广东财经大学807-高等代数2020年考研真题

欢迎报考广东财经大学硕士研究生，祝你考试成功！（第 1 页共 1 页）
广东财经大学硕士研究生入学考试试卷
考试年度：2020年 考试科目代码及名称：611-法学综合一(自命题)适用专业：030101 法学理论、030103 宪法学与行政法学、030104 刑法学、030105 民商法学、030106 诉讼法学、030107 经济法学、030109 国际法学
［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］
一、名词解释（6题，每题5分，共30分）
1.法律体系
2.宪法解释
3.法律责任
4.单一制
5.请求权
6.立法
二、简答题（6题，每题10分，共60分）
1.特别行政区的政权机关具有怎样的特点？
2.法律行为的客观要件和主观要件包括哪些？
3.法定免责条件包括哪些？
4.平等权与合理差别的关系如何？
5.法的效力层次规则有哪些？
6.守法主体可以分为哪几类？
三、论述题（3题，每题20分，共60分）
1.结合宪法修改的进程，说明现行宪法是一部符合我国国情的中国特色社会主义宪法？
2.论述法治和法治国家的联系。

3.结合宪法条款，论述什么是基本权利的限制？什么是基本权利限制的限制？
1。

考研真题：广东财经大学2020年[英语水平]考试真题一、Gap Filling 选词填空（从列表的单词中选择合适的词完成段落/非Cloze 选择填空）（30题，每题1分，共30分）Directions: Fill in the gaps numbered 1 to 30 with appropriate words from the word list. There are more words than needed and each word can be used only ONCE . Write down the letters (A to T) representing the words after the numbers 1 to 30 for each passage on the Answer Sheet.Passage OneThe term “globalization ” has been used to 1describe the profound nature of changes affecting economies, cultures and societies worldwide from the late twentieth century 2 . Anthony Giddens has 3 globalization as “the intensification of worldwide social relations which link 4localities in such a way that local happenings are 5 by events occurring many miles away and vice versa”.A central feature of the new, global economy which has 6 in the context of intensified relations is that it is 7 . That is to say, the productivity and competitiveness of firms in the new economic order depend on their ability to create, 8and apply knowledge-based information. Alongside the centrality of information and knowledge, a further 9feature is the nature of economic organization which has emerged in late modernity. The central activities of production, consumption and 10 , as well as their components (capital, raw materials, management, information, technology, 11 ), are organized on a global 12 , either 13or through a network of connections between different economic14 . The importance of the information technology revolution from the 1970s onwards was that it provided the 15 or the material basis for this new economy.Passage TwoFreud’s The Interpretation of Dreams was published in 1900, a remarkable year that was 16to change the world’s thinking profoundly. Its 17reception was saddening – only 351 copies were 18during the first ten years. Later, its value was 19realized by scholars, and the book went eight 20before the death of its author. Now, more than a hundred years has already passed, and it has been 21into more than a dozen languages. Its influence is far 22 : it has profoundly changed the landscape not only in 23 , but also in literature, art, aesthetics, anthropology, philosophy, education, sociology and other 24 . It is reckoned as one of the three 25books together with Darwin’s Origins of the Species and Copernicus’ De Revolutionibus Orbium Coelestium.Before Freud, dreams were not seriously considered. It was 26as superficial, insignificant and 27 . Freud worked as a 28for many years, dealing with hysteria. He collected many cases and began to think seriously of the 29 between dreams and the psychological condition of patients. In this book, he 30that dreams were the fulfillment of human wishes.二、Proofreading and error correction 改错题(15题，每题2分，共30分) Directions: The following passage contains 15 errors which are indicated by a number after the line. In each indicated line there is only ONE error, and for each error, you just need to change ONE word to make it correct. Write down the correct word on the Answer Sheet.Around 1990 a number of architect around the world began developing new architectural solutions to integrate tradition for new social demands and technological possibilities. The struggle between old and new initiate the birth of a new architecture style – the International Style. The international style stresses minimalism and functionalism, rejects all essential decorative elements and is ignorant to regional characteristics. The ideals of the style are also commonly sum up in four slogans: ornament is a crime, truth to materials, form follows function, and “machines for living.”This could be sound explained in light of the Western industrialization. With their rapid development, society was also changing and evolved rapidly. There was a great demand for constructing better and affordable buildings for factories, industries, commercial complexes, and residential purposes. Thus, the overdoing ornamentation of the buildings of the previous eras, that demanded high level of craftsmanship and was time-consuming, gave way in the simple designs.The international style first blossomed in western Europe, and than it began to flourish in the United States, and matured after World War II. Its became the dominant approach in the US for much decades.1.__________2.__________3.__________4.__________5.__________6.__________7.__________8.__________9.__________ 10.__________ 11.__________ 12.__________ 13.__________ 14.__________ 15.__________三、Sentence Completion 完成句子（根据提供的词，用合适的词的形式完成句子）（15题，每题2分，共30分）Directions: Fill in the gaps with the proper forms of the given words. Write down your answers on the Answer Sheet.1. Benjamin Franklin, an American who was at home wherever he went, gained wide __________ in France and also became well known in England. (popular)2. Although women have been __________ against unjustly, they had been patient until recently. (discrimination)3. As __________ in high places became widespread, the Roman Empire was considerably weakened. (corrupt)4. In response to the self-study problems, this college has evolved programs to meet the ever-__________ needs of its students. (expansion)5. Both animals and humans have been found to cope better with painful or __________ stimuli when they feel they can exercise some degree of control rather than being passive and helpless. (threat)6. Whereas some jobs may make heavier psychological demands than others, certain sorts of people, __________ of their occupation, seem to make heavy psychological demands on themselves – and , as a result, run a greater risk of heart disease. (regard)7. Friendships must be mutually productive. They must not be __________ to either person. (destroy)8. While global warming is __________ an important factor, it does not fully account for these extreme and unusual weather patterns. (doubt)9. Touch may communicate positive emotions mainly between intimates or others who have a _________ close relationship. (relation)10. Modelling is a better way to __________ children than punishment. (social)11. Negative events are more __________ to be reported than positive ones. (like)12. Reforms have brought about rapid __________ growth in China in recent years. (economy)13. Knowledge often results only after __________ investigation. (persist)14. There are three kinds of book owners. The first has all the standard sets and best-sellers – unread, __________. (touch)15. Real beauty is a ___________ of external and internal beauty. (combine)四、Reading Comprehension 阅读理解（30题，每题2分，共60分）Directions: Read the following passages and choose the best answers for the questions numbered 1 to 30. Write down the letter of your choice for each question on the Answer Sheet.Passage OneCate Siu is from Hong Kong, but she's a fan of Korean television shows and she keeps up with gossip about Korean celebrities on the Internet. Her favorite is a beautiful soap-opera star, Song Hye Kyo, whose bee-stung lips and feminine features she admires."Korean actresses have prominent and elegant noses," says Ms. Siu, a 25-year-old aspiring actress. "They look so pretty."So, when Ms. Siu decided she'd have a better shot at breaking into the entertainment business after improving her looks with a surgical makeover, she knew where she wanted to go. In April, she flew more than 1,000 miles to a clinic in Seoul for operations to raise the bridge of her nose, make her eyes appear larger, and sharpen her chin.Across Asia, Korea is cool. From fashion to music