三、填空题：本大题共3小题，每小题5分，共15分.17.(15分)12.已知正项等比数列{α,}中,a=l,ag=4a4,记Sn为数列{α,}的前n项和,若Sm=63,则由正棱锥截得的棱台称为正棱台.如图,正四棱台ABCD-A;BC,D中,E,F分别为m=AD,AB的中点,AB=2A,B=4,侧面 BBCC与底面ABCD 所成角为 45°.(1)求证:BD//面A,EF；13.设A,B是一个随机试验中的两个事件,且P(A)=,P(B)=,P(AB+AB)=12，则P(A|B)=10=1(a>0,b>0)的左、右焦点分别为F,F2,倾斜角为且过点F2的若存在,求出线段 AM的长;若不存在,请说明理由.直线与双曲线的右支交于 P,Q两点,设△PF,F2的内切圆O 的半径为r,△QF;F2 的内切圆O2的半径为r2,则圆心O,O2的横坐标为_(填α或b),若|²-²|≥2α²，则双曲线离心率的最小值为18.(17分)四、解答题：本大题共5小题,共77分.解答应写出必要的文字说明、证明过程及演算步骤.已知函数f(x)=lnx+-1,aER.15.(13分)在△ABC 中,内角 A,B,C满足 sin B+sin(A一B)=sin C.(1)若α=2，求曲线 f(x)在点(1,f(1))处的切线方程；(1)求A；(2)若f(x)无零点,求实数α的取值范围；要(3)若存在x∈[1,+∞),使得f(x)≥x一alnx-1成立,求实数α的取值范围.(2)若△ABC的外接圆半径为 2,且 cos Bcos C=，求△ABC的面积.不19.(17分)线“布朗运动”是指悬浮在液体或气体中的微小颗粒所做的永不停息的无规则运动，在如16.(15分)图所示的试验容器中，容器由三个仓组成，某粒子做布朗运动时每次会从所在仓的通道封已知A(6,m+2),B(24,m+8)是抛物线 C:y²=2px(p>1)上的两点.口中等可能随机选择一个到达相邻仓，且粒子经过n次随机选择后到达2号仓的概率(1)求C的准线方程；弥为 Pn,已知该粒子的初始位置在2号仓.(2)若直线y=kx十t(k≠0)经过C的焦点,且与C交于 P,Q两点，求|PQ|+k²的最(1)求 P,P2;小值。4(3)粒子经过4次随机选择后，记粒子在1号仓出现的次数为X,求X的分布列与数学期望.【模拟信息卷·数学（四）：第3页（共4页）】【模拟信息卷·数学(四）第4页(共4页)】

五、71. When will it start72. Oh, I’ m afraid I can’ t go73. Because I have to take a piano lesson 74. Why not ask Mary to go with you75. Do you know it六、【写作指导】1．任务分析本篇书面表达要求写一封邀请函。主题：人与自我-——生活与学文体：应用文时态：以一般将来时为主人称：以第一人称和第三人称为主2．行文布局本篇书面表达可按照以下框架完成。开头：说明此封邀请函的目的主体：介绍校园音乐节的具体信息结尾：表达期望3．可用词（组）和句型结构说明目的：invite sb to sth, music festival, next month, extend a warm invitation to sb介绍具体信息：event, start, music hall, different kinds of, a singing competition, dance performances, pianist, fullofWhat' s more, there will be ...It promises to be ...表达期望：lively atmosphere, look forward toIt would mean a lot to me to ...【范文展示】Dear Jack.I hope all is well with you. I am writing to invite you to our school’ s music festival next month.The event will start at 8:00 am on November 25th in the school’ s music hall. There will bedifferent kinds of exciting activities, such as a singing competition, dance performances and manyinteresting games. What’ s more, there will be a famous pianist playing the piano at the festival. Itpromises to be a day full of funI believe you will enjoy the performances and the lively atmosphere. It would mean a lot to me tohave you there to share this special day. I am looking forward to seeing you at the festival!Li Hua选做题1-5 ADBAD6-10 CACDB 11-15 DACDB

