(2)由(1)知a,=4X5”,b,=log:学=，(8分)所以Tn=(n十1)2所以2=2分），(9分)所以十六十…+=2x[(1-2)+(分-3)++（分-）】=2x(1-)2nn+1(12分)19.【解析1I)在R△AAD与R△ACE中，给S所以Rt△A1AD∽Rt△ACE,所以∠AAD=∠CAE,…(1分)所以∠AAD+∠A1DA=∠CAE+∠ADA=90°，所以AD⊥AE.…(2分)因为AA⊥底面ABC,所以AA1⊥AB,又AB⊥AC,AA∩AC=A,所以AB⊥面ACCA,…(3分)所以AB⊥AD,…(4分)又AB∩AE=A,所以AD⊥面ABE,…(5分)所以AD⊥BE.…(6分）(2)以AB,AC,AA1分别为x,y,之轴建立如下图所示的空间直角坐标系：则点A(0,0,3),B(3,0,0),D(0,1,0),E(0,3,1),…(7分)则BD=(-3,1,0),B2=(-3,3,1),AD=(0,1,-3),(8分)设面BDE的法向量为n=(x,y,之)，则n·BD=(x,y,x)·(-3,1,0)=-3x+y=0,y=3.x,由解得n·BE=(x,y,x)·(-3,3,1)=-3x+3y+x=0,x=-6x,令x=1,得面BDE的一个法向量为n=(1,3,一6).…(10分)设直线A,D与面BDE所成角的大小为0，则sin 0=n·AD(1,3,-6)·(0,1,-3)21115nADI√46×√10230·故直线AD与面BDE所成角的正弦值为2L西230(12分)数学试题参考答案(CJ)一4

【特别声明：南宁广育图书，版椒所有，侵椒必究，未经授权，察止专我，超者完溶解性摩尔质量(g/mo物质颜色CoC12·6H,0粉红溶于水，盐酸，氨水等238[Co(NH,).ICl,橙黄溶于热水、盐酸，难溶于乙醇.氨水261.51△品的甲①图甲中仪器的名称为放斗，上述实验中的控温方法为水1拉回答下列问题：(2②图甲试管是用来制备NH,其所发生反应的化学方程式为，。2三(③)尾气吸收装置最合适选择图乙中的(填选项标号)。(④反应结束后，冷却至室温，将三颈烧瓶中混合物过滤得棕黑色不溶物，将棕黑色不溶物转移到一定量热水中，趁热过滤得到橙黄色溶液，冷却后加浓氨水，过滤，洗O上述操作中加浓氨水的的为总，洗涤选择的试剂为直涤，干燥，称量得1.5g产品。②计算本实验的产率4。。(保留三位有效数字)(⑤)某研究小组探究了不同催化剂粒度和用量对合成的影响，反应结果如下图所示。选择最佳的活性炭粒度和用量分别为☑0月L4945一40目060目00目120目足饼503205050.00.51.01.52.02.5活性炭用量/g17.(14分)氨溴索(G)是阝一内酰胺类的抗生素，可以治疗多种细菌感染。一种合成路线如下CH,CHO浓HNO,No.MnO,C,Ha浓HSO,△H2SO③NOA①B②D④Pe/HCBrNH-○>oHHCBrNH-OHNH2·HCINHBrGE化学第5页（共6页）【2024广西名校卷-11

【特别声明：南宁广育图书，版椒所有，侵椒必究，未经授权，察止专我，超者完溶解性摩尔质量(g/mo物质颜色CoC12·6H,0粉红溶于水，盐酸，氨水等238[Co(NH,).ICl,橙黄溶于热水、盐酸，难溶于乙醇.氨水261.51△品的甲①图甲中仪器的名称为放斗，上述实验中的控温方法为水1拉回答下列问题：(2②图甲试管是用来制备NH,其所发生反应的化学方程式为，。2三(③)尾气吸收装置最合适选择图乙中的(填选项标号)。(④反应结束后，冷却至室温，将三颈烧瓶中混合物过滤得棕黑色不溶物，将棕黑色不溶物转移到一定量热水中，趁热过滤得到橙黄色溶液，冷却后加浓氨水，过滤，洗O上述操作中加浓氨水的的为总，洗涤选择的试剂为直涤，干燥，称量得1.5g产品。②计算本实验的产率4。。(保留三位有效数字)(⑤)某研究小组探究了不同催化剂粒度和用量对合成的影响，反应结果如下图所示。选择最佳的活性炭粒度和用量分别为☑0月L4945一40目060目00目120目足饼503205050.00.51.01.52.02.5活性炭用量/g17.(14分)氨溴索(G)是阝一内酰胺类的抗生素，可以治疗多种细菌感染。一种合成路线如下CH,CHO浓HNO,No.MnO,C,Ha浓HSO,△H2SO③NOA①B②D④Pe/HCBrNH-○>oHHCBrNH-OHNH2·HCINHBrGE化学第5页（共6页）【2024广西名校卷-11

