2016-2017学年江苏省南通市启东中学高二下学期期中英语试题(解析版)
2016-2017学年江苏省南通市启东中学高二（下）期中英语试卷第一部分听力（共两节，满分20分）1．（1分）What will the woman probably do this evening？A．Attend a lecture．B．Go skating．C．Visit Lisa．2．（1分）What are the speakers talking about？A．A hotel．B．A church．C．A storm．3．（1分）What does the woman suggest the man do？A．Call George．B．Cancel his meeting．C．Have class first．4．（1分）What will the man buy？A．Carrots．B．Potatoes．C．Onions．5．（1分）When will the next movie begin？A．At 6：00 pm．B．At 7：00 pm．C．At 7：30 pm．6．（2分）听第6段材料，回答第6、7题．6．What present did the woman get？A．A bag．B．A T﹣shirt．C．A book．7．Who got a DVD as a present？A．The man's dad．B．The man's granddad．C．The man's brother．8．（2分）听第7段材料，回答第8至9题．8．Where does the man come from？A．Canada．B．China．C．America．9．What is the woman probably doing？A．Seeing off the man．B．Picking up her friend．C．Catching her plane．10．（3分）听第8段材料，回答第10至12题．10．What kind of room does the man book？A．A standard room with a back view．B．A general room with a front view．C．A general room with a back view．11．How much will the man pay in total？A.560 yuan．B.780 yuan．C.900 yuan．12．When will the man leave the hotel？A．On Monday．B．On Saturday．C．On Sunday．13．（4分）听第9段材料，回答第13至16题．13．What does the man think of his younger brother？A．Funny．B．Serious．C．Smart．14．What does the man's dad like doing？A．Taking photos．B．Growing flowers．C．Reading books．15．What do we know about the man's mom？A．She works very hard．B．She likes telling jokes．C．She likes detective stories．16．How many people are there in the man's Family？A．Four．B．Five．C．Six．17．（4分）听第10段材料，回答第17至20题．17．When are the high﹣heeled shoes in the museum from？A．The 1860s．B．The 1960s．C．The 1990s．18．Which of the following can visitors try on in this exhibition？A．The mini﹣skirts．B．The high﹣heeled shoes．C．The dresses．19．How long is the museum open on Saturdays？A．Seven hours．B．Seven and a half hours．C．Eight hours．20．Who is the special Family ticket for？A．One adult and one child．B．Two adults and two childrenC．Two adults and four children．第二部分英语知识运用（共两节）第一节单项填空（共15小题；每小题1分，满分15分）21．（1分）The actress looked so charming in her beautiful dress that we took ______pictures with her．（）A．masses of B．a great many ofC．a large amount of D．the number of22．（1分）Fame and wealth can be attractive，but ______ will they give you permanent happiness．（）A．in no time B．at a time C．at all times D．at no time23．（1分）No one is beyond the law，so it is _______ that the young talented university student was sentenced to death for murdering his roommate with poison．（）A．avoidable B．surprising C．reasonable D．astonishing24．（1分）﹣Glad to see you again．Haven't you graduated from Massachusetts Institute of Technology？﹣Yes．I _______ Engineering for four years there．（）A．have learned B．learned C．am learning D．had learned25．（1分）﹣﹣﹣Hi，Tom．Does John have any hobbies？﹣﹣﹣_______，swimming will appeal to him most strongly．（）A．If anything B．If ever C．If any D．If so26．（1分）Without the Internet，these people ________ fewer avenues to meet people．（）A．shall have B．will have C．would have D．must have27．（1分）The flood last month in the east was a real disaster，______ 19 people dead and 78 missing．（）A．having left B．to leave C．left D．leaving28．（1分）All of us have already known ______ she will choose is the opportunity to go aborad．（）A．what B．how C．that D．which29．（1分）In order to live with happiness，we must learn to _____work with pleasure since as much as one of three life span or so will be spent on it．（）A．represent B．combine C．relate D．impress30．（1分）Unfortunately，the government has shown that it will _____ the plan to build thousands of homes for people in this area．（）A．stick to B．turn to C．object to D．agree to31．（1分）Remember that there is still one point ____ we must make clear at the conference tomorrow．（）A．where B．that C．why D．when32．（1分）The leaders of Denmark and Finland said on Friday that China has showed a willingness to __________ global efforts to bail out debt﹣ridden European countries．（）A．contribute to B．subscribe toC．appeal to D．apply to33．（1分）﹣Mr．Smith，when can I go to America？﹣I've made a ________ for you on the morning flight．（）A．regulation B．presentation C．reservation D．contribution34．（1分）The article in The Times gives us a real ______ into the causes of the present economic crisis．（）A．enquiry B．admission C．insight D．division35．（1分）﹣I've got to line up at the restaurant for a meal．﹣_____？You can order food at ele．me on your phone．（）A．How come B．About what C．Why not D．Why bother第二节完形填空（满分20分）请认真阅读下面短文，从短文后各题所给的A、B、C、D四个选项中，选出最佳选项，并在答题纸上将该项涂黑．36．（20分）Banging the keys in frustration，I turned away from the piano．I tried to （36）the tears that were already welling up in my eyes．After an hour of （37），I still couldn't get the rhythm quite （38）on a Mozart piece that I had to present to my piano teacher the （39）day．To me，the piece had at first seemed fairly （40）．But，no matter how hard I tried，I just couldn't seem to （41）it the way that it was supposed to be played．I decided to take a （42），and come back to the piece later when I had （43）．For the most part，after a little bit of （44），I could usually learn the music pretty quickly﹣however，it was always that one （45），which might have appeared simple but was indeed difficult，that always got to me．These types of songs always made me （46）myself as a pianist﹣if I couldn't get this song right，would I be able to learn （47）songs？After having dinner，I （48）to come back to the piano．Placing my fingers tentatively（犹豫不决地）on the （49），I chose to play the piece slowly and carefully instead of trying to play the piece （50）．Using this new method，I exercised a great deal of patience，（51）that I often have trouble with．Instead of focusing on how hard the rhythm was，I focused on how I could （52）myself，little by little．Finally I could slowly see myself getting better．So I learned an important （53）﹣sometimes，baby steps are the best way to reach a goal．I'm an impatient person who likes to （54）that I can get somewhere by leaps and bounds（飞速地）．