203年普通高等学校招生全国统一考则T数学注意事项：1,答卷前，考生务必将自己的姓名、考生号和座号填写在答题卡和试卷指定位置上。2.回答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再选涂其他答案标号。回答非选择题时，将答案写在答题卡上。写在本试卷上无效。3.考试结束后，将本试卷和答题卡一并交回。一、选择题：本题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项是符合题目要求的.〈力<1.已知集合A={x1(x-2)(x+1)<0},B={yly=log2(x2+2)},则A∩B=A.(-1,2)B.[1,2)C.(-1,+∞)D.(1,2)2.已知x,y是任意实数，则p:x+y≥3是g:x≥1且y≥2的C充要条件充分不必要条件C.必要不充分条件D.既不充分也不必要条件3.已知正方形ABCD的外接圆半径为1，点P在边AD上，则A·P元的最大A.1c号D.0B”:门画卫口画删卫华唑画黜阳今年素☒米雏+。=1(a>6>0)的左，右焦点分别为F,F2,且P为“正椭圆”C的下顶点，且△F,PF,的面积为4√3，则椭圆的方程为心B.2C.81D22832+24=15.已知函数f(x)=Asin(ux+p)+BA>0,w>0,1psTc.562的部分图象如图所示，则.A.A=2B.B=1C:w=1D.e=号数学测评（一）第1页（共4页）

2023高考考前冲刺押题卷（四）·数学参考答案1.选B解不等式}<2<4，得-2≤≤2，即A=[-2,21,Rt△PCB中，OP=OB=OA=OC.则O即为球心，PB为而B=[-4,一1)，所以A∩B=[一2，-1).故选B.球的直径.要想该“鞠”的体积最小，只需PB最小，由于2.选C之=名22-2i5.+PB=√/PA2+AB=√4+ABZ,故只5所以z的虚部为号故选C需AB最小，其中AB=√AC+BC.由3.选A因为圆C:(x一1)2+y2=4的圆心为(1,0)，半径V度=号S度·PA=号X为=2，热物线)=ar2(a>0)的准线为)=-石，所以AC,BCX2=号，解得AC,BC=2--2,即a-,选A由基本不等式得AC2+BC2≥2AC·BC=4,当且仅当AC=BC=√2时，等号成立，故AB的最小值为2，此时直4.选C因为当信噪比尽比较大时，公式中真数里面的1径的最小值为PB=√4+2=2√2，所以该“物”的体积的可以息略不计，所以当月=100时，C=W10g2100,最小值为兰x2)-8,23m.故选B当是=1200时，C=w1e:120,所以号18.选D由a|=|b=a·b=2可知，c0s〈a,b〉=a,1og2120001log10012000==1g12000故(a,b)=号，1og210001g1000g3+g4+lg1000=lg3+2g2+3如图建立坐标系，a=(2,0),b=(13),b131g10003≈1.36，所以：设c=(xy),由(b一c)·(2b-c)=0可得C:-CL(1-x3-y)·(2-x,2√3-y)=x2C)-1≈0.36，所以C大约增加了36%，C故选C如+2+-35y+6=0-(2月a20)产5.选Bf(0)=1>0,故A错误；因为f(0)=一1<0，且f(x)=1十sinx>0,则f(x)在R上单调递增，故B正确；(09)-1f(x)的定义域为{xIx≠0}关于原点对称，又f(一x)=:为圆心，1为半径os（-x_cos工=-f(x),则f(x)是奇函数，图象关所以c=(》的终点在以（停3于原点对称，故C错误；∫(x)的定义域为的国上，所以1a-20=22-,几何意义为点到(1,0)距离的2倍，由几何意义可知|a一2c|maxx红≠x十，k∈2关于原点对称，又f(-x)三x二工=-f(x),则f(x)是奇函数，图象关2-)+(+-2+2选Dcos (-x)cos r:9.选ACD对于A,若a∥b,a⊥a,则b⊥a一定成立，A于原点对称，故D错误.故选B.正确；6.选C由8S,十1=(2an十1)2，得8S+1十1=(2a+1十对于B,如图，正方体两两相交的三个1)2,两式相减，得8an+1=(2am+1十1)2-(2an+1)2,整面，面ABCD,面ABB1A1,理，得a+1-a员-an+1一an=0,即(an+1十an)(a+1一an面ADD1A1,一1)=0.因为{an)各项为正，所以a+1一a1=1,所以数面ABCD∩面ABB1A1=AB,列(an}是公差为1的等差数列，又当n=1时，8S1十1=面ABCD∩面ADD1A1=AD,8a1十1=(2a1+1)2,即4(a}-a1)=0,所以a1=1或a1面ABB1A∩面ADD1A1=AA1,而AB,AD,AA=0C合去)，所以4=，所以，=，所以Ta-营不行，故B错误；因为1+2+3+n=时》-2+名，所以对于C,若a⊥B,a⊥B,则a∥a或aCa22又a丈a,所以a∥a,C正确；22(2+)=合(n+1(a十2)，即2好十含A=对于D,若（⊥A,c⊥Y,则B∥y一定成立，D正确.故选A,CDk=10.选AC对于A,因为X服从正态分布N(3,1),所以子(a+a+2.9-P,所以-专+》：2E(X)=3,因为X+2Y=4,则Y=2-2X,(n+2)-中-a+1D2m,故含-20x21x型266所以EY)=E(2-2X)=2-2EX)=,故A正确；2870.故选C.B因为PA⊥面ABC,AC⊥BC,所以BC⊥PA,又对于B,因为X服从二项分布B(5,号)门PA=A,AC,PAC面PAC,所以BC⊥面C,即BC⊥PC.取PB中点O,在R1△PAB和所以P(X=3)=C(号)'（号）‘=架故B错误，

