重庆市第一中学高三英语3月月考试题

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重庆市第一中学届高三英语上学期第三次月考试题含解析

重庆市第一中学届高三英语上学期第三次月考试题含解析

重庆市第一中学2021届高三英语上学期第三次月考试题(含解析)注意事项:1. 答卷前,考生务必将自己的姓名、准考证号码填写在答题卡上。

2. 作答时,务必将答案写在答题卡上。

写在本试卷及草稿纸上无效。

3. 考试结束后,将答题卡交回。

第一部分听力(共两节,满分20分)第一节(共5小题,每小题1分,满分5分)听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选岀最佳选项。

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. Where does the conversation probably take place?A. In a bank.B. In a restaurant.C. In a hospital.2. What will the woman most probably do this Friday?A. Do some shopping.B. Watch a movie.C. Organize a sales promotion.3. What does the woman think of the trip to Indonesia?A. Safe.B. Dangerous.C. Exciting.4. How much does the man make in a year?A. £49,000.B. £50,000.C. £ 60,000.5. What are the speakers mainly talking about?A. The man's travel experience.B. A flight to Romania.C. Family members.第二节听下面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。

重庆市第一中学高一英语上学期月月考试题

重庆市第一中学高一英语上学期月月考试题

重庆市第一中学2019-2020学年高一英语上学期10月月考试题第Ⅰ卷Ⅰ.听力部分(共二节,每小题1分,满分20分)第一节听下面5段对话。

每段对话后有一个小题,从题中所给的A, B, C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What will the woman do in the summer holiday?A.Work in the library.B.Have extra classes.C.Visit her grandparents.2.How did the man get the ring?A.The woman gave it to him.B.He got it from his parents.C.He bought it from a shopping mall.3.When is the project supposed to be finished?A.While the man is on the trip.B.After the trip is over.C.The day before the trip starts.4.Why does the woman want a part-time job during holiday?A.To earn more money.B.To practice working skills.C.To apply for a good college.5.Why isn’t the woman running faster?A.She always runs slowly.B.She just ran a race and is tired.C.Her leg has been hurting.第二节听下面5段对话或独白。

每段对话或独白后有2至4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。

2022-2023学年重庆市第一中学校高三3月月考英语试题

2022-2023学年重庆市第一中学校高三3月月考英语试题

2022-2023学年重庆市第一中学校高三3月月考英语试题1. Wedding Traditions and Superstitions (迷信)Good luck and bad luckHey, brides, hide a sugar cube into your glove according to Greek culture, the sugar will sweeten your union. In English tradition, Wednesday is considered the “best day” to marry. Ancient Romans studied pig insides to determine the luckiest time to marry. Rain on your wedding day is actually considered good luck, according to Hindu tradition. For good luck, Egyptian women pinch (掐) the bride on her wedding day. Ouch!It’s got a ring to itDiamonds set in gold or silver became popular as engagement rings among wealthy Venetians toward the end of the 15th century. A pearl engagement ring is said to be bad luck because its shape echoes that of a tear. Snake rings dotted with ruby eyes were popular wedding bands in Victorian England, which symbolized elernity. Aquamarine is said to ensure along, happy marriage.Show off at a partyThe Roman goddess Juno rules over marriage, the hearth and childbirth, hence the popularity of June weddings. Princess Victoria established the tradition of playing Wagner’s “Bridal Chorus” during her wedding in 1858. The bride stands to the groom’s left during a Chris tian ceremony, while the Catholic tradition of “posting the banns” to announce a marriage originated as a way to ensure the bride and groom were not related.Fashionable loreIn Asia, wearing robes with embroidered cranes symbolizes loyalty for the length of a marriage. In Korea, brides wear bright hues of red and yellow to take their vows (宣誓). In Denmark, brides and grooms traditionally cross-dressed to confuse evil spirits.Food and familyIn South Africa, the parents of both bride and groom traditionally carried fire from their hearths to light a new fire in the newlyweds’ hearth. Legend says single women will dream of their future husbands if they sleep with a slice of groom’s cake under their pillows.1. Which of the following may bring good luck to newlyweds?A.A sugar cube. B.A slice of groom’s cake.C.A pig’s insides.D.A pearl engagement ring.2. Which wedding tradition originated from religion?A.The popularity of June weddings.B.Women guests pinching the bride.C.The bride standing to the groom’s right.D.“Posting the banns” to announce a marriage.3. What may Asian newlyweds find socially acceptable at their weddings?A.Lighting a new fire.B.Brides dressed in red and yellow.C.Playing Wagner’s “Bridal Chorus”.D.Cross-dressing brides and grooms.2. I remember going to the British Museum one day to read up the treatment for some slight illness — hay fever, I thought it was. I got down the book, and read all I came to read: and then, I began to casually study diseases generally. Turning over the pages, I came to typhoid fever, read the symptoms and discovered that I had it. I was wondering what else I had got, and St. Vitus’s Dance turned up, which I thought I also had. So I determined to go through it thoroughly and so started alphabetically (照字母顺序排列的): ague I had, just in the acute stage. Cholera I had with severe complications; and diphtheria I seemed to have been born with.I sat and considered. What an interesting case I must be from a medical point of view! What a learning materia l I should be to a medical class! Students would have no need to “walk the hospitals”, if they had me. I was a hospital in myself. All they need do would be to walk around me, and, after that, take their diploma!I went to my doctor, who is an old friend of mine. I thought I would do him a good turn by going to him now. “What a doctor wants”, I said, “is practice. He will get more practice out of me than out of 1,700 of his ordinary, commonplace patients, with only one or two diseases each.” He said: “Well, what’s the matter with you?” I said, “I will not take up your time, with telling you what is the matter with me. But I will tell you what is not the matter with me. I have not got a housemaid’s knee (髌前囊炎). Everything else, however, I have got.” And I tol d him how I came to discover it all.He felt my pulse, looked at my tongue, and talked about the weather as usual, all for nothing. Then he wrote out a prescription, folded it up and gave it to me, and I put it in my pocket and went out. I did not open it. I took it to the nearest chemist’s and handed it in. The man read it and then handed it back. I read the prescription. It ran:“beefsteak, every 6 hours.ten-mile walk every morning.bed at 11 sharp every night.And don’t stuff up your head with things you don’t understand.”1. Why did the author go to the British Museum the other day?A.To see a doctor.B.To study medicine.C.To go to an exhibition.D.To seek for a treatment.2. How did the author find himself affected with various “illnesses”?A.Through a routine check-up.B.By reading the medical book.C.By consulting with experts.D.Through self-imagination.3. What can we infer from paragraph 2?A.The writer was put in charge of a hospital.B.The writer could treat his diseases on his own.C.The writer was refusing professional medical training.D.The writer considered himself valuable to medical study.4. Which of the following can be the main idea of the text?A.It’s never too late to learn.B.A disease known is half cured.C.An apple a day keeps the doctor away.D.Don’t trouble troubles until trouble troubles you.3. The highlights of every World Cup are the impossible goals, especially the arc (弧线) ball goals. It’s breathtaking to watch. Every spin (旋转) of the ball moves air across the surface, pushing it into a bend.When a soccer ball flies, the air forms a layer around the surface of the ball. As the balls pins, it changes the direction of the air to one side, says John Bush, an applied mathematician at MIT. This air pushes the ball in the opposite direction. The player starts with a strike on the outside of his right foot, which hits the left side of the ball, starting a clockwise spin. It throws the air off to the left, and the force created by the air leaving the ball pushes it to the right, explains Bush. Thus, a ball spinning to the right (that’s clockwise) will also are towards the right. This force is called the Magnus Effect.It helps the goalkeepers, because they see uniform curvature (曲度) when players are taking bending s hots at them. If they can pick up the spin right, it’s going to be the same amount of curvature, and they know where to put their hands. This is partly why players are much more likely to take bending shots during free kicks when goalkeepers can’t see thei r kicks quite as well because of the wall of defenders. If a ball isn’t spinning, it does something called knuckling, where the air turns the ball to one side in random directions, causing it to bounce in-the air unpredictably. “It’s usually achieved when a player manages a sharp, fast touch of the ball, typically right on the air valve where the ball is most firm.” say a Bush. Its lack of spin kept the goalkeeper from being able to predict where itwas going until it was too late. All the goalkeepers tremble before the kicker that can shoot this kind of soccer ball.1. What is the Magnus Effect according to the text?A.The force applied to a spinning ball. B.The theory proposed by John Bush.C.The direction opposite to a player’s strike.D.The goal scored with a bending ball.2. Why do soccer players prefer to take bending shots during free kicks?A.Because they can change the ball’s curvature.B.Because they can take bending shots more easily.C.Because they can get a cover from their team males.D.Because they can trick their way past the opposing defenders.3. Which shot might be the most predictable for goalkeepers?A.A free-kicks hot.B.A fast shot without spinning·C.A shot with a unique curvature.D.A bending shot without defensive blocking.4. What’s the writer’s purpose of writing this text?A.To explain how to score an arc ball goal.B.To uncover the secret of blocking a goal.C.To analyze the principle of a bending ball.D.To introduce a theory of applied mathematics.4. Aimed exclusi vely at Stanford’s information technology (IT) community, the Elimination of Harmful Language Initiative (EHLI) sought to address potentially “harmful language” on Stanford websites. The guide reportedly listed 10 categories of offensive languages: violent, person-first, institutionalized racism etc. Among the discouraged words and terms were “manpower” because it “strengthens male-dominated language;” “walk-in” because “walk” trivializes (轻视) people with disabilities; and “whitepaper” because white “assign s value connections based on color(white=good);” It also suggests not using the phrase “long time no see” because it “was originally used to mock (模仿,嘲弄) Indigenous pc op les and Chinese who spoke pidgin (混杂语) English” because it is seen as disrespectful as it radicalize s people of Asian origin as forever opposite‘others’.”Stanford recommended the alternatives “workforce” for “manpower,” “drop-in” for “walk-in,” “position paper” for “whitepaper,” “I haven’t seen you in so long!” for “long time no see”. It alsoincluded “American” because it implies “that the U.S. is the most important country in the Americas,” excluding dozens of other nations. The alternative offered was “U.S. citizen.”Dr. Jay Bhattacharya, a professor at Stanford School of Medicine, said in an interview with Fox News. “It doesn’t actually encourage respect for people. It just makes people think w has wrong with great universities like Stanford,”. The great anger has also been evident online. Amid the chorus of angry comments, Stanford chose to shut down the EHLI website. Chief Information Officer Steve Gallagher said the initiative actually sought to be more inclusive but admitted that they missed the mark. “The feedback was broadly viewed a so opposition to inclusivity. It is for this reason that we have taken down the EHLI site.” Gallagher said.1. Who was EHLI intended for?A.Teaching staff at Stanford.B.Students applying for Stanford.C.Hackers attacking Stanford’s websites.D.Netizens getting into Stanford’s IT community.2. Which of the expressions might be encouraged by EHLI?A.An African American. B.A person with COVID-19.C.A U.S. human resource manager. D.A victims hot dead on campus.3. What does the underlined phrase “missed the mark” mean?A.Start losing scores. B.Su cceed in one’s guess.C.Fail to achieve one’s goal.D.Have a bad, long-lasting effect.4. Why was the EHLI site taken down?A.Because it drew a lot of feedback. B.Because it damaged Stanford’s benefit.C.Because it was hard to put into practice. D.Because it went against its initialintention.5. What Are Great Books?There’s no end to the making of books. Nor does there seem to be any end to the making of lists of “great books”. 1 What I will mention may not be all there are, but they are the o nes I’ve found most useful in explaining my choices over the years.Great books are probably the most widely read.They’re not bestsellers for a year or two. They are lasting bestsellers. Gone With The Wind has had relatively few readers compared to the plays of Shakespeare. It would be reasonable to estimate that Homer’s Iliad has been read by at least 25,000,000 people in the last 3000 years. 2Great books arc popular, non-academic.They’re not written by specialists about speciaties. Whether they be phi losophy or science, or history or poetry, they treat of humans not academic problems. 3 But the great books can be considered elementary in the sense that they treat the elements of any subject matter. They’re not related to one another as a series of textbooks, graded in difficulty.4They have more ideas per page than most books have in their entirety. That is why you can read a great book over and over again and never exhaust its contents. They can be read at many different levels of understanding. Obvious examples are Gulliver’s Travels, Robinson Crusoe and Odyssey. Children can read them with enjoyment, but fail to find there in all the beauty and significance which delight an adult mind.Great books are the most instructive.Great books contain what cannot be found in other books. Whether you ultimately agree or disagree with what they say, these are the primary teachers of mankind. 5 It’s almost unnecessary to add that the great books are the most influential. In the tradition of learning, they have been most discussed by readers who have also been writers.6. For 6-year-old Junie, meeting a firefighter was a truly interactive experience. In a TikTok video posted by his mom, the little boy, who’s ______ , got to feel a firefighter’s entire uniform and equipment while asking the man questions.The clip opens with a shot of a firefighter going down on his ______ in front of a fire truck. Junie who “sees” with his hands, ______ all the equipment ______ to the uniform all over the fireman’s body while the fireman explains each item’s ______. In the on-screen text, Junie’s mom explains that “he knows what a ______ is and does, but this is his first time ‘seeing one,’ and now he has an idea of what firefighters ______ .”The fireman taking the time to help Junie understand how his ______ helps him do his job is a special act of ______ that the little boy will likely not soon forget. Viewers were definitely ______ up over the sweet video.“This is so sweet! This firefighter needs to be ______ for his amazing heart! This sweet child is discovering life in such a(n) ______ way,” one TikToker mentioned.“This is so beautiful!! Wife of a firefighter here, I know it made the firefighter’s day as ______ as it made the kid’s day,” shared one viewer.This video is an important ______ that everyone learns differently, using the faculties(官能) that are ______ to them.1.A.injured B.patient C.excited D.blind2.A.back B.knees C.feet D.stomach3.A.touches B.explores C.guides D.stretches4.A.fastened B.belonged C.adapted D.combined5.A.position B.component C.function D.structure6.A.fire-alarm B.viewer C.fireman D.TikToker7.A.focus on B.do with C.take up D.look like8.A.uniform B.items C.eyesight D.facilities9.A.gratitude B.kindness C.privilege D.fortune10.A.jumping B.moving C.blocking D.choking11.A.broadcast B.promoted C.enjoyed D.recognized12.A.strange B.fashionable C.distinct D.awkward13.A.long B.much C.well D.soon14.A.reminder B.lesson C.show D.example15.A.beneficial B.available C.superior D.junior7. 阅读下面材料,在空白处填入适当的内容(1个单词)或括号内单词的正确形式。

