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)
联合测评(N)6.巴知函数g)二+号是在1心)上存在概值,则实数口的取值范围为A.(,)B6,号)C.(0,1)D.(0,e)姓名二、选择题:本题共4小题,每小题5分,共20分.每题给出的选项中有多项符合要求,全都选对得5分,部分选对得2分,错选得0分.9.已知函数∫(x)的图象关于直线x=1对称,关于(2,0)对称,则下列说法正确的是A.f(2-x)=f(x)B.f(4-x)=f(x)日的答案标号涂黑,C.f(4-x)=-f(x)D.f(4+x)=f(x)案写在答题卡上10.已知抛物线x2=2y(p>0)的焦点为F,过点F且斜率为3的直线L与该抛物线相交于M(x1y),N(x2,y2)两点(其中工1>0),则下面说法正确的是A.若=2,则x1x2=-4B.若y1y2=1,则p=2项符合题意,请C若力=2,则5aw-学D.若=2,则MF1=8+4311.已知各项均为正数的数列{an》满足a1=2,an=3a-1+2(n≥2),b.=na,数列{b.}的前是n项和为Tn,则下面说法正确的是A.a3=26f人w器1B.an=3”一2BC.T.-(2m=1)X3+1=2n2-2m+3a十1a2十11.星a,+11Daia2 aza3 ana+412.已知矩形ABCD中,AD=3AB=25,△ABD沿着BD折起使得形成二面角A'-BD的夹角为锐设二面角A'一BD一C的面角为日,则下面说法正确的是,排A.在翻折的过程中,A'、B、C、D四点始终在一个球面上,且该外接球的表面积为12πB.存在0,使得A'B⊥CD的(米之语温交斜猫B放入到同C.当tan0=2√2时,|A'C|=2√2D,当cos0=3时,直线A'C与直线BD的夹角为45三、填空题:本题共4小题,每小题5分,共20分.公漫:l3.已知正项等差数列{an}满足a号十2a2a6十a-4=0,则a4元兰油m.胎范围为14.已知病毒A在某溶液中的存活个数传)的概率满足P(X=)3e(0,2知只要该溶液中存在一个A病毒,就可以导致生物C死亡,则该溶液能够导致生ABC所亡的概率为x。2x+2,0
当n=1,T=c1=1<1+29分10分所以1.=6+ca+s+…+,<1+1+专(1-2)+1+号(合3)++1+号(n)=时合(1-+-3+)=+号(1-)=-+所以对于任意的n∈N,T,
).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."
分数学用报2022一2023学年聊城专版九年级第9~12期MATHEMATICS WEEKLY答案专期即b=-4a.①因为抛物线经过点A(0,a),点B(1,2),所以a+6+c=2,lc=a.所以b=2-2a.②H①②,得-4a=2-2a.得a=-1.所以c=-122.(1)当=40时.1=1.所以1=40解得k=40.所以函数表达式为:=40【第12期】第5章综合测试题当v=m时,t=0.5,所以0.5=40-、1.C2.B3.D4.B5.B6.B解得m=80.7.C8.D9.B10.B11.B12.D(2)把=60代入1=40,得:=子提示:因为40>0,t随x的增大而诚小.y=x,1.将=与y=号联立.即,=1所以最大值为60km/h时,t有最小值为名h所以汽车通过该路段最少需要名h,解得任:长23.(1)根据题意,得点A的坐标为(-12,0).点B中点A在第象限.可其坐标为(1.1)。的坐标为(12.0).设直线AB的表达式为y=-x+a.设抛物线的表达式为y=a(x-12)(x+12)将点A(1.1)代人,得1=-1+因为抛物线的顶点C的坐标为(0,8),解得b=2.将c(0,8)代人抛物线的表达式,得a=-8所以直线AB的函数表达式为y=-x+2当y=0时,-x+2=0.解得x=2.所以抛物线的表达式为)=皮+8。故点5的坐标为(2,0.(2)能.二、13.-号14.x=1,(1,-9),(0.-8)理l:当x=122,即x=62时.215.y=-316.117.2y=3×62)+8=4.提示:因为3.5<4,所以这条河鱼餐船能到桥卜17.山计算,得n=3n=2=-分=-…24.(1)设直线AB的表达式为y=+所以y的值每三个一循环闪为直线AB过点A(2,0),B(1,1).因为2021÷3=673…2所以”解得传=2·所以ya=2=2.所以直线AB的表达式为y=-x+2三、18.设这个二次函数的表达式为y=ax2+bx+c.因为抛物线y=ax过点B(1.1).[a-b+c=2,所以a=1.根据题意,得c=-3,a+b+c=-3所以抛物线的表达式为y=x.a=5(2)因为直线y=-x+2与抛物线y=x2父于点B,C,解得6=-3所以另一个交点C的坐标为(-2,4)c=-3.所以S左mc=SaWE-S益R=3.所以二次函数的表达式为y=3-3x-3。因为SA=S6c,且OA=2,所以点D的纵坐标为3.19.()设函数表达式为y=是因为点D在抛物线y=xX上,当x=-2时y=3.所以3=专所以x2=3,即x=±3.解得k=-6所以点D的坐标为(-3,3)或(3,3)所以y关于x的函数表达式为y=-名25.(1)x=100+x,y.=7x(2)1y=4时,则4=-(2)根据题意,得y=00+100-月解得x=-号-2x-50+11250.20.(1)山题意,得k-1>0.因为a=-号<0,所以当x=50时,y的值最大.解得>1因为每次提价为20元,(2)将双曲线向右移2个单位长度后经过所以每问包房晚餐应提高40元或60元,获得点(4,1)包房总收人相同,所以双曲线y=-1必经过点(2,1).但从“投资少而利润大”的角度来看,应该尽所以1=,1.解得k=3量减少租出包房所以每天晚餐每间包房应提高60元,方可21.因为抛物线的对称轴是直线x=2.获得最大包房总收入,此时最大总收入为所以-会=2.11200元.
