国©©所名校高三单元测试示范卷nE=0，n·C市=0，故y+z=0-(-22n,取n=(2,1,-1).设直线BQ与面PEC所成的角为a,则sna=|cosB成，n=1·nL=BQ·n61a+25为0√212×√22-41+312即Q为线段AP的中点，此时AQ=2(12分)如图，在多面体ABCDEP中，底面ABCD是菱形，AP⊥面ABCD,AP∥Cn重BEQF-,CaDE,PA=AB=3,AC=23,DE=1,点F在棱PA上.(1)求证：BF∥面CDE.(2)求面PBC与面CDE夹角的余弦值.(3)若AF=2,求点F到面PBC的距离.(0,4-0【解题分析】(I)由题意知AB∥CD,因为AB吐面CDE,CDC面CDE,所以AB∥面CDE,又AP∥DE,因为PA丈面CDE,DEC面CDE,所以PA∥面CDE.又因为PAC面PAB,ABC面PAB,PA∩AB=A,=0,解得1-号所以面PAB∥面CDE,BFC面PAB,则BF∥面CDE.…4分(2)在菱形ABCD中，AB=3,AC=√AB+BC-2AB·BC·cOs∠ABC=23,21解得cOs∠ABC=号，AB·c0s∠ABC=1,则取BC上靠近B点的三等分点G,连接,易知AGLBC,且AG=2√2.由AD,AG,AP两两垂直，可建立空间直角坐标系A-z,如图所示，则B(2√2，-1,0)，C(22,2,0),P(0,0,3),E(0,3,1),D(0,3,0),CV2CD=2,E为ACD=(-22,1,0),D=(0,0,1),CB=(0,-3,0),C=(-2√2，-2,3).G,且PB=C1n·Ci=0设面CDE的法向量为n=(x,y,2),则|-2W2x+y=0取n=(1,2√2,0).Q与面P所成m·C2=0设面PBC的法向量为m=(a,b,c),则.|-22a-2b+3c=0m南-0仁60在，请说明厘血取m=(3,0,2√2)则cos(m,n)=m·n3m1n3X√/17，故面PBC与面CDE夫角的余整值为哥17…9分(3)由(2)知F(0,0,2),BF=(-22,1,2),点F到面PBC的距离d=萨.m-22-2图m√171712分2.(12分)如图，在三楼台ABC-A,B,C中，面BCCB⊥面ABC,∠BAC-受，BC=2AB=4A1B1=4,BB1=CC=5.(1)求三棱台ABC-A,B,C的体积；(2)求直线AC和BB,所成角的余弦值；(⊙)在侧楼B,上是否存在点D,使得面ACD与面ACB夹角的余弦值为5？若存在，说明点D的位置；若不存在，请说明理由。【解题分析】1)由题意知四边形BCC,B,是等腰梯形，BC=2AB=AB,=4,则B,C=2,【24·G3DY(新高考)数学-必考-N】131

47.A。根据technology和get off their devices可知，心理学家Dickson建议“回归基本，与孩子们建立没有科技的亲子关系”。technology在文中原词复现。48.C。根据getting your kids in the kitchen可知，回归基本可能就像让孩子们进入厨房一样简单。49.A。50.D。根据help out with preparing food和get off their devices可知，鼓励孩子们帮忙准备食物提供了一个集体的时间，孩子们在这个时候可以放下电子产品，与家人一起。注：collective在此意为“集体的，共有的”。51.C。根据eat和preparing food可知，对于焦虑或抑郁的孩子们来说，烹饪是一项极好的活动。52.D,根据building a relationship with your children和strengthening family interactions可知，烹饪建立了一种纽带，加强了家庭互动。53.B。根据上一段中的children are growing up in a very different world than their parents did可知，如今的生活压力大，烹饪有助于孩子们放慢脚步，体验味觉、触觉和嗅觉。54.A。55.C。根据focus on something enjoyable可知，烹饪还可以让孩子们摆脱焦虑，专注于令人愉快的事情一一没有什么比享受终极产品更令人愉悦了！第二节主题语境：人与自然一一灾害防范本文是说明文。文章剖析了去年12月袭击安大略省的暴风雪产生的主要原因。56.was driven。考查一般过去时的被动语态。设空处作谓语，根据last December可知是对过去发生的动作的客观陈述，且主语snowstorm与其是被动关系，故填was driven。57.wht。考查连接词。设空处引导表语从句，表达的意思是：造成大量降雪的一个主要原因是所谓的“湖泊效应”，故填what。58.occurrence。.考查名词。设空处作表语，根据前面的a可知，应填occurrence。59.up。考查固定短语。show up意为“出现”。60.fifth。考查数词。a fifth of.…意为“…的五分之一”。61.under/in。考查介词。under/in specific circumstances意为“在特定情况下”。62.leading。考查动词-ing形式。设空处作状语，表结果，前面的整个句子与其存在逻辑上的主谓关系，故填leading。63.directly。考查副词。设空处作状语，修饰动词located,故填directly。64.impressive。考查形容词。设空处作定语，修饰distance,故填impressive。65.declines。考查主谓一致。设空处作谓语，表客观陈述，在此意为“变小，变弱”，是不及物动词，且主语是severity,故填declines。