But，in the case of （55），I couldn't move forward and improve until I slowed down，believed in myself，and took it one step at a time．36．A．enjoy B．throw C．miss D．fight 37．A．complaining B．practicing C．crying D．shouting 38．A．low B．high C．wrong D．right 39．A．next B．usual C．new D．first 40．A．useful B．interesting C．easy D．difficult 41．A．play B．notice C．sing D．understand 42．A．chance B．step C．seat D．break 43．A．held back B．calmed down C．set out D．woken up 44．A．help B．money C．work D．luck 45．A．person B．question C．teacher D．music 46．A．accept B．remind C．doubt D．believe 47．A．easier B．slower C．quicker D．harder48．A．agreed B．refused C．decided D．pretended 49．A．chairs B．keys C．books D．desks 50．A．quickly B．hopefully C．happily D．lightly 51．A．nothing B．something C．anything D．everything 52．A．please B．satisfy C．improve D．support 53．A．lesson B．example C．result D．report 54．A．expect B．think C．answer D．promise 55．A．piano B．guitar C．dance D．violin第三部分阅读理解（满分30分）请认真阅读下列短文，从短文后各题所给的A、B、C、D四个选项中，选出最佳选项，并在答题纸上将该项涂黑．56．（4分）56．Why is the HairMax LaserBand so special？A．The band requires no operations but medicines to regrow your hair．B．You have a 5﹣month trial of the band with money back guarantee．C．The band has proven to be effective for all of your hair problems．D．You can keep your hands free when using the HairMax LaserBand．57．Next time you order a laser device at HairMax．com，you should pay at least．A.195B.97.5C.175D.215．58．（8分）For Kylie Jacobs，a young cancer patient，even a slight fever meant a stay in hospital；when she did go home，her health was so poor that she couldn't play or go to school．While the seven﹣year﹣old often felt hopeless，a visit from a special guest helped her forget，just for a moment．"Seeing Petie helps take her attention away from what she's been missing．And，Petie is very special because there's only one Petie，"said Eric Jacobs，Kylie's dad．Petie is a little therapy（治疗）horse．He's bigger than a therapy dog，but much smaller than a horse．The 25﹣year﹣old horse visits children in Akron Children's Hospital and Rainbow Babies & Children Hospital in Cleveland．He's beenvolunteering for eighteen years and has no plans to stop．"A visit from Petie is kind of fun and something they weren't expecting，"owner Sue Miller said．"It just takes away why they are there．"Miller and her husband，who own a horse therapy center，got Petie more than eighteen years ago．They first let him visit schools and nursing homes．Then Miller wondered if Petie could help at children's hospitals and she came to the hospital in Akrn．At first the officials were uncertain about his performance，but they decided to allow Petie to visit in a nearby building．As trust grew，he moved to the main hospital．Petie is not just able to make children cry with joy and forget their problems．Miller remembers a moment when Petie walked up to the bedside of an unconscious boy，then dropped his head to gently rub the boy's hand．Without waking，the boy started petting Petie．As everyone watched in silence，a doctor noticed that Petie slowed his breathing to match the boy's．"It was just a beautiful moment，"said Miller．"I am just so lucky that I get a chance to be part of this horse's life and what he gets to do for others．"58．What can we learn from the Paragraph 1？A．Petie is a friend of Kylie Jacobs．B．Petie can cure Kylie of her illness．C．Petie's visit is helpful to Kylie．D．Kylie always forgets something．59．What does Miller mean by saying the underlined words in Paragraphs 3？A．Petie has found happiness at hospital．B．Petie helps kids forget their suffering．C．Kids give much comfort to Petie．D．Kids are expecting Petie's visits．60．What was the hospital's attitude to Petie at first？A．Satisfied．B．Hopeful．C．Doubtful．D．Disappointed．61．What can we infer from the moment mentioned by Miller？A．Petie hoped to help the boy get better．B．Petie brought the boy back to consciousness．C．Petie was afraid of the boys'unconsciousness．D．Peite helped improve the boy's breathing ability．62．（8分）In a recent report，a new plan of offers a road map to the U．S．to reduce food waste by 20% within a decade while also creating thousands of jobs and could save consumers billions of dollars．The report，which comes just months after a federal（联邦政府的）action aimed at cutting food waste by 50% by 2030，offers a 27﹣point list of ways to address the problem．One of the three categories of food waste solutions is prevention．The measures put forward in the report mainly center on preventing food waste in the first place．The report suggests food companies should adjust packaging to discourage waste．Portions（一份的量）should be smaller and packaging should be designed to prevent food from going bad．Distributors，those who supply shops and companies with food，should use new technology to reduce food waste during transport．Prevention methods would help save roughly $8 billion and prevent 2.6 million tons of food from being wasted，according to the report．Recovery solutions focus on new methods of taking food that would otherwise be thrown away and using it for other purposes before it goes bad．The report also recommends providing tax encouragement for people who donate food to the poor，softening regulations on food donations and processing food to prolong its life．The report also encourages recycling solutions﹣recycling food once it is no longer edible．Food waste causes a lot of related problems from food insecurity to climate change．At present an average American household of four wastes more than two million calories of food every year．At the same time，other American families remain food﹣insecure and rely on cheap and unhealthy food．Carbon dioxide produced in the process of growing crops and raising animals such as cows and sheep also speedsup global warming．Nearly 10% of the greenhouse gas in the U．S．relates to agriculture，according to a report from the U．S．Environmental Protection Agency （EPA）．Problems connected with food waste are only expected to become more serious in coming years as the global population grow quickly and climate change reduces crop production．