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-4
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·
20.【答案】W当1时,C=C6即点D,E分别为BC,BG的中点,在直三棱柱ABC-AB,C,中,B,C∥BC,所以B,EIBD,所以四边形BBED为行四边形,所以BB,∥DE,又AA,∥BB,所以AA∥DE,所以四边形AAED为行四边形,则ADAE.又因为AD文面AEB,AEC面AEB,所以ADW面AEB、…5分C(2)AA⊥面ABC,又∠BAC=90°,以{AB,AC,AA}为正交基底建立如图所示的空间直角坐标系A-yz,则点A(0,0,0),C(0,3,3),A(0,0,3),B(3,0,0),C(0,3,0)由BD-C5=0<1<)得E6x3-33),BC CB所以AC=(0,3,-3),AB=(3,0,-3),AE=(0,3,-3)设面ABE的一个法向量m=(a,b,c),则mA=0即{00取a=1,得m-1,m·AE=0,3t0+(3-3t)b=0,t√6令直线AC与面ABE所成角为0,则sin8=cos
18.(本题满分12分)如图,在三棱锥P-ABC中,已知PA⊥面ABC,面PAC⊥面PBC.(1)求证:BC⊥面PAC;(2)若C-VC,M是PB的中点,AM与面PBC所成的正弦值为子,求面PBC与面ABC夹角的余弦值,第18题图解:(1)过点A作AD⊥PC于点D,因为面PAC⊥面PBC,面PAC∩面PBC=PC,ADc面PAC,所以AD⊥面PBC.......4分则AD⊥BC,又因为PA⊥面ABC,所以PA⊥BC,PA∩AD=A,故BC⊥面PAC..….6分(2)几何法:因为BC⊥面PAC,所以BC⊥AC,又因为AD⊥面PBC,所以∠AMD为AM与面PBC的所成角,….8分令C=6,ACM0用0M粉+222a则sina@+G+子,解得a=V2..10分因为PC⊥BC,AC⊥BC,且面ABC∩面PBC=BC,所以∠PCA为P-BC-A的面角,cos∠PCA=4C=1-3.12分坐标法:因为BC⊥面PAC,所以BC⊥AC,则以CA为x轴,CB为y轴建立空间直角坐标系,z轴∥AP,取BC=V3,AC=1,PA=a,则AL,0,0),B(0,V5,0),P1,0,a),590=,=a50,西=9M(高二期末检测数学参考答案第4页(共9页)
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
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
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©
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
首项,公差为21的等差数列,其和为10X31+10×9X21当n=1时,a1=1,2=1255,选项D正确.故选ABD.当≥2时,可得号十器++号=7.由题意,数列{a,}满足a1=5,am+1=a-an十1,可得会-是--2=2-a+1-1=a2-a.=a,(a.-1),211a+1-1a,(a,-d当n=1时,a1=2-1=1也符合,故an=2-n.(6分)12-n,n为奇数1 a-m1一1,即1=1一(2)由(1)知b.={2-·,m为偶数(1S2n=[1+(-1)+(-3)+…+3-2n]+(2°+a3a1-1-)+(a2-12-2+…十22-2m)ta++(-1(a2020-1a221-)=1+3-2m)n+1-111.11211as-1 daou-7互-1aai=4-a可,144又由an+1=a片-an十l,可得an+1-an=a房-2am+1==n2-m+号(1-)a.-1≥0.a=号>1,a1-a>0,9a1>上-W+2a+号-3x15分)a,数列{a}单调递增,计算可知,a1=三,11.(1)由题意,令b。=2a-5’n16,a3256a4-103441=361=65536,a5≈1.91,a6≈2.74,a2021-1>设数列6,)的前n项和为S则S.=子-1八1.4-a与∈(3,4),甲m的整数都分是当=1时,6=S=子3.8,根据题意,数列《S}是首项为号,公比为号的等比数当22时6=8-S=骨”写-日数列6}是常数列,即6=2a”=对1列,故5.=(号)”,故S+S+S,十…+S=故a,=35,n∈N.7分)守”-98+81-号(2由)知ad,8n+3m+D+可4=[3n+53m+D+],11岩脚台1-等台)≥是支形可得:9≥20×,又由mT.=1+1+…+1∈N*,则有n≥4.alaz aza3anan+19.由题意可知,a1=2,n≥2时,an一am-1=n+1,则am=(3×+书-3×2+5)+音(3x2+5=47111a1+(a2-a1)+(ag-a2)+…+(an-am-1)=2+3十…十n十1=n(2+n+1)_-nn+3》,n=1时,a1=2也3X3+5)+…+4[111223L3m+5厂3(n+1)+5]1成立,an=n(n十3),1nn29(m+2)a,(n+2)×n时3=号[3x2+X255x+2+…1-a+2+-2十23.=2(日-青+23m+53(m+1)+5]-4「11子-+…+中2-2(号-)3L3×1+53(n+1)+5J=台哈-3m十+512n3n+9114解答题=6-9n+2410.(1)由2"-1a1+2m-2a2十…+a.=n的两边同时除以2m6m+16(15分)可得号+器+…十会=12.(1)由题设2Sn=an十a且am>038