31.A考查动词词义辨析。句意：但是有一天，因为紧急会议，我不得不开车去公司。A.drive驾驶；B.walk步行；C.run跑步；D.fly飞行。由后文“because of an emergency conference”和下段“didn't stop the car”可知，因为特殊情况，我不得不“开车”回公司。故选A项。32.A考查名词词义辨析。句意：就在那时，一些令人难忘的东西进人了我的眼帘。那是一个男孩站在路上，手里拿着一张海报的情景。A.sight景象；B.signal信号；C.role角色；D.departure出发。由前文“something memorable came into myeyes”可知，这里描写看到的东西，是一幕“景象”。故选A项。33.C考查名词词义辨析。句意参见上一题解析。A.map地图;B. bill 账单;C. poster 海报;D. mir-ror镜子。由后文“on thelargenotice”以及结合选项可知，他手上拿着一个“海报”。故选C项。34.A考查形容词词义辨析。句意：从海报上的礼貌用语看，他似乎出身于一个受过良好教育的家庭。A.polite礼貌的；B.funny滑稽的；C.conserva-tive保守的；D.absurd荒谬的。由后文“Thankyou for your attention，dear friends!"可知，小孩的语言“很有礼貌”。故选A项。35.B考查名词词义辨析。句意：海报上写着：“我急需钱给妈妈做手术。亲爱的朋友们，谢谢你们的关注！”。A.enquiry咨询；B.surgery外科手术；C.promotion推广；D.introduction介绍。由后文孩妈妈要“做手术”。故选B项。36.C考查形容词词义辨析。句意：失业和贫穷在这个城市随处可见。A.rare稀有的；B.ridiculous荒谬的；C.common普通的；D.attractive迷人的。由后文“No wonder we motorists drove by with-outofferingassistance”可知，失业和贫穷在这城市是“很常见”的事情。故选C项。37.D考查动词词义辨析。句意：我们被教导说，给予金钱会让人们形成一种依赖他人的生活方式，或者说使许多人不愿自已谋生。A.abandon放弃；B.spoil破坏；C.miss想念；D.develop发展，养成。由后文“it made many people unwilling toearntheirliving”可知，靠别人施舍容易让人“养成”依赖性。故选D项。38.D考查动词词义辨析。句意：当我飞快地离开那个拿着海报的男孩时，我心里非常矛盾。A.worked工作；B.climbed 攀爬；C.walked步行；D.sped加速。由前文“we motorists drove”可知，作者是开着车的，所以应是“快速使车”离开这男孩。故选D项。39.C考查形容词词义辨析。句意参见上一题解析。A.content 内容；B.calm静；C.conflicted冲突；D.celebrated庆祝。由后文几个问句“Could it be ashame? What should I do? Turn back or move on?"可知，作者心里很“矛盾冲突”。故选C项。考查动词词义辨析。句意：正当我绞尽脑汁思索40.A这些问题时，我看见一辆汽车停在男孩的前面。A.wrestled摔，绞尽脑汁处理；B.ended结束;C.helped 帮助；D.agreed同意。由后文

31.A考查动词词义辨析。句意：但是有一天，因为紧急会议，我不得不开车去公司。A.drive驾驶；B.walk步行；C.run跑步；D.fly飞行。由后文“because of an emergency conference”和下段“didn't stop the car”可知，因为特殊情况，我不得不“开车”回公司。故选A项。32.A考查名词词义辨析。句意：就在那时，一些令人难忘的东西进人了我的眼帘。那是一个男孩站在路上，手里拿着一张海报的情景。A.sight景象；B.signal信号；C.role角色；D.departure出发。由前文“something memorable came into myeyes”可知，这里描写看到的东西，是一幕“景象”。故选A项。33.C考查名词词义辨析。句意参见上一题解析。A.map地图;B. bill 账单;C. poster 海报;D. mir-ror镜子。由后文“on thelargenotice”以及结合选项可知，他手上拿着一个“海报”。故选C项。34.A考查形容词词义辨析。句意：从海报上的礼貌用语看，他似乎出身于一个受过良好教育的家庭。A.polite礼貌的；B.funny滑稽的；C.conserva-tive保守的；D.absurd荒谬的。由后文“Thankyou for your attention，dear friends!"可知，小孩的语言“很有礼貌”。故选A项。35.B考查名词词义辨析。句意：海报上写着：“我急需钱给妈妈做手术。亲爱的朋友们，谢谢你们的关注！”。A.enquiry咨询；B.surgery外科手术；C.promotion推广；D.introduction介绍。由后文孩妈妈要“做手术”。故选B项。36.C考查形容词词义辨析。句意：失业和贫穷在这个城市随处可见。A.rare稀有的；B.ridiculous荒谬的；C.common普通的；D.attractive迷人的。由后文“No wonder we motorists drove by with-outofferingassistance”可知，失业和贫穷在这城市是“很常见”的事情。故选C项。37.D考查动词词义辨析。句意：我们被教导说，给予金钱会让人们形成一种依赖他人的生活方式，或者说使许多人不愿自已谋生。