湖南大学课程考试试卷 - Welcome to Hunan University
2023年湖南大学英语考试真题卷(5)
本卷共分为 2 大题 50 小题，作答时间为 180 分钟，总分 100 分， 60 分及格。
一、单项选择题(共 25 题，每题 2 分。
每题的备选项中，只有一个最符合题意)1.The child was asked to ______ for destroying the little girls toy car.A．apologizeB．pardonC．excuseD．admit2.This program ______ your patience and confidence. A．calls forB．calls onC．calls atD．calls about3.Mary was ______ to see so many roses in front of herroom.A．surprisingB．surpriseC．surprisedD．surprisingly4.I was just lying down when I heard someone ______ on the window.A．breakB．tryC．hitD．knock5.The old man ______ son is a famous scientist never received any education~A．whatB．whoseC．thatD．whom6.She still believes in him, ______ be has cheated her several times.A．even thoughB．because ofC．in spite ofD．therefore7.Which of the following statement is true according to the first paragraphA．Edison received the first American patent. B．Edison got the most patents in America at that time. C．Edison was the only American inventor.D．Edison was the first American inventor.8.That suggestion plan was never carded out because _______.A．it was difficultB．it wasn't rightC．not everyone agreed on the suggestion plan D．electric power was too important to the country9.What does “dim” (Line 1, Para. 3 ) meanA．To make less bright.B．To make more bright.C．To mm on.D．To mm off.10.People decided to honor Edison when ______.A．he made his electric lightB．the first invention was madeC．he died more than 70 years agoD．the country realized the importance of electricity11.The suggested plan was to ______.A．turn on all lightsB．mm off all electricity for a short timeC．shut off the fights in citiesD．dim all lights12.What does this passage mainly talk aboutA．Doctor's advice on how to improve our health. B．The advantages of walking.C．Walking and calories.D．How to find me for walking.13.Which of the following is NOT true according to theauthorA．A pair of comfortable shoes is needed if you want to start walking program.B．Walking is very useful for our health.C．The more you walk, the better.D．Walking can make you feel relaxed from pressure.14.Which is not mentioned as one of the advantages of walking in this passageA．It can help you lose weight.B．It gives you more energy.C．It's cheap.D．It helps to increase your appetite.15.Why walking is one of the easiest way to exercise A．Because it is recommended by doctors.B．Because there are a lot of walking programs for you to choose.C．Because you only need to walk 30 minutes daily. D．Because it does not need particular place or time.16.If you walk fast for 30 minutes every day, how manycalories will be used for one weekA．100.B．700.C．1,400.D．200.17.Global temperature will climb an average of 3.5 degrees by 2040 and as much as 9 degrees by 2100. A．地球温度到 2040 年将会爬到 3.5 度，到 2100 年将会爬到 9 度。
湖南省名校大联考2023-2024学年高三上学期第一次质量检测英语试题
湖南省名校大联考2023-2024学年高三上学期第一次质量检测英语试题学校:___________姓名：___________班级：___________考号：___________一、阅读理解A huge number of exchange programs and summer school programs are offered to international students around foreign universities worldwide. Today we explain the top student exchange programs -and -summer programs offered to foreign students.Vienna Summer SchoolVienna Summer School provides an incredible opportunity for 30 bachelor-level students to research side by side with world top researchers in the field of bioengineering. This paid summer program aims to attract international students and create an excellent research environment. This is a perfect opportunity for those students who are interested in the field of life science. The duration of Vienna Summer School is from Saturday, July 1 to August 28,2023.SUSI Student Leaders ProgramBachelor-level students in Pakistan who are interested in the topic of public, local, state and federal policy making are invited to study in the USA through the short-tern SUSI student program 2023 held at the University of Massachusetts. This is an exchange program for Pakistani students. All expenses and accommodation costs will be covered by SUSI, so the application period is very short.Hansen Leadership Exchange ProgramThe Hansen Summer Institute for Leadership is now open for the summer exchange program 2023. The Hansen summer program offers the opportunity to the USA and international students to build better leadership skills and a cultural understanding environment for the future. This 3-week summer exchange program is open for undergraduate, graduate,and doctoral students with any academic background.IWP Summer Exchange ProgramIWP Summer Exchange Program 2023 is a two-week writing and culture exchange program for Pakistani and Indian students in Iowa City, USA．The applicant from 18 to 22 from these countries with a background in art humanities is welcome to apply. This program will focus on creativity and is free for the selected applicants. The selected candidates willwork together on the creation of paintings and sculptures.1．Which program suits students who like biology?A．Vienna Summer School.B．SUSI Student Leaders Program.C．IWP Summer Exchange Program.D．Hansen Leadership Exchange Program.2．Why should students apply for SUSI Student Leaders Program early?A．