沈阳工业大学3001机械动力学2019年考博真题
同等学力《机械工程》2019年真题
第一部分必考题（两组，共60分）A组（共30分）一、填空题（每空1分，共8分）1、对于线性系统，在时域中用线性常微分方程描述系统的动态特性，在复数域或频域中，用和来描述系统的动态特性，机械工程控制主要研究及其和之间的动态特性。
2、在时间响应中，瞬态响应反映了系统响应的和，稳态响应反应了系统响应的。
二、简答题（每小题3分，共12分）1、简述建立系统微分方程的一般步骤。
2、简述系统稳定性的概念。
何谓奈韦斯特图，他有什么特点。
3、从特征根的角度论述系统稳定性的判别方法。
4、当系统输入为单位脉冲B组（共30分）一、填空题（每空1分，共8分）1、现代机械系统动力学中，响应预结问题是已知和求的问题。
在单自由度有阻尼自由振动系统中，为使系统不产生振动，阻尼系数c与质量m和弹簧刚度k之间满足关系式，这种系统称为系统。
2、机械运转中产生惯性载荷主要会带来三种不理影响，（1）机器在机座上的（2）传动系统的（3）降低。
二、简答题（每小题3分，共12分）1、简述振动系统主要*在振动系统中的作用。
2、简述动力减震器的基本原理。
3、简述多自由度振动系统模态分析法的基本思想。
4、简述机构平衡中质量代换应满足的三个条件。
三、计算题（10分）如下图直径为d，长度为L的杆一端固定，另一端连一个转动惯量为T的圆盘，试建立该扭转振动系统的运动微分方程，并写出其固有频率表达式（提示不计杆的质量，杆的扭转力矩T与扭转角θ的关系式为T=(GIn/L)θ,式中的G表示杆的剪切弹性惯量，In表示杆的极惯性矩，图形截面的In=πd4/32）第二部分选考题（两组，共60分）C组一、填空题（每空1分，共8分）1、交流伺服电机本身的机械特性表现为控制信号不变，转速增加的。
2、应变片的工作原理是，应变片一般需要进行补偿。
3、稳定转速的测量较易实现，但对其转速进行动态测量时，可使用。
4、采用齿差调除法调整滚动丝杆轴向间隙和施加预紧力的优点是。
5、数控机床设计思路是根据要求进行总体布局设计，再进行结构设计。
沈阳工业大学机械制造技术基础复试历年真题汇编考研真题
华南理工大学机械制造技术基础考研复试真题答案经验一年的考研，最后成功考上实属不易。
也获得了考研帮和各位师兄师姐们的帮助，写这篇贴为了感谢那些帮助过我的好心学长学姐，和反馈学弟学妹。
我考的是机械工程专硕，复试笔试是机械制造技术基础。
今年笔试题目变化较往年较大的，之前复习好多没用。
面试的话，这边老师蛮好的，一般都不会为难你的。
笔试篇(两个小时)20道选择题，每个一分1.merchant公式是最大剪应力2.激光加工不能加工哪种金属3.影响切屑类型的主要因素。
4定位的题。
5.冷作硬化产生什么残余应力……15道判断题.每个一分1.其他条件不变，变形系数越小，切削力小2.影响切削力的主要因素是切削深度3.没有限制六个自由度为欠定位4工件夹紧了就是限制六个自由度5.麻花钻前角变化很大，有正到负时，会使切削性能下降……5道简答题每个五分1.磨削烧伤原因和磨削烧伤的形式2.积屑瘤的原因，和避免机械瘤的方法3.给出T=60min V=80m/min T=15min V=100m/min 求T=100min V=?4.主运动，进给运动分析，两张图，一张樘削，一张磨削。
5.工艺系统的刚度，及其特点3道分析题1.钻床夹具题有三问a.图为什么夹具.怎么与机床定位(6分)b.定位原件有哪些？限制几个自由度(6分)c.装夹过程(7分)2.画出三个变形区的示意图，并分析切屑的受力平衡过程。
12分3.套筒类轴的加工工艺过程。
10分面试篇(29号上午8:30-11:30)今年顺序是按成绩来的，即第一组第一个是第一名，第二组第一个是第二名依次类推。
我当时是第一组的第三个进去的，当时在外面蛮紧张的，一直在背自我介绍。
(这个很正常，不必太担心)。
进去之后，有一个老师要我英语自我介绍，然后读并翻译一段文章(大概A4纸的一半，内容讲的机器人)。
讲完了后，又问了我大学生责任，传感器有哪些，改进工艺轴，画曲轴结构，实习工厂，电脑冲压成型，轴热处理工艺等等。
2019年沈阳工业大学2019年博士招生考博英语考博真题(Word可编辑)
沈阳工业大学2019 年博士研究生招生考试题签(请考生将题答在试题紙上，答在题签上无效）Part I Vocabulary (15 points, 0.5 for each)Directions: In this section, there are 30 sentences, each with one word or phrase underlined. Choose the one from the 4 choices marked A, B, C and D that best keeps the meaning of the sentence. Then mark the corresponding letter with a single line on the ANSWER SHEET1.The of AIDS has led to an expansion in research seeking a cureA. InnovationB. selectionC.proliferationD.Conviction2.Most importantly, such an experience helps a heightened sensitivity to other cultures andwill bring about a greater appreciation of one's own culture as wellA.containB.fosterC.discoverD.censor3.The talks between China and Japan were the base of the later agreementsA. InitialB.finalC. terminalD. primitive4.Metals we found in the earl iron, lead , and copper.priseB.containC.concludepose5.Tom give me a new bicycle as for the one he lost.A.substitutpensationC.rewardD.bonus6.Over the past ten years, natural gas production has remained steady, but has risen steadily.A.ConsuinptionB.disposalC.ConditionD.disposition7.The Brons lived in a and comfortably furnished house in the countrysideA.spaciousB.sufficientC. EfficientD. Constant8.David was by his family because he worked with a gang of criminals to rob the commercialbank.A. AbolishedB.diminishedC.desertedD.dismissed9.The talks between the two leaders have reached a stage.A.criticalB.criticismC.desertedD.dismissed10.These goods are for export, though a few of them may be sold on the home market.A. essentiallypletelyC.necessarilyD.remarkably11.We love peace, yet we are not the kind of people to any military threat.A.yield upB.yield toC.yield inD.yleid at12.John used to his teacher's tone and gestures to make his classmates laugh.A.imitateB.stimulateC.initimateD. Resemble13.The professor the translation of a German novel.A.is engaged withB.is busy inC.is occupied withD.is absorbed to14. The findings appears to the laws of physics.A.violentB.ViolateC. V oluntaryD.violet15. It is rather that we do not know how many species there are in the worl D.A.embarrassingB.boringC.demandingD.Violet16. Science is still largely the causes of man kinds of cancer.A.ignorant ofB.ignorant aboutC.ignorant withD.ignorant to17. In the first several years of our economic reform, many military factories have been into civil ones in order to meet the needs of the country.A.changedB.TransformedC.ConvertedD.Altered18. Some plants are so pollution that they can only survive in a perfectly clean environment.A.sensitive toB.sensible