2004年高考重庆卷
2004年高考试题——语文(重庆卷)含答案详解版
2004年普通高等学校招生全国统一考试语文（重庆卷）第一部分一、(本大题共6小题，每小题3分，共18分)1．下列词语中加点的字的读音不完全相同的一组是A．远岫．刺绣．衣袖．秀．外慧中乳臭．未干B．老妪．曲．直祛．除趋．炎附势屈．打成招C．涕．泪抽屉．警惕．风流倜．傥替．罪羔羊D．露．脸简陋．痔瘘．漏．网之鱼镂．骨铭心2．下列词语中没有错别字的一组A．零售语重心长直抒胸意礼义之邦B．怠慢励精图治以德抱怨语无轮次C．枢纽夜郎自大招致非议五色斑斓D．敲诈变本加厉风餐露宿挑肥捡瘦3．依次填入下列各句横线处的词语，最恰当的一组是①XX公司已被我们收购，大家要抓紧时间做好和管理工作。
②这家商场的购物环境不错，广告宣传也做了不少，但营业额一直很低。
商场得做做市场调查，找找原因。
③这些任务很艰巨，但我们必须抓紧干，早一点完成任务。
A．接收看来尽量B．接收可见尽快C．接洽看来尽量D．接洽可见尽快4．下列选项中加点的词语使用不恰当的一项是A．离投票的日子越来越近了，虚虚实实，真真假假，凡是有损施瓦辛格形象的陈芝．．麻烂谷子．．．．都被翻出来了。
B．还想让你老爸保你过关吗?老实告诉你吧，他已是泥菩萨过河．．．．了，．．．．．——自身难保谁也救不了你!C．不久前，王刚又杀．回马枪，再返中央电视台主持节目，舍“动物”而去找“朋友”，又迅速吸引了不少观众的眼球。
D．就你摊的那些活儿，我三下五除二．．．．．就可以把它弄清爽!谁像你，几天也拿不下来。
5．下列各句中没有语病的一句是A．卫生部专家组根据临床表现以及实验室检查和流行病学调查结果，诊断该患者为传染性非典型肺炎疑似病例。
B．现在，我又看到了那阔别多年的乡亲，那我从小就住惯了的山区所特有的石头和茅草搭成的小屋，那崎岖的街道，那熟悉的可爱的乡音。
C．“英语广播讲座”之所以能给我很大的帮助，我认为把讲课和练习结合起来是它突出的优点。
D．国产轿车的价格低，适于百姓接受，像“都市贝贝”市场统一售价才6.08万元，“英格尔”是6.88万元，新款“桑塔纳”也不过十几万元左右。
2004年普通高等学校招生全国统一考试 数 学(文史类)(重庆卷)
2004年普通高等学校招生全国统一考试数 学(文史类)(重庆卷)本试卷分第Ⅰ部分(选择题)和第Ⅱ部分(非选择题)共150分 考试时间120分钟.第Ⅰ部分(选择题 共60分)参考公式:如果事件A 、B 互斥,那么 P(A ＋B)＝P(A)＋P(B) 如果事件A 、B 相互独立,那么 P(A·B)＝P(A)·P(B)如果事件A 在一次试验中发生的概率是P,那么n 次独立重复试验中恰好发生k 次的概率k n kk n n P P C k P --=)1()(一、选择题:本大题共12小题,每小题5分,共60分.在每小题给出的四个选项中,只有一项是符合题目要求的. 1.函数y =( )A.[1,)+∞B.23(,)+∞ C.23[,1] D.23(,1]2.函数221()1x f x x -=+, 则(2)1()2f f =( )A.1B.－1C.35 D.35- 3.圆222430x y x y +-++=的圆心到直线1x y -=的距离为( )A.2C.14.不等式221x x +>+的解集是( )A.(1,0)(1,)-+∞B.(,1)(0,1)-∞-C.(1,0)(0,1)-D.(,1)(1,)-∞-+∞5.sin163sin 223sin 253sin313+=( )A.12-B.12C.6.若向量a 与b 的夹角为60,||4,(2).(3)72b a b a b =+-=-,则向量a 的模为 ( ) A.2 B.4 C.6 D.127.已知p 是r 的充分不必要条件,s 是r 的必要条件,q 是s 的必要条件。
那么p 是q 成立的: ( ) A.充分不必要条件 B.必要不充分条件 C.充要条件 D.既不充分也不必要条件 8.不同直线,m n 和不同平面,αβ,给出下列命题 ( )①////m m αββα⎫⇒⎬⊂⎭ ② //////m n n m ββ⎫⇒⎬⎭③,m m n n αβ⊂⎫⇒⎬⊂⎭异面 ④ //m m αββα⊥⎫⇒⊥⎬⎭其中假命题有: ( )A.0个B.1个C.2个D.3个9. 若{}n a 是等差数列,首项120032004200320040,0,.0a a a a a >+><,则使前n 项和0n S > 成立的最大自然数n 是( )A.4005B.4006C.4007D.400810.已知双曲线22221,(0,0)x y a b a b-=>>的左,右焦点分别为12,F F ,点P 在双曲线的右支上,且12||4||PF PF =,则此双曲线的离心率e 的最大值为( ) A.43 B.53 C.2 D.7311.已知盒中装有3只螺口与7只卡口灯炮,这些灯炮的外形与功率都相同且灯口向下放着,现需要一只卡口灯炮使用,电工师傅每次从中任取一只并不放回,则他直到第3次才取得卡口灯炮的概率为 ( )A.2140B.1740C.310 D.712012. 如图,棱长为5的正方体无论从哪一个面看,都有两个直通的边长为1的正方形孔,则这个有孔正方体的表面积(含孔内各面)是 ( ) A.258 B.234 C.222 D.210第Ⅱ部分(非选择题 共90分)13.若在5(1)ax +的展开式中3x 的系数为80-,则_______a =14.已知)0,0(,232>>=+y x yx ,则xy 的最小值是____________ 15.已知曲线31433y x =+,则过点(2,4)P 的切线方程是______________ 16.毛泽东在《送瘟神》中写到:“坐地日行八万里”。
2004年重庆卷高考真题英语试卷-学生用卷
2004年重庆卷高考真题英语试卷-学生用卷一、单项选择（每小题1分，共15分）1、【来源】 2004年高考真题重庆卷第21题1分2017~2018学年9月广东广州海珠区广州市南武中学高二上学期月考第17题0.5分You can eat free in my restaurant you like.A. wheneverB. whereverC. whicheverD. however2、【来源】 2004年高考真题重庆卷第22题1分2017~2018学年北京西城区北京市第四中学高二上学期期末第37题1分The crazy fans patiently for two hours, and they would wait till the movie star arrived.A. were waitingB. had been waitingC. has waitedD. would waited3、【来源】 2004年高考真题重庆卷第23题1分She her hairstyle in her hometown before she came to Chongqing for a better job.A. would changeB. has changedC. had changedD. was changing4、【来源】 2004年高考真题重庆卷第24题1分"The interest be divided into five parts, according to the agreement made by both sides, ” declared the judge.A. mustB. shouldC. mayD. shall5、【来源】 2004年高考真题重庆卷第25题1分I intended to compare notes with a friend, but unfortunately couldn't spare me even one minute.A. theyB. oneC. whoD. it6、【来源】 2004年高考真题重庆卷第26题1分Before the war broke out, many people in safe places possessions they could not take with them.A. threw awayB. put awayC. gave awayD. carried away7、【来源】 2004年高考真题重庆卷第27题1分They see you as something of a worrier,problems which don't exist and crossing bridges long before you come to them.A. settlingB. discoveringC. seeingD. designing8、【来源】 2004年高考真题重庆卷第28题1分—I think George doesn't really care for TV plays.—Right,he still watches the program.A. andB. butC. orD. so9、【来源】 2004年高考真题重庆卷第29题1分There are eight tips in Dr Rogers lecture on sleep, and one of them is:to bed early unless you think it is necessary.A. doesn't goB. not to goC. not goingD. don't go10、【来源】 2004年高考真题重庆卷第30题1分Laws that punish parents for their little children's actions against the laws getparents.A. worriedB. to worryC. worryingD. worry11、【来源】 2004年高考真题重庆卷第31题1分---One week's time has been wasted.