重庆市第一中学校2022-2023学年高二下学期3月月考数学试题

重庆市第一中学校2022-2023学年高二下学期3月月考数学试题

12023年重庆一中高2024届高二下学期3月月考数学试题卷一、单选题:本题共8小题,每小题5分,共40分.1. 若255C C n =,则n =( )A. 2B. 2或3C. 3D. 42. 已知一组样本数据1x ,2x ,3x ,4x ,5x 的平均数x 为2,则51(2)ii x =−=∑( )A. 0B. 2C. 2.5D. 13. 若()()()()112110121121111R x a a x a x a x x −=+−+−++−∈,,则01211a a a a ++++=( )A. 1B. 1131−C. 113D. 1131+4. 某校为了了解同学们参加社会实践活动的意向,决定利用分层抽样的方法从高一、高二、高三学生中选取200人进行调查,已知该校高一年级学生有1300人,高二年级学生有1200人,高三年级学生有1500人,则抽取的学生中,高三年级有( ) A. 50人B. 60人C. 65人D. 75人5. 已知正项数列{}n a 中,22111,1n n a a a +=−=,则数列11nn a a +⎧⎫⎨⎬+⎩⎭的前120项和为( )A. 4950B. 10C. 9D.149506. 某班级周三上午共有5节课,只能安排语文、数学、英语、体育和物理.数学必须安排,且连续上两节,但不能同时安排在第二三节,除数学外其他学科最多只能安排一节,体育不能安排在第一节,则不同的排课方式共有( ) A. 48种B. 60种C. 72种D. 96种7. 将甲、乙、丙、丁4名志愿者随机派往①,②,③三个社区进行核酸信息采集,每个社区至少派1名志愿者,事件A =“志愿者甲派往①社区”; 事件B= “志愿者乙派往①社区”; 事件C= “志愿者乙派往②社区”,则( ) A. 事件A 、B 同时发生的概率为19 B. 事件A 发生的条件下B 发生的概率为16C. 事件A 与B 相互独立D. 事件A 与C 为互斥事件8. 已知O 为坐标原点,P 是椭圆()2222:10x y E a b a b+=>>上位于x 轴上方的点,F 为右焦点.延长PO 、PF 交椭圆E 于Q 、R 两点,QF FR ⊥,4QF FR =,则椭圆E 的离心率为( )A.33B.22 C.53D.104的2二、多选题:本题共4小题,每小题5分,共20分.9. 某科技学校组织全体学生参加了主题为“创意之匠心,技能动天下”的文创大赛,随机抽取了400名学生进行成绩统计,发现抽取的学生的成绩都在50分至100分之间,进行适当分组后(每组的取值区间均为左闭右开),画出频率分布直方图(如图),下列说法正确的是( )A. 图中x 的值为0.020B. 在被抽取的学生中,成绩在区间[)70,80内的学生有60人C. 估计全校学生成绩的中位数约为87.7D. 估计全校学生成绩的众数为95 10. 对于函数()22ln xf x x=,下列说法正确的有( ) A. ()f x 的单调递减区间为()1,+∞ B. ()f x 在e x =1eC. ()f x 只有一个零点D. ()3πf f>11. 已知编号为1,2,3的三个盒子,其中1号盒子内装有两个1号球,一个2号球和一个3号球;2号盒子内装有两个1号球,一个3号球;3号盒子内装有三个1号球,两个2号球.若第一次先从1号盒子内随机抽取1个球,将取出的球放入与球同编号的盒子中,第二次从该盒子中任取一个球,则下列说法正确的是( ) A. 在第一次抽到2号球的条件下,第二次抽到1号球的概率为12 B. 第二次抽到3号球的概率为1148C. 如果第二次抽到的是3号球,则它来自1号盒子的概率最大D. 如果将5个不同的小球放入这三个盒子内,每个盒子至少放1个,则不同的放法有180种12. 冬春季节,人们容易感冒发热.若发生群体性发热,则会影响到人们的身体健康,干扰正常工作,有专业机构认为某地区在一段时间内没有发生大规模群体发热现象的标志为“连续10天,该地区每天新增疑似发热病例不超过7人”.下列连续10天疑似发热病例人数的统计特征数中,能判定该地没有发生群体性发热的为( ) A. 总体平均数为23 B. 总体平均数为4,总体方差为32C. 总体平均数为3,中位数为4D. 总体平均数为2,第65百分位数为5三、填空题:本题共4小题,每小题5分,共20分.13. 在nx x ⎛ ⎝的展开式中,第3项和第4项的二项式系数最大,则展开式中含2x 项的系数为_____.314. 透明袋子中装有黑球1个、白球3个,这些球除了颜色外无其他差别. 从袋子中随机摸出一个球,记下颜色后放回,将袋子中的球摇匀,再随机摸出一个球,记下颜色,求前后两次摸出的球都是白球的概率为___________. 15. 数论领域的四平方和定理最早由欧拉提出,后被拉格朗日等数学家证明.四平方和定理的内容是:任意正整数都可以表示为不超过四个自然数的平方和,例如正整数222222221231112220=+++=+++.设222236a b c d =+++,其中a b c d ,,,均为自然数,则满足条件的有序数组(),,,a b c d 的个数是___________.16. 已知数列{}n a 的前n 项和为n S ,满足3n n S k a =⋅−(k 是常数,1k >)10122a =,且23420222048a a a a ++++=,则23420221111a a a a ++++=___________.四、解答题:共70分.解答应写出文字说明、证明过程或演算步骤.17. (本小题满分10分)在一个选拔项目中,每个选手都需要进行4轮考核,每轮设有一个问题,能正确回答者进入下一轮考核,否则被淘汰.已知某选手能正确回答第一、二、三、四轮问题概率分别为56、45、34、13,且各轮问题能否正确回答互不影响.(Ⅰ)求该选手进入第三轮才被淘汰的概率; (Ⅱ)求该选手至多进入第三轮考核的概率;18. (本小题满分12分)在数列{}n a 中,*1111,20,N 3n n n n a a a a a n ++=+−=∈. (1)求证:1n a ⎧⎫⎨⎬⎩⎭是等差数列,并求数列{}n a 的通项公式; (2)满足不等式()*122311N 8k k a a a a a a k ++++<∈成立的k 的最大值.的419. (本小题满分12分)随机抽取100名男学生,测得他们的身高(单位:cm ),按照区间[)160165,,[)165170,,[)170175,,[)175,180,[]180,185分组,得到样本身高的频率分布直方图如图所示:(1)求身高在170cm 及以上的学生人数; (2)估计该校100名学生身高75%分位数.(3)据统计,身高在[)170175,,[)175,180,[]180,185时,体重超过70kg 的概率分别为16、13、12.现在从身高在[170,185]的学生中任选一个学生,估计其体重超过70kg 的概率.20. (本小题满分12分) 在二项式4)2n x x的展开式中,前三项的系数依次为M ,P ,N ,且满足2P M N =+.(1)若直线l :0ax by c的系数a ,b ,c (a b c >>)为展开式中所有无理项系数,求不同直线l 的条数;(2)求展开式中系数最大的项.21. (本小题满分12分) 已知C :22221x y a b+=7,离心率为12,过椭圆左焦点F 作不与x 轴重合的直线与椭圆C 相交于M 、N 两点,直线m 的方程为:2x a =−,过点M 作ME 垂直于直线m 交直线m 于点E .(1)求椭圆C 标准方程:(2)①若线段EN 必过定点P ,求定点P 的坐标; ②点O 为坐标原点,求OEN 面积的最大值.22. (本小题满分12分) 已知函数()xf x xe =(其中e 为自然对数的底数).(1)求函数()f x 的最小值;(2)求证:()1ln 2xf x e x >+−.的5。

