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普高联考2023-2024学年高三测评（一）数学.试卷答案

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26.Whenami'foundtionAWAKENbor?A.n1979.B.InSeptember2001.C.In2006.D.InAugust2021.27.Whatcanwefomthelastparagraph?A.WomeninAfghanistanenjoyequalpayforequalwork.B.Womenworldwidehaveequalrightsandopportunities.C.Theworldneedstoofferfreeeducationtowomen.D.Theworldoughtnottoignorewomen'svalues.Anedysugeststhatsmokefromwildfirehangehowoudrerandoetorainfl.TheresearesrpartsoftheUnitedStatesarenexperinngdroughtcondtonterseroildfreactityCloudscontaincollectionofwaterdropletsthatformfromvaporintheatmosphere..Whenthesedropes（凝s结）)ontoeachotherwithinacloud,theybecomehendvlsButtheteroqresidsubstanceforthevaportoattachto.DifferentkindsofparticerisingupfromtheEarth'ssurfacecanreachcloudsandmakethisprocesspossible.Thenewstudyfoundthatsmokefromwildfirescontainssmallparticlesthataffectthewaydropletsforminclouds.Themaineffectwasthenumberofwaterdropletsformed.Theteamreportedthatsmokycloudscontainedaboutfivetimesthenumberofdropletsasnonsmokyclouds.Butdataalsoshowedthatthedropletsinsmokycloudsweremuchsmaller,abouthalfthesizeofthoseinthecloudswithoutwildfiresmoke.Itisthatsizedifference,theresearcherssay,thatcouldreducetheamountofrainfall.Thisisbecausesmalldropletsarelesslikelytogrowandeventuallyfalltothegroundasrain."Becauseoftheirsmalldropletsizes,thesesmokycloudsareexpectedtoreflectmorelightandproducelessrainthancloudsincleanair,"thestudystates.ThefindingscouldmeanthatactivewildfireseasonsinthewesternU.S.mayinfactleadtolessrainandmoredrought,theresearcherssaid."Weweresurprisedathoweffectivetheseprimarilyorganicparticleswereatformingclouddropletsandwhatlargeimpactstheyhadonthemicrophysics(微观物理)oftheclouds,”saidCynthiaTwohy,leaderofthenewstudy.Twohyalsonotedthatdifferentkindsofcloudsbehavedifferently.Thecurrentstudyexaminedchangesinsmallcumulusclouds.Otherkindsthatsitmuchhigherintheatmospherecancauseheavystorms,shesaid.Twohyadded,"Iamhopingtheseresultswillleadtodetailedregionalmodelingstudiesthatwillhelpusunderstandtheactualimpactofsmokeoncloudsandclimate."28.Whydidtheresearchersdothestudy?A.Theyaren'tsurehowwaterdropletsformfromvapor.B.ThereisagreatclimatechangeinAmerica.C.TheUShasseriousdroughtafterwildfires.D.Theywonderhowsmokycloudsappear.29.Whatisacharacteristicofsmokyclouds?A.Theytendtoreflectmorelight.B.Theyhavetheabilitytoformvapor.C.Theycontainmoredropletswhicharelargerinsize.D.Theyhavefewerparticlesforthevaportoattachto.30.Whatcouldsmokycloudsleadto?A.Morestorms.B.CoolerweatherC.Warmerweather.D.Lessrainfall.31.Whatisthemainideaofthetext?A.TherearemanyreasonsfortheUSdrought.B.Wildfiresmokecanmakecloudsproducelessrain.C.Organicparticlesplayanimportantroleinformingclouds.D.Humanshavetofacetheseriousconsequencesofwildfires.【2023高考模拟信息试卷（三）·英语第4页（共8页）】

分析作出可行域，平移目标直线取最值可得4a+b=9，可得0＜a＜$\frac{9}{4}$，消元可得2a²+b²=18a²-72a+81，由二次函数区间的最值可得．

解答解：作出$\left\{\begin{array}{l}{y≤1}\\{x+y+1≥0}\\{x-2y-2≤0}\end{array}\right.$所对应的可行域（如图阴影），
变形目标函数可得y=-$\frac{a}{b}$x+$\frac{1}{b}$z，
平移目标直线可得当直线经过点A（4，1）时，z取最大值，
∴z_max=4a+b=9，由a＞0，b＞0可得b=9-4a＞0，
解得a＜$\frac{9}{4}$，故0＜a＜$\frac{9}{4}$，
∴2a²+b²=2a²+（9-4a）²=18a²-72a+81，
由二次函数可知当a=-$\frac{-72}{2×18}$=2时，上式取最小值9
故选：C．

点评本题考查简单线性规划，准确作图是解决问题的关键，属中档题．

普高联考2023-2024学年高三测评（一）数学.