---I can't believe we did all that work for.A. somethingB. nothingC. everythingD. anything12、【来源】 2004年高考真题重庆卷第32题1分The most important thing about cotton in history is part that it playedin Industrial Revolution.A. /; /B. the; /C. the; theD. a; the13、【来源】 2004年高考真题重庆卷第33题1分The husband gave his wife every month in order to please her.A. all half his incomeB. his half all incomeC. half his all incomeD. all his half income14、【来源】 2004年高考真题重庆卷第34题1分I failed in the final examination last term and only then the importance of studies.A. I realizedB. I had realizedC. had I realizedD. did I realize15、【来源】 2004年高考真题重庆卷第35题1分—Let's go and have a good drink tonight.—Have you got the first prize in the competition?A. What for?B. Thanks a lot.C. Yes, I'd like to.D. Why not?二、完形填空（每小题1.5分，共30分）16、【来源】 2004年高考真题重庆卷第36题20分2018~2019学年甘肃庆阳宁县高一上学期期末第21~40题40分2019~2020学年甘肃兰州高一上学期期末第21~40题30分2016~2017学年贵州遵义务川仡佬族苗族自治县务川县民族中学高二下学期期中第21~40题30分2015~2016学年天津和平区天津市耀华中学高二上学期期末第31~50题20分A little boy invited his mother to attend his school's first teacher-parent meeting. To the littleboy's1, she said she would go. This2be the first time that his classmates and teacher3his mother and hefelt4of her appearance. Although she was a beautiful woman, there was a severe scar （疤痕） that5nearly the entire right side of her face. The boy never wanted to6why or how she got the scar.At the meeting, the people were7by the kindness and natural beauty of his mother8the scar, but the little boy was still embarrassedand9himself from everyone. He did, however, getwithin10of a conversation between his mother and his teacher.The teacher asked11, "How did you get the scar on your face?"The mother replied, "12my son was a baby, he was in a room that caught fire. Everyone was13afraid to go in because the firewas14so I went in. As I was running toward his bed, I saw a long piece of wood coming down and I placed myself over him trying to protect him. I wasknocked15but fortunately, a fireman came in and saved both of us.She16the burned side of her face. "This scar willbe17, but to this day, I have never18what I did."At this point, the little boy came out running toward his mother with tears in his eyes. He held her in his arms and felt a great19of the sacrifice that his mother had made for him. He held her hand20for the rest of the day.A. enjoymentB. disappointmentC. surpriseD. excitementA. wouldB. couldC. shouldD. mustA. noticedB. greetedC. acceptedD. metA. sickB. ashamedC. afraidD. tiredA. includedB. passedC. coveredD. shadedA. talk aboutB. think aboutC. care aboutD. hear aboutA. impressedB. surprisedC. excitedD. comfortedA. in sight ofB. by means ofC. by way ofD. in spite ofA. hidB. protectedC. separatedD. escapedA. understandingB. remindingC. hearingD. learningA. carefullyB. seriouslyC. nervouslyD. anxiouslyA. AsB. WhenC. SinceD. WhileA. soB. muchC. quiteD. tooA. out of controlB. under controlC. in controlD. over controlA. helplessB. hopelessC. senselessD. uselessA. pointedB. showedC. wipedD. touchedA. uglyB. lastingC. seriousD. frighteningA. forgotB. recognizedC. consideredD. regrettedA. honorB. senseC. happinessD. prideA. quietlyB. slightlyC. tightlyD. suddenly三、阅读理解（每小题2分，共40分）17、【来源】 2004年高考真题重庆卷（A篇）第37题6分Geneva is situated between the Jura Range and the Alps on the western end of Lake Geneva. Capital of Peace is one of its names—the European headquarters of the United Nations lies here in Palais des Nations. Another worthy name for this city with a humanitarian tradition（人道主义传统）and international character is the World's Smallest Metropolis. Parks, splendid stores and lively streets in the old part of town and its 2000-year history wait to be discovered.The Jet d'Eau together with the Flower Watch is the main attraction every year for the tourists visiting Geneva. The Jet d'Eau has become the symbol（象征）of Geneva for a long time. This is a 140 meters high water monument with a rich history. Eight 13, 500-watt projectors light the grand column（圆柱）of the fountain in the evening, from early March until the second Sunday of October. The Flower Watch, which was created at the edge of the English Garden in 1955, reminds us about that Geneva is the birthplace of the Swiss clock and watch making, and that this industry has become internationally famous, as well through the quality of the watches as through their beautiful appearance.Sails on Lake Geneva are also enjoyable. The Lake of Geneva, lying among the Alps, is a true inland sea, making possible a wide range of pleasant boat trips. You can relax and watch the beautiful scenes pass by.