心，你会从中受益)可推断，设空处应表明有方法能使厨房更完善，故G项“事实上，一些餐厅规则可以让厨房更安全、更高效”符合语境。37.D。根据设空处结尾的问号可知，设空处承接上一句Your favorite bag of chips?,回答whatwould be at the very front?这一问题，故D项符合语境。38.F。设空处上一句中的restaurants use a method called“first in,first out..”引出了新话题“first in,first out”这一方法；下一句This makes sure..介绍了该方法的好处。F项“我们应该根据标明的保质期，优先使用日期最早的产品”进一步解释“first in,first out”这一方法，符合语境。39.A。设空处为本段小标题，应能概括全段内容。根据本段中的If you keep your cuttingboards on top of each other,,you're breaking a food safety rule可知，本段强调不能把砧板叠放在一起，故A项符合语境。4O.C。根据本段小标题Drying utensils with a dish towel和设空处后一句Drying with a dishtowel could potentially recontaminate utensils if the towel is contaminated可知，本段强调不能用洗碗巾擦干餐具，因为如果洗碗巾被污染，用它擦干餐具会再次污染餐具。C项中的theycan be a growing ground for bacteria解释了为何洗碗巾会污染餐具，符合语境。C项中的they指代dish towels。.语言运用第一节主题语境：人与自我一一做人与做事本文是记叙文。一直想当教师的Justine克服了重重困难，从一次次的失败中总结经验教训，最终得偿所愿。41.C。根据Justine has realized a lifelong dream和But可知，Justine实现了一生的梦想，但这并不容易。下文的overcame failures也是提示。42.B。根据now an elementary education teacher可知，Justine在她六年级的年鉴上写下自己想在十年后教书。43.A。根据Though it took her longer than she expected和overcame failures,and succeeded可知，虽然实现梦想用的时间比预计的长，但Justine全心全意地投入，战胜了一次次失败，最终获得了成功。44.D。45.C。根据raising two kids by herself..Success in her teaching degree seemed almost和no matter how busy and tired she might be可知，Justine当时打三份工，独自养两个孩子，获得教育学位看起来几乎是无法实现的。46.B。47.C.根据She had to和she was determined to make her dream come true可知，Justine必须弄清楚前进的办法，因为她下定决心要实现梦想。48.A。49.D。根据a new challenge和It took her several..to pass the course可知，在Justine追梦的路上出现了一项新挑战一一科学。她尝试了好几次才通过了这门课。present itself意为“出现”，符合语境。50.B。51.D。根据but I just couldn't even open my computer可知，有一天Justine感到很绝望。她不打算放弃，但就是不想打开电脑。52.B。根据I opened my mailbox and the course instructor...me a postcard可知，Justine打开邮箱，发现科学课老师给自己发了张卡片。53.A。根据卡片内容Justine,you can do it!可知，老师的话激励着Justine继续尝试。54.D。根据前文的故事可知，Justine最终成功是因为她明白自已的需求、支持自己：55.C.Maybe we should count our failures because then we'd see that somethinghappened可知，或许我们也该回顾自己的失败，因为我们会从中看到有问题出现，而且我