Crop production in some areas of the world faces a nearly 20% reduction thanks to climate change．The new report offers a path to approaches to meeting the federal government food waste goal．The government action﹣called for by the EPA and the U．S．Department of Agriculture﹣offered high ambition but few important details．"Let's feed people，"said EPA Administrator Gina McCarthy announcing the goal，"Not landfills．"62．We can learn from the passage that the report suggests．A．reducing food waste to half of its present level in 2030B．advancing packaging for convenience during transportC．adjusting portions to prevent food from being wastedD．working out new direct trade routes for distributors63．Which of the following can be viewed as a recovery solution？A．Reusing food that cannot be eaten any more．B．Making dog food out of unpopular human food．C．Giving quality food to school children for free．D．Taxing those who don't wasted food at a lower rate．64．Which of the following may be the direct cause of reduction in crop production？A．Growing population．B．Food waste．C．Climate change．D．Food insecurity．65．According to the passage，the author probably thinks the new report is．A．debatableB．imperfectC．helpfulD．ambitious．66．（10分）Good news for people who always fail to see the silver lining on clouds．A report in New Scientist，suggests that a tendency to get down when life knocks you down can be good for you．A growing number of warning voices from the world of mental﹣health research are claiming that it isn't a good idea to use antidepressant （抗抑郁剂）to help do away with unhappiness caused by marriage breakdown，death or redundancy（下岗）because"they fear that the increasing tendency to treat normal sadness as if it were a disease is playing fast and loose with an important part of our biology．Sadness serves an evolutionary（进化的）purpose．"Jerome Wakefield，a clinical social worker at New York University explains that depressive feelings are part of our biological makeup．"When you find something deep in us biologically，you should believe that it was selected because it could bring us some advantage，otherwise we wouldn't have been burdened with it．I think that one of the functions of strong negative emotions is to stop our normal functioning，to make us focus on something else for a while．"While Paul Keedwell，a psychiatrist at Cardiff University claims that ever full﹣blown depression may have its purpose，saying the sufferer from the effects of long﹣term stress．"Without a mental pause，"he argues，"you might stay in a state of chronic（慢性的）stress until you're exhausted or dead．"Although it is important to be careful when talking about depression，having the upside traced in your downside will have an irresistible（不可抵抗的）appeal to all those who take the phrase"cheer up，love，it might never happen"as a personal insult （侮辱）．It will be manna especially for creative types，who have long doubted that crying a lot is a sign of their inward genius（天赋）．In the tests at Harvard，New Scientist reports，people with signs of depression performed better at creative task，especially after receiving feedback that was designed to reinforce their lowspirits．Although it is old﹣fashioned to claim that creativity is connected to gloomy moods and a grey outlook on life，all the best works are written by some grim﹣faced （面孔铁青的）people with a heart full of anxiety．Richard Yates has written seven novels and two collections of short stories，each more hopelessly miserable（悲催的）than the last．After years of writing about his toothless，drunken mother，his experiences in the second world war and divorces，Yates finally rounds things off in Disturbing the Peace by fictionalizing how a cocktail of alcoholism and psychotropic drugs had him take off his clothes and wander the streets of LA，giving all his money to beggars．it is miserable﹣but so readable．So，although the grand majority will never write anything as good as Yates，there is something to be gained from looking on the dark side．In a work environment，for example，discontented people tend to have greater success than those of a sunny nature．It's enough to make a pessimist dissolve into a Cheshire Cat grin（咧嘴笑）．66．Mental﹣health researchers regard sadness as．A．a contributing factor to successB．a ray of hope to people in difficultiesC．a biological part of human beingsD．a normal disease of the depressed67．What can we learn from the passage？A．The number of people using antidepressants is on the rise．B．Writers are at high risk of suffering from depression．C．Discontented workers may be more popular than the sunny ones．D．Jerome Wakefield and Paul Keedwell have similar views about depression．68．What does the underlined word"manna"in Paragraph 3 mean？A．Gift．B．Pain．C．Reward．D．Challenge69．The story of Richard Yates is used to show that depressive men tend to be．A．unfortunate B．creative C．serious D．brave70．Which would be the best title of the passage？A．How to treat depressionB．Depressed people are creativeC．Depressive feelings are helpfulD．Why people feel depressed．第四部分单词拼写（共10小题；每小题0.5分，满分5分）71．（0.5分）This is a new invention that will have a wide range of（应用）in industry．72．（0.5分）It is said that our college is to make a for the meeting．73．（0.5分）S show that 50% of new businesses fail in their first year．74．（0.5分）They make the a that children spend too much time chatting and playing games instead of focusing on their school work．75．（0.5分）What is more，people who are disabled and must stay in their homes can c and communicate with others around the globe who have similar interests．76．（0.5分）Unfortunately，the number of vehicles on the road caused u traffic jams，and the roads became so busy that no one could travel anywhere．77．（0.5分）Nowadays，many people find some social（现象）are difficult to understand．78．（0.5分）Doctors were fighting a d battle to save the little girl's life．79．（0.5分）Typical of the Scotch，Burns had a r for being funny and charming．80．（0.5分）He has r ideas of what it means to be civil and to be a gentleman，and is embarrassed by Joe because he does not fit these．