to film, the country of 48 million people is redefining style. And as notions of Korean beauty become popularized by the country's exploding cultural exports, women from around the region – andsome men, too – are flocking to Seoul to have their faces remodeled."A lot of my patients bring a picture of a Korean star from a magazine and say, 'I want to look like that,'" says Chung Jong Pil, a surgeon who runs the Cinderella Plastic Surgery Clinic in a fashionable Seoul neighborhood.Dr. Chung estimates that just under ten percent of his customers come from overseas; the rest are locals. Most of the foreign visitors come from China, he says. Jung Dong Hak, a surgeon who specializes in rhinoplasty, or nose jobs, at another Seoul clinic, says roughly 15 percent of his patients are foreign. That number has been rising in the past few years. "The increase has been very big since the Korean wave started," he says.1. Where is the article most probably published?A. in an academic journalB. in a science magazineC. in a bookD. in a newspaper2. What kind of lips does Cate Siu like?A. thickB. thinC. smallD. pink3. What kind of nose does Cate Siu want to have?A. tiny and roundedB. large and noticeableC. dark and thinD. flat and delicate4. The name of Chung Jong Pil's clinic derives from _________.A. a novelB. a fairytaleC. a poemD. an essay5. From Dr. Jung we can know that __________.A. most of his foreign customers are the ChineseB. more foreigners than locals take plastic surgery in KoreaC. more and more foreigners come to Korea for plastic surgeryD. most of his customers are localsPassage TwoFrom early adulthood to middle adulthood, people typically experience a strengthening sense of identity, confidence, and self-esteem. In later life, challenges arise. Income shrinks, work is often taken away, the body deteriorates, recall fades, energy wanes, family members and friends die or move away, and the great enemy, death, looms ever closer. It is not surprising that many presume the over-65 years to be the worst of times. But, they are not, as Ronald Inglehart discovered when he amassed interviewed conducted during the 1980s with representative samples of nearly 170,000 people from 16 nations. Older people report as much happiness and satisfaction with life as younger people do.If anything, positive feelings grow after midlife and negative feelings subside. Older adults increasingly use words that convey positive emotions. They attend less and less to negative information. For example, they are slower than younger adults to perceive negative faces. Their amygdale, a neural processing center for emotions, shows diminishing activity in response to negative events while maintaining its responsiveness to positive events. Moreover, the bad feelings we associate with negative events fade faster than do the good feelings we associate positive events. This contributes to most older people’s sense that life, on balance, has been mostly good. Given that growing older is an outcome of living (an outcome nearly all of us prefer to early dying), the positivity of later life is comforting.6. It is generally believed that __________.A. older adults have a stronger sense of identityB. older adults have fewer friendsC. there are many problems associated with older adulthoodD. there is a positive side of older adulthood7. It can be inferred from the passage that Ronald Inglehart is __________.A. a scholarB. an interviewerC. a scientistD. a reporter8. The level of happiness and satisfaction in old age __________.A. is about the same as younger people’sB. is obviously different from younger people’sC. is significantly lower than younger people’sD. is significantly higher than younger people’s9. The brain of older people tends to __________.A. notice negative events around them rather than positive onesB. ignore negative events and only notice positive onesC. more quickly forget the negative things that happen and remember the positive onesD. more quickly forget the positive things that happen and remember the negative ones10. The research results mentioned in the text can contribute to a more __________ attitude toward older adulthood.A. pessimisticB. optimisticC. dubiousD. uncertainPassage ThreeToday, in the hospital, surgeons and physicians have equal status. The studies of internal medicine and surgery seem supplementary to each other and are therefore treated equally. We may easily take it for granted that it was the same in the past. In fact, historically speaking, internal medicine and surgery had quite different histories, reputations and professions.In the middle ages, in order to become a physician, one must study in a universityfirst in liberal arts for five years, then in medicine for four years. After the long study was finished, he had to pass strict exams to graduate. He then had to obtain a license in order to begin his practice. In other words, physicians should learn from the books. A true doctor was believed to treat patients with remedies, i.e., medicine, instead of giving physical intervention. Physicians were held in high regard. Surgeons were not ranked as high as physicians. Their profession was viewed as a “trade” (i.e. an occupation, especially one requiring skilled labor; craft), not as an “art”. Clerics used to help ill people, which was a natural calling of the Christian doctrine. But their help usually came in the form of religious prayer, and care for patients. They were forbidden to perform surgery because they were not to “spill blood”. Medical doctors, or physicians, looked down upon the profession as a “trade” beneath them and were unwilling to perform surgeries. The most suitable person for the performance of surgery was the barber, who often dealt with small cuts when they were giving a close shave. They were prepared with bandage and styptics (drugs used to stop bleeding). So when someone had an injury, or an ailment that required cutting, the barber was the most skilled person – he was a tradesman with the necessary skills. Thus the profession was often called the barber surgeon.11. It is a popular illusion that __________.A. surgeons and physician have equal statusB. surgeons and physician enjoyed equal statusC. the studies of internal medicine and surgery are treated equallyD. internal medicine and surgery had different reputations12. Which of the following statements about a physician in the middle ages is FALSE?A. A physician must study 9 years in a university.B. It was hard to become a physician.C. A physician was highly reputed.D. A physician was forbidden to operate on patients.13. What can be known about “clerics” in the past from the passage?A. They could perform surgery.B. It was their mission to help ill people.C. They helped physicians to cure diseases.D. They spilled blood when necessary.14. What can be known about barbers in the past from the passage?A. They were not held in high regard.B. They were respectable members of the society.C. They tried different types of work.D. They tried to become physicians.15. What might be discussed in the following paragraphs?A. The earnings of physicians and surgeons.B. The different lifestyles of physicians and surgeons.C. The different status of physicians and surgeons.D. The different contributions of physicians and surgeons.Passage FourA brush with death can actually improve a person’s outlook on life. That, at least, was one of the major findings of a study of some 200 people who come close to dying. Some had come through heart attack; some had fallen, come close to drowning; or survived a terrible car wreck, yet despite the variety of circumstances, they reported strikingly similar reactions to their experiences.Perhaps most surprisingly, many said they were less frightened of death now than they were before. Like most people, before their near-death incidents many had thought death would be painful, the ultimate horror—but they didn’t find it was.Surviving a nearly fatal experience also gave many people a sense of invulnerability （不会受伤害）that made them feel