It is fully funded.B．It is a short-term program.C．It is limited to postgraduates.D．It is supported by the government.3．What will students in IWP Summer Exchange Program do?A．Offer policy advice.B．Conduct research.C．Write academic papers.D．Create artworks.Visionary architects design buildings which speak for themselves. From towering concrete pillars to sculptural modernist domes (穹顶), the work of Balkrishna Vithaldas Doshi defined Indian architecture for the latter half of the 20th century. Known as B．V. Doshi,projects to the Indian Institute of Management in Bangalore. Sadly, the great architect died on January 24,2023, at the age of 95, leaving behind a fascinating legacy.Born on August 26, 1927, in Pune, southeast of Mumbai, Doshi grew up with his father and grandfather, a furniture maker. As a child he came to appreciate how their house grew and changed. In 1947, shortly before Indian independence, he began architecture school. However, he never finished, a fact which he’d later point to in life as an advantage. He married his wife Kamala Parikh in 1955. When she passed away, Doshi lived in a house he designed and named for his beloved wife.Doshi was influenced by the famous Swiss-French architect known as Le Corbusier. Doshi studied with him in Paris and then returned to India to supervise the architect’s work in Ahmedabad. In 1956, Doshi founded his own firm called Vastushilpa. He traveled the world lecturing at universities, worked with other famous architects, and even founded the Center for Environmental Planning and Technology (now CEPT University) focusing onunderstanding, designing, planning, constructing and managing human habitats.“We did not want to imitate someone else’s approach,” he told the Louisiana Museum of Modern Art in 2018.“We wanted to find our own identity.” He drew from his pride in Indian culture to create a style distinct from Western designs. “I think of my buildings as my friends, my family,” he said. “I have a conversation with them, and that’s how I create niches and staircases and openings and gardens…my buildings are not only pure and clear but designed to anticipate changes.Aside from his modern works, Doshi was devoted to creating works to benefit the poor. He designed the Aranya Low Cost Housing Project in Indore. The photographer Iwan Baan, who photographed some of Doshi’s works, described the artist as “the most approachable architect I know. Even very poor people in his public housing projects knew him, which is exceptional.”4．Which of the following can replace the underlined word “versatile” in paragraph 1?A．Popular.B．modestC．forward-looking.D．well-rounded5．What do we know about Doshi’s life?A．He had a miserable childhood.B．He regretted leaving school early.C．He made a contribution to higher education in architecture.D．He set up his company under the guidance of Le Corbusier.6．What does the author want to illustrate by quoting Doshi’s words?A．The public support for Doshi.B．The originality of Doshi’s works.C．Doshi’s open mind on changes.D．Doshi’s love of architectural design.7．What is the purpose of the text?A．To give a brief account of Doshi’s life.B．To encourage people to visit Doshi’s works.C．To remember India’s great architect Doshi.D．To advertise Doshi’s architectural philosophy.PFAS are found in nonstick pans, water-proof fabrics and food packaging. They’recalled forever chemicals because of their ability to stick around and not break down. Now, using a bit of heat and two relatively common compounds, researchers have degraded (降解) the chemical in the lab.While some scientists have found relatively simple ways of breaking down select PFAS, most degradation methods require harsh processes using intense pressure — in some cases over 22 mega-pascals — or extremely high temperatures — sometimes upwards of 1,000℃ — to break the chemical bonds.William Dichtel, from Northwestern University in Evanston, and his team experimented with two substances found in nearly every chemistry lab; sodium hydroxide (氢氧化钠), also known as lye, and a solvent (溶剂) called DMSO. The team worked specifically on a group of forever chemicals which contain a large percentage of PFAS.When the team combined chemicals with the lye and DMSO at 120℃ and with no extra pressure needed, the carbolic acid (羧酸) fell off the chemicals and became carbon dioxide. “What happened next was unexpected, ” Dichtel said. The loss of the acid helped degrade the chemicals into fluoride ions (氟离子) and smaller carbon-containing products, leaving behind no harmful by-products.“It’s a neat method; it’s different from others that have been tried,” says Chris Sales, an environmental engineer at Drexel University in Philadelphia who was not involved in the study. “The biggest question is how this could be adapted and scaled up. Understanding this mechanism is just one step in undoing forever chemicals,” Sales said.This process wouldn’t work to deal with PFAS in the environment, because it requires a concentrated amount of the chemicals, but it could one day be used in wastewater treatment plants, where the pollutants could be filtered out of the water, concentrated and then broken down.8．