2025届北京市房山区名校高中英语试题习题：导数压轴题之隐零点问题含答案

2025届北京市房山区名校高中英语试题习题：导数压轴题之隐零点问题注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置．3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效．5．如需作图，须用2B铅笔绘、写清楚，线条、符号等须加黑、加粗．Ⅰ.单项选择1、Mostpeopleare______buildingapaperfactorynearhere.Theyareworriedthattheriverwillgetpolluted.A．for B．with C．against D．beyond2、Whatsubjectdoyouchooseforyourschool________/ˈprɒdʒekt/?A．private B．primary C．project D．purpose3、—istheYangtzeRiver?—It’s6397kilometers.A．HowmuchB．HowheavyC．HowlongD．Howbig4、Somenewcomputers________tothatvillageschoollastmonth.A．giveB．aregivenC．gaveD．weregiven5、---Lisa,wouldyouliketoclimbYueluMountainwithmetomorrow?---I'dloveto,butIhavethedrivingtesttomorrow.Let’smakeitday.A．other B．another C．theother6、Theboyisoldenoughtodress____now.A．himself B．herself C．myself7、—DoyouknowtheGreatWall?—NextFriday.A．whenwillwevisit B．whenwewillvisitC．Howwillwevisit D．Howwewillvisit8、—Whydon’twedomorningexercisesthismorning？—Becauseofthebadweather.Thehaze(雾霾)will_________ourhealth.A．provideB．disappearC．influenceD．encourage9、---Mom,mykneeshavegone___myjeans.---Nokidding!Ijustboughtitforyoulastweek.A．off B．on C．through D．out10、--Dad,Ihadaquarrelwithmydeskmateyesterday.Couldyoutellme_________toaskforforgivenessfromhim?--Ofcourse.Youcansaysorrytohimfirst.A．whatIshoulddo B．howcanIspeakC．whereIcanfindhim D．whenIcouldcomebackⅡ.完形填空11、Threesmallfishlivedinthesea.Whentheywereveryyoung,theirparentsdied.Theyhadtolookaftereachotherdayafterday.Finally,theygrewupandwere1toswimdeeperandfurther.Onemorning.thethreefishwere2toashallow(浅)waterbyabigwave(浪).Asmall3wastakenthere.too.Itwashardforthefishtogobacktotheseabecausetheboatwasfightinfrontofthem.Thelargestfishrealizedthattheywerein4andsaidtheyhadtofindawaytoleavethereasfastaspossible.Thesecondlargestfish5withhiselderbrother,buttheyoungestonedidnot.Hesaidthattherewasmuch6fortheiractivities,sohewouldnotworryatallandstillswamaround7Atlast,thelargestfishreturnedtothe8byjumpingoverthelowestpartoftheboat.Thesecondlargestfishalsosucceededinjoininghiseiderbrotherintheothersideofwater9theyoungestonedidn'tfollowthemandstillswamjoyfully.Twohourslater,whenthe10roseup,thewaterinthesmallshallowcornerdriedup.Thefishwhodidnottrytoreturntotheseadiedoflack(缺乏)ofwater.1．A．afraid B．sad C．pleased2．A．allowed B．given C．taken3．A．tree B．boat C．stick4．A．safety B．danger C．peace5．A．agreed B．talked C．compared6．A．time B．food C．water7．A．slowly B．luckily C．happily8．A．sea B．river C．lake9．A．And B．But C．So10．A．storm B．moon C．sunⅢ.语法填空12、LeiFengDayisonMarch5.Morethanfiftyyearsago,ChairmanMaocalledonpeopleto“learnfromLeiFeng”.IsthespiritofLeiFengoutofthedate(过时)now?Somepeopleshowusthatit1．(notbe)outdatedyet?Hereisatruestoryaboutthespirit.Afterthe2014collegeentranceexamination,XingSirui,a17-year-oldgirlfromDongying,waitedfortheresult.OnJune24,whileshe2．(walk)alongtheQingfenglake,shesuddenlyheardsomeone3．(cry)forhelp.Shestoppedhurriedlyandlookedaroundforthevoice.Afterseeingayoungwomaninthelake，shejumpedintothewaterbravely,4．(keep)herheadabovethewaterandtriedtopullherbacktothebank.Ittookherabout45minutes5．(finish)thejob.Atlast,thewoman6．(save),butXingSiruileftquietlywithout7．(say)anything.ShewaspraisedhighlyforherbehaviorandwaschoosenastheDongyingFinestGirl.Inrecentyears,itiswronglyconsideredtobeoldfashiontolearnfromLeiFeng.XingSuruiriskedhislifetosaveastrangerwhomshedidn’tknowatall.ShesetsanexampleforusChinese.Infact,somepeoplearoundus8．(do)thesamethingsforthesocietylikeher.Inmyopinion,eveninmoderntimes,we9．(help)eachothertobuildaharmonious(和谐的)societyandthenourcountry10．(become)betterandbetter.Ⅳ.