2020研究生数学二真题

2020 全国硕士研究生入学统一考试数学二真题详解（1）求概率 P{T > t} 与 P{T > s + t T > s}，其中s > 0, t > 0 . （2）任取n 个这种元件做寿命实验，测得它们的寿命分别为t1,K, tn ，若m 已知，求q的最大似然估计值。

2020考研数学一二三的真题（完整版）已经整理，答案在后面，仅供大家做估分参考，不论好与坏已成定数，请大家保持良好心态！数一完整版真题数二真题完整版数三真题（完整版）都说偶数年的数学难，没想到今年心态爆照，我们考场有好几个上午考完数学，下午直接就没来的。通常每年到第二天，大家都非常担心，因为有数学这个大老虎，只是今年的格外的难。对于山村这种数学学渣而言，难于上青天。因为不仅难考，还看不到希望，下面我们来看看大家考完后的留言吧。数二考生的回忆数学一：数一一直是考研数学中的老大哥，我今天上去就在选择题的最后一道上卡了很久，可惜啊！就是不忍心放手，越纠结就越完蛋，但是就是纠结啊！数学二：今天题目还行，考卷的手感不错，就是这桌子有点不好，自己小趴着睡难受啊！数二第一题斜渐近线我感觉自己的基础不够扎实，多半是错了，空了三个大题，其它能编的都编了，明年我得在上考场！数学三：我出来了，感觉难度可以再高一点，反正我也不会，又来摸了摸面值180元的试卷纸！可是我是只听了基础课自己也没做几个题去的，高数大题看着都貌似做过类似的题，我没写几个题，因为我都忘完了。真是大家都发现好难，其实现在已经结束了，大家应该好好休息了，毕竟奋斗了这么长时间了，我要回去补觉觉去，不过大家也不要担心，毕竟宇哥已经发话了今天上午，2020考研数学一已经结束了，经过一段时间的整理，小编已整理并公布出2020考研数学一真题及答案+解析，感谢各位同学的耐心等待，并希望此内容有助于大家。

初试定资格，复试定结果，虽然初试考试已经结束了，但是复试是第二关卡，不要掉以轻心哦，好好准备复试，等一切尘埃落定后，再去欢呼，再去放肆也不迟，现在还是要以大局为重，即便不知道成绩的情况下，积极准备复试也是一种经验的积累，万一过了复试线就用到了，加油吧。下面是2020考研数学一真题及答案解析，一起来看看吧。来源：文都（免责及版权声明：仅供个人研究学习，不涉及商业盈利，如有侵权请及时联系删除，观点仅代表作者本人，不代表本号立场）

2020年研究生入学考试，数学二考了128分，这样备考着实不太容易。对于比较关注研考信息的同学来说，在2020年的研究生入学考试中，数学的难度想必大家是有所了解的，无论是数学一还是数学二，其难度都是近几年来较难的一年。有人说，16年的研究生入学考试数学就比较难，还有人说，09年的难度也超乎想象，无论怎么说，2020年的研究生入学考试中，数学较难应该可以成为大家的共识。对于参加研究生入学考试的理工科的同学来说，数学是绕不过去的槛，不是考数学一就是考数学二。数学二还好，在以往试卷难度一般的年份，很多认真备考的同学，数学二考个一百二三十分还是不算什么的，就是考140分以上也大有人在。而今年就有所不同，由于试卷难度的增加，数学二能上110也很难，超过130分可以说是奢望。小程同学参加了今年（2020年）的研究生入学考试，考的是数学二，考了128分，从结果来看，算是圆满，但从小程同学介绍的备考过程看，着实不太容易。理工科的学生，高等数学是必修课，由于专业要求不同，对数学学习的难度有所不同，其主要的区分就是学习知识的多与寡、知识的深与浅，参加考研时，区别就是考的是数学一还是数学二。小程同学的专业，对数学的要求相对较低，研究生入学考试考的是数学二，其备考2020年的研究生考试，数学是这样备考的。3月份——6月份：结合教程，再次熟悉知识体系。在大学学习期间，虽然同学们学习了高等数学，但是由于都是在大一或大二学的，时间间隔较远，其知识相对比较陌生，更没有形成较为系统的知识体系，对于应考显然是不够的。为了系统地掌握研究生入学考试所要求的知识体系，再结合教程重新回归课本显得尤为重要。小程同学为了方便，买了一本数学二的教程，每天有计划的看看知识点，并结合课后的练习题，巩固知识点的掌握，这样从3月份直到6月份，用了大概四个月的时间。7月份——考前一个月：专心做习题集，查缺补漏，巩固知识的掌握。大家知道，对于理科学习的科目，练习是必须的，是查找自己知识漏缺的重要一环。小程同学从7月份开始，也就是熟悉了数学二的知识体系以后，买了一本1800道的习题集，从头至尾做了一遍。当然，小程同学在做习题集的过程中，也遇到了许多不会做的题，对于不会做的习题，便结合答案看一看、算一算。大家注意，在做习题的过程中，亲自动手列式运算至关重要，只有自己动手列式运算的题，才能算是自己做过的题，而通过看答案弄懂的题，并不一定就真的懂了。考前一个月：做历年真题，近几年的做了两遍。历年真题的训练，能让考生更好地把握考试的方向，同时注意合理的时间分配，也是对考前状态的调整。从以上的对数学研考的备考过程来看，的确不容易，如果能够实打实的做到了，想必结果是会令你满意的。如果大家希望读到更多关于教育类的文章，敬请关注，进入主页查看。

浅谈2020年高考理科数学二卷真题―球心到平面的距离计算本题考查的是球心到平面的距离，属于高中数学立体几何重要考点。具体分析思路如下：第一、首先根据等边三角形面积公式四分之根号3倍边长的平方建立关于等边三角形边长的方程，解出边长为3。第二、根据“等边三角形中心到顶点的距离是等边三角形高线的三分之二”，可以将CD的长度计算出来。第三、根据圆的表面积公式，将圆的半径计算出来。第四、在Rt△CDO中，利用勾股定理建立方程，从而将OD的长度计算出来。本题虽为空间立体几何，但是最终要转化到平面图形上进行解决。通过计算CD、OC的长度，利用勾股定理建立方程，进而求解。

2020考研英语一真题及答案【完整版】！【完形】Directions: Read the following text. Choose the best word (s) for each numbered blank and mark A, B, C or D on the ANSWER SHEET. (10 points)Even if families don't sit down to eat together as frequently as before, millions of Britons will nonetheless have got a share this weekend of one of that nation's great traditions: the Sunday roast. 1 a cold winter's day, few culinary pleasures can 2 it. Yet as we report now. The food police are determined our health. That this 3 should be rendered yet another quilty pleasure 4 to damage our health.The Food Standards Authority (FSA) has 5 a public worming about the risks of a compound called acrylamide that forms in some foods cooked 6 high temperatures. This means that people should 7 crisping their roast potatoes, reject thin -crust pizzas and only 8 toast their bread. But where is the evidence to support such adarmlist advice? 9 studies have shown that acrylamide can cause neurological damage in mice, there is no 10 evidence that it causes cancer in humans.Scientists say the compound is 11 to cause cancer but have no hard scientific proof 12 the precautionary principle it could be argued that it is 13 to follow the FSA advice. 14 it was rumourded that smoking caused cancer for years before the evidence was found to prove a 15Doubtless a piece of boiled feef can always be 16 up on Sunday alongside some steamed vegetables, without the York shire pudding and no wine. But would life be worth living? 17 ,the FSA says it is not telling people to cut out roast foods 18 , but rece their lifetime intake.However its 19 risks coming a cross as being pushy and overprotective. Constant health scares just 20 with no one listening.1. [A]In [B]Towards [C]on [D]Till2. [A ]match [B]express [C]satisfy [D]influence3.[A]patience [B]enjoyment [C]surprise [D]concem4.[A]intensified [B]privileged [C] compelled [D]guaranteed5. [A]issued [B]received [C]ignored [D]cancelled6. [A] under [B]at [C]for [D]by7. [A]forget [B]regret [C]finish [D] avoid8. [A]partially [B]regularly [C] easily [D]initially9. [A]Unless [B]Since [C]If [D]While10.