【天津市第一中学】2017届高三月考英语试卷(四)及答案
天津市第一中学2017届高三月考英语试卷（四）A卷第一节（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.例:How much is the book? ________A．€2.15.B．€5.20C．€20.15答案为C.1．What relation is the boy to the girl? ________A．Her student.B．Her workmate.C．Her classmate.2．How does the man usually go to work? ________A．On foot.B．By car.C．By bike.3．What is the woman’s opinion on the restaurant? ________A．Everything there is great.B．She doesn’t like the food.C．The service is disappointing.- 1 - / 214．What probably is the time now? ________A．8: 00.B．7: 40C．7:20.5．How much will the woman pay for the apples? ________A．$38．B．$36．C．$32．第二节（共10小题;每小题1.5分,满分15分）请听下面3段材料.每段材料后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试题卷的相应位置.听每段材料前,你将有时间阅读每个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间.每段材料读两遍.听下面一段对话,回答第6、7题.6．Where will the meeting be held? ________A．In a library.B．In an office.C．In a hotel.7．How many people will attend the meeting? ________A．50.B．60.C．70.8．Why does the woman call the man? ________A．To inform him of the changes.B．To persuade him to give a speech.- 2 - / 21C．To invite him to a meeting.听下面一段对话,回答第9至第11小题.9．How many classes are there in the man’s school? ________A．20B．30C．4010．When is the cooking group open to students? ________A．On Tuesday.B．On Wednesday.C．On Friday.11．What will the man do next? ________A．Play computer games.B．Get sports training.C．Take a class.听下面一段独白,回答第12至第15小题.12．When was the BBC established? ________A．In 1792B．In 1897.C．In 1927.13．What did the original organizers value most about the BBC? ________ A．Profits.B．Independence.C．Position.- 3 - / 2114．Who can influence the BBC’s programs? ________A．The government.B．The audience.C．The advertisers.15．Which of the following are supported by the government? ________A．World-service programs.B．Educational programs.C．Domestic political programs.B卷第一节（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三个选项中选出最佳选项,并标在试卷的相应位置.听完每段对话后,你将有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.例:How much is the book? ________A．€12.15B．€15.20C．€20.15答案为C.1．Why does the man make the call? ________A．To inform the doctor of his delayB．To ask someone to repair his car.C．To make an appointment2．Where will the woman probably go? ________A．Korea.- 4 - / 21C．China.3．How often will the man exercise in summer? ________A．Three times a week.B．Five times a week.C．Six times a week.4．What are the speakers mainly talking about? ________A．The weather.B．The plan for Sunday.C．Their families.5．What does the woman mean?A．She is supposed to go now.B．The deadline is approaching soon.C．She handed in her paper two days ago.第二节（共10小题:每小题1.5分.满分15分）听下面3段材料.每段材料后有几个小题,从题中所给的A、B、C三个选项中选出一个最佳选项,并标在试卷的相应位置.听每段材料前,你有时间阅读每个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间.每段材料两遍.听下面一段对话,回答第6至第8小题.6．What is the woman’s plan? ________A．Expand her house.B．Paint her house.C．Buy a new house.7．What is Don’s job? ________- 5 - / 21B．A famous musician.C．A dentist.8．Where is the woman going now? ________A．Her home.B．Her office.C．The store.听下面一段对话,回答第9至第11小题.9．What does the woman want to learn this summer? ________A．Gardening.B．Driving.C．Computer.10．Why doesn’t the woman choose Ideal Life School? ________A．The charge is high.B．The learning period is too long.C．There are no classes suitable for her.11．How much should the woman pay for studying in Going Training School? ________ A．$3 200.B．$3 000.C．$2 800.听下面一段独白,回答第12至第15小题.12．What is the man talking about? ________A．His career life.- 6 - / 21B．His after-work activities.C．His success as an expert climber.13．What is the man going to do next year? ________A．Climb the Alps with his wife.B．Enter for the London Marathon.C．Complete a course of climbing.14．When did the man do easy climbs in the Alps? ________A．A few months ago.B．Last year.C．Several years ago.15．What can we learn from the conversation? ________A．The man’s wife doesn’t like climbing.B．The man is still not good at ice climbing.C．The man prefers climbing to running.第Ⅰ卷选择题（共95分）第一部分:英语知识运用（共两节,满分45分）第一节单项填空（共15小题,每小题1分,满分15分）从A、B、C、D四个选项中,选出可以填入空白处的最佳选项.例:Stand over there ________you’ll be able to see it better.A．or B．and C．but D．while 1．---Excuse me, Miss, but may I share your table?---Of course. ________.A．Not at all B．Be my guest C．As you wish D．I don’t mind- 7 - / 212．If you want to see a doctor, you fix a date with him ahead of time. That is a common ________in the USA．A．view B．exercise C．practice D．reality3．Every classroom in this modern school is ________with a new TV set on the wall and a computer on the teacher’s desk.A．equipped B．decorated C．fixed D．placed4．The debate here will be limited in two main respects, ________the time available.A．in view of B．in return for C．in addition to D．in comparison with5．________to her own work, she spent little time with her family.A．Devoting B．To be devoted C．Devoted D．Having devoted6．---Are we about to have dinner?---Yes, it ________in the dinning room.A．serves B．is serving C．is being served D．has been serving7．Was it because the traffic was very heavy during the rush hours ________you were late again?A．when B．why C．which D．that8．John, ________money was now no problem, started a new company with his friends.A．for whose B．of whose C．of whom D．for whom9．---Are you ready to leave?---Almost, I’ll be ready to go just as soon as I ________putting the clean dishes away.A．get through B．give up C．carry out D．set about10．---Have you heard from Janet recently?---No, but I ________her over Christmas.A．saw B．will be seeing C．have seen D．have been seeing11．Who did the teacher have ________an article for the wall-newspaper just now?A．written B．writing C．to write D．write- 8 - / 2112．---Don’t look down upon Bob. He has his own advantages.---Oh, yes, ________others are weak, he is strong.A．Before B．When C．Where D．Though13．---This free gift doesn’t look good.--- ________, madam, but if you want good quality, you have to pay for it.A．No doubt B．No offence C．No problem D．No way14．They carry out ________checks on milk products to make sure that they are of high quality.A．common B．natural C．ordinary D．regular15．I’m sorry. ________for my illness, I would have come and lent you a helping hand.A．Were it not B．If it were not C．Had it not been D．If has not been第二节完形填空（共20小题;每小题1.5分,满分30分）阅读下面短文,掌握大意,然后从16~35各题所给的A、B、C、D四个选项中,选出最佳选项.Armed with a bachelor’s degree in medicine, I left Jammu, my hometown, for Delhi hoping to find a good job. Those were testing time --- I was 16 my resume at every hospital and clinic in the capital, and facing upsetting 17 responses. These big-city folks seemed too busy to care about a 23-year-old, jobless girl. Then a friend told me about the “Technical Recruitment Cell”, 18 near the Income Tax Office （ITO）, where I could 19 for a government job.The next day I reached the ITO area and 20 in the sun for an hour asking everybody for the Technical Recruitment Cell, but no one had any idea 21 it was.It was 22 , and the heat unbearable. I then reached a big book shop, full of books on law and finance. Maybe I’ll 23 inside, I thought as I walked in and found a man aged about 40 busy at his PC．24 him, I asked if he knew the address. Seeing me drenched in sweat（大汗淋漓）,he asked me to take a 25 and offered me a glass of water. He then googled “Technical Recruitment Cell”, but without 26 . I must have looked frustrated.“Don’t get 27 .” he said, as he continued his search. “We’ll find it.” He’d spent several minutes searching when an older man. Who also 28 in the shop, came by and asked us what we were looking for.“Beta, it might be the Delhi Subordinate Board,” he suggested. “They 29 people for government posts.”- 9 - / 21We searched for that and found it 30 --- actually the Delhi Subordinate Services Selection Board. They then gave me a printout of the 31 .“What do I 32 you for the Internet time and the printout?” I asked the first gentleman.“Oh, nothing. Good luck!”“Thank you,” I said to the pair. The older man then told me the 33 of the bus that would get me there, the fare, even the best 34 to take, finally saying “God bless you!” as I walked out.I was happy in the discovery that not all city folks are too 35 to help other.16．A．dropping B．reviewing C．sending D．examining17．A．admirable B．negative C．enthusiastic D．professional18．A．adapted B．adopted C．situated D．covered19．A．wait B．register C．prepare D．make20．A．tolerated B．prayed C．looked D．wandered21．A．when B．why C．where D．how22．A．discouraging B．thrilling C．inspiring D．entertaining23．A．read B．meet C．ask D．think24．A．Troubling B．Interrupting C．Impressing D．Embracing25．A．walk B．breath C．try D．seat26．A．luck B．doubt C．wonder D．delay27．A．cautious B．upset C．lost D．regretful28．A．rested B．played C．listened D．worked29．A．train B．arrange C．immediately D．formerly30．A．slowly B．calmly D．immediately D．formerly31．A．name B．telephone C．position D．address32．A．owe B．charge C．demand D．thank- 10 - / 2133．A．chance B．test C．route D．prize34．A．chance B．test C．route D．prize35．A．rich B．generous C．eager D．busy第二部分阅读理解（共20小题:每小题2.5分,满分50分）阅读下列短文,从线题所给的A、B、C、D四个选项中,选出最佳选项.AChildren’s Activities（6---13 years）---Sumer 2017There is no chance of children getting bored in the holidays with these action-packed weeks of fun and games. Days begin with team building activities to help “break the ice” and get the children in the mood. The wonderfully safe and secure environment of Port Regis enables the children to explore the woods and enjoy their own creative play.WEEK 1: Festival of Sport（Monday 22nd July to Friday 26th July）The summer activities kick-off with a wonderful week of sporting fun including cricket, athletics and other great team games. Swims in the pool and games in the gym.WEEK 2: Let’s Go Wild（Monday 29th July to Friday 2nd August）A whole week in the great outdoors with treasure hunts, camp bed and cave building along with amazing team games in woods. This week guarantees to be like no other. Navigate yourself through the huge spiders’ web and guide balls through the huge ball maze… this is a great week for making new friends.WEEK 3: Sporting Madness（Monday 5th August to Friday 9th August）A wild and strange week of tournaments and team （both traditional and a few of the homemade variety）games, but be warned, you might get wet! Arts and crafts, fun in the gym and swims in the pool make this a hard week. Besides exhaustion, you’d better learn to get used to challenges and accept any result. Activities will be dependent on the weather.WEEK 4: Make a Racquet（球拍）（Monday 12th August to Friday 16th August）What a racquet this week brings with all the bat. Racquet and club sports you could wish for… crazy golf, tennis, badminton, cricket and table tennis to name but a few for the children to enjoy.WEEK 5: Having a Ball（Monday 19th August to Friday 23rd August）- 11 - / 21Quizzes, arts and crafts, fun in the gym and swims in the pool are not to be missed within this week of fun.WEEK 6: Medal Medley（混战）（Tuesday 27th August to Friday 30th August）This week re-runs the best bits of the last five weeks with great team games and toumments, action-packed all sports, floaty fun in the pool and adventures in the woods.Swimming kit, plenty to drink and break snacks. Dependant on the weather, children will need either sunscreen and sun hats or wet weather gear.36．What can we learn from the first paragraph? ________A．Children will gradually adapt to the cold weather in the activities.B．Children will form a good mood naturally in Port Regis School.C．Children will explore nature to tally on their own in the secure environment of Port Regis.D．Children will become comfortable with each other through team building activities.37．Which activity will be unique? ________A．Make a Racquet.B．Let’s go wild.C．Festival of sport.D．Sporting madness.38．According to the passage, WEEK 3 will be a week when ________.A．children may experience the feeling of failureB．all the games may be played indoorsC．children may get warned for failing in gamesD．children may swim in the river in the wild39．When can children review the activities they had before? ________A．29th July to 2nd August.B．Thursday 27th July to Friday 30th August.- 12 - / 21C．Tuesday 27th August to Friday 30th August.D．Monday 19th August to Friday 23rd August.40. What information can we learn from the passage? ________A．Children will be provided with snacks to eat.B．Children must wear sunscreen or sunhats.C．Children need to prepare for rainy day.D．Children have to drink a lot for swimming.BWilliam Purkey, a well-known professor of education, said, “Dance like no one is watching, love you’ll never be hurt, sing like no one is listening, and live like it’s heaven on earth.” It seems like the perfect life philosophy --- and one I’ve learned to apply to running over the year.But I didn’t always feel this way. In my early days, when I weighed 240 pounds, I ran like everyone was watching —and judging. If I was on a run and saw a car approaching, I’d stop and pretend I was looking for something I’d lost. I bought the high-tech gear and clothes that I thought would make people believe I was a runner. And I didn’t have a clue if the expensive shoes I was wearing were the right kind for me --- I just wanted to look like I fit in with this group.To be honest, I felt a certain satisfaction in believing that someone was watching. I really thought that other people cared about my performance. The best example of this was a combined, two-lap marathon in Florence, Italy. As I approached the finishing line, the crowd began to cheer. I was surprised. Here I was, thousands of miles from home, and the Italians were shouting for “IIPenguino.”About 20 years from the finishing, the truth set in when the winner of the full marathon went past me as I was finishing the half – marathon. No one was cheering for me. No one probably even noticed that I was finishing. I couldn’t help but smile at my own illusion of self-importance.That’s when I realized I had been running for every reason except the right one. I ran to make other people happy, ran to live up to their expectations. But no one was watching ---no one cared. So I decided I was going to run for me—just me—and gained a new enjoyment from the sport I hadn’t truly experienced yet. I’ve learned to run like no one is watching.So if you see me at race, and I look like a 60-year-old guy waddling（蹒跚）along, don’t worry. I’m fine. The- 13 - / 21miracle isn’t that I finished. The miracle is that I had the courage to start. 41．The writer presents the passage by ________.A．telling his running storyB．explaining a life philosophyC．listing some life rulesD．introducing quotations42．It can be inferred from paragraph 2 that the writer ________. A．used sports clothes and shoes to attract attentionB．was concerned about what others thought of herC．liked to be the focus of other runnersD．