2026年度早稻田大学理工学部一般入学考试题（含详细答案解析）

2026年度早稻田大学理工学部一般入学考试题（含详细答案解析）考试说明：本试卷为早稻田大学基干理工、创造理工、先进理工学部通用一般入试真题复刻，贴合官方出题逻辑与难度。考试时长120分钟，满分200分，包含英语、数学两大科目，题型、分值、考点与官方真题一致，解析贴合日本入试阅卷标准，步骤详实、通俗易懂。第一部分英语（满分100分）题型说明：共三大题型，语法单选、长文阅读理解、英文写作，贴合早稻田理工学部英语入试核心考点，侧重学术词汇、基础语法应用与简单图表论述。Ⅰ.文法・語彙選択（各2点、計30点）次の空欄に当てはまる最も適切な語句をA～Dから選べ。1.Manytechnologicalinnovationsinmodernsocietyarecloselyassociated______continuousbasicscientificresearch.A.withB.toC.forD.in2.Theresearchteam______theexperimentforthreemonthsbeforetheyfinallyobtainedreliableexperimentaldata.A.conductsB.conductedC.hadconductedD.hasconducted3.Itiswidelyacknowledgedthat______carefulcalculationcanavoidmostengineeringconstructionerrors.A.merelyB.roughlyC.preciselyD.casually4.Thenewmaterial,______canwithstandextremehightemperatureandpressure,hasbeenappliedtoaerospaceequipment.A.whatB.whichC.thatD.who5.Onlybyimprovingcoretechnology______enterprisesgainlong-termcompetitiveadvantagesintheglobalmarket.A.canB.doC.willbeD.are6.Theresearchersinsistedthattheconclusion______basedonsufficientexperimentalevidenceandfieldinvestigation.A.beB.isC.wasD.willbe7.______heavyworkloadandtightschedule,theprojectteamcompletedtheresearchprojectaheadofschedule.A.DespiteB.BecauseofC.InsteadofD.Incaseof8.Thekeytosolvingenvironmentalproblemsis______balanceeconomicdevelopmentandecologicalprotection.A.maintainB.maintainingC.tomaintainD.maintained9.Thedatacollectedfromthefieldsurveyisfar______accuratethanthetraditionalstatisticalresults.A.moreB.muchC.veryD.quite10.Scientistshavefoundthatnaturalresourcesarenotinexhaustible,______makesresourceconservationextremelyimportant.A.thatB.whichC.whatD.it11.Iftheweathercondition______worsetomorrow,theoutdoorfieldtestwillbepostponed.A.getsB.gotC.willgetD.wouldget12.Theuniversitylaboratoryprovidesstudents______professionalequipmentandacademicguidanceforinnovativeresearch.A.forB.withC.onD.by13.______hardtheytry,individualresearcherscanhardlycompletelarge-scaleinterdisciplinaryresearchalone.A.NomatterB.HoweverC.AlthoughD.Though14.Thenewlypublishedpaper______thelatestprogressofartificialintelligenceapplicationinengineeringfields.A.coversB.containsC.includesD.concludes15.Students______masterbasicmathematicalknowledgearemorelikelytoexcelinengineeringprofessionallearning.A.whoB.whichC.whoseD.whomⅡ.長文読解（各5点、計40点）次の英文を読み、設問に答えよ。Inrecentdecades,theprevalenceofmyopiaamongteenagersworldwidehasincreasedrapidly,becomingamajorpublichealthproblem.Alargenumberofstatisticaldatashowthatthegrowthrateofmyopiacasesiscloselyrelatedtochangesinteenagers'livingandlearninghabits.Inthepast,teenagersspentmostoftheirsparetimeonoutdooractivities,whichhelpedtheireyesadjusttonaturallightandeffectivelypreventmyopia.However,withthepopularizationofelectronicdevicesandtheincreasinglearningpressure,modernteenagersspendmorethan8hoursadayonclose-rangeeyework,includingreading,doingexercisesandusingmobilephonesandcomputers.Long-termcloseeyeuseleadstocontinuoustensionofeyemuscles,resultinginthedeclineofvision.Inaddition,insufficientoutdoorexerciseisanotherkeyfactor.Naturalsunlightcanstimulatethesecretionofspecialsubstancesintheeyes,whichcanslowdownthegrowthofeyeaxisandinhibittheoccurrenceofmyopia.Nowadays,manyteenagersstayindoorsforalongtimeandlackexposuretonaturallight,whichgreatlyincreasestheriskofmyopia.Relevantresearchinstitutionspredictthatifeffectiveinterventionmeasuresarenottaken,theglobalmyopiarateofteenagerswillcontinuetoriseinthenext20years.Governments,schoolsandfamiliesneedtoworktogethertoadjustteenagers'studyandresthabits,increaseoutdooractivitytime,andreducetheincidenceofjuvenilemyopia.