A.abandon放弃；B.spoil破坏；C.miss想念；D.develop发展，养成。由后文“it made many people unwilling toearntheirliving”可知，靠别人施舍容易让人“养成”依赖性。故选D项。38.D考查动词词义辨析。句意：当我飞快地离开那个拿着海报的男孩时，我心里非常矛盾。A.worked工作；B.climbed 攀爬；C.walked步行；D.sped加速。由前文“we motorists drove”可知，作者是开着车的，所以应是“快速使车”离开这男孩。故选D项。39.C考查形容词词义辨析。句意参见上一题解析。A.content 内容；B.calm静；C.conflicted冲突；D.celebrated庆祝。由后文几个问句“Could it be ashame? What should I do? Turn back or move on?"可知，作者心里很“矛盾冲突”。故选C项。考查动词词义辨析。句意：正当我绞尽脑汁思索40.A这些问题时，我看见一辆汽车停在男孩的前面。A.wrestled摔，绞尽脑汁处理；B.ended结束;C.helped 帮助；D.agreed同意。由后文

·物理·参考答案及解析Mm(3)0.42(2分)9.BCD【解析】地球表面有G=mg,卫星B处有R²(4)小于(2分)Mm【解析】（1)小车匀速运动时有Mgsin 0-7mg一f=1G=mg’，又h=R，解得g'=g,A项错误；(R+h)²0,减小n个槽码后，对小车和槽码分别有 Mgsin θ一Mm对卫星B由万有引力提供向心力可得G1f-T=Ma,T-（7-n)mg=（7-n)ma，整理得(R+h)²n·4π²2Rmg1mm(R+h),B项正确；扇形面，则一M+7mTiM+7manmlr,单位时间内扫过的面积-S积S=Ur,△t2△t2u=uwGM1(2)相邻两计数点的时间间隔为 T=5×由G,ru=√GMr,故相r²r=0.1s,根据逐差法求出小车的加速度大小为α=同时间内，卫星A与地心连线比卫星B与地心连线扫过的面积大,C项正确；从相距最近到紧邻的相距96.4+85.4+74.2-63.0-51.8-40.6(3T)²9X0.12T T。×10-²m/s²≈1.12 m/s²，根据匀变速直线运动中D项正确。间时刻的瞬时速度等于该过程的均速度，在打“6”10.BD【解析】一开始角速度比较小时，两物块受到的=85.4+96.4点时小车的速度大小=.2T2X0.1静摩擦力提供所需的向心力，由于物块B的半径较10-”m/s=0.909 m/s,在打“7"点时小车的速度大大,所需向心力较大,则物块B受到的摩擦力先达小u=u+aT=0.909m/s+1.12×0.1m/s到最大,之后物块B受到的摩擦力不变，绳子开始≈1. 02 m/s。产生拉力,则图乙中图像6为物块B所受摩擦力大小f与角速度的方α²的关系图像，对物块B由牛-图像的斜率为k=M+7m顿第二定律可得μmg=m²·2L,解得开始产生绳na解得 M=0.42 kg。(4)若细线下端悬挂着2个槽码，小车加速下滑，槽码加速上升，槽码处于超重状态，故细线对小车的拉正确；当∞=w2时，物块A受到的摩擦力达到最大，力大于2个槽码的重力，则小车下滑过程中受到的分别对物块A和B 进行受力分析，根据牛顿第二定合外力小于5mg。律可得 μmg-T=mw²L,μmg+T=m²·2L,联立13.【解析】（1)谷粒竖直方向做自由落运动，由解得2=√3L1h=(1分)2gt²项错误,D项正确。其中 h=0.45 m三、非选择题解得t=0.3 s(1分)11. (1)A(1分)(2)水方向在恒定风力作用下，谷粒做初速度为零(2)1.0(2分）2.0(2分）9.7(2分)的匀加速直线运动。对于恰好落到B点的m=2.5【解析】（1)因为抛运动在竖直方向上做自由落体1×10-5kg的谷粒，水方向有x=运动，下落的速度越来越快，则下落相等位移的时间越来越短，水方向上做匀速直线运动，根据x=其中x=0.18m,t=0.3 sUot,可得x-x>x-x，故A项正确。解得a=4m/s²(1分）(2)小球运动到位置A时，其速度的水分量即水由 F=ma可得F=1X10-4N速度的大小为=(1分）0.05 s(3)对于质量 m'=1.5×10-5 kg的谷粒有 F=mα'(8. 6+11. 0)X10-2度=m/s=1.96m/s,速度与(1分)0.1解得α=20m/s²(1分)Ux水方向有α'=4T2解得x=0.3 m(1分）(13.4+11-8.6-6.1)×10-2m/s²=9.7 m/s²。则A2B的宽度△x=x'-x=0.12 m(1分)4X0.05214.【解析】（1)对小球进行受力分析如图所示，由衡12.(1)m(1分）M+7m条件可得F=mgsin0,其中F=k△x(1分)(2)1.12(2分）1.02(2分)解得△x=0.5L(1分)。2