struggled to find the right shoes to fit her43．When the writer was near the finishing line, ________.A．she smiled at her own achievementB．the crowd cheered for her madlyC．nobody really cared about her runningD．she realized the importance of confidence44．Now the writer thought the reason for running is to ________. A．live up to others’ expectationB．create a miracle in her own lifeC．run like no one is watchingD．enjoy the pleasure of running45．By telling her own story, the writer wanted to ________.A．tell us to live a life of our own- 14 - / 21B．inspire more people to runC．expect us to improve our health by runningD．stress the importance of determinationCSoaping up your hands may do more than just get rid of germs. It may wash away the inner confusion you feel right after being forced to make a choice between two appealing choices, according to a new study. The study builds on past research into a phenomenon known as “the Macbeth effect”.It turns out that Shakespeare was really onto something when he imagined lady Macbeth trying to clean her conscience（良心）by rubbing invisible bloodstains from her hands. A few years ago, scientists asked people to describe a past wrong act. If people were then given a chance to clean their hands, they later expressed less guilt than people who hadn’t cleaned.This finding fascinated W. S. Lee, a researcher. “Anything from the past, any kind of negative emotional experiences, might be washed away,” says Lee.He decided to test hand washing’s effect on one kind of bad feeling: the tension we feel after being forced to choose between two attractive choices, because picking one choice makes us feel that we’ve lose the other. People usually try to calm this inner conflict by later exaggerating（夸大）the positive aspects of their choice.He had students rank 10 different music CDs. Then be offered students one CD as a gift. Some students then use liquid soap. Others only looked at the soap or sniffed（噢）it. “Actually, you do not need water and soap,” says Lee.Later, the students again had to rank all the music. People who didn’t wash their hands had the normal response --- they scored their take-home CD higher. Suggesting that they now saw it as even more attractive than before. But this wasn’t true for the hand washers. They ranked the music about the same…“they feel no need at all to justify the choice,” say Lee.But the implications of it just aren’t clear. Schwarz says it’s too soon to know whether people should head for a sink after making a tough choice. He says washing may help decision-makers by cleaning away mental disorder, but perhaps if they don’t go through the usual post-decision process of justifying their choice, they might feel more sorrow in the long run.46．The Macbeth effect refers to the fact that ________.A．Shakespeare did scientific research before writing Macbeth- 15 - / 21B．soaping up one’s hand may help wash away the inner confusion and make a decision C．people feel less guilty by getting rid of invisible germs from their hands D．people feel less ashamed after washing their hands47．According to Lee, after people make the choice ________.A．they will overstate the goodness of their chosen choiceB．they will feel regretful for not choosing anotherC．they will feel free due to the feeling of losing the other choiceD．they will think nothing of their chosen choice any more to calm their inner conflict 48．According to Lee, the hand washers consider the judgment of choice ________. A．more scientificB．unnecessaryC．a little convincingD．absolutely useless49．What does Schwarz need to research more? ________A．Whether people need to justify their choiceB．Whether people feel more sorrow after washing hands.C．Whether washing hands help over a long period of time.D．Whether washing hands is helpful to make a choice.50. What might be the most suitable title for the passage? ________A．Is Washing Hands Necessary to Defeat Tension?B．Washing Hands Washes Our MindC．Washing Hands Helps Make a Better ChoiceD．Washing Hands Reduces the Stress of Decision- 16 - / 21DIf you feel yourself turning into an old grouch（脾气坏的人）,don’t worry --- happiness is just around the bend. A survey has found that although happiness dips in those in their 30s and 40s, people start to feel more content with life after the age of 50.However an economist found that older people will never again regain the excitement of youth. Rather it is thought that with age, individuals become more pragmatic about the ups and downs that life brings and accept their fortune.He questioned those in Britain, Switzerland and Germany and applied the findings to people’s life cycle.Mr. Van Landeghem, 29, said: “A happiness curve does not necessarily imply that a 65-year-old prefers his own life to the life of a 25-year-old.”“Both the 25-year-old and 65-year-old might agree that it is nicer to be 25 than to be 65．But the 65-year-old might nevertheless be more satisfied, as he has learned to be satisfied with what he has.”It was suggested the mid-life happiness dip is because this is when people have the most responsibilities --- taking care of a family, paying a mortgage（抵押贷款）and having a demanding career. The middle-aged dip in happiness was also compared to that of losing a close relative or suddenly becoming unemployed.The study is just one of many put forward as an indicator of what makes for a happy life.Psychologists concluded that having money makes you happier, but only if you have a lot more than your friends and neighbors. At the same time, you’d better have enough time to enjoy yourself instead of spending all your time on making money.Separate research found that owning the house of your dreams, the car you always longed for and having millions in the bank doesn’t stop that desire to keep up with the Joneses. （攀比）And if the Joneses have more than you do, you’ll be miserable. It seems envy at being lower in the social pecking order （权势等级）reduces the satisfaction of being well off.If you just do what you love and you are good at, which society also values much, you may have a higher probability to be happy. But if your job pays less, how can you stick to it in disregard of responsibilities? Happiness means different things from different points of view, and point of view grows from one’s experience and knowledge. Perhaps it comes with you when you don’t need to think about adult problems or when you are wise enough to understand what satisfaction is.51．He underlined word “pragmatic” in paragraph 2 may mean ________.- 17 - / 21A．realisticB．concernedC．nervousD．careful52．According to the passage, people in their 30s and 40s ________. A．may feel it more difficult to experience happinessB．may sense happiness declines owing to other complicated factors C．start to realize responsibility and risk mean happinessD．may associate happiness with money and status and risk pursuing happiness 53．It is implied in the passage that ________.A．happiness comes when you complain lessB．life is full of ups and downs in factC．a sense of responsibility brings you happinessD．competing with others often makes you blue54．What makes for a happy life? ________A．One’s family.B．One’s money.C．One’s wisdom.D．One’s status.55．The best title for the passage may be ________.A．happiness is U-shapedB．happiness is an experienceC．happiness makes you satisfied- 18 - / 21D．happiness can be won by yourself第Ⅱ卷非选择题（共35分）第三部分:写作（共两节,满分35分）第一节阅读表达（共5小题;每小题2分,满分10分）阅读短文,按照题目要求英语回答问题.On my first job as sports editor for the Montpelier Leader Enterprise （MLE）, I didn’t get a lot of fan mail, so my attention was caught by a letter on my desk one morning.When I opened it, I read: “Sweet piece of writing on the Tigers. Keep up the good work.” It was signed by Don Wolfe, the sports editor. Because I was a teenager （being paid the grand total of 15 cents a column inch）, his words could not have been more inspiring. I kept the letter in my desk drawer until it got old. Whenever I doubted I had the right stuff to be a writer, I would reread Don’s note and walk on air again.Later, when I got to know him, I learned that Don made a habit of writing a quick, encouraging note to people in all walks of life. “When I make others feel good about themselves,” he told me, “I feel good, too.”Over the years, I’ve tried to copy Don and write uplifting words. In a world too often cold and unresponsive, such notes bring warmth.Why are positive note writers in such short supply? My guess is that many who shy away from the practice are too self-conscious. They are afraid they will be misunderstood. Thus it may cause troubles and problems. And it sounds insincere on the phone. Also, writhing takes time; it is far easier to pick up the phone.The drawback of phone calls, of course, is that they do not last. A note attaches more importance to our well-wishing. It is a matter of record, and our words can be read more than once, savored（回味）and treasured, and they bring strength and love to us.Today I sent a warm letter to my old boss. I don’t know if it will make his day, but it made mine. As my friend Don Wolfe said, “Making others feel good about themselves makes me feel good too”.56．What does the underlined part “walk on air” in Paragraph 2 probably mean?（No more than 5 words）57．According to the author, why aren’t people willing to write letters?（No more than 15 words）- 19 - / 2158．Why did the author write to his old boss? （No more than 15 words)59．What’s the text mainly about? （No more than 10 words）60．Were you encouraged by anybody? And how?（No more than 25 words）第二节书面表达（共1小题,满分25分）假设你是李津,随着世界读书日的临近（4月23日）,你所在的学校举办了一次“校园书（Campus Book Fair）”活动.你很喜欢这次活动,想将活动情况向你的英国笔友安迪进行介绍,请写一封电子邮件,内容包括:1．活动的目的:举办的时间、地点;2．活动项目:读书交流、旧书交换或出售以及新书展销;3．你的个人感受,并询问安迪他所在地有关世界读书日的相关活动情况.注意:1．词数不少于100;2．开头和结尾已经写出,不计入总词数;3．可以适当增加细节,以使行文连贯;4．世界读书日:World Reading Day or World Book and Copyright Day.Dear Andy,How are you doing these days?Looking forward to your early reply.Yours,Li Jin天津市第一中学2017届高三月考英语试卷（四）试卷A1~5．CBCBA6~10．CBACA11~15．CCBBA- 20 - / 21试卷B1~5．AACBB6~10．ACCBC11~15．CBBCA单项填空1~5．BCAAC6~10．CDDAB11~15．DCBDC16~20．ABCBD21~25．CACBD 26~30．ABDCC31~35．DABCD36~40．DBACC41~45．DBCDA46~50．DABCD51~55．ABDCA56．Become confident. / Feel good about himself. /Become uplifted.57．Because they may be self-conscious, and writing may cause misunderstanding, and also take time.58．To encourage him, make him feel good and also the same to the writer himself.59．The power of a letter from Don Wolfe.60．Students’ own answer.61．书面表达One possible version:Dear Andy,How are you doing these days? I'd like to tell you something about the Campus Book Fair in my school, which is a favorable activity to celebrate World Reading Day. It was held on the afternoon of last Thursday in order to encourage teachers and students to read more. The latest books of different types brought by the booksellers were displayed for us to read and purchase. Teachers and students also so1d or exchanged their used books. The most attractive part of the activity is the communication about reading, in which we shared our ideas about books and life, and in return we made friends and gained knowledge and pleasure. I like the fair very much, which not only introduce us a lot of interesting books but allowed us to buy books at a lower price. Do you have similar activities in your schoo1?Looking forward to your early reply.Yours,Li Jin- 21 - / 21。
天津市第一中学2020届高三下学期第四次月考英语试题Word版含解析
天津市第一中学2020届高三下学期第四次月考英语试题Word版含解析2019-2020-2 天津一中高三年级第四次月考英语听力测试卷A第一节（共5 小题；每小题1 分，满分5 分）听下面五段对话。
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，你将有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. Which color does the man prefer?A. Blue.B. Red.C. White.2. Where does this conversation probably take place?A. At a repair shop.B. At a gas station.C. In a parking lot.3. What do we know from this conversation?A. The wind has stopped.B. The rain has stopped.C. It is still raining.4. What does the woman tell us about Paul?A. He spends too much money.B. He likes expensive watches.C. He really does like television.5. What is the most probable relationship between the speakers?A. Schoolmates.B. Colleagues.C. Partners.第二节（共10 小题；每小题1.5 分，满分15 分）听下面几段材料。
每段材料后有几个小题，从题中所给的A、B、C 三个选项中选出最佳选项，并标在试卷的相应位置。
听每段材料前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5 秒钟的作答时间。
【天津市第一中学】2017届高三月考英语试卷(四)(附答案与解析)
天津市第一中学2017届高三月考英语试卷（四）A卷第一节（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.例:How much is the book? ________A．€2.15.B．€5.20C．€20.15答案为C.1．What relation is the boy to the girl? ________A．Her student.B．Her workmate.C．Her classmate.2．How does the man usually go to work? ________A．On foot.B．By car.C．By bike.3．What is the woman’s opinion on the restaurant? ________A．Everything there is great.B．She doesn’t like the food.C．The service is disappointing.4．What probably is the time now? ________A．8: 00.B．7: 40C．7:20.5．How much will the woman pay for the apples? ________A．$38．B．$36．C．$32．第二节（共10小题;每小题1.5分,满分15分）请听下面3段材料.每段材料后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试题卷的相应位置.听每段材料前,你将有时间阅读每个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间.每段材料读两遍.听下面一段对话,回答第6、7题.6．Where will the meeting be held? ________A．In a library.B．In an office.C．In a hotel.7．How many people will attend the meeting? ________A．50.B．60.C．70.8．Why does the woman call the man? ________A．To inform him of the changes.B．To persuade him to give a speech.C．To invite him to a meeting.听下面一段对话,回答第9至第11小题.9．How many classes are there in the man’s school? ________A．20B．30C．4010．When is the cooking group open to students? ________A．On Tuesday.B．On Wednesday.C．On Friday.11．What will the man do next? ________A．Play computer games.B．Get sports training.C．Take a class.听下面一段独白,回答第12至第15小题.12．When was the BBC established? ________A．In 1792B．In 1897.C．In 1927.13．What did the original organizers value most about the BBC? ________ A．Profits.B．Independence.C．Position.14．Who can influence the BBC’s programs? ________A．The government.B．The audience.C．The advertisers.15．Which of the following are supported by the government? ________A．World-service programs.B．Educational programs.C．Domestic political programs.B卷第一节（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三个选项中选出最佳选项,并标在试卷的相应位置.听完每段对话后,你将有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. 例:How much is the book? ________A．€12.15B．€15.20C．€20.15答案为C.1．Why does the man make the call? ________A．To inform the doctor of his delayB．To ask someone to repair his car.C．To make an appointment2．Where will the woman probably go? ________A．Korea.B．Japan.C．China.3．How often will the man exercise in summer? ________A．Three times a week.B．Five times a week.C．Six times a week.4．What are the speakers mainly talking about? ________A．The weather.B．The plan for Sunday.C．Their families.5．What does the woman mean?A．She is supposed to go now.B．