2021届重庆市第一中学校高三上学期第三次月考数学试题(解析版)

2021届重庆市第一中学校高三上学期第三次月考数学试题(解析版)

2021届重庆市第一中学校高三上学期第三次月考数学试题一、单选题1.复数z 满足21iz i=-,则复数z 的虚部为()A .﹣1B .1C .iD .﹣i【答案】B【分析】利用复数的除法运算化简211ii i=-+-,再利用复数的代数形式求出结果.【详解】解:∵()()()()2121211112i i i i i z i i i i ++====-+--+,则复数z 的虚部为1.故选:B .【点睛】本题考查复数的除法运算.复数的除法运算关键是分母“实数化”,其一般步骤如下:(1)分子、分母同时乘分母的共轭复数;(2)对分子、分母分别进行乘法运算;(3)整理、化简成实部、虚部分开的标准形式.2.已知集合{}22,A xx x Z =<∈∣,则A 的真子集共有()个A .3B .4C .6D .7【答案】D【分析】写出集合{1,0,1}A =-,即可确定真子集的个数.【详解】因为{}22,{1,0,1}A xx x Z =<∈=-∣,所以其真子集个数为3217-=.故选:D.【点睛】本题考查集合的真子集个数问题,属于简单题.3.已知某圆锥的母线长为4,底面圆的半径为2,则圆锥的全面积为()A .10πB .12πC .14πD .16π【答案】B【分析】首先求得底面周长,即侧面展开图的扇形弧长,然后根据扇形的面积公式即可求得侧面积,即圆锥的侧面积,再求得圆锥的底面积,侧面积与底面积的和就是全面积.【详解】底面周长是:2×2π=4π,则侧面积是:14π48π2⨯⨯=,底面积是:π×22=4π,则全面积是:8π+4π=12π.故选B .【点睛】本题考查了圆锥的全面积计算,正确理解圆锥的侧面展开图与原来的扇形之间的关系是解决本题的关键,理解圆锥的母线长是扇形的半径,圆锥的底面圆周长是扇形的弧长.4.为了衡量星星的明暗程度,古希腊天文学家喜帕恰斯在公元前二世纪首先提出了星等这个概念.星等的数值越小,星星就越亮;星等的数值越大它的光就越暗.到了1850年,由于光度计在天体光度测量的应用,英国天文学家普森又提出了亮度的概念,天体的明暗程度可以用星等或亮度来描述.两颗星的星等与亮度满足()12212.5lg lg m m E E -=-,其中星等为k m 的星的亮度为(1,2)k E k =.已知“心宿二”的星等是1.00,“天津四”的星等是1.25,则“心宿二”的亮度大约是“天津四”的()倍.(当||x 较小时,2101 2.3 2.7x x x ≈++)A .1.27B .1.26C .1.23D .1.22【答案】B【分析】把已知数据代入公式计算12E E .【详解】由题意211 1.25 2.5(lg lg )E E -=-,12lg0.1E E =,∴0.1212101 2.30.1 2.70.1 1.257 1.26E E =≈+⨯+⨯=≈.故选:B .【点睛】本题考查数学新文化,考查阅读理解能力.解题关键是在新环境中抽象出数学知识,用数学的思想解决问题.5.向量,a b 满足||1a = ,a 与b 的夹角为3π,则||a b - 的取值范围为()A .[1,)+∞B .[0,)+∞C .1,2⎡⎫+∞⎪⎢⎣⎭D .3,2⎫+∞⎪⎢⎪⎣⎭【答案】D【分析】把||a b -用数量积表示后结合函数的性质得出结论.【详解】22222||()2121cos 3a b a b a a b b b b π-=-=-⋅+=-⨯⨯+ 21b b -+= 2134423b ⎛⎫=+≥⎪⎝⎭- ,所以3||2a b -≥ .1||2b = 时取得最小值.故选:D .【点睛】本题考查平面向量的模,解题关键是把模用向量的数量积表示,然后结合二次函数性质得出结论.6.已知三棱锥P ABC -,过点P 作PO ⊥面,ABC O 为ABC ∆中的一点,,PA PB PB PC ⊥⊥,PC PA ⊥,则点O 为ABC ∆的()A .内心B .外心C .重心D .垂心【答案】D【分析】连接AO 并延长交BC 于一点E ,连接PO ,由于PA ,PB ,PC 两两垂直可以得到PA ⊥面PBC ,而BC ⊂面PBC ,可得BC ⊥PA ,由PO ⊥平面ABC 于O ,BC ⊂面ABC ,PO ⊥BC ,可得BC ⊥AE ,同理可以证明CO ⊥AB ,又BO ⊥AC .故O 是△ABC 的垂心.【详解】连接AO 并延长交BC 于一点E ,连接PO ,由于PA ,PB ,PC 两两垂直可以得到PA ⊥面PBC ,而BC ⊂面PBC ,∴BC ⊥PA ,∵PO ⊥平面ABC 于O ,BC ⊂面ABC ,∴PO ⊥BC ,∴BC ⊥平面APE ,∵AE ⊂面APE ,∴BC ⊥AE ;同理可以证明CO ⊥AB ,又BO ⊥AC .∴O 是△ABC 的垂心.故选D .【点睛】本题主要考查了直线与平面垂直的性质,解题时要注意数形结合,属于基本知识的考查.7.设sin5a π=,b =,2314c ⎛⎫= ⎪⎝⎭,则()A .a c b <<B .b a c <<C .c a b<<D .c b a<<【答案】C【分析】借助中间量1和12比较大小即可.【详解】解:由对数函数y x =在()0,∞+单调递增的性质得:1b =>=,由指数函数12xy ⎛⎫= ⎪⎝⎭在R 单调递减的性质得:2413311142212c ⎛⎫⎛⎫⎛⎫= ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭=<=,由三角函数sin y x =在0,2π⎛⎫ ⎪⎝⎭上单调递增的性质得1sin sin 562a ππ=>=.所以c ab <<.故选:C.【点睛】本题考查利用函数的单调性比较大小,考查运算能力,化归转化思想,是中档题.本题解题的关键在于借助中间量1和12,尤其在比较a 与c 的大小时,将c 变形得24331142c ⎛⎫⎛⎫= ⎪ =⎪⎝⎭⎝⎭,进而与12比较大小是重中之核心步骤.8.已知三棱锥P ABC -的四个顶点均在同一个确定的球面上,且BA BC ==,2ABC π∠=,若三棱锥P ABC -体积的最大值为3,则其外接球的半径为()A .2B .3C .4D .5【答案】A【分析】由题意分析知三棱锥P ABC -体积的最大时,P ,O ,O '共线且O P '⊥面ABC ,P 在大于半球的的球面上,根据棱锥体积公式求得||O P ',进而应用勾股定理求外接球的半径.【详解】由题意知:AC 中点O '为面ABC 外接圆圆心,若外接球球心为O ,半径为R ,三棱锥P ABC -体积的最大时,P ,O ,O '共线且O 在P ,O '之间,∴1||33P ABC ABC V S O P -'=⋅⋅= ,1||||32ABC S BA BC =⋅⋅= ,即||3O P '=,||||32AC O C '==,所以()22222'|||'|33O C OC OO R R =-=--=,解得2R =,故选:A【点睛】关键点点睛:理解三棱锥P ABC -体积的最大时P 的位置及与球心、底面外接圆圆心的关系,结合棱锥体积公式、勾股定理求球体半径.二、多选题9.设m 、n 是两条不同的直线,α、β是两个不同的平面,下列命题中错误..的是()A .若,,//m n m n αβ⊂⊂,则//αβB .若,m n m α⊂⊥,则n α⊥C .若,m n αα^Ì,则m n ⊥D .若//,,m n αβαβ⊂⊂,则//m n【答案】ABD【分析】根据空间线、面关系,结合空间关系相关图例以及线线、线面、面面间的平行、垂直判定与性质,即可知选项的正误.【详解】A :,,//m n m n αβ⊂⊂,α、β不一定平行,错误.B :,m n m α⊂⊥,n 不一定垂直于α,错误.C :由线面垂直的性质:,m n αα^Ì,则必有m n ⊥,正确.D ://,,m n αβαβ⊂⊂,m 、n 不一定平行,错误.故选:ABD10.下列函数中,在(0,1)内是减函数的是()A .||12x y ⎛⎫= ⎪⎝⎭B .212log y x =C .121=+y x D .2log sin y x=【答案】ABC【分析】根据复合函数的单调性判断确定选项中各函数是否为减函数即可.【详解】A :1(2t y =为减函数,||t x =在(0,1)上为增函数,所以||12x y ⎛⎫= ⎪⎝⎭为减函数;B :12log y t =为减函数,2t x =在(0,1)上为增函数,所以212log y x =为减函数;C :1y t =为减函数,21t x =+在(0,1)上为增函数,所以121=+y x 为减函数;D :2log y t =为增函数,sin t x =在(0,1)上为增函数,所以2log sin y x =为增函数;故选:ABC【点睛】结论点睛:对于复合函数的单调性有如下结论1、内外层函数同增或同减为增函数;2、内外层函数一增一减为减函数;11.下列关于函数1()2sin 26f x x π⎛⎫=+⎪⎝⎭的图像或性质的说法中,正确的为()A .函数()f x 的图像关于直线83x π=对称B .将函数()f x 的图像向右平移3π个单位所得图像的函数为12sin 23y x π⎛⎫=+ ⎪⎝⎭C .函数()f x 在区间5,33ππ⎛⎫-⎪⎝⎭上单调递增D .若()f x a =,则1cos 232a x π⎛⎫-=⎪⎝⎭【答案】AD 【分析】令1262x k πππ+=+得到对称轴,即可判断A ;根据平移变换知识可判断B ;求出其单调增区间即可判断C ;利用配角法即可判断D.【详解】对于A ,令1262x k πππ+=+()k ∈Z ,解得22()3x k k Z ππ=+∈,当1k =时,得83x π=,故A 正确;对于B ,将函数()f x 的图像向右平移3π个单位,得112sin[()]2sin 2362y x x ππ=-+=,故B 错误;对于C ,令122()2262k x k k Z πππππ-+<+<+∈4244()33k x k k Z ππππ⇒-+<<+∈,故C 错误;对于D ,若12sin()26x a π+=,则11cos()sin[()]23223x x πππ-=+-=1sin()262ax π+=,故D 正确.故选:AD【点睛】方法点睛:函数()sin (0,0)y A x B A ωϕω=++>>的性质:(1)max min =+y A B y A B =-,.(2)周期2π.T ω=(3)由()ππ2x k k +=+∈Z ωϕ求对称轴(4)由()ππ2π2π22k x k k -+≤+≤+∈Z ωϕ求增区间;由()π3π2π2π22k x k k +≤+≤+∈Z ωϕ求减区间.12.定义在(0,)+∞上的函数()f x 的导函数为()'f x ,且()()f x f x x'<,则对任意1x 、2(0,)x ∈+∞,其中12x x ≠,则下列不等式中一定成立的有()A .()()()1212f x x f x f x +<+B .()()()()21121212x xf x f x f x f x x x +<+C .()1122(1)x x f f <D .