4版鲁教八年级参考答案第4期主编:卞彩虹责编:田雪丽排版:周家伊电子邮箱:renjiaoshuxue8@126.com数学周刊第16期参考答案情境导入:该机器人所走的总路程为24米。二、填空题(每小题4分,共24分)5.4第1课时多边形的内角和9.36010.16211.712.8813.(n-1)14.720知识清单:1.(1)12(2)23(3)342.720三、解答题(共44分)即学即练:1.B2.A3.B4.C5.九6.13215.(8分)解:因为正多边形的每个内角都等于150°,所以7.解:七边形的内角和为(7-2)×180°=900°正多边形每个外角的度数为180°-150°=30°.因为六个内角的和为780°,所以这个七边形的另一个内因为多边形的外角和等于360°,所以该正多边形的边数是360°÷30°=12.角的度数为900°-780°=120°.16.(10分)解:(1)设多边形的外角为x°,则有x+x+60=180,8.(1)这个多边形的内角和为1620°.解得x=60.(2)n的值为12.360°÷60°=6.9.解:(1)(n-3)(6-2)×180°=720°(2)根据题意,得n=2(n-3),解得n=6.所以这个多边形的内角和是720°(6-2)×180°=720°.(2)这个多边形所有对角线的条数为6×(6-3)9(条)。答:该n边形的内角和为720°210.解:(1)因为n边形的内角和是(n-2)·180°,所以多边17.(12分)解:设两个边数相等的多边形的边数为m,另形的内角和一定是180°的整数倍.因为2023÷180=11…43,一个多边形的边数为n.(m≥3,n≥3,m,n为正整数)(1)根据题意,得2m+n=20.所以多边形的内角和不可能为2023°,这三个多边形的内角和为2(m-2)×180°+(n-2)×180°=(2)设小敏求的是n边形的内角和,错加的外角为x°,则(2m+n-6)×180°=(20-6)×180°=2520°.0 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2 ∠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0 第13期B1版Keys:(One possible version客观题除外)课本链接1.Cold2.eat it3.on their bowls 4.Soup5.proud of主题漫步1-5 TTFFF第13期B2版Keys:(One possible version)知识“串联”For Section A1.握手2.一…就…3.令某人惊讶的是4.应该做某事5.伸出手6.drop by7.after all8.get mad9.make an effort10.clean...off11.take off12.worth the troubleIL.1.To our surprise,a simple act like shaking hands can make a big difference.2.In China,when we meet someone for the first time,we're supposed to shake hands with himor her.3.有些人在没有得到他们所希望的回应时就会生气。4.在我们的个人生活中,我们也应该努力与人握手。For Section B1.空碗2.指向3.犯错4.特地;格外努力5.make...feel at home6.be comfortable doing sth7.cut up8.get used to9.be excited about10.not...anymoreIL.1.to point at2.got used to3.make me feel at home4.cut up5.not;anymore语法点击1.Those animals are not supposed to live in the wild.2.When is Jenny expected to finish the report?3.When was the plane supposed to land?4.Are you expected to give a speech in front of all the students and teachers?5.Parents should help their kids learn to control their feelings.写作一招鲜Dear Jason, 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 【答案与解析】
人们总是以忙为借口说没有时间写感谢信。本文通过一位总
裁给员工写感谢信的故事告诉我们写信表达感谢和善意的重要
性。
41.A一项研究表明,大多数参与调查的人不到五分钟就能写一
封感谢信。
42.A然而,在这个快节奏的世界,我们似乎从没有想过动笔写感
谢信。
43.D
44.C根据下文a quick text or an email可知,我们总是做对我们
来说方便的事情一发一条短信或一封电子邮件。
45.B
我们很容易以忙为借口。
46.C根据下文when Doug Conant became CEO of Campbell's 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.