阅读理解A13、“MydearMrBennet,”saidhisladytohimoneday,“haveyouheardthatNetherfieldParkislet(出租)atlast?”MrBennetrepliedthathehadnot.“Butitis,”returnedshe,“forMrsLonghasjustbeenhere,andshetoldmeallaboutit.”MrBennetmadenoanswer.“Donotyouwanttoknowwhohastakenit?”criedhiswifeimpatiently“Youwanttotellme,andIhavenoobjection(反对)tohearingit.”Thiswasinvitationenough.“Why,mydear,youmustknow,MrsLongsaysthatNetherfieldistakenbyayoungmanoflargefortune(财富)fromthenorthofEngland;thathecamedownonMondaytoseetheplace,andwassosatisfiedwithitthatheagreedimmediatelywithMrMorris,theownerofNetherfield,andsomeofhisservantsaretobeinthehousebytheendofnextweek.”“Whatishisname?”“Bingley.”“Ishemarriedorsingle?”“Oh!Single,mydear,tobesure!Asinglemanoflargefortune;4or5,000ayear.Whatafinethingforourgirls!Itisprobablethathemayfallinlovewithoneofthem,andsoyoumustvisithimassoonashecomes.”“Iseenochanceforthat.Youandthegirlsmaygo,oryoumaysendthembythemselves,whichperhapswillbestillbetter;for,asyouareashandsomeasanyofthem,MrBingleymightlikeyouthebestofall.”“But,mydear,youmustindeedgoandseeMrBingleywhenhecomesintotheneighbourhood.”“ItismorethanIcanbesure,Iassure(向……保证)you.”“Butconsideryourdaughters.SirWilliamandLadyLucashavedecidedtogo,foringeneral,youknowtheyvisitnonewcomers.Indeedyoumustgo,foritwillbeimpossibleforustovisithim,ifyoudonot.”ButinfactMrBennetwasamongtheearliestofthosewhowaitedtovisitMrBingley.Hehadalwaysplannedtovisithim,thoughtothelastalwaysassuringhiswifethatheshouldnotgo.1．HowdidMrsBennetfeelwhensheheardthatBingleywouldmovethere?A．Excitedandhopeful.B．Nervousandcurious.C．Surprisedandcrazy.D．Pleasedandproud.2．WhydidMrBennetshownointerestinMrBingley’smovingtherewhenhiswifetalkedaboutit?A．Becausehisdaughterswerenotprettyenough.B．Becausehiswifewasprettierthanhisdaughters.C．Becausehedidn’tcareabouthisdaughters’happiness.D．Becausehedidn’twanttoshowhistruefeelingstoothers.3．Whatdoestheunderlinedword“that”mean?A．MrBingleyhaddecidedtolivethere.B．MrBennethimselfwouldvisitMrBingley.C．MrBingleywouldlikeMrsBennetbest.D．MrBingleywouldfallinlovewithoneoftheirdaughters.4．WhydidMrsBennetmention“SirWilliamandLadyLucas”?A．ToshowMrBingleywaswellworthvisiting.B．ToshowSirWilliamandLadyLucasweretheirfriends.C．Toshowitwaspoliteforacoupletovisitanewcomertogether.D．ToshowSirWilliamandLadyLucasweretooproudtogetalongwellwith.B14、SangLanisaformermemberofthenationalwomen’sgymnasticteam.ShehurtherselfseriouslyinacompetitionattheGoodwillGamesheldinLongIsland,NewYorkin1998.Foralongtimeshecouldnotmoveherarmsandlegs.Andherbodyfrommiddlechestdowncouldnotfeelanything.Shehasbeenonawheelchairsincethen.Althoughshewasdisabled,SangLanbelievedthatshewouldwalkagainoneday.Shekeptonexercisingallyearround,andwassurethatwouldstandup.WhenshewasinNewYork,shecaughttheheartsofAmericans.Shesaid“Getupfromwhereyoufall.”Somanypeoplecalledher“abraveandunbelievablegirl”.ShebecameaninternationalsymbolofcourageandwasverypopularintheUnitedStates.ThebravegirlhasbeenacollegestudentinPekingUniversitynow.Herdreamofgoingtocollegehascometrue.“Shewasbusywithtrainingandcontestsbeforetheaccident,”Sang’smothersaid,“andnowshetakesgreatinterestinstudyingandworksveryhard.”1．FromthestoryweknowthatSangLannow.A．isstudyinginauniversityB．islivinginNewYorkC．isasportsgirl2．Theaccidenthappened.A．inBeijing.B．inPekingUniversity.C．inNewYork.3．SangLanbecameaninternationalsymbolofcouragebecauseshe.A．wasalwayssmilingB．wasagoodstudentC．facethechallengesbravely4．SangLansaid“Getupfromwhereyoufall.”meansinChinese.A．起来就在那儿摔倒B．哪里摔倒哪里起来C．摔倒了要起来5．FromthestorywecangettoknowthatSangLanis.A．abeautifulgirlB．abravegirlC．asickgirlC15、Parentstodayalsoworryabouttheirchildren’sdiets.Somedoctorsgivethefollowingadvice：Teenagersshouldn’teattoomuchjunkfood.