[A] secondary [B]extermal [C] conclusive [D] negative11.[A]insufficient [B]bound [C]likely [D]slow12.[A]On the basis of [B]At the cost of [C] In addition to [D]In contrast to13.[A]interesting [B]advisable [C]urgent [D]fortunate14.[A]As usual [B]In particular [C]By definition [D]After all15.[A]resemblance [B]combination [C] connection [D]pattern16.[A]made [B]served [C]saved [D]used17.[A]To be fair [B]For instance [C]To be brief [D]In general18.[A]reluctantly [B]entirely [C] graally [D] carefully19.[A] promise [B] experience [C]campaign [D] competition20.[A]follow up [B]pick up [C] open up [D]end up答案（1-20）1. on2. match3. enjoyment4. intensified5. issued6. at7. avoid8. easily9. while10. conclusive11. bound12. on the basis of13. advisable14. after all15. connection16. served17. to be fair18. entirely19. campaign20. end up【阅读】Section III Reading ComprehensionPart A Directions: Read the following four texts. Answer the questions below each text by choosing A, B, C or D. Mark your answers on the ANSWER SHEET. (40 points)Text 1A group of labour MPs, among them Yvette Cooper, are bringing in the new year with a call to institute a UK "town of culture" award. The proposal is that it should sit alongside the existing city of culture title, which was held by Hull in 2017 and has been awarded to Coventry for Zozl. Cooper and her colleagues argue that the success of the crown for Hull, where it brought in220m of investment and an avalache of arts, out not to be confined to cities.Britain' town, it is true are not prevented from applying, but they generally lack the resources to put together a bit to beat their bigger competitions. A town of culture award could, it is argued, become an annual event, attracting funding and creating jobs.Some might see the proposal as a boo by prize for the fact that Britain is no longer be able to apply for the much more prestigious title of European capital of culture, a sought-after award bagged by Glasgow in 1990 and Livorpool in 2008. "A cynic might speculate that the UK is on the verge of disappearing into an endless fever of self-celebration in its desperation to reinvent itself for the post-Brexit world: after town of culture, who knows that will follow-village of culture? Suburb of culture? Hamlet of culture?It is also wise to recall that such titles are not a cure-all. A badly run "year of culture"washes in and out of a place like the tide, bringing prominence for a spell but leaving no lasting benefits to the community. The really successful holders of such titles are those that do a great deal more than fill hotel bedrooms and bring in high-profile arts events and good press for a year. They transform the aspirations of the people who live there; they nudge the self-image of the city into a bolder and more optimistic light.It is hard to get right, and requires a remarkable degree of vision, as well as cooperation between city authorities, the private sector, community groups and cultural organisations. But it can be done: Glasgow's year as European capital of culture can certainly be seen as one of complex series of factors that have turned the city into the power of art, music and theatre that it remains today.A "town of culture" could be not just about the arts but about honouring a town's peculiarities-helping sustain its high street, supporting local facilities and above all celebrating its people and turn it into action.21. Cooper and her colleagues argue that a "town of culture" award could [A] consolidate the town-city ties in Britain.[B] promote cooperation among Britain's towns.[C] increase the economic strength of Britain's towns.[D] focus Britain's limited resources on cultural events.22. According to Paragraph 2, the proposal might be regarded by some as [A] a sensible compromise.[B] a self-deceiving attempt.[C] an eye-cotching bonus.[D] an inaccessible target.23. The author suggests that a title holder is successful only if it [A] endeavours to maintain its image.[B] meets the aspirations of its people.[C] brings its local arts to prominence.[D] commits to its long-term growth.24. Glasgow is mentioned in Paragraph 3 to present [A] a contrasting case.[B] a supporting example.[C]a background story.[D] a related topic.25. What is the author's attitude towards the proposal?