What can we learn about the previous ways to break down PFAS?A．They’re eco-friendly.B．They’ve been widely used.C．They’re difficult to operate.D．They’re regarded as useless.9．What did the team do in their experiment?A．They experimented with different solvents.B．They tried two very common substances.C．They tested every group of forever chemicals,D．They exposed chemicals to extreme temperatures.10．What made the researchers most surprised in their experiment?A．Environmentally-friendly reactions occurred.B．The carboxylic acid became carbon dioxide.C．No extra pressure was needed for the trial.D．The lye and DMSO could work at 120℃,11．What can we infer from Chris Sales’ words?A．It is difficult to deal with PFAS in the environment.B．This mechanism will soon be used in the environment.C．The method will be applied to different kinds of chemicals.D．More research is needed before the method is widely used.The idea that the normal human body temperature is about 37℃ was first presented by the German physician Carl Reinhold August Wunderlich in 1851. Since then, it’s become so widely accepted that it serves as a touchstone for health—a diagnostic tool used by physicians and parents as a basic indicator of whether someone is sick or well. However, it turns out that this well-established fact isn’t, in fact, correct—or, to put it more accurately, human beings have been getting cooler over the years.Recent studies have shown that temperature records of groups of people have tended to run low compared to the accepted norm (标准), so the Stanford team, led by Julie Par-sonnet,MD, professor of medicine and of health research and policy, decided to do a more in-depth study to compare modern measurements with historical records to try to identify body temperature trends and, perhaps, uncover the reason why this cooling is happening.For their research, the Stanford team looked at three distinct data sets from two historical periods. After going through 677,423 temperature measurements, the team found that men born in the 21st century had an average body temperature of 0.6℃ lower than that of those born in the early 19th century while modern women showed an average decrease of 0.03℃ compared to those born in the 1890s.As to why this is happening, the researchers say that the most likely mechanism is a reduction in the human metabolic rate (代谢率) due to environmental factors: One possibility is that improvements in public health over 200 years have reduced the incidence of inflammations (炎症),which promote metabolism. This combined with people living more comfortable lives in more stable environments means that the body doesn’t have to work ashard to stay warm, so the average temperature falls.”The environment that we’re living in has changed, including the temperature in our homes, our contact with microorganisms (微生物) and the food that we have access to. All these things mean that although we consider human beings as the same for all of human evolution, we’re not the same. We’re actually changing physiologically,” Parsonnet said. 12．What is Carl Reinhold August Wunderlich’s achievement?A．He set up standards for human health services.B．He predicted trends in human body temperature.C．He first used body temperature as a health indicator.D．He proposed the standard human body temperature.13．What can we learn about the Stanford team’s study?A．It shows women have a lower body temperature than men.B．It proves human body temperature has dropped at a faster rate.C．It compared historical and current human body temperature data.D．It suggested updating the definition of the average body temperature.14．Which of the following is thought to cause the decrease in human body temperature?A．The improved living conditions.B．The contact with other creatures.C．The decline in physically demanding work.D．The adaptation of humans to climate change.15．Which one could be the best title for the text?A．What exactly is normal human body temperature?B．Why does human body temperature need measuring?C．Human body temperature has decreased over the yearsD．Human body temperature changes with the environment二、七选五Born in 1961, Snoussi, a Frenchman, first came to China in 1983. At that time, he was a law student at Aix-en-Provence University and accompanied his father on a business trip to China.16 In March 2006, Snoussi moved to Ningbo to help his father who had set uphis export business. After living there for more than seven years, Snoussi realized that what he missed most was a traditional French bakery.“ 17 , which made Chinese, Korean, or European-style bread, but we couldn’t find that specific French taste. It was unlike our daily bread,because in my home country, bread is a bit like rice in China,” he explained. In June 2013,Snoussi opened an authentic (正宗的) French bakery in Ningbo. Though he had no baking experience, he quickly learned the ropes from a French baker. 18 .What makes Mon Epoque unique is its authentic French identity, which guarantees a genuine French taste every day. “We are one of the few French bakeries in China that directly imports flour from France, produced in the Cognac region from French wheat. 