第五部分根据句意，用所给动词的适当形式填空（共10小题；每小题0.5分，满分5分）81．（0.5分）Nearly 3，500years ago，people chewed on leaves or drank a kind of teamade from leaves（possess）a special chemical to reduce body pains and fever．82．（0.5分）With too many problems（solve），the head of the company also has no time to answer the phone．83．（0.5分）These new ways of（dig）accelerated the pace of the London Underground's development．84．（0.5分）（carry）more than a light load on your bicycle makes it more difficult to control．85．（0.5分）Why else would many films（adapt）from them be successful？86．（0.5分）In the lecture（follow），the professor will tell us something about modern English usage．87．（0.5分）（check）all the doors were locked，Mr．Smith left for London on holiday．88．（0.5分）（understand）how mirrors produce image，we need to know what light does．89．（0.5分）Though（warn）of danger，sightseers have been flocking to the site where the world's biggest terrorist Bin Laden lived．90．（0.5分）Mrs．White found her husband surrounded by letters and papers and （look）very worried．第六部分任务型阅读（共1小题；每小题0.5分，满分5分）请认真阅读下列短文，并根据所读内容在文章后表格中的空格填入一个最恰当的单词．注意：请将答案写在答题纸上相应题号的横线上．每个空格只填一个单词．91．（5分）About Social WorkIf helping people out is your thing，then social work is the field for you．Of course，just being polite and holding the door open for others won't be classified as professional work．Social work involves giving back to society a little bit of what you feel you owe to it．It is often divided into two different branches．You can either help society physically of financially．Some people who do not have money to give back contribute with their time and energy．There are several cases where we see that people go for teaching poor children and conducting drives on social awareness．Many others，with more money but less time，prefer financing social work bodies by handing out large sums of money as donations to help them run．An attitude of service is important as the point of social work is to help people grow．It is all about serving people who are financially difficult and need your support to be able to work on the same basis with the rest of the world．The people that social workers are serving are clearly for one reason or the other，disadvantaged．By helping out，the basic idea is to reduce this difference between them and the rest of the world．So the person who has taken on the task needs to keep in mind that ensuring equality is an important part of their work．It needs to be done with the goal of making sure that at the end of it，every person has an equal chance．Integrity（正直）is one of the central values because it is integrity itself that reflects the true spirit of social work．Integrity is a feeling which is borne out of moral correctness and the need to keep to one's value systems．When integrity is made a part of the central values，only then can the social work be considered a success．Gone are the days when this was left to those with little time and few skills which a great success can be made out of in the job market．Social service today requires a great deal of ability，hard work and a drive to do things better，much as is the case with any teamwork．An unskillful person most certainly cannot go，nor is any less than the best performance demanded by those who are in it．The field of social work is a job that needs much skill nowadays and it requires nothing but the best performers．But all through，one should remember the central value of the existence of social work，which is to help the poor so that they too may become able world citizens．About Social Work第七部分书面表达（满分20分）阅读下面短文，并按照要求用英语写一篇150词左右的文章．101．（20分）Eating snacks can be a good way to stop your hunger and get the vitamins your body needs．But as teenagers you need to pay attention to what you eat．Choosing healthy snacks means shopping smartly．Be careful of the health claims on food packages．Words on the package like"all natural"or"pure"don't always mean the food is good for you．Be careful of low﹣fat food claims，too．If the fat has been cut back，the amount of sugar in the food may have been increased to keep the food tasting good．Many low﹣fat foods have nearly as many calories as their full﹣fat versions．Here are some ways to make healthy snacking part of your everyday routine．★Keep plenty of fresh fruit and vegetables at home，so you can take them with you when you go out．★Satisfy your cravings with healthier foods．If you are crazy about chocolate，try a hot chocolate drink instead of a chocolate bar．If you want something salty，eatwhole grain biscuits instead of potato chips．Besides，it is wise for you to replace ice ﹣cream with yogurt．★Pay attention to the amount you eat．As with everything，moderation（适度）is the key to smart snacking．【写作内容】1．用约30个单词概述上述信息的主要内容；2．简述摄取过多脂肪和热量的负面影响；3．你对"零食控"的建议．【写作要求】1．写作过程中不能直接引用原文语句；2．作文中不能出现真实姓名和学校名称；3．不必写标题．【评分标准】内容完整，语音规范，语篇连贯，词数适当．参考词汇：肥胖obesity．2016-2017学年江苏省南通市启东中学高二（下）期中英语试卷参考答案与试题解析第一部分听力（共两节，满分20分）1．（1分）What will the woman probably do this evening？A．Attend a lecture．B．Go skating．C．Visit Lisa．【分析】略【解答】B【点评】略2．（1分）What are the speakers talking about？A．A hotel．B．A church．C．A storm．【分析】略【解答】C【点评】略3．（1分）What does the woman suggest the man do？A．Call George．B．Cancel his meeting．C．Have class first．【分析】略【解答】A【点评】略4．（1分）What will the man buy？A．Carrots．B．Potatoes．C．Onions．【分析】略【解答】C【点评】略5．（1分）When will the next movie begin？A．At 6：00 pm．B．At 7：00 pm．C．At 7：30 pm．【分析】略【解答】C【点评】略6．（2分）听第6段材料，回答第6、7题．6．What present did the woman get？A．A bag．B．A T﹣shirt．C．A book．7．Who got a DVD as a present？A．The man's dad．B．The man's granddad．C．The man's brother．【分析】略【解答】AC【点评】略8．（2分）听第7段材料，回答第8至9题．8．Where does the man come from？A．Canada．B．China．C．America．9．What is the woman probably doing？A．Seeing off the man．B．Picking up her friend．C．Catching her plane．【分析】略【解答】BA【点评】略10．（3分）听第8段材料，回答第10至12题．10．What kind of room does the man book？A．A standard room with a back view．B．A general room with a front view．C．A general room with a back view．11．How much will the man pay in total？A.560 yuan．