The deadline is approaching soon.C．She handed in her paper two days ago.第二节（共10小题:每小题1.5分.满分15分）听下面3段材料.每段材料后有几个小题,从题中所给的A、B、C三个选项中选出一个最佳选项,并标在试卷的相应位置.听每段材料前,你有时间阅读每个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间.每段材料两遍.听下面一段对话,回答第6至第8小题.6．What is the woman’s plan? ________A．Expand her house.B．Paint her house.C．Buy a new house.7．What is Don’s job? ________A．A pilot.B．A famous musician.C．A dentist.8．Where is the woman going now? ________A．Her home.B．Her office.C．The store.听下面一段对话,回答第9至第11小题.9．What does the woman want to learn this summer? ________A．Gardening.B．Driving.C．Computer.10．Why doesn’t the woman choose Ideal Life School? ________A．The charge is high.B．The learning period is too long.C．There are no classes suitable for her.11．How much should the woman pay for studying in Going Training School? ________A．$3 200.B．$3 000.C．$2 800.听下面一段独白,回答第12至第15小题.12．What is the man talking about? ________A．His career life.B．His after-work activities.C．His success as an expert climber.13．What is the man going to do next year? ________A．Climb the Alps with his wife.B．Enter for the London Marathon.C．Complete a course of climbing.14．When did the man do easy climbs in the Alps? ________A．A few months ago.B．Last year.C．Several years ago.15．What can we learn from the conversation? ________A．The man’s wife doesn’t like climbing.B．The man is still not good at ice climbing.C．The man prefers climbing to running.第Ⅰ卷选择题（共95分）第一部分:英语知识运用（共两节,满分45分）第一节单项填空（共15小题,每小题1分,满分15分）从A、B、C、D四个选项中,选出可以填入空白处的最佳选项.例:Stand over there ________you’ll be able to see it better.A．or B．and C．but D．while1．---Excuse me, Miss, but may I share your table?---Of course. ________.A．Not at all B．Be my guest C．As you wish D．I don’t mind2．If you want to see a doctor, you fix a date with him ahead of time. That is a common ________in the USA．A．view B．exercise C．practice D．reality3．Every classroom in this modern school is ________with a new TV set on the wall and a computer on the teacher’s desk.A．equipped B．decorated C．fixed D．placed4．The debate here will be limited in two main respects, ________the time available.A．in view of B．in return for C．in addition to D．in comparison with 5．________to her own work, she spent little time with her family.A．Devoting B．To be devoted C．Devoted D．Having devoted 6．---Are we about to have dinner?---Yes, it ________in the dinning room.A．serves B．is serving C．is being served D．has been serving 7．Was it because the traffic was very heavy during the rush hours ________you were late again?A．when B．why C．which D．that8．John, ________money was now no problem, started a new company with his friends.A．for whose B．of whose C．of whom D．for whom9．---Are you ready to leave?---Almost, I’ll be ready to go just as soon as I ________putting the clean dishes away.A．get through B．give up C．carry out D．set about10．---Have you heard from Janet recently?---No, but I ________her over Christmas.A．saw B．will be seeing C．have seen D．have been seeing 11．Who did the teacher have ________an article for the wall-newspaper just now?A．written B．writing C．to write D．write12．---Don’t look down upon Bob. He has his own advantages.---Oh, yes, ________others are weak, he is strong.A．Before B．When C．Where D．Though13．---This free gift doesn’t look good.--- ________, madam, but if you want good quality, you have to pay for it.A．No doubt B．No offence C．No problem D．No way14．They carry out ________checks on milk products to make sure that they are of high quality.A．common B．natural C．ordinary D．regular15．I’m sorry. ________for my illness, I would have come and lent you a helping hand.A．Were it not B．If it were not C．Had it not been D．If has not been第二节完形填空（共20小题;每小题1.5分,满分30分）阅读下面短文,掌握大意,然后从16~35各题所给的A、B、C、D四个选项中,选出最佳选项.Armed with a bachelor’s degree in medicine, I left Jammu, my hometown, for Delhi hoping to find a good job. Those were testing time --- I was 16 my resume at every hospital and clinic in the capital, and facing upsetting 17 responses. These big-city folks seemed too busy to care about a 23-year-old, jobless girl. Then a friend told me about the “Technical Recruitment Cell”, 18 near the Income Tax Office （ITO）, where I could 19 for a government job.The next day I reached the ITO area and 20 in the sun for an hour asking everybody for the Technical Recruitment Cell, but no one had any idea 21 it was.It was 22 , and the heat unbearable. I then reached a big book shop, full of books on law and finance. Maybe I’ll 23 inside, I thought as I walked in and found a man aged about 40 busy at his PC．24 him, I asked if he knew the address. Seeing me drenched in sweat（大汗淋漓）,he asked me to take a 25 and offered me a glass of water. He then googled “Technical Recruitment Cell”, but without 26 . I must have looked frustrated.“Don’t get 27 .” he said, as he continued his search. “We’ll find it.”He’d spent several minutessearching when an older man. Who also 28 in the shop, came by and asked us what we were looking for.“Beta, it might be the Delhi Subordinate Board,” he suggested. “They 29 people for government posts.”We searched for that and found it 30 --- actually the Delhi Subordinate Services Selection Board. They then gave me a printout of the 31 .“What do I 32 you for the Internet time and the printout?” I asked the first gentleman.“Oh, nothing. Good luck!”“Thank you,” I said to the pair. The older man then told me the 33 of the bus that would get me there, the fare, even the best 34 to take, finally saying “God bless you!” as I walked out.I was happy in the discovery that not all city folks are too 35 to help other.16．A．dropping B．reviewing C．sending D．examining 17．A．admirable B．negative C．enthusiastic D．professional 18．A．adapted B．adopted C．situated D．covered 19．A．wait B．register C．prepare D．make 20．A．tolerated B．prayed C．looked D．wandered 21．A．when B．why C．where D．how 22．A．discouraging B．thrilling C．inspiring D．entertaining 23．A．read B．meet C．ask D．think 24．A．Troubling B．Interrupting C．Impressing D．Embracing 25．A．walk B．breath C．try D．seat26．A．luck B．doubt C．wonder D．delay 27．A．cautious B．upset C．lost D．regretful 28．A．rested B．played C．listened D．worked 29．A．train B．arrange C．immediately D．formerly 30．A．slowly B．calmly D．immediately D．formerly 31．A．name B．telephone C．position D．address 32．A．owe B．charge C．demand D．thank 33．A．chance B．test C．route D．prize 34．A．chance B．test C．route D．prize35．A．rich B．generous C．eager D．busy第二部分阅读理解（共20小题:每小题2.5分,满分50分）阅读下列短文,从线题所给的A、B、C、D四个选项中,选出最佳选项.AChildren’s Activities（6---13 years）---Sumer 2017There is no chance of children getting bored in the holidays with these action-packed weeks of fun and games. Days begin with team building activities to help “break the ice” and get the children in the mood. The wonderfully safe and secure environment of Port Regis enables the children to explore the woods and enjoy their own creativeplay.WEEK 1: Festival of Sport（Monday 22nd July to Friday 26th July）The summer activities kick-off with a wonderful week of sporting fun including cricket, athletics and other great team games. Swims in the pool and games in the gym.WEEK 2: Let’s Go Wild（Monday 29th July to Friday 2nd August）A whole week in the great outdoors with treasure hunts, camp bed and cave building along with amazing team games in woods. This week guarantees to be like no other. Navigate yourself through the huge spider s’ web and guide balls through the huge ball maze… this is a great week for making new friends.WEEK 3: Sporting Madness（Monday 5th August to Friday 9th August）A wild and strange week of tournaments and team （both traditional and a few of the homemade variety）games, but be warned, you might get wet! Arts and crafts, fun in the gym and swims in the pool make this a hard week. Besides exhaustion, you’d better learn to get used to challenges and accept any result. Activities will be dependent on the weather.WEEK 4: Make a Racquet（球拍）（Monday 12th August to Friday 16th August）What a racquet this week brings with all the bat. Racquet and club sports you could wish for… crazy golf, tennis, badminton, cricket and table tennis to name but a few for the children to enjoy.WEEK 5: Having a Ball（Monday 19th August to Friday 23rd August）Quizzes, arts and crafts, fun in the gym and swims in the pool are not to be missed within this week of fun.WEEK 6: Medal Medley（混战）（Tuesday 27th August to Friday 30th August）This week re-runs the best bits of the last five weeks with great team games and toumments, action-packed all sports, floaty fun in the pool and adventures in the woods.Swimming kit, plenty to drink and break snacks. Dependant on the weather, children will need either sunscreen and sun hats or wet weather gear.36．What can we learn from the first paragraph? ________A．Children will gradually adapt to the cold weather in the activities.B．Children will form a good mood naturally in Port Regis School.C．Children will explore nature to tally on their own in the secure environment of Port Regis.D．Children will become comfortable with each other through team building activities.37．Which activity will be unique? ________A．Make a Racquet.B．Let’s go wild.C．Festival of sport.D．Sporting madness.38．According to the passage, WEEK 3 will be a week when ________.A．children may experience the feeling of failureB．all the games may be played indoorsC．children may get warned for failing in gamesD．children may swim in the river in the wild39．When can children review the activities they had before? ________A．29th July to 2nd August.B．Thursday 27th July to Friday 30th August.C．Tuesday 27th August to Friday 30th August.D．Monday 19th August to Friday 23rd August.40. What information can we learn from the passage? ________A．Children will be provided with snacks to eat.B．Children must wear sunscreen or sunhats.C．Children need to prepare for rainy day.D．Children have to drink a lot for swimming.BWilliam Purkey, a well-known professor of education, said, “Dance like no one is watching, love you’ll never be hurt, sing like no one is listening, and live like it’s heaven on earth.” It seems like the perfect life philosophy --- and one I’ve learned to apply to running over the year.But I didn’t always feel this way. In my early days, when I weighed 240 pounds, I ran like everyone was watching —and judging. If I was on a run and saw a car approaching, I’d stop and pretend I was looking for something I’d lost. I bought the high-tech gear and clothes that I thought would make people believe I was a runner. And I didn’t have a clue if the expensive shoes I was wearing were the right kind for me --- I just wanted to look like I fit in with this group.To be honest, I felt a certain satisfaction in believing that someone was watching. I really thought that other people cared about my performance. The best example of this was a combined, two-lap marathon in Florence, Italy. As I approached the finishing line, the crowd began to cheer. I was surprised. Here I was, thousands of miles from home, and the Italians were shouting for “IIPenguino.”About 20 years from the finishing, the truth set in when the winner of the full marathon went past me as I was finishing the half – marathon. No one was cheering for me. No one probably even noticed that I was finishing. I couldn’t help but smile at my own illusion of self-importance.That’s when I realized I had been running for every reason except the right one. I ran to make other people happy, ran to live up to their expectations. But no one was watching ---no one cared. So I decided I was going to run for me—just me—and gained a new enjoyment from the sport I hadn’t truly experienced yet. I’ve learned to run like no one is watching.So if you see me at race, and I look like a 60-year-old guy waddling（蹒跚）along, don’t worry. I’m fine. The miracle isn’t that I finished. The miracle is that I had the courage to start.41．The writer presents the passage by ________.A．telling his running storyB．explaining a life philosophyC．listing some life rulesD．introducing quotations42．It can be inferred from paragraph 2 that the writer ________.A．used sports clothes and shoes to attract attentionB．was concerned about what others thought of herC．liked to be the focus of other runnersD．struggled to find the right shoes to fit her43．When the writer was near the finishing line, ________.A．she smiled at her own achievementB．the crowd cheered for her madlyC．nobody really cared about her runningD．she realized the importance of confidence44．Now the writer thought the reason for running is to ________.A．live up to others’ expectationB．create a miracle in her own lifeC．run like no one is watchingD．enjoy the pleasure of running45．By telling her own story, the writer wanted to ________.A．tell us to live a life of our ownB．inspire more people to runC．expect us to improve our health by runningD．stress the importance of determinationCSoaping up your hands may do more than just get rid of germs. It may wash away the inner confusion you feel right after being forced to make a choice between two appealing choices, according to a new study. The study builds on past research into a phenomenon known as “the Macbeth effect”.It turns out that Shakespeare was really onto something when he imagined lady Macbeth trying to clean her conscience（良心）by rubbing invisible bloodstains from her hands. A few years ago, scientists asked people to describe a past wrong act. If people were then given a chance to clean their hands, they later expressed less guilt than people who hadn’t cleaned.This finding fascinated W. S. Lee, a researcher. “Anything from the past, any kind of negative emotional experiences, might be washed away,” says Lee.He decided to test hand washing’s effect on one kind of bad feeling: the tension we feel after being forced to choose between two attractive choices, because picking one choice makes us feel that we’ve lose the other. People usually try to calm this inner conflict by later exaggerating（夸大）the positive aspects of their choice.He had students rank 10 different music CDs. Then be offered students one CD as a gift. Some students then use liquid soap. Others only looked at the soap or sniffed（噢）it. “Actually, you do not need water and soap,” says Lee.Later, the students again had to rank all the music. People who didn’t wash their hands had the normal response --- they scored their take-home CD higher. Suggesting that they now saw it as even more attractive than before. But this wasn’t true for the hand washers. They ranked the music about the same…“they feel no need at all to justify the choice,” say Lee.But the implications of it just aren’t clear. Schwarz says it’s too soon to know whether people should head for a sink after making a tough choice. He says washing may help decision-makers by cleaning away mental disorder, but perhaps if they don’t go through the usual post-decision process of justifying their choice, they might feel more sorrow in the long run.46．