1.i(2-3i)=A.3+2iB.-3+2iC.看不清D.2+3i5.在长方体ABCD-AB1CD1中，BC=CC1=1,AB=√2，则异面直线BC1与AB1所成角的余弦值为号B9cD36,设函数f八z)=h(一+4x)在(a,a+D上单调递增，则a的取值范围为A.(0,1)B[0,2]C.(0,2)D[0,1目7已知1an。-至)=4则m2。A高B号c8.设a=L.7,b=tan1.1,c=24n2.1,则A.asbcB.a

请回答以下问题：(1)“浸渣”的走要成分为CS04（②)为了提高“酿设”的设取率，可果取的精能为洁临鳗(填化学式)。(任写一条)。(③)加人N:S0,时所发生氧化还原反应的离子方程式为仙么土4小过滤得到BaO(CQ),·4H:0菌要经过洗涤、被压烘干，实验室里洗涤沉淀的一般方法是B0,C02-C5)隔绝空气条件下，BsT0C9,H.0在s0c灼烧得到T0。D在实验室里灼烧晶体时位密H授〈要仅器①灼烧，②灼烧时的化学方程式为M6A0C60.H02A208(12分)如图是氮元素的几种价态与物质类别的对应关系。请回答下列问题才小01氨元家的价态(606+6+2L+1bE08①N气态单质氧化物酸盐氢化物丽(1)上述物质间的转化，属于固氮反应的有(填序号)，NO2是否属于酸性氧化物？(填“是”或香)。AnHos(2)HNO,与图中的物质C常用于检验C的存在，则C的化学式为A0(3)工业上以B、空气、水为原料生产硝酸分为三步，其中第三步：NO→HNO,该反应中氧化剂与还原剂的物质的量之比为)。N H)H N03失地(4)写出浓硝酸与木炭在加热修件下反应花学方程香并用单线桥法表示其电子转移的情况：2A士Lh2以0。+0(5)如图装置可用于探究氯气与氨气的反产夫会时通过三颈烧瓶瓶口1酒入氨气，然后关用b活塞，再道过瓶口2适人氯气，实瓶内出现白短并址发结成周体，发生反应的化学方程式为NHy t(h=-H4c,请设计一个实验方案鉴定该固体中的阳离子：一Y溶化学试题第6页（共8页）

3②点D,连接OD,2【解析】如解图，过点0∴.D(2,1),OD=CD=BD=√5，∠DOB=EB作∠EBC=∠C,交AC6G∠OBC(“内作双等腰”倍角模型)于点E,作BF⊥AC于点B D∴.∠CD0=2∠OBC,.∠MCP=∠CDOF.设AD与BE交于点G,第3题解图∴.OD∥CP.∠C=a,则∠EBC=a,∠B=3∠C,.∠ABED(2,1),M(D)=∠ABC-∠EBC=2,∠BEA=∠EBC+∠C=.直线OD的函数解2a.∠ABE=∠BEA(“内作双等腰”的3倍角模型)，∴.AB=AE=6,.CE=AC-AE=10-析式为y=2B x6=4,·∠C=∠EBC,BE=CE=4.在等腰C(0,2),第4题解图①AABE中4D为人BAC的分线心BG三·直线CP的函数解析式为y=2x+2,GB=BB=2,AG1B比（学腰三角形三线合Y=2+2一)，在Rt△ABG中，AG=√AB2-BG=4√2，联立3Sw=号BE·AG=E·BP,B=解得x1=0(舍去)，x2=2,6=3,在R△BEF中，EFBE·AG_4×42_82AE.点P的横坐标为2；③若∠CPM=2∠OBC,由②得∠CPM=yE-F:手CF=F+CE=,在16∠0DC,0D=√5，Rt△BCF中，tanCBF√2如解图②，过点O作OE⊥BC于点E,CF 224解：令12士分x+2=0M(D)几何画板动态演示解得x1=-1,x2=4,BY∴.A(-1,0),B(4,0),白率禁管Q模型15第4题C(0,2),第4题解图②∴.在Rt△0BC中，0C=2,0B=4,.BC=√/22+42=25则0E=0C·0B45BC(三角形等面积法)①若∠CMP=2∠OBC,则∠NMB=2∠OBC.在Rt△ODE中，根据勾股定理得，.PQy轴，∴.∠MNB=90°，∴.∠NMB+∠OBC=90°，∴.∠0BC=30°，0E4.∴.BC=20C=4,这与BC=2W5相矛盾，∴.tan∠ODE=DE 3.∠CMP≠2∠OBC;过点C作CF⊥PQ于点F②若∠MCP=2∠OBC,如解图①，取BC的中在Rt△CPF中，：∠CPM=∠ODE,万唯数理化QQ交流群：66843586019

