东莞市2024-2025学年第一学期七校联考高三数学参考答案题号1234567891011答案DABD C B CABCD AD BCD1.D2.A3.B【详解】因为a-)1b,所以(a-)b=a.b-b2=0,a.b=b2=4,则cos(a,b)=a6.4=5,由于(a,)e[0,,所以(a,)=-年故选：B52W2.2244.D【详解】因为sina+cosB=-2cosa+sin=所以(sina+cosp)o所以9sin+2sinacos+cos2B=cos+2cosasinB+sin=14两式相加可得：sin2a+2 sin0sB+cos2B+cos2a+2 cosasinB+sinB=2 inccosP+-2 cosasinp=8所以2+2sim(a+B)6,解得sim(a+P)=85.C【详解】设圆锥和圆柱的底面半径为r,因为圆锥的轴截面是等边三角形，所以圆锥的母线长为1=2r,则圆锥和圆柱的高为h=√4r2-r2=√3r,所以圆锥的侧面积为S=)×2元r×1=22,圆柱的侧面积为S,=2×h=25x2,2所以圆锥和圆柱的侧面积之比为？=Y,故选：CS,36B【详解】由于“三角形数”可以写为1,3=1+2,6=1+2+3,10=1+2+3+4,15=1+2+3+4+5,,故第n层“三角形数”为1+2+3+4++n=n(”+,则第18层球的个数为171.21 c-ea奶-得令2-x2≤x2;解得x≥1或x≤-1：令2-x2>x2；解得-1

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三、非选择题：本题共5小题，共54分。11.(6分)某同学用图甲所示的装置测定当地重力加速度。长为L的摆线悬挂质量为的小球，上端固定在力传感器上；小组同学将摆球拉离衡力传感器位置，使摆线与竖直方向成很小的角度，将小球由静止释放，记录小球经过衡位置时力传感器的示数F。(1)该同学用50分度的游标卡尺测得摆球直径如图乙所示，则小球直径d=h吧0utmihhtH0123乙(2)若通过实验测出单摆振动周期为T,可得出当地的重力加速度g=(用题中所给物理量的字母表示)。(3)实验测得当地重力加速度为g,则小球经过衡位置时的速度大小为(用题中所给物理量的字母表示)。12.(8分)某物理兴趣小组要描绘一个标有“6V3.0W”的小灯泡L的伏安特性曲线，要求灯泡两端的电压由零逐渐增大，且尽量减小实验误差。实验器材除导线、开关外，还有以下器材：待测灯泡L直流电源9V(内阻不计)电流表A(量程为0~0.6A,内阻约为12)表头G(量程为0~200mA,内阻r=52)滑动变阻器（最大阻值为102）电阻箱R(最大阻值为99.92)导线、开关若干(1)小组同学决定将表头和电阻箱组装成一个量程为6V的电压表，电阻箱应与表头(填“串联”或“并联”)；电阻箱的示数应调节为R=n。(2)请在矩形框中画出实验电路图。(3)表头的示数为I1,电流表的示数为I2,则流经灯泡的电流I=,灯泡物理试题（一）·第5页（共8页）乙1×尺真题密卷·综合能力调级R

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第二节（满分25分）One possible version:The townsfolk (soon arrived,their expressions etched with concern and alarm.So stunnedwere they by the scene that they rushed towards me in a flurry.One of them,a seasoned elder witha knowing gaze,carefully examined my arm and solemnly declared that it might be broken.Withoutany hesitation,they carried me on the stretcher towards the nearby hospital,their footsteps hurriedand determined.By my side,accept these townsfolks and my friends had been making tricks,tellingfunny stories and making faces,trying their best to make me smile,which seemed to make me feel alittle better.But they failed to make me happy because of the pain.The intense pain had been overwhelmingmy soul on our way,my hands waving chaotically in the air.After what seemed a century to thehospital,ultimately made it.Not surprisingly,after the doctor's examination,I was diagnosed with afracture and arranged to be hospitalized.Lying on the bed,I stared those who cared about me,feeling a warm current into my heart.All of a sudden,my friends pulled out a kite,my losing kite!With tears in my eyes,words,which I had read again and again on the textbook,echoed in mymind."Without friendship the world is but a wilderness."-Of Friendship by Francis Bacon答案解析A篇本文是应用文。主题语境为人与社会。本文介绍了纪念历史性船坞表演，时尚服装展览，以及蝙蝠侠主题展览。21.A细节理解题。根据第一个小标题GHOST SHIPS下文中的第一句话“In memory ofthe 40th anniversary of the closure ..to shine a light on the lesser-known stories from theDockyard's history.”(为了纪念这座前皇家船坞关闭40周年，这个合作项目将嘻哈音乐、卡塔克舞蹈、壮观的场景和语言艺术结合在一起，使人们更加了解这座船坞鲜为人知的历史故事)可知，这场表演的目的是纪念这座船坞关闭40周年，揭露其鲜为人知的相关历史，故选A选项。22.B细节理解题。根据第二个小标题OUTLAWS:FASHION RENEGADES OF8OSLONDON下文中最后一句“Displaying original garments and accessories from Leigh and more than30 designers,highlights include a graphic jacket designed by Dean Bright and worn by Boy George,and a gold suit by Stephen Linard.”(这场展览展示了来自包括Leigh在内的30多名设计师的原创服装和配饰，展览亮点包括由Dean Bright设计、Boy George展示的图形夹克，以及StephenLinard设计的金色西装)可知，展览的亮点为图形夹克和金色西装，故选B选项。23.C细节理解题。根据第三个小标题BATMAN UNMASKED:THE EXHIBITION下文2025年自治区普通高考适应性检测分学科第一次模拟考试英语参考答案第2页共5页

