上海南汇中学2015学年高三10月月考卷

合集下载

上海南汇中学2024-2025学年高三上学期10月月考化学试卷(等级)(含答案)

上海南汇中学2024-2025学年高三上学期10月月考化学试卷(等级)(含答案)

上海南汇中学2024学年第一学期10月月考高三化学(等级)满分:100分完成时间:60分钟相对分子质量:H-1 O-16 Fe-56 Cu-64 Se-79 Cd-112一、FeCl3溶液蚀刻铜箔制造电路板(18分)将30%的FeCl3溶液敷在绝缘板的铜片上,蚀刻铜箔制造电路板。

1. 基态29Cu原子的价电子排布式为__________。

2. 写出FeCl3溶液与铜反应的离子方程式:________________________________。

3. 蚀刻后所得溶液的成分进行测定,取少量待测溶液,滴入KSCN溶液后显红色,则该反应的离子方程式______________________________________;另取少量待测溶液滴入酸性KMnO4溶液,现象是__________________。

废液处理和资源回收的过程简述如下:(己知:室温下K sp[Fe(OH)3]= 4.0×10-38)I:向废液中投入过量铁屑,充分反应后分离出固体和滤液;II:向滤液中加入一定量石灰水,调节溶液pH,同时鼓入足量的空气。

4. 过程I分离得到固体的主要成分是_____________________。

5. 过程II中的化学方程式为_____________________________________________; _______________________________________________。

6. 过程II中在室温下调节溶液的pH为5,最终溶液中铁离子浓度为_______mol·L-1。

7. 假设现有200 mL 0.1 mol·L-1 FeCl2溶液,将操作II得到的固体充分灼烧,理想情况下该同学应该得到的固体质量为_______g。

二、重要的氮肥----尿素的合成(20分)尿素[CO(NH2)2]是一种重要的氮肥。

工业上以CO2和NH3为原料合成尿素,在尿素合成塔中的主要反应可表示如下:反应Ⅰ:2NH3(g) + CO2(g)H2NCOONH4(s) (氨基甲酸铵)ΔH1= -272 kJ·mol−1反应Ⅱ:H2NCOONH4(s) CO(NH2)2(s)+H2O(g) ΔH2= +138 kJ·mol−1总反应III:2NH3(g)+CO2(g)CO(NH2)2(s)+H2O(g) ΔH38. CO2的电子式为___________;NH3分子的空间结构为___________;1 mol CO(NH2)2中含有_____mol π键。

上海市南汇中学2024-2025学年高一上学期10月月考数学试卷

上海市南汇中学2024-2025学年高一上学期10月月考数学试卷

上海市南汇中学2024-2025学年高一上学期10月月考数学试卷学校:___________姓名:___________班级:___________考号:___________④存在a ,1P 不是2P 的子集,存在b ,使得1Q 是2Q 的子集.A .0个B .1个C .2个D .3个此时1,3,13x =,即可得{}1,3,13A =,所以集合A 的非空真子集的个数为3226-=个.故答案为:68.12-【分析】等式右边化简得2(2)ax a b x a b c +++++,根据题意由对应系数相等求出,,a b c 即可.【详解】()()22112a x b x c ax ax a bx b c ++++=+++++2(2)ax a b x a b c =+++++,所以2221(2)x x ax a b x a b c ++=+++++,所以2211a a b a b c =ìï+=íï++=î,解得232a b c =ìï=-íï=î,所以12abc =-.故答案为:12-.9.31m -<£【分析】根据给定条件,利用一元二次不等式恒成立列式求解即得.【详解】当1m =时,10-<恒成立,因此1m =;当1m ¹时,210Δ(1)4(1)0m mm -<ìí=-+-<î,解得31m -<<,因此31m -<<,所以实数m 的取值范围是31m -<£.故答案为:31m -<£显然P -中不包含负数,且一定包含0,故由P P -=知10x =.再由P P -=,13230x x x x =<-<,知322x x x -=,即322x x =.进一步有232424x x x x x x =-<-<,故423x x x -=,即42322223x x x x x x =+=+=.再进一步有342525x x x x x x =-<-<,故524x x x -=,即52422234x x x x x x =+=+=.所以1522224043x x x x x x x +=+=+=+.【点睛】关键点点睛:本题的关键在于理解P +和P -的定义,只有理解了定义,方可解决相应的问题.。