19 . These are the two most important ingredients in baking. This allows us to guarantee the same taste and quality day in, day out. We pay attention to the quality and the taste of our products so that our patrons can experience the same feeling every day,” he said.20 . In 2008,he donated over 30,000 yuan($4,300)to Wenchuan in Sichuan Province. In Ningbo, he donated T-shirts for students with disabilities and gave scholarships to outstanding students at a school. For several years, he sponsored (赞助) the Pink Ribbon Campaign organized by a team of foreign women to raise awareness about breast cancer. He also sponsored activities to encourage more people to look after stray dogs.A．This French baker was famous for his unique bakeryB．Snoussi is keen on social activities in NingboC．The butter used is also imported from FranceD．Snoussi enjoys helping people in needE．This visit was a culture shock for himF．He named his brand Mon EpoqueG．We had good bakeries in Ningbo三、完形填空During my stay at the University of Michigan, one of the senior professors asked me tolooked down in 25 , and thought that “expert” was a big word.When I lived in North Carolina, my new friends came over to 26 . Conversations were full of interest and energy, and there was a lot of 27 . At the end of the evening, when my guests left, they thanked me for the dinner. My heart 28 , because I was born and raised in the Netherlands, where “thanking for dinner” means the relationship is 29 . Emotions are different enough to feel out of 30 when you move from one culture to another. The professor at the University of Michigan meant to make me feel 31 , but instead made me uncomfortable. My friends meant to show 32 , but they made me think they were distancing themselves from me.We think about emotions as feelings deep inside us, but in 33 , our emotions happen in interactions with others. In my own culture, it was hard to observe the 34 emotions of others, but I was able to see them when I moved to the US—a different 35 from where I was raised.21．A．analysis B．state C．letter D．round 22．A．understated B．interesting C．dramatic D．proud 23．A．set B．fit C．evaluate D．recommend 24．A．approach B．situation C．topic D．course 25．A．curiosity B．pity C．disappointment D．embarrassment 26．A．play B．dine C．work D．perform 27．A．support B．noise C．fun D．arguing 28．A．sank B．melted C．raced D．opened 29．A．harmonious B．normal C．strong D．distant 30．A．date B．shape C．place D．sight 31．A．reliable B．good C．serious D．careful 32．A．gratitude B．respect C．admiration D．affection 33．A．total B．advance C．detail D．reality 34．A．unbelievable B．pure C．invisible D．powerful 35．A．level B．culture C．standard D．value四、用单词的适当形式完成短文阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。
湖南大学课程考试试卷
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湖南大学英语三级考试真题2023年
湖南大学英语三级考试真题2023年全文共3篇示例，供读者参考篇1Hunan University English Level Three Examination 2023Part I: Reading Comprehension (40 points)Directions: There are 4 reading passages in this part. Each passage is followed by some questions or unfinished statements. For each of them, there are several choices. Read the passages carefully and choose the best answer to each question or complete the statement according to the information given.Passage 1Although college graduates generally earn more money than those with only a high school diploma, the salaries of many young college graduates have fallen in recent years. The problem is more severe for young men than for young women. Part of the reason is likely that today's young men are less likely to earn a bachelor's degree than young men of past generations, while young women are more likely than their predecessors to get a bachelor's degree.1. What is the main topic of the passage?A. Salaries of college graduatesB. Gender inequality in college graduation ratesC. Changes in the earnings of college graduatesD. Comparing the salaries of men and women2. According to the passage, which group has seen a decrease in salaries?A. Young menB. Young womenC. Both young men and young womenD. Neither young men nor young women3. Which group is more likely to earn a bachelor's degree today?A. Young menB. Young womenC. Both young men and young womenD. Neither young men nor young women4. Why are the salaries of young men falling?A. They are earning less money than women.B. They are less likely to earn college degrees.C. They are working in lower-paying jobs.D. They are more likely to go to graduate school.5. In what way are young women different from their predecessors?A. They are earning less money.B. They are getting a bachelor's degree more often.C. They are working in higher-paying jobs.D. They are not going to college.Passage 2The benefits of meditation have been proven by scientific research. Meditation has been shown to reduce stress, improve concentration, increase happiness, and even boost the immune system. With all of these benefits, it's no wonder that more and more people are turning to meditation as a way to improve their well-being.6. According to the