).A3EtyC.To make his executive team more productive.nable clothes.25.D.To see if Lee's productivity method would workWhat do we know about the sixth task on the to-do list?A.It was the least important of all.ntsB.It was as important as the other tasks.C.It was more important than the other tasks.orporation,whichD.It was more important than the seventh task.26rranged a mectingWhat can be inferred about Warren Buffett's 5/25 Rule?to increase theA.It encourages you to do as much as possible.B.It encourages you to focus on what matters most.saidC.It encourages you to complete your work in time.D.It encourages you to keep on doing something creativeachieving peak27What is the purpose of talking about world-class experts in the last paragraph?A.To raise doubts about multitasking.ant things youB.To explain how Lee's method works.C.To support the concept of prioritizing.D.To prove success can be achieved in any field.Work untilFor years,life went something like this:We'd grow up in one place,head offof the day,to college,then find a city to live in for a few years to pursue a job or highereducation.The end goal was to find somewhere to settle down,buy a house,start afamily,and begin the whole cycle all over again.But a new model for living islehem Steelemerging:Some people are increasingly opting to move from city to city throughoutis companytheir entire lives,sometimes as frequently as every month.Just ask Alex Chatzielefteriou,who has had a front-row seat watching thiswhy is itevolution unfold.Six years ago,he launched a startup called Blueground that rentsout beautifully designed,fully furnished apartments for a month at a time,at rentsngle bestthat are cheaper than hotels.Today,the company has 3,000 properties in six U.S.hat isn'tcities,along with Dubai,Istanbul,London,Paris,and Chatzielefteriou's nativeRule.Athens,and a staff of 400.hing.The company just landed $50 million in Series B funding,bringing its totalt beinginvestment to $78 million,to continue its rapid expansion.It hopes to have 50,000es leadsproperties in 50 cities over the next three years,and the goal is to make each onertists,feel unique and cozy,rather than standardized,like what you might find in aroughtraditional hotel.yourChatzielefteriou first came up with the idea for Blueground while he wasworking as a management consultant for McKinsey."The accommodation of choicefor consultants is the hotel,"he says."I had to spend five years in a hotel room,living in 12 different cities.I loved seeing the world,but I didn't love feeling likeIdidn't have a home."

2022一2023学年高二年级5月统一调研测试数学参考答案及评分细则1.【答案】D【解析】因为A=xI0<2x-1<3=x号

4.函数f(x)=ln(+x)cosx的图象大致为种个料5.让3名男生和3名女生站成一排，且任意相邻两名学生性别不同，则男生甲站在最左端的概率是A号BC.aD.吉6.已知a5为单位向量，6+-日-，c-a-0=0,则5-的最大值A.5B.5c.5-1D.1+5222已知椭圆方程为。+=1Q>h>0),M2)为椭圆内一点，以M为中点的弦与椭圆交于A、B,与x轴交于点P,线段AB的中垂线与x轴交于点G,当△GPM面积最小时，椭圆的离心率为AB.2c.3D.V32238.如图，己知四棱台的底面ABCD是直角梯形，∠BAD=90°，D1AD/BC,AD=AB=2BC=2DD=2AD,DD⊥面ABCD,E是侧棱BB所在直线上的动点，AE与CA所成角的余弦值的B1最大值为A.2v6B.7V2D510C.3v10D.2V5A105二、选择题：本题共4小题，每小题5分，共20分。在每小题给出的选项中，有多项符合题目要求。全部选对的得5分，部分选对的得2分，有选错的得0分。9.已知圆的方程为x2+y2-4x+2=0,下列结论正确的是A.该圆的面积为4πB.点(W2,1)在该圆内C.该圆与圆x2+y2=1相离D.直线x+y-4=0与该圆相切10.已知抛物线x2=2y的焦点为F,M(3,),N(x2,2)是抛物线上两点，则下列结论正确的A点F的坐标为[}0B.若直线M经过焦点F,则-C.若M+NF=4,则线段的中点P到x轴的距离为uuuD.若直线MN经过焦点F且满足MF=3FN,则直线MN的倾斜角为60°浙江省新阵地教育联盟2024届第一次联考高二数学试题卷第2页共6页

全国100所名校高三AB测试示范卷教学札记全国@@所名校高三AB测试示范卷·数学第一套集合与常用逻辑用语(A卷)(40分钟100分)目鼠微信扫码考情分析，高考对接点集合与常用逻辑用语属于高考的常考知识，点，常考客观题学疑难点命题真假的判断，充分必要条件问典型情境题5、6、7观看微课视频课外题解析下载复课件题序12346答案CDABDB一、选择题：本题共6小题，每小题6分，共36分.在每小题给出的四个选项中，只有一项是符合题目要求的，1.已知全集U={x-4c”是“a2十b2>c2”的A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件【解题分析】.a,b,c为正数，.当a=2,b=2,c=3时，满足a十b>c,但a2十>c2不成立，∴.充分性不成立.若a2十b>c2,则(a十b)2-2ab>c2,即(a十b)2>c2+2ab>c2,即√(a十b)2>√2，故a十b>c成立，即必要性成立.∴.“a十b>c”是“a2十b>c2”的必要不充分条件.【24.G3AB(新教材老高考)·数学-必考-N】

第35期参考答案4.Where do Jane and Nina have lunch everyIlI.1.healthy foods 2.two vegetable salads第1版day?3.an egg;some fruit(s)4.three ice-creams共同关注5.Who does Alan often play computer games5.questions about basketballwith?I.1.a small room 2.2017 3.life and art第3版II.We should love life./..IV.1.-Does Frank have a basketball情景交际第2版-No,he doesn't1-5 CBEFG实义动词的一般现在时2.-Do your cousins like oranges完形填空I.1.knows 2.eat 3.helps 4.watch 5.thinks-Yes,they do1-5 ACBDA 6-10 DBCACII.1.has milk 2.doesn't like/love 3.meets us3.-What does Sally eat after dinner综合填空4.don't go to school 5.like/love volleyball-She eats an ice-cream1.comes 2.mine 3.with 4.Sure 5.right 6.dogIII.1.Doris doesn't e-mail me on Mondays.4.-What vegetable does Tim like7.ball 8.get 9.but 10.fun2.-Do Ruby and Kate want that model-He likes carrots阅读理解plane?可数名词和不可数名词1-5 BDDCA-Yes,they do.I.1.boxes 2.keys 3.strawberries 4.tomatoes第4版3.-Does David always ask Lily for help?5.watches阅读提升-No,he doesn't.II.1.is 2.are 3.is 4.is 5.Are1-4ACBC