B.780 yuan．C.900 yuan．12．When will the man leave the hotel？A．On Monday．B．On Saturday．C．On Sunday．【分析】略【解答】BCA【点评】略13．（4分）听第9段材料，回答第13至16题．13．What does the man think of his younger brother？A．Funny．B．Serious．C．Smart．14．What does the man's dad like doing？A．Taking photos．B．Growing flowers．C．Reading books．15．What do we know about the man's mom？A．She works very hard．B．She likes telling jokes．C．She likes detective stories．16．How many people are there in the man's Family？A．Four．B．Five．C．Six．【分析】略【解答】ABCB【点评】略17．（4分）听第10段材料，回答第17至20题．17．When are the high﹣heeled shoes in the museum from？A．The 1860s．B．The 1960s．C．The 1990s．18．Which of the following can visitors try on in this exhibition？A．The mini﹣skirts．B．The high﹣heeled shoes．C．The dresses．19．How long is the museum open on Saturdays？A．Seven hours．B．Seven and a half hours．C．Eight hours．20．Who is the special Family ticket for？A．One adult and one child．B．Two adults and two childrenC．Two adults and four children．【分析】略【解答】BCBC【点评】略第二部分英语知识运用（共两节）第一节单项填空（共15小题；每小题1分，满分15分）21．（1分）The actress looked so charming in her beautiful dress that we took ______ pictures with her．（）A．masses of B．a great many ofC．a large amount of D．the number of【分析】那个舞蹈演员穿着漂亮的衣服，非常迷人，所以我们拍了好多张她的照片．【解答】答案是A．考查词组的辨析．masses of 可以修饰可数名词和不可数名词，表示大量的；a great many of 一般指的是什么中的许多；a large amount of 修饰不可数名词，大量的；The number of…的数量．句意是：那个舞蹈演员穿着漂亮的衣服，非常迷人，所以我们拍了好多张她的照片．题干中pictures是可数名词picture的复数形式，故选A．【点评】解答此类题目，首先要掌握每个选项的含义及用法，然后根据语境选择正确的答案．22．（1分）Fame and wealth can be attractive，but ______ will they give you permanent happiness．（）A．in no time B．at a time C．at all times D．at no time【分析】名声和财富很吸引人，但是无论何时它们都给不了你永久的快乐．【解答】答案是D．考查词组辨析．in no time：立刻，马上；at a time 每次，一次；at all time 总是，随时；at no time 决不，无论何时也不．句意是：名声和财富很吸引人，但是无论何时它们都给不了你永久的快乐．故选D．【点评】解答此类题目，首先要掌握每个词组的含义及区别，然后根据语境选择正确的答案．23．（1分）No one is beyond the law，so it is _______ that the young talented university student was sentenced to death for murdering his roommate with poison．（）A．avoidable B．surprising C．reasonable D．astonishing【分析】句意：任何人都不能凌驾于法律之上，因此年轻有才华的大学生在投毒谋杀室友的案件中被判处死刑是合情合理的．【解答】答案：C A．avoidable可避免的；B．surprising令人惊讶的；C．reasonable 合理的；D．astonishing令人震惊的．根据句意可知：判死刑是合理的，所以选C．【点评】考查形容词词义辨析．做此类题目，只要掌握每一个形容词的意思，然后再根据句意选出合适的形容词即可．24．（1分）﹣Glad to see you again．Haven't you graduated from Massachusetts Institute of Technology？﹣Yes．I _______ Engineering for four years there．（）A．have learned B．learned C．am learning D．had learned【分析】﹣﹣很高兴再次见到你．难道你还没从麻省理工大学毕业吗？﹣﹣不．我在那学习工程学学了四年．【解答】答案：B，考查动词的时态，句中表示描述"我在那学了四年"，动作发生在过去，因此使用一般过去时即可，故答案为B．【点评】考查时态的运用，句中有明显的时间状语时，要通过其来判断使用的时态．。
江苏省启东中学2016_2017学年高二英语上学期第一次月考试题
江苏省启东中学2016-2017学年度第一学期第一次月考高二英语试卷第I卷（选择题共85分）第一部分：听力（共两节，20小题，每小题1分，满分20分）第一节听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What is the woman doing now?A. Interviewing the man.B. Arranging an interview for the man.C. Introducing Mr. Sweeney to Mr. Jacobs.2. Where does the conversation take place?A. In a theatre.B. At home.C. In a hotel.3. What does the woman mean?A. The light isn’t bright enough.B. The dining hall isn’t large e nough.C. She agrees with the man.4. When will the dinner party be held?A. This weekend.B. Not sure.C. Next weekend.5. How does the woman like modern plays?A. They are really modern.B. They are not worth talking about.C. They are noisy.第二节听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
2016-2017学年江苏省南通市启东市高二(下)期末数学试卷及答案
2016-2017学年江苏省南通市启东市高二（下）期末数学试卷一、填空题（共14小题，每小题5分，满分70分）1．（5分）命题：∀x∈A，均有x∈B的否定是．2．（5分）函数f（x）＝的定义域是．3．（5分）集合{a，b，c}共有个子集．4．（5分）若从甲、乙、丙3位同学中选出2名代表参加学校会议，则甲被选中的概率是．5．（5分）从“充分不必要条件”、“必要不充分条件”、“充要条件”和“既不充分又不必要条件”中，选出恰当的一种填空：“a＝0”是“函数f（x）＝x2+ax（x∈R）为偶函数”的．6．（5分）若函数f（x）＝x3﹣ax2+1在x＝﹣4处取得极大值，则实数a的值为．7．（5分）已知命题p：指数函数f（x）＝（m+1）x是减函数；命题q：∃x∈R，x2+x+m＜0，若“p或q”是真命题，则实数m的取值范围是．8．（5分）已知函数f（x）是定义在R上的周期为4的奇函数，当0＜x＜2时，f（x）＝2x，则f（﹣）+f（4）＝．9．（5分）函数f（x）＝x+2cos x，x∈（0，π）的单调减区间是．10．（5分）已知函数f（x）＝log a（x+b）（a＞0，a≠1，b∈R）的图象如图所示，则a•b的值是．11．（5分）已知函数f（x）＝e x，g（x）＝x2+x+1，则与f（x），g（x）的图象均相切的直线方程是．12．（5分）若f（x）＝|﹣x2+（m﹣1）x+3﹣m|在[﹣1，0]上是减函数，则m的取值范围是．13．（5分）设函数f（x）＝ax3+3x﹣1（x∈R），若对于任意的x∈[0，1]都有f（x）≤0成立，则实数a的取值范围是．14．（5分）已知函数f（x）＝，函数g（x）＝（k∈N*），若函数y＝f（x）﹣g（x）仅有1个零点，则正整数k的最大值是．二、解答题（共10小题，满分90分）15．（14分）设U＝R，A＝{x|x≤2，或x≥5}，B＝，C＝{x|a＜x＜a+1}（1）求A∪B和（∁U A）∩B（2）若B∩C＝C，求实数a的取值范围．16．（14分）已知函数f（x）＝x2﹣2ax+2b（1）若a，b都是从0，1，2，3四个数中任意取的一个数，求函数f（x）有零点的概率；（2）若a，b都是从区间[0，3]中任取的一个数，求f（1）＜0成立时的概率．17．（14分）已知函数f（x）＝的定义域为R（1）当a＝2时，求函数f（x）的值域（2）若函数f（x）是奇函数，①求a的值；②解不等式f（3﹣m）+f（3﹣m2）＞0．18．（16分）如图，半圆AOB是某市休闲广场的平面示意图，半径OA的长为10，管理部门在A，B两处各安装好一个光源，其相应的光强度分别为4和9，根据光学原理，地面上某处照度y与光强度I成正比，与光源距离x的平方成反比，即y＝（k为比例系数），经测量，在弧AB的中心C处的照度为130．（C处的照度为A，B两处光源的照度之和）（1）求比例系数k的值；（2）现在管理部门计划在半圆弧AB上，照度最小处增设一个光源P，试问新增光源P 安装在什么位置？19．（16分）已知函数f（x）是定义在R上的奇函数，且当x＞0时，f（x）＝log2x，g（x）＝2log2（2x+a），a∈R（1）求函数f（x）的解析式；（2）若对任意x∈[1，4]，f（4x）≤g（x），求实数a的取值范围；（3）设a＞﹣2，求函数h（x）＝g（x）﹣f（x），x∈[1，2]的最小值．20．（16分）已知函数f（x）＝lnx﹣（a＞0）（1）若函数f（x）在x＝2处的切线与x轴平行，求实数a的值；（2）讨论函数f（x）在区间[1，2]上的单调性；（3）证明：＞e．21．求下列函数的导数：（1）y＝ln；（2）y＝e﹣x•sin2x．22．设数组A＝（x1，x2，x3，x4，x5），其中x i∈{﹣1，0，1}，i＝1，2，3，4，5，求满足条件“x1+x2+x3+x4+x5＝1“的数组A的个数．23．在校运动会上，甲、乙、丙三位同学每人均从跳远，跳高，铅球，标枪四个项目中随机选一项参加比赛，假设三人选项目时互不影响，且每人选每一个项目时都是等可能的（1）求仅有两人所选项目相同的概率；（2）设X为甲、乙、丙三位同学中选跳远项目的人数，求X的分布列和数学期望E（X）24．在（1+x+x2）n＝x x2+…x r+…x2n﹣1x2n的展开式中，把，，…，…，叫做三项式系数（1）求的值（2）根据二项式定理，将等式（1+x）2n＝（1+x）n（x+1）n的两边分别展开可得，左右两边x n的系数相等，即＝（）2+（）2+（）2+…+（）2，利用上述思想方法，请计算﹣+﹣…+（﹣1）r+..的值．2016-2017学年江苏省南通市启东市高二（下）期末数学试卷参考答案与试题解析一、填空题（共14小题，每小题5分，满分70分）1．【考点】2J：命题的否定．【解答】解：全称命题的否定是特称命题，对于集合A，B，命题：“∀x∈A，则x∈B”的否定形式为：命题：“∃x∈A，则x∉B”．故答案为：∃x∈A，则x∉B．【点评】本题考查命题的否定，注意全称命题与特称命题的否定关系，属于基础题．2．【考点】33：函数的定义域及其求法．【解答】解：由2x+5≥0，得x≥﹣．∴函数f（x）＝的定义域是[﹣，+∞）．故答案为：[﹣，+∞）．【点评】本题考查函数的定义域及其求法，是基础的计算题．3．【考点】16：子集与真子集．【解答】解：根据题意，集合{a，b，c}共3个元素，则其有23＝8个子集，故答案为：8．【点评】本题考查集合的子集，要掌握集合的元素数目与其子集数目的关系．4．【考点】CB：古典概型及其概率计算公式．【解答】解：从甲、乙、丙3位同学中选出2名代表参加学校会议，基本事件总数n＝，甲被选中包含的基本事件个数m＝，∴甲被选中的概率是p＝．故答案为：．【点评】本题考查概率的求法，是基础题，解题时要认真审题，注意等可能事件概率计算公式的合理运用．5．【考点】29：充分条件、必要条件、充要条件．【解答】解：若f（x）＝x2+ax（x∈R）为偶函数，则f（﹣x）＝f（x），即x2﹣ax＝x2+ax，即﹣ax＝ax，则﹣a＝a，即a＝0，则“a＝0”是“函数f（x）＝x2+ax（x∈R）为偶函数”的充要条件，故答案为：充要条件【点评】本题主要考查充分条件和必要条件的判断，结合函数奇偶性的定义求出a的值是解决本题的关键．