passage, what are some benefits of meditation?A. Reducing stress and improving concentrationB. Improving sleep and increasing energyC. Boosting the immune system and increasing happinessD. All of the above7. Why are more people turning to meditation?A. Because it is cheapB. Because it is easyC. Because it has benefits for well-beingD. Because it is popular8. What has scientific research shown about meditation?A. It has no benefitsB. It can increase stressC. It can reduce stress and boost the immune systemD. It is not popular9. What do meditation and well-being have in common?A. They are unrelatedB. They are oppositesC. They are linkedD. They are expensive10. Which of the following is not a benefit of meditation?A. Reducing stressB. Improving concentrationC. Increasing happinessD. Boosting the immune systemPassage 3Traveling by train is a great way to see the countryside and explore new destinations. With comfortable seats, plenty of legroom, and panoramic windows, train travel offers a relaxing and scenic way to get from one place to another. In addition, trains are more environmentally friendly than airplanes, making them a sustainable choice for eco-conscious travelers.11. Which of the following is not a benefit of train travel?A. Comfortable seatsB. Plenty of legroomC. Panoramic windowsD. Fast travel times12. Why are trains a sustainable choice for eco-conscious travelers?A. They are faster than airplanesB. They have comfortable seatsC. They offer panoramic viewsD. They are more environmentally friendly13. What is a possible disadvantage of train travel?A. It is more expensive than flyingB. It is less comfortable than flyingC. It is slower than flyingD. It is less scenic than flying14. What is a great way to see the countryside and explore new destinations?A. Traveling by carB. Traveling by trainC. Traveling by planeD. Traveling by bus15. Why does train travel offer a relaxing and scenic way to get from one place to another?A. Because it is uncomfortableB. Because it is slowC. Because it is fastD. Because it has comfortable seats, plenty of legroom, and panoramic windowsPart II: Vocabulary (20 points)Directions: There are 20 words or phrases marked A to T in this part. For each word or phrase, there are four definitions given, but only one is correct. You must choose the correct definition for each word or phrase.For example:16. EuphemismA. A direct and forceful statementB. A subtle way of saying something offensiveC. A polite term used to avoid saying something embarrassingD. A dishonest or deceitful tacticThe correct answer is C. A polite term used to avoid saying something embarrassing.Now, let's move on to the actual questions:16. AggravateA. To irritateB. To easeC. To solveD. To increase17. BenevolentA. KindB. CruelC. IndifferentD. Similar18. DebilitateA. To strengthenB. To solveC. To weakenD. To harm19. IncognitoA. In disguiseB. PubliclyC. SecretlyD. Openly20. NefariousA. ImmoralB. GoodC. InnocentD. SacredPart III: Writing (40 points)Directions: Write an essay on the following topic in about 200 words.Topic: The Importance of EducationIn your essay, you should:1. Discuss why education is important.2. Talk about the benefits of education for individuals and society.3. Provide examples to support your points.Remember to:1. Use your own words.2. Use full sentences.3. Organize your essay logically.---This is just a sample of what the Hunan University English Level Three Examination for 2023 might look like. The actual test may vary in content and difficulty. Good luck to all test takers!篇2Hunan University English Level Three Exam 2023Introduction:The English Level Three Exam at Hunan University is an important test for students to evaluate their English proficiency and skills. The exam consists of various sections to assess students' listening, reading, writing, and speaking abilities. Theexam aims to enhance students' English language proficiency and cultivate their English language learning capabilities.Listening Section:In the listening section of the exam, students are required to listen to various audio clips and answer questions related to the content. This section evaluates students' listening comprehension skills and their ability to understand spoken English in various accents. The audio clips may include dialogues, monologues, and interviews on different topics to test students' overall listening abilities.Reading Section:The reading section of the exam consists of comprehension passages and questions based on them. Students need to read the passages carefully and answer questions related to the content. The passages may cover a wide range of topics such as science, culture, history, and literature to test students' reading comprehension skills and vocabulary.Writing Section:The writing section of the exam requires students to write essays, reports, letters, or summaries on given topics. This section evaluates students' writing skills, grammar, vocabulary,and coherence in writing. Students need to express their ideas clearly and effectively in written English to demonstrate their proficiency in writing.Speaking Section:The