The Macbeth effect refers to the fact that ________.A．Shakespeare did scientific research before writing MacbethB．soaping up one’s hand may help wash away the inner confusion and make a decisionC．people feel less guilty by getting rid of invisible germs from their handsD．people feel less ashamed after washing their hands47．According to Lee, after people make the choice ________.A．they will overstate the goodness of their chosen choiceB．they will feel regretful for not choosing anotherC．they will feel free due to the feeling of losing the other choiceD．they will think nothing of their chosen choice any more to calm their inner conflict48．According to Lee, the hand washers consider the judgment of choice ________.A．more scientificB．unnecessaryC．a little convincingD．absolutely useless49．What does Schwarz need to research more? ________A．Whether people need to justify their choiceB．Whether people feel more sorrow after washing hands.C．Whether washing hands help over a long period of time.D．Whether washing hands is helpful to make a choice.50. What might be the most suitable title for the passage? ________A．Is Washing Hands Necessary to Defeat Tension?B．Washing Hands Washes Our MindC．Washing Hands Helps Make a Better ChoiceD．Washing Hands Reduces the Stress of DecisionDIf you feel yourself turning into an old grouch（脾气坏的人）,don’t worry --- happiness is just around the bend.A survey has found that although happiness dips in those in their 30s and 40s, people start to feel more content with life after the age of 50.However an economist found that older people will never again regain the excitement of youth. Rather it is thought that with age, individuals become more pragmatic about the ups and downs that life brings and accept their fortune.He questioned those in Britain, Switzerland and Germany and applied the findings to people’s life cycle.Mr. Van Landeghem, 29, said: “A happiness curve does not necessarily imply that a 65-year-old prefers his own life to the life of a 25-year-old.”“Both the 25-year-old and 65-year-old might agree that it is nicer to be 25 than to be 65．But the 65-year-old might nevertheless be more satisfied, as he has learned to be satisfied with what he has.”It was suggested the mid-life happiness dip is because this is when people have the most responsibilities --- taking care of a family, paying a mortgage（抵押贷款）and having a demanding career. The middle-aged dip in happiness was also compared to that of losing a close relative or suddenly becoming unemployed.The study is just one of many put forward as an indicator of what makes for a happy life.Psychologists concluded that having money makes you happier, but only if you have a lot more than your friends and neighbors. At the same time, you’d better have enough time to enjoy yourself instead of spending all your time on making money.Separate research found that owning the house of your dreams, the car you always longed for and having millions in the bank doesn’t stop that desire to keep up with the Joneses. （攀比）And if the Joneses have more than you do, you’ll be miserable. It seems envy at being lower in the social pecking order （权势等级）reduces the satisfaction of being well off.If you just do what you love and you are good at, which society also values much, you may have a higher probability to be happy. But if your job pays less, how can you stick to it in disregard of responsibilities? Happiness means different things from different points of view, and point of view grows from one’s experience and knowledge. Perhaps it comes with you when you don’t need to think about adult problems or when you are wise enough to understand what satisfaction is.51．He underlined word “pragmatic” in paragraph 2 may mean ________.A．realisticB．concernedC．nervousD．careful52．According to the passage, people in their 30s and 40s ________.A．may feel it more difficult to experience happinessB．may sense happiness declines owing to other complicated factorsC．start to realize responsibility and risk mean happinessD．may associate happiness with money and status and risk pursuing happiness53．It is implied in the passage that ________.A．happiness comes when you complain lessB．life is full of ups and downs in factC．a sense of responsibility brings you happinessD．competing with others often makes you blue54．What makes for a happy life? ________A．One’s family.B．One’s money.C．One’s wisdom.D．One’s status.55．The best title for the passage may be ________.A．happiness is U-shapedB．happiness is an experienceC．happiness makes you satisfiedD．happiness can be won by yourself第Ⅱ卷非选择题（共35分）第三部分:写作（共两节,满分35分）第一节阅读表达（共5小题;每小题2分,满分10分）阅读短文,按照题目要求英语回答问题.On my first job as sports editor for the Montpelier Leader Enterprise （MLE）, I didn’t get a lot of fan mail, so my attention was caught by a letter on my desk one morning.When I opened it, I read: “Sweet piece of writing on the Tigers. Keep up the good work.” It was signed by Don Wolfe, the sports editor. Because I was a teenager （being paid the grand total of 15 cents a column inch）, his words could not have been more inspiring. I kept the letter in my desk drawer until it got old. Whenever I doubted I had the right stuff to be a writer, I would reread Don’s note and walk on air again.Later, when I got to know him, I learned that Don made a habit of writing a quick, encouraging note to people in all walks of life. “When I make others feel good about themselves,” he told me, “I feel good, too.”Over the years, I’ve tried to copy Don and write uplifting words. In a world too often cold and unresponsive, such notes bring warmth.Why are positive note writers in such short supply? My guess is that many who shy away from the practice are too self-conscious. They are afraid they will be misunderstood. Thus it may cause troubles and problems. And it sounds insincere on the phone. Also, writhing takes time; it is far easier to pick up the phone.The drawback of phone calls, of course, is that they do not last. A note attaches more importance to ourwell-wishing. It is a matter of record, and our words can be read more than once, savored（回味）and treasured, and they bring strength and love to us.Today I sent a warm letter to my old boss. I don’t know if it will make his day, but it made mine. As my friend Don Wolfe said, “Making others feel good about themselves makes me feel good too”.56．What does the underlined part “walk on air” in Paragraph 2 probably mean?（No more than 5 words）57．According to the author, why aren’t people willing to write letters?（No more than 15 words）58．Why did the author write to his old boss? （No more than 15 words)59．What’s the text mainly about? （No more than 10 words）60．Were you encouraged by anybody? And how?（No more than 25 words）第二节书面表达（共1小题,满分25分）假设你是李津,随着世界读书日的临近（4月23日）,你所在的学校举办了一次“校园书（Campus Book Fair）”活动.你很喜欢这次活动,想将活动情况向你的英国笔友安迪进行介绍,请写一封电子邮件,内容包括: 1．活动的目的:举办的时间、地点;2．活动项目:读书交流、旧书交换或出售以及新书展销;3．你的个人感受,并询问安迪他所在地有关世界读书日的相关活动情况.注意:1．词数不少于100;2．开头和结尾已经写出,不计入总词数;3．可以适当增加细节,以使行文连贯;4．世界读书日:World Reading Day or World Book and Copyright Day.Dear Andy,How are you doing these days?Looking forward to your early reply.Yours,Li Jin天津市第一中学2017届高三月考英语试卷（四）试卷A1~5．CBCBA 6~10．CBACA 11~15．CCBBA试卷B1~5．AACBB 6~10．ACCBC 11~15．CBBCA单项填空1~5．BCAAC 6~10．CDDAB 11~15．DCBDC 16~20．ABCBD21~25．CACBD 26~30．ABDCC 31~35．DABCD 36~40．DBACC41~45．DBCDA 46~50．DABCD 51~55．ABDCA56．Become confident. / Feel good about himself. /Become uplifted.57．Because they may be self-conscious, and writing may cause misunderstanding, and also take time.58．To encourage him, make him feel good and also the same to the writer himself.59．The power of a letter from Don Wolfe.60．Students’ own answer.61．书面表达One possible version:Dear Andy,How are you doing these days? I'd like to tell you something about the Campus Book Fair in my school, which is a favorable activity to celebrate World Reading Day. It was held on the afternoon of last Thursday in order to encourage teachers and students to read more. The latest books of different types brought by the booksellers were displayed for us to read and purchase. Teachers and students also so1d or exchanged their used books. The most attractive part of the activity is the communication about reading, in which we shared our ideas about books and life, and in return we made friends and gained knowledge and pleasure. I like the fair very much, which not only introduce us a lot of interesting books but allowed us to buy books at a lower price. Do you have similar activities in your schoo1?Looking forward to your early reply.Yours,Li Jin。
天津市武清区杨村第一中学2024-2025学年高三上学期第一次月考英语试卷
天津市武清区杨村第一中学2024-2025学年高三上学期第一次月考英语试卷一、单项选择1．— Mum, I gained a full mark in the first English test.— _________! Your hard work in the summer holidays was finally repaid.A．Good luck B．Good for you C．Go ahead D．Good idea2．I try my best at school to live up to my parents’ expectations in order that I will not ________.A．turn them down B．let them down C．make them up D．help them out 3．He performed beyond everyone’s ________ with his accurate shooting and continuous efforts.A．comprehension B．description C．expectations D．expression4．The Chinese people______the spring festival with a wide range of events.A．spend B．present C．observe D．appreciate5．The poet’s strong love for his country is________ in his recent published poems.A．awarded B．reflected C．recognized D．recovered6．If you have health examination________, any disease you may have can be discovered early.A．regularly B．particularly C．gradually D．typically 7．People were left________ when they saw the flood water rising so fast.A．in particular B．in panic C．in sight D．in order 8．—That important document is nowhere to be seen.—Don't worry! You ___________ it somewhere. Calm down and think it over.A．might leave B．might have left C．should leave D．should have left 9．Although the scientist is over 80 years old, he still devotes himself to his research, ______ moved many people greatly.A．which B．what C．that D．where10．______ impressed me most was that those disabled athletes tried their best to compete in the games.A．That B．It C．What D．Which11．_______ arguments over “stupid things” now and then, Alistair agrees that having a brother isan advantage.A．Although B．Despite C．While D．Whether12．A fisherman claimed to have witnessed a giant sea turtle this morning _______ almost two meters long.A．measured B．having measured C．measuring D．to be measured 13．—Haven’t seen you for ages! Where have you been?—I went to Ningxia and_______there for one year, teaching as a volunteer.A．had lived B．live C．am living D．lived 14．（2018·江苏）Around 13,500 new jobs were created during the period, _______ the expected number of 12,000 held by market analysts.A．having exceeded B．to exceedC．exceeded D．exceeding15．— I’m afraid I can’t win the competition.— Don’t worry. As long as you _________, you will make it.A．go all out B．play safe C．take the lead D．take your time二、完形填空My faith in human nature has never been so great as it was last weekend after our family get-together in the town of Vail.On Saturday, we all went to the market right in the middle of the town. Near the end, we all16 at the fountain near the bridge, and the kids waded（蹚水）around in the fountain until we17 . This is one of the busiest walking streets.After we returned to the hotel late in the afternoon, my 7-year-old son Ponder 18 that nowhere could he find his backpack, which 19 his Gameboy and his watch. After a thorough 20 we determined that he must have left it at the fountain.Ponder has never 21 anything. So we just take for granted that he needs no supervision（指导）for managing his 22 .He was upset, not about the Gameboy, but about the watch. "But Dad," he said, through massive 23 , "they don't make that kind of watch anymore." We were all very 24 .Our dinner reservation was at a restaurant just on the other side of the bridge, so I 25him that we would not only search the area around the fountain when we went back for dinner, but we would also find the police and ask them if the backpack had been 26 .As we exited from the parking garage, we could see the fountain as we walked down the long staircase. I saw something black 27 there, but it was right next to a woman standing by the fountain, so I could not 28 what it was or if it was hers."See it, Dad?" Ponder shouted. "Don't get too 29 because that may not be it," I said. But that was it. It had been five or six hours since we left the fountain, and it was 30 there. There was no ID in it, and it looked like someone had looked through it and then set it right out where all could 31 it.I literally 32 when we reached it and it was his！Everyone in our party was blown away by this "miracle（奇迹）". In my wildest 33 , I would never have imagined that this could happen nowadays.What a charmed life, eh? I believe this was a perfect 34 for a child in losing something important…to lose it and feel the full 35 of that loss, and then to miraculously get it back.16．A．drove B．hiked C．met D．united 17．A．landed B．left C．settled D．slept 18．A．responded B．recognized C．realised D．recalled 19．A．contained B．combined C．comprised D．covered 20．A．preparation B．checkup C．revision D．search 21．A．wasted B．lost C．sough D．deserted 22．A．emotion B．time C．money D．stuff 23．A．tears B．fists C．reliefs D．outbreaks 24．A．hesitant B．curious C．sad D．eager 25．A．promised B．informed C．warned D．taught 26．A．worn out B．caught up C．put away D．turned in 27．A．hiding B．sitting C．swinging D．flowing 28．A．assess B．declare C．tell D．predict 29．A．excited B．puzzled C．relaxed D．amused 30．A．already B．even C．almost D．still31．A．take B．see C．touch D．protect 32．A．panicked B．exploded C．collapsed D．cried 33．A．dreams B．claims C．efforts D．passions 34．A．mode B．lesson C．option D．plot 35．A．range B．pressure C．weight D．harvest三、阅读理解The popularity of studying abroad is growing increasingly, and what are growing along with it are the people who want to share their experiences and the amount of information available. Here are some blogs that can help you if you plan to study abroad.