所以P(M)=P(Do)P(E3)+P(D1)P(E2)十P(D2)P(E1)+P(D3)P(E)·10分=×+×告+×号+×分员故“少年队”在三轮比赛中恰好射中3次的概率为247…12分22.(1)证明：连接BD交AC于O,连接ON.因为AD/BC,BC=2AD,所以根据相似的性质可得器%=2.…1分因为直线MB∥面ACN,MBC面MBD,面ACN∩Be0面MBD=ON,…2分所以MB∥ON,…3分【高一数学·参考答案第4页（共5页）】·23-523A·则-0-2所以MN=2ND.…4分(2)解：取AD的中点E,AC的中点F,连接ME,EF,MF因为△MAD为等边三角形，所以不妨设MA=AD=MD=6,则ME=33,MELAD.…5分因为面MAD⊥面ABCD,面MAD∩面ABCD=AD,所以ME面ABCD,所以ME⊥EF,MEAC.…6分又因为E,F分别为AD,AC的中点，所以EF∥CD,而AC⊥CD,所以AC⊥EF,又ME∩EF=E,则AC⊥面MEF,得AC⊥MF,所以∠MFE是二面角M一AC-D的面角，即∠MFE=a.…7分设Ef=m则1m6深-∈[3.3].得e11.…8分过N作NH⊥AD交AD于H,连接CH,易得NH⊥面ABCD,则∠NCH为直线CN与面ABCD所成的角，即∠NCH=Q.…9分NH-ME-/3.DH-ED-1.CD-2m.因为6as∠AC-器-g所以CH-V4m+1-2x2m×/8m2+3=√3…10分则am广是3…11分/8m2+3√8m2+33因为m∈[1，√3]，所以tan0=3√8m2+3故an0的取值范围为5,3亚，…12分311【高一数学·参考答案第5页（共5页）】·23-523A·

the mos undand lifechanging discoveries in scentifi history and RoyalSoetystomake outstanding contributions to science in many research ideas.eonyto boyande一etha,more of us will pass our exams."What we doOur motto is"take nobody's word for it"and academic strietness is at the heartofverthngwedo.Weare away ekingdiverseand cuio minds who can jonusoTherivbehind N DIYwer intitive Indeedtheissin()and help us in shaping tomorrows socety.Work with us and you will playchaReorhniygedDerneah1okeptenheworkagaNkosi already gives hands-on lessons in the basics of engineering to village children.andcntralroleinpromotingscicnceanditsbenefits,rccognizing,execlcnceimscieatificthinlking.p0cwao中h】coaaooiadvice developinntton and globaperation andntpotohelpme ufmyp fback toshol tofrher mywdgd assnwhat I've learned to others.general public.What we offerWhy does the author mentionA.To compare Edison and Nkosi.In return,we offer flexible working arrangements,development and a comprehensive package of benefits including:extensive space for careerB.Toinroduce the top of the te30 daysholiday (plus three given days)CTotrethe importance of inventioOGenerous pension provision (defined contribution scheme)D.TowtheofmodeOInterest-free season ticket loan25.What can we know about the country Malawi?Subsidized medical and dental insuranceisedofbadly●Onsite restaurantB.Many people are addicted ogmes.OEmployee Assistance Programf tspopulation hastoeducation.We would like you to be aware of the Society's position that animals are forbidden to beD.Manysdncan as themduethirekilled wastefully in research before applying for a role at the Royal Society.A 26.Why did Nkosi invent the turbine?Find usA.To make a profit.Find out where we are by visiting the contact us page.If you would like to discuss one ofB.To show off his knowledge.our opportunities,please contact humanresources@royalsociety.orgC.To bring eleciricity to his villae.D21.What does the motto of the Royal Society mean?D.To win the award from the Queen of England.A.Starving to learn.B.Believing nobody.27.Which of the follownbest deNC.Being a serious style.A.Brave and proud.22.What should you do you are in the Royal Society?D.Accepting excellent science.C.Confident and calm.B.Strong and patientD.Creative and generous.A.Respect the animals.B.Have a 30-day holiday.C.Borrow an interest-free loan.D.Purchase health insurance.23.What is the probable purpose of the teIt's no secret that walking is good for you.Many of us are trying to get in thoserecommended 10,000 stepsaday that our wearable fitness technology urgesutoachieve.ButA.To entertain.B.To advertise.C.To instruct.D.To persuade.how can we get the most out of those steps?BYou burn more calories in a shorter amount of time with higher-intensity()exercise“To invent,,”Thomas Edison said,“you need a good imagination and a pile of junk.”that pushes you into a higher heart rate.Walking,however,is a moderate-intensity form ofColrerd Nkosi had all the junk he needed and the will to bring electricity to his small village inexercise.To get the most calorie-burning benefits,then,it would seem that walking at aMalawi.He not only accomplished his goal,but won an award from the Queen of England.consistently quick pace that keeps your heart pumping would make the most sense.Using a repurposed corn-shelling (machine motor and a fast-moving river,NkosiThe Amcrican Collcge of Sports Medicine (ACSM)puts your target heart rate forcreated an electric turbine()that's now lighting up homes for him and his neighbors formoderate-intensity physical activity at 64%to 76%of your maximum heart rate.According tofree in the town of Mzimba.the Centers for Disease Control and Prevention,to estimate your maximum age-related heartJust like Edison.he did a lot of experiments.In the beginning.he put a bicycle in therate,subtract()your age from 220.For example,if you're 28 years old.your estimatedriver and brainstormed about how the water moved the pedals(),and how it might bemaximum heart rate is calculated as 220-28-192 beats per minute.turned into power.Then,he used another kind of old part from the refrigerator to transformKeeping with our example of a 28-year-old person,a moderate-intensity heart rate wouldpower for 6 homes.But that's not enough,so he continued to upgrade.be between 123 and 146 beats per minute.During this type of exercise,you will feel yourAccording to the self-taught inventor,his latest turbine has the potential to produceenough power to provide electricity to 1,000 homes and he says another turbine can be fixedbreathing rate increase bu sostill be able to speak in compeedownstream to produce more electricity.In 2018.Mr.Nkosi won an award from the Queen ofThere is also research showing that changing your pace to vary your intensity,and,England.consequently,your heart rae,throughout your walk inrease your metabolic(新陈f代谢In a country where only 11%of the population has access to electricity,having a reliablerate bymre than reminingsedypace throughou the durationand renewable source of energy has been a game-changer-especially in the schools."In thealkBased on thisyo houd break up your pace todlight intensity.【高三英语第3页（共8页）】23368C【高三英语第4页（共8页）】23368C