上海市南汇中学高三10月月考(英语).doc

上海市南汇中学高三10月月考(英语).doc

上海南汇中学高三第一学期10月考英语试题(满分150分,考试时间1)第Ⅰ卷(105分)I. Listening Comprehension(30%)Section A Short ConversationsDirections:In Part A,you will hear ten short conversations between two speakers.At the end of each conversation,a question will be asked about what was said.The conversations and the questions will be spoken only once.After you hear a conversation and the question about it,read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1.A.The man can correct his mistake later.B.The man answered four questions correctly.C.The man can’t change his answer now.D.The man didn’t begin the test on time.2.A.Writing an advertisement.B.Reading a newspaper.C.Playing a game.D.Discussing a book.3.A.$2.50 B.$1.00 C.$1.50 D.$2.004.A.John’s brother got them. B.They’re still at the laundry.C.John left them at home.D.They were picked up on Tuesday.5.A.A speech on television.B.An article in the newspaperC.A meeting with the President.D.A telephone conversation.6.A.1t was impossible for him to come to the party.B.He stayed at home to study for his exam.C.Everybody was surprised by his appearance at the party.D.He had expected to come to the party for a long time.7.A.The parking places are very far away.B.He isn’t very good at parking the car.C.There are enough parking places.D.He had no problem finding the park.8.A.He’ll ask Steve when he talks to him.B.He wants to make sure the weather is clear.C.He doesn’t know if they can get a room.D.He isn’t sure whether there’ll be space for Steve.9.A.At an airport B.At a travel agency.C.In a hotel.D.In Japan.10.A.Ask directions.B.Walk to the shopping center.C.Take a taxi.D.Wait for the bus.Section B PassagesDirections:In Part B,you will hear two short passages,and you will be asked three questions on each of the passages.The passages will be read twice,but the questions will be spoken only once. When you hear a question,read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage.11.A.It gets its water from the ocean.B.It is a little saltier than the ocean.C.It is far from the ocean.D.It is larger than any state.12.A.The lake is too deep.B.The speaker was too heavy.C.The water held up the speaker.D.The speaker’s eyes hurt.13.A.Interesting. B.Painful.C.Useful.D.Surprising.Questions 14 through 16 are based on the following passage.14.A.Her mother doesn’t love her as much as her grandfather did.B.Her mother was the subject of talks with her grandfather.C.Her mother will misunderstand her problems.D.She missed her grandfather.15.A.Co-workers cannot be your close friends.B.People will be pleased if you call them at 2:00 a.m.C.You can’t discuss your problems with a distant family member.D.The one you can call at 2:00 is someone close to you 1n spirit.16.A.Parents should understand their kids.B.The earth is an inhabited garden if you have close friends.C.There are many ways to make friends.D.There is a difference between a lonely desert and an inhabited garden.Section C Longer ConversationsDirections:In Part C,you will hear two longer conversations.The conversations will be read twice.After you hear each conversation,you are required to fill in the numbered blanks with the information you have heard.Write your answers on your answer sheet.Blanks 17 through re based on the following conversation.Complete the form. Write ONE WORD for each answer.Blanks 21 through 24 are based on the following conversation.Complete the form. Write NO MORE THAN THREE WORDS for each answer.II. Grammar and Vocabulary (25%)Section ADirections: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.25.It was reported that the employment fair held in Shanghai was crowded so many university graduates.A.of B.on C.out D.with26.In their hearts.some children think it is their parents’ business to earn money and to spend it.A.they B.them C.their D.theirs27.to the Party and the people, Ren Changxia was respected and loved by almost all the people who knew her.A.Devoting B.Devoted C.To be devoted D.To devote28.Little about his own safety, though the teacher was in great danger himself.A.does he care B.did he care C.he cares D.he cared29.Walking alone in the deserted village,John was scared.He thought he Tom to go with him.A.might have asked B.must have askedC.should be asked D.should have asked30.her salary with that of her male partner’s, she found the unjust treatment toward female employees in the company.A.Compared B.Having comparedC.To compare D.Having been compared31.---Did Mary enjoy seeing her old friends yesterday?---Yes,she did. She her old friends for a long time.A.didn’t see B.wouldn’t see C.hasn’t seen D.hadn’t seen32.Their decision Internet addiction as a mental disorder has caused much debate.A.to classify B.classifying C.being classified D.to be classified33.we can’t rewrite the past, we can change how we deal with our inner fears and insecurities related to past experience.A.Unless B.While C.When D.Until34.Qatar is a tiny country hosting is called the most impressive Asian Games ever.A.that B.as C.which D.what35.enough sleep before taking a test will improve your mental alertness so you can think clearly.A.Getting B.That get C.Get D.Got36.In the US,usually the kids are encouraged to take part in community service the voluntary spirit can take root in their minds from childhood.A.only if B.now that C.so that D.when37.is mentioned in his speech,gone are the days when we believed Shakespeare’s “Frailty,thy name is woman!”A.What B.It C.As D.Which38.I don’t remember how many years ago people began to grow crops.A.it was when B.it was that C.was it that D.was it when39.Simon is crazy about playing video games; now he must be on his computer, ?A.mustn’t he B.isn’t he C.needn’t he D.doesn’t he40.do you think caused the global financial turmoil?A.What … that B.Which… that C.What …/ D.Which… /Section BDirections: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.Since we are social beings, the quality of our lives depends in large measure on our interpersonal relationships. Our 41 of the human condition is our tendency to give and receive support from one another under stressful conditions. Social support consists of the 42 of resources among people based on their interpersonal ties. Those of us with 43 support systems appear better able to cope with major life changes and daily problems. People with strong social ties live 44 and have better health than those without such ties. Studies over a range of illnesses, from 45 to heart disease, reveal that the presence of social support helps people fight off illness, and the absence of such support makes poor health more likely.Social support cushions stress in a number of ways. First, friends, relatives, and co-workers may let us know that they 46 us. Our self-respect is 47 when we feel 48 by others despite our faults and difficulties. Second, other people often provide us with informational support. They help us to define and understand our problems and find solutions to them. Third, we typically find social companionship 49 . Engaging in leisure-time activities with others helps us to meet our social needs while at the same time distracting us from our worries and troubles. Finally, other people may give us instrumental support – financial aid, material resources, and needed services – that reduces stress by helping us resolve and cope with our problems.III. Reading Comprehension (50%)Section ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each bank with the word or phrase that best fits the context.Specialists say it is not easy to get used to life in a new culture. “Culture shock” is the term these specialists 50 when talking about the feelings that people have in a new environment. There are three stages of culture shock, say the specialists. In the first stage, the 51 like their new environment. Then, when the fresh feeling 52 , they begin to dislike the city,the country, the people there, and 53 else. In the last stage, the newcomers begin to get used to their surroundings and,as a result, 54 their life.There are some obvious factors in culture shock. The weather may be unpleasant. The customs may be different. The public 55 system—the telephone, post office, or transportation—may be hard to work out. The simplest things seem to be big 56 . The language may be difficult.Who feels culture shock? Everyone does in this way or that. But culture shock still 57 most people. Very often the people having the worst culture shock are those who 58 had any difficulties in their home countries and were successful in their community. Coming to a new country, those people find they do not have 59 established positions. They find themselves without a role, almost without an identity. They have to build a new self-image. 60 makes them have a feeling of disorientation(无方向). This feeling may be home-sickness. When homesick, people like staying 61 all the time. They want to protect themselves from the _ 62 _ environment, and create an escape anywhere for a sense of safety. This escape does solve the problem of culture shock for a _ 63 __term,but it does nothing to make the person familiar with the culture. Getting to know the new environment and _ 64 experience are the long-term solutions to the problem of culture shock.50.A.discover B.spend C.know D. employ51.A.specialists B.newcomers C.travellers D. people52.A.comes B.dies C.appears D. misses53.A.everything B.something C.anywhere D. somewhere54.A.satisfy B.realize C.enjoy D. find55.A.service B.society C.communication D. relation56.A.things B.ones C.problems D. misfortunes57.A.tires B.surprises C.ruins D. meets58.A.seldom B.ever C.once D. likely59.A.proper B.the same C.former D. the newly60. A. Transportation B. Special identity C. Culture shock D. Social position61.A.outside B.inside C.alone D.sleeping62.A.far-away B.noisy C.known D. strange63.A.special B.short C.1ong D. possible64.A.gaining B.offering C.making D. providingSection BDirections: Read the following four passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.AHave you ever seen a traffic policeman with bright white sleeves, directing traffic at the busy road junction? That is my job.You would not guess how hard my job is unless you tried to do it yourself. I have to keep my eyes wide open every minute of the day, or else I will get myself and others into trouble. My negligence might even cause serious disaster.As soon as I take up duty on the traffic stand, I begin to wave my hands to direct the traffic. A traffic policeman should keep the movements of his arms down to a minimum and rely mainly on his hands in order to preserve his energy. I sometimes feel that y arms no longer belong to my body. Although it appears easy enough to stop on – coming cars from one direction and wave forward those from another direction, a traffic policeman must be most careful not to give any wrong signs lest an accident should occur.Nobody longs for fine weather as much as I do when I am on duty. Day or night, I pray that it will not rain. It is difficult to find anyone who is more exposed to the elements than I am in my traffic stand. The rain can drench me and the wind can chill me to the bone. On the other hand, during summer the hot sun can burn me!The most trying hours are the peak periods when people go to and come back from their work. At such times, both pedestrians and vehicles always seem to try to beat each other to the crossing. The motorists usually keep a sharp look – out for my signals, but many pedestrians walk across the road as if they are in a dream. They ignore my signals, risking their lives. Many pedestrians and motorists must have blamed me for stopping and holding them up. However, they should understand that the small inconvenience is for their own good.I like my job, for I believe that it does contribute, in a big way, to the maintenance of law and order.65.A traffic policeman .A.always wears white sleeves.B.gives directions to riders and pedestrians.C.is found only at busy road junctions.D.is a director for people.66.a traffic policeman should never for a moment neglect his duty, for .A.people depend on him for a living.B.the police station makes a very high demand on him.C.he is responsible for people’s safety.D.he should prevent disaster.67.In paragraph 4, “the elements” refers to in the passage.A.the bad weather B.the cold windC.the hot sun D.the heavy rain68.During rush hours, the traffic policeman’s signs .A.are useless at the crossing.B.don’t have any effect on motorists.C.can’t stop people from beating each other.D.are hardly observed by pedestrians.BKing’s College Summer SchoolKin g’s College summer School is an annual training program for high school students at all levels who wants to improve their English. Courses are given by the teachers of King’s College and other colleges in New York. Trips to museums and culture centers are also organized.This year's summer school will be from July 25 to August 15.More information is as follows:69.Which of the following is true about King' s College Summer School?A.Only top students can take part in the program.B.King' s College Summer School is run every other year.C.Visits to museums and culture centers are part of the program.D.Only the teachers of King' s College give courses.70.If you are to live with your relatives in New York, you will have to pay the school .A.$B.$400 C.$500 D.$90071.What information can you get from the text?A.The program will last two months.B.You can write to Thompson only in English.C.As a Chinese student, you can send your application on July 14, .D.You can get in touch with the school by e-mail or by telephone.C“Opinion” is a word that is used carelessly today. It is used to refer to matters of taste, belief, and judgment. This casual would probably cause little confusion if people didn’t attach too much importance to opinion. Unfortunately, most to attach great importance to it. "I have as much right to my opinion as you to yours, '' and ''Everyone's entitled to his opinion, '' are common expressions. In fact, anyone who would challenge another's opinion is likely to be branded intolerant.Is that label accurate? Is it intolerant to challenge another's opinion? It depends on what definition of opinion you have in mind. For example, you may ask a friend ''What do you think of the new Ford cars?" And he mayreply, "In my opinion, they're ugly." In this case, it would not only be intolerant to challenge his statement, but foolish. For it's obvious that by opinion he means his personal preference, a matter of taste. And as the old saying goes, ''It's pointless to argue about matters of taste."But consider this very different use of the term, A newspaper reports that the Supreme Court has delivered its opinion in a controversial case. Obviously the justices did not shale their personal preferences, their mere likes and dislikes, They stated their considered judgment, painstakingly arrived at after thorough inquiry and deliberation.Most of what is referred to as opinion falls somewhere between these two extremes. It is not an expression of taste. Nor is it careful judgment. Yet it may contain elements of both. It is a view or belief more or less casually arrived at, with or without examining the evidence.Is everyone entitled to his opinion? Of course, this is not only permitted, but guaranteed. We are free to act on our opinions only so long as, in doing so, we do not harm others.72.What does the word “label” refer to?A.The lack of deliberation will probably be unable to put up with another’s opinion.B.Careless thought will direct people into trouble.C.To be frank is the best way to be one’s best friend.D.Great importance is attached to one’s opinions in one way or another.73.The new Ford cars are cited as an example to show that ________.A.personal tastes are not something to be challenged.B.A famous brand is not something to be challenged.C.Free expressions of opinions will lead to confusion.D.To confront a personal opinion in public is tolerant.74.Considered judgment is different from personal preference in that ________.A.Considered judgment is always delivered in the court.B.Considered judgment states on e’s likes and dislikes.C.Considered judgment results from careful thought.D.Considered judgment covers one’s personal preferences.75.As indicated in the passage, being free to act on one's opinion ________.A.means that one can ignore other people's criticism.B.means that one can impose his pre6ereaccs on others.C.doesn't mean that one has the right to charge others without evidence.D.doesn't mean that one has the right to do things at will.DSex prejudices are based on and justified by the ideology that biology is destiny. According to this ideology, basic biological and psychological differences exist between the sexes. These differences require each sex to play a separate role in social life. Women are the weaker sexboth physically and emotionally. Thus, they are naturally suited much more so than men, to the performance of domestic duties. A woman's place, under normal circumstances, is within the protective environment of the home. Nature has determined that women play caretaker roles, such as wife and mother and homemaker. On the other hand, men are best suited to go out into the competitive world of work and politics, where serious responsibilities must be taken on. Men are to be the providers; women and children are "dependents".The ideology also holds that women who wish to work outside the household should naturally fill these jobs that are in line with the special capabilities of their sex. It is thus appropriate for women, not men, to be employed as nurses, social workers, elementary school teachers, household helpers, and clerks and secretaries. These positions are simply an extension of women's domestic role. Informal distinctions between "women's work" and "men's work" in the labor force, according to the ideology, are simply a functional reflection of the basic differences between the sexes.Finally, the ideology suggests that nature has worked her will in another significant way. For the human species to survive over time, its members must regularly reproduce .Thus , women must, whether at home or in the labor force, make the most of their physical appearance. So goes the ideology. It is, of course, not true that basic biological and psychological differences between the sexes require each to play sex defined roles in social life. There is ample evidence that sex roles vary from society to society, and those role differences that to exist are largely learned.But to the degree people actually believe that biology is destiny and that nature intended for men and women to make different contributions to society, sex defined roles will be seen as totally acceptable.76.Women's place, some people think, is within the protective environment of the home because_______ .A.women can provide better care for the childrenB.women are too weak to do any agricultural work at allC.women are biologically suited to domestic jobsD.women can not compete with men in any field77.According to the author, sex roles _______.A.are socially determinedB .are emotionally and physically determinedC .can only be determined by what education people takeD .are biologically and psychologically determined78.The author points out that the assignments of women's roles in work_______. A .are determined by what they are better suited toB .grow out of their position inside the homeC .reflect a basic difference between men and womenD .are suitable to them, but not to men79.Which of the following is NOT true according to the passage? A .The division of sex defined roles is completely unacceptable .B .Women's roles in Work are too limited at present.C .In one society, men might per form what is considered women's duties by another.D .Some of the women's roles in domestic duties can not be taken over by menSection CDirections: Read the following text and choose the most suitable heading from A – F for each paragraph. There is one extra heading which you do not need.E80.Asakawa, 45, has spent the past eight years making the Internet a friendly place for people who can ’t see. In 1997 her research group at IBM Japan put out one of the world ’s first browsers specifically made to read aloud the contents of Web pages. And last July, her team released software that helps Web designers figure out how to make their home pages accessible to people with poor or no eyesight. 81.______Accessibility is a serious issue. The Internet is becoming an increasingly important source of information and services. For people who are blind, the Internet lets them do things on their own for which they previously needed a lot of help, like going shopping.82._______At age 11, Asakawa accidentally hit her head into the side of a pool while swimming, damaging her optic (视觉的)nerves. Three years later, she was completely blind. At a vocational school for the blind, Asakawa learned to program in various computer languages. To read code printouts she used a device that translated the code into raised letters sensed with the fingers. It was a struggle, she recalls, “ But it was possible.”83.________In the mid-1990s, she began surfing the Internet, using a combination of software that read out what was on the screen. But there were problems: The system only read English. On-screen fill-out forms stumped the reader, and tables with vertical columns came out as gibberish(无意义的声音). Asakawa decided to develop software specifically designed to handle the coding used for Web pages. She inserted aural cues to help browsing, like using a man’s voice for text and a woman’s for links. In 1997 she put ou t IBM’s first Home Page Reader in Japanese, then in English followed by nine other languages.84.______Asakawa is now doing basic research on using the sense of touch to direct the attention of the blind, as colors do for the sighted. She hopes this kind of research will also be usefu l for people with normal vision. “ Sighted people don’t use the sens e of touch very much,”she laughs. “What a waste!"第Ⅱ卷(共45分)I. Translation (Directions: Translate the following sentences into English, using the words given in the brackets.1.他对什么事都感到好奇。