Teenagersshouldn’teatfoodwithtoomuchsalt.Saltcancausehighbloodpressureinthefuture.

Teenagersshouldeatfoodwithlessfat，oilandsugar.

Teenagersneedtoeatsomefruitsandvegetableseveryday.Fruitsandvegetablesarerichinvitaminsandhavelittlefat.

Teenagersneedtodrinkmoremilk.Milkwillhelptheirbonesgrow.

Teenagersneedtoeatbreakfasteveryday.Thisisgoodfortheirbodiesandminds.

Teenagersshouldn’teattoomuchjunkfood.

Teenagersshouldn’teatfoodwithtoomuchsalt.Saltcancausehighbloodpressureinthefuture.

Teenagersshouldeatfoodwithlessfat，oilandsugar.

Teenagersneedtoeatsomefruitsandvegetableseveryday.Fruitsandvegetablesarerichinvitaminsandhavelittlefat.

Teenagersneedtodrinkmoremilk.Milkwillhelptheirbonesgrow.

Teenagersneedtoeatbreakfasteveryday.Thisisgoodfortheirbodiesandminds.

1．（小题1）Accordingtothedoctors’advice，whatdoesjunkfoodinclude?A．Milkandvitamins.B．Fruitsandsugar.C．Vegetablesandsalt.D．Fat，oil，saltandsugar.2．（小题2）Inthispassage，doctorsthinkthatteenagersshouldeatmore.A．foodwithnovitaminsB．fatandsugarC．vegetablesandfruitsD．saltandoil3．（小题3）Thebesttitleforthispassageis.A．BadHabitsB．JunkFoodC．UnhealthyFoodD．AdviceonHealthyEatingD16、Allourfoodcomesfromthesoil.Someofuseatmeat,butanimalsliveonplants.Iftherearenoplants,wewillhavenoanimalsandmeat.Sothesoilisnecessaryforustolive.Thetopofgroundisusuallycoveredwithgrassorotherplants.Plantsgrowinsoil,whichhasadarkcolor.Thisdarksoilishumus.Deadleaves,deadplantsandanimals’wastemakeit,butthistakesalongtime.Whenthehumushasbeenmade,plantscangrowwellinit.Allsoilneedsfood.Ifwedon’tgiveitany,theplantswillbeweak.Animals’wasteisthebestfoodforthesoil,butchemicalfertilizers(化肥)arealsoveryuseful.Thesamecropshouldnotbegrowninthesameplaceeveryyear.Itisbettertohaveadifferentcrop.Achangeofcropandtheuseofagoodfertilizerwillkeepthelandingoodcondition.Whenthesoilisdry,thewindblowsitaway.Sometimesheavyraincarriesthehumusdowntoariver.Peopleshouldgrowmoreandmoretreesandgrasstostopwindfromcarryingthehumusaway.Ittakeshundredsofyearstomakehumus,andsowemustsaveeverybitofit.Withoutsoil,wherecanwegrowfood?1．Fromthetext,weknowpeopleliveon_________.A．animalB．plantC．meatD．soil2．Theword＂humus＂means_________inChinese.A．微生物B．土壤C．腐殖土D．粘土3．Weshould________tokeepthesoil.A．givemorefertilizersB．killmoreanimalsC．makemorehumusD．growmoretreesandgrass4．Weshouldsaveeverybitofhumus,because_________.A．ittakesalongtimetomakehumusB．themorehumusinthesoil,thebetterplantsgrowC．thechemicalfertilizersareexpensiveD．AandB5．Thebesttitleofthisarticleshouldbe_________.A．SoilisnecessarytopeopleB．Thesamecropcan’tbegrowninthesameplaceeveryyearC．Soil’sfoodischemicalfertilizersD．