2π2【答案】①②.V10+V63【解析】【分析】以P为球心，以PB为半径的球与底面ABCD的交线为以A为圆心，AB为半径的圆弧，求出圆心角即可求出弧长，将面PDC翻折到与面PBC共面，连接BD交PC于点Q,此时QB+QD取得最小值为BD,再在面四边形BCDP中求出BD的长度，即可得解【详解】因为PA⊥面ABCD,底面ABCD为矩形，则以P为球心，以PB为半径的球与底面ABCD的交线为以A为圆心，AB为半径的圆弧，在CD上取一点E，使得AE=AB=2,连接AE，则BE的长度即为以P为球心，以PB为半径的球，被底面ABCD截得的弧长，由AD=5,AB=2,所以cos∠DMAE=4D-5,则∠DME=天，所以∠BAE=AE 263则BE的长度为×2=2红，33即以P为球心，以PB为半径的球，被底面ABCD截得的弧长为2π3DB将面PDC翻折到与面PBC共面，连接BD交PC于点Q,此时QB+QD取得最小值为BD(面图形如下所示)，因为AD=V5,AB=2,PA=1,所以PD=VAD2+PA2=2,CD=AB=2,PB=VAB+Ap=5,PC=1P+22+3=2反，BC=AD=V5,所以cos∠BCP=BC+PC2-Bp-5,又cos∠DCP=DC2+PC2-Dp-52BC.PC42DC·PC2

二、非选择题（本大题包括5小题，共28分）13.（5分)阅读下列科普短文，回答问题。“绿色、智能、节俭、文明”是杭州亚运会的四大办赛理念。全佳安石墨烯防滑剂是一种新型的防滑材料，在2023年杭州亚运会上被广泛应用。石墨烯防滑剂采用的是无毒、无害的石墨烯材料，不会对环境和人体健康造成危害。石墨烯由碳原子按如图方式排列而成，碳受日光照射或与空气、水分接触，都不容易起变化。杭州亚运会交通使用绿色环保的电动汽车作为运输工具。(1)石墨烯由碳原子构成，其化学符号为C，C的微观意义是(2)石墨烯的化学性质是(3)碳原子的最外层电子数为与元素的化学性质关系最密切的是(填字母)。A.元素的相对原子质量B.元素的核电荷数C.原子的核外电子数D.原子的最外层电子数(4)杭州亚运会许多新科技的使用给你的启示是14.（6分)下图是实验室中常见装置。回答下列问题：(1)仪器①的名称是(2)写出用A装置制取气体的文字表达式；在试管口放一团棉花的作用是（3)经验证用B装置收集到的氧气纯度低，可能的原因是(4)用D装置收集的气体应具有的性质是15.(6分)家用桶装纯净水的生产流程如下。据图回答下列问题：精密过滤器置原水箱水泵石英砂活性炭软化器高压泵RO反渗透纯水箱(1)活性炭过滤器能过滤去水的不溶性杂质，还对水中的异味和色素有作用。(2)硬水中含有较多可溶性钙、镁化合物，它们以离子的形式存在于水中，钙离子的符号是要比较软化前后水的硬度变化，检验时需要控制的量有A.水样的体积B.肥皂水的浓度C.肥皂水的滴数(3)反渗透膜上有众多的孔，这些孔的大小与水分子的大小相当，细菌、病毒、大部分有机污染物九年级化学·第3页共4页

