwasnoteasy.Hefelthischeeksblushingandasenseofguiltrisinginsideofhim.GlancingfirstatBilly,whowasstillchattinghappily,andthenatthewalletinhishand,Tomfinallymadeuphismind.HegotupandwentstraighttoBillyandhisgroup.UponseeingTomapproachhim,Billysaid,"Heyloser!Youokay?Stillwantone?""No,"replied,vejustcometoreturnyourwalletwhichyoudroppedoverthere".Billystoodshockedforasecond.Allhisfriendsweresilenttoo.ThenBillysaid,"Whyareyougivingitback?""BecauseIwastoldbymyfamilythat'Honestywon'tletyoudown.explainedTom.BillyavoidedTom'sshiningeyes.Whatfollowedwasanawkwardlylongsilence,whichwaseventuallybrokenbyTom'sstomachgrowlingloudly.Surprisingly,theproudboyreachedouthishandandasked,"Whatabouthavinglunchtogether?"BeforeTomcouldsayanything,Billyquicklyadded,"Ofcourse,mytreat."ItwasonthatverydaythatTommadehisfirstfriendinthenewschool,andhetrulyrecognizedthevalueofsincerityandhonestyinarelationship.部分答案解析：A篇应用文，介绍美国的几个著名公园

2l.B细节理解题

由第-段中的OwnedandoperatedbyKasminGallery可知

22.c细节理解题

由第三段中的ByfarthemostpopularsculptureparkinupstateNewYork,itisa500-acresculptureparkinHudsonValley可知

23.A推理判断题

文章介绍的是美国几个著名公园，所以比较可能是旅游手册

B篇记叙文

文章是对美国著名植物遗传学家GeorgeShull的生平介绍

分析（1）利用二倍角的余弦函数公式可得cos²α=$\frac{1}{4}$，结合范围α∈（$\frac{π}{2}$，π）．即可得解．
（2）由余弦定理可得：8=ME²+MF²+ME×MF，①，利用基本不等式可得ME×MF≤$\frac{8}{3}$，利用平方和公式可求得：ME+MF≤$\frac{4\sqrt{6}}{3}$，又EF+ME+MF＞2EF=4$\sqrt{2}$．从而可求△MEF的周长的取值范围．

解答解：（1）∵sin²α+cos2α=sin²α+cos²α-sin²α=cos²α=$\frac{1}{4}$，
∴可得：cosα=±$\frac{1}{2}$，
又∵α∈（$\frac{π}{2}$，π）．
∴解得cosα=-$\frac{1}{2}$，α=$\frac{2π}{3}$．
（2）∵在△MEF中，由余弦定理可得：EF²=ME²+MF²-2•ME•MF•cosα，即：8=ME²+MF²+ME×MF，①，
∴由①可得：8≥2ME×MF+ME×MF=3ME×MF，解得ME×MF≤$\frac{8}{3}$，
∴由①可得：（ME+MF）²=8+ME×MF≤8+$\frac{8}{3}$=$\frac{32}{3}$．解得：ME+MF≤$\frac{4\sqrt{6}}{3}$，
∴△MEF的周长=EF+ME+MF=2$\sqrt{2}$+ME+MF≤2$\sqrt{2}$+$\frac{4\sqrt{6}}{3}$=$\frac{6\sqrt{2}+4\sqrt{6}}{3}$．
又，EF+ME+MF＞2EF=4$\sqrt{2}$．
△MEF的周长的取值范围：（4$\sqrt{2}$，$\frac{6\sqrt{2}+4\sqrt{6}}{3}$]．

点评本题主要考查了二倍角的余弦函数公式的应用，考查了余弦定理，基本不等式，平方和公式的应用，考查了计算能力，属于中档题．

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