34.Which of the following can be inferred about the supercapacitor technology?A.It is still developing and has great potential.B.It will be limited to small-scale applicationsC.It is efficient enough to help replace batteries.D.It will become widely used in everyday devices35.What is the purpose of this text?A.To present a difficult problem.B.To advocate a timely action.C.To introduce a possible solution.D.To explain a complex process.第二节（共5小题；每小题2.5分，满分12.5分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。Lying awake for hours before falling asleep is a common problem.Even if you can finally fallasleep,taking too long to fall asleep can lead to too few hours of sleep altogether.36.Sopeople having trouble falling asleep always wonder how they can sleep well.Parents know from experience that gentle music can help babies fall asleep.Science supportsthis,showing that children of all ages,from babies to elementary school children,sleep better afterlistening to comfortable music.Fortunately,children aren't the only ones who can benefit fromgentle music before bedtime.37Listening to music likely improves sleep for more than one reason.Music can promote sleepdirectly by affecting your physiology(生理机能)._38.Besides,it can also promote sleepby becoming a healthy bedtime habit.Many people can't fall asleep quickly because stressful andworrying thoughts keep them awake at night.By listening to music,the mind has something else tofocus on.With time,the practice of listening to music at bedtime becomes more effective as thebrain positively associates music with sleep.39.Studies have looked at many types of music and playlists but there isn't a clearanswer about the best music for sleep.What we do know is that researchers have typically usedeither a self-made playlist or one that has been designed especially with sleep in mind.One of themost important things on how music affects a person's body is their own musical preferences.40.For those who don't want to design their own playlist,online music services havestepped in and usually offer playlists for sleep or relaxation.A.It can guarantee sufficient sleepB.It's natural to wonder about the best type of music for sleepC.The quality and quantity of our sleep become poor as we ageD.Listening to music can reduce your stress and inspire positive feelingsE.This can have a serious effect on a person's quality of life if it continuesF.People across age groups report better sleep quality after listening to soft musicG.Useful personal playlists may include relaxing songs that have helped with sleep高三英语第5页共8页

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12.常温下，用0.1mol·LK0H溶液滴定10mL0.1mol·LpHHA溶液的滴定曲线如图4所示。下列说法不正确的是A.若a点的pH=3,则HA的电离衡常数K=10B.水的电离程度：d>c>b>aC.b点溶液中粒子浓度大小：c(A)>c(K)>c(HA)>c(H)>c(OH)101D.e点溶液中：c(K*)=2c(A)+2c(HA)图4V(KOH)/mL13.一水合硫酸锰(Ms0,·H,0)是一种粉色晶体，易溶于水，不溶于乙醇，是重要的微量元素肥料之一。工业上由天然二氧化锰粉与硫化锰矿（还含F、l,Mg、S等元素的氧化物)制备硫酸锰的工艺如图5所示[已知：硫酸锰溶液在低于40℃结晶析出MnS0,·5H,0,高于40℃结晶析出MnS04·H20]。下列说法正确的是H,SO,H02氨水MnF2 NH,HCO,稀H,SO.M8一过一氧化一调pH一除杂一沉锰一MnC0,一操作A一MnS0.·H,0滤渣1滤渣2滤渣3图5A.为了提高“溶浸”速率，H,SO4的物质的量浓度越大越好B.“溶浸”步骤中MnS与MnO,反应生成S,该反应中氧化产物与还原产物的物质的量之比为1：2C.“沉锰”步骤中改用Na,C0,溶液效果更佳D.“操作A”是蒸发结晶，在温度高于40℃趁热过滤、洗涤、干燥14.甲苯与乙酰氯(CH,C0C1)在无水A1Cl催化作用下发生反应，其反应机理及部分能量示意图如图6所示，下列说法不正确的是E(体系能量)0CH--+步骤I,H,C-t=0一H,C-C=0CH,Qπ-络合快步骤Ⅱ慢物NCH.H,CCH虚线CH0+CH.HCHg-络合物MCH步骤Ⅲ步骤ⅡCHCH.慢CH.慢+HCH,σ-络合物MH,C—C0CH,T-络合物N反应历程图6化学·第5页（共10页）

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