special and even religious. Several believed they had been saved because they were to fulfill some special mission in the remainder of their lives.Perhaps not so surprisingly, these survivors also reported an increased zest for life and a determination to enjoy life more.A few of the survivors did report negative reactions to their experience. A dozen said they felt more vulnerable, and some even felt a sense of helplessness and a loss of control over their lives. Some had become phobic about activities associated with the accident; for example, several said they could no longer swim for fear of drowning.Yet most of those interviewees said they came away with a strong sense of renewal or rebirth. In studying their reactions researchers have concluded that these people have come to understand the relationship of life and death better and more intimately than most of us, that they have come to understand how life is actually defined by death. Life is given meaning by the fact that it will end someday.16.What have you learned about the effects of near-death experiences on the survivors’ life?A. They differ due to the variety of circumstances.B. They vary greatly from person to person.C. They are mostly positive in terms of their outlook on life.D. They are neither positive nor negative.17."Some had become phobic about activities..."( Line 3, Para. 5) How did they feel exactly?A. very clumsyB. very casualC. very curiousD. very fearful18.Which of the titles below best expresses the idea of this passage?A. How to Improve a Person’s Outlook on Life.B. The Effects of Near-Death Experiences.C. Is Death Really Horrible?D. Near-Death Accidents and their Survivors.19.The positive effect of near-death experience was that ______________.A. some people loved life better because they realized its new meaningB. some people got a sense of vulnerability and became religiousC. some people were no longer afraid of death just because they proved to be religiousD. some people wanted to seek extreme happiness because they knew life was too limited20.Which effect of the near-death experience was the one that people had least expected?A. Some people felt more vulnerable.B. Some people did not worry too much about death any more.C. Some people paid more attention to the value of life.D. Some people tended to be too pessimistic about death.Passage FiveThe notion that the great apes, such as chimpanzees and gorillas, can imitate one another might seem unsurprising to anyone who has watched these animals playing at the zoo. But in scientific circles, the question of whether apes really do "ape" has become controversial.Consider a young chimpanzee watching his mother crack open a cola nut, as has been observed in the Tai Forest of Africa. In most cases, the youth will eventually take up the practice himself. How does he learn this? Is it because he copies it from his mother, or does the skill originate solely from trial and error? If the young animal copies adult behavior, then chimpanzees must have the ability to develop culturaltraits, i.e. knowledge or skills passed down from generation to generation, instead of by genetic inheritance. However, if the young learns how to crack the nut exclusively by trial and error, then chimpanzees must, in a sense, reinvent the method each time they deal with a nut, and hence, no real cumulative culture can ever develop.The clearest way to establish how chimpanzees learn is through laboratory experiments. A team of scientists at Goldsmith's College, University of London, used artificial fruits to determine whether chimpanzees imitate or not. In a typical experiment, one group of chimpanzees watched a complex technique for opening a fruit, while a second group observed a very different method. Then the researchers recorded the extent to which the chimpanzees had been influenced by the method they observed. They also conducted similar experiments with three-year-old children as subjects. The results demonstrate that six-year-old chimpanzees show imitative behavior markedly like that seen in the children, although the preciseness of their copying tends to be poorer. In another experiment, chimpanzees copied an entire sequence of actions they had witnessed, but did so only after trying some alternatives. This suggests that they tended to imitate what they had observed others doing at the expense of their own trial-and-error discoveries.In the researchers' view, these findings indicate that apes do ape and that this ability forms one strand in cultural transmission. In other words, learning from elders is crucial to growing up as a competent wild chimpanzee.21. The word "ape" (Line 3, Para. 1) in the quotation marks probably means ______.A. play at the zooB. crack a nutC. imitateD. transmit22. If a chimpanzee cracks a nut solely by trial and error, it suggests that ___________.A. the skill is genetically inheritedB. the skill is learned from othersC. the skill is unique to humansD. the skill is unique to wild animals23. Results from the research mentioned in Para. 3 show that ___________.A. chimpanzees have little ability to imitate although they can open fruits skillfullyB. chimpanzees do imitate although their copying is less faithful than that of childrenC. chimpanzees can open artificial fruits only after observing how others do itD. chimpanzees imitate their elders in a manner different from how children do24. It can be concluded from the passage that ___________.A. chimpanzees in the laboratory are better imitators than those in the wildB. chimpanzees in the laboratory crack nuts differently from those in the wildC. cultural transmission happens at the expense of individual discoveriesD. cultural transmission exists both among wild chimpanzees and in human society25. The main purpose of the passage is ___________.A. to answer a scientific question by providing research findingsB. to explain the procedure of food gathering used by wild animalsC. to compare the differences between animal culture and human cultureD. to illustrate the methods of analyzing young animals' behaviorPassage SixMy friend Peter saunters over with his long-legged, deliberately slow gait, and gives me a pat on the cheek and a squeeze on the arm, which he administers as if he were bestowing a favor. He knows he’s a prize item in this room – a robust, single, intelligent male – and after making some desultory(散漫的) remarks, he proceeds to look around lazily, like a lion surveying his territory in the knowledge that he’s masterof it. Lydia comes up to us, as usual humming with effusive excitement, her eyes shining as if there were no tomorrow. “Peter!” she exclaims, “you’re just the person I wanted to see! I had a phone call today from a TV station in Germany, and they want to do a show on which I think you should be a consultant. Oh, it would be so wonderful if it worked out! Maybe we could go to Berlin together...” The hum continues, a kind of bird song meant to attract males. But she’s making too much effort, and anyway, it’s the wrong song. Peter looks over her head, puts his hand on her shoulder, and says, “Ah, excuse me, I see somebody I know over there...”26. From the passage we can know Peter __________.A. has long legsB. pretends to be friendly to meC. has won a prizeD. is a playboy27. It can be inferred from the passage that __________.A. there are few men in the roomB. there are many unmarried women in the roomC. most of the people in the room are womenD. single men are hard to find28. From the passage we can know Lydia __________.A. is good at singingB. is good at imitating birdsC. is hard-workingD. is too enthusiastic29. Peter’s response to Lydia indicates that __________.A. he has no interest in herB. he has no interest in the TV showC. he doesn’t believe what she tells himD. he doesn’t think he can be a consultant30. What is implied by the author in the passage?A. She enjoys the party whole-heartedly.B. She doesn’t care what is going on.C. She feels detached from her surroundings.D. She detests the people in the room.。