(1) Which of the following is NOT suitable for describing Geneva?A. Capital of Peace.B. Palais des nations.C. The World' s Smallest Metropolis.D. The birthplace of the Swiss clock and watch making.(2) The Jet d'Eau in the second paragraph refers to.A. the water fountainB. the English GardenC. a new scene with electric lightingD. the name of a famous watchmaker(3) What do we learn about the Lake of Geneva from the text?A. It is the symbol of Geneva.B. It lies among the Jura Range.C. It has a direct passage to the ocean.D. It is a large body of water of tourist interest.18、【来源】 2004年高考真题重庆卷（B篇）第38题8分2019~2020学年北京西城区北京市第六十六中学高一上学期期中第35~38题8分(每题2分) Since many of you are planning to study at a college or university in this country, you may be curious to know what you usually do in a typical week, how you can get along with your fellow students, and so on. These are the questions I want to discuss with you today.First, let's talk about what your weekly schedule will look like. No matter what your major may be, you can expect to spend between four and six hours a week for each class attending lectures. Lectures are usually in very large rooms because some courses such as introduction to sociology or economics often have as many as two or three hundred students, especially at large universities. In lectures, it's very important for you to take notes on what the professor says because the information in a lecture is often different from the information in your textbooks. Also, you can expect to have exam questions based on the lectures. So it isn't enough to just read your textbooks; you have to attend lectures as well. In a typical week you will also have a couple of hours of discussion for every class you take. The discussion section is a small group meeting usually with fewer than thirty students where you can ask questions about the lectures, the reading, and the homework. In large universities, graduate students, called teaching assistants, usually direct discussion sections.If your major is chemistry, or physics, or another science, you'll also have to spend several hours a week in the lab, or laboratory, doing experiments. This means that science majors spend more time in the classroom than non-science majors do. On the other hand, people who major in subjects like literature or history usually have to read and write more than science majors do.(1) The main purpose of this text is.A. to help the students to learn about university lifeB. to persuade the students to attend lecturesC. to encourage the students to take part in discussionsD. to advise the students to choose proper majors(2) We can learn from the passage that university professors.A. spend about 5 hours on lectures each weekB. must join the students in the discussion sectionsC. prefer to use textbooks in their lecturesD. require the students to read beyond the textbooks(3) A discussion section does NOT include.A. working under the guidance of university professorsB. talking over what the students have read about the coursesC. discussing the problems related to the students' homeworkD. raising questions about what a professor has said in a lecture(4) According to the author, science majors.A. have to work harder than non-science majorsB. spend less time on their studies than non-science majorsC. consider experiments more important than discussionsD. read and write less than non-science majors19、【来源】 2004年高考真题重庆卷（C篇）第39题10分A letter to Edward, a columnist（专栏作家）Dear Mr. Expert,I grew up in an unhappy and abusive home. I always promised myself that I'd get out as soon as possible. Now, at age 20, I have a good job and a nice house, and I'm really proud of the independence I've achieved.Here's the problem: several of my friends who still live with their