[A] Skeptical[B] Objective[C] Favourable[D] Critical答案（21-25）21.D focus Britain's limited resources on cultural events.22.B a self-deceiving attempt.23.D commits to its long-term growth.24.B a supporting example.25.C Favourable.Text2Scientific publishing has long been a licence to print money, Scientists need journals in which to publish their research, so they will supply the articles without monetary reward. Other scientists perform the specialised work of peer review also for free, because it is a central element in the acquisition of status and the proction of scientific knowledge.With the content of papers secured for free, the publisher needs only find a market for its journal. Until this century, university libraries were not very price sensitive. Scientific publishers routinely report profit margins approaching 40% on their operations, at a time when the rest of the publishing instry is in an existential crisis.The Dutch giant Elsevier, which claims to publish 25% of the scientific papers proced in the world, made profits of more than f 900m last year, while UK universities alone spent more than f 210m in 2016 to enable researchers to access their own publicly funded research;both figures seem to rise unstoppably despite increasingly desperate efforts to change them.The most drastic, and thoroughly illegal, reaction has been the emergence of Sci-Hub, a kind of global photocopier for scientific papers, set up in 2012, which now claims to offer access to every pay walled article published since 2015. The success of Sci-Hub, which relies on researchers passing on copies they have themselves legally accessed, shows the legal ecosystem has lost legitimacy among its users and must be transformed so that it works for all participants.In Britain the move towards open access publishing has been driven by funding bodies.In some ways it has been very successful. More than half of all British scientific research is now published under open access terms; either freely available from the moment of publication,or pay walled for a year or more so that the publishers can make a profit before being placed on general release.Yet the new system has not worked out any cheaper for the universities. Publishers have responded to the demand that they make their proct free to readers by charging their writers fees to cover the costs of preparing an article. These range from around500 to $5,000.A report last year pointed out that the costs both of subscriptions and of these "article preparation costs" had been steadily rising at a rate above inflation.In some ways the scientific publishing model resembles the economy of the social internet:labour is provided free in exchange for the hope of status, while huge profits are made by a few big firms who run the market places. In both cases, we need a rebalancing of power.26. Scientific publishing is seen as "a licence to print money" partly because [A] its funding has enjoyed a steady increase.[B] its marketing strategy has been successful.[C] its payment for peer review is reced.[D] its content acquisition costs nothing.!27. According to Paragraphs 2 and 3, scientific publishers Elsevier have [A] thrived mainly on university libraries.[B] gone through an existential crisis.[C] revived the publishing instry.[D] financed researchers generously.28. How does the author feel about the success of Sci-Hub? [A] Relieved.[B] Puzzled.[C] Concerned.[D] Encouraged.29. It can be learned from Paragraphs 5 and 6 that open access terms [A] allow publishers some room to make money.[B] render publishing much easier for scientists.[C] rece the cost of publication substantially.[D] free universities from financial burdens.30. Which of the following characterises the scientific publishing model?[A] Trial subscription is offered.[B] Labour triumphs over status.[C]Costs are well controlled.[D] The few feed on the many.答案（26-30）26.D its content acquisition costs nothing.27.A thrived mainly on university libraries.28.D Encouraged.29.A allow publishers some room to make money.30.D The few feed on the many.Text 3Progressives often support diversity mandates as a path to equality and a way to level the playing field. But all too often such policies are an insincere form of virtue-signaling that benefits only the most privileged and does little to help average people.A pair of bills sponsored by Massachusetts state Senator Jason Lewis and House Speaker Pro Tempore Patricia Haddad, to ensure "gender parity" on boards and commissions, provide a case in point.Haddad and Lewis are concerned that more than half the state-government