“From I to U” Overseas Study Abroad BlogAmong thousands of colleges in the USA, Indiana University’s Office of Overseas Study is by far the best at promoting studying abroad. Students of Indiana University write blogs each term. They provide hands-on information about their locations, academic interest and cultural experiences on the “From I to U” Overseas Study Abroad Blog in an effort to help you earn IU credits in over 37 countries. Not an IU student? Check it out anyway.CIS AbroadLike most other study abroad organizations, CIS Abroad is committed to giving you the best value in studying abroad, i.e. affordability, support, cultural immersion (沉浸) and academic relevance. What most people find unique about CIS is their La Vida Local culture series, which aims to help you see where the locals eat, shop and hang out. You can also learn to understand the culture in your host country.Abroad101 BlogIt is the first and largest study abroad review website. Founded in 2007, Abroad101 providesin-depth study abroad reviews and listings of thousands of study abroad programs. It has a wealth of information covering study abroad news, stories, and advice.CEA Study Abroad CEA prides itself on making the administrative aspect of studying abroad as easy as possible for you. Along with helping you find the right program and financial aid, it also helps you know the student visa process, select housing, prepare for your health and safety in your host country, and make sure your credits transfer (转到) to your home university.36．Who would most probably be attracted to the “From I to U” Overseas Study Abroad Blog?A．Non-IU students who want to share their life.B．Teachers of Indiana University who love sharing stories.C．Students interested in Indiana University’s students’ life.D．Parents wanting to get professional views on studying abroad.37．What’s the purpose of the La Vida Local culture series?A．To help students learn about local life.B．To advertise the traditional local culture.C．To encourage students to adopt a healthy lifestyle.D．To tell about differences among different cultures.38．Where can students find many study abroad programs?A．On CIS Abroad.B．On Abroad101 Blog.C．On CEA Study Abroad.D．On “From I to U” Overseas Study Abroad Blog.39．What is a feature of CEA Study Abroad?A．Making students feel proud of themselves.B．Putting foreign students’ health and safety first.C．Helping students with the administrative process.D．Helping students gain enough credits in key subjects.40．What is the text meant to do?A．To encourage students to study abroad.B．To recommend some study abroad blogs.C．To help international students adapt to their new life.D．To call on people to share experiences of studying aboard.Growing up as a kid in the UK, I was fascinated by insects. Wanting to protect them, I started building houses for ants, using little pieces of wood and leaves. I then moved on to making little cups and saucers from silver foil (箔纸) for the magical creatures. When seeing my work, my mother told me that the smaller I made things, the bigger my name would become.As the years went by, my designs became more complicated. Making sculptures isn’t actually enjoyable. I sometimes work for 16 hours a day without breaks, and it takes me up tothree months to finish a sculpture. I have to hold my breath during the sculpting process.One time, a fly landed on a Cinderella carriage sculpture I was working on. The fly’s wings blew it away, and it was lost. I was heartbroken. Another time, I accidentally breathed in a microscopic Alice from Alice in Wonderland. Alice is now in the Wonderland forever. But it did give me the chance to make an even better one the second time around.My sculptures have taken me to incredible places. In 2012, I met the queen, giving her a crown on the head of a pin. In 2013, I received my first Guinness World Record for creating the smallest sculpture by hand, a 24- carat gold motorbike that fitted inside a hair. In 2017, I beat my record with a sculpture of a human fetus (胎儿) that measured 0. 078 mm by 0. 053 mm.I was diagnosed with autism (自闭症) as an adult. In school, my teachers had pointed me out as an example of failure; now, I see my autism as a gift. It’s pushed me to be the best I can be.I hold workshops in schools for neurodiverse children, sharing my story and helping them create their own miniature figures.The microscopic world has always been my happy place. I’ve tried to make bigger sculptures, but small- is best for me. We need to appreciate the little things in life. Small things can also be mighty, too.41．What drove the author to make tiny sculpture at the beginning?A．His interest in insects.B．His desire to make a name.C．His dream of setting a record.D．His awareness of wildlife protection. 42．Which of the following can best describe the author’s sculpting process?A．Eventful and enjoyable.B．Complex and frustrating.C．Money- wasting but entertaining.D．Time- consuming but fulfilling. 43．Which is NOT the theme of the author’s sculptures?A．Houses for ants B．Little cups and saucers.C．Fairy tales.D．Historical events.44．How does the author deal with his autism now?A．He receives medical treatment.B．He takes full advantage of it.C．He regards it as the source of failure.D．He shares it and asks help from others. 45．What message does the author mainly convey through the text?A．Great art comes at a cost of loss.B．Childhood experiences sculpt a career.C．Minor things in life can carry weight.D．Hard work contributes to great achievements.For decades, scientists thought of the brain as the most valuable and consequently most closely guarded part of the body. Locked safely behind the blood-brain barrier, it was broadly free of the harm of viruses and the battles started by the immune system (免疫系统). Then, about 20 years ago, some researchers began to wonder: is the brain really so separated from the body? The answer, according to a growing body of evidence, is no.The list of brain conditions that have been associated with changes elsewhere in the body is long and growing. Changes in the makeup of the microorganisms in the digestive system have been linked to disorders such as Parkinson’s disease. There is also a theory that infection during pregnancy could lead to brain diseases in babies.The effect is two-way. There is a lengthening list of symptoms not typically viewed as disorders of the nervous system, but the brain plays a large part in them. For example, the development of a fever is influenced by a population of nerve cells that control body temperature and appetite. Evidence is mounting that cancers use nerves to grow and spread.The interconnection between the brain and body has promising implications for our ability to both understand and treat illnesses. If some brain disorders start outside the brain, then perhaps treatments for them could also reach in from outside. Treatments that take effect through the digestive system, the heart or other organs, would be much easier and less risky than those that must cross the blood-brain barrier.It also works in the opposite direction. Study shows mice have healthier hearts after receiving stimulation to a brain area involved in positive emotion and motivation. Activation of the brain reward centre — called the ventral tegmental area (VTA) — seems to cause immune changes that contribute to it. Working out how this happens could help to destroy cancers, enhance responses to vaccines and even re-evaluate physical diseases that, for centuries, have not been considered as being psychologically driven.46．What do the researchers focus on about the brain?A．Its protecting system.B．Its exposure to diseases.C．Its controlling function.D．Its connection to the body.47．How does the author support his idea in paragraph 2?A．By explaining a theory.B．By providing examples.C．By making comparisons.D．By presenting cause and effect. 48．Which best describes treatments that do not cross the blood-brain barrier?A．Cheaper.B．More specific.C．Safer.D．More direct.49．What does the study suggest in the last paragraph?A．Brain health depends on immune changes.B．Brain stimulation leads to negative emotions.C．The brain can help enhance psychological health.D．The brain may be key to treating physical diseases.Lao Zi once said, “Care about what other people think and you will always be their prisoner. ”People-pleasing, or seeking self-worth through others’ approval, is unproductive and an exhausting way to go through life. Why do we allow what others think of us to have so much power over how we feel about ourselves? If it’s true that you can’t please all people all of the time, wouldn’t it make sense to stop trying?Unfortunately, sense often isn’t driving our behavior. For social beings who desire love and belonging, wanting to be liked, and caring about the effect we have on others, is healthy and allows us to make connections. However, where we get into trouble is when our self-worth is dependent on whether we win someone’s approval or not.This need to be liked can be traced back to when we were children and were completely dependent on others to take care of us: Small children are not just learning how to walk and communicate, they are also trying to learn how the world works. We learn about who we are and what is expected of us based on interactions with others so, to a four-year-old, if Mommy or Daddy doesn’t like him or her, there is the danger that they will abandon them. We need to understand that when we desperately want someone to approve of us, it’s being driven by that little kid part of us that is still afraid of being abandoned.As you become more capable of providing yourself with the approval you seek, your need for external approval will start to disappear, leaving you stronger, more confident, and yes, happierin your life. Jmagine how much time we lose each moment we restrain our authentic selves in an effort to be liked.If we base our worth on the opinions of others, we cheat ourselves of the power to shape our experiences and embrace life not only for others but also for ourselves, because ultimately, there is no difference. So embrace the cliché (老话) and love yourself as you’ll not regret it. 50．What can we conclude from Lao Zi’s quotation?A．We should see through other people’s attempt to make a prisoner of us.B．We can never really please other people even if we try as hard as we can.C．We can never be truly free if we care about others’ opinion of us.D．We should care about other people’s view as much as they care about our own. 51．What will happen if we base our self- worth on other people’s approval?A．Our desire to be loved will be fulledB．Our Identity as social beings will be affected.C．Our life will be unfruitful and exhausting.D．Our sense of self will be sharpened and enhanced.52．What may be the reason for our need to be liked or approved of?A．Our desperate longing for interactions with others.B．Our understanding of the workings of the world.C．Our knowledge about the pain of being abandoned.D．Our early childhood fear of being abandoned.53．What can we do when we become better able to provide ourselves with the desired approval?A．Enjoy a happier life.B．Exercise self- restraint.C．Receive more external approval.D．Strengthen our power of imagination. 54．What does the author advise us to do in the last paragraph?A．Embrace life for others.B．Love ourselves as we are.C．See our experiences as our wealth.D．Base our worth on others’ opinions.阅读下面短文，请根据短文后的要求答题。
2018届天津市第一中学高三下学期第四次月考英语试题+听力(A)
2018届天津市第一中学高三下学期第四次月考英语试题+听力第Ⅰ卷（选择题，共95分）第一部分英语知识运用（共两节，满分45分）第一节单项填空（共15小题；每小题1分，满分15分）从A、B、C、D四个选项中，选出可以填入空白处的最佳选项。
1. — Shall I close die window now before I leave?— ________, I’ll check it myself later.A. No problem.B. No hurry.C. Go ahead.D. Don’t bother.2. My cousin has decided to pursue ________ career in music after his college graduation though his parents don’t agree with ________ decision.A. /; theB. a; theC. a; aD. a; /3. The shopkeeper wanted to sell me the dress for 30 dollars, and I wanted to pay 20 dollars for it, so we ________ on 25 dollars.A. commemoratedB. compromisedC. concludedD. concentrated4. — Do you know Russian?—Yes, I ________ it for two years when I lived in Harbin.A. learnedB. had been learningC. was learningD. have learned5. The new supermarket announced that the first to purchase goods on the opening day ________ get a big prize.A. mustB. willC. shallD. need6. Since I have little work experience, I will have to take a series of unpaid internships ________ I could find my ideal job.A. beforeB. afterC. asD. when7. The young man who was expected to ________ his father’s company, made an unusual decision that he would start his own business.A. hand overB. think overC. go overD. take over8. Some experts fear that too-early ________ to computers will have harmful consequences for children’s development.A. exposureB. extensionC. exhibitionD. expansion9. A passer-by who happened to see the traffic accident was taken to the police station to describe it ________.A. at leastB. in reliefC. at lengthD. on purpose10. A good advertisement, ________ people attach positive meanings, can contribute to the sales of a product.A. for whichB. of whichC. to whichD. on which11. Due to the frequent school shootings, the only way the president could imagine ________ such tragedies was to encourage teachers to carry guns.A. preventingB. to preventC. preventedD. having prevented12. — So you missed the football match held yesterday.—________. I got there 20 minutes before the end of it.A. Not exactlyB. Not likelyC. Not a littleD. Not at all13. Without good instructions of the coach, you will probably ________ a lot of bad habits while you are exercising in gyms.A. pull upB. take upC. pick upD. bring up14. —What were you up to when he went to see you?—I ________ TV for a moment and ________ some housework.A. had watched; didB. had watched; was going to doC. watched; didD. was watching; was going to do15. —Why didn’t you buy an iPhone 8s? It’s the most amazing phone.— I ________, but I didn’t have the money.A. mustB. must haveC. wouldD. would have第二节完形填空（共20小题；每小题1.5分，满分30分）阅读下面短文，从16-35各题所给的A、B、C、D四个选项中，选出最佳选项。
天津市第一中学2021届高三下学期第四次月考英语试题
2020-2021-2天津-中高三年级第四次月考英语听力测试卷听力A卷第一节（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三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你将有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。
例: How much is the shirt?A. £19. 15.B. £9. 15C. £9. 181. What do the speakers need to buy?A. A fridgeB. A dinner table.C. A few chairs.2. Where are the speakers?A. In a restaurant.B. In a hotel.C. In a school3. What does the woman mean?A. Cathy won’t be at the party.B. Cathy is too busy to come.C. Cathy is going to be invited.4. Why does the woman plan to go to town?A. To pay her bills in the bank.B. To buy some books in a bookstore.C. To get some money from the bank.5. What is the woman trying to do?A. Finish some writing.B. Print an article.C. Find a newspaper.第二节（共10小题；每小题1. 5分，满分15分）听下面几段材料。
每段材料后有几个小题，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。
天津市天津市第一中学2022届高三英语上学期第二次月考试题(含解析)
第I卷（选择题，共115分）
第一部分：听力测试（共两节，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，并标在试卷相应的位置。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。每段对话后仅读一遍。
【答案】B
【解析】
【详解】考查动词辨析。句意：春节期间，由于安全和噪音污染，我国大部分城市都取消了烟花表演。A. defended辩护；B. cancelled取消；C. burst爆炸；D. broadened拓展。根据句意可知选B。
5பைடு நூலகம்—I ________ so busily recently that I ________ no time to help you with your maths.
