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九师联盟2023-2024学年高三押题信息卷(二)数学h试卷答案

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第二部分阅读（共两节，满分50分）第一节(共15小题：每小题2.5分，满分37.5分)阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项

AWiththearrivalofspring,chefsandrestaurateursinthecapitalcityarebusyputtingthefeelingofspringontheplate,withsomeaddingthegreencolorintheirnewdisheswhilesomeareusingthefreshseasonalingredientsfortheirspecialspringmenu.FriedhairtailandbambooshootChefZhaoRenliangfromMacaoChineseRestauranthascreatedanallhairtailfeasttocelebratethespringseason.Thefriedhairtailandbambooshootisonehighlightasthedebonedfishistender,whiehmatchesperfectlywiththecrispspringbambooshootandgreenpepper.PorkcutletKatsuSandoPopularforthedishesthatgowellwith-wine,Suzyrestauranthaslaunchedmoreoptionsthisspringtoprovidearelaxingafter-workspot.BothporkcutletKatsuSandoandtheWagyubeeftartareareworthtrying,aswellasthespicyJiangxidishes,whichmayneedanotherdrink.MarinatedcrabwithYuzuTapiocaItalianchefFabioiswakinghiscustomersupafterthelongwinterwithhisMediterraneancookingstyleatEuropeancontemporaryrestaurantFresco.Hisnewspringmenuhighlightsseafoodincludinglobster,oyster,crab,andseasnails.Thebalconyoftherestauranthasreopenedrecently,sothedinerscanenjoyaholiday-stylemealwithfriendsinthebustlingcity.FriedmorelwithpeasauceFusionrestaurantSomeSomeisofferingaSoutheastAsian-stylespringmenuwithcolorfuldishesthattastefreshandlight.Thefriedmorelwithpeasauceisonemusttrythatthemorelsarestuffedwithbeef,porkandchickenfillingandthepeasaucebalancethegreaseofthemorelsjustwell.1.Whichdishwillyouchooseifyouwanttohaveitwithwine?A.Friedhairtailandbambooshoot.B.PorkcutletKatsuSando.C.MarinatedcrabwithYuzuTapioca.D.Friedmorelwithpeasauce.22.WhatcapwedowheneatingthedishofEuropeanstyle?A.Wecanfeeltheperfectmatchofthedebonedfishandspringbamboo.B.Wecantryfriedmorelsstuffedwithbeef,porkandchickenfilling.C.Wecansitintheopenairandenjoythedeliciousmealswithfriends.D.Wecandrinkwinewhiletastingthespicyporkcutletandbeeftartare.23Whatdothesenewdisheshaveincommon?A.Theyalladdthegreencolorinthem.C.TheyareallpreparedbyChinesecooks.B.Theyusethefreshseasonalingredients.D.Theyallremindcustomersofspring.BVeteranOksanaChusovitinaendedherlegendarycareeronSundaynightaftercompetingatarecordeighthOlympicGames.AfterfailingtosecureaspotinSunday'svaultfinal,the46-year-old,representingUzbekistan,wavedtothesmallcrowdinsideTokyo'sAriakeGymnasticsCenter,madeaheartshapewithherhandsandbrieflycried.BorninUzbekcapitalTashkentin1976,Chusovitinatookupgymnasticsatage7,followingherolderbrotherintothesport."Mymotherdidnotwantmetodogymnastics,shewasworriedaboutmeallthetime.IwantedtoprovetoherthatIwasnotdoingitinvain,andIthinkIeventuallysucceededinthat,"Chusovitinaoncesaidofherchildhood.ShemadeherOlympicdebut(首次亮相)atthel992BarcelonaGamesaspartofthegoldmedal--winningUnifiedteam,comprisedof(由，组成)athletesfromformerSovietstates..【高二英语第3页（共8页）】

分析利用新定义化简不等式可得到a²-a-1＞x²-x成立即可，只需a²-a-1＞x²-x的最小值即可，由二次函数求最值可得a的不等式，解不等式可得．

解答解：由已知（x-a）?（x+a）＞1成立，
∴（x-a）（1-x-a）＞1成立，
即a²-a-1＞x²-x成立．
令t=x²-x，只要a²-a-1＞t_min．
t=x²-x=（x-$\frac{1}{2}$）²-$\frac{1}{4}$，当x∈R，t≥-$\frac{1}{4}$．
∴a²-a-1＞-$\frac{1}{4}$，即4a²-4a-3＞0，
解得：a＞$\frac{3}{2}$或a＜-$\frac{1}{2}$．
故选：C．

点评本题考查新定义，涉及一元二次不等式的解集和恒成立问题，属基础题．

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