()()()1212f x x f x f x <【答案】ABC【分析】构造()()f x g x x=,由()()f x f x x '<有()0g x '<,即()g x 在(0,)+∞上单调递减,根据各选项的不等式,结合()g x 的单调性即可判断正误.【详解】由()()f x f x x '<知:()()0xf x f x x'-<,令()()f x g x x =,则()()()20xf x f x g x x '-='<,∴()g x 在(0,)+∞上单调递减,即122112121212()()()()()g x g x x f x x f x x x x x x x --=<--当120x x ->时,2112()()x f x x f x <;当120x x -<时,2112()()x f x x f x >;A :121()()g x x g x +<,122()()g x x g x +<有112112()()x f x x f x x x +<+,212212()()x f x x f x x x +<+,所以()()()1212f x x f x f x +<+;B:由上得21121212()()()()x f x x x x f x x x -<-成立,整理有()()()()21121212x xf x f x f x f x x x +<+;C :由121x >,所以111(2)(1)(2)(1)21x x x f f g g =<=,整理得()1122(1)x x f f <;D :令121=x x 且121x x >>时,211x x =,12111()()()()g x g x f x f x =,12()(1)(1)g x x g f ==,有121()()g x x g x >,122()()g x x g x <,所以无法确定1212(),()()g x x g x g x 的大小.故选:ABC【点睛】思路点睛:由()()f x f x x '<形式得到()()0xf x f x x'-<,1、构造函数:()()f x g x x =,即()()()xf x f x g x x'-'=.2、确定单调性:由已知()0g x '<,即可知()g x 在(0,)+∞上单调递减.3、结合()g x 单调性,转化变形选项中的函数不等式,证明是否成立.三、填空题13.若一个球的体积为323π,则该球的表面积为_________.【答案】16π【解析】由题意,根据球的体积公式343V R π=,则343233R ππ=,解得2R =,又根据球的表面积公式24S R π=,所以该球的表面积为24216S ππ=⋅=.14.设向量a ,b 不平行,向量a b λ+ 与2a b + 平行,则实数λ=_________.【答案】12【解析】因为向量a b λ+ 与2a b + 平行,所以2a b k a b λ+=+ (),则{12,k k λ==,所以12λ=.【解析】向量共线.15.一般把数字出现的规律满足如图的模型称为蛇形模型:数字1出现在第1行;数字2,3出现在第2行;数字6,5,4(从左至右)出现在第3行;数字7,8,9,10出现在第4行,依此类推,则第21行从左至右的第4个数字应是____________.【答案】228【分析】由题知,第n 行有n 个数字,奇数行从右至左由小变大,偶数行从左至右由小变大,则前20行共有20(120)123202102+++++==L 个数字,第21行最左端的数为21021231+=,从左到右第4个数字为228.【详解】观察数据可知,第n 行有n 个数字,奇数行从右至左由小变大,偶数行从左至右由小变大,则前20行共有20(120)123202102+++++==L 个数字,第21行最左端的数为21021231+=,所以第21行从左到右第4个数字为228.故答案为:228.【点睛】关键点睛:本题考查合情推理、数列的前n 项和,解题关键要善于观察发现数据特征,考查了学生的逻辑思维能力、数据处理能力、运算求解能力,综合性较强,属于较难题型.四、双空题16.已知等比数列{}n a 的公比为q ,且101a <<,20201a =,则q 的取值范围为______;能使不等式12121110m m a a a a a a ⎛⎫⎛⎫⎛⎫-+-++-≤ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭ 成立的最大正整数m =______.【答案】(1,)+∞4039【分析】根据已知求得1a 的表达式,由此求得q 的取值范围.根据12121110m m a a a a a a ⎛⎫⎛⎫⎛⎫-+-++-≤ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭ 成立列不等式,化简求得m 的取值范围,从而求得最大正整数m .【详解】由已知201911201911a qa q =⇒=,结合101a <<知2019101q <<,解得1q >,故q 的取值范围为(1,)+∞.由于{}n a 是等比数列,所以1n a ⎧⎫⎨⎬⎩⎭是首项为11a ,公比为1q 的等比数列.要使12121110m m a a a a a a ⎛⎫⎛⎫⎛⎫-+-++-≤ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭ 成立则1212111m ma a a a a a +++≤+++ 即()111111111m m a q a q q q⎛⎫-⎪-⎝⎭≤--,将120191a q=代入整理得:40394039m q q m ≤⇒≤故最大正整数4039m =.故答案为:(1,)+∞;4039【点睛】本小题主要考查等比数列的性质,考查等比数列前n 项和公式,属于中档题.五、解答题17.在四棱柱1111ABCD A B C D -中,底面ABCD 是等腰梯形,M 是线段AB 的中点,1160,22,2,DAB AB CD DD C M ∠=︒====(1)求证:1//C M 平面11A ADD ;(2)求异面直线 CM 与1DD 所成角的余弦值.【答案】(1)证明见解析;(2)14.【分析】(1)易得1111//,C D MA C D MA =,则四边形11AMC D 为平行四边形,得到11//C M D A ,再利用线面平行的判定定理证明.(2)由//CM DA ,将异面直线CM 与1DD 成的角,转化为 DA 与1DD 相交所成的角,然后在1ADD ,利用余弦定理求解.【详解】(1)因为四边形ABCD 是等腰梯形,且2AB CD =,所以//AB DC .又由M 是AB 的中点,因此//CD MA 且CD MA =.如图所示:连接1AD ,在四棱柱1111ABCD A B C D -中,因为1111//,CD C D CD C D =,可得1111//,C D MA C D MA =,所以四边形11AMC D 为平行四边形.因此11//C M D A ,又1C M ⊄平面11A ADD ,1D A ⊂平面11A ADD ,所以1//C M 平面11A ADD .(2)因为//CM DA ,所以异面直线CM 与1DD 成的角,即为 DA 与1DD 相交所成的直角或锐角,在1ADD中,1C M =,所以111,2AD AD DD ===,由余弦定理可得:22211111cos 24AD DD AD ADD AD DD +-∠==-⋅,所以异面直线CM 和1DD 余弦值为14.【点睛】方法点睛:判断或证明线面平行的常用方法:(1)利用线面平行的定义,一般用反证法;(2)利用线面平行的判定定理(a ⊄α,b ⊂α,a ∥b ⇒a ∥α),其关键是在平面内找(或作)一条直线与已知直线平行,证明时注意用符号语言的叙述;(3)利用面面平行的性质定理(α∥β,a ⊂α⇒a ∥β);(4)利用面面平行的性质(α∥β,a ⊄β,a ∥α⇒a ∥β).18.已知数列{}n a 满足:13a =,且对任意的n *∈N ,都有1,1,n n a a +成等差数列.(1)证明数列{}1n a -等比数列;(2)已知数列{}n b 前n 和为n S ,条件①:()1(21)n n b a n =-+,条件②:11n n n b a +=-,请在条件①②中仅选择一个条件作为已知条件.............来求数列{}n b 前n 和n S .【答案】(1)证明见解析;(2)答案不唯一,具体见解析.【分析】(1)由条件得121n n a a +=-,利用等比数列定义可得证.(2)选条件①得(21)2nn b n =+,选条件②得1(1)()2nn b n =+⋅利用错位相减法可得解.【详解】(1)由条件可知112n n a a ++=,即121n n a a +=-,∴()1121n n a a +-=-,且112a -=∴{}1n a -是以112a -=为首项,2q =为公比的等比数列,∴12nn a -=,∴()21nn a n N*=+∈(2)条件①:()1(21)(21)2nn n b a n n =-+=+,123325272(21)2nn S n =⋅+⋅+⋅+++⋅ 23412325272(21)2n n S n +=⋅+⋅+⋅+++⋅利用错位相减法:123413222222222(21)2nn n S n +-=⋅+⋅+⋅+⋅++⋅+⋅- 118(12)6(21)212n n n S n -+--=++⋅--化简得()12(21)2n n S n n N +*=-+∈条件②:11(1)()12nn n n b n a +==+⋅-231111234(1)2222n nS n =⋅+⋅+⋅+++⋅ 234111111234(1)22222n n S n +=⋅+⋅+⋅+++⋅ 利用错位相减法:23411111111(1)222222n n n S n +=++++-+⋅ 1111[1()]11421(1)12212n n n S n -+-=+-+⋅-化简得()13(3)(2n n s n n N *=-+∈【点睛】错位相减法求和的方法:如果数列{}n a 是等差数列,{}n b 是等比数列,求数列{}n n a b 的前n 项和时,可采用错位相减法,一般是和式两边同乘以等比数列{}n b 的公比,然后作差求解;在写“n S ”与“n qS ”的表达式时应特别注意将两式“错项对齐”以便下一步准确写出“n n S qS -”的表达式19.已知椭圆C 的两个焦点分别为12(1,0),(1,0)F F -,短轴的两个端点分别为12,B B .且122B B =.(1)求椭圆C 的标准方程;(2)过点2F 的直线l 与椭圆C 相交于P ,Q 两点,且11F P FQ ⊥ ,求直线l 的方程.【答案】(1)2212x y +=;(2)10x +-=,或10x -=.【分析】(1)由题干条件可得c 和b 的值,进而求出2a 的值,从而求出椭圆方程;(2)首先考虑斜率不存在的情况,不符合题意;当斜率存在时,联立方程,可得()22121222214,2121k k x x x x k k -+=⋅=++,又110F P FQ ⋅= ,向量坐标化可得()()()2221212111110k x x k x x k F P FQ ⋅--==++++uuu r uuu r ,代入1212,x x x x +⋅,化简,即可求出k 的取值,从而求出直线方程.