toC.sensitive againstD.sensible against19. Don'teat choclate; it will spoil your dinner.A.Desire forB.hunger forC.appetite forD. Eager for20. To help these difficulties, some organizations have opted to group together machines that process parts which have a large set of common characteristics.A.prevailB.overcomeC.overpowerD.Defeat21. Some people find it helpful to have something to do with their hands, like , or playing witha bunch of keys.A.knittingB.BeatingC.meetingD.dining22. Althougu many experts agree that more children are overweight, there is debate over the best ways to the problem.A.pursueB.TackleC.DistinguishD.ultimately23. He has held hundreds of meetings and spent whole weeks resolving these tricky problems, but he has faile D.A.ideologicallyB.personallyC.skepticallyD.Ultimately24. Drider says it is only since Sarkozys government began discussing the matter that she has been insults, harassment and death threats.A.objected toB.inferior toC.confined toD.subject to25. Artists should cultivate their own style rather than always imitating others.A.singleB.IndividualC.privateD.separate26. The new discovery of oil is to the country’s economy.A.SignatureB.significantC.signD. significance27. After the , the employer concluded that she was suitable for the position.A.audienceB.encounterC.interviewD.arrangement28. If businessmen are taxed too much, they will no longer be motivated to work hard, with the result that income from taxation might actually .A. ShrinkB.delayC. DisperseD. Sink29. He hated wandering about and expected to find a position in the Civil Service of government.A.ExcessiveB.AccidentalC.equalD.permanen30. Doctors and researchers have to keep themselves on the latest developments in their sphere of study.A.ConvincedB.IsolatedC.HumiliatedD.updated Part IL Cloze (15 points, 1 for each)Directions: There are 15 blanks in the following passage. For each blank, there are four choices marked A, B. C and D. You should choose the ONE that best fits into the passage. Then mark the corresponding letter on the Answer Sheet with a single line through the center.Predictions of large populations of robots in industry have yet to come true. For a decade ormore, manufacturers of big robots have explained how their machines can make industry more competitive and productive. The market for 31 robots is now oversupplied, and the driving force of the robotics revolution is 32 to be with makers of machines that handle a few kilos at most.Heavy-robot manufacturers are in some difficulty 33 finding customers. They are offering big 34 just to get in the door. There has been a disappointing growth everywhere in the numbers of robots, so have to admit we are either deceiving 35 or that the market is slowly growing, "said John Reekie, Chairman of Colne Robotics. The following things must happen 36 the robotics revolution to occur. We must achieve widespread robot literacy (文化), 37 there has been a computer literacy program, there must be a robot literacy campaign. We must also achieve not just a cut in, but a collate of robot prices. Finally, some ki of artificial intelligence needs to be 38 .Colne makes educational robots and machine tools. It is small 39 with companies like ASEA. But Colne with others and departments in universities such as Surey, Manchester, possesses an advantage 40 the giants. The big companies sell very expensive robots to businesses with expert knowledge in automation. The 41 companies make robots for teaching people, and now they have realized there is a need for small, 42 robots thatThe little companies either bring their educational machines 43 an industrial standard or design from scratch. One technique that they all adopt is to choose _ 44 components where possible. The major cost of making both their models is the electronics, which will fall in price. There is 45 scope for reductions in mechanical costs. The use of standard parts, which are easily replaced, should give these robots mechanical life of something in the order of five years.31. A.small cational C.big D.business32. A.claimed B.called C.said D. told33. A.to B.with C.over D.in34. A.money B.discount C. prices D.costs35. A.ourselves B.customers panies 37. A.as if B.even though C.just as D.although38. A.capable B.possible C. probable D. available39. pared paring C.contrasted