2015-2016年上海市南汇中学高三上第一次月考

2015-2016年上海市南汇中学高三上第一次月考

1
2
1
2
2x1 1 2x1 1
因为0 x x 1 ,所以2x1 2x2 0 , (2x1 1)(2x2 1) 9 , 12
1
2
又a 9 ,所以 g(x1 ) g(x2 ) 0 .
微信公众号:一站升学
因此,当a 9 时,函数 g x f (x) 2x 在0,1上是减函数。14
且 g(x)
1 1
x x
在(t,
a)
的值域是(a,
)

故 g(a) 1 a a 且 t 1(结合 g(x) 图像易得 t 1)....................2 分
1 a
a2 a 1 a 解得 a 2 1( 2 1 舍去).
所以 a 2 1, t 1
…………………………………2 分
x 2 2
1.
1 x1x2
1 x1x2
x x 2
(x x )2 (1 x x )2 x 2 x 2 1 x 2x 2 (1 x 2)(1 x 2)
证明: 1 2 1 1 x1 x2
1
2
12
(1 x1x2) 2
1
2
1 2 1 2
(1 x1x2) 2
(1 x1x2 ) 2
x ,x (1,1) ,∴1 x 2 0,1 x 2 0 , (1 x x )2 0
解:⑴ B (2, 7] ………4 分 ⑵ A [a 1, a 2] ……… 7 分
A B B A B ……… 8 分
a 2 ≤ 7
∴ a 1 2
a (3,5]
……… 12 分
微信公众号:一站升学
20.(本题满分 14 分)“活水围网”养鱼技术具有养殖密度高、经济效益好的特点.研究表明:“活水围网”

2015届高三年级10月份月考成卷

2015届高三年级10月份月考成卷

2015届高三年级10月份诊断性物理试题考试时间:10月24日晚19:20---21:00共100分钟满分110分一、不定项选择题(分48412=⨯,少选得2分) 1.以下情景中,人或物体可看成质点的是( )A .用GPS 确定打击海盗的“武汉”舰在大海中的位置B .计算传送带上输送的工件数量C .研究航天员翟志刚在太空出舱挥动国旗的动作D .研究一列火车通过长江大桥所需的时间2.如图1所示,一小滑块(可视为质点)沿足够长的斜面以初速度v 向上做匀变速直线运动,依次经A 、B 、C 、D 到达最高点E ,已知AB =BD =6 m ,BC =1 m ,滑块从A 到C 和从C 到D 所用的时间都是2 s 。