【详解】解(1)由条件可知:1c =,又122B B =,所以1b =,则22a =,所以椭圆C 的方程为2212x y +=(2)当直线l 的斜率不存在时,其方程为1x =,不符合题意;当直线l 的斜率存在时,设直线l 的方程为(1)y k x =-,22(1)12y k x x y =-⎧⎪⎨+=⎪⎩得()()2222214210k x k x k +-+-=,()2810k ∆=+>,设()()1122,,,P x y Q x y ,则()22121222214,2121k k x x x x k k -+=⋅=++,()()1111221,,1,F P x y F Q x y =+=+ ,∵110F P FQ ⋅= ,即()()()()()22212121212111110x x y y k x x k x x k +++=+--+++=,即()()()222222221411()102121k k kk k k k -+--++=++化简得:2201172k k =+-解得217,77k k ==±.故直线l的方程为10x +-=,或10x --=.【点睛】方法点睛:(1)将向量转化为坐标的关系;(2)联立直线和椭圆,求出两根之和,两根之积;(3)将两根之和和两根之积代入坐标关系中,解出k .20.已知()cossin 222x x x f x ⎛⎫=+ ⎪⎝⎭,记ABC 的内角,,A B C 的对边分别为,,a b c .(1)求()f B 的取值范围;(2)当4a =,433b =,且()f B 取(1)中的最大值时,求ABC 的面积.【答案】(1)30,12⎛+ ⎝⎦;(2)833或433【分析】(1)利用公式对函数化简,根据B 角的范围,求函数值域.(2)由(1)求出B 的大小,利用正弦定理和三角形面积公式即可求出结果.【详解】(1)2()cossin sin cos 222222x x x x x x f x ⎛⎫=+=+ ⎪⎝⎭13(cos 1)3sin sin 2232x x x π+⎛⎫=+=++ ⎪⎝⎭因为B 为三角形的内角,所以(0,)B π∈所以4,333B πππ⎛⎫+∈ ⎪⎝⎭,所以3()0,12f B ⎛∈+ ⎝⎦(2)34()11,,23333f B B B ππππ⎛⎫⎛⎫=++=+∈ ⎪ ⎝⎭⎝⎭,,326B B πππ∴+==,由正弦定理得:4343sin 1sin sin sin 22a b A A B A =⇒=⇒=()0,,3A A ππ∈∴=,或23A π=,若3A π=,则2C π=,183sin 23ABC S ab C ==若23π=A ,则6π=C,1sin 23==ABC S ab C 【点睛】本题考查了三角恒等变换、正弦定理和三角形面积公式等基本数学知识,考查了数学运算能力和逻辑推理能力,属于中档题目.21.在直三棱柱111ABC A B C -中,112,120,,AB AC AA BAC D D ==∠=分别是线段11,BC B C 的中点,过线段AD 的中点P 作BC 的平行线,分别交,AB AC 于点,M N .(1)证明:平面1A MN ⊥平面11ADD A ;(2)求二面角1A A M N --的余弦值.【答案】(1)证明见解析;(2)155.【分析】(1)根据线面垂直的判定定理即可证明MN ⊥平面ADD 1A 1;又MN ⊂平面A 1MN ,所以平面A 1MN ⊥平面ADD 1A 1;(2)建立空间坐标系,利用向量法求出平面的法向量,利用向量法进行求解即可.【详解】(1)证明:∵AB=AC ,D 是BC 的中点,∴BC ⊥AD ,∵M ,N 分别为AB ,AC 的中点,∴MN ∥BC ,∴MN ⊥AD ,∵AA 1⊥平面ABC,MN ⊂平面ABC ,∴AA 1⊥MN ,∵AD,AA 1⊂平面ADD 1A 1,且AD∩AA 1=A ,∴MN ⊥平面ADD 1A 1∴,又MN ⊂平面A 1MN ,所以平面A 1MN ⊥平面ADD 1A 1;(2)设AA 1=1,如图:过A 1作A 1E ∥BC ,建立以A 1为坐标原点,A 1E ,A 1D 1,A 1A 分别为x ,y ,z 轴的空间直角坐标系如图:则A 1(0,0,0),A(0,0,1),∵P 是AD 的中点,∴M ,N 分别为AB ,AC 的中点.则31,,122M ⎛⎫ ⎪ ⎪⎝⎭,31,,122N ⎛⎫- ⎪ ⎪⎝⎭,则131,,122A M ⎛⎫= ⎪ ⎪⎝⎭,()10,0,1A A =,)NM = ,设平面AA 1M 的法向量为(),,m x y z=,则100m AM m A A ⎧⋅=⎪⎨⋅=⎪⎩,得10220x y z z ++=⎨⎪=⎩,令1x =,则y =,则()1,m =,同理设平面A 1MN 的法向量为(),,n x y z=,则100n A M n NM ⎧⋅=⎨⋅=⎩,得310220x y z ++=⎪⎨⎪=⎩,令2y =,则1z =-,则()0,2,1n =-,则()15cos ,5m n m n m n ⋅===-⋅,∵二面角A-A 1M-N 是锐二面角,∴二面角A-A 1M-N 的余弦值是155.【点睛】本题主要考查直线垂直的判定以及二面角的求解,建立空间直角坐标系,利用向量法进行求解,综合性较强,运算量较大.22.已知21()(1)2xf x e ax b x =---.其中常数 2.71828e ≈⋅⋅⋅⋅⋅⋅.(1)当2,4a b ==时,求()f x 在[1,2]上的最大值;(2)若对任意0,()a f x >均有两个极值点()1212,x x x x <,(ⅰ)求实数b 的取值范围;(ⅱ)当a e =时,证明:()()12f x f x e +>.【答案】(1)max ()1f x e =-;(2)(ⅰ)1b >;(ⅱ)证明见解析.【分析】(1)由题得2()4(1)x f x e x x =---,()24x f x e x '=--,()2x f x e ''=-,由[1,2]x ∈,可得()0f x ''>,即()'f x 在[1,2]上单增,且2(2)80f e -'=<,即()0f x '<,可知()f x 在[1,2]上单减,求得max ()(1)1f x f e ==-.(2)(ⅰ)利用两次求导可得(,ln )x a ∈-∞时,()'f x 单减;(ln ,)x a ∈+∞时,()'f x 单增,再由()f x 有两个极值点,知(ln )ln 0f a a a a b =--<',即ln b a a a >-恒成立,构造函数()ln g a a a a =-,利用导数求其最大值,可得实数b 的取值范围;(ⅱ)设()()(2),(1)h x f x f x x ''=--<,求导可得()h x 在(,1)-∞单增,得到()(2)f x f x ''<-,可得()()112f x f x ''<-,()()122f x f x ''->,结合()'f x 在(1,)+∞上单增,可得()()122f x f x >-,得到()()()()2222122222222x x f x f x f x f x e e ex ex e -+>-+=+-+-,构造22()22x x M x e e ex ex e -=+-+-,(1)x >,再利用导数证明()2(1)M x M e >=,即可得到()()12f x f x e+>【详解】(1)由2,4a b ==得,2()4(1)x f x e x x =---,求导()24x f x e x '=--,()2x f x e ''=-,[1,2]x ∈ ,2[,]x e e e ∴∈,20x e ∴->,即()0f x ''>()f x '∴在[1,2]上单增,且2(2)80f e -'=<,即[1,2]x ∀∈,()0f x '<,()f x ∴在[1,2]上单减,max ()(1)1f x f e ∴==-.(2)(ⅰ)求导()x f x e ax b '=--,因为对任意0,()a f x >均有两个极值点12,x x ,所以()0f x '=有两个根,求二阶导()x f x e a ''=-,令()0f x ''=,得ln x a=当(,ln )x a ∈-∞时,()0f x ''<,()'f x 单减;当(ln ,)x a ∈+∞时,()0f x ''>,()'f x 单增,由()0f x '=有两个根12,x x ,知(ln )ln 0f a a a a b =--<',即ln b a a a >-对任意0a >都成立,设()ln g a a a a =-,求导()ln g a a '=-,令()0g a '=,得1a =,当(0,1)x ∈时,()0g a '>,()g a 单增;当(1,)x ∈+∞时,()0g a '<,()g a 单减,max (()1)1g g a =∴=,1b ∴>又0,,()ba b f e x f x a -⎛⎫''-=>→+∞→+∞ ⎪⎝⎭Q ,所以实数b 的取值范围是:1b >.(ⅱ)当a e =时,()x f x e ex b '=--,()x f x e e ''=-,令()0f x ''=,得1x =当(,1)x ∈-∞时,()0f x ''<,()'f x 单减;当(1,)x ∈+∞时,()0f x ''>,()'f x 单增,又12,x x 是()0f x '=的两根,且12x x <,121,1x x <∴>,121x ∴->设()()(2),(1)h x f x f x x ''=--<,即22(2)2()2,(1)xxx xe ex b ee x b e e ex e x h x --⎡⎤=-=-------+<⎣⎦,则2()2220x x h x e e e e e -=+->-='()h x ∴在(,1)-∞单增,()(1)0h x h ∴<=,即()(2)f x f x ''<-又11,x <,()()112f x f x ''∴<-,()()122f x f x ''∴->又()f x ' 在(1,)+∞上单增,122x x ∴->,即1222x x x <-<,又()f x 在()12,x x 上单减,()()122f x f x ∴>-()()()()2222122222222x x f x f x f x f x e e ex ex e-∴+>-+=+-+-令22()22x x M x e e ex ex e -=+-+-,(1)x >则2()22x x M x e e ex e -'=--+,2()20x x M x e e e -''=+-≥()M x '∴在(1,)+∞单增,且(1)0M '=,()0M x '∴>,故()M x 在(1,)+∞单增又21x > ,()2(1)M x M e ∴>=,即()()12f x f x e+>【点睛】方法点睛:本题考查利用导数研究函数的单调性,求极值,最值,以及证明不等式,证明不等式的方法:若证明()()f x g x <,(,)x a b ∈,可以构造函数()()()F x f x g x =-,如果()0F x '<,则()F x 在(,)a b 上是减函数,同时若()0F a ≤,由减函数的定义可知(,)x a b ∈时,有()0F x <,即证明了()()f x g x <,考查学生的函数与方程思想,化归与转化思想,考查逻辑思维能力与推理论证能力,属于难题.。