show for Vivienne Westwood..flying around the world modelling可知，Collins邀请Mensah为Vivienne Westwood走一次秀，随之便开启了他的职业模特生涯，他开始在全世界各地走秀。27.B。理解主旨要义。本文主要讲述了退休模特Herbie Mensah改造旧衣服，转战服装行业，重新走上时尚之路的故事。B项作标题最能概括文意，其中new和old的对比也为标题增加了一丝韵味，fresh new start指Mensah用I旧衣服开启新事业，old fashion boy指年逾花甲依I旧热爱时尚的Mensah。C篇主题语境：人与社会一一文学本文是一篇书评。作者在文中介绍了美国教师Stephen Ritz的著作The Power of a Plant。Stephen Ritz锐意改革，将其执教的纽约州布朗克斯区一所学校的图书馆改造成种植基地，在这里教学生种植、科学和烹任等课程，从而引发了一场教育改革。28.A。推断。第二段中的17%和100%是Ritz开展改革（在学校内教授孩子们有关食物、营养、科学和亨饪艺术的课程)前后学生毕业率的对比数据。毕业率由原来的最高17%上升至如今的100%。由此可推知，Ritz的改革成效显著，结果喜人。29.D。理解具体信息。根据第三段的内容可知，Ritz将拥有百年历史的学校CS55的图书馆改造成一个种植基地，还在里面开设了厨房，在这里教学生烹饪和种植。30.B。理解主旨要义。第四段主要介绍了Ritz为了传播Green Bronx Machine的理念，在世界各地进行宣传。31.B。理解文章结构、类型。根据文章内容，尤其是第一段中的In The Power of a Plant byglobally known teacher Stephen Ritz,you are taken on a journey witnessing changes in his Bronxcommunity及最后一段中的you'l‖I get that same enthusiastic and accessible voice with vividdetails in this remarkable book可知，本文是一篇书评，作者在文中介绍了Stephen Ritz的著作The Power of a Plant。D篇主题语境：人与自我一一学本文是说明文。研究表明，儿童比成年人更容易学会外语的原因是成年人在外语学时总会进行有意识的推理。研究人员建议，无意识下的语言学是一种很高效的学方式。32.C。理解词汇。根据划线词上文中的unconsciously和superior conscious reasoning形成的对比，再结合首句中的Children often learn new languages more easily than adults do和划线词下一句中的grown-ups might just be too smart for their own good可知，有些人认为学语言应该是潜意识的。新的研究表明成年人应该是太过聪明而无法学好语言。因此，可以推断，成年人在意识层面的高级推理会“阻碍”语言的学。33.D。理解具体信息。根据第二段中的four made-up words(such as“kieng nief siet hiem.Specific consonants always appeared at the beginning or end of a word if the word contained acertain vowel可知，这四个单词的特点是如果其中包含一个特定的元音，那么该单词的首部或尾部的发音会是特定的辅音。也就是说，这些单词遵循特定的“辅音一元音”模式。本段末的consonant-vowel patterns点明了这四个单词的特点。34.B。理解具体信息。根据第三段中的Those who tackled the difficult version claimed greaterbrain tiredness afterward一but performed better on the subsequent language task可知，接受过更难版本测试的研究参与者表现出了更强烈的大脑疲劳，然而这部分人在后续的语言任务中却表现得更好，再结合第二段中的Their ability to avoid mistakes indicated how well theyabsorbed the consonant-vowel patterns可知，研究参与者进行语言测试时犯的错越少，表示他们完成得越好。综上可知，那些精神疲惫的研究参与者在语言测试中犯的错更少。35.D。推断。根据最后一段中Smalle所说的可知，她建议人们初学一门语言时，应该一边

参考答案学生用书考点集训（四）A组题≥音+片×√合·9=是，1.A解析]由a>b>0得，a2+b2>2ab;但由a2+b2>2ab不能得到当且仅当2a=6=4时，等号成立.。>b>0,教a>b>0是ab生的完分不必要条件，故造A此时满足在x=1处有极值，2.C[解析]因为x≠0，所以x2>0,“合+合的最小值等于受2.-12[解析]a2a5a8=-8,a3=-8,∴a5=-2,因为)=32+是≥26（当且仅当3x2=是等号成立，∴.a1<0,ag<0,ag+9a1=-(-a9-9a1)≤-2√(-ag)(-9a1)所以1斜率的最小值为26.=-2√/9a1ag=-2√9·af=-12,3.CC解折]图为日+号=历，所以>0,6>0，当且仅当一ag=一9a1时取等号.由v瓜=日+名≥√日x名=2√需，3.号[解析]AB,C为△ABC的三内角，A为税角，amB=2anA>0,所以ab>2√2（当且仅当b=2a时取等号），..tan B=2tan[n-(B+C)]=-2tan(B+C),所以ab的最小值为2√厄.4.A[解析]因为对任意a,b∈R,有a2十b≥2ab,故有amB-2h把9，即可得amC裙品tan2B-2而对任意a,b∈R,a2十b2≥kab,所以-2≤k≤2，1d6+言2-g+因为[-2,2]是(-∞，2]的真子集，“amB+tan Ctan B3tanB所以“对任意a,b∈R,a2十b2≥kab”是“k≤2”的充分不必要条件.5.C[解析]因为x,y属于正实数，≥2V受6号，当且仅当tanB=1时等号成立，所以不等式兰+号>恒成立，小anB十aC曲最小值为导即m<[(生+号）x+]min4.(一o∞，一√瓦)[解析]f(x)的定义域为R,且f(-x)=-2.x3-3x=-f(x),图为（经+号）+0=18+经+号≥8+2√受·号-6，y∴f(x)是奇函数，且∫(x)在R上单调递增，则不等式f(2m+mt2)十f(4t)<0等价于f(2m+mt2)<-f(4t)=当且仅当-二，即3z=2y时，等号成立，yf(-4t),所以m≤25.2m十m2<-,即m<年2对≥1恒底立，6.C[解析]因为数列{an}是等差数列，{b}是各项均为正数的等比数列，所以a3十a?=2a5=2bs,b4+b6≥2√64b6=2bs,2≥-4==-√2，所以a3十a7≤b4十bs,2W4又因为公比g>1,所以ag+a0,y>0,.m>0,n>0,则m十n=x+1+y十2=8，∴m<-√瓦.5.4C解折]20+品+ad万-10ac+25c1“+中=品+日-（信+日）×gm+=号（品+0+2）≥号×2+2)=合-(a-5e):+a-abtab+ab +ata-D-(a-5c):+al+ab+ala-b)+g(a当且仅当品-只，即m=刀=4时等号底立.≥0+2+2=4，小中十中的最小值为受当且仅当a-5c=0,ab=1,a(a-b)=1时，等号成立，8.16[解析]连接OC,如图，设BC=x,则OB=√16-x,所以AB=即a=区，6=号，=号时满足条件2√16-x,6.】[解折]据已如等式得2=2-3y十4，放义-=-3到十423++-11，据均值不等式得型=+301所以矩形ABCD的面积S=2x√16-xZ,x∈(0,4)，=1，当且仅当兰=y,即x=2y时取得最大值，此时2S=2x√16-x=2√x2(16-x2)≤x2+16-x2=16,2√5·-3当且仅当x2=16-x2,即x=2√2时取等号，此时Sm=16..之[解折]a+6=4,∴a+1+b叶3=8，=2测导+号是-号号-（号-°+11，y1时聚得最大值1，∴a中+本=日a+1+6+3)(a市+)?.空[解桥]-(+)(+子）-y++兰+号=y+号-言(2++)≥言2+》=，+-号+g2◆=则0=a≤（字）”-号当且仅当a十1=b+3,即a=3,b=1时取等号，“a中市十3的最小值为号由四=计号在(0，号]上单调装流，发多1=时=1什名有能B组题小值婴，所以当x=y=合时2有最小位婴1.B[解析]：函数f(x)=4x3-a.x2-2bx十2在x=1处有极值，考点集训（五）∴.f(x)=12x2-2ax-2b,则f(1)=12-2a-2b=0,即a+b=6,A组题叉a>0,b>0.1.C[解析]原不等式可化为4x2-12.x+9≤0，即(2x-3)2≤0，“日+合=（合+台）a+)=名+日{合+把)2x-3=0=是623

