广东财经大学高等代数2018—2020年考研真题试题
考研真题：广东财经大学2020年[英语水平]考试真题
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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.。
广东财经大学硕士研究生入学考试试卷
广东财经大学硕士研究生入学考试试卷考试年度：2018年考试科目代码及名称：F520-会计学综合适用专业：120201会计学［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、名词解释（5题，每题3分，共15分）1.费用2.可变现净值3.无形资产4.经营杠杆5.内含报酬率二、简答题（3题，每题5分，共15分）1.简述采用公允价值模式进行后续计量的投资性房地产转为自用房地产的会计处理。
2.简述股票上市的优缺点。
3.简述如何理解财务报表审计中的重要性概念。
三、实务题（4题，每题10分，共40分）（计算结果保留到小数点后2位）1.甲公司为增值税一般纳税人，材料按计划成本核算。
A材料计划单位成本为每公斤10元。
甲公司2017年4月有关资料如下：（1）“原材料”账户月初余额40000元，“材料成本差异”账户月初贷方余额500元，“材料采购”账户月初借方余额10600元（上述账户核算的均为A材料）。
（2）4月5日，甲公司月初未收到的A材料1000公斤如数收到，已验收入库。
（3）4月15日，购入A材料6000公斤，增值税专用发票注明的材料价款为59000元，增值税额10030元，甲公司已用银行存款支付上述款项，材料尚未到达。
（4）4月20日，购入的A材料到达，验收入库时发现短缺40公斤，经查明为途中定额内自然损耗。
按实收数量验收入库。
（5）4月30日，汇总本月发料凭证，本月共发出A材料7000公斤，全部用于产品生产。
要求：根据上述业务编制相关的会计分录，并计算本月材料成本差异率（保留小数位数不限）、本月发出材料应负担的成本差异及月末库存材料的实际成本。
2.乙公司购入设备一台，增值税专用发票上注明的货款为40000元，增值税税率为17％，支付运杂费500元，安装调试费2700元。
该设备预计残值收入2200元，预计清理费用200元，预计使用年限为5年。
要求：分别采用双倍余额递减法和年数总和法计算该项设备每年的折旧额。
广东财经大学601-数学分析2020年考研真题
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。
2020年广东财经大学807高等代数考研真题硕士研究生专业课考试试题
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 。
2018年广东财经大学考研复试试题F516辩证唯物主义和历史唯物主义
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：2018年考试科目代码及名称：F516-辨证唯物主义和历史唯物主义适用专业：030500马克思主义理论
［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）问答题（5题，每小题10分，共50分）
1.简述绝对真理与相对真理的辩证关系。
2.唯物辩证法和形而上学的对立主要表现在哪些方面？
3.简述经济基础与上层建筑的辩证关系。
4.简述生产关系的内容及其相互关系。
5.简述什么是哲学的基本问题。
（2）论述题（2题，每小题25分，共50分）
1.试述矛盾的同一性和斗争性及其在事物发展中的作用。
2.如何从社会主义社会的基本矛盾和特点来看待社会主义制度的改革？
1。
广东财经大学2017-2018学年第二学期线性代数试题
第 1 页 /共 2 页
广东财经大学试题纸
2017-2018 学年第二学期 考试时间共 120 分钟
模拟卷
课程名称 线性代数(A 卷) 课程代码 100042, 100033 课程班号 经管类, 理工类 共 2 页
一. 单选题(每小题 5 分, 共 25 分) 1. 若齐线性方程组 Amn x 0 只有零解, 则关于 Ax b ( b 为非零列向量)的解, 说法正确的是( (A).只有零解 2. 若向量组 1 , 2 ,
则 k1 k2 k3 k4 =_____________________. 三. 计算题(每小题 10 分, 共 30 分)
1 3 32 1 33 0
1. 计算行列式 1
3n 0 0 32 n 1
0 0
35 0
1
2.
x1 ax2 x3 x4 1 x 2 x 3x 4 x 2 1 2 3 4 当 a, b 分别取何值时, 线性方程组 有唯一解? 有无穷多解? 无解? 2 x1 2 x2 3x3 x4 0 3x1 x2 bx3 4 x4 3
的特征值为 1, 2,3,
, n , 则(
)
(A). 矩阵 A 有 n 个线性无关的特征向量
(B). A
n n 1 2
(C).
a
i 1
n
ii
n !
(D).线性方程组 A nE x x 有非零解
二. 填空题(每小题 5 分, 共 25 分)
1.