speaking section of the exam assesses students' ability to communicate effectively in spoken English. Students are required to participate in conversations, discussions, or presentations on various topics. This section evaluates students' pronunciation, fluency, grammar, and vocabulary in spoken English.Overall, the English Level Three Exam at Hunan University is designed to test students' English language proficiency and skills in listening, reading, writing, and speaking. It plays a crucial role in improving students' English language abilities and preparing them for their future academic and professional endeavors. Students are encouraged to prepare well for the exam to demonstrate their proficiency in English and achieve success in their language learning journey.篇3Hunan University English Level 3 Exam 2023Part 1: Listening (30 points)Section A. Listen to the following conversation and answer the questions.1. What is the man’s job?2. Where is the woman going?3. When does the woman need to be at the train station?Section B. Listen to the following passage and answer the questions.4. Why did the author write the book?5. What is the main theme of the book?Part 2: Reading (40 points)Section A. Read the following passage and answer the questions.6. According to the passage, what are the benefits of exercise?7. What is the main idea of the passage?Section B. Read the following passage and answer the questions.8. What is the author’s opinion on travel?9. What are the two main reasons the author gives for traveling?Part 3: Writing (30 points)10. Write an essay (160-200 words) on the following topic: “The Importance of Learning a Second Language.”Part 4: Speaking (30 points)Section A. Answer the examiner’s questions.11. What do you enjoy doing in your free time?12. Have you ever traveled abroad? If so, where did you go and what did you do there?13. What is your favorite book and why?Section B. Give a short presentation on the following topic: “How to maintain a healthy lifestyle.”Good luck with your exam!。
17-湖南大学课程考试试卷答案.doc
诚信应考，考试作弊将带来严重后果！ 考试中心填写： 月-曰| 湖禹大学课程考成成I考试用1.下列结论中正确的是【 】(A) 若==则对于充分大的自然数n,有S 么/J —>00/：—>oo(B) 设^ <Z?Jn = l ，2”“),并且 linw w = A, lim b n = B ，则 A< B/J —>oo H —>oo湖南大学教务处考试中心湖南大学课程考试试卷课程名称：高等数7:A(1):课程编码： ____________ 试卷编号：i;考试时间：120分钟 一、填空题(每小题3分，共15分)1.函数Y x 2-\•装订线(答题不得超过此线)— 3x + 2 的可去间断点为 2- /(x) = V2-X + 的定义域是 ln(x + l) 3.若j* Vl-x 2dx = arcsin%,则x 4. 若 /(%) =攻2又-1)(3又-21..(2010；1-2009)，则 /’(0) = ________5. 抛物线y = x 2 -4x +3在曲率最大处的曲率为 _____________ .二、单选题(每小题3分，共15分)(C)若，则n S±L = 1(D)若linwA，则对充分大的自然数L冇^=A,^OC 11111 _ 1a n2.J f(x)dx = x2 4- C ,贝ij Jx/(l-x2)ck= 【】4.当X40时，e x + ln(l-x)-l与Y是同阶无穷小，则【】(A) 1 (B) 2 (C) 3 (D) 4I K 7T5.设 / e CIO, 1J XL /(x) > 0, iG /, = £ /(%)dx, I2 = £2 /(sinx)dr, /3 = £4 /(tanx)dr,则下列不等式成立的是【】■■装订线(答题不得超过此线)湖南大学课程考试试卷湖南大学教务处考试1.计算极限lim.r^O三、计算题（每小题5分，共20分）1-A/COSXX（1-COS A/X）2.计算极限2 -l）dr3.计算积分j* xf\x）dx ,4.设函数y = 由方程组X+Z（l-Z）=0, te y + ）’ +1= 0确定，求dy|oII四、(11 分)设/(X) =ax~+/?sinx+c,ln(l+x),—试问为何值x〉0，时，/(X)在x=0处二阶导数存在?五、(7 分)若/(x) = 2nx(l — XT，记=max{/(x)}(即 /(%)在刻o，ii[0J]上的《大值)，求打―>00六、（8分）（融化立方体冰块）某地为了解决干旱问题，需将极 地水域拖来的冰III 融化提供淡水.假设冰III 为巨大的立方体，其 表而积成正比.如果在最初的一小时里冰被融化掉九分之一的 部分需多少小时？（结果精确到小数点G —位，不能使用计算器）七、（10分）过点（1，5）作曲线r:y = x 3的切线L.试求（1） 切线L 的方程；（2） r 与L 所围平面图形Z ）的面积；（3）图 形D 的的部分绕;v 轴旋转~周所得立体的体积.湖南大学课程考试试卷.体积的衰减率与其体积，问融化掉其余湖南大学教务处考试八、(8分)利用定积分的换元法我们可以证明：若/⑻是连续函数，则冇ff V(sin x)ck=—/(sin x)dv.现要求将0 o此结论推广到满足在h列上连续且关为偶函数(即对［a，61中的任何x 有/(#-x)=/(^+x))的任意函数/(x)的情形，请叙述并证明你的结论.九、(6分)设/⑶在［6Z，/?］上连续，在Uz，ZO内可导，且仲) = 0, 试证：至少存在一点& (M)，使得/必+-^=0.答案一、 填空题（每小题3分，共15分）7|L x = \2. -2009!3. 24.（-t0）U （0,2] 二、 选择题（每小题3分，共15分） 1.A2. D3.C4.C5. B三、计算题（每小题5分，共20分）X + ,(1 — ,) = 0，解2:方程组#V +>’+ 1 = ()两边对x 求导得 dtlim 1-cosx11 - cos X lim 1 lim 2A'~"° x(l -cos Vx)(l + Vcosx) 2 x(l-cosVx)X .L X2 .解：原式= (1分)(2分)(4 分)(5A *分）e_t2 -l)dz = lim^ (3分)A ：3x（5分）.2HO3xe x - e xJ xf(x)dx = J Ad/(x) = VW-J /U)dr =xe x -2e x(2分) 4.解 1: (1)x = l e y+te y -+ = 0从而，1 + te y y（4分）（5分）< =方程¥4 + 1=（）网边对，导，得dy y; Z（3 分）所以，^"<_X2r-l ）当 r =0 时，x = 0，y = -1，因而，叱=釓也=点卜=> (5分)/=0（4分）故(5分)5. K = 2,dt dt 1+——2r —= 0dx d.ve >^ + Ze >^+dZ = ock dr dx(2分)四、（10分）解：/（0-0）= c，/（0+0）= 0，/⑼％因乂⑺在X = O处连续，所以C二0(3分)/(()) = lim^^ = lim^+fein^-0 =h =x-<r X x^cr X<v->o+X x->o+X=1 /CO在P0处一阶可导，所以6 = 1，(6分)f\x)2ax + cos x，x < 0,1，x = 0,1x〉0,（8分）r(0) = lim •广⑶—广⑼= lim 2妍敵卜1 =2^, •v->0 X.v->0 X-1/；(0) = lim 作卜y(0)= ii m I±XX X x(l+x)lim —x因/OO在X = G处二阶可导，所以2五、（7分）解：令/⑺。
湖南大学新生入学考试新版题库