D.contrasting40. A.than B.above C.over D. from41. A.other B.big C.small D.robot42. A.expensive B. artificial cational D. low-cost43. A. up to B.to C. in D. about44. A. mechanical B.standard C.cheap D.small45. A. more B.less C. no D. leastPart Ill. Reading Comprehension (30 points, 1.5 for each)Directions: There are four passages in this part. Each of the passages is followed by five questions or unfinished statements. For each of the questions there are four choices marked A, B, C and D. Choose the best one and mark your answer on the ANSWER SHEET with a single line through the center.Passage oneSome pessimistic experts feel that the automobile is bound to fall into disuse. They see a day in the not-too-distant future when all autos will be abandoned and allowed to rust. Other authorities. However, think the auto is here to stay. They hold that the car will remain a leading means of urban travel in the foreseeable future.The motorcar will undoubtedly change significantly over the next 30 years. It should become smaller, safer, nc more economical, and should not be powered by the gasoline engine. The ear of the future should be far more Pollution-free than present types.Regardless of its power source, the auto in the future will still be the main problem in urban traffic congestion ne proposed solution to this problem is the automated highway system.When the auto enters the highway system, a retractable arm will drop from the auto and make contact with a rail, which is similar to those powering subway trains electrically. Once attached to the rail the car will become electrically powered from the system, and control of the vehicle will pass to a central computer. The computer will then monitor all of the car’s movements.The driver will use a telephone to dial instructions about his destination into the system. The computer will calculate the best route, and reserve space for the car all the way to the correct exit from the highway. The driver will then be free to relax and wait for the buzzer that will war him of his coming exit. It is estimated that an automated highway will be able to handle 10,000 vehicles per hour, compared with the 1, 500 to 2,000 vehicles that can be carried by a present-day highway46. One significant improvement in the future car will probably beA. Its power sourceB. its driving systemC. its monitoring systemD. Its seating capacity47. What is the authors main concern?A. How to render automobiles pollution-freB. How to make smaller and safer automobilesC. How to solve the problem of traffic jamsD. How to develop an automated subway system48. What provides autos with electric power in an automated highway system?A. A railB. An engine.C. A retractable armD A computer controlle49. In an automated highway system, all the driver needs to do isA. Keep in the right laneB. Wait to arrive at his destinationC. Keep in constant touch with the computer centerD inform the system of his destination by phone50. What is the authors attitude toward the future of autos?A. EnthusiastB. PessimisticC. Optimistic.D. Cautious.Passage TwoWhile jobs in science, technology, engineering and math (STEM) professions may be plentiful, many teenage unwilling to pursue a long-term career in these fields. According to a new survey, in sixth through twelfth grade felt that careers as doctors and engineers would offer the most job opportur college, but 67 percent were of two minds about whether they would pursue these careers, due to a multitude of difficulties involved.Chief among the challenges is the cost and time it takes to get a degree. According to this survey, 26 percent of respondents felt that the cost and difficulty of pursuing professionally qualifying education in these fields were too high compared with other fields. Additionally, 25 percent of students felt that these career paths were too challenging and involved too much studying.Careers as doctors and engineers were not the only places where students saw opportunities, though. According to the survey, the three career fields offering the greatest opportunity were doctors, engineers and teachers, followed by lawyers and entrepreneurs.