4 1 矩阵 A 1 1
0 1 0 0 0 设矩阵 A 0 3 0 , B 0 0 0 5 8
广东财经大学数学分析考研真题试题2018、2019年
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：2018年 考试科目代码及名称：614-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！］ 《数学分析》 [共150分]一、计算题（6题，每题10分，共60分）1.求极限()21sin 1lim 1x x x →-- 。
2.设函数()f x 在a 可导，求极限()()02lim 2t f a t f a t t →+-+ 。
3.求不定积分 。
4.求极限230lim 1nn x dx x→∞+⎰ 。
5.判别级数12!n n n n n ∞=∑的敛散性。
6.求复合函数的偏导数：(),,,u f x y x s t y st ==+= 。
二、应用题（4题，每题15分，共60分）1.已知圆柱形罐头盒的体积是V （定数），问它的高与底半径多大才能使罐头盒的表面积达到最小？2.求一条平面曲线方程，该曲线通过点(1,0)A ，并且曲线上每一点(,)P x y 的切线斜率是22,x x R -∈。
3.求以下曲线绕指定轴旋转所成旋转体的侧面积：2,06y x x =≤≤，绕x 轴。
4.已知矩形的周长为24cm ，将它绕其一边旋转而成一圆柱体，试求所得圆柱体体积最大时的矩形面积。
三、证明题（2题，每题15分，共30分）1.证明：若存在常数c ，n N ∀∈，有21321||||||n n x x x x x x c --+-++-< ，则数列{}n x 收敛。
2.证明：方程2sin (0)x x a a -=>至少有一个正实根。
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：2019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.求数列极限();!)!2(!)!22(lim 1n n n n n -+++∞→2.求函数极限 ();sin 1ln sin tan lim 20x x x x x +-→3.设是可微函数，由所确定函数.求φ0),=--bz cy az cx （φ),(y x f z =. yz b x z a ∂∂+∂∂4.求函数级数的和函数和收敛域.∑+∞=-12n nx xe 5.设，确定使得满足方程 y x ex y x f 42),(-=ααf .122⎪⎭⎫ ⎝⎛∂∂∂∂=∂∂x f x x x y f 6.设.求全微分xyz u =.3u d 二、应用题（4题，每题15分，共60分）1.已知满足求的取值范围.,x y ()22+21.x y -=w =2.曲线在点处得切线与轴得正向所夹得角度是多⎪⎩⎪⎨⎧=+=4222y y x z )5,4,2(x 少？3.求由方程确定的隐函数的二阶导数012=-+y x e xy )(x y y =).(''x y 4.求不定积分.⎰xdx e x sin 三、证明题（2题，每题15分，共30分）1. 已知在区间上连续. 求证)(x f ],[b a ().)()()(2122⎪⎭⎫ ⎝⎛-≤⎪⎭⎫ ⎝⎛⎰⎰-b a n n b a dx x f a b dx x f n2. 已知证明存在唯一使得 .,0为自然数n x >），（10∈θ.11lim 00+==+→⎰n xe dt e x x x t n n θθ且。
广东财经大学601-数学分析2018 - 2020年考研真题汇编
广东财经大学硕士研究生入学考试试卷考试年度：2019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.求数列极限();!)!2(!)!22(lim 1n n n n n -+++∞→2.求函数极限();sin 1ln sin tan lim2xx xx x +-→ 3.设φ是可微函数，由0),=--bz cy az cx （φ所确定函数),(y x f z =.求yz b x z a∂∂+∂∂. 4.求函数级数∑+∞=-12n nx xe 的和函数和收敛域.5.设yx e x y x f 42),(-=α，确定α使得f 满足方程.122⎪⎭⎫ ⎝⎛∂∂∂∂=∂∂x f x x x y f 6.设xyz u =.求全微分.3u d二、应用题（4题，每题15分，共60分） 1.已知,x y 满足()22+2 1.x y -=求w =的取值范围.2.曲线⎪⎩⎪⎨⎧=+=4222y y x z 在点)5,4,2(处得切线与x 轴得正向所夹得角度是多少？3.求由方程012=-+y x e xy 确定的隐函数)(x y y =的二阶导数).(''x y4.求不定积分⎰xdx e x sin .三、证明题（2题，每题15分，共30分） 1. 已知)(x f 在区间],[b a 上连续. 求证().)()()(2122⎪⎭⎫ ⎝⎛-≤⎪⎭⎫ ⎝⎛⎰⎰-b a n n ba dx x f ab dx x f n2. 已知.,0为自然数n x >证明存在唯一），（10∈θ使得.11lim 0+==+→⎰n xe dt e x x xt nn θθ且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!limn n n n→∞。
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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） 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：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，若，则)()(),(),(),(x P x v x u x g x f ∈5)()()()(=+x g x v x f x u ；
=))(),((x v x u 2．设阶方阵，均可逆，则 ；
n A B =-1)(AB 3．中，的系数是 ；
x x x x x x f 1111
231112
12)(-=3x 4．设矩阵，则＝ ；
n n ⨯)(ij a A =in kn i k i k A a A a A a +++ 22115．若向量组可经向量组线性表出，且线性s ααα,,,21 t βββ,,,21 s ααα,,,21 无关，则和的关系是 ；
s t 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-1B =A 2―2A +3 ；
|B |=8．在线性空间中，多项式在基下的坐标4][x R 3791x x +-32,,,1x x x 是 ；
9．设是阶方阵的一个特征值，则属于特征值的线性无关的特征向量的0λn A 0λ个数至少为 个；
10．在通常定义下，中向量（4,2,-4,4）与（1,2,1,-1）的夹角为 。
4R =αβ二、计算题（6题，每题10分，共60分）。