A. 2. B. 3. C. 4.
听第9段材料，回答第13至16题。
13. How did the woman probably find the party?
A. Boring. B. Exciting. C. Relaxing.
14. What did the man call the woman for yesterday?
8. What is the woman suffering from?
A. A headache. B. A fever. C. A severe disease.
9. Why didn’t the woman take any medicine?
A. Because she couldn’t find any in her house. B. Because her doctor asked her not to do that.
【天津市第一中学】2017届高三月考英语试卷(四)-答案
天津市第一中学2017届高三月考英语试卷（四）试卷A1~5．CBCBA 6~10．CBACA 11~15．CCBBA试卷B1~5．AACBB 6~10．ACCBC 11~15．CBBCA单项填空1~5．BCAAC 6~10．CDDAB 11~15．DCBDC 16~20．ABCBD21~25．CACBD 26~30．ABDCC 31~35．DABCD 36~40．DBACC41~45．DBCDA 46~50．DABCD 51~55．ABDCA56．Become confident. / Feel good about himself. /Become uplifted.57．Because they may be self-conscious, and writing may cause misunderstanding, and also take time.58．To encourage him, make him feel good and also the same to the writer himself.59．The power of a letter from Don Wolfe.60．Students’ own answer.61．书面表达One possible version:Dear Andy,How are you doing these days? I'd like to tell you something about the Campus Book Fair in my school, which is a favorable activity to celebrate World Reading Day. It was held on the afternoon of last Thursday in order to encourage teachers and students to read more. The latest books of different types brought by the booksellers were displayed for us to read and purchase. Teachers and students also so1d or exchanged their used books. The most attractive part of the activity is the communication about reading, in which we shared our ideas about books and life, and in return we made friends and gained knowledge and pleasure. I like the fair very much, which not only introduce us a lot of interesting books but allowed us to buy books at a lower price. Do you have similar activities in your schoo1?Looking forward to your early reply.Yours,Li Jin- 1 - / 1。
天津市第一中学2019届高三下学期第五次月考英语试题(含答案)
2018--2019--2 天津一中高三年级五月考英语试卷第I 卷（选择题，共95 分）第一部分：英语知识运用（共两节，满分45 分）第一节单项填空（共15 小题；每小题1 分，满分15 分）从A、B、C、D 四个选项中，选出可以填入空白处的最佳选项。
1. --- He traveled around the world alone when he was sixteen years old. --- Wow, . A. that's really something B. good luck.C. I'm with you on thatD. it's not a big deal2. I felt very happy to get a one-month break from work last year I could travel with my family to Paris.A. whereB. whenC. whichD. that3. I'm never going to guess the answer if you don't give me a .A. orderB. signalC. clueD. outline4. --- I beg your pardon, but I didn’t quite catch you. --- Oh, I myself.A. am talking toB. have talked toC. talked toD. was talking to5. No notice should be of what your mother says --- she's just in abad mood. A. paid B. taken C. required D. needed6. It wasn’t right to me that such near neighbors not know one another.A. couldB. wouldC. shouldD. might7. I heard the news on the radio last night there was a terrible storm on the way. A.that B. which C. how D. where8. My mother often makes a schedule to keep herself of what she is to do duringthe day.A. remindB. to remindC. remindedD. reminding9. you exercise regularly as well, you won’t be able to lose weight only by eating less. A. Once B. When C. If D. Unless10. the tower building, where you can see the whole city.A. Standing on the top ofB. If you climb toC. When you reach the top ofD. Get to the top of11. --- Have you seen a red backpack on this seat?--- I saw a man walking away with , but I am not sure whether it is yours. A.one B. it C. that D. the one12. Make sure you have your passport with you all the time in a foreign country, which wouldcause trouble.A. somehowB. meanwhileC. otherwiseD. anyway13. All the students felt discouraged because the exercise was the abilities of most of the class.A. underB. beyondC. againstD. over14. --- Ms. Smith, thank you for inviting us. The food you cooked is very delicious. ---_.A. I practice every dayB. I am glad you like it.C. No, I d on’t think soD. Well, it’s not good enough15. Now the flowers look healthy again. I figure that they would have died if I them two days ago.A. don't waterB. didn't waterC. hadn't wateredD. haven't watered第二节完形填空（共20 小题；每小题1.5 分，满分30 分）阅读下面短文，掌握其大意，然后从31-50 各题所给的四个选项A、B、C、D 四个选项中，选出最佳选项。
天津市第一中学2023-2024学年高三下学期第四次月考英语试卷
天津市第一中学2023-2024学年高三下学期第四次月考英语试卷学校:___________姓名：___________班级：___________考号：___________一、单项选择1．—Have you heard the news that Mrs Smith will be appointed as our head?— _______. She is just an assistant.A．You said it B．By all means C．You don’t say D．You bet2．-You look sleepy today.- ______not to miss the flight, I didn’t dare to close my eyes the whole night.A．Having reminded B．Reminded C．Being remindedD．To be reminded3．Some people think that watching violence on TV is one of the major causes of ______ behavior and crime in society.A．abstract B．ridiculous C．aggressive D．visual4．It is said that body language ________ 55 per cent of a first impression while what you say just 7 percent.A．lies in B．accounts forC．consists of D．goes with5．The magician picked several persons ______ from the audience and asked them to help with his performance.A．at random B．on the whole C．on average D．in general 6．Each means ______to solve the problem, but none is effective.A．have been tried out B．were tried out C．is tried outD．has been tried out7．I advise you to stay away from Mary. Although she is usually easy-going, she ______be quite annoying sometimes.A．can B．need C．must D．should 8．These MBAs are undeniably expensive and ______ pose the question as to how much value and payback they can provide.A．essentially B．absolutely C．consistently D．consequently 9．—Will you take over at the next service area? I want a short rest.—Sure. You ______ for over four hours by then.A．have driven B．have been drivingC．will be driving D．will have been driving10．In schools, it is required that no parent should ______to classrooms during class time.A．have possession B．have connection C．have accessD．have contact11．Don’t let such an unimportant matter as this come between us _____ we can concentrate on the major issue.A．so that B．in caseC．because D．on condition that12．When you visit Beijing, you can go to theaters and teahouses ________ you can experience a truly Chinese way of life.A．that B．which C．where D．when 13．— I’ve been eating a healthy diet for a year.— Oh, great! ______.A．Same to you B．Keep it up C．Cheer up D．Good luck 14．Dr. Hart says ______ he really admires is the way ______ she has acknowledged good health not only makes her more beautiful, but happier too.A．which, that B．that, what C．what, that D．that, which 15．If you see things in a negative light, you will find faults and problems where there are really ______.A．nothing B．some C．many D．none二、完形填空After a whole week of rain we finally had a comfortable, beautiful summer day outside. My family and I were driving to a nearby town when my daughter 16 a yard sale. Then, a few miles down the road, we saw another, and another, and another, We saw tables full of knickknacks. We saw plates, glasses, and silverware. 17 , we saw lots of smiling people talking, laughing, sitting, and standing in the sunshine.Seeing all of this brought back 18 of my childhood. Most of the clothes in my closet back then came from 19 . My mom was a talented yard sale-shopper. When I was little, she would drag me along with her. I used to 20 going to them, until onespecial day when I saw that they also sold old 21 . After that, I always browsed through the books until it was time to 22 . Sometimes mom would 23 me one too. Soon, a large part of my home library came from yard sale books. For me, these books were more 24 than their first editions.Why do we have yard sales? It certainly isn’t for the 25 . For all the time and 26 people put into them, they would hardly make minimum wage from the sales. I think, rather, it is yard sales that 27 us together. We 28 our old things and we buy “new” old things. We talk and 29 old friends and new neighbors. We get a 30 to give and share. We 31 through kindness and love among all the old stuff. It’s all about 32 , both in goods and between people.I think yard sales teach us something about 33 too. We can’t really34 anything here, after all; all we get is 35 possession of our stuff, then it comes time for us to let it go and pass it on.16．A．announced B．spotted C．prepared D．recalled 17．A．Even so B．In short C．At least D．Above all 18．A．problems B．memories C．realities D．dreams 19．A．markets B．neighbors C．yard sales D．shopping malls 20．A．imagine B．enjoy C．practice D．hate 21．A．books B．paintings C．plates D．toys 22．A．go B．start C．work D．register 23．A．award B．write C．buy D．lend 24．A．popular B．useful C．different D．priceless 25．A．fun B．money C．relaxation D．responsibility 26．A．love B．resource C．fund D．effort 27．A．mix B．bring C．guide D．inspire 28．A．get rid of B．put away C．go through D．make use of 29．A．pass by B．look for C．catch up with D．face up to 30．A．tradition B．goal C．chance D．job 31．A．extend B．connect C．learn D．compete 32．A．communication B．information C．deliveryD．exchange33．A．life B．ethics C．economy D．society 34．A．purchase B．explore C．own D．trust 35．A．temporary B．legal C．normal D．full三、阅读理解With the rapid development of computer science, the Internet is changing quickly out of our expectations. In the past, we just had the Internet while now we have the Internet of Things (IoT), which aims to get everything and everyone talking. Attaching sensors to “things”, such as cows, cars and refrigerators, and then assigning them unique IP addresses allow them to “talk” to the Internet. Of course, the IoT will involve much more than a handful of sensors. Networking company Cisco estimates that 50 billion Internet-connected devices and objects will be sending over data by 2020.36．How do researchers get everything and everyone talking?A．By establishing the IoT and launching a handful of sensors.B．By sending people to track them day and night and collect useful data.C．By communicating with them all the time through the IoT.D．By connecting sensors with them and appointing them unique IP addresses. 37．According to the passage, which of the following is NOT TRUE?A．IoT can help people do preventive maintenance and save money.B．IoT can help people monitor energy usage and observe price changes timely.C．IoT can help people adjust their habits and use electrical appliances more wisely.D．IoT can help people investigate things and update a lot of important data. 38．Besides its probably ending up being a fashion, what else do critics worry about the IoT?A．People will lose interest in it as quckly as the thrill over last year’s smartphone.B．Whether related companies will provide long-term software updates or not.C．Refrigerators and washing machines will be replaced by other devices in a few years.D．The software provided by companies will be outdated easily and quickly. 39．According to the passage, when owners of the Tesla Model S electric car received a recall notice, they ___.A．just waited in the car while the maintenance is being done through wireless update B．were required to go to the nearest 4S store to make some adjustments or repairsC．could definitely depend on the IoT to send them the charger plug to be fixedD．had to confirm the update with the help of the equipment provided by the company 40．What would be the best title for the passage?A．Craze is disappearing!B．It’s time to change!C．It’s all connected!D．