二、填空题：本题共2小题，每小题6分，共12分7.2+1≤3"是“√4x-工0,b>0,且a十b=2.证明：(1)a2+6≥2：【24·G3ZCJ(新高考)·数学（二）一必考一HEB】

参考答案听力：1-5：CBBCA6-10 BCCAB11-15 ACACB16-20 ABBAC阅读理解：21-23BCD24-27:BAAD28-31:DACC32-35:CDBA36-40:GBAEF完形填空41-45：BCACB46-50 DCBAD51-55 CDABB56-60 AADDC语法填空：61.have flooded62.which63.a64.meaning65.how66.compared67.be considered 68.importantly 69.to70.healthier短文改错：One day I was wandering in the canteen alone while I met Li Hua.She kind offered to dinewhenkindlywith me.We ordered our food and choose the seats near the window with warm sunshinechosepoured in.When we were eating,I shared my doubts or worries about my new campus lifepouringandwith her.Hearing my concerns,Li Hua said she also had same feeling when she at first came个hehere.She encouraged me,"As long as I embrace the new high school life with enthusiasm,youyou will see surprises in your new life."Her word gave me that I would need to welcome awordswhatbrand-new life.书面表达：One possible versionMy teachers and fellow students,It is accepted by all that a dream is a beacon that leads one to success,or at least to thepursuit of success.As for me,my dream is to go on adventures around the world.To be moreexact.I would like to walk under the hot desert sun,climb in a damp rainforest.which will allbecome valuable experiences I'd like to recall in later years.However,to realize my fantastic dream is by no means an easy task.Most importantly,I haveto maintain excellent physical strength and strong willpower because travelling is always tiringand visiting what have not yet been fully developed is extremely so.Only with a strong body andsoul will I manage to conquer all the difficulties.In addition,I shall learn living skills in the wildeither by personal experience or from those who have the similar dream.Furthermore,it is alsoessential to equip myself with geographic and historical knowledge in order to enjoy thelandscapes better.As you can see,my dream is not far beyond reach as long as i set about pursuing it.命题：罗增礼游华杨静张青谭丽华王琪李小倩李清

听第6段材料，回答第6至7题。16.On which days does the man take guitar lessons?Throu6.What's the woman doing?A.Mondays.sophisticatA.Waiting for Ann.B.Wednesdaysspecial ev群力考卷B.Typing her paperC.Saturdays.ing of theC.Making a call听第10段材料，回答第17至20题day of themoon afte英语（三）·压轴卷7.Whom is the birthday party for?17.Where does the speaker come from?C.AmericaNew YearA.Mike.B.MaryC.Ann.A.Australia.B.England.北京群力中心英语研究宝Times Squ听第7段材料，回答第8至9题。18.What do English people think of Americans?(试卷总分150分考试时间120分钟)event,whie8.What are the speakers trying to do?A.Self-centered.ball itself题号三四总分合分人复分人A.Look for their car.B.Humorous.patterned得分B.Ask their friends for helpC.Cool.C.Pay the parking fee.19.What did the speaker like to do in the afternoon in England?pounds.21.What9.What will Rebecca do next?A.Have a cup of tea.B.Watch comedy showsA.It ha得分评卷人第一部分：听力（共两节，满分30分）】A.Try to use body language.B.It isB.Call someone in Rome.C.Play with his friendsC.Diffe第一节（共5小题；每小题1.5分，满分7.5分）C.Pretend to know the man.20.What did the speaker find amazing in England?D.New听下面5段对语。每段对话后有一个小题，从题中所给的A、B、C三个选项听第8段材料，回答第10至12题A.The TV program.中选出最使选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时B.The tea shop.22.Accor如10.How old will the woman's son be next month?间桌回答有关小题和阅读下一小题。每段对话仅读一遍。A.13 years old.C.The old buildingsA.Akit1.What has the man decided to do?B.14 years old得分评卷人囚第二部分：阅读理解（共20小题；第一节15小题，第B.OnA.Check the schedule.二节5小题，每小题2分；满分40分)C.AkiC.15 years old.长第一节阅读下面的短文，从每题所给的四个选项(AB.C和D)中，D.anciB.Go to see an engineer.11.What can we learn from the conversation?C.Continue his talk with Mr.Black.选出最佳选项。23.What区A.Most of the tutors here are undergraduates.A.Cal2.Where does the conversation most probably take place?AB.No one is available now except Anna.B.EgypA.On a bus.C.The female tutors are more patient hereCivilizations around the world have been celebrating the start of eachB.In a library12.What does the man think of Anna?new year for at least four millennia().Today,most New Year's festivitiesC.ChiD.NewC.In a shop.A.She's a very sociable person.begin on December 31 (New Year's Eve),the last day of the Gregorian3.How did the man feel about his jump in the end?B.She's the best in the center.calendar,and continue into the early hours of January I (New Year'sA.Terrified.B.Excited.C.DisappointedC.She's competent in her work.Day).Common traditions include attending parties,eating special New4.What does the woman ask the man to do?听第9段材料，回答第13至16题。Year's foods,making resolutions for the new year and watching fireworksThe IncoA.Help paint her bedroom.13.What does the man usually do at 7:00 am?displays.QuaA.He catches the bus.The earliest recorded festivities in honor of a new year's arrival dateSatB.Look after her brother.C.Examine her brother's armB.He prepares to get upback some 4,000 years to ancient Babylon.For the Babylonians,the first5.Why did the man fail to answer the phone?C.He eats the breakfastnew moon following the vernal equinox(春分)一the day in late Marchwho inA.The TV was too noisy.14.When does the man start to work at the library?with an equal amount of sunlight and darkness-indicated the start of acapturA.At noon.new year.They marked the occasion with a massive religious festival calledguardeB.His phone was broken.B.At11:15Akitu(generated from the Sumerian(苏美尔语)word for barley(大麦)，ChurC.He went to sleep early.第二节（共15小题；每小题1.5分，满分22.5分）C.At8:00which was cut in the spring)that involved a different ritual on each of its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15.How does the man go to the gym?11 days.In addition to the new year,Akitu celebrated the mythical victory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A.On footof the Babylonian sky god Marduk over the evil sea goddess Tiamat and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，每小题将B.By bus.served an important political purpose:It was during this time that a newinclemo给出5秒钟的作答时间。每段对话或独白读两遍。C.By bike.king was crowned or that the current ruler's was symbolically renewed.【群力压轴卷·2023届高三第三次·有听力英语试题·第1页（共4页）】