parents wish they had places like mine so much so that they make mine theirs.It started out with a couple of them spending the weekends with me. But now they seem to take it for granted that they can show up at any time they like. They bring boyfriends over, talk on the phone and stay out forever.I enjoy having my friends here sometimes—it makes the place feel comfortable and warm but this is my home, not a party house. I was old enough to move out on my own, so why can't I seem to ask my friends to respect my privacy （隐私）?JoanEdward's reply to JoanDear Joan,If your family didn't pay attention to your needs when you were a child, you probably have trouble letting others know your needs now.And if you've gathered your friends around you to rebuild a happy family atmosphere （气氛），you may fear that saying no will bring back the kind of TAL#NBSP conflict fight you grew up with—or destroy the nice atmosphere you now enjoy. You need to understand that in true friendship it's okay to put your own needs first from time to time.Be clear about the message you want to send. For example, "I really love your company but I also need some privacy. So please call before you come over."Edward(1) We can learn from the first letter that Joan.A. lives away from her parentsB. takes pride in her friendsC. knows Mr. Expert quite wellD. hates her parents very much(2) We can infer from the first letter that.A. Joan considers her friends more important than her privacyB. Joan's friends visit her more often than she can acceptC. Joan doesn't like the parties at allD. Joan dislikes the boyfriends her friends bring over(3) According to Mr. Expert, why can't Joan tell her friends her feelings?A. She is afraid of hurting her friends.B. She does not understand true friendship.C. Her family experience stops her from doing so.D. She does not put her needs first.(4) The underlined word "conflict" in the second letter means.A. dependent lifeB. fierce fightC. bad mannersD. painful feeling(5) The second letter suggests that Mr. Expert.A. is worried about Joan's problemB. warns Joan not to quarrel with her friendsC. advises Joan on how to refuse peopleD. encourages Joan to be brave enough20、【来源】 2004年高考真题重庆卷（D篇）第40题8分Have you ever had the strange feeling that you were being watched? You turned around and, sure enough, someone was looking right at you!Parapsychologists（灵学家） say that humans have natural ability to sense when someone is looking at them. To research whether such a "sixth sense" really exists, Robert Baker, a psychologist（心理学家） at the University of Kentucky, performed two experiments.In the first one, Baker sat behind unknowing people in public places and stared at the backs of their heads for 5 to15 minutes The subjects（受试者）were eating, drinking, reading, studying, watching TV, or working at a computer. Baker made sure that the people could not tell that he was sitting behind them during those periods. Later, when he questioned the subjects, almost all of them said they had no sense that someone was staring at them.For the second experiment, Baker told the subjects that they would be stared at from time to time from behind a two-way mirror in a laboratory setting. The people had to write down when they felt they were being stared at and when they weren't.Baker found that the subjects were no better at telling when they were stared at than if they had just guessed. Baker concludes that people do not have the ability to sense when they're being stared at. Ifpeople doubt the TAL#NBSP outcome of his two experiments, said Baker, " I suggest they repeat the experiments and see for themselves".