6．【考点】6D：利用导数研究函数的极值．【解答】解：f′（x）＝x2﹣2ax＝x（x﹣2a），令f′（x）＝0，解得；x＝0或x＝2a，若函数f（x）＝x3﹣ax2+1在x＝﹣4处取得极大值，则2a＝﹣4，解得：a＝﹣2，故答案为：﹣2．【点评】本题考查了函数的单调性、极值问题，考查导数的应用，是一道基础题．7．【考点】2E：复合命题及其真假．【解答】解：命题p：指数函数f（x）＝（m+1）x是减函数，则0＜m+1＜1，解得﹣1＜m＜0．命题q：∃x∈R，x2+x+m＜0，则△＝1﹣4m＞0，解得m．若“p或q”是真命题，则﹣1＜m＜0或m．解得m．则实数m的取值范围是．故答案为：．【点评】本题考查了简易逻辑的判定方法、不等式的解法、函数的单调性，考查了推理能力与计算能力，属于基础题．8．【考点】3Q：函数的周期性．【解答】解：∵函数f（x）是定义在R上的周期为4的奇函数，当0＜x＜2时，f（x）＝2x，∴f（﹣）+f（4）＝f（﹣﹣4）+f（4）＝f（﹣）+f（0）＝﹣f（）+0＝﹣＝﹣．故答案为：﹣．【点评】本题考查函数值的求法，考查函数的周期性、奇偶性等基础知识，考查推理论证能力、运算求解能力，考查化归与转化思想、函数与方程思想，是基础题．9．【考点】6B：利用导数研究函数的单调性．【解答】解：∵函数y＝x+2cos x由y′＝1﹣2sin x＜0，得sin x＞，又∵x∈（0，π）∴x∈（，）故答案为：（，）．【点评】本题主要考查用导数法求函数的单调区间．10．【考点】4N：对数函数的图象与性质．【解答】解：由图象得：，解得：，∴ab＝3，故答案为：3．【点评】本小题主要考查对数函数的图象、对数函数的图象的应用、方程组的解法等基础知识，考查运算求解能力，考查数形结合思想、化归与转化思想．属于基础题．11．【考点】6H：利用导数研究曲线上某点切线方程．【解答】解：设所求直线l与函数f（x）的图象相切，切点为（t，e t），函数f（x）＝e x，导数为f′（x）＝e x，则直线l的方程为y﹣e t＝e t（x﹣t），即y＝e t x+e t（1﹣t），直线l与函数g（x）的图象相切的充要条件是关于x的方程e t x+e t（1﹣t）＝x2+x+1，即x2+（1﹣e t）x+1﹣e t（1﹣t）＝0有两个相等的实数根，∴△＝e2t﹣2e t+1﹣2+2e t（1﹣t）＝0，化为e2t﹣2te t﹣1＝0，设φ（t）＝e2t﹣2te t﹣1，φ′（t）＝2e2t﹣2（t+1）e t＝2e t（e t﹣t﹣1），由h（t）＝e t﹣t﹣1的导数为h′（t）＝e t﹣1，当t＞0时，h（t）递增；当t＜0时，h（t）递减．可得h（t）≥h（0）＝0，即有φ′（t）≥0，即φ（t）在R上递增，由φ（0）＝0，e2t﹣2te t﹣1＝0的解为t＝0，存在唯一一条直线l与函函数f（x）与g（x）的图象均相切，其方程为y＝x+1．故答案为：y＝x+1．【点评】该题考查导数的几何意义，直线方程的知识，考查学生的推理能力及运算求解能力，属于中档题．12．【考点】3E：函数单调性的性质与判断．【解答】解：f（x）＝|﹣x2+（m﹣1）x+3﹣m|＝|x2+（1﹣m）x+m﹣3|的判别式△＝（m﹣3）2+4＞0，∴x2+（1﹣m）x+m﹣3＝0有2个不等实数根，设这两个根为a、b，且a＜b，∵f（x）在[﹣1，0]上是减函数，∴a≥0 ①，如图（1）所示：或②，如图（2）所示．由①可得≥0，即m﹣1≥，即（m﹣1）2≥（m﹣3）2+4，求得m≥3．由②可得△≥（m﹣1）2，求得m≤﹣1．综上可得，m的取值范围为：[3，+∞）∪（﹣∞，﹣1]，故答案为：[3，+∞）∪（﹣∞，﹣1]．【点评】本题主要考查二次函数、带有绝对值的函数的图象和性质，属于中档题．13．【考点】3R：函数恒成立问题．【解答】解：若x＝0，则不论a取何值，f（x）≤0都成立；当x∈（0，1]时，f（x）＝ax3+3x﹣1≤0可化为：a≤令g（x）＝，g′（x）＝所以g（x）在区间（0，]上单调递减，在区间[，1]上单调递增，因此g（x）min＝g（）＝﹣4，从而a≤﹣4；即有实数a的取值范围为（﹣∞，﹣4]．故答案为：{﹣∞，﹣4]【点评】本题考查不等式恒成立问题，解题时要认真审题，分离参数法是处理恒成立的常见方法，属于中档题．14．【考点】52：函数零点的判定定理．【解答】解：作出f（x）的函数图象如图所示：∵k是正整数，∴g（x）与f（x）的图象在第二象限必有一交点，又y＝f（x）﹣g（x）仅有1个零点，∴＜在（1，+∞）上恒成立．即k＜在（1，+∞）上恒成立，∵＝＝2（x﹣1）++4≥4+4＝8，当且仅当x﹣1＝即x＝2时取等号，∴k＜8．∴正整数k的最大值为7．故答案为：7．【点评】本题考查了函数零点与函数图象的关系，属于中档题．二、解答题（共10小题，满分90分）15．【考点】18：集合的包含关系判断及应用；1H：交、并、补集的混合运算．【解答】解：（1）U＝R，A＝{x|x≤2，或x≥5}，∁U A＝{x|2＜x＜5}，B＝＝{x|＜0}＝{x|（x+2）（x﹣7）＜0}＝{x|﹣2＜x＜7}，可得A∪B＝R；（∁U A）∩B＝{x|2＜x＜5}；（2）B∩C＝C，可得C⊆B，C＝{x|a＜x＜a+1}，B＝{x|﹣2＜x＜7}，则﹣2≤a且a+1≤7，解得﹣2≤a≤6．则a的取值范围是[﹣2，6]．【点评】本题考查集合的混合运算，注意运用定义法解题，同时考查分式不等式的解法，以及集合的包含关系，考查运算能力，属于中档题．16．【考点】3V：二次函数的性质与图象；CF：几何概型．【解答】解：（1）由题意知本题是一个古典概型，试验发生包含的事件a，b都从0，1，2，3四个数中任取的一个数的基本事件总数为N＝4×4＝16个，函数有零点的条件为△≥0，4a2﹣8b≥0，即a2≥2b，∵事件“a2≥2b”包含：（0，0），（1，0），（2，0），（2，1），（2，2），（3，0），（3，1），（3，2），（3，3）共有9个∴事件“a2≥2b”的概率为p＝；（2）f（1）＝1﹣2a+2b＜0，∴a﹣b＞则a，b都是从区间[0，3]任取的一个数，有f（1）＜0，即满足条件：转化为几何概率如图所示，阴影部分面积为∴事件“f（1）＜0”的概率为p＝．【点评】古典概型和几何概型是我们学习的两大概型，古典概型要求能够列举出所有事件和发生事件的个数，而不能列举的就是几何概型，几何概型的概率的值是通过长度、面积、和体积、的比值得到17．【考点】34：函数的值域；3K：函数奇偶性的性质与判断．【解答】解：（1）根据题意，若a＝2，则f（x）＝，则有3x＝﹣，又由3x＞0，则有＜0，解可得：﹣1＜y＜1，即函数f（x）＝的值域为{y|﹣1＜y＜1}；（2）①、若函数f（x）是奇函数，且其定义域为R，则有f（0）＝＝＝0，解可得a＝1，②、由①可得，f（x）＝＝1﹣，分析易得函数f（x）在R上增函数；f（3﹣m）+f（3﹣m2）＞0⇒f（3﹣m）＞﹣f（3﹣m2）⇒f（3﹣m）＞f（m2﹣3）⇒3﹣m ＞m2﹣3⇒m2+m﹣6＜0，解可得：﹣3＜m＜2，则不等式f（3﹣m）+f（3﹣m2）＞0解集为{m|﹣3＜m＜2}．【点评】本题考查函数的奇偶性与单调性的综合应用，涉及函数值域的求法，（2）的关键是求出a的值．18．【考点】7F：基本不等式及其应用．【解答】解：（1）∵半径为r＝10，∴BC＝AC＝10∵y＝，则点C受光源A的照度为，点C受光源B的照度为，∴+＝130，解得k＝2000（2）由（1）可得y＝，设新增光源P距离AP＝x处，则y＝+，∴y＝5[x2+（400﹣x2）]＝5≥5•＝125，当且仅当x＝4时取等号．新增光源P安装在距离点A出4时．【点评】本题主要考查了函数模型的选择与应用、基本不等式的性质、函数的最值的求解，考查了推理能力与计算能力，属于中档题．19．【考点】3K：函数奇偶性的性质与判断．【解答】解：（1）若x＜0，则﹣x＞0，∴f（﹣x）＝log2（﹣x），∵f（x）是奇函数，∴f（x）＝﹣f（﹣x）＝﹣log2（﹣x），又f（0）＝0，∴f（x）＝．（2）由f（4x）≤g（x）得log2（4x）≤2log2（2x+a），∴（2x+a）2≥4x，∵2x+a＞0，x＞0，即2x+a≥2，∴a≥2﹣2x，设＝t，则t∈[1，2]，令p（t）＝2t﹣2t2，则p（t）在[1，2]上单调递减，∴﹣4≤p（t）≤0．∴a≥0．（3）h（x）＝g（x）﹣f（x）＝2log2（2x+a）﹣log2x＝log2，令q（x）＝＝4x++4a，令q′（x）＝0得x＝，①若≤1即﹣2＜a≤2时，q（x）在[1，2]上单调递增，∴q（x）的最小值为q（1）＝a2+4a+4＝（a+2）2，∴h（x）的最小值为log2（a+2）2＝2log2（a+2）；②若≥2即a≥4时，q（x）在[1，2]上单调递减，∴q（x）的最小值为q（2）＝8++4a＝（a+4）2，∴h（x）的最小值为log2[（a+4）2]＝﹣1+2log2（a+4）；③若1＜＜2即2＜a＜4时，q（x）在[1，2]上先减后增，∴q（x）的最小值为q（）＝8a，∴h（x）的最小值为log2（8a）＝3+log2a．综上：当﹣2＜a≤2时，h（x）的最小值为2log2（a+2）；当2＜a＜4时，h（x）的最小值为3+log2a；当a≥4时，h（x）的最小值为﹣1+2log2（a+4）．【点评】本题考查了奇函数的性质，函数单调性与函数最值的计算，考查分类讨论思想，属于中档题．20．【考点】6B：利用导数研究函数的单调性；6H：利用导数研究曲线上某点切线方程．【解答】解：（1）∵，（x＞0）∵函数f（x）在x＝2处的切线与x轴平行∴f′（2）＝，解得a＝（2）∵＝，（x＞0，a＞0）令h（x）＝ax2+（2a﹣2）x+a，（a＞0），△＝4﹣8a①）当△＝4﹣8a≤0，即a时，f′（x）≥0在（0，+∞）恒成立，此时函数f（x）在区间[1，2]上单调递增；②当△＝4﹣8a＞0，即0＜a时，抛物线y＝ax2+（2a﹣2）x+a的图象如下，与横轴交点横坐标为x1＝，x2＝h（1）＝4a﹣2＜0，h（2）＝9a﹣4当h（2）＝9a﹣4≤0，即0时，h（x）≤0在（1，2）上恒成立，∴f′（x）≤0在（1，2）上恒成立，此时函数f（x）在区间[1，2]上单调递减当h（2）＝9a﹣4＜0，即时，h（x）≤0在（1，x2）上恒成立，h（x）≥0在（x2，2）上恒成立，此时函数f（x）在区间[1，]上单调递减，在（，2）上单调递增．（3）由（2）可知，当a＝0.5时，函数f（x）在区间[1，2]上单调递增；即lnx在区间[1，2]上恒成立．令x＝1+，（n∈N+），则有ln（1+）＞⇒（n+0.5）ln＞1⇒ln（）n+0.5＞1⇒，令n＝2017，可得＞e．【点评】本题考查了导数的几何意义，利用导数求单调性，利用导数证明数列不等式，考查了分类讨论思想、转化思想，属于难题．21．【考点】63：导数的运算．【解答】解：（1）y＝ln＝﹣ln（2x+1），则y′＝﹣•（2x+1）′＝﹣；（2）y＝e﹣x•sin2x，则y′＝（e﹣x）′sin2x+e﹣x•（sin2x）′＝﹣e﹣x sin2x+2e﹣x•cos2x．【点评】本题考查了导数的运算法则和复合函数的求导法则，属于基础题．22．【考点】D3：计数原理的应用．【解答】解：根据题意，∵x1+x2+x3+x4+x5＝1，x i∈{0，1，﹣1}，i＝1，2，3，4，5；∴x i中有1个1和4个0，或2个1、1个﹣1和2个0，或3个1和2个﹣1，共有C51+C52C32+C53＝5+30+10＝45，故满足条件“x1+x2+x3+x4+x5＝1“的数组A的个数为45【点评】本题通过集合的概念，考查了排列组合的应用问题，解题时应深刻理解题意，抓住问题的关键，进行解答问题，是基础题．23．【考点】CG：离散型随机变量及其分布列；CH：离散型随机变量的期望与方差．【解答】解：（1）甲、乙、丙三位同学每人均从跳远，跳高，铅球，标枪四个项目中随机选一项参加比赛，假设三人选项目时互不影响，且每人选每一个项目时都是等可能的，基本事件总数n＝43＝64，仅有两人所选项目相同包含的基本事件个数m＝＝36，∴仅有两人所选项目相同的概率p＝＝．（2）由题意X的可能取值为0，1，2，3，P（X＝0）＝＝，P（X＝1）＝＝，P（X＝2）＝＝，P（X＝3）＝＝，∴X的分布列为：EX＝＝．【点评】本题考查概率的求法，考查离散型随机变量的分布列和数学期望的求法，考查推理论证能力、运算求解能力，考查化归与转化思想，是中档题．24．【考点】DA：二项式定理．【解答】解：（1）令x＝1，则D40+D41+D42+D43+D44+D45+D46+D47+D48＝34＝81，令x＝﹣1，则D40﹣D41+D42﹣D43+D44﹣D45+D46﹣D47+D48＝（1﹣1+1）4＝1，∴＝[（D40+D41+D42+D43+D44+D45+D46+D47+D48）+（D40﹣D41+D42﹣D43+D44﹣D45+D46﹣D47+D48）]＝×（81+1）＝41；（2）∵（1+x+x2）2017＝D20170+D20171x+D20172x2+…+D2017rxr+…+D2*******x4033+D2*******x4034，（x﹣1）2017＝C20170x2017﹣C20171x2016+C20172x2015﹣C20173x2015+…+﹣C20172016x+C20172017，其中其中x2017系数为D20170C20170﹣D20171C20171+D20172C20172﹣D20173C20173+…+（﹣1）r+..∵（1+x+x2）2017•（x﹣1）2017＝（x3﹣1）2017，而二项式的（x3﹣1）2017的通项公式T r+1＝C2017r（﹣1）r（x3）2017﹣r，因为2017不是3的倍数，所以（x3﹣1）2017的展开式中没有x2017项，由代数式恒成立，D20170C20170﹣D20171C20171+D20172C20172﹣D20173C20173+…+（﹣1）r+..＝0．【点评】本题主要考查二项式定理的应用，二项展开式的通项公式，二项式系数的性质，属于难题．。