6.为落实党的二十大提出的“加快建设农业强国，扎实推动乡村振兴”的目标，银行拟在乡村开展小额贷款业务.根据调查的数据，建立了实际还款比例P关十还款人的年收人x(单位：万的g加原爽P团。已知暗货意人的年致人为y万元时，其头际还放比衡50%.若银行希望实际还款比例为40%，则贷款人的年收入约为()（参考数据：31.1,ln2≈0.7)A.4万元B.8万元C.6万元D.5万元,7.已知抛物线C的焦点F在x轴的正半轴上，且焦点到准线的距离为2，过点F且倾斜角为60°的直线交抛物线C于A,B两点，则FA·FB1=（)A华B.5cD.28.已知函数/)=mor+孕，对于xeR,f)s/(),且因在区间018上单调递增，则0的最大值是()A.-Bc号D.二、多项选择题：本题共4小题，每小题5分，共20分，在每小题给出的选项中，有多项符合题目要求.全部选对的得5分，部分选对的得2分，有选错的得0分。9.已知向量ā=(1，m),方=(2,4)，则下列说法正确的是（）A.若a+=√10，则m=5B.若a∥6，则m=-2C.若a⊥6，则m=-1D.若m=1,则向量ā，b的夹角为饨角10.随机抽取某班20名学生在一次数学测验中的得分如下：50,58,65,66,70,72,75,77，78,78,80,81,81,83,84,85,88,90,95,98,下面说法正确的是()A.这组数据的极差为48B.为便于计算均数，将这组数据都减去70后得到的均数与原数据的均数相差70C.为便于计算方差，将这组数据都减去70后得到的方差与原数据的方差相差0D.这组数据的第75百分位数是84.511.已知直线(m+2)x+y-m-3=0,P(x,y)是圆Cx2+y2+2x-3=0上的一点，则()A.直线1过定点(1,1)B.圆C的半径是V2C.点P可能在圆x+y2=1上D.点P到直线1的最大距离是5+212.已知正方体ABCD-A,B,C,D,的棱长为2，P为底面ABCD内（包括边界）的动点，则下列结论正确的是()A.三棱锥B-CD,P的体积为定值B.存在点P,使得D,P⊥面A,BCC.若D,P⊥B,D,则P点在正方形底面ABCD内的运动轨迹长为22D.若点P是AB的中点，点Q是C的中点，经过D,P,三点的正方体的藏面周长为25+32三、填空题：本题共4小题，每小题5分，共20分。13.在x+的展开式中，常数项等于(用数字作答)√x【24届的服二串新高考高三摸底调所洲浅数学第2页（共4页）】

注意：Christma1.写作词数应为80左右，注意：1.至2.请按如下格式在相应位置作答。A part-time job I have done2.iBe:alone co第二节（满分25分）阅读下面材料，根据其内容和所给段落开头语续写两段，使之构成一篇完整的短文。Growing up,I always heard people say work hard pays and that working hard is avirI never really understood the meaning of these words until I reached the age where my parentsallowed me to have my first job.My dad always insisted that I should learn how to give andotask for.What could I possibly give?I always thought.Although my mum always stood up forme,I thought she had come to see sense in my father's argument.She stopped giving me mymonthly allowance and asked me to look for a job.Christmas is a season for merrymakers and entrepreneurial (characters.My child-hood friend,Mike was one of the latter.Although we grew up together and got in troubletogether,Mike and I were two sides of the same coin.I was an introvert and a bookworm,andMike was an extrovert and a merrymaker.His added advantage over me was that he came froma family of entrepreneurs.Therefore,while I saw the festive season as another time of the yearwhen people celebrate Christmas,he saw it as a perfect time to make money.Ironically,Ineeded this side of him,given my present financial situation.Mike was not of the"work-hard-pays"school of thought.He belonged to the"worksmart"school of thought.If anyone asked me the difference,I couldn't tell.When I told himabout my problem,he saw a business partner.He told me about his business idea-makingChristmas trees and selling themonredit.I thought,"didnthear himwel,askedimtoreeat what he had just sd.Ofcos,he noticed my disbeiekshis idea.At this pint,he todhehad researched andeiethashopsd全国100所名校最新高考冲刺卷第11页(C共12页)【23·（新高考）高考样卷三范多己58222：34VvoS7©

三、解答题（本大题共9小题，共72分.解答时应写出文字说明、证明过程或演算步骤）1.计算：8-+(-252-（π-3.14°×分18.用适当的方法解下列方程：(1)x2+3x=0;(2)3x2+x=3x+1.19.已关于x的方程2-3x+1=0有实数根，(1)求k的取值范围；(2)若该方程有两个实数根，分别伪名，和2，当龙+为+5=4时，求k的值.20.某校八年级学生全部参加“生物、地理中考”，从中抽取了部分学生的生物考试成绩，将他们的成绩进行统计后分为A、B、C、D四个等级，并将统计结果绘制成如下的统计图，请结合图中所给的信息解答下列问题：个人数32523B246%15101210D5AB CD等级(1)抽取了」名学生成绩；(2)请把频数分布直方图补充完整；(3)扇形统计图中A等级所在的扇形的圆心角度数是(4)请根据以上调查统计结果，向学校提出一条合理化建议，21.如图，已知行四边形ABCD,若M,N是BD上两点，且BM仁DN,AC=2OM,(1)求证：四边形AMCN是矩形；(2)△ABC满足什么条件，四边形AMCV是正方形，请说明理由.ADNMC第4顶/共顶