(1) The purpose of the two experiments is to.A. explain when people can have a sixth senseB. show how people act while being watched in the labC. study whether humans can sense when they are stared atD. prove why humans have a sixth sense(2) In the first experiment, the subjects.A. were not told that they would be stared atB. lost their sense when they were stared atC. were not sure when they would be stared atD. were uncomfortable when they were stared at(3) The underlined word "outcome" in the last paragraph most probablymeans.A. valueB. resultC. performanceD. connection(4) What can be learned from the passage?A. People are born with a sixth sense.B. The experiments support parapsychologists' idea.C. The subjects do not have a sixth sense in the experiments.D. People have a sixth sense in public places.21、【来源】 2004年高考真题重庆卷（E篇）第41题8分Besides giving off gases and dusts into the air, humans produce waste that is poured on the environment. Often, this waste produced by major industries and people is harmful to both nature and human life.One of the main causes of the large amount of dangerous waste is that people do not realize how large a problem it is. Because it can be simply removed and sent to a landfill（废渣填埋场）, the problem is often believed to end there. In addition, industries have often shown an unwillingness to find ways to deal with dangerous waste because of the related expenses. Many industries and governments build simple landfills to store waste and often just pour waste chemicals into nearby bodies of water. Often, chemicals used for industrial production cause dangerous forms of waste. The amount of these chemicals has increased greatly in the past, but it is often difficult and expensive to get rid of these chemicals or to store them in a way safe to human life and the environment.Every year, major health problems result from dangerous waste. Sadly, it is often only after someone has died or become seriously ill that governments will take measures to reduce levels of harmful waste.Some governments have realized how serious the dangerous waste problem is and are now trying to settle this problem. They are also trying to limit the amount of waste industries which are allowed to produce.Not only governments but ordinary people as well must work together to solve the problem. They can choose not to buy those products which require the production of dangerous waste, and produce less harmful waste themselves. Many scientists think that waste production can be cut. The waste can be reduced by at least one third using existing technologies and methods.(1) What would be the best title for the text?A. Measures of Reducing Dangerous WasteB. Danger of Harmful Waste to MankindC. Dangerous Waste and Water PollutionD. Environmental Protection(2) According to the text, people.A. do not produce harmful waste in their daily lifeB. do not know where to place the dangerous wasteC. are not clear about how serious the dangerous waste problem isD. are not sure about where harmful waste ends(3) What troubles industries most in dealing with the dangerous waste problem?A. How to get government support.B. How to increase their production.C. How to store harmful waste.D. How to cut down the related costs.(4) What can be inferred from the passage?A. The polluting industries are not allowed to sell their products.B. Present technologies have settled the harmful waste problemC. Everyone should obey the government rules for the problem.D. To solve the problem requires the efforts of the whole society.四、短文改错（每小题1分，共10分）22、【来源】 2004年高考真题重庆卷第42题10分此题要求改正所给短文中的错误。
2004年重庆高考语文试卷
2004年重庆高考语文试卷一、选择题（每题3分，共30分）下列词语中加点的字，读音全都正确的一组是（）A. 蹉跎（tuó）忸怩（niǔ）鞭笞（chī）暴殄天物（tiǎn）B. 觊觎（jì）龃龉（yǔ）拗口（ǎo）咫尺天涯（zhǐ）C. 箴言（zhēn）戕害（qiāng）颦蹙（pín）怙恶不悛（quān）D. 踯躅（zhí）葳蕤（ruí）觇视（chān）怵目惊心（chù）下列各句中，加点的成语使用恰当的一项是（）A. 他在填报高考志愿时，又想报北大，又想报清华，总是见异思迁。
B. 他性格孤僻，不善言谈，在人多的时候总是沉默寡言。
C. 李娜从小就养成了自认为高人一等的优越感，即使在医院要别人照顾，也依然颐指气使，盛气凌人。
D. 我们来到郊外，登上开满杂花的小山，俯瞰山下沧海桑田，真是心旷神怡！下列各句中，没有语病的一句是（）A. 2019年10月1日上午，庆祝中华人民共和国成立70周年大会在北京天安门广场隆重举行，20余万军民以盛大的阅兵仪式和群众游行欢庆共和国70华诞。
B. 《哪吒之魔童降世》这部电影之所以受到观众欢迎的原因，是因为其画面精美、情节曲折、引人入胜造成的。
C. 高速磁悬浮列车运行时与轨道完全不接触。
它没有轮子和传动机构，列车的悬浮、导向、驱动和制动都靠的是利用电磁力来实现的。
D. 当下，网络文学蓬勃发展，但不少网络文学作品存在文字粗糙、行文不规范的毛病，这将会很大程度地影响文学的健康发展。
下列句子中，表达得体的一句是（）A. 真是事出意外！舍弟太过顽皮，碰碎了您家这么贵重的花瓶，敬请原谅，我们一定照价赔偿。
B. 他的书法龙飞凤舞，引来一片赞叹，但落款却出了差错，一时又无法弥补，只好连声道歉：“献丑，献丑！”C. 他是我最信任的朋友，头脑灵活，处事周到，每次我遇到难题写信垂询，都能得到很有启发的回复。
D. 我妻子和郭教授的内人是多年的闺蜜，她俩经常一起逛街、一起旅游，话多得似乎永远都说不完。
2004年重庆高考英语试题及答案
2004年普通高等学校招生全国统一考试·英语试题·重庆卷第一卷(三部分，共115分)第一部分听力(共两节，满分 30 分)第一节(共5小题；每小题 1.5 分，满分7.5 分)听下面5 段对话。
每段对话有一个小题，从题中所给的A、B、C 三个选项中选出最佳选项，并从标在试题卷的相应位置。
听完每段对话后，你都有10 秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
例：How much is the shirt?A. ￡19.5B. ￡9.15C. ￡9.18答案是B。