2017-2018学年江苏省南通市启东市高二下学期期末考试英语试题 Word版
第Ⅰ卷（选择题三部分共85分）第一部分听力（共两节，满分20分）第一节（共5小题；每小题1分，满分5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. Where did the woman probably leave her hat?A. In a restaurant.B. In a car.C. In a shop.2. What does the woman want to do?A. Change the time of the meeting.B. Cancel (取消)the meeting.C. Skip the meeting.3. When does the conversation probably take place?A. In the morning.B. Late at night. C, In the afternoon.4. What does the woman say about Tom?A. He lost his job.B. He got a serious disease.C. He is occupied with troubles.5. What is the man doing?A. Offering a suggestion.B. Starting an argument.C. Stopping a fight.第二节（共15小题；每小题1分，满分15分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6至7题。
江苏省启东中学2016_2017学年高一下学期期中考试英语试题
省启东中学2016-2017学年度第二学期期中考试高一英语试卷命题人：施东群第I卷〔选择题共85分〕第一局部：听力(共两节,总分值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三个选项中选出最正确选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来答复有关小题和阅读下一小题。
每段对话仅读一遍。
1. What does the man mean?A. They don’t deliver〔送〕.B. They always deliver.C. They do deliveries for orders over $15.2. How did the man spend his time while waiting for the woman?A. By looking around.B. By staying in a cafe.C. By taking a walk.3. Where are the two speakers probably at the moment?A. On the platform.B. At the information desk.C. Near the stairs.4. What is Kate doing?A. Watching TV.B. Washing her hair.C. Writing an article.5. Why will the woman call the man?A. To tell him about the assignment.B. To get in touch with the man’s roommate.C. To finish the assignment with the man.听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最正确选项，并标在试卷的相应位置。
江苏省启东中学高二英语下学期第二次质量检测试题
江苏省启东中学2014-2015学年度第二学期第二次质量检测高二英语试卷本试卷分为第一卷（选择题）和第二卷（非选择题）两部分，共八大题。
满分120分。
考试用时120分钟。
第一卷（三部分，共85分）第一部分：听力（共两节，满分20分）做题时，先将答案划在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
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，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.What are the two speakers talking about?A . A beautiful dress B. Dress to buy C. The warm weather2. What is the woman’s job most probably?A. A cookB. A managerC. A waitress3. How will the woman go to Washington?A. By trainB. By busC. By car4. Why can’t the woman visit her uncle now?A. She has to practice for the school concert.B. She has to go out with her dad.C.. She has to travel to Europe..5. What did the man think the weather in Arizona would be like in the coming week?A. Hot and rainyB. A bit coolC. Cold and rainy第二节（共15小题；每题1分，满分15分）听下面5段对话或独白。
江苏省启东市2016-2017学年高一英语下学期期中试题
江苏省启东市2016-2017学年高一英语下学期期中试题第I卷（选择题共85分）第一部分：听力(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，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What does the man mean?A. They don’t deliver（送）.B. They always deliver.C. They do deliveries for orders over $15.2. How did the man spend his time while waiting for the woman?A. By looking around.B. By staying in a cafe.C. By taking a walk.3. Where are the two speakers probably at the moment?A. On the platform.B. At the information desk.C. Near the stairs.4. What is Kate doing?A. Watching TV.B. Washing her hair.C. Writing an article.5. Why will the woman call the man?A. To tell him about the assignment.B. To get in touch with the man’s roommate.C. To finish the assignment with the man.听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
江苏省启东市高一英语下学期期中试题
江苏省启东市2016-2017学年高一英语下学期期中试题第I卷（选择题共85分）第一部分：听力(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，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What does the man mean?A. They don’t deliver（送）.B. They always deliver.C. They do deliveries for orders over $15.2. How did the man spend his time while waiting for the woman?A. By looking around.B. By staying in a cafe.C. By taking a walk.3. Where are the two speakers probably at the moment?A. On the platform.B. At the information desk.C. Near the stairs.4. What is Kate doing?A. Watching TV.B. Washing her hair.C. Writing an article.5. Why will the woman call the man?A. To tell him about the assignment.B. To get in touch with the man’s roommate.C. To finish the assignment with the man.听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
2016-2017年江苏省南通市启东中学高一下学期期中数学试卷及参考答案(创新班)
2016-2017学年江苏省南通市启东中学高一（下）期中数学试卷（创新班）一.填空题（每题5分，共70分）1．（5分）已知全集U={0，1，2，3，4}，集合A={1，2，3}，B={2，4}，则（∁A）∪B=．U2．（5分）A={（x，y）|y=2x+5}，B={（x，y）|y=1﹣2x}，则A∩B=．3．（5分）2弧度圆心角所对的弦长为2sin1，则这个圆心角所夹扇形的面积为．4．（5分）在映射f：A→B中，A=B={（x，y）|x，y∈R}，且f：（x，y）→（x+y，x﹣y），则与A中的元素（1，2）对应的B中的元素为．5．（5分）函数f（x）=+lg（3x+1）的定义域是．6．（5分）（）﹣×（﹣）0+8×﹣=．7．（5分）已知函数f（x）=，若关于x的方程f（x）=k有三个不同的实根，则实数k的取值范围是．8．（5分）方程log2x+=1的解是．9．（5分）已知角α终边经过点，且，则sinα=．10．（5分）已知函数是R上的增函数，则a的取值范围是．11．（5分）函数的一个零点在区间（1，2）内，则实数a的取值范围是．12．（5分）f（x）是R上的以3为周期的奇函数，且f（2）=0，则f（x）=0在[0，6]内解的个数为．13．（5分）已知函数是偶函数，直线y=t与函数y=f（x）的图象自左向右依次交于四个不同点A，B，C，D．若AB=BC，则实数t的值为．14．（5分）设集合A={x|x2+2x﹣3＞0}，集合B={x|x2﹣2ax﹣1≤0，a＞0}．若A ∩B中恰含有一个整数，则实数a的取值范围是．二．解答题（共90分）15．（15分）设集合A={x|﹣1≤x≤2}，B={x|x2﹣（2m+1）x+2m＜0}．（1）当m＜时，把集合B用区间表达；（2）若A∪B=A，求实数m的取值范围．16．（15分）已知，且．（1）化简f（a）；（2）若，求的值．17．（15分）f（x）是定义在（0，+∞）上的减函数，满足f（x）+f（y）=f（xy）．（1）求证：；（2）若f（4）=﹣4，解不等式．18．（15分）某上市股票在30天内每股的交易价格P（元）与时间t（天）组成有序数对（t，P），点（t，P）落在下图中的两条线段上，该股票在30天内（包括30天）的日交易量Q（万股）与时间t（天）的部分数据如下表所示．（1）根据提供的图象，写出该种股票每股交易价格P（元）与时间t（天）所满足的函数关系式；（2）根据表中数据确定日交易量Q（万股）与时间t（天）的一次函数关系式；（3）在（2）的结论下，用y（万元）表示该股票日交易额，写出y关于t的函数关系式，并求出这30天中第几日交易额最大，最大值为多少？19．（15分）已知函数f（x）=ax2+bx+c（a≠0）满足f（0）=﹣1，对任意x∈R 都有f（x）≥x﹣1，且f（﹣+x）=f（﹣﹣x）．（1）求函数f（x）的解析式；（2）是否存在实数a，使函数g（x）=log[f（a）]x在（﹣∞，+∞）上为减函数？若存在，求出实数a的取值范围；若不存在，说明理由．20．（15分）已知函数f（x）=为偶函数．（1）求实数a的值；（2）记集合E={y|y=f（x），x∈{﹣1，1，2}}，λ=（lg 2）2+lg 2lg 5+lg 5﹣，判断λ与E的关系；（3）当x∈[，]（m＞0，n＞0）时，若函数f（x）的值域为[2﹣3m，2﹣3n]，求m，n的值．2016-2017学年江苏省南通市启东中学高一（下）期中数学试卷（创新班）参考答案与试题解析一.填空题（每题5分，共70分）1．（5分）已知全集U={0，1，2，3，4}，集合A={1，2，3}，B={2，4}，则（∁A）∪B={0，2，4} ．U【解答】解：因为全集U={0，1，2，3，4}，集合A={1，2，3}，B={2，4}，则∁U A={0，4}，（∁U A）∪B={{0，2，4}．故答案为：{0，2，4}．2．（5分）A={（x，y）|y=2x+5}，B={（x，y）|y=1﹣2x}，则A∩B={（﹣1，3）} ．【解答】解：由A={（x，y）|y=2x+5}，B={（x，y）|y=1﹣2x}，联立得：，解得：x=﹣1，y=3，则A∩B={（﹣1，3）}．