B.1 mol Fe与足量Cl,反应，转移的电子数为3NC.标准状况下，1molH,0的体积约为22.4LD.1mo/L BaCl,2溶液中Cl所含数目为2N第Ⅱ卷（非选择题共50分)三、填空题（共5小题，计50分）16.(7分)【物质的分类就是根据物质在组成、结构、性质、用途等某一方面的共同点或不同点将物质分成不同种类的科学方法，某化学学小组对下列两组物质进行研究：(1)C0、C02、S02、S0,若分类依据为则不属于该类别的物质为C0。(2)NHNO,、NaHSO,、KMmO4、CuCl2,若分类依据为正盐，则不属于该类别的物质为(3)写出NaHSO,在水溶液中的电离方程式：Ⅱ.某化学兴趣小组制备F(OH)3胶体，并对其性质做了如下探究：(4)将饱和FeCl,溶液加到沸水中，加热至整个体系呈色为止，即制得Fe(OH)3胶体。(5)制备Fe(OH),胶体的化学方程式为17.(10分)I.高铁酸钠(Na,Fe04)是一种新型绿色消毒剂，主要用于饮用水处理。(1)Na,Fe0,中铁元素的化合价为(2)Na,Fe0,可用于自来水杀菌消毒的原因是(3)工业上制备高铁酸钠有多种方法，其中一种方法的化学原理为3NaCl0+10NaOH+2Fe(N03)3=2Na,Fe0,+3NaCl+5H20+6NaNO3。该反应中Fe(NO3)3体现了(选填“氧化性”“还原性”或“氧化性和还原性”下同)，NaCl0体现了IⅡ.已知浓盐酸与高锰酸钾反应的化学方程式为：2KMnO4+16HCl(浓)=2MnCl2+5Cl2↑+2KC1+8H20。(1)氧化剂是还原剂是,氧化产物是,还原产物是(2)用“双线桥”标出上述反应的电子转移方向和数目：18.(11分)生活中化学无处不在，家庭厨卫用品中有许多化学常见的物质。回答下列问题：(1)若不慎将食盐洒在天然气灶的火焰上，观察到的现象是(2)碳酸氢钠可以作为治疗胃酸（主要成分为盐酸）过多的药物的主要成分，其反应原理的离子方程式为(3)某课外活动小组用以下装置进行实验，探究钠的化合物的性质：NaHCO3Na202清一浓H2SO:灰BREDMI K60 ULTRA(人民教育)高一化学（二）第3页共4页

If(x)川I2+22①当1

GLBAL EGLsIII.1.in 2.in 3.from 4.to5.0nIV.1.It seems as if our team is going to win.芳美径报社2.Helen was too frightened to cross the bridge.EARNING ENGLISHce a3.Everywhere he goes,his pet dog follows him.黛4.The two boys sat under the big tree,talkingabout their dreams excitedly.新课程高一课标广东第10期小报TEST YOURSELF(Unit 4,Book 1同步检测)第一节Part2阅读下列短文，从每题所给的A、B、C、D四个选项中I.1.the volcano erupted选出最佳选项。A参2.medical suppliesInternational Letter-Writing Competition for考答案3.A powerful typhoonYoung People 20234.in the open air读"Imagine you are a super hero and your duty is to5.survived the firemake all roads around the world safer for childrenII.1.that/which2.who/thatWrite a letter to someone explaining which super3.which/that4.whompowers you would need to achieve your goal."-that is5.whose6.that/whothe belief for the Universal Postal Union's (UPU's)7.which8.whomInternational Letter-Writing Competition for YoungPeople of this year.Since 1971,the UPU has encouraged youngIII.1.that/which2.that/whowriters aged 9-15 to write letters on a given topic in3.that/which4.whosethe correct format to win exciting prizes.参考答案5.that/which6.that/whichThe competition is an excellent way of making7.whose8.which读young people know the important role postalservices play in our societies.It develops their skillsin writing and their ability to express thoughtsclearly.It also improves the enjoyment of letterwriting and helps to strengthen the relationshipsbetween international friends.A group of international judges invited by thePart 3International Bureau judge the letters and selectI.1.tapping2.pipesthe winners.3.summary4.wavesCompetition rules参考答案5.power6.calm霎●Entries(参赛作品)must be in the form of a7.crashing8.emergencyletter and contain (the necessary parts of a9.delivered10.lengthletter (heading,greeting,body,complimentaryII.1.first aid kits2.on handclose,signature line and postscript).3.were swept away 4.were watching TV whenOLetters must be strictly in agreement with the5.made it difficult totopic and contain no more than 800 words in theoriginal language.第4版OLetters must be given to the UPUInternational Bureau together with a cover letter,(1)beachentry form and high quality picture of the参考答案(2)enjoyable读competitor.(3)suggestedOAt the national level,the competition is(4)islandorganized by UPU member countries.Entries must(5)streamreach the UPU International Bureau no later thanMay 5th.For more information,please contact us atcommunication@upu.int.5