1. Where does this conversation take place?A. At a bankB. At a hospitalC. At a post office2. What are the two speakers mainly talking about?A. What they do while traveling.B. When they do their homework.C. How they spend their spare time.3. What is the probable relationship between the two speakers?A. Husband and wife.B. Passenger and conductor.C. Customer and shop assistant.4. What happens to Mr Jordan?A. He is ill.B. He is out of work.C. He is on holiday.5. What does the woman mean?A. She wants to go on watching TV.B. She wants the man to turn the TV off.C. She does not mind what the man will do.第二节(共15 小题；每小题 1.5 分，满分22.5 分)听下面5 段对话或独白。
2004年普通高等学校招生全国统一考试重庆卷文科数学试题及答案
2004年普通高等学校招生重庆卷文史类数学试题本试卷分第Ⅰ部分（选择题）和第Ⅱ部分（非选择题）共150分考试时间120分钟.第Ⅰ部分（选择题共60分）参考公式：如果事件A、B互斥，那幺 P(A+B)=P(A)+P(B)如果事件A、B相互独立，那幺P(A·B)=P(A)·P(B)如果事件A在一次试验中发生的概率是P，那幺n次独立重复试验中恰好发生k次的概率一、选择题：本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.函数的定义域是（）A． B． C． D．2. 函数, 则 ( )A 1B -1C D3.圆的圆心到直线的距离为：（）A 2BC 1 D4．不等式的解集是：（）A BC D5．( )A B C D6．若向量的夹角为，,则向量的模为：（）A 2B 4C 6D 127．已知p是r的充分不必要条件，s是r的必要条件，q是s的必要条件那么p是q成立的：（）A 充分不必要条件B 必要不充分条件C 充要条件D 既不充分也不必要条件8．不同直线和不同平面，给出下列命题：①②③④其中假命题有：（）A 0个B 1个C 2个D 3个9．若数列是等差数列，首项，则使前n项和成立的最大自然数n是：（）A 4005B 4006C 4007D 400810．已知双曲线的左，右焦点分别为,点P在双曲线的右支上，且,则此双曲线的离心率e的最大值为：( )A B C D11．已知盒中装有3只螺口与7只卡口灯炮，这些灯炮的外形与功率都相同且灯口向下放着，现需要一只卡口灯炮使用，电工师傅每次从中任取一只并不放回，则他直到第3次才取得卡口灯炮的概率为：（）A B C D12．如图，棱长为5的正方体无论从哪一个面看，都有两个直通的边长为1的正方形孔，则这个有孔正方体的表面积（含孔内各面）是：（）A 258B 234C 222D 210第Ⅱ部分（非选择题共90分）题号二三总分17 18 19 20 21 22分数二、填空题：本大题共4小题，每小题4分，共16分.把答案填在题中横线上.13. 若在的展开式中的系数为，则14．已知,则的最小值是____________15．已知曲线，则过点的切线方程是______________ 16．毛泽东在《送瘟神》中写到：“坐地日行八万里”又知地球的体积大约是火星的8倍，则火星的大圆周长约______________万里三、解答题：本题共6小题，共74分，解答应写出文字说明，证明过程或演算步骤.17．（本小题满分12分）求函数的取小正周期和取小值；并写出该函数在上的单调递增区间18．（本小题满分12分）设甲、已、丙三人每次射击命中目标的概率分别为0.7、0.6和0.5（1）三人各向目标射击一次，求至少有一人命中目标的概率及恰有两人命中目标的概率；（2）若甲单独向目标射击三次，求他恰好命中两次的概率19．（本小题满分12分）如图，四棱锥P-ABCD的底面是正方形，(1) 证明MF是异面直线AB与PC的公垂线；(2) 若,求直线AC与平面EAM所成角的正弦值20．（本小题满分12分）某工厂生产某种产品，已知该产品的月生产量（吨）与每吨产品的价格（元/吨）之间的关系式为：,且生产x吨的成本为（元）问该产每月生产多少吨产品才能使利润达到最大？最大利润是多少？（利润=收入─成本）21．（本小题满分12分）设是一常数，过点的直线与抛物线交于相异两点A、B，以线段AB为直经作圆H（H为圆心）试证抛物线顶点在圆H的圆周上；并求圆H的面积最小时直线AB的方程22．（本小题满分14分）设数列满足:(1)令求数列的通项公式；(2)求数列的前n项和2004年普通高等学校招生重庆卷文史类数学试题参考答案一、选择题：每小题5分，共60分.1．D 2．B 3．D 4．A 5．B 6．C 7．A 8．D 9．B 10．B 11．D 12．C 二、填空题：每小题4分，共16分.13．－2 14．6 15．16．4三、解答题：共74分.17．（本小题12分）故该函数的最小正周期是；最小值是－2；单增区间是18．（本小题12分）解：（I）设A K表示“第k人命中目标”，k=1，2，3.这里，A1，A2，A3独立，且P（A1）=0.7，P（A2）=0.6，P（A3）=0.5.从而，至少有一人命中目标的概率为恰有两人命中目标的概率为答：至少有一人命中目标的概率为0.94，恰有两人命中目标的概率为0.44（II）设甲每次射击为一次试验，从而该问题构成三次重复独立试验.又已知在每次试验中事件“命中目标”发生的概率为0.7，故所求概率为答：他恰好命中两次的概率为0.441.19．（本小题12分）（I）证明：因PA⊥底面，有PA⊥AB，又知AB⊥AD，故AB⊥面PAD，推得BA⊥AE，又AM∥CD∥EF，且AM=EF，证得AEFM是矩形，故AM⊥MF.又因AE⊥PD，AE⊥CD，故AE⊥面PCD，而MF∥AE，得MF⊥面PCD，故MF⊥PC，因此MF是AB与PC的公垂线.（II）解：因由（I）知AE⊥AB，又AD⊥AB，故∠EAD是二面角E—AB—D的平面角.设AB=a，则PA=3a.因Rt△ADE~Rt△PDA故∠EAD=∠APD因此.20．（本小题12分）解：每月生产x 吨时的利润为，故它就是最大值点，且最大值为：答：每月生产200吨产品时利润达到最大，最大利润为315万元.21．（本小题12分）解法一：设，则其坐标满足消去x得则因此.故O必在圆H的圆周上.又由题意圆心H（）是AB的中点，故由前已证，OH应是圆H的半径，且.从而当a=0时，圆H的半径最小，亦使圆H的面积最小.解法二：设，则其坐标满足分别消去x，y得故得A、B所在圆的方程明显地，O（0，0）满足上面方程故A、B、O三点均在上面方程的表示的圆上.又知A、B中点H的坐标为故而前面圆的方程可表示为故|OH|为上面圆的半径R，从而以AB为直径的圆必过点O（0，0）.又，故当a=0时，R2最小，从而圆的面积最小，解法三：同解法一得O必在圆H的圆周上又直径|AB|=上式当时，等号成立，直径|AB|最小，从而圆面积最小.此时a=0.22．（本小题14分）解：（I）因故{b n}是公比为的等比数列，且（II）由注意到可得记数列的前n项和为T n，则。
2004年重庆英语卷
2004年普通高等学校全国统一招生考试（重庆卷）英语本试卷分第一卷（选择题）和第二卷（非选择题）两部分。
共150分。
考试时间120分钟。
第一卷（三部分，共115分）第一部分听力（共两节，满分30分）第一节(共5小题；每小题1.5分，满分7.5分)听下面5段对话。
每段对话有一个小题，从题中所给的A、B、C三个选项中选出最佳选项选项，并从标在试题卷的相应位置。
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 does this conversation take place?A．At a bank B．At a hospital C．At a post office2．what are the two speakers mainly talking about?A．What they do while traveling.B．When they do their homework.C．How they spend their spare time.3．What is the probable relationship between the two speakers?A．Husband and wife. B．Passenger and conductor. C．Customer and shop assistant. 4．What happens to Mr Jordan?A．He is ill. B．He is out of work. C．He is on holiday.5．What does the woman mean?A．She wants to go on watching TV.B．She wants the man to turn the TV off.C．She does not mind what the man will do.第二节(共15小题；每小题1.5分，满分22.5分)听下面5段对话或独白。
[2004年][高考真题][重庆卷][理综][答案].