语文全卷满分 150 分,考试时间 150 分钟。注意事项：1. 答题前,先将自己的姓名、准考证号填写在试和答题卡上,并将条形码粘贴在答题卡上的指定位置。 2. 请按题号顺序在答题卡上各题目的答题区域内作答,写在试卷、草稿纸和答题卡上的非答题区域均无效。 3. 选择题用 2B 铅笔在答题卡上把所选答案的标号涂黑;非选择题用黑色签字笔在答题卡上作答;字体工整,笔迹清楚。4.考试结束后,请将试卷和答题卡一并上交。5. 本卷主要考查内容:高考范围。一、现代文阅读(35 分)(一)现代文阅读I (本题共5 小题,19 分)阅读下面的文字,完成1~5 题。材料一：公共考古是查尔斯·麦克基姆西在其同名专著中最早提出的,用以定义考古学家代表公众并在公众的支持下记录并保存受到开发工程威胁的考古遗存的相关工作。这个观点在美国大受欢迎,但在世界其他地区却并未得到广泛认同。在我国，同样存在着到底是“公共考古学”抑或是“公众考古学”的讨论。不过，这种讨论并不影响公共考古是为了让考古学可持续发展以及考古成果惠及更多民众的终极目标。讨论公共考古的内涵和外延,必然会涉及对这一考古学分支的特征认知。公共性是公共考古最核心的特征,它强调的是作为全人类共有的历史文化遗产，需要回归“公共领域”,成为具有社会公共属性并且能够被公开、共有和共享的资源。公共性体现得越充分,就越能促进政府、机构、专家和民众之间的共赢,也越能实现公共考古实践的初哀。在当代中国,公众对于考古本身的学科价值没有什么质疑,甚至还表现出异乎寻常的热情。然而,公共考古各方对于涉及教育性的具体问题的讨论并不热烈。公共考古教育性之所以重要,部分与公共性相关联,部分则与考古学科本身的专业性及复杂的术语系统有关,再有就是很多考古发现与现代生活缺乏直接联系,让人们缺乏理解这些物件功能和内涵的具体情境。毫无疑问,文博机构和考古专家应该是公共考古教育的主要组织方。然而,他们在这方面的主体责任履行却并不乐观。不少考古专家会认为发现古代遗存并进行研究、阐释才是他们的核心任务，公共考古只是顺手而为或者可为可不为之事。考古学不可避免地要与社会的方方面面产生多维联系,绝不仅仅是考古学家的事。变考古学家的“他们的公共考古学”为公众的“我们的公共考古学”，支持具有一定考古基础知识的媒体、社会困体和民众开展公共考古活动才能让考古学获得坚实的公众基础和广泛的社会支持，【高三语文第1页(共8页)】25227C

1、2024年全国高考冲刺压轴卷(一)1语文(新课标)答案1、2024年广西壮族自治区普通高中学业水选择性考试冲刺压轴卷(一)1物理(广西)答案1、2024年广西壮族自治区普通高中学业水选择性考试冲刺压轴卷(一)1化学(2、高三2024普通高等学校招生全国统一考试·模拟调研卷(一)1数学XJC试题1、2024届广东省高三8月联考数学考试试题及答案显然0不是该方程的限，放网=2-兰令p钊-2r-兰，故p)=红+号-仁+型_红+-+型，22故当x

1、广西国品文化 2024学年新教材新高考桂柳压轴卷(一)1答案(化学)全国100所名校高考冲刺卷公A.a、c的电解总反应相同B.a、c的阳极发生的反应相同C.b的阴极反应为N2+3H2O+6e一2NH十3O2D.每生成1 mol NH3,a、b和c转移的电子数相同16.2、[桂柳文化]2024届高考桂柳鸿图模拟金卷(六)理数试题20.(12分)已知e·x=1+x(x≥1).(1)判断函数∫(x)的单调性；(2)关于x的不等式e>x+1在[1，十o)上恒成立，求a的取值范围；(3)证明：(e-1)ln(n1)

30. What can be inferred (推断) from the passage?35. Who is the text mainly written for?A. Parents.B. Children.D. Researchers.A. More than 100 countries take part in the project.C. Teachers.B. The OED's editors are dissatisfied with last year's revision.第二节（共5小题；每小题2.5分，满分12.5分）C. It is challenging to recognize the written form of some regional words.根据短文内容，从短文后的选项中选出能填人空白处的最佳选项。选项中有两项为多余D. It is necessary for English learners to have an Oxford English Dictionary.选项。 31. What is the main idea of the passage?Are you sleepy as the afernoon wears on? When low energy drags (拖累） you down, don't look toA. It's time to find the source of local words.a candy bar, a cup of coffe, or an energy drink for a lift. The sugar and caffine might give you animediate picup,but afe that eling disapes youl fe sey and evemre td3B. The OED aims to collect new words from locals.C. The same English words can be used to say different things.Here are some ways.810190D. The OED will include more regional words from around the globe.Let the sunshine in.DResearch suggests that just a few minutes of walking outside on a warm, clear daymay improve Playing outside can do good to children in many ways. As little as 10 or 15 minutes