21.(1)解：设曲线C上一点坐标为(x,y),由已知得x一2)+(y+3)_2√/(x-3)2+(y+5)22…2分化简可得(x一1)2十(y十1)2=10，即曲线C的轨迹方程为(.x一1)2十(y十1)2=10.…4分(2)证明：由(1)知曲线C是以C(1,一1)为圆心，半径为√10的圆，过直线L:x一2y十7=0上一点P向曲线C作切线，切点分别为M,N,则PM⊥CM,PN⊥CN,所以C,P,M,N四点共圆，即圆D为Rt△PCM的外接圆，圆心为PC的中点，半径为号PC.…6分设P(a,b),则u=26-7,PC的中点为D(6-3,2),号1PC=号2-8)+(b+1,所以圆D的方程为(x-b+3)2+(yb2）=}[(2h-8)+(6+1)2],即x++(6-26)x+(1-6)y+6-7=0.…9分将x2+y2+(6-2b)x+(1-b)y十b-7=0变形，得x2+y2+6.x十y-7-(2x十y-1)b=0,x2+y2+6.x+y-7=0x=-1,所以解得/1，或2x+y-1=0,y=-1y=3.所以圆D恒过定点(1，一1)和（一1,3）.……12分22.(1)证明：取棱BB的中点O,连接AO,OM.因为四边形BBA1A是菱形，所以AB=BB,又∠BBA=60°，所以△BBA为等边三角形，所以BB1⊥OA.…1分因为四边形BCCB为正方形且O,M分别是BB1,CC的中点，所以BB⊥OM,…2分又OA∩OM=O,OA,OMC面OAM,所以BB⊥面OAM,….…3分因为AMC面OAM,所以BB⊥AM.……4分(2)解：因为面BB1A1A⊥面BCCB1,面BB1A1A∩面BCCB,=BB1,且OA⊥BB1,OAC面BB1A1A,所以OA⊥面BCC1B.…5分以O为坐标原，点，以OB,OM,OA所在的直线分别为x轴、y轴、之轴建立如图所示的空间直角坐标系。不妨设BC=2,则点C(1,2,0),B1(-1,0,0),A1(-2,0W3),C1(-1,2,0).…6分BC=(0,2,0),AB=(1,0,-√3)，设n=(M,之)为面BCN的一个法向量，B2y1=0,则由n·BC=0及n1·AB=0,得不妨取1=1，则n1=(√3,0,1).x01-√3g1=0,…7分假设棱A1C上（除端点外）存在点N满足题意，令A1衣=λA1C(0

0OOsmod19.以乙苯催化脱氢来制取苯乙烯，是化工产业中常用的方法如下所示：(g)+H (g)AH-+117.6 kJ.mol1Q)在F©，O,催化作用下将乙苯加入三个恒容密闭容器发生上述反应。相关数据如下：起始量/mo】衡量/mo1容器容积/L温度/℃乙苯(g)苯乙烯(g)氢气(g)苯乙烯(g)甲001112乙14。02.5丙I5(①T,时，向乙容器中按表格中数据投料，则此时Vv进（填写“>”“=”“”“”“