江苏省基地大联考2023-2024学年高三上学期第一次质量监测英语试题答案听力1-5 CACCA6-10 BBCAB11-15 CABAB16-20 ABCAC阅读21-23BCB24-27CAAC28-31DDDC32-35ABCD7选536-40 FBGDC完形填空41-45 CBACD46-50 CABDD51-55 ABDBC语法填空56.have been influenced57.and58.simplified59.dates60.for 61.which 62.a 63.especially 64.to create 65.maturity应用文写作：Dear Josh,I'm Li Hua,in charge of our school's writing competition of Englishclassics book review.I am writing to invite you to grade the book reviews thisFriday.The competition requires students to write a book review of at least 800words about the English classics-The call of the wild.We've received up toforty submissions,which will be evaluated according to their content richness,layout creativity and artistic expressiveness.Top ten works will be awarded.I'd appreciate it if you would accept my invitation!●Yours,Li Hua读后续写：Eric suddenly noticed an envelope on the bed.It was addressed to him.Heopened it and was surprised to find a check inside and a note that read:You'dsaved a boy's mother years before.Thank you so much for the three packs ofmedicine,and two portions of food."Immediately,Eric remembered the boy hehad helped a long time ago.He went to the nurse station and asked them whovisited Riley.The nurse told him there was no one except the doctor.Eric cameto realize the doctor was exactly that boy.He ran to the doctor's office and hugged him."Thank you,son,"Eric cried.The doctor said,"It's me who should say thanks.That day,you saved mymother's life.Since then,I promised myself that I would study hard to becomea doctor to help more people.Now I have achieved the dream.""I am proud ofyou,"Eric said with excitement.The doctor smiled and promised to arrange theoperation for Riley soon and take care of her during her hospitalization.Riley

activities,which provided a refreshing break from their usual academic routine.We hope to see more events like this in the future!第二节One possible version:But the most unbelievable part was the hidden treasure found in the garage.Overthe years,I'd stored Aussie coins I liked the look of,or that had been made the yearI was born.Peter revealed the pile was worth $28,500!Next,Peter worked out thevalue of three pieces of art.In total,we'd found $40,000 tidying up!I decided tokeep the coins and artwork to pass on to Zara when she gets older.But we alsodonated many items to charity.A week later,the garage was transformed from an overflowing mess to anorganized,tidy space.Everything we kept,such as Christmas decorations,souvenirsand sports equipment,was neatly put away on new shelves."It looks amazing,"Ismiled.Sometimes,I find myself going back to my old ways.Zara steps in,though,and reminds me,"No Mum,not again."I know she's right.It was a surprise whenZara recommended us for the TV show,but I'm so proud of her.Now,I'mdetermined to keep our lives mess-free!部分解析阅读第一节A篇主题语境：人与自我—学

2023-2024学年第一学期期中教学质量检测八年级数学试题卷时间：100分钟满分：100分选择题（本大题共10小题，每小题3分，共30分）题号235678910答案1.在面直角坐标系中，点(-1,2)在（▲）.A,第一象限B.第二象限C.第三象限D.第四象限2.在函数y=√x-1中，自变量x的取值范围是（▲）.A.x>-1B.x2-1C.x>1D.x213.如图，为了估计池塘两岸A,B间的距离，在池塘的一侧选取点P,测得PA=15米，PB=11米，那么A,B间的距离不可能是（▲）知A,5米B.8米C.27米D.18米制報长工第3题图第7题图第9题图4.已知一次函数y=x(k≠0)经过点(1,2)，则下列不在该函数图象上的点是（▲）数A.(0,0)B.(-1,-2)C.(1,2)D.(3,6)都5.在面直角坐标系中，将线段B移后得到线段"B,若点4(-1,2)的对应点心的坐标为(3,4),那么点B(2,4)的对应点B的坐标为（▲）.图A.(-2,-2)B.(-2,6C.(-2,10)D.(6,-2)6.点M(-2,),N3)是函数y=-宁+b图象上两点，则%与片的大小关系（▲）A.片>3B.月