设滑块经B 、C 时的速度分别为v B 、v C ,则( )图1A .v C =6 m/s B . v B =8 m/sC .从D 到E 所用时间为4 s D .DE =3 m3.如图1-3-10所示,A 、B 两物体在同一点开始运动,从A 、B 两物体的位移-时间图线可知下列说法中正确的是( )图1-3-10A .A 、B 两物体同时自同一位置沿同一方向运动 B .A 、B 两物体速度大小均为10 m/sC . A 、B 两物体自同一位置沿同一方向运动,B 比A 晚出发2 sD .A 、B 两物体在A 出发后4 s 时距原点20 m 处相遇4.如图2-1-8所示,质量分别为m 和M 的两物体P 和Q 叠放在倾角为θ的斜面上,P 、Q 间的动摩擦因数为μ1,Q 与斜面间的动摩擦因数为μ2。

当它们从静止开始沿斜面滑下时,两物体始终保持相对静止,则物体P 受到的摩擦力大小为( )图2-1-8A .μ1mg cos θ,方向平行于斜面向上B .μ2mg cos θ,方向平行于斜面向上C .μ1mg cos θ,方向平行于斜面向下 D. μ2mg cos θ,方向平行于斜面向下5.如图5所示,一小球在斜面上处于静止状态,不考虑一切摩擦,如果把竖直挡板由竖直位置缓慢绕O 点转至水平位置,则此过程中小球对挡板的压力F 1和小球对斜面的压力F 2的变化情况是( )A .F 1先减小后增大,F 2一直减小B . F 1先增大后减小,F 2一直减小C .F 1和F 2都一直减小图5D .F 1和F 2都一直增大6.如图3-1-1甲、乙所示,两车都在光滑的水平面上,小车的质量都是M ,人的质量都是m ,甲图人推车、乙图人拉绳(绳与轮的质量和摩擦均不计)的力都是F ,对于甲、乙两图中车的加速度大小说法正确的是()A .甲图中车的加速度大小为FM B .乙图中车的加速度大小为2FM +mC .甲图中车的加速度大小为FM +m 甲 乙D .乙图中车的加速度大小为FM 图3-1-17.如图3-1-13所示,竖直放置在水平面上的轻质弹簧上叠放着两物块A 、B ,A 、B 的质量均为2 kg ,它们处于静止状态,若突然将一个大小为10 N ,方向竖直向下的力施加在物块A 上,则此瞬间,A 对B 的压力大小为(g =10 m/s 2)( )图3-1-13A .10 NB .25 NC .20 ND .40 N8.如图4甲所示,绷紧的水平传送带始终以恒定速率v 1顺时针运行。

2024-2025学年上海市浦东新区南汇中学高一(上)月考数学试卷(10月份)(含答案)

2024-2025学年上海市浦东新区南汇中学高一(上)月考数学试卷(10月份)(含答案)

2024-2025学年上海市浦东新区南汇中学高一(上)月考数学试卷(10月份)一、单选题:本题共4小题,每小题3分,共12分。

在每小题给出的选项中,只有一项是符合题目要求的。

1.若a,b∈R,则“a>b>0”是“a2>b2”的( )A. 充分不必要条件B. 必要不充分条件C. 充分必要条件D. 既不充分也不必要条件2.下列结论中正确的是( )A. 所有的集合都可以用列举法表示B. 集合{⌀}表示空集C. 集合A={(x,y)|y=x2+1},B={y|y=x2+1},则A=BD. 已知(x−y)2>0,P={x,y},Q={y,x},则P=Q3.x<y<0,则下列不等式不成立的是( )A. 1−x2<1−y2B. x2n+1<y2n+1(n∈N)C. 1x <1yD.yx+y>04.设集合P1={x|x2+ax+1>0},P2={x|x2+ax+2>0},Q1={x|x2+x+b>0},Q2={x|x2 +2x+b>0},其中a,b∈R,下列说法正确的个数是( )①对任意a,P1是P2的子集,对任意b,Q1不是Q2的子集;②对任意a,P1是P2的子集,存在b,使得Q1是Q2的子集;③存在a,P1不是P2的子集,对任意b,Q1不是Q2的子集;④存在a,P1不是P2的子集,存在b,使得Q1是Q2的子集.A. 0个B. 1个C. 2个D. 3个二、填空题:本题共12小题,每小题3分,共36分。

5.已知集合A={1,2,4,6,8},B={x|x>3},则A∩B=______.6.陈述句“x<1或y>1”的否定形式是______.7.已知集合A={1,3,4m−3},B={3,m2},若B⊆A,则实数m=______.8.若“x=2”是“x<a”的充分条件,则实数a的取值范围为______.9.已知一元二次方程x2+mx+8=0的两个实数根分别为x1,x2,且x1+x2=6,则实数m的值为______.10.若m <1,则关于x 的不等式mx−2<x +m 的解集为______.11.已知A ={x|15x +2∈N,x ∈N},则集合A 的非空真子集的个数为______.12.已知2x 2+x +1=a(x +1)2+b(x +1)+c 对任意x ∈R 恒成立,则abc = ______.13.已知集合{x|(m−1)x 2−(m−1)x−1<0}=R ,则实数m 的取值范围是______.14.若不等式ax 2+bx +1>0的解集是(−12,1),则bx 2+ax +1≤0的解集为______.15.设集合S ={a 1,a 2,a 3,a 4,a 5},S 的所有非空子集的元素之和为128,则a 1+a 2+a 3+a 4+a 5= ______.16.设集合I ={1,3,5,7},若非空集合A 同时满足:①A ⊆I ,②|A|≤min(A),(其中|A|表示A 中元素的个数,min(A)表示集合A 中最小的元素)称集合A 为I 的一个好子集,则I 的所有好子集的个数为______.三、解答题:本题共5小题,共52分。