can supportmood, memory, and the ability to learn new information. Going outside can even improve your self-physical and mental （精神的） development.esteem.ieu37Generally speaking, children should aim to do 60 minutes of exercise per day. This could beChew a piece of sugar-free gum ( 口香糖). I's not exactly clear why, but many studies have shown that chewing gum increasesrunning, climbing, skipping, jumping or kicking a ball at the park. Exercise helps children to stay fit attentivene. Even before science confirmed it, during World War I, American soldiers were givenand keep a healthy weight. It strengthens muscles and develops their balance (衡). Exercise is alsou sq u s o si e pgum to help them focus.d360Studies have shown that playing outside can develop children's motor (运动的） skills: Gross38motor skills are our ability to make large movements with our arms or legs. There are lots of ways toWhen you're stressed, it's natural to breathe shallowly, which can decrease the amount of oxygen（氧气） that reaches cells. To lower the stress, try breathing in through your nose for four seconds,develop gross motor skills outside. For example, running around, walking on the roads which are notsmooth or climbing hills. Fine motor skills are our ability to make smaller movements often with ourholding your breath for four seconds, and then slowly breathing out for four seconds.hands. Children can develop these skills by picking up small objects.Have a drink of water.While playing outside, children can also build their vocabulary by naming the objects or animals on m op no n i p e sss , m on a essau iup othey see around them. Ask your child to describe the view or find shapes in the clouds. Some children enough water to keep your body functioning well. 39 The walk there willalso help you wake up.may find they're happier to talk outside.With fewer people around watching or overhearing them, theyPlay your favorite music.can be more adventurous with their language.aoj on juem 1uop pue yiom 1e aInok H keme Sus pue uos suoaej mof uo jnd os otMoving through new and different places can improve children’s spatial awareness (空间意识）.others’ puzzled looks, you might want to save your beautiful voice for the car.Playing outside often means children have to use their imagination and communication skills. They areA. Have a big meal.uaudlikely to have fewer toys outdoors and so have to