21.解析：(1)由已知得渐近线方程为bx±ay=0,右焦点F(c,0),=5,又a2+b2=c2,解得b=√5.2分Na+b又因为离心率e=S,解得a=l,c=2.3分a双曲线的标准方程为x-上=13.4分(2)解法1：当直线1的斜率不存在时，其方程为x=1,此时，△FMN的面积S.FAOV=3;.5分当直线I的斜率存在时，设其方程为y=c+m,直线与双曲线联立得x-号=1→-+2x+m+3=0,…6分y=kx+m因为相切，所以△=4k2m2-4(k2-3(m2+3)=0,解得m2=k2-3>0..7分另设：M(x,y),N(x2,2)联立3x,y广=0(2-3x+2kx+m=0y=kx+m-2km -2kX+x3=k2-3m,xx2=1y+为=kx+5)+2m=-3m2=k2.xx2+km(x+x2)+m2=-3在△OMN中，OM=2x,ON=2x2万Sow=MWkin∠oN=2x号...10分所以S.w=S,om+.ow-S,ow=0Fby-V5,所以sm=0+为P-4g房-5是+12-6.11分9因为m=k-3>0,所以S.A-V+12-5>25-5=5

河南省九年级大联考阶段评估卷（一）数学试卷一、选择题（每小题3分，共30分）在每小题给出的四个选项中，只有一项是符合题目要求的.1.下列方程是关于x的一元二次方程的是A.ax2+bx+c=0B.x3-1=x2+2xD.x2+1=2x-3的2.若方程(m-1)x2+x-m=0是关于x的一元二次方程，则A.m≠0B.m≠1C.m>0D.m>1柒3.方程(x+2)(x-3)=0化为一般形式后，常数项为A.1B.-1C.-6D.-5部4.一元二次方程x2+4x7=0配方后可化为长A.(x-2)2=4B.(x+2)2=4C.(x-2)2=11D.(x+2)2=115.下列方程没有实数根的是3A.x2-4=0B.x2-4x+4=0C.x2-3x+1=0Dx2-2x+4=06.x±1是关于x的一元二次方程x2-mx+2n=0的解，则20233m+6n的值等于A.2019B.2020C.2022D.2023名7.抛物线y=-3(x-5)2+2的顶点坐标为A.(5,2)B.(-52)C.(5,-2)D.(-3,2)的8.二次函数y=x23,若在其图像的射称轴左侧，y随x的增大而增大，则下列各点不在其图象上的是A.(-1,5)B.(-1,-5)C.(1,-5)D0,0)9.如图，某小区有→块长16m,宽10m的矩形花园，现要修三条人口宽度相第的小路，每条小路的两勉是互相行的.若使剩余面积为126m2.求小路的入口宽度，若设小路的人口宽度为xm,则根据题意所列方程正确的是A.(16+2x)(10+x)=126B.(16+x)(10+2k)=126C.(16-2x)(10-x)=126D.(16-x)(10-24)=126九年级数学试卷第1页（共6页）

oneother.Now,they often communicate by WeChat.Yesterday,my father told th me with excitement,英语参考答案"Michael,with his family,will come to China to see usthis summer."How amazed it is!We're looking forward①本套试题考试范围：高一高二内容amazing大交②全卷品、中、难比例：6：3·1，金卷难度系数预to see him!seeing估：0.68左右。，。au为是第二节书面表达,级理两点西为中鸡合有One possible version:第一部分听力Dear Peter,1-5 CABAB 6-10 ACACB 11--15 CBCABIn the last email,you asked me to talk about the16-20 ACABCA动款层，言，家physical exercise in the long break time in our school.第二部分阅读理解Here's something about it.第一节In order to ensure that students have one hour of21-23ABD24-27 CCAB 28-31 BCDAphysical exercise time every day,our school conducts32-35 CBDDsports activities during the break time after the second第二节0深2class,which lasts for 30 minutes.During this period,the36-40 AEGDF成遮首图喻students participate in various sports activities,such as第三部分语言知识运用running on the playground,doing eye exercises,and our第一节完形填空self-developed basketball exercises and so on.41-45 ABCAD 46-50 DBDCA 51-55 CBBADThese activities have attracted students to step into56-60 CDABCthe sunshine from the classroom.Obviously,they're人第二节语法填空beneficial for enhancing the physical fitness of our61.groups 62.to 63.than 64.their 65.astudents.Now,we've truly understood the concept of66.exactly 67.causes68.social 69.to become"exercising one hour a day,working healthily for fifty70.settingyears,and living happily for a lifetime."第四部分，写作Do you also have such sports activities in your第一节短文改错school?(117 words)Having friends are a blessing.An old saying statesBest wishes!is政Yours,that a true friendship never dies.But can it lasted forLiHualastmore than 30 years without A single meeting?That's(一)评分原则a1.本题总分为25分，按5个档次给分。that has happened between my father and his English2.评分时，先根据文章的内容和语言初步确定其所whatpen friend Michael.We started writing to each other in属档次，然后以该档次的要求来衡量，确定或调整档次，They最后给分。their teens.My father was thirteen,six months old than3.词数少于80和多于130的，的情扣分。olderMichael,as he sent Michael the first letter.Over the4,评分时应注意的主要内容为：内容要点、应用词year,they've written more than 200 letters to each汇和语法结构的丰富性和准确性及上下文的连贯性。years5.拼写与标点符号是语言准确性的一个方面。评英语参考答案第1页（共8页）

高二数学参考答案1.C因为A={p,e,a,c,h},B={a,p,l,e},所以A∩B={p,e,a}.2(因为已品当-1i所以叶=-23.A直线a2x+y-1=0的斜率为-a2>-4,解得-2

If(x)川I2+22①当1<1≤2时，o)f(x儿x=f0》=-2+4-3②当22+V2时，p(0)Hf(x)lax=fe)=2-4+3-t2+4t-3,12+V2.(3)由题意得x2-4x+9≥2x对任意r∈[4,4]恒成立，①当x=0时，9≥0成立，此时m∈R:2m≤-4+9=x+9-4②当0