高三第一轮复周测卷教学匀，待溶液呈浅棕黄色时，加入1~2滴淀粉溶液指示剂，继续滴定至即为滴定终点札记记录消耗的Na2SO溶液的体积；④重复上述操作三次。四次测定的数据如下表：实验序号23消耗Nae SO溶液的体积/mL20.0520.0019.9520.45上述四组数据中不合理的是(填序号)。【解题分析】(4)③用NSO,溶液滴定游离碘，边滴加边摇匀，待溶液呈浅棕黄色时，溶液中还剩下少量游离碘此时加入淀粉指示剂，溶液变蓝色，继续滴定至蓝色恰好消失且半分钟内不恢复，即为滴定终点。④4组数据中，第4组数据偏差太大应舍去，1~3组数据取均值。【答案)(1)分液漏斗(1分)；Mn0十4H+2CI△Mn++C+2H,O(2分)(2)除去氯气中混有的HC1气体(2分)；浓疏酸(2分)(3)H,0+C00~10℃2HC10(2分)(4)①胶头滴管(2分)②棕(2分)③蓝色恰好消失且半分钟内不恢复(2分)其数)卷④4(2分)13.(18分)《我在故宫修文物》展示了专家精湛的技艺和他们对传统文化的热爱与坚守，也令人体会到化学方法在文物保护中的巨大作用，某博物馆修复出土铁器的过程如下：(1)检测锈蚀产物主要成分的化学式FeaOFeO3·H2OFeO(OH)FeOCl铁器被腐蚀本质上可以看成是铁被填“氧化”或“还原”)。FOC1中铁元素的化合价为(2)分析腐蚀原理：一般认为，铁经过了如下腐蚀循环I.Fe转化为FeⅡ.Fe+在自然环境中形成FeO(OH),该过程中氧化剂为、。写出FeO(OH)与盐酸反应的化学方程式：Ⅲ.FeO(OH)和Fe+反应形成致密的FeO4保护层，FeO,保护层被氧化成FeO(OH),如此往复腐蚀。FeO4+O2十0H2OFO(OH)(将反应的化学方程式配)。(3)研究发现，CIT对铁的腐蚀会造成严重影响。化学修复：脱氯、还原，形成FO4保护层。方法如下：将铁器浸没在盛有0.5mol·L1的Na2SO溶液、0.5mol·L1的NaOH溶液的容器中，缓慢加热至60~90℃，一段时间，取出器物，用NaOH溶液洗涤至无C1。①检测C1是否被洗涤干净的试剂是②脱氯反应：FeOC1十OH—FeO(OH)十CI,离子反应的本质是离子浓度的减小，比较FeOCl与FeO(OH)的溶解度大小：[填“FeOC”或“FeO(OH)”门的溶解度较大。【解题分析】(3)①氯离子可以和银离子反应生成难溶于酸的沉淀，所以检测C是否被洗涤干净的方法是取少量最后一次洗涤液于试管中，加入稀硝酸酸化的硝酸银溶液，若无白色沉淀产生说明洗涤液中无C。②离子反应的本质是溶液中某些离子的浓度降低，这说明FcO(OH)更难溶，因此FeOC1的溶解度大于FeO(OH)的溶解度【答案】(1)氧化(2分)；+3(2分)(2)O(2分)；Fe0(OHD+3HC1—FeC1+2H2O(3分)；4,1,6,12(3分)(3)①稀硝酸酸化的硝酸银溶液(3分)②Fe(OCI(3分)【24.G37CI1新高考).化学-R-必考-0GA-Y】

