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邢台市第一中学2024年二轮复习质量检测英语 考卷答案

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邢台市第一中学2024年二轮复习质量检测英语试卷答案

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W:Oh,I'veneverbeenthere.Doesithavenicebeaches?M:Well,theisland'srocky,justrocks.Butthereareboatsthattakeyouonhalf-daytripsaroundtheisland,andtheystopatplacessothatyoucanswimindeepwaters.W:Thatsoundsinteresting.Arethereanysightsworthvisiting?M:There'sacastleatthetopofthehill,amuseumandsomechurchesinthetown.W:Canyouseesomewildlife?M:I'mafraidnot.W:Isee.Whatabouthotels?M:Um,Idon'twanttodisappointyou,buttherearen'tany.Yousee,notmanytouristsgothere.Butwecanstaywiththelocalpeople.W:OK.Let'sbooknow.Text9M:NowCathy,doyouknowwhenthevisitorsfromIndiaarecoming?W:Weofferthemthreechoices:theendofMarch,themiddleofAprilandthebeginningofMayThey'vechosentheearliestone,whichisgoodactuallywithexamscomingupinMay.M:Andhowmanyarecoming?Didyousayabout12?W:Yes,theysaid12atfirst,butchangedto13thismorning.M:Good,wehaveeightweekstoprepare.Herearemysuggestions:Onthefirstday,awelcomeparty,thentheycanvisittheschoolsinthedistrictonthesecondandthirddays.W:WeforgotthatthisgroupwantstolookathowcomputersarebeingusedintheclassroomM:Exactly,soIwanttoaskMrGoodmantogivethematalkonthisontheafternoonofthethirdday.W:Thatwillbeverynice.M:Andonthelastday,theywoulddosomesightseeing,wecouldtakethemonthetourofLondonbutmanyofthemmayhavealreadybeen,andScotlandwillbetoofaraway.W:Whynottakethemforawalkalongthecoast?Itshouldbeinteresting.M:Goodidea!Cathy,I'msurethey'lllikeit.Text10M:Sometimeago,afriendofminewhoworkedinapartofthecityIdidn'tknowverywellinvitedmetocallonhim.IttookmehourstogetthereandItookgreattroubletofindaproperspottoparkmycar.AsIwasalreadythreequartersofanhourlate,Iparkedmycarquickly.Atnoon,justasIwasleavingmyfriend'soffice,itsuddenlystruckmethatIhadnoideawhereIhadparkedmycar.IcouldhardlygouptoapolicemanandtellhimthatIhadlostasmallgreencarsomewhere!Walkingdownstreetafterstreet,Iexaminedeachcarcloselyandwasveryhappytoseeasmallgreencarjustbehindanoldcar.ButhowdisappointedIwastodiscoverthatthoughthecarwasexactlylikemyown,itbelongedtosomeoneelse!Feelingquitetirednow,Iwentoffforlunch.Sometimelater,Ilefttherestaurantandwalkeddownthestreet.Turningthecorner,Inearlyjumpedforjoy:mycarwasrightinfrontofme,andtherewasnoproblemthistime.Totellthetruth,drivingincrowdedcitiesisfarfrombeingapleasureanditismucheasiertowalkthantodrive.8

分析首先求出$\frac{z}{xy}$的代数式,利用基本不等式求最小值,得到去最小值时的x,y的关系,然后求$\frac{1}{x}-\frac{2}{y}+\frac{3}{z}$的最小值.

解答解:正实数x,y,z满足z=x2-xy+4y2,则$\frac{z}{xy}=\frac{x}{y}+\frac{4y}{x}-1$≥3,(当且仅当x=2y时等号成立),则当$\frac{z}{xy}$取得最小值3时,$\frac{1}{x}-\frac{2}{y}+\frac{3}{z}$=$\frac{1}{2y}-\frac{2}{y}+\frac{3}{6{y}^{2}}$=$\frac{1}{2{y}^{2}}-\frac{3}{2y}$=$\frac{1}{2}$($\frac{1}{y}-\frac{3}{2}$)2-$\frac{9}{8}$的最小值为$-\frac{9}{8}$;
故答案为:$-\frac{9}{8}$.

点评本题考查了基本不等式的运用求代数式的最值;关键是注意不等式运用的三个条件.

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关于作者: yun

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