HumusishardtomakE17、AsurveyofreadinghabitsshowsadultChineseread7.78booksayearonaverage(平均),andchildrenandteenagersunder17read8.81books,accordingtosurveyresultsreleasedonWednesdayinBeijing.Thisyear’ssurvey,the15thedition,wasconductedandreleasedbyChineseAcademyofPressandPublicationstartingin1999.Thesurveyfocusedonthedatain2017.“Comparedwith2016,growthwasstable,”saidXuShengguo,amemberoftheacademy’sresearchteam.“Weseeitistheresultofgovernmentefforts.Italsoshowsthereadingplatformsaredifferent.Besidesbooksinprint,therearee-booksoncomputers,smartphonesandkindles.”Xusaidalthoughthenumberisstillrising,theaverageofbooksChinesepeoplereadareoutnumberedbyJapanwith11,SouthKoreawith9,Francewith8andtheUnitedStateswith7.Thesurveyfound67.5percentofurbanresidents(城市居民)hadahabitofreadingbooksin2017,while49.3ruralresidents(农村居民)did.Inrecentyears,digitalreadinghasgrowninthecountryside.73percentofadultChinesereaddigitally,includingonline,mobile,digitalreadersandsmartphones,comparedto68.2percentin2016.Whenitcomestofavoritetypesofbooks,Chinesereadersloveliteraturemost,followedbylifestyle,historyandpsychology.Asfordigitalreading,urbanlovestoriesarethemostpopular,followedbyhistory/military,literatureclassicsandfantasy.Otherinterestingpointsfromthesurvey:●Onaverage,aboutoneintenadultChinesereadsmorethantenbooksinprintin2017,andaboutoneoftwentyreadsmorethantendigitalbooks.●12percentofChinesereadbooksformorethanonehouradayonaverage.●AdultChinesespent80.43minutesadayontheirsmartphonesin2017,amorethansix-minuteincreasefrom2016.Duringthisperiodoftime,anaverageof27minutesisspentonWeChat.●22.8percentofadultChineselistenedtoaudiobooksregularlyin2017,anincreaseof5.8percentcomparedto2016.1．Howmanywayscanpeopleusetoreade-booksaccordingtoPara2?A．One.B．Two.C．Three.D．Four.2．Whatisthemeaningoftheunderlinedsentence“Comparedwith2016,growthwasstable.”?A．ThebooksChinesereadin2016onaveragearemorethanthosein2017.B．ThebooksChinesereadin2016onaveragearefewerthanthosein2017.C．ThebooksChinesereadin2016onaverageareasmanyasthosein2017.D．ThebooksChinesereadin2016onaveragearebetterthanthosein2017.3．HowlongdidChinesespendontheirsmartphonesin2016?A．74.43minutes.B．80.43minutes.C．27minutes.D．86.43minutes.4．WhichofthefollowingisTRUEaccordingtothepassage?A．Chineseonlyreadbooksinprint.B．Chineseloveliteratureclassicsmostfordigitalreading.C．Moreandmoreruralresidentsprefertohavedigitalreadingtheseyears.D．12percentofadultChinesereadbooksforoveronehouradayonaverage.5．Thepurposeofthepassageisto_________________.A．showuswhyChinesereadbooksB．encouragemoreChinesetoreadonthesmartphonesC．talkaboutthebasicsituationofChinesereadingin2017D．proveChineselovereadingbetterthanpeopleinanyothercountryin2017F18、YUTIAN,Sept.6—Twenty－sevenstudentsofaprimaryschoolinYutianCountyofTangshaninHebeiProvincewerereceivingmedicaltreatmentonTuesdayafterfoodpoisoning(食物中毒).