欢迎报考广东财经大学硕士研究生，祝你考试成功！（第 1 页共 3 页）广东财经大学硕士研究生入学考试试卷考试年度：2020年 考试科目代码及名称：806-管理学原理(自命题)适用专业：120201会计学、120202 企业管理、120203 旅游管理、120204 技术经济及管理、1202Z1企业文化与伦理［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］一、问题论述（3题，每题20分，共60分）1. 什么是价值链？成功的价值链管理有哪些要求？（20分）2. 什么是控制？控制在管理中有何作用？（20分）3. 共享的价值观有何作用?如何建立共享价值观? （20分）二、观点辨析（1题，共30分）1.面对飞速变化的管理环境，许多企业的管理者都觉得计划赶不上变化。

因此，他们认为制定长期计划是无用的。

你同意这个观点吗？三、案例分析（2题，每题30分，共60分）案例1 海底捞的员工激励实践四川海底捞餐饮股份有限公司成立于1994年，是一家以经营川味火锅为主，融汇各地火锅特色于一体的大型跨省直营餐饮民营企业。

2018年9月26日，海底捞(新上市编号：06862)正式登陆香港资本市场。

海底捞虽然是一家火锅店，但它的核心业务却不是餐饮，而是服务。

在将员工的主观能动性发挥到极致的情况下，“海底捞特色”日益丰富。

海底捞的员工激励措施与效果主要概括为以下几点：1）良好的晋升通道。

海底捞为员工设计好在本企业的职业发展路径，并清晰地向他们表明该发展途径及待遇。

每位员工入职前都会得到这样的承诺。

“海底捞现有的管理人员全部是从服务员、传菜员等最基层的岗位做起，公司会为每一位员工提供公平公正的发展空间，如果你诚实与勤奋，并且相信：用自己的双手可以改变命运。

那么，海底捞将成就你的未来！”该措施满足了职工对自我实现的需要，激励了员工对更好未来的追求。

2）独特的考核制度。

海底捞对管理人员的考核非常严格，除了业务方面的内容之外，还有创新、员工激情、顾客满意度、后备干部的培养等，每项内容都必须达到规定的标准。

1 广东财经大学硕士研究生入学考试试卷
考试年度：2020年 考试科目代码及名称：601-数学分析(自命题) 适用专业：071400 统计学
［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］
一、计算题（6题，每题10分，共60分）
1.求极限!lim n n n n
→∞。

2.求极限lim arctan 41x x x x π→∞⎛⎫- ⎪+⎝⎭。

3.求极限21cos 20
lim t x x e dt x -→⎰。

4.
判断级数()1n x ∞=-∞<<+∞的一致收敛性。

5.设,x y z xyf y x ⎛⎫= ⎪⎝⎭，求 z x ∂∂和z
y ∂∂。

6.设()f x 是(),-∞+∞上的连续函数，且满足：
0()1cos x
tf x t dt x -=-⎰，求()f x 。

二、应用题（4题，每题15分，共60分）
7.计算由抛物线21y x =-+与2y x x =-所围成图形的面积。

8. 应用定积分的定义计算积分10x a dx ⎰。

9. 在底为a 高为h 的三角形中作内接矩形，矩形的一条边与三角形的底边重合，求此矩形的最大面积。

10.求sin ,0y x x π= ≤≤，绕x 轴旋转所成的曲面面积。

三、证明题（2题，每题15分，共30分）
11.证明方程sin (0,0)x a x b a b =+ >>至少有一个不超过a b +的正根。

12.若()f x 在区间X 中具有有界的导数，即|()|f x M '≤，试证()f x 在X 上一致连续。

2018一2020年广东财经大学金融学综合考研真题2018年广东财经大学金融学综合考研真题一、名词解释（6题，每题5分，共30分）1.国际收支2.J曲线效应3.相机抉择4.货币制度5.买入期权6.基础货币二、判断题（10题，每题2分，共20分）1.经济增长与稳定物价是正相关关系（）。

2.复本位制是一种稳定的货币制度（）。

3.现金漏损的存在使派生存款创造倍数降低（）。

4.弗里德曼认为货币的流通速度稳定可测（）。

5.通货膨胀有利于固定收入者（）。

6.欧洲货币市场从事非居民的境外货币借贷，它受到的管制较少（）。

7.在直接标价法下，当本国货币数量增加时，称本国汇率上浮或贬值（）。

8.一般地说，利率较高的货币其远期汇率会呈现贴水（）。

9.货币贬值不一定能够改变一国的贸易收支（）。

10.资本流入是把外国货币换成本国货币（）。

三、简答题（5题，每题8分，共40分）1.简述货币乘数以及影响货币乘数的主要因素。

2.简述凯恩斯主义对凯恩斯货币需求理论的主要贡献。

3.简述影响一国汇率波动的主要因素。

4.简述马歇尔-勒纳条件。

5.简述布雷顿森林体系的根本缺陷。

四、计算题（2题，每题10分，共20分）1.如果伦敦市场年利率为3.5%，纽约市场年利率为1.5%，外汇市场英镑对美元即期汇率为1.5430/40，1年期远期差价为40/30。

试计算：（1）远期汇率是多少？（2）以2，000，000美元进行抵补套利的利润是多少？2.某股份有限公司发行三年期公司债券，面值为1000元，按当时市场利率定为债券的年利率为8%，规定每年付息一次为80元，１年后市场利率降为6%，问1年后该债券值多少？五、论述题（2题，每题20分，共40分）1.公司在应对项目不确定性时，常用的风险评估方法有敏感性分析情景分析和保本点分析，试比较三者的异同。

2.为什么说有效市场假说是解释企业融资决策的一个前提？2020年广东财经大学金融学综合考研真题一、名词解释(6题，每题5分，共30分)1.金融市场2.流动性3.一价定律4.贴现现金流量5.经营杠杆6.股东价值最大化二、判断题(10题，每题2分，共20分)1.财政和货币政策属于需求转换型政策。