2023届重庆第一中学高三英语第一学期期末学业水平测试试题含解析

2023届重庆第一中学高三英语第一学期期末学业水平测试试题含解析

2022-2023高三上英语期末模拟试卷请考生注意:1.请用2B铅笔将选择题答案涂填在答题纸相应位置上,请用0.5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

写在试题卷、草稿纸上均无效。

2.答题前,认真阅读答题纸上的《注意事项》,按规定答题。

第一部分(共20小题,每小题1.5分,满分30分)1.A heavy sandstorm is going to envelop our city. It is unwise to have yourcar .A.wash B.washedC.washing D.to wash2.— I got that job I wanted at the public library.—___________! That’s good news.A.Go ahead B.Cheers C.Congratulations D.Come on3.—Penny’s baby daughter narrowly escaped drinking the furniture polish on the coffee table.—Luckily for her. She ________ sick or even died.A.could have got B.should have gotC.must have got D.will have got4.The Japanese people keep up cheerful spirits ________ the world that they can get over the crisis caused by the terrible tsunami(海啸).A.being convinced B.convinced C.to convince D.having convinced5.____ interested in English may join this club.A.Whoever B.All who C.Anyone D.Who 6.Obviously,a good habit help us to speed up to reach our destinations. A.need B.must C.can D.shall7.—Uncle Wang is in hospital.—Oh, really? I ____________. I _____________ go and visit her.A.didn’t know; am going to B.hadn’t known; wouldC.haven’t known; will D.didn’t know; will8.Much to their delight, their new project _____ at the conference, the excited scholars decided to have a barbecue in honour of the fantastic moment.A.to approve B.being approvedC.having approved D.having been approved9.— I am worn out. —Me too, all work and no play. So it’s ti me to ________. A.burn the midnight oil B.push the limitsC.go with the flow D.call it a day10._____ how to get along with others is very important in success.A.Know B.Known C.Having known D.Knowing11.— You've got your flat furnished, haven't you?— Y es, I ______ some used furniture and it was a real bargain.A.will buy B.have boughtC.had bought D.bought12.Because of the heavy snow, we had to delay the visit until this weekend to the artgallery ____ in the center of our city these days.A.being held B.holding C.to be held D.held13.“It might have saved me a lot of money”, Mr. Chen sighed, “________ timely from the stock market this July”.A.did I withdraw B.should I withdrawC.have I withdrawn D.had I withdrawn14.The shocking news made me realize ______ terrible problems we would face.A. that B.how C.what D.why15.—I’d rather have some wine, if you don’t mind.—______. Don’ t forget that you’ll drive.A.By all means B.Anything but thatC.Take it easy D.I wouldn’t say no to this16.— I wonder what chance there is of me passing by the old places without thinking of you.— ______. Time cures all wounds.A.My pleasure B.Don’t mention it C.I can’t agree more D.Never mind 17.Mr. Zhang gave all textbooks to all the pupils, except ____________ who had already taken them.A.these B.onesC.those D.the others18.—The lecture about 3D technology was very interesting.—It’s a pity. How I wish I ________ time to attend it.A.had B.have C.had had D.have had19.Throughout history, China never colonized any nation. _________ this peaceful tradition, it is committed to building a community with a shared future for mankind. A.In line with B.In regard toC.In harmony with D.In addition to20.The case shocked the public, a hot debate over human nature on theIntemet.A.causes B.caused C.causing D.to cause第二部分阅读理解(满分40分)阅读下列短文,从每题所给的A、B、C、D四个选项中,选出最佳选项。

重庆市凤鸣山中学2020届高三上学期第一次月考英语试卷

英语试题注意事项:1.答卷前,考生务必将自己的姓名、准考证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,用铅笔把答题卡上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。

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5段对话。

每段对话后有一个小题,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.What does the woman mean?A.The man can also get birthday presents.B. Jack is looking forward to his birthday.C.She will buy a new T-shirt for Jack.2. When will the two speakers probably arrive at the airport?A.At 2:30B.At 3:30C.At 4:303. How does the woman feel now?A. Stressed.B. Shocked.C.Exhausted.4. What did the man do?A. He moved to a new place.B. He took a good trip.C. He sold some souvenirs.5. What’s the relationship between the woman and Ted?A. Colleagues.B. Cousins.C. Classmates.第二节(共15小题,每小题1.5分,满分22.5分)听第6段材料,回答第6、7题。

重庆市第一中学2023-2024学年高三下学期2月月考英语试卷

重庆市第一中学2023-2024学年高三下学期2月月考英语试卷一、听力选择题1.What will the woman do first?A.Go shopping.B.Go back home.C.Go swimming.2.Who is the man’s hero?A.Steve Jobs.B.Stephen Hawking.C.Tim Berners-Lee.3.What time does the train leave for Darlington?A.At 2:00 p.m.B.At 6:00 p.m.C.At 7:00 p.m.4.Where does the conversation probably take place?A.In a library.B.In a bookstore.C.In a dormitory.5.Why is the woman worried?A.Because she has no study plan.B.Because she has too much homework.C.Because she doesn’t have much time for study.听下面一段较长对话,回答以下小题。

6.What is the woman looking forward to?A.Running.B.Healthy food.C.Strength training.7.What are the speakers mainly talking about?A.Health.B.Wealth.C.Diet.听下面一段较长对话,回答以下小题。

8.What do the speakers usually do for lunch?A.Have a party in the office.B.Meet in the building's cafe.C.Go to a downtown restaurant.9.What must the speakers do before leaving?A.Finish their reports.B.Attend the company's celebration.C.Have a group lunch.听下面一段较长对话,回答以下小题。

