数，则b=0或2十b2=1,所以必要性不成立，当=0，之十1无意义，所以充分性也不成立，所以x为实数是之十为实数的既不充分也不必要条件，故②不正确：③若=乏=1，则显然之一，不为纯虚数，充分性不成立.设=c十di(c,d∈R),若之为纯虚数，则有aC=0,所以必要性不成立，所以=乏是义一b一d≠0为纯虚数的既不充分也不必要条件，故③错误；④若虚数之和之。互为共轭复数，则=之=a一bi,它们在复面内对应的点分别为(a,b),(a,一b),关于实轴对称，故④正确.【解题分析】显然m∥n,则存在实数入，使m=n,即2a十b=入(a十b),因为向量λ=2a,b不共线，所以=之，所以t=λt=18.2【解题分析】因为D为AB的中点，所以2C方=CA+C克，所以4C市=(C才十CB)2,即41CD12=1CA12+1CB|2+2CA·CB,所以12=a2+b2+2 abcos60°，所以12=(a十b)2-ab=16-ab,所以ab=4.由余弦定理可得c2=a2十b22 abcos60°=(a十b)2-3ab=4,所以c=2.9.【解题分析】(1)因为w=2十2x十1=（之十1）2=(3+i)2=8十6i,所以|w=√/82+62=10.x2+2x+1=0(2)因为x2+之x+1+i=(x2+2.x十1)十(x十1)i=0,所以,解得xx+1=0=-1.1a【解题分析11因为c0sA=-侣，所以smA=、1-(巴户-3100.利用1诚定甲有品后得之=55X310310sinB,解得sinB=10_V2310由于B∈(0，)，所以B=不41·36·【23·G3ZCJ·数学·参考答案一必考（理科）一Y】

12.What do the researchers tend to think?Choose Liquid Calories Wisely.班纾A.Chocolate is good for children's health.Sweetened drinks pile on the calories,but don't reduce hunger like solid foodsB.Delicious food improves the brain's ability.do.Satisfy your thirst with water.Try a glass of nutritious and low-calorieC.Maths is difficult for children to learn.vegetable juice to hold you over if you get hungry between meals.19 If you姓名D.All students like eating chocolate for exams.tend to drink a glass or two of wine or a cocktail on most days,limiting alcohol to13.How did the volunteers'calculations get improved after the drink?the weekends can be a huge calorie saver.A.Hot drink helps students operate computers fasten.Eat More Produce.得分B.Hot drink is likely to speed up the brain's activity.Eating lots of low-calorie,high-volume fruits and vegetables crowds out otherC.The flavanols help more blood flow into the brain.foods that are higher in fat and calories.20 Or try starting lunch or dinnerD.The flavanols are chemicals that make people relaxed.with a vegetable salad or bowl of broth-based soup.14.What can be concluded from the last paragraph?A.Go for the Grain.A.Flavanols can help solve more complex problems.B.Close the Kitchen at Night.选择B.Lower doses of flavanol have no effect on the brain.C.Be careful of alcohol calories,which add up quickly.答题C.People should eat more vegetables instead of chocolate.D.Before going back for more food,wait at least 15 minutesD.Students should have enough flavanols in the daily diet.E.Actually they usually end up eating more throughout the day.15.What's the best title for the text?F.Move the meat off the center of your plate and pile on the vegetables.A.Chocolate helps improve mathsG.Then brush your teeth so you will be less likely to eat or drink anything3B.Chocolate encourages fast studyelse.C.How to improve your maths study第二部分语言知识运用（共两节，满分45分）5D.How to count fast and accurately第一节（共20小题；每小题1.5分，满分30分）6第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后各题所给的A、B、C和D四个选项中，选出可以填入根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有空白处的最佳选项。两项为多余选项。Today I went to my daughter's school and spoke about kindness to 60 kidsplus teachers and teacher assistants.After a small talk about the meaning of9Simple changes to your lifestyle can help you lose weight and keep it off.Tokindness,I gave a 21 to the children.I told them to write a small 2210keep pounds off permanently,it's best to lose weight slowly.And many expertsabout an act of kindness that they had 23 and how that made them feel.Or if11say you can do that without going on a"diet".Instead,the key is making simplethey had 24 an act of kindness and how did that make them feel?In what way12.changes to your lifestyle.had that act 25 them?Then I and the Deputy Head and the Head Teacher willEat Breakfast Every Day.26 the best ones,the ones that will 27 for their feelings of compassion14Many people think skipping breakfast is a great way to cut calories.and love toward others.1516 Studies show people who eat breakfast have lower BMIs than breakfast-28 I was waiting for my daughter I saw some teachers that were at the16skippers and perform better,whether at school or in the boardroom.assembly(集会)29，I was hoping that they would tell me if they liked the171730 or not,but they didn't say anything.Establish a time when you will stop eating so you won't give in to the late-18Then this little boy came to me and said,"You know,I 31 the assemblynight munchies or mindless snacks while watching television.Have a cup of tea,today.”“Okay then are you going to write a32 story??”I asked..“T'm not good19suck on a piece of hard candy or enjoy a small bowl of light ice cream or frozenat 33,"the boy responded.So I explained that I would be 34 if he could20yogurt if you want something sweet after dinner.18just write a phrase or two about an act of 35.接下英语·单元检测卷（七）第5页（共8页）英语·单元检测卷（七）第6页（共8页）