2024届高三期初学业质量监测试卷英语注意事项考生在答题前请认真阅读本注意事项及各题答题要求1.本试卷共10页，满分150分，考试时间为120分钟。考试结束后，请将答题卷交回。2.答题前，请您务必将自已的姓名、准考证号、座位号用0.5毫米黑色字迹签字笔填写在答题卷上。3请认真核对监考员在答题卡上所粘贴的条形码上的姓名、考试证号与你本人的是否相符。4.作答选择题必须用2B铅笔把答题卡对应题目的答案标号涂黑。如需改动，请用橡皮擦干净后，再选涂其它答案。作答非选择题必须用书写黑色字迹的0.5毫米的签字笔写在答题卷上的指定位置，在其它位置作答一律无效。第一部分：听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）听下面的5段对话。每段对话后都有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。1.Why was the man late for work?A.He was stuck in trafficB.He had a traffic accident.C.His car broke down on the road.2.What does the man like about the new shop?A.The location.B.The assistantsC.The clothes.3.What is the man doing?A.Placing an order.B.Asking about an item.C.Requesting a delivery service.4.Who might Lily be?A.The woman's babysitterB.The woman's boss.C.The woman's child.5 What does the woman agree to do?A.Change seats.B.Call off her trip.C.Travel on a different day第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。听第6段材料，回答第6、7题。6.How does the woman describe the furniture store?A.There are goods of a high qualityB.There are good bargains on sale.C.They sell goods online as well.第1页/共23页

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售货员先将天右盘设为阿伏加德罗常数，下列说法正确的是、)人1N含有的电子数为0,1N及/mo/入a2O2与足量的C02反应时转移的电子数为2N标准状况下，12LH0所含的分子数为05N。Nas02+Co-Nato某容器中发生一个行C种世子，在反应过程下列有关判断中错误的3HD常温常压下，O2和O3的混合物共64g,所含氧原子数目一定为4N4在薄洋碳循环中，酒过如图所示的途径固碳】A在反应中NO;被下说法错误的是（分)）P海样表面还原性：Fe2+COA该循环过程中未涉及氧化还原反应B吸收作用一NGO,C,充合满NaHCO,C该板应中Fe2+获B我酸氢钠的电离方程式为NaHC0,Na+HCO,在反应中参加。Caco,DC该潘环碱少了碳的排放，有利于实现“碳达蜂、碳中和CHO已知有如下D钙化作用的离于方程式之一为Ca+C0-CaC0,③2Fech+Cb=2FeC16.复化性的由422021年12月9目，中国空间站“天宫课堂”中航天员介绍，他们所需的部分水是国以，在反应①B.呼吸产生的二氧化碳通过化学反应生成0+00-定条件+息60CC马在反应→0p一氢原子的，实现了循环利用，下图是该反应的一氧原子D.溶液中可发丙一碳原子子17.化学中常用示意图。下列说法正确的是（C)CCH4HoH,+Br,=2HBrA.该反应为置换反应B.参加反应的甲和乙分子个数比为132Na,0,+2S0,C该反应为氧化还原反应D.参加反应的甲和生成的丙质量比为11类推法应用于14,对下列描述的相关说法正确的是相关说法1描述选项CO2+单线桥法标注电子转移的方向和数目：单线桥标注规2点尝范正确A2KCl+3021D金属钠起火可A.A泡沫灭火器能喷射出大量C02及泡沫以用它来灭火18.标准BNH4HSO4是一水溶液中电离方程式：NH,HSO=NH+H+SO种酸C制取氯气时，可用湿润的淀粉碘化钾试纸检测氯气是否集满还原性：I>CD.度在DD.DC.CA.AB.B高一化学试题第3页（共8页）

·数学·参考答案及解析所以切线方程为√2x十4y-10=0.(9分)又CD⊥BC,CD∩PD=D,所以BC⊥面PCD,综上，切线方程为x=√2或√2x十4y-10=0.(10分)所以∠BPC是PB与面PCD所成角，即∠BPC=30°，(5分)18.解：(1)由图知A=2√2，(1分)因为PB=2且底面ABCD为正方形，则f(x)=2√2sin(a.x十p),所以BC=AB=CD=DA=1,PC=√3，PD=√2.又f0)=22sin9=2,所以sinp=9(6分)2以D为原点，DA,DC,DP的方向分别为x轴、y轴、之又0