2020-2021学年江阴市第一中学高三英语月考试卷及答案

2020-2021学年江阴市第一中学高三英语月考试卷及答案第一部分阅读(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的A、B、C、D四个选项中选出最佳选项ABored with your life? Dreaming of something different? I always wonder what life would be like400 kmabove my head. That's where the International Space Station orbits the earth, with six astronauts living and working on board, for months at a time.How do they sleep? They spend the night floating in a sleeping bag inside a small cubicle (小隔间) on the ceiling. American astronaut Sunita Williams explains, “It's like a little phone booth, but it's pretty comfortable and it doesn't matter if I turn overand sleep upside down. I don't have any sensation (感觉) in my head that tells me I'm upside down.”Brushing your teeth in a place where you can't have a tap or a sink can be a challenge. Can you imagine the mess that running water would make in zero gravity? Canadian astronaut Chris Hadfield uses a straw to put a big blob of water from a sealed bag onto an ordinary toothbrush and adds a little toothpaste which he has to swallow when he's done.Daily exercise is essential. The lack of gravity makes bones more fragile and muscles lose strength — so astronauts are encouraged to work out for at least two hours a day.The role of astronauts in the International Space Station is to act as lab technicians for scientists back on earth. So they spend their time maintaining their environment and performing and monitoring experiments in a confined space about the size of a Boeing 747. Almost every task is carefully planned by mission control — although most astronauts spend their first days losing things until they get used to sticking everything they use to the walls with Velcro, duct tape (强力胶带) or clips (夹子).One of their most valued perks (额外待遇) is the view from “the office”, dominated by that gigantic blue ball down there, sitting in the darkness of space. Wow! Absolutely breathtaking!1. When they sleep upside down, the astronauts willnot get dizzy because ________.A. they don't feel itB. they sleep in the daytimeC. they sleep in special sleeping bagsD. they are trained to adapt to the conditions of weightlessness2. What parts become weak if astronauts don't exercise?A. Their teeth and bones.B. Their brains and bones.C. Their bones and muscles.D. Their teeth and muscles.3. What is the passage mainly about?A. The Problems We Met in Space.B. Living and Working in Space.C. How to Become an Astronaut.D. The International Space Station.BAustralia’s Great Barrier Reef has lost 50% of its corals (珊瑚) within 30 years, with climate change a key driver of reef disturbance, a new study has found.Researchers from the ARC Centre of Excellence for Coral Reef Studies, inQueensland, northeasternAustralia, studied coral communities and theirsize along the length of theGreat Barrier Reefbetween 1995 and 2017, finding all coral populations disappear gradually, they said.Reefs are important to the health of ocean ecosystems — without them, ecosystems break down and ocean life dies.Coral population decreases happened in both shallow and deep water coral species, experts found, but branching and table-shaped corals — which provide habitats for fish — were worst affected by mass bleaching (漂白) events in 2016.Warm ocean temperatures are the main reason of coral bleaching. Bleaching doesn’t kill coral immediately, but if temperatures remain high, eventually the coral will die, destroying a natural habitat for many species of ocean life.“We used to think the Great Barrier Reef is protected by its huge size — but in fact our results show that even the world’s largest and ly well-protected reef system is increasingly destroyed and in decline,” Terry Hughes, an outstanding professor at the ARC Centre of Excellence for Coral Reef Studies, said.“There is no time to lose — we must sharply decrease greenhouse gas emissions as soon as possible,” the reporter warned in the paper, published in the Proceedings of the Royal Society journal.4. What has mainly influenced the coral populations of theGreat Barrier Reef?A. Destroyed habitats.B. Climate change.C. Lack of seafood.D. Bleaching events.5. What can we learn from the passage?A. Many species has been dying out slowly.B. The size of reefs contributes to their protection.C. Ocean ecosystems don’t develop without reefs.D. Bleaching continually disturbs table-shaped corals.6. What attitude does the reporter hold to the present situation of theGreat Barrier Reef?A. Worried.B. Angry.C. Hopeful.D. Surprised.7. What is probably the best title for the passage?A. Climate change damages theGreat Barrier ReefB. The Species of ocean Life Are In DangerC. Greenhouse Gas Emissions Get WorseD. Sea Ecosystems Are In DeclineCJanet Fein, aged 84, received her bachelor's degree from the University last week, having waited a long time for her chance to reach that goal.Growing up in the Bronx area ofNew York City, Fein worked at a dress manufacturer after graduating early at the age of 16. After getting married, she spent 18 years staying home with her children. She held several jobs through her life, including 20 years as a secretary at a hospital until her retirement at age 77.Fein has had a full life. But even then, she was not ready to take it easy and rest during a well-earned retirement. She decided to major in sociology because she felt it was “substantial.”Fein took part in a state program that lets people who are 65 and older take free classes at public universities in Texasand kept going to class even as her health conditions worsened. During her studies, it became necessary for her to use a walker to get around and she required oxygen. She also developed knee problems. So, Fein took online classes to finish the last part of her degree requirements.Sheila Rollerson, Fein' scollege advisor, and Carol, the professor told the media that Fein never showed signs of giving up even with all of her difficulties. She would speak up a lot in class and it just made for a more interesting class.Fein has also inspired Renee Brown, one of Fein's caregivers. At 53, Renee plans to begin nursing school tofurther her career. “Renee, you can do it. If I can do it you can do it, and you will feel so good about it,” Brown remembers what Fein told her.8. What is the second paragraph mainly about?A. Janet Fein's growthB. Janet Fein's aimC. Janet Fein's job experiencesD. Janet Fein's regrets9. What does the underlined phrase “substantial” in paragraph 3 refer to?A. InterestingB. ValuableC. EasyD. Affordable10. What can be learned about Fein according to the passage?A. Fein lived on little money after her retirement.B. Fein had a problem with her arms while at universities.C. The Internet played a role in Fein's university education.D. The good health helped Fein get her bachelor's degree.11. What is Janet Fein like according to the passage?A. Hardworking and humorous.B. Determined and generous.C. Positive and patient.D. Inspiring and perseverant.DChina's Mars probe Tianwen-1 successfully landed on the surface of the red planet on May 15, 2021, leaving a Chinese footprint on Mars for the first time and in its first attempt, becoming the only other nation besides theUSto get such an achievement. The Tianwen-1 probe touched down at its pre-selected landing area in the southern part of Utopia Planitia, a wide plain on Mars, at 7:18 a.m.(Beijing Time), after three months scanning the whole planet on Mars docking orbit, the China National Space Administration(CNSA) announced.Tianwen-1, including an orbiter, a lander and a rover, was launched from the 'Wenchang Spacecraft Launch Site on the coast of southernChinas islandprovinceofHainanon July 23, 2020. It was the first step inChina's planetary exploration of the solar system, with the aim of completing orbiting, landing and roving on the red planet in one mission. According to the administration, the country's first Martian probe will conduct scientific investigations about the Martian soil, environment, atmosphere as well as water.China's planetary exploration program has been named “Tianwen”, which was named after a long poem by the famous ancient poet Qu Yuan. The name represents the Chinese nation's willpower in pursuing truth, the country's cultural inheritance of its understanding of nature and universe, as well as the unending exploration inscience and technology.China's first Mars rover has been named “Zhurong”, which means the god of fire in an ancient Chinese story. The name indicates Chinese people's blessing for the rover to light the flame ofChina's planetary exploration. The rover has six wheels and four solar panels, and carries 13 scientific instruments. According to the CNSA, Zhurong has started its scientific exploration after moving from the landing platform onto the Red Planet's surface on May 22.More than 40 Mars missions have been launched since the 1960s, but only about half have succeeded. It is the first time in the world that orbiting, landing and roving on Mars has been completed in one launch mission, andChinahas come to the forefront of Mars exploration in the world.12. What can we learn from the first two paragraphs?A. China is the only nation to launch a probe to Mars.B. Tianwen-1 landed in the northern part of the planet.C. Tianwen-1 scanned the southern part of the planet.D. The Mars probe will carry out scientific investigations.13. How did the planetary exploration program get its name?A. From a long poem by Qu Yuan.B. From an ancient Chinese story.C. From Chinese nation's willpower.D. From theChinaNational Space Administration.14. Why does the author sayChinahas come to the leading position of Mars exploration?A. The rover carried many scientific instruments.B. China completed three tasks in one attempt.C. The rover successfully moved from the landing platform onto Mars.D. The CNSA is continuously exploring science and technology.15. What is the text mainly about?A. Tianwen-1 completed its mission.B. Tianwen-1 represented the god of fire.C. Tianwen-1 successfully landed on Mars.D. Tianwen-1 was launched from Wenchang.第二节(共5小题;每小题2分,满分10分)阅读下面短文,从短文后的选项中选出可以填入空白处的最佳选项。

重庆市第一中学2023届高三下学期3月月考化学 (无答案)

2023年重庆一中高2023届3月月考化学试题卷一、选择题:本题共14小题,每小题3分,共42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.化学与生活生产密切相关,下列说法错误的是( ) A .用23Na CO 与()243Al SO 两种溶液制作泡沫灭火剂 B .4NH Cl 与2ZnCl 溶液可用作焊接金属的除锈剂 C .4BaSO 常用作医学上肠胃X 射线检查的造影剂 D .带有强亲水基团的聚丙烯酸钠常用作高吸水性树脂 2.下列化学用语表述正确的是( )A .基态铷原子最高能级的电子云轮廓图:B .2CS 的电子式:S C S ::::C .亚油酸(顺,顺-9,12-十八碳二烯酸)的结构简式:D .苯分子中的大π键示意图:3.常温下,下列各组离子在指定溶液中一定能大量共存的是( ) A .能使甲基橙变黄色的溶液中:2Mg +、3Fe +、227Cr O -、ClO -B .饱和2CO 溶液中:K +、2Ba +、3NO -、Cl -C .澄清透明溶液中:K +、2Fe +、24SO -、[]36Fe(CN)-D .由水电离的()141H110mol L c +--=⨯⋅的溶液中:Na +、K +、F -、I -4.下列叙述错误的是( )A .向22Na O 固体中分别通入2CO 和2SO 气体,均能得到大量2OB .过量3NH 分别通入3AgNO 溶液和32Cu(NO )溶液中,均可看到溶液先浑浊后澄清C .2SO 使溴水褪色与乙烯使4KMnO 溶液褪色的原型相同D .饱和34Na SO 溶液和浓硝酸均可使鸡蛋清溶液产生沉淀,但原理不同 5.下列实验装置(夹持装置略)及操作正确的是( )6.布洛芬、阿司匹林、酚麻美敏片均属于常见的解热镇痛抗炎药,下图所示X 、Y 、Z 分别是其有效成分分子的结构简式。

下列说法错误的是( )A .X 含1个手性碳,且与苯甲酸互为同系物B .Y 中所有的碳原子可能在同一平面上C .Z 苯环上的H 被Br 所取代,二溴代物有4种D .X 、Y 、Z 均能与23Na CO 反应产生2CO7.金属M 在潮湿的空气中会形成一层致密稳定的233M(XY)MZX ⋅。

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2016年重庆一中高2016级高三下期3月月考英语试题卷英语试题卷共10页。

满分150分。

考试时间120分钟。

注意事项:1. 答题前,务必将自己的姓名、准考证号填写在答题卡规定的位置上。

2. 答选择题时,必须使用2B铅笔将答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦擦干净后,再选涂其他答案标号。

3. 答非选择题时,必须使用0.5毫米黑色签字笔,将答案书写在答题卡规定的位置上。

4. 所有题目必须在答题卡上作答,在试题卷上答题无效。

第I卷第一部分听力(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5段对话。

每段对话后有一个小题,从题中所给的A、 B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What does the woman think they should do on vacation?A.Hiking.B.Camping.C.Skiing.2.When will it stop snowing, according to the woman?A.In a week.B.Tonight.C.Tomorrow evening.3.How much did the woman pay for the hat?A.Thirty dollars.B.Fifty dollars.C.Sixty dollars.4.Why does the woman want to drive?A.She doesn’t like the bus.B.The weather will be windy.C.She just got a new car.5.What do we know about the woman and her brother?A.They talk on the phone every day.B.They are having problems.C.They have never been close.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。