去岳阳县2022届高三适应性考试物理试卷一、选择题：本题共6小题，每小题4分，共24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,天然放射现象的发现，证明了原子核具有复杂的结构。关于原子核，下列说法正确的是A.B.B射线是原子的核外电子电离后形成的电子流C.某原子核经过一次α衰变后，核内质子数减少4个增大压强不能改变原子核衰变的半衰期D.α射线的贯穿作用很强，可用来进行金属探伤2.一辆汽车在直的公路上运动，运动过程中先保持某一恒定加速度，后保持恒定的功率，其牵引力与速度的关系图像如图所示。若已知汽车的质量m、牵引力F,和速度及该车所能达到的最大速度，则根据图像所给的信息，下列说法正确的是A.汽车运动过程中的最大功率为Fw,B.速度为时的加速度大小为心FC.汽车行驶中所受的阻力为NnED.加速度恒定时，其大小为m0VI V23.如图所示，质量为2M的物块A静置于水台面上，质量为M的半球体C静置于水地面上，质量为m的光滑小球B(可视为质点)放在半球体C上，P点为三根轻绳P4、PB、PO的结点。系统在图示位置处于静止状态，P点位于半球体球心的正上方，PO竖直，PA水，PB刚好与半球体相切且与竖直方向的夹角0=30°。已知物块A与台面间的动摩擦因数为4，重力加速度大小为g,则X绳OP的拉力大小为sB.C受到的摩擦力大小为5m8PC.A受到的摩擦力大小为mgR地面对C的支持力大小为(M+m)g71777777777777物理试卷第1页共8页

思想政治（十五1.B人类进入奴隶社会后，剥削代替了等，专政代【2.D本题考查新中国成立的意义、社会主义改造的替了民主，在看似倒退的压迫剥削背后，人类社意义。1956年社会主义改造基本完成，标志着会向前走了一大步。这一大步体现在金属工具我国实现了从新民主主义向社会主义的转变，A的广泛使用等促进了生产力的发展，文字的发错误。中华人民共和国的成立，标志着帝国主明和应用等使人类摆脱了蒙昧野蛮的状态，②义、封建主义、官僚资本主义被推翻，B错误。中④符合题意。原始社会末期，土地变为私有财华人民共和国的成立，实现了中国从几千年封产标志着私有制的确立，奴隶社会人类才迈入建专制政治向人民民主的伟大飞跃，C错误。了文明时代的门槛，①观点错误。该选项强调1956年，我国顺利实现生产资料所有制的社会奴求国家是奴隶主阶级进行阶级统治的工主义改造，在中国建立起社会主义制度，完成了具，这不是人类迈入了文明时代的表现，③与题中华民族有史以来最深刻最伟大的社会变革，D意无关。故本题选B正确。故本题选D。新S2S·小题练·恩想政治答案第21页（共24页）