第The results of a digital detox can be rewarding."Although I get 33 for working hard,workinghard was the easy part,"he says.第二部分Staton was 34 for all the support he receivedG.A few days after starting your digital detox,check in with yourself on how it's going.分and he wanted to pay it forward.And now he wants toMore control of your time.lead a professional sports team-he still hasn'tDo you always feel an overwhelming desire to check35 his childhood dream.your smart phone or social media?Al8 On average,语阅people check their smart phone 96 times a day and spendmore than two hours on social media.For many people,读checking their phone or social media whenever there are a言运33.A.respectB.helpC.gratitudecreditfew free minutes is a reflex action(下意识动作)that isn't34.A.eager●thankfulbased on any real need.Taking a break from digital用C.famousD.responsibledevices helps you fight against this reflex action.35.A.announcedB.discoveredgforgottenD.chosen第第二节第阅读下面短文，在空白处填入1个适当的单词或括E.For some pecan cotoo much inform二号内单词的正确形式。。g yoself on how it's goingRegularly finding time to take a nap(小睡)Less stress and anxiety.分36.helps (help)keep our brain bigger for longer,分E19 Constant exposure to notifications,emailssay University College London researchers.and social media can create a sense of being constantly"on".The result of that may increase stress and anxiety.语However,the researchers recommend 37.limitingA digital detox can provide a break from these constant(limit)naps to less than half an hour.distractions and allow for relaxation.读运The brain 38.naturally (natural)shrinks20B)with age,but whether naps could help preventAvoiding digital distractions creates moreopportunities to pay attention to people around you.For用diseases like Alzheimer's will still need extraexample,without devices around at dinner,you interactresearch.and connect more with your family or friends.第第一节完形填空第Staton grew up with his brother and they wereBrain health is important for protecting againstraised by their father,who did multiple jobs to support二部Alzheimer's and 39.what causes it is poor sleep.their family.They had a 21 supply of food andThe researchers suggest poor sleep is damagingelectricity back then."There were22 in the ceilings.There were a lot of areas in the house that didn't have分the brain over time by affecting the connectionsfloors,"Staton says,describing their former livingbetween brain cells."Thus,40.reasonablesituation.At a young age,he 23 of becoming a语(reason)naps could protect against言professional boxer,in the hope of getting his family outneurodegeneration(神经变性)by making up forof 24 through sports money.运poor sleep,"researcher Valentina Paz said.用21.A.large.limitedC.safeD.readyThe researchers used a clever method22.A.lightsB.drawingsholesD.decorations41.to prove (prove)that napping is beneficia23.A.spokeB.heardC.knew鰱.dreamed24.A.illnesspovertyC.heatD.dangerg第Sadly,he 25from a shoulder injury which madehim give up his dream too early.So after high school,第They used 42.a natural experiment based on二部he 26 to look for a job.the DNA.Previous studies have identified 97 partsWhat was worse,both Staton and his 27 hadof our DNA which either make us more likely to beto stop their education when their father had a stroke(中风.Staton eventually28 a job as a sanitary(环分nappers 43.or to power through the day.So境卫生的)worker in Maryland,which helped histhe team took data from 35,000 people,aged 40 tofamily make ends meet.Some of his co-workers told69,and simply compared those genetic "nappers"语言him not to be like them and encouraged him to语continue his education.and "non-nappers".The results,44.published(publish)in the journal Sleep Health,showed a 15-25.A.learned B.benefitedsuffered D.escaped运cubic--centimeter(立方厘米)45.difference用26.0 determinedagreed D.pretended..brother D.sister用(different)-equal to 2.6 to 6.5 years of aging.27.A.motherB.father28.foundB.offeredC.lostD.describedg第With everyone's help,Staton entered the University ofMaryland.His hard work 29.In 2018 he finished第第一节his undergraduate study successfully.In less than ayear,he 30 the Law School Admission Test and假定你是李华，是某国际学校的学生会分applied to Harvard Law School.部主席。本周六，你校将举办主题为How toStaton knew how 31 it was to get accepted but分prepare to study abroad的英语讲座。请你根he still tried his best.To his32 he got accepted and据以下要点提示，写一则通知，发布在校英received much praise文网站上，内容包括：29.A.ended upB.turned up写言运用C.worked outpaid off作1.时间地点；30.A.graded.passedC.facedD.failed2.讲座内容；31.0 toughB.inspiringC.funnyD.vital3.注意事项。32.A.regretB.disappointment●注意：写作词数应为80左右。C.annoyancesurprise

-