上海市南汇中学高三(上)10月月考数学试卷

上海市南汇中学高三(上)10月月考数学试卷

一、填空题(共14小题,每小题4分,满分56分)1.函数的定义域为.2.方程9x+6.3x﹣27=0的解是.3.若,,则tanα=.4.已知函数f(x)=ax2+(b﹣3)x+3,x∈[a2﹣2,a]是偶函数,则a+b=.5.函数f(x)=x2+5,x∈(﹣∞,﹣1]的反函数为f﹣1(x)=.6.已知命题:“如果a>0,b>0,那么ab>0”,则它的逆否命题是.7.函数f(x)是[﹣5,5]上的奇函数,且f(x)在[0,5]上的图象如图所示,则不等式xf (x)>0的解集是.8.函数的值域为.9.不等式对一切非零实数x恒成立,则实数m的取值范围是.10.命题甲:关于x的不等式(a﹣2)x2+(a﹣2)x+1>0的解集为R,命题乙:实数a满足2<a<6,则命题甲是命题乙成立的条件.11.在4×□+9×□=60的两个□中,分别填入两自然数,使它们的倒数和最小,应分别填上和.12.若关于x的方程4x2+5x+k=0的两根为sinθ,cosθ,请写出一个以tanθ,cotθ为两根的一元二次方程:.13.函数y=f(x)是定义在R上的增函数,y=f(x)的图象过点(0,﹣1)和点时,能确定不等式|f(x+1)|<1的解集为x|﹣1<x<2.14.已知关于x的不等式组1≤kx2+2x+k≤2有唯一实数解,则实数k的取值集合.二、选择题(共4小题,每小题4分,满分16分)15.若空集是集合{x|x2≤a,a∈R}的真子集,则实数a的取值范围是()A.(0,+∞)B.[0,+∞)C.(﹣∞,0)D.(﹣∞,0]16.若α为第二象限角,则=()A.2sin2αB.﹣2cos2αC.0 D.217.已知a>0,且a≠0,函数y=a x,y=log a(﹣x)的图象只能是()A. B.C.D.18.已知定义域为R的函数f(x)=,若关于x的方程f2(x)+bf(x)+c=0有3个不同的实根x1,x2,x3,则x12+x22+x32等于()A.13 B.C.5 D.三、解答题(共5小题,满分78分)19.已知R为全集,,求20.已知(Ⅰ)求tanα的值;(Ⅱ)求的值.21.某种出口产品的关税税率t,市场价格x(单位:千元)与市场供应量p(单位:万件)之间近似满足关系式:p=,其中k,b均为常数.当关税税率为75%时,若市场价格为5千元,则市场供应量均为1万件;若市场价格为7千元,则市场供应量约为2万件.(1)试确定k、b的值;(2)市场需求量q(单位:万件)与市场价格x近似满足关系式:q=2﹣x.p=q时,市场价格称为市场平衡价格.当市场平衡价格不超过4千元时,试确定关税税率的最大值.22.(18分)函数f(x)=2x﹣的定义域为(0,1](a为实数).(Ⅰ)当a=﹣1时,求函数y=f(x)的值域;(Ⅱ)若函数y=f(x)在定义域上是减函数,求a的取值范围;(Ⅲ)求函数y=f(x)在x∈(0,1]上的最大值及最小值,并求出函数取最值时x的值.23.(18分)定义在R上的偶函数f(x)满足f(x+1)=﹣f(x),且当x∈[﹣1,1]时,f (x)=x2.(1)求证:2是函数f(x)的一个周期;(2)求f(x)在区间[2k﹣1,2k+1],k∈Z上的函数解析式;(3)是否存在整数k,使对任意x∈[2k﹣1,2k+1]恒成立?若存在,请求出k的取值范围;若不存在,请说明理由.2009-2010学年上海市南汇中学高三(上)10月月考数学试卷参考答案一、填空题(共14小题,每小题4分,满分56分)1.函数的定义域为(1,2)∪(2,+∞).【分析】函数的定义域为,由此能求出结果.解:函数的定义域为,解得x>1,且x≠2.∴函数的定义域为(1,2)∪(2,+∞).故答案为:(1,2)∪(2,+∞).【点评】本题考查对数函数的定义域,解题时要认真审题,注意不等式的灵活运用.2.方程9x+6.3x﹣27=0的解是1.【分析】先把原式整理为关于3x的二次方程,再结合二次方程的解法即可的出结论.解:∵9x+6.3x﹣27=0∴(3x)2+6•3x﹣27=0.∴(3x﹣3)(3x+9)=0∴3x=3;∴x=1.故答案为:1.【点评】本题主要考查二次方程与指数函数的综合问题.解决本题的关键在于把原式整理为关于3x的二次方程.3.若,,则tanα=.【分析】利用诱导公式对已知可得sinα的值,结合,利用同角三角函数间的基本关系可求得cosα的值,然后由求出的sinα和cosα的值,再利用同角三角函数的基本关系即可求出tanα的值.解:由诱导公式可得:,∴sinα=﹣,,∴,∴=﹣.故答案为:﹣【点评】本题主要考查了诱导公式、同角基本关系在求解三角函数中的应用,属于基础试题,解题的关键是灵活利用公式.4.已知函数f(x)=ax2+(b﹣3)x+3,x∈[a2﹣2,a]是偶函数,则a+b=4.【分析】利用偶函数的定义及图象关于y轴对称的特点,可以建立a2﹣2+a=0及,解得a,b,即可得到a+b解:∵函数f(x)=ax2+(b﹣3)x+3,x∈[a2﹣2,a]是偶函数∴a2﹣2+a=0∴a=﹣2或1∵a2﹣2<a∴a=1∵偶函数的图象关于y轴对称,∴=0∴b=3∴a+b=4故答案为:4.【点评】本题主要考查偶函数的定义和性质,结合二次函数的图象的对称轴,建立关于a,b的方程.注意奇偶函数的定义域关于原点对称的特点.是个基础题.5.函数f(x)=x2+5,x∈(﹣∞,﹣1]的反函数为f﹣1(x)=.【分析】从条件中函数式y═x2+5,x∈(﹣∞,﹣1]中反解出x,再将x,y互换,最后利用原函数的值域写出反函数的定义域即得反函数f﹣1(x).解:∵y=x2+5,x∈(﹣∞,﹣1],∴x=,∴函数f(x)=x2+5,x∈(﹣∞,﹣1]的反函数为.故答案为:.【点评】本题考查求一个函数的反函数的方法.求反函数,一般应分以下步骤:(1)由已知解析式y=f(x)反求出x=Ф(y);(2)交换x=Ф(y)中x、y的位置;(3)求出反函数的定义域(一般可通过求原函数的值域的方法求反函数的定义域).6.已知命题:“如果a>0,b>0,那么ab>0”,则它的逆否命题是如果ab≤0,那么a ≤0或b≤0.【分析】根据逆否命题的定义,即把结论和条件的否定后作为逆否命题的条件和结论即可.解:原命题“若a>0,b>0,则ab>0”,∴其逆否命题为:“若ab≤0,则a≤0或b≤0”.故答案为:若ab≤0,则a≤0或b≤0.【点评】本题考查的知识点是逆否命题的定义,需要正确写出对条件的结论的否定,这是关键和易出错的地方.7.函数f(x)是[﹣5,5]上的奇函数,且f(x)在[0,5]上的图象如图所示,则不等式xf (x)>0的解集是[﹣5,﹣2)∪(2,5] .【分析】先根据奇函数图象关于原点对称得到其在【﹣5,0】上的图象,在把所求不等式转化结合图象即可得到结论.解:因为函数f(x)是[﹣5,5]上的奇函数所以其大致图象如图:因为xf(x)>0⇒或∴由图得:2<x≤5或﹣5≤x<﹣2.故答案为:[﹣5,﹣2)∪(2,5]【点评】本题主要考查函数奇偶性的性质以及函数图象的应用.奇函数的图象关于原点对称,偶函数的图象关于Y轴对称.8.函数的值域为(0,2] .【分析】求出指数的取值范围,利用指数函数的单调性,即可求出函数的值域.解:因为x2﹣2x≥﹣1,函数是减函数,所以∈(0,2].故答案为:(0,2].【点评】本题是基础题,考查函数的单调性的应用,注意指数函数的性质,考查计算能力.9.不等式对一切非零实数x恒成立,则实数m的取值范围是.【分析】不等式对一切非零实数x恒成立可转化成m≤,然后利用基本不等式求值最小值即可求出m的取值范围.解:∵不等式对一切非零实数x恒成立∴m≤∵∴m≤故答案为:【点评】本题主要考查了函数恒成立问题,以及利用基本不等式求最值,属于中档题.10.命题甲:关于x的不等式(a﹣2)x2+(a﹣2)x+1>0的解集为R,命题乙:实数a满足2<a<6,则命题甲是命题乙成立的必要非充分条件.【分析】根据题意,对于命题甲:首先对a﹣2进行讨论,a﹣2=0时,恒成立;a﹣2≠0时,在解答的过程当中,要先将所给的条件由二次不等式问题转化为二次函数问题,从而获得相应参数a的范围,再进行判断.解:命题甲:关于x的不等式(a﹣2)x2+(a﹣2)x+1>0的解集为R为真时当a﹣2=0,即a=2时,不等式(a﹣2)x2+(a﹣2)x+1>0的解集为R当a﹣2≠0是,设一元二次函数y=(a﹣2)x2+(a﹣2)x+1>0的图象开口向上,且x轴无交点.所以对于一元二次方程(a﹣2)x2+(a﹣2)x+1>0必有△=(a﹣2)2﹣4(a﹣2)<0解得:2<a<6∴关于x的不等式(a﹣2)x2+(a﹣2)x+1>0的解集为R的充要条件是2≤a<6.∵命题乙:实数a满足2<a<6∴命题甲是命题乙成立的必要非充分条件.故答案为:必要非充分.【点评】本题的考点是必要条件、充分条件与充要条件的判断,主要考查充要条件的问题.解答的关键是要注意与一元二次不等式、一元二次函数以及一元二次方程的知识相联系,注意分类讨论.11.在4×□+9×□=60的两个□中,分别填入两自然数,使它们的倒数和最小,应分别填上6和4.【分析】本题运用均值不等式来解决:设两数为x、y,即4x+9y=60,然后利用基本不等式求出x与y的倒数和的最小值,即可得到此时x与y满足的关系式,与4x+9y=60联立即可求出此时x与y的值.解:设两数为x、y,即4x+9y=60,又=≥,当且仅当,且4x+9y=60,即x=6且y=4时成立,故答案为:6;4.【点评】此题考查学生灵活运用基本不等式求函数的最小值及掌握取最小值时的条件,是一道中档题.学生做题时一定注意4x+9y=60这个条件的利用与灵活变形.12.若关于x的方程4x2+5x+k=0的两根为sinθ,cosθ,请写出一个以tanθ,cotθ为两根的一元二次方程:9x2﹣32x+9=0(不唯一).【分析】先利用根与系数的关系得sinθ+cosθ=﹣,两边平方得sinθcosθ=,然后求出tanθ满足的等量关系,即可求出一个以tanθ,cotθ为两根的一元二次方程.解:∵关于x的方程4x2+5x+k=0的两根为sinθ,cosθ,∴sinθ+cosθ=﹣两边平方得sinθcosθ=∴即9tan2θ﹣32tanθ+9=0∴tanθ是一元二次方程9x2﹣32x+9=0的根,cotθ也是一元二次方程9x2﹣32x+9=0的根故答案为:9x2﹣32x+9=0(不唯一)【点评】本题主要考查了一元二次方程的根的分布与系数的关系,以及三角形函数的求解,属于中档题.13.函数y=f(x)是定义在R上的增函数,y=f(x)的图象过点(0,﹣1)和点(3,1)时,能确定不等式|f(x+1)|<1的解集为x|﹣1<x<2.【分析】首先分析题目已知y=f(x)是定义在R上的增函数,且满足|f(x+1)|<1的解集为{x|﹣1<x<2}.