![[2004年][高考真题][重庆卷][理综][答案].](https://img.taocdn.com/s3/m/e54610535f0e7cd18425369e.png)
2004年普通高等学校招生全国统一考试（二）理科综合能力测试第I卷（选择题共21题每题6分共126分）以下数据可供解题时参考：原子量；C 17 N 14 O 16 Na 23 Mg 24 P 31 Cl 35．5 K 39 Ca 40 Fe56l．下列关于光合作用强度的叙述，正确的是A．叶片从幼到老光合作用强度不变B．森林或农田中植株上部叶片和下部叶片光合作用强度有差异C．光合作用强度是由基因决定的，因此是固定不变的D．在相同光照条件下，各种植物的光合作用强度相同2．某生物的体细胞染色体数为2n。
该生物减数分裂的第二次分裂与有丝分裂相同之处是A．分裂开始前，都进行染色体的复制B．分裂开始时，每个细胞中的染色体数都是2nC．分裂过程中，每条染色体的着丝点都分裂成为两个D．分裂结束后，每个子细胞的染色体数都是n3．用一定量的甲状腺激素连续饲喂正常成年小白鼠4周，与对照组比较，实验组小白鼠表现为A．耗氧量增加、神经系统的兴奋性降低B．耗氧量增加、神经系统的兴奋性增强C．耗氧量减少、神经系统的兴奋性降低D．耗氧量减少、神经系统的兴奋性增强4．下列属于生态系统食物同特征的是A．一种生物只能被另一种生物捕食B．食物链的环节数是无限的C．一种生物可能属于不同的营养级D ．食物网上的生物之间都是捕食关系5．用动物细胞工程技术获取单克隆抗体，下列实验步骤中错误．．的是） A ．将抗原注入小鼠体内，获得能产生抗体的B 淋巴细胞B ．用纤维素酶处理B 淋巴细胞与小鼠骨髓瘤细胞C ．用聚乙二醇作诱导剂，促使能产生抗体的B 淋巴细胞与小鼠骨髓瘤细胞融合D ．筛选杂交瘤细胞，并从中选出能产生所需抗体的细胞群，培养后提取单克隆抗体6．在pH ＝l 含+2Ba 离子的溶液中，还能大量存在的离子是A ．-2AlOB ．-ClOC ．-ClD ．-24SO7．物质的量浓度相同的下列溶液中，符合按pH 由小到川匝序排列的是A ．Na 2CO 3 NaHCO 3 NaCl NH 4ClB ．Na 2CO 3 NaHCO 3 NH 4Cl NaClC ．(NH 4)2SO 4 NH 4Cl NaNO 3 Na 2SD ．NH 4Cl (NH 4)2SO 4 Na 2S NaNO 38．已知（l ）)g (O 21)g (H 22+ ＝H 2O （g ） △H 1＝a kJ ·1mol -（2）)g (O )g (H 222+ ＝2H 2O （g ） △H 2＝b kJ ·1mol -（3）)g (O 21)g (H 22+＝H 2O （l ） △H 3＝c kJ ·1mol -（4）)g (O )g (H 222+ ＝2H 2O （l ） △H 4＝d kJ ·1mol -下列关系式中正确的是A ． a ＜c ＜0B ．b ＞d ＞0C ．2a ＝b ＜0D ．2c ＝d ＞0 9．将0.l mol ·1L -醋酸溶液加水稀释，下列说法正确的是A ．溶液中c （H +）和c （-OH ）都减小B ．溶液中c （H +）增大C ．醋酸电离平衡向左移动D ．溶液的pH 增大10．下列叙述正确的是A ．同温同压下，相同体积的物质，它们的物质的量必相等B ．任何条件下，等物质的量的乙烯和一氧化碳所含的分子数必相等C ．1L 一氧化碳气体一定比1L 氧气的质量小D ．等体积、等物质的量浓度的强酸中所含的H +数一定相等11．若1 mol 某气态烃C x H y 完全燃烧，需用3 mol O 2，则A ．x ＝ 2，y ＝2B ．x ＝ 2，y ＝4C ．x ＝ 3，y ＝6D ．2＝3，y ＝812．下列分子中，所有原子不可能．．．共处在同一平面上的是 A ．C 2H 2 B ．CS 2 C ．NH 3 D ．C 6H 613．常温下，下列各组物质不能用一种试剂通过化学反应区别的是A ．MnO 2 CuO FeOB ．(NH 4)2SO 4 K 2SO 4 NH 4ClC ．AgNO 3 KNO 3 Na 2CO 3D ．Na 2CO 3 NaHCO 3 K 2CO314．现有1200个氢原子被激发到量子数为4的能级上，若这些受激氢原子最后都回到基态，则在此过程中发出的光子总数是多少？假定处在量子数为n 的激发态的氢原子跃迁到各较低能级的原子数都是处在该激发态能级上的原子总数的1n 1 。
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2004年高考重庆卷（理工类）数学试题
本试卷分第Ⅰ部分（选择题）和第Ⅱ部分（非选择题）共150分 考试时间120分钟.