Thesickchildrenarefromthecountry'sYuyingPrimarySchool,aprivateboardingschoolwithover800students.

LANZHOU,Aug.24—ThedeathtollinafoodpoisoningaccidentinGansuProvincehasrisentothree.ThethreediedintheNo.2People'sHospitalinLongxiCounty.

Thevictims(受害者)hadalleatenalocalsnackmadeofbeanjellyandroastchickeninWenfengTownship,LongxiCounty.

School－foodpoisoningscallforstricteractions

Aslotsoffoodpoisoningcasesamongstudentsmadethegovernmentrequire(要求)school－foodsafetyforschools.

Somepeoplesaidincreasingpricesleadtothepoorqualityofthefood.Infactit'sonlyanexcuse.Thegovernmentasksschoolstogethigherqualityschoolfood,tocookandstorefoodwell，orthepeoplewhomakeschool－foodpoisoningsmustbepunishedstrictly.SinceSeptember,sixcasesoffoodpoisoninghavetakenplaceinHebei,Jiangxi,Hunan,GuizhouandShanxi.

1．Thetwenty－sevenfood－poisoningstudentsarefrom________.A．LanzhouB．LongxiCountyC．theNo.2People'sHospitalD．TangshaninHebeiProvince2．ThenumberofthestudentsinYuyingPrimarySchoolis________.A．800 B．lessthan800C．morethan800 D．2403．ThreepeoplediedinGansubecausetheyate________.A．alocalsnake B．beanjellyandroastchickenC．fruits D．meat4．Howmanyprovincesarementionedinthepassage?A．Four. B．Five. C．Six. D．Seven.5．HowmanycaseshavetakenplacesinceAugust?A．Four. B．Five. C．Six. D．Seven.Ⅴ.书面表达19、根据联合国教科文组织的统计显示，北欧国家国民每年读书24本左右,美国人年均阅读7

本书，.韩国人11本书，日本、法国国民每年读书数量为8.4本左右，而中国国民人均读书数量低于5本。你的阅读量是多少？作为一名中学生，你应该怎么做？请根据下列表格中所给要点，写一篇英语短文。

要点读书好1.书籍是良师益友；2.获取知识,带来快乐；好(hào)读书3.让读书成为日常活动；读好书4.选择适合自己并有益于身心健康的书；5.—本好书改变人的一生。要求:1.文中必须包含表格中的所有要点,可适当发挥；2.条理