“It's encouraging to se that more students see the value of STEM careers like engineering, but clearly STEM) ofessionals and educators can be doing more to support students along this career path, "said Jim Rooney, ASQ chair and quality engineer with ABSG Consulting That is because 25 percent of teenage respondents stated their grades in math and science arent good enough to pursue a future career in those subjects. For once, parents agreed with their children, as 53 percent of parents who responded in a similar survey were worried about the challenges these fields presented to their children. Just over al quarter of parents, 26 percent, also felt that teachers were not preparing their children enough for future careers in STEM fields.Another factor contributing to the non-pursuit of STEM jobs is the growing gender gap in education. Accord to this survey, 30 percent of girls stated that math was their most challenging subject, compared with 19 percent boys. Additionally, 33 percent of girls admitted they felt teachers did not prepare them enough for future careers in STEM careers, compared with just 9 percent of boys.The information in this survey is based on the responses of 713 students and a complementary survey of 327 parents with children between the ages of 10 and 17.51. Many students are reluctant to take up STEM jobs because of the following EXCEPTA. The hard work needed along the career pathB the high tuition they have to pay at collegeC the few work opportunities related to STEMD. The long time taken to get the acadcmic degree52. According to this passage, most students believe that careers as doctors and engineersA. Are really worth pursuingB. Promise easy employmentC. Have nothing to do with mathD. Offer fewer opportunities than lawyers53. According to Paragraph 4, Jim Rooney would like toA. advise students not to take up STEM jobsB. Become a STEM professional himselfC tell STEM professionals to learn moreD see students get more help into STEM careers54. The growing gender gap mentioned in Paragraph 6 refers to the finding thatA. Fewer girls want to engage in STEM careers than boysB. More girls hope to take up STEM than boysC. There are far more male students than female onesD. Boys are more likely to get Stem-related jobs55. This passage is intended toA encourage students to undertake STEM jobB. Describe the difficulty facing STEM studentsC. Introduce the result of a survey on STEM jobsD help college graduates to find STEM jobsPassage ThreeMost people believe the key to happy and productive retirement years is staying healthy. Yet, it's not just about diet and exercise. How you manage your money often determines your level of stress, which, if too high, may lead to chronic health problems like heart diseases.So you'll have to do more than switch to whole wheat and start jogging every day. Your health also depends on feeling good about and in control of your finances. Not a lot of people understand that-and relatively few are doing much about it.In a survey, Principal Financial found that just 48% of American workers are monitoring their spending do from 58% two years ago. Fewer are reevaluating their investments, and while more are using a budget, the rate is still low at just 28%. In other words, they are casual about their money Most American workers see the link between wealth and health as one directional: Staying healthy is the ticket to saving on health care costs and to financial security in retirement. In the survey, 84% said being physically health is good for their financial future and 76% said if they spend money on their health or things they enjoy now they will avoid major health costs later in life.Yet it's not that simple. Good health comes with its own financial demands. Living healthy means living longer, which is wonderful. But without a traditional pension or other source of guaranteed lifetime income how will you pay for all those extra years? You'ii need to save tens of thousands of dollars more than you may have figured in your lifetime-and still there is no guarantee you won't need costly, end-of-life services.None of this is to say that living longer and healthier isnt a blessing, and probably even less a demand on your resources than developing chronic illness and passing away early. But the link between financial health and physical health goes both ways. In the survey, workers were far more likely to rate themselves physically healthy (53%) than financially healthy (31%), suggesting theysee it as a one-way street. But