湖南大学新生入学教育考试题库五、《我的校园我的家》题目（共100道题）1.岳麓书院讲学、藏书、祭祀、学田四大规制完全确立是在（C ）任潭州知州期间：A朱洞B周式C李允则D刘珙2.岳麓书院有史可考的第一任山长是（A）A周式B张栻C彪居正D吴猎3.岳麓书院大门悬挂的“岳麓书院”匾额出自哪位皇帝题写（D）A宋太宗B宋仁宗C宋神宗D宋真宗4.“南宋四大书院”是指（D）A徂徕书院、金山书院、岳麓书院、石鼓书院B嵩阳书院、睢阳书院、岳麓书院、白鹿洞书院C白鹿洞书院、石鼓书院、应天府书院、岳麓书院D白鹿洞书院、丽泽书院、象山书院、岳麓书院5.潭州三学是岳麓书院高等学府地位确立的重要标志，其由低到高依次为（A ）A潭州州学、湘西书院、岳麓书院B湘西书院、岳麓书院、潭州州学C潭州州学、岳麓书院、湘西书院D湘西书院、潭州州学、岳麓书院6.南宋时期岳麓书院的首任掌教是（B）A孙胄B张栻C彪居正D吴猎7.朱张岳麓会讲开辟了书院会讲制度的先河，其时间是在（C）A乾道四年（1168）B乾道五年（1169）C乾道三年（1167）D乾道六年（1170）8.御制《敬一箴》是由明朝哪位皇帝赐给岳麓书院的（A ）A世宗B武宗C神宗D孝宗9.岳麓书院正式确立为省会书院是在（B）时期A康熙B雍正C乾隆D顺治10.道光十三年（1833），湘水校经堂建于岳麓书院中，其时山长是（C ）A王文清B罗典C欧阳厚均D丁善庆11.岳麓书院改制为湖南高等学堂的时间是（B）（与校史类2相同，且答案有差异）A光绪二十八年（1902）B光绪二十九年（1903）C光绪三十年（1904）D光绪三十^一年（1905）12.岳麓书院最后一任山长是（B ）A徐棻B王先谦C俞鸿庆D熊希龄13.蔡和森肄业于（B）A湖南高等学堂B湖南高等师范学校C湖南公立工业专门学校D湖南公立商业专门学校14. 1953年全国院校调整，湖南大学改为（C ）A湖南工学院B湖南理工大学C中南土木建筑学院D长沙铁道学院15. 1926年省立湖南大学正式成立，其设立四科是（A）A理、工、法、商B理、工、法、文C工、法、商、文D理、工、商、文16.湖南大学正式开始招收研究生是在（B）A1942 年B1943 年C1944 年D1945 年17.湖南大学由省立改为国立是在（D）A1936年7月B1936年6月C1937年6月D1937年7月18.岳麓书院办学宗旨“传道以济斯民”是由（B）提出A周式B张栻C朱熹D王文清19.湖南大学校名是由（A ）题写A毛泽东B刘少奇C李达D朱德20.岳麓书院多次得到皇帝的赐额、赐匾，其中“学达性天”匾是由（B）所赐A顺治B康熙C雍正D乾隆21.岳麓书院多次得到皇帝的赐额、赐匾，其中“道南正脉”匾是由（D）所赐A顺治B康熙C雍正D乾隆22.提出“承朱张之绪，取欧美之长”办学宗旨的湖南大学校长是（C ）A李达B任凯南C胡庶华D易鼎新23.湖南大学列为国家“985工程”大学是在（D ）A1998 年B1999 年C2000 年D2001 年24.今日湖南大学共有多少个学院（A）A23 B22 C21 D2425.岳麓书院讲堂前“实事求是”匾是由（B ）所撰A程颂万B宾步程C皮锡瑞D梁焕奎26.湖大二院是西方古典主义建筑和中国传统官式建筑融合的典范，其设计者是（A）A刘敦桢B柳士英C魏春雨D蔡泽奉27.湖南大学有一所中国建筑师自己设计的Art Deco风格的建筑，它是（B）A湖大二院B工程馆C民国时期图书馆D第一学生宿舍28.湖南大学大礼堂的设计者是（B ）A刘敦桢B柳士英C魏春雨D蔡泽奉29.岳麓书院四箴亭是用来祭祀（C）A张栻B朱熹C程颐、程颢D周敦颐30.慎斋祠是用来祭祀山长（B）的专祠A王文清B罗典C欧阳厚均 D 丁善庆31. 被称为明末清初中国三大思想家之一的岳麓书院生徒是（B）A黄宗羲B王夫之C顾炎武D孙奇逢32.湖南大学校歌的曲作者是（B）A胡庶华B萧友梅C胡元倓D黄士衡33.岳麓书院讲堂现存的“忠孝廉节”“整齐严肃”碑是山长（D）所立A欧阳正焕B罗典C王文清D欧阳厚均34.“时常省问父母，朔望恭谒圣贤”出自《岳麓书院学规》，其制定者是（C）A欧阳正焕B罗典C王文清D欧阳厚均35.“读经六法”的制定者是（C）A欧阳正焕B罗典C王文清D欧阳厚均36.“读经六法”是经学研究的重要方法，其先后次序是（C ）A通义、余义、疑义、正义、异议、辨义B正义、通义、疑义、余义、异议、辨义C正义、通义、余义、疑义、异议、辨义D余义、正义、疑义、通义、异议、辨义37. 2009年考察湖南大学并以“此时、此地、此身”劝勉学生的国家领导人是（B）A胡锦涛B温家宝C李克强D习近平38. 时务学堂的首任总理是（A）A熊希龄B梁启超C康有为D谭嗣同39.“读史六法”的作者是（C ）A欧阳正焕B罗典C王文清D欧阳厚均40.明朝岳麓书院最后一任山长是（C ）A张元忭B王夫之C吴道行D刘自梃41.“读史六法”的先后次序是（C）A考时势、原治乱、论心术、取议论、记事实、玩书法B玩书法、记事实、原治乱、考时势、取议论、论心术C记事实、玩书法、原治乱、考时势、论心术、取议论D考时势、记事实、玩书法、原治乱、论心术、取议论42.培养了清代岳麓书院唯一一个状元的山长是（B）A王文清B罗典C欧阳厚均 D 丁善庆43.曾重赴鹿鸣宴的岳麓书院山长是（B）A王文清B罗典C欧阳厚均 D 丁善庆44.“中兴将相，十九湖湘”，其中大多肄业岳麓书院，其时山长是（C）A王文清B罗典C欧阳厚均 D 丁善庆45.《励志诗九首》的作者是（C）A王文清B罗典C欧阳厚均 D 丁善庆46.号称造士三千的书院山长是（C ）A王文清B罗典C欧阳厚均 D 丁善庆47.《六有箴》的作者是（A）A旷敏本B罗典C欧阳厚均 D 丁善庆48.“长沙阁老，季清巨儒，著书满家，门庭广大”是对（D ）的赞扬A王夫之B欧阳厚均C罗典D王先谦49.岳麓书院历史上著述最为丰富的山长是（D）A张栻B王夫之C罗典D王先谦50.《岳麓书院记》的作者是（B）A周式B张栻C朱熹D王文清51.《论湖南创设省立大学之必要》在湖大成立过程中发挥了重要作用，其作者是（D）A杨树达B李待琛C黄士衡D杨昌济52.被陈寅恪先生称赞为“赤县神州文字、音韵、训诂学第一人”的湖大老师是（D ）A曹典球B杨卓新C胡庶华D杨树达53.新中国第一任湖南大学校长是（A ）A李达B朱凡C易鼎新D柳士英54.曾三任湖南大学校长的是（C ）A曹典球B杨卓新C胡庶华D杨树达55.我国知名学术期刊《金属学报》的创刊者是（A）A李薰B胡庶华C慈云桂D梁焕奎56.被《宋史》称为“一时之英才”的书院肄业生是（B）A游九言B吴猎C彪居正D彭龟年57.《圣武记》的作者是岳麓书院生徒（D ）A陶澍B贺长龄C贺熙龄D魏源58. 下列制定过《岳麓书院学规》又不属于书院山长是（B）A李文焰B杨锡绂C王文清D罗典59.晚清收复新疆的岳麓书院生徒是（A ）A左宗棠B曾国藩C郭嵩焘D罗绕典60.被梁启超称为“五百年来的第一伟人”的是岳麓书院生徒（A ）A左宗棠B曾国藩C郭嵩焘D刘坤一61.湖南大学第一枚校徽的设计者是湖大学生（B ）A李薰B王强毅C易礼容D谢觉哉62.中国第一位驻外公使是岳麓书院生徒（C ）A唐训方B刘长佑C郭嵩焘D江忠源63.《使西纪程》的作者是岳麓书院生徒（C ）A唐训方B刘长佑C郭嵩焘D江忠源64.参与上奏《江楚会奏变法三折》的岳麓书院生徒是（A ）A刘坤一B郭嵩焘C曾国藩D曾国荃65.《仁学》一书的作者是（D ）A唐才常B沈荩C熊希龄D谭嗣同66. 组建自立军，发动反清起义的是（C）A沈荩B熊希龄C唐才常D蔡锷67.被誉为“再造共和第一功臣”的岳麓书院生徒是（B ）A熊希龄B蔡锷C程潜D沈荩68.“马克思主义史学五老”中肄业于湖南大学的是（D）A翦伯赞B范文澜C侯外庐D吕振羽69.《少年行》一诗饱含匡扶世艰之志，其作者是（B ）A邓中夏B蔡和森C王尔琢D谢觉哉70. “道林三百众，书院一千徒”反映了岳麓书院（B）时期的盛况A北宋B南宋C明代D清代71.学田是书院经费的一大来源，岳麓书院的学田最早出现在（D ）任潭州知州期间A朱洞B刘珙C朱熹D李允则72.湖南大学新校徽的设计是在（B）年A1985 B1986 C1987 D198873.湖南大学历史沿革排序正确的是（C）A湖南高等学堂、湖南工学院、湖南工专、国立湖南大学B湖南高等师范学校、湖南工学院、湖南工专、国立湖南大学C湖南高等师范学校、湖南工专、国立湖南大学、湖南工学院D湖南高等学堂、湖南工专、湖南工学院、国立湖南大学74.爱晚亭是中国四大名亭之一，其修建者为岳麓书院山长（B）A王文清B罗典C欧阳后D王先谦75.湖南大学第一枚校徽是在（D）担任校长期间设计A胡元倓B曹典球C黄士衡D胡庶华76.有“独治朴学，淹贯群籍，卓然为一代鸿儒”之赞的岳麓书院山长是（A）A王文清B罗典C欧阳厚均D王先谦77.湖南大学新校训诞生于（B）年A2000 B2001 C2002 D200378.湖南大学校歌诞生于（C）年A1931 B1932 C1933 D193479.清代岳麓书院考中状元的肄业生徒是（D）A胡达源B曾国藩C曹诒孙D彭浚80.“惟楚有才，于斯为盛”对联出自哪两人之手（D）A王文清胡达源B罗典曾国藩 C 丁善庆魏源D袁名曜张中阶81.有“两朝院士”之称的湖南大学教授是（B ）A李达B杨树达C黎锦熙D刘敦桢82.被毛泽东称赞为“理论界的鲁迅”的湖大校长是（A）A李达B杨树达C朱凡D易鼎新83.湖南大学民国时期的图书馆是当时长江以南规模最大的图书馆，其设计者为（D ）A刘敦桢B柳士英C魏春雨D蔡泽奉84.湖南大学老图书馆的设计者是（B ）A刘敦桢B柳士英C魏春雨D蔡泽奉多选题：85.书院建筑可分为几大部分，它们分别是（ABCD ）A藏书B教学C祭祀D园林86.被列为国家重点文物保护单位的湖大建筑有（ABD）A大礼堂B胜利斋C第一学生宿舍D科学馆87.六君子堂用来祭祀有功于书院的六位先贤，以下人物属于其中的有（ABC）A朱洞B刘珙C杨茂元D朱熹88.下列湖大景观属于“书院八景”的有（CD）A庭院春深B红楼映雪C柳塘烟晓D风荷晚香89.下列湖大景观属于校园新八景的有（AC ）A文津道岸B桐荫别径C登高自卑D曲涧鸣泉90.湖南大学新世纪的校训是（BD）A整齐严肃B实事求是C忠孝廉节D敢为人先91.掌教岳麓书院时间最长的两位山长是（BC）A王文清B罗典C欧阳厚均 D 丁善庆92.“湖南四王”中曾掌教或肄业岳麓书院的有（ABD）A王夫之B王文清C王闿运D王先谦93.清代考中榜眼的岳麓书院肄业生徒有（BCD）A胡达源B龚承钧C曹诒孙D尹铭绶94.《皇朝经世文编》是晚清经世思想的代表作，对其辑刊做出重大贡献的岳麓书院肄业生徒是（BD ）A陶澍B贺长龄C贺熙龄D魏源95.“中兴将相，十九湖湘”，其中肄业岳麓书院的有（ABCD ）A郭嵩焘B刘坤一C李元度D刘蓉96.湖南大学历史上出现了多为院士，形成了一个院士群体，其中有（ABC）A李达B杨树达C慈云桂D柳士英97.曾担任过时务学堂教习的有（ABC ）A叶觉迈B谭嗣同C熊希龄D沈荩98.建国前夕，并入湖南大学的一批大学包括（ACD ）A省立音乐专科学校B国立商学院C私立民国大学D省立克强学院99.以下属于岳麓诸儒的有（ABD）A游九言B吴猎C彪居正D胡大时。
本科生1
湖南大学课程考试试卷课程名称： 计算理论引论 ；试卷编号： ；考试时间：120分钟一 单选或填空题（10*3 = 30％） 下列叙述正确的是（ ） A.如果DFA 不接受任何字符串，则该机器识别的语言为{ε}. B.如果DFA 不接受任何字符串，则该机器识别的语言为φ. C.一个DFA 可以没有起始状态. D.一个DFA 的起始状态不能和接受状态相同. 2.下述（目前为止）肯定不正确的是（ ） A ．NP P ⊆ B. P NP ⊆ C.SAT 是NP 完全的 D.SAT 是NP 难的 3.下图中,存在的最大团顶点数为____ A.1 B.3 C.4 D.5 4.识别语言{0n 1n | n ≥ 0}的文法为__________5.下述表达不正确的是（ ）A.所有的RL 均是CFLB.所有的RL 均是图灵可判定的C.所有的CFL 均是图灵可判定的D.若语言A 是图灵可判定的,则A 和A 不全是图灵可识别的6.背包问题:max: p 1x 1+p 2x 2+…+p n x nSt: w 1x 1+w 2x 2+…w n x n <m (x i = 0或1)用动态规划在O (nm )时间解决，背包问题属于____问题.A. PB. NPC.NP 完全7.若判断某语言A 的多带图灵机所花费的时间为n +log n ,则判定问题A 的时间复杂度为（ ）A. O (n )B. O (log n )C.O (2n )D.O (n 2)8.若有A ≤ m B ,则下述叙述正确的是（ ）A.若B 可判定，则A 也可判定B.若B 可判定，则A 也不可判定C.若B 不可识别,则A 也不可识别D.A 和B 间的可判定性不存在任何关系9.若图灵机的当前格局为uaq i bv ,其状态转移函数为),,(),(L c q b q j i =δ,则下一格局为_______.10.若一个关系是自反,对称和传递的,则该关系为_____关系.二 DFA 的形式描述为({q 1,q 2,q 3,q 4},{u,d}, δ, q 3,{ q 3}),其中δ在下表中给出.试. (13%)三 (10%) 将下述公式转换为乔氏范氏S→AA | 0A→SS | 1四给出产生语言A={a i b i c k| i≥0,k≥0}的上下文无关文法，并判断其是否歧义.(10%)五证明：若A和A均为图灵可识别的，则A为图灵可判定的.(10%)六判断下述公式的可满足性，并说明原因.(13%)(x∨y)∧(x∨y)∧(x∨y)七令CONNECTED={<G>|G是连通的无向图},证明：CONNECTED P.(7%) 八证明：上下文无关文法（或语言）在交运算下不封闭.(7%)。