∠Q2PQ3+…+∠Q,PQ+1+…+）,其中Q.(i=1,2,3,…k,k≥3)为多面体M的所有与点P相邻的顶点，且面Q,PQ2,Q,PQ,,QPQ,遍及多面体M的所有以P为公共点的面。如图是正四面体、正八面体、正十二面体和正二十面体，若它们在各顶点处的离散曲率分标号涂别是a,b,c,d,则a,b,c,d的大小关系是(写在答只有一个正四面体正八面体正十二面体正二十面体A.a>b>c>dB.c>d>b>aC.b>a>d>cD.a>b>d>c二、选择题（本大题共4小题，每小题5分，共20分。在每小题给出的选项中，有多项符合题目要求.全部选对得5分，选对但不全得2分，有选错的得0分。)9.已知向量a=(3,-2),b=(2,t)(t∈R),则A(A.另á方向相同的单位向量的坐标为21313B/当t=1时，a、b不共线C.当1=2时，a与b的夹角为锐角D.当t=4时，b在a方向上的投影向量为3213'1310.设等比数列{an}的前n项和为Sn,前n项积为Tn,若满足01,(a221)(1024-1)<0,则下列选项正确的是4y{an}为递增数列B.S2023+1则数列C.当n=2023时，Tn最小、D当T>1时，n的最小值为4047山.已知函数x)=1g,(1+本)2，则下列说法中正确的是A.函数f(x)的图象关于原点对称B.函数f(x)的图象关于y轴对称C.函数f(x)在[0，+∞)上单调递减D.函数f(x)的值域为12.已知四棱台ABCD-A,B,C,D,中，底面ABCD是面积为16的正方形，点A,在面ABCD5上的射影为点A,DD=2A,B=2,则A.面ACC,A,⊥面ADDA,B.四边形BDD,B,为等腰梯形C.四棱台ABCD-A,B,C,D,的体积为14D.直线CC,与BD垂直三、填空题（本大题共4小题，每小题5分，共20分。）1PQ2+13.已知等比数列a,满足，8-4，则公比g=2乙a-a-【高三第三次联考·数学·共6页·第2页】

高三·英语·高频考点八·参考答案1.due2.average3.variety4.emotions5.stirred6.threat7.harmony8.creature9.effective10.be removed11.make out12.day and night13.watch over14.recover from15.stirring up16.adapt to17.When it comes to raising children18.to search for19.pay attention to20.under pressure【解题导语】这是一篇说明文。通过伦敦一家养蜂蜜的酒店，指出蜜蜂授粉的重要性，以及现在栖息地的破坏和蜜蜂数量的减少的问题，旨在呼吁保护蜜蜂。2l.C细节理解题。根据第二段最后一句“In the longrun,bees are amazing creatures to work with.You can't help admiring the way they operate.They really do put the good of the communityfirst,”she says.(从长远来看，蜜蜂是一种令人惊叹的生物。你不禁钦佩它们的运作方式。它们确实把团体的利益放在第一位，”她说。)”可知，Camilla Goddard很钦佩蜜蜂生活的方式。故选C项。22.C推理判断题。根据第三段最后一句“During theSecond World War,Winston Churchill was afirm supporter of bees and made sure they got ex-tra supplies to carry on with their pollinationwork,even as the German army dropped theirbombs.(第二次世界大战期间，温斯顿·丘吉尔是蜜蜂的坚定支持者，即使德国军队投下了炸弹，他还确保蜜蜂获得额外的补给，以继续授粉工作。)”可以看出，丘吉尔很看重蜜蜂授粉，肯定是因为蜜蜂授粉价值重大，因此这强调了蜜蜂授粉的价值。故选C项。23.A细节理解题。根据第四段“Using more and moreland,agricultural industry reduces spots wherebees can live.(农业产业使用越来越多的土地，减少了蜜蜂的栖息地。)”可知，蜜蜂栖息地减少的直接原因是现代农业的发展。故选A项。24.C主旨大意题。根据第一段“Here in the middle ofLondon,something extraordinary is going on.You can hear a loud and unmistakable sound ofbees doing what they do best:making honey.(在伦敦市中心，有一件非同寻常的事情正在发生。你可以听到蜜蜂在做他们最擅长的事：酿蜜时发出的响亮而明确的声音。)”可知，这一段描述的场景是Bee Hotel里蜜蜂的活动，本文通过11

35.What's the last paragraph mainly about? A.Cheetahs'abilities to run faster. B.Lessons runners can learn from cheetahs. C.A running form different from other animals. D.Differences between two animals'running frequency

was too common.So I changed it to the shared bike. M:That's impressive.I want to pick an easy one and finish it as soon as possible. W:Yes.You should hurry up and make the best use of your time. M:I think so.I should start working on it right now.Thanks for reminding me of the report,or Miss Lee must be angry with me in class. W:You are welcome. (Text 9) M:Hi,Lucy.You look worried.Is everything OK? W:Hi,Mike.Actually we've just got a new boss and he's expec- ting us to start work at 8 o'clock in the morning.It's terri-

W:What's your name? M:James Thompson.J-A-M-E-S. W:OK.What flight will you be travelling on? M:It's Air Canada,flight number AC936,from London Heath- row, W:That's $45,please. M:My VISA card number is 3303 8450. W:OK.That's everything.Have a nice trip. M:Thanks. (Text 10) W:Mountain Elementary School is hosting an event to honor the artist Sheldon Williams.Please join us in the gym at 7:00 pm on Wednesday for a view of his artwork.Food and drinks will be served.Admission is free although we are asking for a donation of 5 at the door,which will go to the school's art department.

47.A.vaguely B.meaningfully C.individually D.cautiously 48.A.adventure B.research C.setting D.assignment 49.A.controversial B.constructive C.temporary D.permanent 50.A.shadow B.pressure C.donation D.duty 51.A.life B.homework C.credits D.degrees 52.A.arranged B,forced C.expected D.forbade 53.A.present B.imagine C.pause D.insert 54.A.shabby B.relaxing C.harmonious D.original 55.A.task B.meeting C.appointment D.travelling 56.A.content B.strict C.familiar D.associated 57.A.unhappy B.unhelpful C.unbearable D.unpopular

Japan is particularly easily affected by natural disasters be- cause of its climate and topography(地形)，and it has experi- enced many earthquakes,typhoons,and other types of disasters. A number of factors contribute to the high incidence of natu- ral disasters in Japan.First,the country faces extreme climatic changes,such as seasonal storms and typhoons,as well as heavy snowfall on the Sea of Japan.Second,Japan's topography is rug ged(崎岖不的).Third,Japan is located in the Pacific earth quake belt and is frequently struck by earthquakes.And fourth, Japan is located in the circum-Pacific zone,in which almost all the volcanoes of the world are concentrated,and has 83 active volcanoes-one-tenth of the world total.