it's also the case that feeling in control of your wealth-no matter how much you have-leads to better health.56. In the first paragraph, the author expresses the belief thatA. Nothing but diet and exercise determines healthB. Diet and exercise have nothing to do with healthC. Health after retirement depends on money aloneD. Wealth also plays a role in staying healthy57. Which of the following statements is true about the workers surveyed?A. They don, t care about their retired life at allB. They believe wealth means a happy retired life.C. They are not in control of their moneyD. They have to save money now for future health58. In the last paragraph, "one-way street"probably means.A. Financial health leads to physical healthB. Physical health leads to financial healthC. financial health equals physical healthD. Financial health repels physical health59. The author is very likely to argue in the last paragraph thatA financial health and physical health are mutually dependentB neither wealth nor health makes any difference to happinesC. Physical health depends on nothing but financial healthD taking care of your wealth will not lead to better health60. The author of this passage intends to argue thatA staying healthy is impossible without accumulating much wealthB being physically healthy can eventually contribute to your wealthC feeling good about your finance is also of health benefitD. A large fortune will increase the chance of deterioration of healthPassage FourThe value a healthy environment provides is invisible in the global cconomy, leading to ecosystem degradation and species loss, according to the Economics of Ecosystems and Biodiversity (TEEB) study released recently. For example, bees and other insects jumping from flower to flower provide an essential service for crop production. Valued at an astonishing $200 billion.As the value is inconspicuous, we tend to ignore it. However, the"broken"financial system must be reformed o that the environment and the valuable services it provides are incorporated into every decision and ansaction, the report concludes. That is vital not only for slowing environmental destruction and species loss, but for modern economics to flourish, Sukhdev, leader of the study, said.While most cost enefit analyses look at natual resoures that can be extracted, such as gold, timber and food, those products only account for one-third of the total economic value provided by the environment, the report said, other "ecosystem services", such as pollination, forests fltering drinking water and wetlands providing flood protection, make up the other two-thirds.Currently, businesses do not pay for the loss of services caused by production or development. Estimated at 2.2 I trillion annually for the top 3, 000 listed companies, those costs are passed onto society, or externalized."We are at a stage now where the rate of loss of ecosystem services and the rate of loss of biodiversity is so severe we can not treat them as mere externalities of economics. Said Sukhde.To internalize environmental values and crops. The TEEB report recommends implementing a variety of financial tools, such as charging for services, creating environmentally friendly markets with eco-labelling and providing financial incentives and subsidies for environmentally friendly businesses.Normal business practices should report negative environmental extemalities and offset their impacts so they have a net zero impact, or even a net positive impact, the report said. And subsidies for industries harming the nvironment, such as fossil fuels, should be phased out.Environmental protection can also save money, according to the TEEB report. For example, New York more than S 6 billion by paying farmers about SI billion to change management of runoff to reduce the water pollution, rather than build a S 6 billion to S& billion waste water treatment plant that would have cost between S 300 million and $500 million a year to operate.But convincing board rooms and consumers across the globe to start paying for things that have been free in the pasl is L guing to be easy Sukhdev said it is not going to happen overnight--new, emerging models will begin to compete with old, lingering ones.