create their own games. This can increase how muchB. Take a few deep breaths.polechildren talk to each other.C. Singing helps decrease levels of stress in your body..8jnoggueD. If you really can't get out, at least open the window.27your local area. Or set up some activities or a family sports day.E. What you need is a lasting solution to helping you feel refreshed.小共32. What does the second paragraph mainly focus on?F. Try to get to the fridge or water cooler for a refill every few hours.A. Time needed to do sports.G. Go for a walk in natural sunshine, especially in the early morning.B. Proper places for exercise.C. Sports suitable for children.D. Advantages of doing exercise.第三部分语言知识运用（共两节，满分30分）33. Which of the following a fine motor skill?第一节（共15小题；每小题1分，满分15分）A. Taking weightlifting exercise.B. Picking up stones on the beach.阅读下面短文,从短文后各题所给的 A、B、C 和D 四个选项中,选出可以填入空白处的最佳C. Walking on the roads with care.D. Playing tennis on the playground.选项。34. Why do some children feel happy to talk outside?The man was called Kevin, and he was a41 at the gymnastics school. He made sure theA. Because they have less stress from study.students did all their42,ate healthy meals and got lots of sleep,which helped tomake themB. Because they like to take more adventures.healthy and fit.C. Because they feel less watched or overheard.The gymnastics school was 43for Nadia. She liked doing maths and chemistry in theD. Because they love animals living in the wild.morning and doing gymnastic exercises in the afternoon! Afer getting her first exercise clothes, she阶段测试卷（二）第5页（共8页）阶段测试卷（二）第6页（共8页）

NT20名校联合体高一年级期末考试数学答案 (及评分细则)1.D【解析】集合A={x|3≤x4}，所以RB={x|x≤4}，那么A∩(CB)={x|3≤x≤4}故选 D2.A【解析】因为全称量词命题的否定为存在量词命题，所以命题“Vx∈（0,1],x²-4x-5>0"的否定是“3x∈（0,1],x²-4x-5≤0”.故选A319b9b3.C【解析】a+3b=x(a+3b)x(+9)>)≥6,当且仅当 即α =3b时等号成立，此29p2aab时a+3b的最小值为6.故选C1sina·cosatan α4.D【解析】由tan(α+,则sinα·cosα2）=3得1- tan αsin²α+cos²α 1+tan²α 5故选D5.C【解析】由题意n满足：(1+10%)"≥2.lg2lg 2 0.3化简得：1.1"≥2，即lg1.1"≥lg2，故nlg1.1≥lg2，又因为lg1.1>0，所以n≥=7.5，lgl.1 lg11-1 0.04所以n=8,所以至少要经过8个月，才能使月产量提高到原来的 2 倍.故选C√3-=√a²+1，解得a=√3.所以6.D【解析】因为x=622f(x)=√3sin2x+cos2x=2sin(2x+)，将函数f(x)的图象向左移个单位长度后得到g(x),πkππ=kπ(k∈Z)，所以=当k=1时，6125π有最小值.故选 D127.C【解析】函数f(x)=(1+-ln|x的定义域为(-∞0,0)U(0,+∞),er-1e*-1因为f（-x）=“+1-ln|-x|=l+e-ln|x|=-f(x),"1-e所以函数f(x)为奇函数，图象关于原点对称，故排除BD;又当010g>10g4,即a>b>c.故选 A349.BD【解析】对于A，当α=时不成立，故A不正确;b=24对于B，α+因为函数f(x)=x在(0,+∞)上是单调递增函数，所以不等bab高一数学第1 页