第Ⅰ部分（选择题 共60分）
参考公式：
如果事件A 、B 互斥，那幺 P(A+B)=P(A)+P(B)
如果事件A 、B 相互独立，那幺 P(A·B)=P(A)·P(B)
如果事件A 在一次试验中发生的概率是P ，那幺n 次独立重复试验中恰好发
生k 次的概率k n k
k n n P P C k P --=)1()(
一、选择题：本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.
1. 函数)23(log 2
1-=x y 的定义域是（ ）
A ．),1[+∞
B ．),32(+∞
C ． ]1,32[
D ．]1,3
2(
2.设复数12Z i =+, 则22Z Z -= ( )
A –3
B 3
C -3i
D 3i 3.圆222430x y x y +-++=的圆心到直线1x y -=的距离为：（ ） A 2 B 2
2
C 1
D 2
4．不等式2
21
x x +
>+的解集是：（ ） A (1,0)(1,)-+∞ B (,1)(0,1)-∞-
C (1,0)(0,1)-
D (,1)(1,)-∞-+∞
5．sin163sin 223sin 253sin313+= ( )
A 12-
B 12
C 32-
D 3
2
6．若向量a 与b 的夹角为60，||4,(2).(3)72b a b a b =+-=-,则向量a 的模为：
（ ）
A 2
B 4
C 6
D 12 7．一元二次方程2210,(0)ax x a ++=≠有一个正根和一个负根的充分不必要条
件是：（ ）
A 0a <
B 0a >
C 1a <-
D 1a > 8．设P 是60的二面角l αβ--内一点，,PA PB αβ⊥⊥平面平面,A,B 为垂足，
4,2,PA PB ==则AB 的长为：（ ）
A B C A B C A B C A
B C P P P
P
A 23
B 25
C 27
D 42
9． 若数列{}n a 是等差数列，首项120032004200320040,0,.0a a a a a >+><，则使前n
项和0n S >成立的最大自然数n 是：（ ）
A 4005
B 4006
C 4007
D 4008
10．已知双曲线22
221,(0,0)x y a b a b
-=>>的左，右焦点分别为12,F F ,点P 在双曲
线的右支上，且12||4||PF PF =,则此双曲线的离心率e 的最大值为：( )
A 43
B 53
C 2
D 73
11．某校高三年级举行一次演讲赛共有10位同学参赛，其中一班有3位，二班有2位，其它班有5位，若采用抽签的方式确定他们的演讲顺序，则一班有3位同学恰好被排在一起（指演讲序号相连），而二班的2位同学没有被排在一起的概率为：（ ）
A 110
B 120
C 140
D 1
120
12．若三棱锥A-BCD 的侧面ABC 内一动点P 到底面BCD 的面积与到棱AB 的距离相等，则动点P 的轨迹与ABC 组成图形可能是：（ ）
第Ⅱ部分（非选择题 共90分）
二、填空题：本大题共4小题，每小题4分，共16分.把答案填在题中横线上. 13.若在5(1)ax +的展开式中3x 的系数为80-，则_______a =
14．曲线2311
2224
y x y x =-=-与在交点处切线的夹角是______（用幅度数作答）
15．如图P 1是一块半径为1的半圆形纸板，在P 1的左下端剪去一个半径为1
2
的
半圆后得到图形P 2，然后依次剪去一个更小半圆（其直径为前一个被剪掉半
圆的半径）得圆形P 3、P 4、…..P n …,记纸板P n 的面积为n S ，则lim ______n x S →∞
=
16．对任意实数
K ，直线：y kx b =+与椭圆：32cos (02)14sin x y θ
θπθ
⎧=+⎪≤≤⎨=+⎪⎩恰有
一个公共点，则b 取值范围是_______________
三、解答题：本题共6小题，共74分，解答应写出文字说明，证明过程或演算
步骤.
17．（本小题满分12分）
求函数x x x x y 44cos cos sin 32sin -+=的取小正周期和取小值；并写出该函数
在[0,]π上的单调递增区间
18．（本小题满分12分）
设一汽车在前进途中要经过4个路口，汽车在每个路口遇到绿灯的概率为34，遇到红灯（禁止通行）的概率为1
4
假定汽车只在遇到红灯或到达目的地才停止前进，ξ表示停车时已经通过的路口数，求： （1）ξ的概率的分布列及期望E ξ; (2 ) 停车时最多已通过3个路口的概率
P 1 P 2
P 3
P 4
Y 19．（本小题满分12分）
如图，四棱锥P-ABCD 的底面是正方形，
,,//,PA ABCD AE PD EF CD AM EF ⊥⊥=底面
(1) 证明MF 是异面直线AB 与PC 的公垂线；
(2) 若3PA AB =,求直线AC 与平面EAM 所成角的正弦值
20．（本小题满分12分）
设函数()(1)(),(1)f x x x x a a =-->
(1) 求导数/()f x ; 并证明()f x 有两个不同的极值点12,x x ; (2) 若不等式12()()0f x f x +≤成立，求a 的取值范围
21．（本小题满分12分）
设0p >是一常数，过点(2,0)Q p 的直线与抛物线22y px =交于相异两点
A 、
B ，以线段AB 为直经作圆H （H 为圆心）试证抛物线顶点在圆H 的圆
周上；并求圆H 的面积最小时直线AB 的方程
22．（本小题满分14分）
设数列
{}
n a 满足
111
2,,(1,2,3.......)n n n
a a a n a +==+
= (1) 证明21n a n >+对一切正整数n 成立；
令,(1,2,3......)n n a b n n
=
=,判断1n n b b +与的大小，并说明理由
B
C D
A P
M F
E
x y
O Q(2p,0)
H B
A。