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Confirmation bias (is our tendency to seek out information that confirms our existing beliefs.It alsodescribes how we try to find ways to look at unclear information in ways that support rather than challenge thosebeliefs-or simply ignore information that contradicts them.35People usually don't engage in confirmation bias on purpose.36_For example,if you heard that apolitician you support was caught in a scandal ()you might be more likely to believe explanations thatmake them look less guilty.Meanwhile,people who dislike that politician would probably be more likely to believestories that make them look worse.So what can we do to avoid confirmation bias?37 This can help us check if we only believe certain thingsbecause we never seriously considered other possibilities.It's also easy to surround ourselves with an"echo chamber"of people who think the same way we do-especially on social media.38 It can help us understand that there may beother ways to see the same issue.And perhaps most importantly:we have to be careful not to jump to conclusions.39 We should try to learnmore before deciding how we feel about something,even if it's very important to us.But that's often easier said thandoneA.The thing we most want to believe might not actually be trueB.But research has found that it is real and affects our judgment.C.But it can be helpful to talk to people who don't share our beliefsD.Research has shown that confirmation bias occurs in several contexts.E.Most of all,accept that you have biases that impact your decision-making.F.One thing we can do is try to look for evidence that contradicts our beliefs.G.This is especially true for information about things that feel very important to us.第三部分书面表达（共两节，32分）第一节（共4小题；第40、41题各2分，第42题3分，第43题5分，共12分）阅读下面短文，根据题目要求用英文回答问题。请在答题卡指定区域作答。The capacity for cmpathy-to first identify and then understand and share in somcone else's feelings-is largelyheld as a virtue.Yet,there is a knowledge problem that makes being naturally empathetic a struggle.Why?As poetJohn Keats put it,"Nothing ever becomes real until it is experienced."So how can somconc clsc s perspective (and emotions ever become real enough for us to developempathy?Reading fiction may provide an answer.Studies show that when you read fiction,it not only activates the language processing center of the brain butalso increases global flow in the brain.It speeds up the part involved in physical movement and areas of the brainlinked to sensory experiences.In other words,reading fiction lights up the brain in ways that copy the neuralactivities of the experience you're reading about.For example,if you read a well-written passage about acharacter hiking through the wilderness,your brain reacts as if you're on that hike.To really cultivate empathy,you need to be internally more aware of and connected to those around you.Andagain,reading fiction is associated with just such a skill.One study,which assesses one's ability to determinesomeone else's emotions based on their facial expression alone,showed that fiction readers scored higher than non-readers and readers of nonfiction.The researchers assumed that reading fiction allows people to practice taking onsomeone else's perspective and thus improves their social awareness.This suggests that reading fiction improves

答案解析®世纪金榜世纪金榜—2023全国高考原创月考金卷（九）英语【听力材料】M:They say there might once have been life on one ofText 1themM:What time is it?I've forgotten to put onW:I heard about that.I wonder what they looked like,themy watch.people on that planet.W:Do you still use a watch when everyone听力音桶M:They wouldn't have been people or animals.Not evenhas a phone?I'll tell you...Oh.no!My battery's flat.insects.More like tiny cell creatures.M:Never mind.I can turn the computer on and find theW:Do you think we will ever find life somewhere else intime there.space?Text 2M:Maybe other planets will try to communicate with us.M:How was your trip to London?W:3I don't think that will happen in my lifetime.Maybe inW:It was fantastic!I visited a lot of places:churches,a century.museums,and the royal palaces.And the weather wasM:But computers are becoming so powerful.I bet we willfine.Horrible traffic,though.hear from them in 25 or 50 years.Text 3W:I never thought of that.I was thinking about findingM:Hi.there!I'm Terry from the sales department.them with rockets and telescopes.But you are right.You're new around here,huh?That is how they will be found.W:Yes.I'm the new secretary to Mr Black.My name isM:Let's hope they are friendly when they decide to get inMaria.I just started a couple of weeks ago.touchText 4Text 8W:Hello,here's a package for you.It was delivered to myM.Happy birthday,Daisy.You have finally come of age.house yesterday because you weren't in.W:I'm not 21.M:Yesterday?This was supposed to arrive on Monday.IM:I know but,really,18 is when people really come ofwonder why it was two days late.age these days.Text 5W:I suppose so.Anyway.welcome to the party.WouldM:Nancy,are you having a big Christmas dinner at youryou like a drink?Beer maybe?house this year？M:Oh,no,thank you.I must admit beer doesn't agreeW:Actually.I plan to spend Christmas at a homelesswith me.Do you have orange or apple juice?shelter with some friends.We just want to doW:I have apple juice.something for the people there.M:That's great.I see you have decorated the room forText 6your party.M:Look at all this rubbish!W:Ha-ha,yes.I didn't have much time to do it,though.W:Awful,isn't it?M:You did a good job.I love the balloons.Why do youM:People wouldn't throw this stuff in their backyards,soonly have long ones?why do they put it in the sea?W:The shop had sold out of regular ones.Can you believe?W:Let's get a party of friends together and clean it up justM:They look good.Big balloons always look best.like we did in the streets.Text 9M:Yes,we'll make it so that we can see the sand again.W:Where do you want to go to college,James?W:Why do you think it's mainly this type of rubbish?M:Well,I'm not sure.I can't decide.I'm worried I willM:I suppose things like paper and wood rot down,butmake the wrong choice.I want to be a teacher.I wantplastic stays as it is.We will have to do it regularly ifto go to Columbia University in New York,but it's sowe want to keep the beach the way nature intended.expensive.It's also very far from where my familyText7live.I also would like to go to NorthwesternW:Do you ever look at the stars at night and wonder ifUniversity,but none of my friends from high school arethere is any life on other planets?going there.M:Yes.I do.There are so many millions of planets outW:You'll make new friends when you go to college.there,and I think there must be life somewhere.M:I'm worried about making new friends.Also,I'mW:What about nearby planets?worried that I won't be smart enough to get good扫描全能王创建