湖南大学课程考试卷
诚信应考,考试作弊将带来严重后果！3.What else can we use flowers to do apart from as gifts anddecorations?4.What are your neighbors like?5.Have your neighbors ever helped you?6.Many of my Chinese friends told me that they don’t knowtheir neighbors? Why is that?Part II Cue card presentation in written and oral form. (40 points.)Please think about the following topic and write a 2 minutes speech script and then record a 2 minutes speech on the same topic. You can make some notes to help you if you wish.Part III Further discussion. (30 points.)Please choose four from the following six topics and record a 4~5 minutes speech on the chosen topics.1.Do you think decision-making today is different to decision-making inthe past?2.In your country, how are decisions made within the family?3.Do you think it’s a good idea to make decisions when one is feelingstrong emotions or is it better to make decisions when one’s emotions are not strong?4.Should parents make decision for their children?5.What family decision should be discuss?6.Do women have more power to make a decision than before?。
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湖南大学课程考试试卷(开卷)
课程编号： ；课程名称： 机械CAD 技术 ；试卷编号: A ；考试时间：120分钟
8、以下说法不正确的是……………………………………………………………( ) A 、模型是信息的载体，信息完备的设计模型是现代CAD 技术的核心
B 、组合变换由多个基本变换复合而成，复合变换矩阵为各个基本变换矩阵的乘积，且与相乘的顺序无关。
C 、特征类是对特征的所有相同性质或属性的抽象概括，特征对象是特征类的一个实例。
D 、B-rep 模型是基于图的，所有的几何拓扑信息显式地表达在面－边－顶点图中。
9、以下不属于特征表示方法的是………………………………………………...( )
A 、基于B-rep 方法
B 、 基于特征的设计
C 、基于CSG 的方法
D 、 基于混合CSG/B-rep 的方法
10、设mat(1..12)=MATRIX/TRANSL,3,5,10，则mat(12) ……………………. ( ) A 、0 B 、3
C 、5
D 、10
三、简答题（8分）
11、三维形体的计算机几何模型有哪几种？各有哪些优缺点？（8分）
四、计算题（第12题8分，第13题12分，共20分）
12、试从Hermite 曲线定义的形式出发，利用三次B-spline 曲线的端点性质和Hermite 矩阵Mh ，推导出三次B-spline 曲线的矩阵表达式。
（8分）
题号 一 二 三 四 五 六 七 八 九 十 总分 应得分 10 10 8 20 20 16 16 20 100+20 实得分
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湖南大学课程考试卷 湖南大学教务处考试中心
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学号
姓名：
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一、填空题（每题2分，共10分）
1、参数化实体造型方法的基本特点是：
2、结构实体几何（CSG ）表示方法的基本思路是
——————————————————————————————— 3、STEP 英文全称是
其定义是 ———————————————————————————————
4、GRIP 命令的三种表示格式为
5、CAD 软件系统的二次开发工作，主要可以分为三种方式，分别为：
——————————————————————————————————————————————————————————————
二、选择题（每题2分，共10分） 6、可以进行局部修改的自由曲线是…………………………………( ) A 、Hermite 曲线 B 、B 样条曲线
C 、Bezier
曲线 D 、以上曲线曲线均可以
7、以下不属于平行投影视图的是……………………………………( )
A 、斜二测图
B 、三视图
C 、正等轴测图
D 、一点透视图
湖南大学
课程考试卷
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13、如下图所示，四面体的顶点坐标分别为：S(10,10,10)、S1(10,20,10)、
S2(10,10,20)、S3(20,10,10)，点G为三角形S1S2S3的重心，点J坐标为
（0,0,2.57）
（1）写出如图所示四面体S表面模型的链表数据结构；（4分）
（2）将线段SG通过平移和旋转实现与线段OJ重合，求可以实现此变换
的变换矩阵。
（结果可用矩阵连乘形式表示）（8分）
五、程序分析题（每题10分，共20分）
14、分析以下GRIP源程序，若点构造器确定点为(0,0,0)，参数输入时依次
输入4，4， 1，请画出本程序的运行结果。
（10分）
ENTITY/pt(10),ln(10),flt(2)
l10:
GPOS/'定义中心点',x, y, z ,resp
JUMP/l10:, hal:, , , ,resp
l20:
PARAM/'请输入参数','顶点个数',n,$
'直径',d,'倒角半径',r,resp
JUMP/l20:,hal:,,resp
IF/n-2,,,l30:
MESSG/'顶点个数必须大于2！'
JUMP/l20:
l30:
pt(10)=POINT/x,y,z
DO/l40:,k,1,n
pt(k)=POINT/pt(10),POLAR,d/2,360*K/n
l40:
DO/l50:,k,1,n-1
ln(k)=LINE/pt(k),pt(k+1)
l50:
ln(n)=LINE/pt(1),pt(n)
flt(1)=FILLET/XLARGE,ln(1),YLARGE, $
ln(2), RADIUS,r
flt(2)=FILLET/XSMALL,ln(3),YSMALL,$
ln(4), RADIUS,r
hal:
HALT
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湖南大学课程考试卷
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15、仔细阅读下面的GRIP 源程序，改正程序中的错误。
要求：在题中程序中直接改正，不得删除任何一行程序。
（10分）
1 ENTITY/cr(8),pt(2),pt1
2 NUMBER/ptv(3),mat(5,12)
3 DATA/d,8
4 l10 *
Error no. 1 in line no. 4: Syntax error.
5 POS/'Define a point',ptv(1),ptv(2),ptv(3),resp
6 JUMP/l10:,hal:,,,,resp
7 pt1=POINT/ptv(1),ptv(2),ptv(3) 8 l20:
9 PARAM/'请输入参数','外圆直径',d 10 JUMP/l20:,hal:,,rsp 11 IFTHEN/d<8
12 MESSG/'直径不能太小' 13 JUMP/l20:
14 cr(1)=CIRCLE/CENTER,pt1,RADIUS,d/2
15 cr(2)=CIRCLE/CENTER,(pt(1)=POINT/2,0),RADIUS,0.25 16 mat(1,1..12)=MATRIX/TRANSL,-1,0,0 17 mat(2,1..12)=MATRIX/XYROT,45
18 mat(3,1..12)=MATRIX/mat(1,1..12),mat(2,1..12) 19 cr(3)=TRANSF/mat(3,1..12),cr(2) 20 cr(4)=GROUP/cr(2..3)
21 mat(4,1..12)=MATRIX/XYROT,90 22 cr(5)=TRANSF/mat(4,1..12),cr(4) 23 cr(6)=TRANSF/mat(4,1..12),cr(5) 24 cr(7)=TRANSF/mat(4,1..12),cr(6)
25 mat(5)=MATRIX/TRANSL,ptv(1),ptv(2),ptv(3)
26 cr(8)=TRANSF/mat(5),cr(4..7) 27 delete/cr(2..7) 28 hal: 29 HALT
Error no. 70 PARAM in line no. 9: Invalid field.
Error no. 82 in line no. 25: Too few subscripts in array reference. Error no. 82 in line no. 26: Too few subscripts in array reference. Error no. 86 in line no. 29 (): Unmatched ELSE, ELSEIF, or ENDIF. Error no. 63 in line no. 29 (L10 ): Undefined label.
六、编程题（16分）
16、编写一个生成实体的GRIP 源程序，实体的二维示意图如下图所示。
要求程序具有人机交互界面，图中纵向孔数t1，横向孔数t2以及孔径d 要求能够实现参数化驱动，并且具有一定的容错功能，图中参数为输入参数时的默认值。
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七、综合题（16分）
17、要求使UG实体绕空间任意点P(x,y,z)在平行于绝对坐标系的oxy平面
内旋转指定角度θ。
(1)运用图形的变换理论求出变换矩阵；（结果可用矩阵连乘形式表示6分）
(2)设UG实体为ent1，编写GRIP程序实现变换，要求采取用户交互的方式
输入P(x,y,z)、θ。
（10分）
附加题（20分）：如图所示某测试装置底座，A、B是Bezier曲线沿中心线
方向扫掠得到的柱面，且关于中心线对称。
K向视图中底座柱面的轮廓线是以
200×115矩形的四个角点P0、P1、P2、P3为特征多边形顶点的Bezier曲线。
求：
(1) 计算图中C、D两个尺寸（不可以从图上直接量取），并标注在图上；
(2) 用GRIP编写生成该底座三维实体模型的程序。
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