“ it could happen, but not in today’s environment,”said Patrick micbaels, a senior fellow in environmental studies at the cato institude. "Right now, people-and it's not just the U.S--people are worried about economic contractions more than they are about environmental protection.”61. The example of bees and other insects in the first paragraph is used to illustrate thatA. Those insects play an essential role in crop productionB. They are essential for the global economy as well as the environmentC a healthy environment provides inconspicuous value in the global economyD insect activities have a crucial impact on global ecosystem and biodiversity62. Why must the"broken" financial system be reformed according to the report?A. The value environment provides should become visible in the global economy.B. Ecosystem services should be considered when making decisions in businessC. The current economic value provided by the environment tends t be ignoredD. To reform the "broken "financial system is vital to slow ecosystem degradation63. What do we learn about the loss of ecosystem services?A. It can be seen as an externality of economicsB. It is estimated at S 2.2 trillion every yearC. It is transferred to society or externalizedD. It is caused and paid for by businesses.64. What does the TEEB report suggest on handling environmental values and costs?A. Carrying out a succession of financial measures.B. Punishing farmers for changing management of runoff.C. Providing financial support for both businesses and farmersD. Increasing subsidies for environmentally disabled industries65. What can we know from what Patrick Michaels said in the last paragrap?A. People are worried more about economy than the environment.B. Nowadays it is hard for people to pay for what used to be freeC New emerging models will take the place of old ones in the endD. Right nowz the global economy is prosperous rather than depressedPart IV Put the following into Chinese. (15 points)My goals in writing this book are twofold.First, I hope to paint a picture of what it was like to serve as president for eight straight years. My conviction is that it is virtually impossible to reach definite conclusions about my presidency for several decades. The passage time allows passions) l, results to clarify, and scholars to compare different approaches. This book contribute to studies on this period in American history.Second, I gave an exhaustive account of the options I weighed and principles I complied with to give you better sense of why I made the decisions I did. This book is primarily based on my recollections. If there inaccuracies, the responsibility is mine.Part V Essay Writing (25 points)Write a composition of about 200 words on the following topic:My Viewpoint on Wide-spread WechatYou are to write in three parts.In the first part, make a description of the popularity of Wechat with examplesIn the second part, illustrate your views on the advantage and disadvantage of Using Wechat In the last part, bring what you have written to a natural conclusion or a summaryMarks will be awarded for content, organization, grammar and appropriateness, Failure to follow the instructions。
沈阳工业大学2020年《3001 机械动力学》考博专业课真题试卷
题（二、1）图
2．假定 k1 k2 k3 k ， J1 J2 J ，求系统的固有频率和主振型，并解释其物理意义。（20 分）
题（二、2）图
3．重物 m1 悬挂在刚度为 k 的弹簧上，并处于静平衡位置，另一重物 m2 从高度为 h 处自由落到 m1 上无弹跳，
如图所示，求其后的运动。（20 分）
题（一、2）图 3．扭转振动系统如下图所示的，使用刚度系数法建立其振动方程。（10 ）
题（一、3）图
科目名称：机械动力学 4．求图示摆的柔度系数。（10 分）
第2页共2页
二、综合计算题（共 60 分）
题（一、4）图
1．一均质杆质量为 200kg ，两端用弹簧支承，总长度为 l 1.5m ， k1 18kN m ， k2 22kN m ， Ic ml 2 /12 ，试确定系统的固有频率和模态矩阵。（20 分）
沈阳工业大学
2020 年博士研究生招生考试题签
（请考生将题答在试题纸上，使用“学习通”APP 拍照上传）
科目名称：机械动力学 一、基本计算题（共 40 分）
1．求振动系统的等效刚度，其中 B 点处的变形为： yB Gl 3 3EJ 。（10 分）
第1页共2页
题（一、1）图 2．求振动系统的固有频率，悬臂梁在其自由端的挠度为： yl Gl 3 3EI 。（10 分）
题（二、3）图
沈阳工业大学2020年《2001 数值分析》考博专业课真题试卷
为A =
，矩阵范数 A 与向量范数 x 相容指的是
。
v
v
v
5、 设有方程 f (x) = 0 ，则求该方程单根的牛顿法的迭代格式为
，若 x 是此方程的重根，
且已知重数为 m ，则求 x 的具有二阶收敛性的牛顿法迭代格式为
。
二、（16 分）简答题
b
n
1、设有积分 I = a (x) f (x)dx ，其中 (x) 是权函数， In = Ak f (xk ) 是求积分 I 的插值型求积公式。
科目名称：数值分析
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2、 对于下面给定的数据 (xi , yi ), i =1, 2,3, 4,5 和给定的权 i , i = 1, 2,3, 4,5 ，利用最小二乘法求形如
p(x) = a + bx2 的拟合多项式。（10 分）
xi
-2
-1
0
1
2
yi
0
1
2
1
0
i
0.1
0.2
0.4
f
(4) ( 4!
)
(x
−
x0
)2
(x
−
x1)2
，其中
( x0 ,
x1)
且与
x
有关。
（6 分）
b
2、 设有积分 I = a f (x)dx ， 被积函数 f (x) 在[a,b] 上连续， Sn 是将区间[a,b] 作 n 等分之后所得的复化
辛普森求积公式。请推导
S
n
的表达式，并证明
lim
n→
Sn
0.2
0.1
3、 设有方程组
4xx11
+ +