54.A.lonelyB.exhaustedC.thirstyD.hungry55.A.fortunateB.normalC.safeD.unforgettable56.A.eatenB.stolenC.delayedD.inspected57.A.realizedB.guessedC.abandonedD.predicted58.A.complained about B.apologized forC.insisted onD.gave up59.A.MoreoverB.InsteadC.ThusD.Therefore60.A.informingB.convincingC.accusingD.suspecting第二节语法填空（共10小题；每小题1.5分，满分15分）阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。Zhoukoudian is a small village lying about 50 kilometers to the southwest of Beijing City.IntheI92Os,archaeologists(考古学家)discovered some prehistoric human bones there,6lchanged peopled view of China's history.They came from 62 unknown species of man,and werethe first evidence of human life in China thousands of years ago.The remains were three teeth!In 1929,a complete skull ()63(dig)out.Eventually,archaeologists found almost 200items,including 6 skulls and more than 150 teeth.These discoveries proved the 64 (exist)of ahuman species who lived in the area between 700,000 and 200,000 years ago.Four sites wherePeking Man and their 65(relative)lived were discovered on the northern face of Longgushan.Zhoukoudian was listed 66 a World Heritage Site in December 1987.It has not onlygiven us important information about prehistoric Asian societies,but also provided amazingevidence about the process of evolution.Today,parts of the caves have been67 (bad)destroyed by rain.Some areas are almost completely covered in weeds,68(cause)seriousdamage.Also,pollution from the nearby factories69(contribute)to the problem.This is avery serious matter and the Chinese Academy of Sciences is doing all it can 70(raise)publicawareness of it.第四部分写作（共两节，满分35分）第节短文改错（共10小题；每小题1分，满分10分）假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。文中共有10处语言错误，每句中最多有两处。每处错误仅涉及一个单词的增加、删除或修改。增加：在缺词处加一个漏字符号（人），并在其下面写出该加的词。删除：把多余的诃用斜线（八）划掉。修改：在错的词下划一横线，并在该词下面写出修改后的词。注意：1.每处错误及其修改均仅限一词：2.只允许修改10处，多者（从第11处起）不计分。This week I took part in a knowledge competition on the Silk Road held in our school,whichgave me a great sense for achievement.On Monday,a poster,which announced the competition,attracting my attention.I immediately sign up for it.A few days later,I participated the first round

因为∠ADC=90°，所以四边形BCDM是矩形，所以BM⊥AD,因为PM∩BM=M,PMC面PBM,BMC面PBM,所以AD⊥面PBM,而PBC面PBM,所以AD⊥PB.因为AD∥BC,所以PB⊥BC(2)取PD的中点N,连接AN.因为三角形PAD为等边三角形，所以AV⊥PD.因为面PAD⊥面PCD,且面PAD∩面PCD=PD,ANC面PAD,所以AV⊥面PCD,CDC面PCD,所以AN⊥CD.在直角梯形ABCD中，AD⊥CD,AN∩AD=A,且ANC面PAD,ADC面PAD,所以CD⊥面PAD.因为CDC面ABCD,所以面PAD⊥面ABCD.B10.解析：(1).四边形ABCD是行四边形，M、N、Q分别为BC、PA、PB的中点，.VQ∥AB∥CD,MQ∥PC,又NQ面PCD,CDC面PCD,MQ丈面PCD,PCC面PCD,∴.NQ∥面PCD,MQ∥面PCD..'VQ∩MQ=Q,且VQ、MQC面MVQ,'.面MNQ∥面PCD.（②)存在点是线度PD的巾点，使得MN疗面△CE,且S2,证明如下：取PD的中点E,连接VE、CE、AE、AM,,N、E、M分别是AP、PD、BC的中点，∴NE/2AD,NE=号AD.且BC∥AD,BC=AD.即MC∥号AD.MC-AD,.NE∥MC,VE=MC,∴.四边形MCEN是行四边形，∴.MN∥CE,:MNE面ACE,CEC面ACE,.MN∥面ACE,且PD2:PE 1·23·【22新教材·zc.数学·参考答案一XJB一必修第二册一QG)