《高等代数》考研真题详解1．设Q是有理数域，则P＝{α＋βi|α，β∈Q}也是数域，其中．（U ）[南京大学研]【答案】对查看答案【解析】首先0，1∈P，故P非空；其次令a＝α1＋β1i，b＝α2＋β2i其中α1，α2，β1，β2为有理数，故a±b＝（α1＋β1i）±（α2＋β2i）＝（α1±α2）＋（β1±β2）i∈Pab＝（α1＋β1i）（α2＋β2i）＝（α1α2－β1β2）＋（α1β2＋α2β1）i∈P又令c＝α3＋β3i，d＝α4＋β4i，其中α3，α4，β3，β4为有理数且d≠0，即α4≠0，β4≠0，有综上所述的P为数域．2．设f（x）是数域P上的多项式，a∈P，如果a是f（x）的三阶导数f‴（x）的k重根（k≥1）并且f（a）＝0，则a是f（x）的k＋3重根．（）[南京大学研]【答案】错查看答案【解析】反例是f（x）＝（x－a）k＋3＋（x－a）2，这里f（a）＝0，并且f ‴（x）＝（k＋3）（k＋2）（k＋1）（x－a）k满足a是f（x）的三阶导数f‴（x）的k重根（k≥1）．3．设f（x）＝x4＋4x－3，则f（x）在有理数域上不可约．（）[南京大学研]【答案】对查看答案【解析】令x＝y＋1，则f（y）＝y4＋4y3＋6y2＋8y＋2，故由艾森斯坦因判别法知，它在有理数域上不可约．二、计算题1．f（x）＝x3＋6x2＋3px＋8，试确定p的值，使f（x）有重根，并求其根．[清华大学研]解：f′（x）＝3（x2＋4x＋p）．且（f（x），f′（x））≠1，则（1）当p＝4时，有（f（x），f′（x））＝x2＋4x＋4所以x＋2是f（x）的三种因式，即f（x）（x＋2）3，这时f（x）的三个根为－2，－2，－2．（2）若p≠4，则继续辗转相除，即当p＝－5时，有（f（x），f′（x））＝x－1即x－1是f（x）的二重因式，再用（x－1）2除f（x）得商式x＋8．故f（x）＝x3＋bx2－15x＋8＝（x－1）2（x＋8）这时f（x）的三个根为1，1，－8．2．假设f1（x）与f2（x）为次数不超过3的首项系数为1的互异多项式，且x4＋x2＋1整除f1（x3）＋x4f2（x3），试求f1（x）与f2（x）的最大公因式．［上海交通大学研］解：设6次单位根分别为由于x6－1＝（x2）3－1＝（x2－1）（x4＋x2＋1），所以ε1，ε2，ε4，ε5是x4＋x2＋1的4个根.由于ε13＝ε53＝－1，且x4＋x2＋1∣f1（x3）＋x4f2（x3），所以，分别将ε1，ε5代入f1（x3）＋x4f2（x3）可得从而f1（－1）＝f2（－1）＝0即x＋1是f1（x）与f2（x）的一个公因式．同理，将ε2，ε4代入f1（x3）＋x4f2（x3）可得f1（1）＝f2（1）＝0，即x －1是f1（x）与f2（x）的一个公因式．所以（x－1）（x＋1）是f1（x）与f2（x）的一个公因式．又因为f1（x），f2（x）为次数不超过3的首项系数为1的互异多项式，所以（f（x），g（x））＝x2－1名校考研真题第6章线性空间一、选择题1．下面哪一种变换是线性变换（）．[西北工业大学研]A．B．C．【答案】C查看答案【解析】不一定是线性变换，比如则也不是线性变换，比如给而不是唯一的．2．在n维向量空间取出两个向量组，它们的值（）．[西北工业大学研] A．必相等B．可能相等亦可能不相等C．不相等【答案】B查看答案【解析】比如在中选三个向量组(I)：0(Ⅱ)(Ⅲ)．若选（I）（II），秩秩（II），从而否定A，若选（Ⅱ）（Ⅲ），秩（Ⅲ）＝秩（Ⅱ），从而否定C，故选B．二、填空题1．若则V对于通常的加法和数乘，在复数域C上是______维的，而在实数域R上是______维的．[中国人民大学研]【答案】2；4．查看答案【解析】在复数域上令；则是线性无关的．则此即证可由线性表出．在实数域上，令若，其中，则此即在R上线性关．可由线性表出，所以在实数域R上，有三、分析计算题1．设V是复数域上n维线性空间，V1和V2各为V的r1维和r2维子空间，试求之维数的一切可能值．[南京大学研]解：取的一组基，再取的一组基则＝秩。

广东商学院硕士研究生入学考试试卷考试年度：2012年考试科目代码及名称：805-管理信息系统适用专业：087100 管理科学与工程［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］一、名词解释（6题，每题5分，共30分）1、信息系统2、数据字典3、企业过程4、OOA（Object-Oriented Design）方法5、JSD （Jackson System Development）6、三层体系结构二、判断说明（8题，每题5分，共40分）1、管理信息系统只是一个技术系统2、在企业中一把手很重要，一把手换了人对企业管理信息系统建设就可能有影响。

3、某制造企业实施电子数据交换战略规划以后，对其供应商将产生影响。

4、开发数据处理系统时常常采用结构化系统开发方法5、开发信息系统之前有时可不进行可行性分析6、管理信息系统的开发与用户关系不大7、知识管理和信息管理都是对数据的管理8、原型法适用于大型管理系统的开发三、设计和分析（2题，每题20分，共40分）1、分析下列企业的活动，给出完成这些任务的相应的信息系统的名称：（1）订单处理；（2）抽验产品；（3）出入库管理；（4）为新开商店选址；（5）查询竞争对手的信息。

2四、案例研究题（2题，每题20分，共40分）1、有一小型自选商场，它的任务是进货、销货和库管理。

其数据库的实体有供货商、商品、库存、进货记录、用户和购买记录。

试画出它的E—R模型。

2、某工厂的成品管理业务过程如下：成品库保管员按车间送来的入库单登记库存台帐。

发货时，发货员根据销售科送来的发货通知单将成品出库，并发货，同时填写三份出库单，其中一份交给成品保管员，成品库保管员按此出库单登记库存台帐。

出库单的另外两联分别送销售科和会计科。

试按以上业务流程画出业务流程图。

广东商学院硕士研究生入学考试试卷考试年度：2013年考试科目代码及名称：805-管理信息系统适用专业：087100-管理科学与工程［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］一、名词解释（6题，每题5分，共30分）1、信息系统2、关系数据库3、系统开发生命周期4、原型法开发方法5、计算机辅助开发方法（CASE）6、决策支持系统（DSS）二、判断说明（8题，每题5分，共40分）1、管理信息系统只是一个技术系统，与业务人员无关2、开发管理信息系统之前有时可不进行可行性分析3、知识管理和信息管理都是对数据的管理4、原型法适用于大型管理信息系统的开发5、结构化的生命周期法适用于数据处理系统的开发6、开发管理信息系统时只能采用原型法或结构化的生命周期法之一，二者不能交叉使用7、数据字典在管理信息系统开发中没有太大作用8、系统编程是管理信息系统建设中工作任务最为繁重的阶段三、设计和分析（2题，每题20分，共40分）1、设要建立一个企业数据库，E-R图及相关的描述如下：（1）企业各部门有许多职员，但一个职员仅属于一个部门；（2）每个职员可在多项工程中承担工作或负责管理，每项工程可有多个职员做工，但只有一个负责管理者。