during"Ju Can".Some reports show that the annual waste of grain in China is close to 6%of thetotal grain output,of which,the waste rate of a large party is as high as 38%.The food waste isdriven by people's flamboyant nature-they think the plates must be full and taking away packedfood from a party is"disgraceful.The dishes at a dinner party have become a symbol of aperson's wealth and having too many dishes at the menu has become fashionable,thus promotingwaste.(但这些通常节俭的人往往在“聚餐期间浪费食物。有报道称，中国每年的粮食浪费接近粮食总产出的6%，其中很大一部分人的浪费率高达38%。食物浪费源于人们的浮夸天性一他们认为盘子必须是满的，从聚会上拿走包装好的食物是“可耻的”。宴会上的菜肴已经成为一个人财富的象征，菜单上有太多的菜肴已经成为一种时尚，从而助长了浪费)”可知，本段主要陈述了人们聚餐造成食物浪费的现象以及背后的原因。故选D。【31题详解】推理判断题。根据文章最后一段“Small to a person,a family,big to a country,the whole humanrace,to survive,to develop,we have to be frugal.Being frugal does not mean being mean,itsimply means one is wise enough not to waste food.If the culture of diligence and frugality ismore widespread in all countries,it would provide for a stronger foundation for national securityand family happiness..(小到一个人，一个家庭，大到一个国家，整个人类，要生存，要发展，我们就必须节俭。节俭并不意味着吝啬，它只是意味着一个人足够聪明，不浪费食物。如果勤劳节俭的文化在所有国家更加普及，将为国家安全和家庭幸福奠定更坚实的基础)”推知，作者通过这篇文章主要告诉我们，我们应该珍惜粮食，养成节俭的好惯。故选C。D篇【答案】32.C33.A34.D35.B【导语】这是一篇说明文。文章主要介绍了荷兰的一个学生团队发明了一种叫做ZEM的电动汽车，这种汽车不仅在驾驶时不产生二氧化碳，而且实际上可以从空气中提取二氧化碳。32.细节理解题。根据第二段中Called“ZEM”,which stands for“zero emission mobility',thecar is equipped with special devices that remove carbon dioxide from the air as it drives.(车被称为“ZEM,意思是“零排放机动性”，它配备了特殊装置，在行驶过程中可以去除空气中的二氧化碳。)”可知，ZEM的特殊之处在于它能降低空气中的二氧化碳含量。故选C。33.推理判断题。根据第二中The team says if ZEM is driven about32,000 kilometers,it canremove 2 kilograms of carbon dioxide from the air.That's not a huge amount.The team calculatesthat 10 ZEM cars on the road for a year would remove as much carbon dioxide as a typical treedoes during that time.(研究小组说，如果ZEM行驶约32000公里，它可以从空气中清除2公斤的二氧化碳。这不是很多。研究小组计算出，10辆ZEM汽车在公路上一年清除的二氧化碳排放量相当于一棵普通树一年吸收二氧化碳的量。)”可推知，研究团队在第二段计算ZEM吸收二氧化碳的量是为了表明对ZEM汽车的美好憧憬，故选A。34.细节理解题。根据第三段“ZEM also has several other innovations that help to make itmore capable of being sustained:the car's frame and panels()are 3D printed to reduce waste;it was built using recycled and recyclable materials;and it can be easily taken apart so that manyof its parts can be reused.ZEM's battery is also reusable,and has another handy feature:it can becharged with solar panels on the car's roofand can even be used to provide power to your house