安徽省寿春中学2024年春学期七年级第四次(期末)学科检测试题(数学)

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安徽省寿春中学2024年春学期七年级第四次(期末)学科检测试题(数学)试卷答案

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听力原文:Text1M:Mary,whichkindofmusicdoyoulikebetter,poporjazz?W:Well,Ihavenoearformusic.Thetwoarethesametome.Sowhat'syourfavoritekindofmusic?M:Icanneverlistentorockenough.Text2M:Dear,whyareyousoworriedaboutAlex?Didhefailtheexam?W:Notreally.Hedoesn'tstudyhardenough,sohefallsbehindalotfromotherstudents.M:Takeiteasy.I'llgotohisschooltohaveatalkwithhisteacher.Text3W:Jackson,doyoustilllivewithyourparents?M:No.Imovedoutlastmonth.I'vealreadydecidedtoliveonmyown.W:Howcanyouaffordtherent?M:I'vebeenemployedbyanewcompany.Text4W:Sir,don'tforgetyour9:30meetingwiththedirectorsfromallthedepartments.M:Yes,Iremember.Afterthatone-hourmeeting,wewillhaveaten-minutecoffeebreakandthenacallwiththeheadquarters,right?W:Yes,that'sright.Text5M:AkindoffishnamedtheBrazilianGuitarFishisindangerofdyingout.W:Why?Itisterrible!M:Becauseofover-fishing,thenumbershavebeenlargelyreduced.W:Well,inordertoprotectthesearesources,manycountrieshavepassedlawstolimitthefishingseasonandtheamountoffishing.Text6W:Harry,let'splaysomeping-pongtoday.M:I'dlovetoplayasetortwo.Butmyrightarmhurts.I'vedecidedtostopplayingping-ponguntilitfeelsbetter.W:Well,howaboutgoingskating?M:I'dliketo,butmykneehurtstoo.W:Harry,stopmakingexcuses.You'rejustlazy.M:No,I'mnot.YouknowthereisabasketballmatchonTVtoday.Let'sjuststayhomeandwatchit.W:OK,youstay,andIwillplaywithHelen.Text7M:Mom,Dadcalledandsaidthathewouldn'tbehomefordinner.W:Didhesaywhy?M:Yes,hesaidthatoneofthemenwassickandhewasgoingtostayfortheafternoonshift.W:Didhesaywhenhewouldbehome?英语试题参考答案第2页(共6页)

分析先对函数式配方,y=x2-3x+3=(x-$\frac{3}{2}$)2+$\frac{3}{4}$,再根据自变量的范围和函数图象得出值域.

解答解:y=f(x)=x2-3x+3=(x-$\frac{3}{2}$)2+$\frac{3}{4}$,
该函数的图象为开口向上的抛物线,
且对称轴为x=$\frac{3}{2}$,
当x∈[0,3]时,函数先减后增,即,
f(x)min=f($\frac{3}{2}$)=$\frac{3}{4}$,
f(x)max=f(0)=f(3)=3,
所以,函数的值域为[$\frac{3}{4}$,3],
故答案为:[$\frac{3}{4}$,3].

点评本题主要考查了二次函数的图象和性质,涉及图象的对称性单调性和值域,属于基础题.