广东财经大学硕士研究生入学考试试卷考试年度：2020年 考试科目代码及名称：805-管理信息系统(自命题)适用专业：120100 管理科学与工程［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］（1）名词解释（6题，每题5分，共30分）1）企业系统2）区块链3）信息管理4）系统集成5）ASCII码6）E-R方法（2）简答题（8题，每题5分，共40分）1）管理信息系统的性质如何？2）管理和其他学科在性质上的区别是什么？3）管理信息系统的子系统之间是如何相互联系的？4）管理信息系统与计算机应用系统有什么不同？5）信息有哪些性质和物质的性质不同？6）如何才能正确的实现信息的价值？7）计算机中各种类型的数据是如何表示的？8）数据库管理系统与数据管理员在管理数据中起什么作用？（3）论述题（2题，每题20分，共40分）1）根据你自己对管理的理解，构思出一幅管理的概念构架，论述“论管理”或“管理论”。

2）论述信息系统集成的分类方式？每种方式的优点和缺点？当前系统集成分类还存在什么问题？（4）案例分析题（2题，每题20分，共40分）1）选择你熟悉的信息系统战略规划方法研究你所了解的某一企业的MIS的战略规划。

2）在信息社会，我们应当清楚什么是道德的、合乎伦理的和合法的行为。

作为企业高层领导者，在企业中应注重建设信息道德文化。

信息道德问题远不止侵犯版权等问题，因为计算机是强有力的社会工具，它可以帮助社会，也可以损害社会，这完全取决于如何使用它。

结合你经常使用的社交信息系统软件发展过程中存在的问题分析发展信息系统为什么要建设信息道德文化？。

广东财经大学硕士研究生入学考试试卷
考试年度：2020年考试科目代码及名称：801-经济学基础(自命题)适用专业：020100理论经济学、020201国民经济学、020202区域经济学、020203财政学、020204金融学、020205产业经济学、020206国际贸易学、020209 数量经济学、027000统计学
［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］（1）名词解释（6题，每题5分，共30分）
1. “经济人”的假设
2. 消费者均衡
3. 边际报酬递减规律
4.洛伦兹曲线
5.经济周期
6.流动偏好陷阱
（2）简答题（6题，每题10分，共60分）
1. 简述博弈论的基本内容。

2. 简述竞争性市场的效率及其局限性。

3.分析信息不对称对市场可能产生的影响。

4. 简述宏观经济政策的目标。

5. 根据总需求和总供给模型，分析石油价格的上涨对一国经济的短期和长期的影响。

6. 为什么在浮动汇率和资本完全流动的情况下，扩张性财政政策将对净出口有挤出效应？
（3）论述题（2题，每题30分，共60分）
1.生态环境问题已成为制约中国经济可持续发展的重大问题，试利用经济学原理分析和比较下列解决环境污染的方法：（1）关闭造成污染的企业；（2）制定排污标准并对超标企业实施罚款；（3）按照污染排放量收费。

2. 阐述内生增长理论的主要内容，并论述其现实意义。

1。

广东财经大学硕士研究生入学考试试卷考试年度：2020年考试科目代码及名称：431-金融学综合(自命题)适用专业：025100 金融硕士［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］一、名词解释（6题，每题5分，共30分）1.金融市场2.流动性3.一价定律4.贴现现金流量5.经营杠杆6.股东价值最大化二、判断题（10题，每题2分，共20分）1.财政和货币政策属于需求转换型政策。

（）2.欧洲货币市场的资金来源最初是石油美元。

（）3.固定汇率制度下，外汇储备和本国货币供应量的变化方向相同。

（）4.货币市场和资本市场的划分是以资金的用途为标准的。

（）5.资金盈余部门的一部分资金通过银行等金融中介机构流向资金短缺部门，称为直接金融转化机制。

（）6.有违约风险的公司债券风险溢价必须为负，违约风险越大，风险溢价越低。

（）7.凯恩斯强调了利率对交易性货币需求的影响。

（）8.弗里德曼认为货币的流通速度稳定可测。

（）9.中央银行具有发行的银行、银行的银行和政府的银行等三大职能。

（）10.通货膨胀有利于固定收入者而不利于可变收入者。

（）三、简答题（5题，每题8分，共40分）1.简述资产证券化的作用。

2.票据市场具有哪些作用？3.简述特里芬难题的基本内容。

4.简述商业银行超额准备金率的影响因素。

5.公司金融中为什么要进行敏感性分析和场景分析？试分析两种分析法的区别。

四、计算题（2题，每题10分，共20分）1.某人刚大学毕业，打算在5年后买一套70平方米的房子，目前房价是3万/平方米，并预计房价将每年以10%的幅度上涨。

买房要求支付3成首付，市场利率一直保持为6%，请问该人每年年初需要存多少钱，才能在第5年末存够首付所需资金？2.A公司发展很快。

股利预期在接下来的3年里将以24%的速度增长，之后将以6%的速度稳定增长。

如果必要报酬率是11%，且公司刚刚支付的股利为每股1.90美元，那么股票现在的价格为多少？五、论述题（2题，每题20分，共40分）1.试联系实际比较一般性货币政策工具。

广东财经大学硕士研究生入学考试试卷考试年度：2020年 考试科目代码及名称：807-高等代数(自命题) 适用专业：071400 统计学［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］一、填空题（10题，每题3分，共30分）1．设)()(),(),(),(x P x v x u x g x f ∈，若5)()()()(=+x g x v x f x u ，则=))(),((x v x u ； 2．设n 阶方阵A ，B 均可逆，则=-1)(AB ；3．xxx x xx f 111123111212)(-=中，3x 的系数是 ；4．设n n ⨯矩阵)(ij a A =，则in kn i k i k A a A a A a +++Λ2211＝ ；5．若向量组s ααα,,,21Λ可经向量组t βββ,,,21Λ线性表出，且s ααα,,,21Λ线性无关，则s 和t 的关系是 ；6．复数集C 作为数域R 上的线性空间，其维数等于 ； 7．若三阶方阵A 的特征值是1，1，，，那么；8．在线性空间4][x R 中，多项式3791x x +-在基32,,,1x x x 下的坐标是 ； 9．设0λ是n 阶方阵A 的一个特征值，则属于特征值0λ的线性无关的特征向量的个数至少为 个；10．在通常定义下，4R 中向量=α（4,2,-4,4）与β（1,2,1,-1）的夹角为 。