求图象过的点.考虑|f(x+1)|<1,即为﹣1<f(x+1)<1,由区间值域和定义域,又根据函数的单调性可以直接判断出所过的端点处的值.即可得到答案.解:由题意不等式|f(x+1)|<1的解集为x|﹣1<x<2.即﹣1<f(x+1)<1的解集为{x|﹣1<x<2}.又已知函数y=f(x)是定义在R上的增函数.故设t=x+1,根据单调性可以分析得到值域为(﹣1,1)所对应的定义域为(0,3)故可以分析到y=f(x)的图象过点(0,﹣1)和点(3,1).故答案为(3,1).【点评】此题主要考查绝对值不等式的解法,其中涉及到函数单调性的问题,属于不等式和函数的简单综合问题,计算量小,属于基础题型.14.已知关于x的不等式组1≤kx2+2x+k≤2有唯一实数解,则实数k的取值集合{,1+} .【分析】本题考查的知识点是类二次不等式的解法,根据不等式ax2+bx+c≤M(a<0)有唯一实数解⇔最大值=M;不等式ax2+bx+c≤M(a>0)有唯一实数解⇔最小值=M可以判断实数k的取值,故本题关键是要对参数K进行分类讨论,以确定不等式的类型,在各种情况中分别解答后,综合结论即得最终结果.解:若K=0,不等式组1≤kx2+2x+k≤2可化为:1≤2x≤2,不满足条件若K>0,则若不等式组1≤kx2+2x+k≤2,=2时,满足条件解得:k=1+若K<0,则若不等式组1≤kx2+2x+k≤2,=1时,满足条件解得:k=故答案为:{,1+}【点评】不等式ax2+bx+c≥M(a<0)有唯一实数解⇔最大值=M;不等式ax2+bx+c≤M(a>0)有唯一实数解⇔最小值=M;二、选择题(共4小题,每小题4分,满分16分)15.若空集是集合{x|x2≤a,a∈R}的真子集,则实数a的取值范围是()A.(0,+∞)B.[0,+∞)C.(﹣∞,0)D.(﹣∞,0]【分析】由题意得,不等式x2≤a的解集不是空集,只需相应方程有两个不同的根即可.解:∵空集是集合{x|x2≤a,a∈R}的真子集,∴x2≤a的解集不是空集,∴x2=a有实数根,则需a≥0,故选:B.【点评】本题是考查集合关系中的参数取值问题、二次函数,二次不等式,二次方程间的相互转化和相互应用,需熟练掌握.16.若α为第二象限角,则=()A.2sin2αB.﹣2cos2αC.0 D.2【分析】利用同角三角函数间的基本关系,根据α为第二象限角,确定正负号,从而得解.解:由题意,=cotα(﹣tanα)+cosα(﹣cosα)+sinαsinα=﹣2cos2α,故选:B.【点评】本题的考点是同角三角函数间的基本关系,主要考查利用同角三角函数间的基本关系,应注意正负号的确定.17.已知a>0,且a≠0,函数y=a x,y=log a(﹣x)的图象只能是()A. B.C.D.【分析】根据a的取值分两种情况考虑:当0<a<1时,根据指数函数的图象与性质得到y=a x为减函数,即图象下降,且恒过(0,1),而对数函数为增函数,即图象上升,且恒过(﹣1,0),但是四个选项中的图象没有符合这些条件;当a>1时,同理判断发现只有选项B的图象满足题意,进而得到正确的选项为B.解:若0<a<1,曲线y=a x函数图象下降,即为减函数,且函数图象过(0,1),而曲线y=log a﹣x函数图象上升,即为增函数,且函数图象过(﹣1,0),以上图象均不符号这些条件;若a>1,则曲线y=a x上升,即为增函数,且函数图象过(0,1),而函数y=log a﹣x下降,即为减函数,且函数图象过(﹣1,0),只有选项B满足条件.故选:B.【点评】此题考查了指数函数及对数函数的图象与性质.这类题的做法一般是根据底数a 的取值分情况,根据函数图象与性质分别讨论,采用数形结合的数学思想,得到正确的选项.学生做题时注意对数函数y=log a﹣x的图象与对数函数y=log a x的图象关于y轴对称.18.已知定义域为R的函数f(x)=,若关于x的方程f2(x)+bf(x)+c=0有3个不同的实根x1,x2,x3,则x12+x22+x32等于()A.13 B.C.5 D.【分析】作出f(x)的图象,由图知,只有当f(x)=1时有两解,欲使关于x的方程f2(x)+bf(x)﹣1=0有3个不同的实数解x1,x2,x3,则必有f(x)=1这个等式,故可得三个根的平方和,问题得到解决.解:作出f(x)的图象由图知,只有当f(x)=1时有两解;∵关于x的方程f2(x)+bf(x)+c=0有3个不同的实数解x1,x2,x3,∴必有f(x)=1,从而x1=1,x2=2,x3=0.故可得x12+x22+x32=5.故选C.【点评】本题考查复合函数的零点问题,复合函数的零点的问题,必须要将f(x)看成整体,利用整体思想解决.数形结合也是解决此题的关键,利用函数的图象可以加强直观性,同时也便于问题的理解.三、解答题(共5小题,满分78分)19.已知R为全集,,求【分析】根据对数的定义求出集合A,然后再根据分式的运算法则求出集合B,最后根据交集的定义求出.解:由已知因为为减函数,所3﹣x≤4由解得﹣1≤x<3∴A={x|﹣1≤x<3}由,解得﹣2<x≤3,∴B={x|﹣2<x≤3}于是故.【点评】此题主要考查对数的定义及集合的交集及补集运算,分式不等式的解法及集合间的交、并、补运算是高考中的常考内容,要认真掌握,并确保得分.20.已知(Ⅰ)求tanα的值;(Ⅱ)求的值.【分析】(Ⅰ)利用同角三角函数的基本关系,把等式转化成关于tanα的一元二次方程,求得tanα的值,最后利用α的范围求得答案.(Ⅱ)利用二倍角公式对原式进行化简整理,然后分子分母同时除以cosα的值,最后把(1)中tanα的值代入即可求得答案.解:(Ⅰ)由得3tan2α+10tanα+3=0,即tanα=﹣3或tanα=﹣,又,所以为所求.(Ⅱ)====.【点评】本题主要考查了二倍角公式的化简求值和同角三角函数的基本关系的运用.要能熟练记忆同角三角函数关系中的倒数关系,商数关系和平方关系等.21.某种出口产品的关税税率t,市场价格x(单位:千元)与市场供应量p(单位:万件)之间近似满足关系式:p=,其中k,b均为常数.当关税税率为75%时,若市场价格为5千元,则市场供应量均为1万件;若市场价格为7千元,则市场供应量约为2万件.(1)试确定k、b的值;(2)市场需求量q(单位:万件)与市场价格x近似满足关系式:q=2﹣x.p=q时,市场价格称为市场平衡价格.当市场平衡价格不超过4千元时,试确定关税税率的最大值.【分析】(1)根据“关系式:p=2(1﹣kt)(x﹣b)2,及市场价格为5千元,则市场供应量均为1万件;市场价格为7千元,则市场供应量约为2万件”,可得到从而求得结果.(2)当p=q时,可得2(1﹣t)(x﹣5)2=2﹣x,可求得t=1+=1+,由双勾函数f (x)=x+在(0,4]上单调递减,可知当x=4时,f(x)有最小值.解:(1)由已知可得:,∴,解得:b=5,k=1(2)当p=q时,2(1﹣t)(x﹣5)2=2﹣x∴(1﹣t)(x﹣5)2=﹣x⇒t=1+=1+,而f(x)=x+在(0,4]上单调递减,∴当x=4时,f(x)有最小值,此时t=1+取得最大值5;故当x=4时,关税税率的最大值为500%【点评】本题主要考查函数模型的应用,考查了指数方程的解法和双勾函数最值的求法.22.(18分)函数f(x)=2x﹣的定义域为(0,1](a为实数).(Ⅰ)当a=﹣1时,求函数y=f(x)的值域;(Ⅱ)若函数y=f(x)在定义域上是减函数,求a的取值范围;(Ⅲ)求函数y=f(x)在x∈(0,1]上的最大值及最小值,并求出函数取最值时x的值.【分析】(I)将a的值代入函数解析式,利用基本不等式求出函数的值域.(II)求出导函数,令导函数大于等于0在定义域上恒成立,分离出a,构造函数,通过求函数的最小值,求出a的范围.(III)通过对a的讨论,判断出函数在(0,1)上的单调性,求出函数的最值.解:(Ⅰ)显然函数y=f(x)的值域为;(Ⅱ)∵在定义域上恒成立而﹣2x2∈(﹣2,0)∴a≤﹣2(II)当a≥0时,函数y=f(x)在(0.1]上单调增,无最小值,当x=1时取得最大值2﹣a;由(2)得当a≤﹣2时,函数y=f(x)在(0.1]上单调减,无最大值,当x=1时取得最小值2﹣a;当﹣2<a<0时,函数y=f(x)在上单调减,在上单调增,无最大值,当时取得最小值.【点评】求函数的单调性常借助导数,当导函数大于0对应的区间是函数的单调递增区间;当导函数小于0对应的区间是函数的单调递减区间.求含参数的函数的性质问题时,一般要对参数讨论.23.(18分)定义在R上的偶函数f(x)满足f(x+1)=﹣f(x),且当x∈[﹣1,1]时,f (x)=x2.(1)求证:2是函数f(x)的一个周期;(2)求f(x)在区间[2k﹣1,2k+1],k∈Z上的函数解析式;(3)是否存在整数k,使对任意x∈[2k﹣1,2k+1]恒成立?若存在,请求出k的取值范围;若不存在,请说明理由.【分析】(1)因为f(x+2)=f[(x+1)+1]=﹣f(x+1)=﹣[﹣f(x)]=f(x)可得结论.(2)设x∈[2k﹣1,2k+1],则x﹣2k∈[﹣1,1]∵f(x)是以2为周期的函数,即f(x﹣2k)=f(x)可求解.(3)当x∈[2k﹣1,2k+1]时,恒成立,再用二次函数法求解.解:(1)因为f(x+2)=f[(x+1)+1]=﹣f(x+1)=﹣[﹣f(x)]=f(x)所以:2是函数f(x)的一个周期(2)∵f(x)是以2为周期的函数,即f(x﹣2k)=f(x),k∈Z设x∈[2k﹣1,2k+1],则x﹣2k∈[﹣1,1]∴f(x﹣2k)=(x﹣2k)2,即f(x)=(x﹣2k)2,x∈[2k﹣1,2k+1](k∈Z)(3)当x∈[2k﹣1,2k+1]时,①当k≥1时,则2k﹣1≥1,∴x>0∴原题等价于x2﹣2kx+4k2﹣9>0对任意x∈[2k﹣1,2k+1]恒成立.设g(x)=x2﹣2kx+4k2﹣9当k≥1时,对称轴x=k≤2k﹣1则g(2k﹣1)=4k2﹣2k﹣8≥0,解得或∴整数k≥2②当k≤﹣1时,则2k+1≤﹣1,∴x<0,∴原题等价于x2﹣2kx+4k2﹣9<0对任意x∈[2k﹣1,2k+1]恒成立,设g(x)=x2﹣2kx+4k2﹣9当k≤﹣1时,对称轴x=k≥2k+1则g(2k﹣1)=4k2﹣2k﹣8>0,解得∴整数k=﹣1③当k=0时,原命题等价于对任意x∈[﹣1,1]恒成立当x=1时,则﹣8>0显然不成立∴k≠0综上所述,所求k的取值范围是[2,+∞)∪﹣1.(16分)【点评】本题主要考查函数的周期性及用周期性求函数解析式,这类问题要注意转化自变量所在区间是关键.还考查了恒成立问题,要通过函数类型来求最值解决,本题用的是二次函数法,对称轴与区间的相对位置,即研究了单调性,也明确了自变量的正负,题目设计可谓巧妙.。