每段对话或独白后有2至4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。

听每段对话前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题给出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.Why does the man say sorry at the beginning?A.He can’t remember the woman.B.He can’t give the woman a higher score.C.He can’t give the woman any advice.7.Why does the man assume the woman wants?A.To ask about geography.B.To teach.C.To study.听第7段材料,回答第8至10题。

8.How long has the man been working at the company?A.Only a few months.B.Since last year.C.Twenty years.9.What does the man think of the woman?A.She lacks experience.B.She did a great job.C.She should work harder.10.What is the woman’s reaction to the man’s words?A.She is calm.B.She is sad.C.She is angry.听第8段材料,回答第11至13题。

11.Why can’t the man help with the assignment?A.He was born after the war.B.He can’t remember the war.C.He doesn’t want to discuss the war.12.Where are the girl’s great-grandparents?A.They live with her.B.They live in England.C.They passed away.13.Who is Mr.Fenton?A.A history teacher.B.A relative of the girl.C.A neighbor of the girl. 听第9段材料,回答第14至17题。

14.For whom does the man want to buy a computer?A.His kids.B.Himself.C.His friend.15.What is true about the two main computers?A.The Alpha is more expensive.B.The Beta has a large screen.C.The Beta is the best new PC of 2015.16.What does the man prefer his kids to do?A.Play sports.B.Play computer games.C.Study for school.17.What will the man do next?A.Go home.B.Take a look around.C.Buy one of the computers.听第10段材料,回答第18至20题。

18.Where is the Marina Trench?A.In the eastern Pacific Ocean.B.East of the Mariana Islands.C.West of the Indian Ocean.19.How deep did scientists go to observe the fish?A.About 5 miles deep.B.Over 8 miles deep.C.Around 14 miles deep.20.How did the scientists describe the fish?A.Dark.B.Weak.C.Strong.第二部分阅读理解(共两节, 满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项AAs I grew older, my dad and I grew further apart. We always had totally different opinions. He thought that college was a waste of time, but for me it was important to finish college. He wanted me to work my way to the top as he had done in his field, but I wanted a different life. There was a time when we did not talk with each other.A few months ago, I heard that my 84-year-old dad was in poor health. When he called and asked whether I could move from Colorado back to Tennessee to help him, I knew he was seriously ill. I am his only child and so it was time to meet my father’s requirement.Two weeks after moving back, we bought a boat and started fishing again. Fishing was one of the few things that we did while I was young and that we both enjoyed. It is strange but true that as we are fishing we are able to put things that have kept us apart for so many years behind us. We are able to talk about things that we have never talked about before. Fishing has been healing the old wounds that have kept us apart.It is not important how many fish we catch. It is about enjoying the relationship that we have not had for years. I’m 62 and he is 84. When we are on the lake fishing, it is like enjoying life. It is far better to find a way to put the unhappy past behind. I am so lucky to spend the happy time with my father in his last years. Now my heart is filled with love. A smile always graces my lips.21.The author and his father became further apart because .A.they lived very far from each otherB.they seldom saw each otherC.they only communicated by phoneD.they had different views on things22.For the author, fishing with his old father .A.helps cure his father’s diseaseB.makes him realize the importance of relaxationC.is a good way to get close to natureD.provides a chance for them to communicate23.Which of the following can be the best title for the text?A.Fishing Brings Us TogetherB.Forgiving I s DifficultC.Memories of Old DaysD.My Beloved FatherBBelow are the best four applications to help you organize your closet(橱柜)—and trust us, there really is something for everyone.ClosetIf you’re looking to create your own digital closet, then this app is for you. Closet helps you categorize your outfits and keeps you up-to-date on what you’ve already worn.PROS:Very simple and user-friendly. Great for helping you look at your own closet without feeling overwhelmed.CONS: No social interactions. This app is strictly for having a mobile version of your closet.PoseThe app makes things insanely easy for the indecisive shopper. So if you’re debating whether or not to buy something, you can get a second opinion. The app also gathers photosof items that you wish to buy and items you already own, so they are all in one spot.PROS: When you sign up, you fill out a short survey that helps identify your personal style and subsequently finds people with similar taste that you can follow for inspiration.CONS:The phone application is more visually appealing than the actual website.Styliticsit allows you to categorize your clothes by color, brand, pattern and more. And if you’re wondering whether you have already worn an outfit, simply check your style calendar.PROS:The app comes with a“Today in Fashion History”tip so you can brush up on your style knowledge.CONS:You can’t view your style profile using the app yet unless you log on to the site.Walk in My ClosetIf you’re browsing the Internet, looking for something to buy, you can instantly add the item to your virtual closet so that your wish list items are all one place. Besides sharing your closet with other users, you can also sell items you no longer want.PROS:The“Moodboard”is a great way to gather inspiring looks that you like from other users and fashion experts.CONS:The luggage feature, which allows you to prepare outfits for an upcoming trip, is only available on the site; it would be useful if it were on the app.24.Which of the following can replace the underlined word?A.Instantly.B.Accurately.C.Deliberately.D.Incredibly.25.Which of the following is designed for people who often hesitate when buying clothes?A.Closet.B.Pose.C.Stylitics.D.Walk in My Closet.26.What can we learn about Walk in My Closet from the passage?A.It is a simple and user-friendly app.B.It helps you confirm your personal style.C.It combines both shopping and organizing your closet.D.It requires you to log on the site to view your style profile.27.The passage mainly tells us .A.about the four best fashion apps to help organize your closetB.how to use these fashion appsC.that everyone can find their own personal styleD.that we should share our closet with friendsCWhile most of us are happy to take the credit when things go well, few of us are willing to take the blame when things go wrong. Rather than trying to hide our shame or embarrassment, experts found that we are simply less aware when our actions result in a negative outcome.The research may explain why we often feel it hard to take the blame for our actions.“Our result suggests that people may really experience less responsibility for negative than for positive outcomes,”said Patrick Haggard, leading researcher and professor of the institute of Cognitive Neuroscience at University College London.In a series of tests, participants were asked to press a key. A sound then followed, either disapproving, neutral or approving, and they were then asked to estimate the time between the action and when they had heard the sound.Researchers found that individuals experienced different levels of responsibility depending on the outcomes. They also discovered they were significantly slower to recognize if their actions had resulted in a bad consequence, compared to when they had done well.“Effectively, we have found that we experience a negative outcome differently, not just retell it differently. We make a weaker connection when there is a bad result. And respond much more strongly when something good happens,”said Professor Haggard. When something goes right, everyone wants to take the credit, and when things go wrong, nobody is interested in putting their hands up.The researchers said our brain is“very much concerned”with reward, as good results are key to survival. Although our own perception(认知) of whether we are guilty of something or not is changed by the outcomes, this does not provide a defense if we have done something wrong.“Our experience of our own responsibilities can be misleading and can be strongly colored by the outcomes of our actions.”said Professor Haggard.“We have to take responsibility for what actually do, not just for how we experience things.”28.People who don’t take the blame for their actions .A.always try to hide their shame or embarrassment.B.are only willing to take the credit when things go wellC.feel less responsible for negative than for positive outcomesD.are less aware of what to do when a negative outcome happens29.Which of the following statements is TRUE?A.Our level of responsibility can be strongly affected by the outcomes of our actions.B.When something bad happens, nobody is interested in dealing with the problem.C.People were quicker to recognize if their actions had resulted in a bad consequence.D.Participants were asked to count the time between pressing a key and hearing the sound.30.How is the passage developed?A.By giving examples.B.By quoting research findings.C.By analyzing cause and effect.D.By providing data.31.According to the passage, a person who is concerned with reward is .A.awkwardB.naturalC.absurdD.stubbornDA team led by Professor Theoder Berger, from the University of Southern California, can now manipulate(操纵) brain cells in rats so that memories stored in the hippocampus, a brain area crucial for memory formation, are activated or suppressed(抑制). It’s said that the technology could one day have medical applications.In the study, researcher first trained rats to remember which of two levers(杠杆) they pressed first, then to press the other lever.As the rats performed the task, the scientists carefully monitored the electrical activity in each creature’s hippocampus to find the pattern of nerve-cell activityinvolved in making a solid memory.Using the same glass needles they had used to record the nerve activity, they stimulated (刺激) nerves in the same pattern and found that the animals’ performance in the task got even better. The rats made fewer errors and were able to remember which lever was the “correct”one for a longer period of time.The scientists went a step further and suppressed the rats’memories with a drug called Mk801, which caused them to forget their task. When the animals’ brain cells were later stimulated with the“correct”pattern, they remembered again which lever to press.“What’s really exciting about this study is that when they played back the‘good’patterns—the patterns when the animal got the task right—it did appear to improve memory,”said Dean Buonomano, an associate professor at the University of California.The final goal, Berger said, is to help people with stroke(中风) and epilepsy(癫痫症) and the like strengthen memories and to help doctors treat them. The technology might even help sufferers of post-traumatic(创伤后) stress disorder.But first, researchers would have to show that they can stimulate or suppress far more complex memories than the ones in the rat experiment.“Here ,it’s a simple task,”Buonomano said. In contrast, humans’memories are very rich and specific…“We have very many steps to go before this can be achieved,”he said.32.How does“the technology”in Paragraph 1 act?A.It manipulates brain cells.B.It stores memories in the hippocampus.C.It activates memories stored in the brain.D.It suppresses memories stored in the brain.33.In what order did the researchers conduct the rat experiment?a.Monitor the electrical activity in the rat’s hippocampus.b.Suppress the rat’s memory with a drug called MK801.c.Stimulate the rat’s nerves in the same pattern.d.Stimulate the rat’s nerves in the same pattern for a second time.e.Train the rats to remember the order of the two levers they pressed.A.a, e, b, c, dB.a, e, c, d, bC.e, a, c, d, bD.e, a, c, b, d34.When their nerves were stimulated, the rats .A.forgot their taskpleted the task betterC.made no errors in their taskD.remembered which lever they had pressed for a shorter time35.What can we infer from the article?A.MK801 is a drug that can be used to stimulate nerves.B.The study is expected to be used to help stroke and epilepsy patients recover completely.ing the study to improve human s’ memories still face many challenges.D.Researchers have studied far more complex memories than the ones in the rat experiment.第二节(共5小题;每小题2分,满分10分)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。

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