二、计算题（6题，每题10分，共60分）1．求矩阵A=⎪⎪⎪⎭⎫ ⎝⎛---113206115 的特征值与特征向量。

2．已知A=⎪⎪⎪⎭⎫ ⎝⎛--122212221 ，求A 1- 及(A *)1-。

3．设14156)(23-+-=x x x x f ，在复数域上求)(x f 的所有根。

4．计算行列式xx x xD ----=1111111111111111ΛM ΛM M M ΛΛΛ。

5．已知⎪⎪⎪⎭⎫ ⎝⎛--=⎪⎪⎪⎭⎫ ⎝⎛----⎪⎪⎪⎭⎫ ⎝⎛-213654321112101032101113112X ，求X 。

广东财经大学硕士研究生入学考试试卷考试年度：2023年考试科目代码及名称：804-英语写作与翻译适用专业：050201 英语语言文学［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］Part I Writing (100分)1.Summary Writing (40分)Directions: Read the following passage, and write a summary of about 300 words for it in your own words. Directly copying sentences from the passage will result in deduction of grades. Write down your summary on the Answer Sheet.Understanding CultureTheoretically, human verbal communication can be considered a process with two extreme ends: intracultural communication and intercultural communication. However, communicators are practically always between, closer or further to one of the ends, creating and interpreting meaning by using their existing linguistic tools. So it would be a mistake to talk about a dichotomy.There is no such thing as pure intracultural communication or intercultural communication. What we have is something in between, on a continuum with the two hypothetical ends. I believe that this approach can help us better understand ELF(English as Lingua Franca). But before we explain how the continuum works we need to define culture as understood in this book. We adopt Bates and Plog’s definition according to which culture is “the system of shared beliefs, norms, values, customs, behaviors, and artifacts that the members of society use to cope with their world and with one another” (1980: 6).However, culture cannot be seen as something that is “carved” in every member of a particular society or community. It can be made, changed, manipulated, and dropped on the spot. In fact, it is not culture that can be changed, manipulated, and dropped in talk and life in general but its manifestation. Gumperz (1982) and Gumperz and Roberts (1991) talked about the fact that “culture” is not present in communication in the “old” sense of a transcendent identity that is composed of values and norms and linearly related to forms of behavior. Cultural phenomena in speech are contingent, situational, and emergent in nature. The main argument of the approach represented by Gumperz, Hymes, Blommaert, Rampton, and others is that there is no single language, culture, or communicative style. What we have is language, culture, and communicative style instantiated in several group and individual varieties. In intercultural communication, speakers have a “repertoire” of varieties of styles, and a combination of styles, which are deployed according to communicative needs in the changing context. The nationality or ethnic membership of people may suggest the possibility of ethnic or cultural marking in communicative behavior. However, the interplay of several different factors affects the emergence of “ethnically” or “culturally marked” aspects of communicative behavior that is most frequently dominated by other than cultural factors. This approach, however, should not mean that there is nothing relatively stable and unifying in culture. On this issue, there is a significant difference between the constructivist view represented by Blommaert, Gumperz, and Rampton and the socio-cognitive approach promoted by Kecskes (2010, 2013, 2014). The difference between the constructivist view and the socio-cognitive approach lies in the understanding of the nature ofexisting “communicative repertoires” and the ways these repertoires are deployed. According to the socio-cognitive approach, existing communicative repertoires have been developed from prior experience and communicative encounters in a language or languages including the common language of communication, that is, English in ELF (Kecskes 2013b). What the online, in situ creation of culture means is similar to what online, actual meaning construction means: the bringing about of something relatively new needed in the actual situational context by using and blending existing repertoires and newly emergent elements Culture, just like meaning, is characterized by both regularity and variety. It certainly is more than just an online created and co-constructed phenomenon. In communication, interlocutors can rely on two types of repository of prior experience and encounters: lexical units and communicative styles. Like lexical items, cultural patterns (often expressed in different communicative styles) code prior experience and encounters, i.e., relatively standard cultural behavior models and expectations which are activated in a given situational context. Here is, for instance, an exchange between a librarian and a student (both nonnative speakers of English)STUDENT: - I am returning these books.LIBRARIAN: - Can I see your library card, please?STUDENT: - Here you are ...LIBRARIAN: - Do you want to extend the due date of any of these books?STUDENT: - No, thank you.LIBRARIAN: - Here is your card. You are all set.As we can see, in the course of the interaction these existing models (librarian–customer frame) are modified and blended with situationally emergent new elements (ad hoc generated expressions). This process of blending that relies both on existing and emerging factors constitutes the communicative encounter. Blending means joining existing and emerging elements/factors into new intercultures. So in the interaction, the communicative repertoires of speakers are not just deployed but are actually modified and blended with emerging elements as the process develops. The socio-cognitive approach emphasizes that this “interculture” creation means not just putting together what we have and bringing about a third phenomenon which is neither this nor that, but actually giving sense to the communicative repertoires and changing them by relating them to the actual situational context that also adds to or takes away something from what is existing. Cultural constructs and models change diachronically, while cultural representation and speech production by individuals changes synchronically. From the perspective of ELF, it is important that the participants in this conversation rely on existing ENL patterns (interaction frame between librarian and customer). They are comfortable with those in this context because they both know them quite well. So there is no problem for them to behave according to the requirements of the given cultural pattern. However, this is not always the case in ELF when the cultural frame is missing, is not recognized by the parties, or is interpreted differently by them.2.Essay Writing (60分)Directions:According to Resolution of the Central Committee of the Communist Party of China on the Major Achievements and Historical Experience of the Party over the Past Century, “We must adhere to a people-centered approach in ideological work, uphold socialism with Chinese characteristics, rally public support, foster a new generation with sound values and ethics, developChinese culture, and build a better national image. ”In what ways can a better national image of China be built, in your opinion?Write no less than 800 words on the Answer Sheet.Part II Translation (50分)1.English-Chinese Translation (25分)Directions: Translate the following passage into Chinese.Brand sacrifice initially hit me as a through-the-looking-glass moment in which everything is turned upside-down. However, digging more deeply, I found evidence that responsible company action may be one way of undoing what more than a century of growing consumerism has created —and business is benefitting in the process. Take Patagonia（巴塔哥尼亚，户外品牌）, for example. The company is several year s into a “buy less” campaign that asks current customers to wear what they have until it is threadbare. The result: an increase in sales. CEO Yvon Chouinard （伊冯•乔纳德） told Inc. magazine, “I know it sounds crazy, but every time I have made a decision that is best for the planet, I have made money. Our customers know that — and they want to be part of that environmental commitment.” What is not clear is whether these are old customers feeling good about trading up, or new customers migrating from brands less willing to sacrifice.Luthy（卢西）told m e that consumers are rewarding “human brands” that display honesty, transparency, and a willingness to admit when they are wrong. Brand sacrifice also reflects the idea that consumers are holding companies to stricter standards than they hold for themselves. He noted that many people think it’s a good idea to take fewer flights in general, but data reveals that air travel is up —few individuals seem willing to cut their own flying. When it comes to corporate behavior, however, Luthy says that “no hypocrisy is allowed, and the standards are getting higher.” The TrendWatching report cites an Accenture/Havas Media（埃森哲/哈瓦斯传媒）study that showed that 72 percent of respondents felt that “business is failing to take care of the planet and society as a whole.”Companies may actually be in the best position to make such sacrifices; their strategies often require long-term vision and commitments. For example, the companies in the Roundtable on Sustainable Palm Oil unders tand that if they don’t help create an ecologically viable supply of this vital ingredient, their value chains will be riskier and less resilient.2.Chinese-English Translation (25分)Directions: Translate the following passage into English.中国诗人于花中最爱梅（plum）花，这一点上文中已经所说明，称之为“花魁”，因为梅花开于新年，正是一年之先，但是各人的意见当然也有不同的，所以有许多人则尊牡丹（peony）为“花王”，尤其是在唐代。