2019—2020学年度上海南汇中学第一学期高三10月月考高中物理

2019—2020学年度上海南汇中学第一学期高三10月月考高中物理

2019—2020学年度上海南汇中学第一学期高三10月月考高中物理物理试题考生注意:1.答卷前,考生务必将姓名、班级填写清晰.2.本试卷总分值150分,考试时刻120分钟.考生应用蓝色或黑色的钢笔或圆珠笔将答案直截了当写在试卷上.一、〔40分〕选择题. 本大题分单项选择题和多项选择题,共9小题,单项选择题有5小题,每题给出的四个答案中只有一个是正确的,选对得4分;多项选择题有4小题,每题给出的四个答案中,有二个或二个以上是正确的。

选对的得5分;选对但不全,得部分分;有选错或不答的,得0分。

把正确答案全选出来,并将正确答案前面的字母填写在题后的方括号内。

填写在方括号外的字母,不作为选出的答案。

I.单项选择题1.关于机械波,以下讲法不正确的选项是〔〕A.能在真空中传播B.频率由波源决定B.能产生干涉、衍射现象D.在传播过程中能传递能量2.关于地球上物体由于随地球自转而运动具有的向心加速度,正确的讲法有〔〕A.方向都指向地心B.两极处最小C.赤道处最小D.同一地点质量大的物体向心加速度也大3.做简谐振动的单摆摆长不变,假设摆球质量增加为原先的4倍,摆球通过平稳位置时速度减小为原先的1/2,那么单摆振动的〔〕A.频率、振幅都不变B.频率、振幅都改变C.频率不变、振幅改变D.频率改变、振幅不变4.水平地面上放一个重4N的足球,一个小孩用10N的力踢球,使球向前运动2m.关于小孩对球做功的以下讲法中,正确的选项是〔〕A.小孩对球做功20JB.小孩对球做功8JC.小孩对球做功28JD.题中条件不足,无法算出小孩对球做功的多少5.如下图,一个质量为m的物体〔可视为质点〕以某一速度从A点冲上倾角为30°的固定斜面,其运动的加速度为3g/4,这物体在斜面上上升的最大高度为h,那么在那个过程中物体的〔〕A.整个过程中物体机械能守恒B.重力势能增加了3mgh/4C.动能缺失了3mgh/2D.机械能缺失了mgh/4II.多项选择题6.如下图,两半径不同而内壁光滑的半圆轨道,一个小球分不从与球心在同一水平高度的A、B两点从静止开始自由下滑,通过轨道最低点时〔〕A.小球对两轨道的压力相同B.小球对两轨道的压力不同C.小球的向心加速度不相等D.小球的向心加速度相等7.土卫十和土卫十一是土星的两颗卫星,都沿近似为圆周的轨道绕土星运动。