問1Whatisthemainpurposeofthispassage?A.Tointroducetheharmofmyopiatoteenagers'healthB.ToanalyzethecausesandsolutionsofteenagemyopiaprevalenceC.Toshowthechangesofteenagers'livinghabitsD.Topredictthefuturedevelopmentofmedicaltechnology問2WhichofthefollowingisNOTacauseofteenagemyopia?A.Long-termclose-rangeeyeworkB.LackofoutdoorexerciseC.InsufficientnaturallightexposureD.Excessivephysicalexercise問3Accordingtothepassage,naturalsunlightcan______.A.CureexistingmyopiacompletelyB.SlowdownthegrowthofeyeaxisC.HelpteenagersreducelearningpressureD.Improvetheefficiencyofclassroomlearning問4Whatcanweinferfromthepassage?A.TeenagemyopiaisentirelycausedbylearningpressureB.OutdooractivitiesplayapositiveroleineyehealthC.ThemyopiaratewillstoprisinginthefutureD.ElectronicdeviceshavenoimpactonvisionⅢ.英作文（30点）近年、若者の屋外活動時間が減少している。この現象の原因と自身の考えを120語程度の英語で記述せよ。第二部分数学（满分100分）题型说明：共四大解答题，涵盖函数、数列、几何、不等式，为早稻田理工学部数学入试核心考点，注重逻辑推导与计算应用。問1（25点）実数関数f(x)=x2−2ax+3(1)関数f(x)の頂点座標を求めよ。(2)区間0≤x≤4におけるf(x)の最小値をaを用いて表せ。(3)区間0≤x≤4における<latexx>f(x)の最小値が−1となる時、aの値を求めよ。問2（25点）数列{an}において、初項a(1)数列{a(2)数列{a(3)数列{an}問3（25点）座標平面上に2点A(1,0)、B(0,3)がある。次の問いに答えよ。(1)直線ABの方程式を求めよ。(2)直線ABと原点からの距離を求めよ。(3)点P(x,y)が直線AB上を動く時、x2問4（25点）次の不等式を解け。(1)x(2)任意の実数xに対してkx2+2kx+3>0参考答案及详细解析第一部分英语答案解析Ⅰ.文法・語彙選択答案1.A2.C3.C4.B5.A6.C7.A8.C9.A10.B11.A12.B13.B14.A15.A核心解析1.固定搭配beassociatedwith意为“与……相关联”，为学术英语高频搭配。2.时态辨析：「before」引导时间状语从句，主句动作发生在从句过去动作之前，用过去完成时hadconducted。3.词汇辨析：precisely（精确地），merely（仅仅），roughly（粗略地），casually（随意地），结合句意工程计算需精准，选C。4.非限制性定语从句，先行词为物（newmaterial），只能用which引导，不能用that。5.倒装句式：only+状语置于句首，主句部分倒装，情态动词can提前。6.时态一致：主句insisted为过去式，从句描述过去的客观事实，用一般过去时was。7.介词辨析：despite（尽管）表转折，becauseof（因为）、insteadof（代替）、incaseof（万一）均不符合句意。8.固定句型Thekeytodosth.做某事的关键，不定式作表语。9.比较级修饰：accurate比较级为moreaccurate，far可修饰比较级加强程度。10.非限制性定语从句，指代前文整句话内容，用which。11.条件状语从句，主将从现，从句用一般现在时gets表将来。12.固定搭配providesb.withsth.为某人提供某物。13.让步倒装结构However+形容词/副词+主语+谓语，意为“无论多么……”。14.词汇辨析：cover（涵盖、报道），contain（包含实物），include（包含部分），conclude（总结），论文涵盖研究进展用cover。15.定语从句，先行词为人（students），关系代词who在从句中作主语。Ⅱ.長文読解答案問1.B問2.D問3.B問4.B核心解析問1：文章先分析青少年近视高发的两大核心原因（长期近距离用眼、户外光照不足），最后提出解决对策，核心主旨为分析成因与解决办法，选B。問2：文中明确提及近距离用眼、户外运动不足、光照不足为近视诱因，过量运动并非诱因，选D。問3：原文直接对应「Naturalsunlightcanstimulate...slowdownthegrowthofeyeaxis」，选B。問4：文章指出户外活动可保护视力、预防近视，可推出户外运动对眼部健康有积极作用，其余选项表述均与原文相悖。Ⅲ.英作文解答例（122語）Inrecentyears,youngpeoplespendfarlesstimeonoutdooractivitiesthanbefore,whichhasbecomeacommonsocialphenomenon.Therearetwomainreasonsforthischange.First,academicandworkpressureisincreasing.Mostyoungpeopleneedtospendplentyoftimestudyingorfinishingworktasksindoors,leavinglittlesparetimeforoutdoorexercise.Second,therapiddevelopmentofdigitalentertainmentprovidesvariousindoorpastimessuchasonlinegamesandshortvideos,whichattractyoungpeopletostayathome.Inmyopinion,reducingoutdooractivitiesisharmfultophysicalhealthan