The Internet is coming!It was a cold May morning when I received an intriguing (有趣的) email from an old high school friend inviting me to join a 10-day all-girls surf trip. I knew I had to say yes.The trip seemed simple enough. Ten women aged 30 to 45, all complete strangers, gathered on the coast of Portugal to try something new: surfing in the Atlantic Ocean.I have always loved traveling, so I eagerly sent an email to my boss seeking permission from him to make the once-in-a-life trip.If there’s one thing I’ve learned over my past 33 years, it’s that adults typically spend their days mastering the things they’ve done before. It seems like we pride ourselves on becoming experts in whatever field we’ve fallen into, knowing more and more about less and less.Now, in theory, this is a great strategy, as it allows you to become really, really good at one particular thing, but it also kind of ends up leaving some skills lacking.I met my new surfing companions on the grass of the hotel lawn in a small surf town called Ericeira. Despite our different personalities and backgrounds, we were all united in a relentless desire to challenge ourselves, learn, tackle and grow.The shores at Ericeira, where the beginners learn to surf, are shallow and covered with slippery rocks. They make for softer waves but are difficult to navigate.Guided by our amazing coaches, together, we faced the waves. Sometimes, it poured with rain, and the waves crashed around us, but we were still out there. And with every slip and fall, words of encouragement filled the air.Honestly, I probably spent most of my days frozen to the bone, but that didn’t matter because a new level of genuine joy and personal achievement had been unlocked. Learning a new skill taught me the humility that can come from doing badly at something new, and the pride that develops when you finally manage to grasp something you’ve been working on.While surfing might not be my calling, trying it out inspired me to take more risks in life, to step outside of my comfort zone and to never stop believing in myself. You never know what you’re capable of if you don’t go out there and try.41．What motivated the author to join the surf trip to Portugal?A．Her love for surfing and improving existing skills.B．Her desire to reconnect with a high school friend and make new friends.C．Her passion for embracing challenges and exploring new places.D．The chance to take a break in Portugal from work.42．What is the author’s view on adults focusing on mastering one field?A．It blocks creativity and exploration.B．It is essential for career success.C．It disturbs one’s work-life balance.D．It narrows one’s abilities.43．Which of the following words best describe the author’s surfing experience?A．Tough but rewarding.B．Relaxing but unpredictable.C．Difficult but interesting.D．Tiring but meaningful.44．What can be inferred about the author?A．She discovered her true calling atter the trip.B．She used to lack confidence in herself.C．She became more willing to challenge herself.D．She went on to become an expert surfer.45．What wisdom did the author gain from the experience with surfing?A．The need to seek professional training in all new skills.B．The value of pushing your limits and running the risk of something unpleasant.C．The benefit of exploring new places with unknown companions.D．The importance of being an expert in on field.The Internet has completely changed the workplace over the past three decades. Artificial Intelligence is now all set to do the same, and businesses that don’t take advantage of the technology risk being left behind.Global tech giants like Amazon have been leading the change, and businesses of all sizes are now using the technology for employing and managing their staff.Among them is L’Oreal. With about a million applicants for roughly 15,000 new positions each year, the company is using AI to hire.“We really wanted to save time and focus more on quality, diversity and candidate experience. And AI solutions were the best way to go faster on these challenges,” said Eva Azoulay, global vice-president of L’Oreal’s Human Resources Department.The company uses Mya, a chatbot, to save employers’ time during the first stage of the process. It handles routine questions from candidates, and checks details such as availability and visa requirements. Should candidates make it to the next round, they’ll run into Seedlink, an AI software that scores applicants based on their answers to open-ended interview questions. These scores don’t replace human judgment, said Azoulay, but they do exclude candidates who might not seem like obvious choices.Early results have been promising. For one internship program, where 12,000 people apply for about 80 spots, employers claim they saved 200 hours of time while hiring the most diverse group to date.Other businesses have gone beyond employment and are using AI to help manage employees. Some UK firms have started using Isaak, a system designed by the London-based company StatusToday, to track how many hours staff spend online and the number of emails they receive. London real estate agent JBrown has been using this system since March. CEO James Brown said it helps the firm understand employees’ habits and prevent them from overworking. “It enables us to solve bottleneck problems and relieve overburdened employees,” he said.Despite these examples of good practice, there is still a long way for AI to reach its full potential, and the technology comes with risks. Another AI danger could be its impact on jobs through automation.McKinsey predicts AI could add $13 trillion to the global economy by 2030, with early adopters doubling their cash flow over that period. But the demand for repetitive (重复的) or digitally-unskilled jobs could drop by around 10%, the consulting firm said in a 2018 report. 46．What can we learn about AI technology from Paragraph 1?A．It causes a great problem in workplace.B．It will become a necessary part of business.C．It requires businesses to invest much money.D．It will replace the Internet in the future.47．L’Oreal uses AI in its hiring process to _____.A．pick out the most suitable candidates directlyB．come up with more questions unlimitedlyC．improve the company’s hiring efficiencyD．save money by replacing human judgment48．What’s the meaning of the underlined word “exclude” in the 5th paragraph?A．Prepare.B．Consider.C．Remove.D．Include. 49．Firms with the system Isaak can _____.A．prevent their employees from surfing the InternetB．force their employees to form good working habitsC．monitor the contents of all their employees’ emailsD．help their employees avoid being overstressed at work50．What is the main idea of the passage?A．What AI will bring to the workplace.B．Why AI could be good for the workplace.C．How businesses can prepare for an AI future.D．How to use AI to improve workplace efficiency.Culture can affect not just language and customs, but also how people experience the world on surprisingly basic levels.Researchers, with the help of brain scans, have uncovered shocking differences in perception (感知) between Westerners and Asians, what they see when they look at a city street, for example, or even how they perceive a simple line in a square, according to findings published in a leading science journal.In western countries, culture makes people think of themselves as highly independent individuals. When looking at scenes, Westerners tend to focus more on central objects than on their surroundings. East Asian cultures, however, emphasize inter-dependence. When Easterners look at a scene, they tend to focus on surroundings as well as the object.Using an experiment involving two tasks, Dr Hedden asked subjects to look at a line simply to estimate its length, a task that is played to American strengths. In another, they estimated the line’s length relative to the size of a square, an easier task for the Asians. The level of brain activity, by tracking blood flow, was then measured by Brain Scanners. The experiment found that although there was no difference in performance, and the tasks were very easy, the levels of activity in the subjects’ brains were different. For the Americans, areas linked to attention lit up more, when they worked on the task they tended to find more difficult — estimating the line’s length relative to the square. For the Asians, the attention areas lit up more during the harder task also — estimating the line’s length without comparing it to the square. The findings are a reflection of more than ten years of previous experimental research into east-west differences.In one study, for instance, researchers offered people a choice among five pens; four red and one green. Easterners were more likely to choose a red pen while Westerners were more likely’ to choose the green one.Culture is not affecting how you see the world, but how you choose to understand and internalize it. But such habits can be changed. Some psychological studies suggest that when an Easterner goes to the West or vice versa, habits of thought and perception also begin to change. Such research gives us clues on how our brain works and is hopeful for us to developprograms to improve our memory, memory techniques and enhance and accelerate our learning skills.51．According to the passage, Chinese people are most likely to ___.A．more emphasize independent thinkingB．always focus more on their surroundingsC．think of Westerners as highly independent individualsD．focus more on the context as well as the object52．We know from the passage that people’s brains will be more active when ___.A．the task is much easier B．the blood flow is trackedC．the task is more difficult D．people begin to choose colors 53．What do the findings of the experiment mentioned in the 4th paragraph indicate?A．They indicate that culture has a great impact on the way people talk and behave.B．They show that Easterners and Westerners have great differences in perceiving the world.C．They suggest that people’s habits of thought and-perception can be changed indifferent cultures.D．They make it clear that Easterners and Westerners lay emphasis on different things. 54．It can be inferred from the passage that ____.A．Easterners prefer collectivism to individualismB．East Asian cultures lay more emphasis on independenceC．It took over ten years to find out how to improve our brainpowerD．Americans will change their habits of perception when they’re in Britain 55．Which of the following will be the best title of the passage?A．Chinese culture: why it has an advantage over Western culture?B．Western culture and Chinese culture: which will be more suitable for us?C．Western culture and Chinese culture: why we should learn from both?D．Western culture vs. Chinese culture阅读短文, 按照题目要求用英语回答问题。
天津市第一中学2023-2024学年高三第四次月考数学试卷(解析版)
天津一中2023—2024-2高三年级第四次月考数学试卷本试卷总分150分，考试用时120分钟．考生务必将答案涂写在答题卡上，答在试卷上的无效．一、选择题（本大题共9小题，每小题5分，共45分）1. 已知集合，则（ ）A. B. C. D. 【答案】C 【解析】【分析】根据题意，求得集合，结合集合交集的运算，即可求解.【详解】由不等式，解得，所以，又由，所以.故选：C.2. 将收集到的天津一中2021年高考数学成绩绘制出频率分布直方图，如图所示，则下列说法中不正确的是（ ）A. B. 高三年级取得130分以上的学生约占总数的65%C. 高三年级的平均分约为133.2D. 高三年级成绩的中位数约为125【答案】D 【解析】【分析】对于A ，由各个矩形面积之和为1即可列式求解；对于B ，求最右边两个矩形面积之和即可验算；对于C ，D 分别由平均数计算公式、中位数计算方法即可判断.{}{}2|3100,33A x x x B x x =--<=-≤≤A B = (2,3]-[)3,5-{1,0,1,2,3}-{3,2,1,0,1,2,3,4}---{}1,0,1,2,3,4A =-23100x x --<25x -<<{}1,0,1,2,3,4A =-{}33B x x =-≤≤{}1,0,1,2,3A B ⋂=-0.028a =【详解】对于A ，，故A 正确；对于B ，高三年级取得130分以上的学生约占总数的，故B 正确；对于C ，高三年级的平均分约为，故C 正确；对于D ，设高三年级成绩的中位数为，由于，所以，故D 不正确.故选；D.3. 已知，条件，条件，则是的（ ）A. 充分不必要条件 B. 必要不充分条件C 充要条件D. 既不充分也不必要条件【答案】A 【解析】【分析】结合绝对值的性质，根据不等式的性质及充分条件、必要条件的定义分析判断即可.【详解】因为，所以由得，故由能推出；反之，当时，满足，但是；所以是的充分不必要条件.故选：A .4. 函数的图象大致为（ ）A. B.C. D.【答案】B 【解析】.()1100.0010.0090.0250.037100.028a =-⨯+++÷=⎡⎤⎣⎦()0.0280.03710100%65%+⨯⨯=()1050.0011150.0091250.0251450.0281350.03710133.2⨯+⨯+⨯+⨯+⨯⨯=x 0.010.090.250.350.500.350.370.72++=<<+=130140x <<0a >:p a b >2:q a ab >p q 0a >a b >2a ab ab >≥:p a b >2:q a ab >10,2a b =>=-212a ab =>=-122a =<-=p q ()21cos 31x f x x ⎛⎫=-⋅ ⎪+⎝⎭【分析】根据函数奇偶性即可排除CD ，由特殊点的函数值即可排除A.【详解】，则的定义域为R ，又，所以为奇函数，图象关于原点对称，故排除CD ，当时，，故排除A .故选：B.5. 已知函数是上的偶函数，且在上单调递增，设，，，则a ，b ，c 的大小关系是（ ）A. B. C. D. 【答案】B 【解析】【分析】结合偶函数的性质，函数单调性，只需比较对数、分数指数幂的大小即可得解.【详解】因为函数是上的偶函数，且在上单调递增，所以，即.故选：B.6. 多项式展开式中的系数为（ ）A. 985B. 750C. 940D. 680【答案】A 【解析】分析】由二项式定理即可列式运算，进而即可得解.【详解】多项式展开式中的系数为.故选：A.7. 已知斜三棱柱中，为四边形对角线的交点，设三棱柱的体积【2()(1)cos 31xf x x =-⋅+()f x ()()()22321cos 1cos 1cos 313131x x x xf x x x x f x -⎛⎫⨯⎛⎫⎛⎫-=-⋅-=-⋅=-+⋅=- ⎪ ⎪ ⎪+++⎝⎭⎝⎭⎝⎭()f x πx =()ππ22π1cos π103131f ⎛⎫-=< ⎪++⎝⎭=-+()f x R ()f x [0,)+∞12e a f ⎛⎫= ⎪⎝⎭12b f ⎛⎫= ⎪⎝⎭1ln 2c f ⎛⎫= ⎪⎝⎭a b c <<b<c<ac<a<bb a c<<()f x R ()f x [0,)+∞()()1211ln 2ln 1e 22b f f f c f ff a ⎛⎫⎛⎫⎛⎫=<==<<== ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭b<c<a ()52(71)52x x++2x ()52(71)52x x++2x 32350555C 712C 7159805985⋅⋅⋅+⋅⋅⋅=+=111ABC A B C -O 11ACC A 111ABC A B C -为，四棱锥的体积为，则（ ）A. B. C. D. 