2017一2020年广东财经大学金融考研真题2017年广东财经大学金融考研真题一、名词解释(6题，每题5分，共30分)1.货币的时间价值2.系统性风险3.马歇尔-勒纳条件4.内部报酬率5.利益相关者6.可持续增长率二、判断题(10题，每题2分，共20分)1.开放式基金均可以在交易所上市交易2.中国人民银行开始了利率走廊调节机制3.政策性银行是贯彻国家产业政策和区域发展政策为目标,不以盈利为目标的金融机构4.现金股利越多越好5.贷款专业化是应对信用风险的一种手段6.净现值法是判断项目投资的可靠方法7.企业的财务杠杆越高越好8.金融危机发生会影响货币乘数9.盯住汇率制更容易引发资本外逃10.信用债券是一种无担保债券三、简答题(5题，每题8分，共40分)1.恶性通货膨胀对经济生活有什么影响?2.试述在无公司税条件下MM第一定理与第二定理及其含义。

3.制约派生存款的因素有哪些?4.简述蒙代尔的“政策搭配理论”。

5.简述利率期限结构理论。

四、计算题(2题，每题10分，共20分)1.债券的息票利率为8%，面值为1000元，距离到期日还有5年，到期收益率为10%，如果每半年支付一次利息，求债券的现值。

2.假定某银行从中央银行获得了80000元的贴现贷款，且活期存款的法定准备金率为8%，那么在简单存款创造条件下，银行体系最终将创造出多少存款?如果每家银行都希望持有2%的超额准备金，情形又将如何呢?如果现金漏损率为20%，定期存款与活期存款比率为0.5，且定期存款的法定准备金率为4%，则银行体系最终将创造出多少活期存款，多少流通中现金，多少定期存款?五、论述题(2题，每题20分，共40分)1.试评述中国人民币汇率形成机制的市场化进程。

2.论述净现值法则、回收期法则、内含报酬率法则等三个投资准绳，并比较三者之间的优劣。

2020年广东财经大学金融考研真题一、名词解释(5题，每题4分，共20分)1.货币制度2.利率期限结构3.消费信用4.远期5.资产证券化二、简答题(5题，每题6分，共30分)1.通货紧缩对经济生活有什么影响?2.简述金融市场有效性3.中国的新型货币政策工具有哪些?4.简述蒙代尔的“政策搭配理论”。

第一章 多项式1、（清华２000—20分）试求7次多项式()f x ，使()1f x +能被4(1)X -整除,而()1f x -能被4(1)X +整除。

2、（南航2001—20分）（1）设x 2-2px+2∣x 4+3x 2+px+q ，求p,q 之值。

（2）设f(x)，g(x)，h(x)∈R[x]，而满足以下等式（x 2+1)h(x)+(x -1) f(x)+ (x -2) g(x)=0（x 2+1)h(x)+(x+1) f(x)+ (x+2) g(x)=0证明：x 2+1∣f(x)，x 2+1∣g(x)3、（北邮2002—12分）证明：x d -1∣x n-1的充分必要条件是d ∣n （这里里记号d ∣n 表示正整数d 整除正整数n ）。

4、、（北邮2003—15分）设在数域P 上的多项式g 1(x)，g 2(x)，g 3(x)，f(x),已知g 1(x)∣f(x)，g 2(x)∣f(x)， g 3(x)∣f(x)，试问下列命题是否成立，并说明理由：（1）如果g 1(x)，g 2(x)， g 3(x)两两互素，则一定有g 1(x)，g 2(x)，g 3(x)∣f(x) （2）如果g 1(x)，g 2(x)， g 3(x)互素，则一定有g 1(x)g 2(x)g 3(x)∣f(x) 5、（北师大2003—25分）一个大于1的整数若和其因子只有1和本身，则称之为素数。

证明P 是素数当且仅当任取正整数a ，b 若p ∣ab 则p ∣a 或p ∣b 。

6、（大连理工2003—12分）证明：次数>0且首项系数为1的多项式f(x)是某一不可约多项式的方幂主充分必要条件是，对任意的多项式g(x)，h(x) ，由f(x)∣g(x) h(x)可以推出f(x)∣g(x)，或者对某一正整数m ，f(x)∣h m(x)。

7、（厦门2004—16分）设f(x)，g(x)是有理数域上的多项式，且f(x)在有理数域上不可约。

广东财经大学硕士研究生入学考试试卷考试年度：2017年 考试科目代码及名称：601-数学分析与高等代数(自命题) 适用专业：071400 统计学［友情提醒：请在考点提供的专用答题纸上答题，答在本卷或草稿纸上无效！］ 《数学分析与高等代数》 [含数学分析100分，高等代数50分，共150分]一、计算题（7题，共100分）1.(15分）求极限0x → . 2.(15分)设()f x 可导，求函数()()2x f f e 的导数. 3.(15分)设(0,)+∞上的连续函数()f x 满足()1ln ()ef x x f x dx =-⎰，求 1()ef x dx ⎰.4.(15分)设(),f x y 具有连续偏导数，且()()22,1,,x f x x f x x x ==，求()2,y f x x .5.(15分)设A 是一个3阶方阵，已知A 的特征值为1231,1,0.λλλ==-= A 的属于特征值 123,,λλλ的特征向量依次为1231012,2,1112ααα⎡⎤⎡⎤⎡⎤⎢⎥⎢⎥⎢⎥==-=⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎣⎦⎣⎦⎣⎦试求A .6.(15分)已知矩阵,,A B A B +均可逆，试求()111A B ---+ . 7.(10分) 设四元非齐次线性方程组Ax b =的系数矩阵A 的秩为3，已知它的三个解向量为123,,ηηη，其中1233446,1820ηηη⎡⎤⎡⎤⎢⎥⎢⎥-⎢⎥⎢⎥=+=⎢⎥⎢⎥⎢⎥⎢⎥⎣⎦⎣⎦， 求该方程组的通解.二、分析论述题（3题，共50分）1.(20分)若数集S 有上确界，试证其上确界唯一。

2.(20分)试证无穷级数12!n n n n n∞=∑ 收敛。

3.(10分)证明：对于任一实矩阵A ，都有 ()()T r A r A A =。