  1. 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
  2. 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
  3. 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。

上海南汇中学2015学年高三10月月考卷II. ReadingSection A (16分)Directions: Read the following two passages. Fill in each blank with one proper word or the proper form of the given word to make the passage coherent. Make sure that your answers are grammatically correct.(A)People in all parts of the world are observing “No Tobacco Day”. It is the day 25 the World Health Organization appeals to people to stop using tobacco products. The WHO hopes 26 people stop smoking cigarettes or chewing tobacco for one day, they will stop permanently. The day includes special observances and awards ceremonies in 166 countries. The target group for this year’s “NO Tobacco Day” is women. Organizers want to make sure women know the dangers of smoking.Health experts have warned for years that smoking 27 lead to heart disease, cancer and other problem. The World Health Organization says diseases linked to smoking kill at least 2,500,000 persons each year. Still, many people find it difficult to stop smoking. One reason is nicotine, a substance found in cigarettes. Nicotine is a drug. The effects of it are similar to the effects of cocaine and heroin.“No Tobacco Day” is aimed at smokers and those 28 earn money from tobacco sales. So businesses are asked to stop selling tobacco products for twenty-four hours. Newspapers are required not 29 (publish )_advertisement for cigarettes.Two important developments 30 ( observe) in recent years. In industrial countries, the number of smokers has been falling about one percent a year. But in developing countries, the number of smokers has been rising two percent a year. This is the result of increased efforts by tobacco companies 31(sell) their products in developing countries.The World Health Organization has approved plans _to help reach its goal of a “smoke-free” world. 32 governments ought to offer tobacco farmers the chance to earn money by growing other crops. Another involves improved public information campaigns about the dangers of smoking.(B )In cinema's earliest days, the film industry was based in the nation's theatrical center, New York, and most films were made in New York or New Jersey, 33 a few were shot in Chicago, Florida, and elsewhere. Beginning in 1908, however, a growing number of filmmakers locatedin southern California, drawn by cheap land and labor, the ready accessibility of varied scenery, and a climate ideal for year-round outdoor filmingBy the early 1920s, Hollywood 34 (become) the world's film capital. It produced virtually all films 35(show) in the United States and received 80 percent of the revenue from films shown abroad. During the '20s, Hollywood bolstered its position as world leader 36 recruiting many of Europe's most talented actors and actresses, 37 37 Greta Garbo and Hedy Lamarr, directors like Ernst Lubitsch and Josef von Sternberg, as well as camera operators, lighting technicians, and set designers,By the end of the decade, Hollywood claimed to be the nation's fifth 38(large) industry,39 (attract) 83 cents out of every dollar Americans spent on amusement.Hollywood had also come to symbolize "the new morality" of the 1920s--a mixture of extravagance, glamour, hedonism, and fun. During the 1920s, movie attendance soared.By the middle of the decade,4 million people a week went to the movies—40 equivalent of half the nation’s population.In Chicago,in 1929,theaters had enough seats for half the city’s population to attend a movie each day.Section B (10分)Directions: Complete the passage with the words in the box.. Each word can only be used once. Note that there is one word more than you need.Spending on digital healthcare services in China will grow more than 36-fold from $3 billion in 2014 to $110 billion in 2020, according to a report published on Thursday.The report by Boston Consulting Group said that investors poured nearly $700 million intothe digital healthcare industry in China in 2014, 41 e-commerce and onlinephysician-and-patient communication devices, and these figures will grow exponentially."The growth of digital in China presents 42 to address some of the key issues 43 healthcare delivery in China," said John Wong, a BCG senior partner and co-author of the report, in a release about the report. "It should make the delivery of care more efficient while also giving people broader and easier 44 to high quality care. "In the report —China’s Digital Health Care Revolution, 45 on Thursday — the firmsaid there are three trends driving digital healthcare. Widespread adoption of technologies like mobile devices, cloud computing and big-data analytics.Companies are offering these digital services to Chinese patients in a sector where the government is continuing to implement reform and address unmet consumer needs. ManyChinese patients, for example, go to the hospital for simple needs like renewing a prescription, leading to 46 hospitals, and digital healthcare can alleviate such problems, the report said.There is also an increasingly 47 regulatory environment in China allowing healthcare companies can expand their businesses. The National Health and Family Planning Commission invested $9.5 billion to develop electronic medical records, and it has boosted digital healthcare, making it easier to 48 online pharmacies and sell certain types of drugs online in the coming years.The report recommended digital companies looking to enter the healthcare sector to do so by 49 with local hospitals and physicians, and to leverage advantages the digital companies have with mobile payment, social media, and search engine services.Drug companies need to build e-commerce capacities of their own, and pharmaceutical companies should use digital tools to improve sales and provide disease management.More digital tools will allow hospitals and physicians to lower wait time and big crowds, and 50 of things like electronic medical records will allow facilities to share information in real time, improving diagnosis and treatment, the report said.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B,C and D. Fill in each blank with the word or phrase that best fits the context.The famous American inventor Thomas Alva Edison once claimed that genius was one percent inspiration and ninety-nine percent perspiration(汗水). Now, it seems, there is scientific evidence to __51__ his claim. The idea that geniuses such as Shakespeare, Mozart, and Picasso possessed certain inborn talents is a false belief, according to a study by a British psychologist and his colleagues.After examining outstanding performance in the arts and sports, these researchers concluded that __52__ is determined by opportunity, encouragement, training, motivation, self-confidence, and — most important of all — __53__. Even people who were not thought to be 54__ with any special talent could, after having received training, reach levels __55__ considered attainable (可获得的) only by gifted individuals. ‘Talent is a false belief, and it is time that people got rid of it,” they said.This theory — a dramatic __56__ with traditional beliefs — has been __57__ by academics worldwide. In fact, studies of accomplished artists and mathematicians, and top tennis players and swimmers, have reported few early signs of __58__ in these people before any parental encouragement. No case has been found of anyone reaching the highest levels of achievement without __59__ himself or herself to thousands of hours of serious training. Even those who are believed to be exceptionally talented — whether in music, mathematics, chess, or sports — have needed lengthy periods of instruction and practice to achieve their highest level of success. ‘The persistent false belief that some people reach high levels of performance without spending numerous hours practising __60__ much to the fact that their practice is usually outside the casual observer’s view,’ stated one scientist.The importance of practice has been noticed in athletics. For instance, differences in the composition of certain muscles were once thought to be __61__ predictors of athletic performance. However, the differences in the proportion of certain muscle fibers(组织) that are __62__ for success in long-distance running are largely the result of extended practice in running.‘What makes a genius then?’ one may ask. __63__, there is no clear answer. What is known, however, is that ‘nurture’ is at least as important as ‘nature.’ __64__, a supportive environment will do far more for a child’s prospects of success than any inborn gifts. This is a message that most of us will find __65__ —even if we haven’t won the gene lottery, our fate is still in our own hands.51. A. make B. challenge C. support D. dismiss52. A. excellence B. harmony C. negotiation D. response53. A. education B. practice C. fortune D. character54. A. satisfied B. concerned C. decorated D. gifted55. A. preciously B. practically C. previously D. primarily56. A. break B. association C. partnership D. relief57. A. doubted B. concluded C. mentioned D. applauded58. A. accomplishment B. treasure C. diligence D. inspiration59. A. adapting B. attaching C. linking D. devoting60. A. carries B. leaves C. owes D. connects61. A. creative B. reliable C. natural D. active62. A. essential B. suitable C. possible D. feasible63. A. Unlikely B. Similarly C. Hopefully D. Unfortunately64. A. To sum up B. In other words C. For example D. In addition65. A. misleading B. puzzling C. comforting D. amusing答案:51-55CABDC 56-60ADADC 61-65BADBC解析:51. 选C,前面引用爱迪生的名言:天才=1%的灵感+99%的汗水,后面列举一些名人说明与生俱来的才能是不可信的,所以是support 支持。

相关文档
最新文档