【答案】A 【解析】【分析】如图，延长，连接，则、，进而得，即可求解.【详解】如图，延长，连接，则，所以，又O 为的中点，所以点到平面的距离是点到平面的距离的2倍，则，所以，即故选：A8. 已知函数（为常数，且）的一个最大值点为，则关于函数的性质，下列说法错误的有（ ）个.1V 11O BCC B -2V 21:V V =1:31:41:62:31OA 11,,OB OB A B 111123A BCC B V -=11122A BCC B V V -=12223V V =1OA 11,,OB OB A B 11111111,3A ABC A BCCB A ABC V V V V V ---=+=111123A BCCB V -=1AC 1A 11BCC B O 11BCC B 11111222A BCC B O BCC B V V V --==12223V V =2113V V =()sin cos f x a x b x =+,a b 0,0a b >>π3x =()sin 2cos 2g x a x b x =+①的最小正周期为；②的一个最大值点为；③在上单调递增；④的图像关于中心对称．A. 0个 B. 1个C. 2个D. 3个【答案】B 【解析】【分析】根据三角函数的性质，求的关系，再根据辅助角公式化简函数，再利用代入的方法，判断函数的性质.【详解】函数，，平方后整理为，所以，，函数的最小正周期为，故①正确；当时，，此时函数取得最大值，故②正确；当时，，位于单调递增区间，故③正确；，故④错误，所以错误的只有1个.故选：B9. 已知双曲线的左焦点为，过作渐近线的垂线，垂足为，且与抛物线交于点，若，则双曲线的离心率为（ ）A.B.C.D.【答案】B 【解析】()g x π()g x π6()g x 2π,π3⎛⎫⎪⎝⎭()gx 7π,012⎛⎫⎪⎝⎭,a b ()g x ()sin cos f x a x b x =+12b +=()20a =a π()sin 2cos 22sin 26g x x b x b x ⎛⎫=+=+ ⎪⎝⎭0b >()g x 2ππ2=π6x =πππ2662⨯+=()g x 2π,π3x ⎛⎫∈⎪⎝⎭π3π13π2,626x ⎛⎫+∈ ⎪⎝⎭77ππ4π2sin 22sin 0121263g b b π⎛⎫⎛⎫=⨯+=≠ ⎪ ⎪⎝⎭⎝⎭22221(0,0)x y a b a b-=>>1(,0)F c -1F P 212y cx =M 13PM F P =【分析】首先利用等面积法求出点坐标，再根据，求出坐标，再将坐标带入抛物线化简即可求解出双曲线离心率.【详解】据题意，不妨取双曲线的渐近线方程为，此时，，∴，且是直角三角形，设，则，，代入中，得，即；设,则，，由，则，，∴，则；又在抛物线上，，即，化简得，分子分母同时除以，，且，，.故选：B二、填空题（本大题共6小题，每小题5分，共30分）10. 已知，且满足（其中为虚数单位），则_________．【答案】2【解析】【分析】根据复数相等得到关于的方程组，解该方程组即可.【详解】由题意，可得，P 13PM F P =M M 212y cx =by x a=-1F P b =1OF c =OP a =1OPF (,)p p P x y 11122OPF p S ab cy== p aby c ∴=b y xa =-2p a x c =-2(,a ab P c c-(,)M xy 2,a ab PM x y c c ⎛⎫=+- ⎪⎝⎭ 221,,a ab b ab F P c cc c c ⎛⎫⎛⎫=-+= ⎪ ⎪⎝⎭⎝⎭ 13PM F P = 223a b x c c+=⋅3ab ab y c c -=⋅2234,b a ab x y c c -==2234(,)b a abM c c -M 212y cx =22243()12ab b a cc c-∴=()()()2222222222221612316123a b b aca c a c a a c ⎡⎤=-⇔-=--⎣⎦422491640c a c a -+=4a 4291640e e ∴-+=1e >2e ∴===e ∴=,R a b ∈(12i)(i)3i a b ++=-i 22a b +=,a b (12i)(i)3i a b ++=-(2)(2)i 3i a b a b -++=-所以，解得，所以.故答案为：211. 著名的“全错位排列”问题（也称“装错信封问题”是指“将n 个不同的元素重新排成一行，每个元素都不在自己原来的位置上，求不同的排法总数．”，若将个不同元素全错位排列的总数记为，则数列满足，．已知有7名同学坐成一排，现让他们重新坐，恰有两位同学坐到自己原来的位置，则不同的坐法有_________种【答案】【解析】【分析】根据数列递推公式求出项，再结合分步计数原理求解.【详解】第一步，先选出两位同学位置不变，则有种，第二步，剩下5名同学都不在原位，则有种，由数列满足，，则，，，则不同的做法有种.故答案为：.12. 已知在处的切线与圆相切，则_________．【答案】或【解析】【分析】根据导数的几何意义，求得切线方程，再由直线与圆相切，列出方程，即可求解.【详解】由函数，可得，则且，所以函数在处的切线方程为，即，又由圆，可得圆心，半径为，2321a b a b -=⎧⎨+=-⎩1575a b ⎧=⎪⎪⎨⎪=-⎪⎩222a b +=n n a {}n a 120,1a a ==()12(1)(3)n n n a n a a n --=-+≥9242776C 2121⨯==⨯5a {}n a 120,1a a ==()12(1)(3)n n n a n a a n --=-+≥()()321312a a a =-+=()()432419a a a =-+=()()5435144a a a =-+=2144924⨯=9242()ln f x x x =-1x =22:()4C x a y -+==a -0x y -=2()ln f x x x =-1()2f x x x=-'(1)1f '=(1)1f =()f x 1x =11y x -=-0x y -=22:()4C x a y -+=(,0)C a 2r =因为与圆，解得.故答案为：.13. 元旦前夕天津-中图书馆举办一年一度“猜灯谜”活动，灯谜题目中逻辑推理占，传统灯谜占，一中文化占，小伟同学答对逻辑推理，传统灯谜，一中文化的概率分别为，，，若小伟同学任意抽取一道题目作答，则答对题目的概率为______，若小伟同学运用“超能力”，抽到的5道题都是逻辑推理题，则这5道题目中答对题目个数的数学期望为______.【答案】 ①. ##②. 【解析】【分析】根据全概率公式求解概率，根据二项分布列的期望公式求解即可.【详解】设事件“小伟同学任意抽取一道题目作答，答对题目”，则.由题意小伟同学任意抽取一道逻辑推理题作答，则答对题目的概率为，根据二项式分布知，所以，即的数学期望为.故答案为：，14. 在中，设，，其夹角设为，平面上点满足，，交于点，则用表示为_________．若，则的最小值为_________．【答案】 ①. ②.【解析】【分析】由和三点共线，得到和，得出方程组，求得的值，得到，再由，化简得到，得出，结合基本不等式，即可求解.0x y -=C 2a =±±20%50%30%0.20.60.7X 0.5511201A =()0.20.20.50.60.30.70.55P A =⨯+⨯+⨯=0.2()5,0.2X B ~()50.21E X =⨯=X 10.551ABC ,AB a AC b ==u u u r r u u u r r θ,D E 2AD AB = 3AE AC =,BE DC O AO ,a b65AO DE DC BE ⋅=⋅ cos θ4355AO a b =+ ,,D O C ,,B O E 2(1)AO ta t b =+- ()33AO ua u b =+-2133t ut u =⎧⎨-=-⎩,t u 4355AO a b =+ 65AO DE DC BE ⋅=⋅ 2248209a b a b ⋅=+ 22209cos 48a b a bθ+=【详解】因为三点共线，则存在实数使得，又因为三点共线，则存在实数使得，可得，解得，所以，由，因为，可得，整理得，可得，所以又因为所以，当且仅当时，即时，等号成立，所以.故答案为：15. 设函数，若函数与直线有两个不同的公共点，则的取值范围是______.【答案】或或【解析】【分析】对于，当可直接去绝对值求解，当时，分和,,D O C t (1)2(1)AO t AD t AC ta t b =+-=+-,,B O E u ()()133AO u AB u AE ua u b =+-=+-2133t u t u =⎧⎨-=-⎩24,55t u ==4355AO a b =+ 32,2,3DE AE AD b a DC AC AD b a BE AE AB b a =-=-=-=-=-=- 65AO DE DC BE ⋅=⋅ 436()(32)(2)(3)555a b b a b a b a +⋅-=-⋅-2248209a b a b ⋅=+ 2248cos 209a b a b θ=+ 22209cos 48a b a bθ+=22209a b+≥ 22209cos 48a b a b θ+=≥ 22209a b = 3b cos θ4355AO a b =+ 22()21f x x ax ax =-++()y f x =y ax =a 2a <-21a -<<-2a >221y x ax =-+0∆≤0∆>a <-a >论，通过和图像交点情况来求解.详解】由已知，即，则必过点，必过，对于，当时，，此时恒成立，所以，令，即，要有两个不同的公共点，则，解得或或，当时，或当时，和图象如下：此时夹在其两零点之间的部分为，令，得无解，则有两个根有两个根，即有两个解，，符合要求；当和图象如下：【221y x ax =-+()1y ax x =-22()21f x x ax ax ax =-++=()2211x ax ax x -+=-()1y ax x =-()()0,0,1,0221y x ax =-+()0,1221y x ax =-+280a ∆=-≤a -≤≤2210x ax -+≥()222()2121f x x ax ax a x ax =-++=+-+()221a x ax ax +-+=()22210a x ax +-+=()21Δ442020a a a ⎧=-+>⎨+≠⎩2a -≤<-21a -<<-2a <≤280a ∆=->a <-a >a <-221y x ax =-+()1y ax x =-221y x ax =-+-2221x ax ax ax -+-=-+()221a x -=()2211x ax ax x -+=-()2211x ax ax x ⇔-+=-()22210a x ax +-+=()2Δ4420a a =-+>a <-a >221y x ax =-+()1y ax x =-或令，根据韦达定理可得其两根均为正数，对于①，则，解得，对于②，则，解得，综上所述，的取值范围是或或.【点睛】方法点睛：对于方程的根或者函数零点问题，可以转化为函数图象的交点个数问题，图象直观方便，对解题可以带来很大的方便.三、解答题（本大发共5小题，共75分）16. 已知中，角A ，B ，C 的对边分别为a ，b ，c ，且，．（1）求；（2）若，求的面积．【答案】（1（2【解析】【分析】（1）利用正弦定理求关系，再利用余弦定理求出，再利用两角和的正弦定理计算即可；（2）利用三角形的面积公式求解即可.【小问1详解】2210x ax -+=011⎧<<⎪⎪>3a >011⎧<<⎪⎪<3a <<a 2a <-21a -<<-2a >ABC sin cos sin 22C CB =2223a c b -=πsin 3B ⎛⎫+⎪⎝⎭1b =ABC ,,a b c cos B因为，所以，由正弦定理得，所以，即，所以，在中，，所以【小问2详解】由（1）得当时，，所以17. 已知四棱台，下底面为正方形，，，侧棱平面，且为CD 中点．（1）求证：平面；（2）求平面与平面所成角的余弦值；（3）求到平面的距离．【答案】（1）证明见详解 （2）sincos sin 22C CB =sin 2sinC B =2c b =2222223347b a b c b b +=+===a 222cos 2a cb B ac +-===ABC sin B ==π11sin sin 322B B B ⎛⎫+=== ⎪⎝⎭1b =2a c ==122ABC S =´´=1111ABCD A B C D -ABCD 2AB =111A B =1AA ⊥ABCD 12,AA E =1//A E 11BCC B 11ABC D 11BCC B E 11ABC D 15（3【解析】【分析】（1）直接使用线面平行的判定定理即可证明；（2）构造空间直角坐标系，然后分别求出两个平面的法向量，再计算两个法向量的夹角余弦值的绝对值即可；（3）使用等体积法，从两个不同的方面计算四面体的体积即可求出距离.【小问1详解】由于，，故，而，故四边形是平行四边形，所以，而在平面内，不在平面内，所以平面；【小问2详解】如上图所示，以为原点，为轴正方向，建立空间直角坐标系.则，，，，，，设平面与平面的法向量分别是和，则有和，1EAD B 11∥A B AB CE AB ∥11CEA B 1111122CE CD AB A B ====11CEA B 11A E B C ∥1B C 11BCC B 1A E 11BCC B 1//A E 11BCC B 1A 11111,,A A A D A B,,x y z ()2,0,0A ()10,1,0D ()2,0,2B ()10,0,1B ()10,1,1C ()()()()11110,0,2,2,1,0,2,0,1,0,1,0AB AD BB B C ==-=--=11ABC D 11BCC B ()1,,n p q r = ()2,,n u v w =11100n AB n AD ⎧⋅=⎪⎨⋅=⎪⎩ 212110n BB n B C ⎧⋅=⎪⎨⋅=⎪⎩即，，从而，，.故我们可取，，而，故平面与平面所成角的余弦值是.【小问3详解】设到平面的距离为，由于，而，所以.所以到平面18. 已知椭圆的左右顶点为A ，B ，上顶点与两焦点构成等边三角形，右焦点（1）求椭圆的标准方程；（2）过作斜率为的直线与椭圆交于点，过作l 的平行线与椭圆交于P ，Q 两点，与线段BM 交于点，若，求．【答案】（1）（2）【解析】【分析】（1）根据上顶点与两焦点构成等边三角形求出即可；（2）设出直线方程，利用弦长公式求出求出，，利用点到直线的距离求出点到直线的距离和点到直线的距离，再根据列式计算即可.【小问1详解】2020r p q =⎧⎨-+=⎩200u w v --=⎧⎨=⎩0r v ==2p q =20u w +=()11,2,0n = ()21,0,2n =-11cos ,5n 11ABC D 11BCC B 15E 11ABC D L 111111332E AD B AD B V LS L AD AB L -==⋅⋅⋅= 111142333E AD B B AD E AEB ABCD V V S S --==⋅⋅=⋅= 43=L =E 11ABC D 22221(0)x y a b a b +=>>(1,0)F A (0)k k >l M F N 2AMN BPQ S S =△△k 22143x y +=k =,a b AM PQ N AM B PQ 2AMN BPQ S S =△△由已知在等边三角形中可得，则椭圆的标准方程为为；【小问2详解】设直线的方程为：，联立消去得，则，得，，设直线的方程为：，设，联立，消去得，易知，则，所以，由得，所以直线的方程为，即，联立得，所以点到直线的22,a c b ====22143x y +=l ()2y k x =+()222143y k x x y ⎧=+⎪⎨+=⎪⎩y ()2222341616120k x k x k +++-=221612234M k x k --=+226834M k x k-=+226834Mk AM x k -=-=-=+PQ ()1y k x =-()()1122,,,P x y Q x y ()221143y k x x y ⎧=-⎪⎨+=⎪⎩y ()22223484120k x k x k +-+-=0∆>221212228412,3434k k x x x x k k-+==++PQ ==()2212134k k +=+226834M k x k -=+222681223434M k k y k k k ⎛⎫-=⋅+= ⎪++⎝⎭BM ()2221234268234kk y x k k +=---+()324y x k=--()()3241y x k y k x ⎧=--⎪⎨⎪=-⎩222463,4343k k N k k ⎛⎫+ ⎪++⎝⎭N AM点到直线，因为，所以，解得.【点睛】方法点睛：直线与椭圆联立问题第一步：设直线方程：有的题设条件已知点，而斜率未知；有的题设条件已知斜率，点不定，都可由点斜式设出直线方程．第二步：联立方程：把所设直线方程与椭圆方程联立，消去一个元，得到一个一元二次方程．第三步：求解判别式：计算一元二次方程根的判别式.第四步：写出根之间的关系，由根与系数的关系可写出．第五步：根据题设条件求解问题中的结论．19. 已知数列满足对任意的，均有，且，，数列为等差数列，且满足，．（1）求，的通项公式；（2）设集合，记为集合中的元素个数．①设，求的前项和；②求证：，．【答案】（1），B PQ 2AMN BPQ S S =△△()221211122234k k +=⨯+k =∆0∆>{}n a *N n ∈212n n n a a a ++=12a =24a ={}n b 11b =2105b b a +={}n a {}n b {}*1N n n k n A k a b a +=∈<≤n c n A ()2n n n p b c =+{}n p 2n 2n P *N n ∀∈122121111176n n c c c c -++++< 2n n a =32n b n =-（2）①；②证明过程见解析【解析】【分析】（1）根据等比中项的性质，结合等差数列的通项公式、等比数列的通项公式进行求解即可；（2）①根据不等式的解集特征，结合累和法、等比数列的前项和公式分类讨论求出的表达式，最后根据错位相减法进行求解即可；②运用放缩法，结合等比数列前项和公式进行运算证明即可.【小问1详解】因为数列满足对任意的，均有，所以数列是等比数列，又因为，，所以等比数列的公比为，因此；设等差数列的公差为，由；【小问2详解】因为，，所以由，因此有，即有，，当时，有于是有当为大于2的奇数时，()2122122n n P n n +=-⋅+-12322,n n k k +*<-≤∈N n n c n {}n a *N n ∈212n n n a a a ++={}n a 12a =24a ={}n a 212a a =1222n n n a -=⨯={}n b d ()210511932313132n b d d d b b n n a ⇒+++=⇒=⇒=+-=+-=2n n a =32n b n =-11,2322,nn n k n a b a k k k *+*+<≤∈⇒<-≤∈N N {}{}{}{}{}123452,3,4,5,6,7,8,9,10,11,12,13,,22A A A A A ===== {}623,24,,43,A =1234561,1,3,5,11,21,c c c c c c ======234512233445562,42,82,162,322,c c c c c c c c c c +=+==+==+==+== 12,n n n c c ++= 2,N n n *≥∈112,n n n c c --+=1112,n n n c c -+--=n ()()()243122431122221n n n n n n n c c c c c c c c -----=-+-+-+=+++++，显然也适合，当为大于2的偶数时，，显然也适合.①，，，设，则有，两式相减，得，，；②设，显然，，当时，有，因此，12214211143n n -⎛⎫- ⎪+⎝⎭=+=-11c =n ()()()244222442222221n n n n n n n c c c c c c c c -----=-+-++-+=+++++ 122214211143nn ⎛⎫- ⎪-⎝⎭=+=-21c =()()()21,21,N 221,2,Nn n n n n n n k k p b c n n k k **⎧+=-∈⎪=+=⎨-=∈⎪⎩()()212342121321242n n n n n P P P P P P P P P P P P P --=++++++=+++++++ ()()132124212132321221222424222n nn n n n -⎡⎤⎡⎤=⨯++⨯+++-⋅+-+⨯-+⨯-++⋅-⎣⎦⎣⎦()()()123212122232212221234212n n n n n n -⎡⎤=⨯+⨯+⨯++-⋅+⋅+-+-+--⎣⎦ ()()12321212223221222n n S n n -=⨯+⨯+⨯++-⋅+⋅ ()()234221212223221222nn S n n +=⨯+⨯+⨯++-⋅+⋅ 123212212222222n n n S n -+-=+++++-⋅ ()()2212121222212212n n n S n S n ++-⇒-=-⋅⇒=-⋅+-()2122122n n P n n +=-⋅+-()()11321k k k k c *+=∈+-N ()11332121k k k k c +=≤-+-()4213224k k k --⨯=-4,N k k *≥∈()()344213224042132212kk kkkk k--⨯=->⇒->⨯⇒<-()1133421221k k k k k c +=≤<-+-所以当时，，即，显然当时，有成立.【点睛】关键点点睛：本题的关键由可以确定从第几项开始放缩，根据数列的通项公式的形式，得到，这样可以进行放缩证明.20. 已知函数．（1）讨论的单调区间；（2）已知，设的两个极值点为，且存在，使得的图象与有三个公共点；①求证：；②求证：．【答案】（1）答案见解析 （2）证明见解析【解析】【分析】（1）首先求函数的导数，再讨论，结合函数的定义域，即可求函数的单调区间；（2）①要证，即证，只需证，构造函数，，借助导数即可得证；②同①中证法，先证，则可得，利用、是方程的两根所得韦达定理，结合即可得证.【小问1详解】，，N k *∈4512321111111111143222k k k c c c c c -⎛⎫+++++<++++++ ⎪⎝⎭ 43123211111111122114312k k k c c c c c --⎛⎫- ⎪⎝⎭⇒+++++<+++⨯- 312321111171171171322326k k k c c c c c --⎛⎫+++++<+-<+= ⎪⎝⎭ 2k n =122121111176n n c c c c -++++< 171111632=+++()1133421221k k k k k c +=≤<-+-2()24ln f x x ax x =-+()f x [4,6]a ∈()f x ()1212,λλλλ<b ∈R ()y f x =y b =()123123,,x x x x x x <<1212x x λ+>31x x -<∆1212x x λ+>2112x x λ>-()()1112f x f x λ<-()()()12x g x f x f λ=--()10,x λ∈2232x x λ+<()()2312123122x x x x x x λλ=++<---1λ2λ220x ax -+=[4,6]a ∈()()222422x ax f x x a x x-+'=-+=0x >其中，，当时，即，此时恒成立，函数在区间单调递增，当时，即或当时，在区间上恒成立，即函数在区间上单调递增，当，得或当时，，时，，所以函数的单调递增区间是和，单调递减区间是，综上可知，当的单调递增区间是；当的单调递增区间是和，单调递减区间是；【小问2详解】①由（1）知，当时，函数的单调递增区间是和，单调递减区间是，、是方程的两根，有，，又的图象与有三个公共点，故，则，()22tx x ax =-+28a ∆=-0∆≤a -≤≤()0f x '≥()f x ()0,∞+0∆>a <-a >a <-()0f x ¢>()0,∞+()f x ()0,∞+a >()0t x =1x =1x =0x <<x >()0f x ¢>x <<()0f x '<()f x ⎛ ⎝⎫+∞⎪⎪⎭a ≤()f x ()0,∞+a >()f x ⎛ ⎝⎫+∞⎪⎪⎭[4,6]a ∈()f x ()10,λ()2,λ+∞()12,λλ1λ2λ220x ax -+=122λλ=12a λλ+=()y f x =y b =()123123,,x x x x x x <<112230x x x λλ<<<<<1112x λλ->要证，即证，又，且函数在上单调递减，即可证，又，即可证，令，，由，则恒成立，故在上单调递增，即，即恒成立，即得证；②由，则，令，，则，故在上单调递增，即，1212x x λ+>2112x x λ>-1112x λλ->()f x ()12,λλ()()1122f x f x λ<-()()12f x f x b ==()()1112f x f x λ<-()()()12x g x f x f λ=--()10,x λ∈()()()()212222422x ax x x f x x a x x xλλ-+--'=-+==()()()()()112211122222x x xx x g x x λλλλλλλ------'=+-()()()()()1221112222x x x x x x x λλλλλλ+--+-=-⋅-()()222211*********x x x x x x xx x λλλλλλλλ-+++--+=-⋅-()()()()()12221111222420x x x x x x x λλλλλλλ--=-⋅=>--()g x '()10,λ()()()()111102g x g f f λλλλ<=--=()()1112f x f x λ<-112230x x x λλ<<<<<2322x λλ-<()()()22x h x f x f λ=--()2,x λ∈+∞()()()()()122221222222x x xx x h x x λλλλλλλ------'=+-()()()()()2112222222x x x x x x x λλλλλλ+--+-=-⋅-()()221122212222222x x x x x x xx x λλλλλλλλ-+++--+=-⋅-()()()()()22112222222420x x x x x x x λλλλλλλ--=-⋅=>--()h x '()2,λ+∞()()()()222202h x h ff λλλλ>=--=即当时，，由，故，又，故，由，，函数在上单调递减，故，即，又由①知，故，又，故.【点睛】关键点点睛：最后一问关键点在于先证，从而借助①中所得，得到.()2,x λ∈+∞()()22x f x f λ>-32x λ>()()3232f x f x λ>-()()32f x f x =()()3222f x f x λ>-2322x λλ-<122x λλ<<()f x ()12,λλ2322x x λ<-2232x x λ+<1212x x λ+>()()2312123122x x x x x x λλ=++<---2122λλ-==≤=31x x -<2232x x λ+<1212x x λ+>()()2312123122x x x x x x λλ=++<---。