故答案为：{（﹣1，3）}3．（5分）2弧度圆心角所对的弦长为2sin1，则这个圆心角所夹扇形的面积为1．【解答】解：由已知，在弦心三角形中，sin1=，∴r=1，设2弧度的圆心角θ所对的弧长为l，∴S=lr=r2θ==1，故选：B．4．（5分）在映射f：A→B中，A=B={（x，y）|x，y∈R}，且f：（x，y）→（x+y，x﹣y），则与A中的元素（1，2）对应的B中的元素为（3，﹣1）．【解答】解：由映射的对应法则f：（x，y）→（x+y，x﹣y），故A中元素（1，2）在B中对应的元素为（1+2，1﹣2），即（3，﹣1），故答案是：（3，﹣1）．5．（5分）函数f（x）=+lg（3x+1）的定义域是（﹣，1）．【解答】解：由，解得：﹣．∴函数f（x）=+lg（3x+1）的定义域是（﹣，1）．故答案为：（﹣，1）．6．（5分）（）﹣×（﹣）0+8×﹣=．【解答】解：（）﹣×（﹣）0+8×﹣=+×﹣=2﹣=．故答案为：．7．（5分）已知函数f（x）=，若关于x的方程f（x）=k有三个不同的实根，则实数k的取值范围是（﹣1，0）．【解答】解：画出函数f（x）的图象（红色曲线），如图示：，令y=k，由图象可以读出：﹣1＜k＜0时，y=k和f（x）有3个交点，即方程f（x）=k有三个不同的实根，故答案为：（﹣1，0）．8．（5分）方程log2x+=1的解是1．【解答】解：原方程可化为log2x+log2（x+1）=1，∴log2x（x+1）=1，∴x（x+1）=2，又x＞0，解得x=1．因此方程的解为x=1．故答案为：x=1．9．（5分）已知角α终边经过点，且，则sinα=．【解答】解：由题意，，∴m=3，∴sinα==，故答案为．10．（5分）已知函数是R上的增函数，则a的取值范围是[﹣3，﹣2] ．【解答】解：要使函数在R上为增函数，须有f（x）在（﹣∞，1]上递增，在（1，+∞）上递增，且，所以有，解得﹣3≤a≤﹣2，故a的取值范围为[﹣3，﹣2]．故答案为：[﹣3，﹣2]．11．（5分）函数的一个零点在区间（1，2）内，则实数a的取值范围是（0，3）．【解答】解：由题意可得f（1）f（2）=（0﹣a）（3﹣a）＜0，解得：0＜a＜3，故实数a的取值范围是（0，3），故答案为：（0，3）12．（5分）f（x）是R上的以3为周期的奇函数，且f（2）=0，则f（x）=0在[0，6]内解的个数为9．【解答】解：根据题意，函数f（x）的周期为3可得f（x+3）=f（x），由于f（2）=0，可得出f（5）=f（2）=0，x=2与x=5是方程f（x）=0的解；又由f（x）是R上的奇函数，则f（0）=0，又由函数f（x）的周期为3，则f（3）=f（6）=f（0）=0，即x=0、x=3、x=6是方程f（x）=0的解；又由f（x）为奇函数，则f（﹣2）=﹣f（2）=0，又可得出f（4）=f（1）=f（﹣2）=0，即x=1、x=4是方程f（x）=0的解；又由f（x）是周期为3的奇函数，则有f（﹣1.5）=﹣f（1.5）且f（﹣1.5）=f（1.5），则有f（1.5）=0，又由其周期为3，则有f（4.5）=f（1.5）=0，即x=1.5、x=4.5是方程f（x）=0的解；综合可得：x=2、x=5、x=0、x=3、x=6、x=1、x=4、x=1.5、x=4.5是方程f（x）=0的解，即f（x）=0在[0，6]内有9个解；故答案为：9．13．（5分）已知函数是偶函数，直线y=t与函数y=f（x）的图象自左向右依次交于四个不同点A，B，C，D．若AB=BC，则实数t的值为．【解答】解：因为f（x）是偶函数，所以x＞0时恒有f（﹣x）=f（x），即x2﹣bx+c=ax2﹣2x﹣1，所以（a﹣1）x2+（b﹣2）x﹣c﹣1=0，所以，解得a=1，b=2，c=﹣1，所以f（x）=，由t=x2+2x﹣1，即x2+2x﹣1﹣t=0，解得x=﹣1±，故x A=﹣1﹣，x B=﹣1+，由t=x2﹣2x﹣1，即x2﹣2x﹣1﹣t=0，解得x=1±，故x C=1﹣，因为AB=BC，所以x B﹣x A=x C﹣x B，即2=2﹣2，解得t=﹣，故答案为：﹣．14．（5分）设集合A={x|x2+2x﹣3＞0}，集合B={x|x2﹣2ax﹣1≤0，a＞0}．若A ∩B中恰含有一个整数，则实数a的取值范围是[，）．【解答】，解：由A中不等式变形得：（x﹣1）（x+3）＞0，解得：x＜﹣3或x＞1，即A={x|x＜﹣3或x＞1}，函数y=f（x）=x2﹣2ax﹣1的对称轴为x=a＞0，f（﹣3）=6a+8＜0，由对称性可得，要使A∩B恰有一个整数，即这个整数解为2，∴f（2）≤0且f（3）＞0，即，解得：，即≤a＜，则a的取值范围为[，）．故答案为：[，）二．解答题（共90分）15．（15分）设集合A={x|﹣1≤x≤2}，B={x|x2﹣（2m+1）x+2m＜0}．（1）当m＜时，把集合B用区间表达；（2）若A∪B=A，求实数m的取值范围．【解答】解：∵不等式x2﹣（2m+1）x+2m＜0⇔（x﹣1）（x﹣2m）＜0．（1）当m＜时，2m＜1，∴集合B={x|2m＜x＜1}=（2m，1）（2）若A∪B=A，则B⊆A，∵A={x|﹣1≤x≤2}，①当m＜时，B={x|2m＜x＜1}，此时﹣1≤2m＜1⇒﹣≤m＜；②当m=时，B=Ø，有B⊆A成立；③当m＞时，B={x|1＜x＜2m}，此时1＜2m≤2⇒＜m≤1；综上所述，所求m的取值范围是﹣≤m≤1．16．（15分）已知，且．（1）化简f（a）；（2）若，求的值．【解答】解：（1）∵，∴sinα∈（0，1），cosα∈（0，1），∴=cosα•+sinα•=1﹣sinα+1﹣cosα=2﹣sinα﹣cosα．（2）∵=2﹣sinα﹣cosα，∴sinα+cosα=，∴两边平方可得：1+2sinαcosα=，解得：sinαcosα=，∴====．17．（15分）f（x）是定义在（0，+∞）上的减函数，满足f（x）+f（y）=f（xy）．（1）求证：；（2）若f（4）=﹣4，解不等式．【解答】解：（1）证明：∵f（x）+f（y）=f（xy），将x代换为，则有，∴；（2）∵f（x）+f（y）=f（xy），∴﹣12=﹣4+（﹣4）+（﹣4）=f（4）+f（4）+f（4）=f（64），∵，∴f（x）﹣f（）=f[x（x﹣12）]，∴不等式等价于f[x（x﹣12）]≥f（64），∵f（x）是定义在（0，+∞）上的减函数，∴，即，∴12＜x≤16，∴不等式的解集为{x|12＜x≤16}．18．（15分）某上市股票在30天内每股的交易价格P（元）与时间t（天）组成有序数对（t，P），点（t，P）落在下图中的两条线段上，该股票在30天内（包括30天）的日交易量Q（万股）与时间t（天）的部分数据如下表所示．（1）根据提供的图象，写出该种股票每股交易价格P（元）与时间t（天）所满足的函数关系式；（2）根据表中数据确定日交易量Q（万股）与时间t（天）的一次函数关系式；（3）在（2）的结论下，用y（万元）表示该股票日交易额，写出y关于t的函数关系式，并求出这30天中第几日交易额最大，最大值为多少？【解答】解：（1）（2）设Q=at+b（a，b为常数），将（4，36）与（10，30）的坐标代入，得．日交易量Q（万股）与时间t（天）的一次函数关系式为Q=40﹣t，0＜t≤30，t ∈N*．（3）由（1）（2）可得即当0＜t≤20时，当t=15时，y max=125；当上是减函数，y＜y（20）＜y（15）=125．所以，第15日交易额最大，最大值为125万元．19．（15分）已知函数f（x）=ax2+bx+c（a≠0）满足f（0）=﹣1，对任意x∈R 都有f（x）≥x﹣1，且f（﹣+x）=f（﹣﹣x）．（1）求函数f（x）的解析式；（2）是否存在实数a，使函数g（x）=log[f（a）]x在（﹣∞，+∞）上为减函数？若存在，求出实数a的取值范围；若不存在，说明理由．【解答】解：（1）由f（x）=ax2+bx+c（a≠0）及f（0）=﹣1∴c=﹣1 …（1分）又对任意x∈R，有．∴f（x）图象的对称轴为直线x=﹣，则﹣=﹣，∴a=b …（3分）又对任意x∈R都有f（x）≥x﹣1，即ax2+（b﹣1）x≥0对任意x∈R成立，∴，故a=b=1 …（6分）∴f（x）=x2+x﹣1 …（7分）（2）由（1）知=（a2+a﹣1）x，其定义域为R…（8分）令u（x）=（a2+a﹣1）x要使函数g（x）=（a2+a﹣1）x在（﹣∞，+∞）上为减函数，只需函数u（x）=（a2+a﹣1）x在（﹣∞，+∞）上为增函数，…（10分）由指数函数的单调性，有a2+a﹣1＞1，解得a＜﹣2或a＞1 …（12分）故存在实数a，当a＜﹣2或a＞1时，函数在（﹣∞，+∞）上为减函数…（13分）20．（15分）已知函数f（x）=为偶函数．（1）求实数a的值；（2）记集合E={y|y=f（x），x∈{﹣1，1，2}}，λ=（lg 2）2+lg 2lg 5+lg 5﹣，判断λ与E的关系；（3）当x∈[，]（m＞0，n＞0）时，若函数f（x）的值域为[2﹣3m，2﹣3n]，求m，n的值．【解答】解：（1）函数f（x）=，则f（﹣x）==，又由函数f（x）为偶函数，则有f（﹣x）=f（x），即=，解可得a=﹣1；（2）由（1）可得a=﹣1，则f（x）=，则有f（1）=f（﹣1）=0，f（2）=，则集合E={y|y=f（x），x∈{﹣1，1，2}}={0，}，λ=（lg 2）2+lg 2lg 5+lg 5﹣=lg2（lg2+lg5）+lg5﹣=lg2+lg5﹣=，则有λ∈E；（3）由（1）可得a=﹣1，则f（x）==1﹣，则函数在（0，+∞）为增函数，若当x∈[，]（m＞0，n＞0）时，函数f（x）的值域为[2﹣3m，2﹣3n]，则有，解可得m=，n=，又由＜且m＞0，n＞0，则有0＜n＜m，则m=，n=．。
江苏省启东中学2016-2017学年高一下学期期中考试英语试题(创新班)缺答案
江苏省启东中学2017级创新班期中考试英语试卷第Ⅰ卷（选择题共60分）一、单项选择（本题共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，并在答题卡上将该项涂黑。
1. ---It's said that_________ earthquake hit Japan the other day．-—-______ bad news! Let's give a helping hand for the people there．A. an, How B。
a; How a C. an； What a D. an； What2. What a day! The car I ___________ seems to go wrong again。
A。
have repaired it B. had repaired C。
had repaired it D. have it repaired3。
——-How wonderful these paintings are! Which one do you think the artist？---Perhaps he __________ the one hanging on the wall。
A. satisfying；satisfies B。
satisfies with ; satisfiesC. satisfies ； is satisfied withD. satisfied with; is satisfied with4。
--My bike . May I go ？-—No problem！A。
broke, by yours B. broke down, on yoursC. was broken down, on yours D。
is broken, on yourself5. -—-Is Kate coming to the party this evening？-—-No, she _________ be at the party。
2016-2017学年江苏省启东中学高二下学期期中考试地理试题(带解析)
2016-2017学年江苏省启东中学高二下学期期中考试地理试题（带解析）一、选择题1996年我国与M国签订海洋渔业发展合作规划，至2010年我国有20多家沿海渔业企业（总部设在国内）在M国从事渔业捕捞和渔业产品加工，产品除满足M国需求外，还远销其他国家。
下图示意M国的位置，据此完成下题。
1．如果都以当地时间8：00~12：00和14：00~18：00作为工作时间，在M国的中资企业若在双方工作时间内向其总部汇报业务，应选在当时时间的A. 8：00~9：00B. 11：00~12：00C. 14：00~15：00D. 7：00~18：00【答案】A【解析】读图可以看出，M国（葡萄牙）大部分国土在东一区，应该是采用东一区时间，总部在中国，采用东八区时间，葡萄牙比北京时间晚八个小时，4个时段加8小时换算为北京时间，仍在工作时段的是8：00——9:00，故答案选A。
点睛：本题组以我国和葡萄牙的海洋渔业发展合作为背景材料，考查地球运动的地理意义等知识，同时考查学生空间定位能力和知识迁移应用能力。
该小题考查区时计算，首先根据经度确定摩洛哥采用零时区的区时，即可知道比北京时间晚8小时，然后计算4个时段对应的北京时间就可以完成。
读地球自转线速度随纬度变化图（甲图）和地球公转线速度变化图（乙图），回答下面小题。
2．甲图中P点的纬度，乙图中N点对应的月份分别是A. 60°、1月B. 30°、1月C. 60°、7月D. 30°、7月3．当地球公转线速度为N时，该日南通日出—正午—日落，旗杆的影子朝向变化可能是A. 东北—正北—西北B. 东南—正南—西南C. 东北—正南—西北D. 西南—正北—东南4．当地球公转线速度为M时A. 印度盛行西南季风B. 新西兰昼短夜长C. 松花江畔银装素裹D. 长三角高温多雨【答案】2．C3．D4．C【解析】2．根据所学内容，60°纬线的长度是赤道的一半，地球自转角速度相同，所以60°纬线的自转线速度是赤道上自转线速度的一半，所以P点纬度是60°。