■口口口■口■当y=4时，直线AE的方程为x=1,过点F1,0),所以直线AE过定点F(1,0),…(7分)②解：由①知，直线AE过焦点F(I,O),所以|AE曰AF|+|FE=(x+I)+1+1=x+1+2,设直线AE的方程为x=my+1,因为点A(,,)在直线AE上，故m=占1%设B(x,y),直线AB的方程为y-y,=-2(x-x),2由于%≠0，可得x=-己y+2+,代入抛物线方程得y+8y-8-4红=0，2yo884所以yo+y=-一，可求得=-%-。，x=+x+4,所以点B到直线AE的距离为d=I+m则△ABE的面积S=当且仅当x,=一即x=1时等号成立，所以△ABE的面积的最小值为16.Xo数学参考答案·第10页（共10页）

17.解：(1)取D为原点，DA所在直线为x轴，过点D且行于直线AB的直线为y轴，DE所在直线为：轴建立空间直角坐标系，E则4,0,0)，B,2,0),E(00,5),F(-125)B2=（-1,-2,5),A8=(0,2,0),设面ABE的一个法向量为n=(x,y,z),{602y=0不妨设x=√5，y=0,则z=1,n=(5,0,又：DF=（-l2,5),.DF.n=-5+√5=0，.DF⊥n.又，DFd面ABE,.DEII面ABE:·高若数学研究中心

设点D到面a的距离为d,则dsm·Di8当a=2时，dmas=2W6312分Iml（a-4)2+2020.解：(1)设双曲线C的半焦距为c,由Af·Af=(-c+n,0)(c+n,0)=a2-c2=-5,又e=c=3=02,得：a=2,c=3.…3分所以b2=c2-a2=5,则双曲线C的标准方程为=1.…4分45(2)①当直线l的斜率存在时，设其方程为y=kx+m,显然k≠0，-三1联立{45，消去y得：(42-5)x2+8hmx+4m2+20=0,…6分y kx+m由直线1与双曲线C有且只有一个公共点，且与双曲线C的两条渐近线分别相交知：直线1与双曲线的渐近线不行，所以42-5≠0且m≠0，…7分(4=642m2-16(4k2-5)(m2+5)=0于是得,则m2=42-5>0,…8分4k2-5≠05x2y2双曲线C的渐近线为y=±2450,联立45，消去y得：(42-5)x2+8kmx+4m2=0,y=kx+m4m2设M(x1,y1),N(x2,y2),则x1x2==4.10分4k2-5②当直线l的斜率不存在时，x,=x2=±2，故xx2=4,…11分综上，点M与点N的横坐标的积为定值4.12分21.解：(1)散点(：，ω：)(1≤i≤6)集中在一条直线附近).设回归直线方程为o=w+a,由641，16w,=3.05,……1分616-0w-n075.3-6×4.1×3.05uf-n101.4-6×4.122=1a=o-6i=3.052×41=1,3分1:.变量w关于v的回归方程为w=2+1,nx=nyIny=2lnx+1..y=ex综上，y关于x的回归方程为y=ex.5分数学试题答案第3页（共5页）

案乐26·【23·G3ZCJ(新教材老高考)·数学·参考答案一必考一N】