board are lessthan40 percent female. In order to ensure that elite women have more such opportunities, they have proposed imposing government quotas. If the bills become law, state boards and commissions will be required to set aside 50 percent of board seats for women by 2022.The bills are similar to a measure recently adopted in Califomia, which last year became the first state to require gender quotas for private companies. In signing the measure, California Governor Jerry Brown admitted that the law, which expressly classifies people on the basis of sex, is probably unconstitutional.The US Supreme Court frowns on sex based classifications unless they are designed to address an "important" policy interest, Because the California law applies to all boards, even where there is no history of prior discrimination, courts are likely to rule that the law violates the constitutional guarantee of "equal protection".But are such government mandates even necessary? Female participation on corporate boards may not currently mirror the percentage of women in the general population, but so what?The number of women on corporate boards has been steadily increasing without government interference. According to a study by Catalyst, between 2010 and 2015 the share of women on the boards of global corporations increased by 54 percent.Requiring companies to make gender the primary qualification for board membership will inevitably lead to less experienced private sector boards. That is exactly what happened when Norway adopted a nationwide corporate gender quota.Writing in The New Republic, Alice Lee notes that increasing the number of opportunities for board membership without increasing the pool of qualified women to serve on such boards has led to a "golden skirt "phenomenon, where the same elite women scoop up multiple seats on a variety of boards.Next time somebody pushes corporate quotas as a way to promote gender equity,remember that such policies are largely self-serving measures that make their sponsors feelgood but do little to help average women.31.The author believes that the bills sponsored by Lewis and Haddad will [A] help little to rece gender bias.[B] pose a threat to the state government.[C] raise women's position in politics.[D] greatly broaden career options.32. Which of the following is true of the Califormia measure?[A] It has irritated private business owners.[B] It is welcomed by the Supreme Court.[C] It may go against the Constitution.[D] It will settle the prior controversies.33. The author mentions the study by Catalyst to illustrate [A] the harm from arbitrary board decision. [B]the importance of constitutional guarantees.[C] the pressure on women in global corporations.[D] the needlessness of government interventions.34. Norway's adoption of a nationwide corporate gender quota has led to [A] the underestimation of elite women's role[B] the objection to female participation on boards.[C]the entry of unqualified candidates into the board.[D] the growing tension between labor and management.35. Which of the following can be inferred from the text?[A] Women's need in employment should be considered.[B] Feasibility, should be a prime concern in policy making.[C] Everyone should try hard to promote social justice.[D] Major social issues should be the focus of legislation.答案（31-35）31.A help little to rece gender bias.32.C It may go against the Constitution.33.D the needlessness of government interventions.34.C the entry of unqualified candidates into the board.35.B Feasibility should be a prime concern in policymaking.Text4 :Last Thursday, the French Senate passed a digital services tax, which would impose an entirely new tax on large multinationals that provide digital services to consumers or users in France. Digital services include everything from providing a platform for selling goods and services online to targeting advertising based on user data, and the tax applies to gross revenue from such services. Many French politicians and media outlets have referred to this as a"GAFA tax," meaning that it is designed to apply primarily to companies such as Google,Apple, Facebook and Amazon-in other words, multinational tech companies based in the United States.The digital services tax now awaits the signature of President Emmanuel Macron, who has expressed support for the measure, and it could go into effect within the next few weeks.But it has already sparked significant controversy, with the Unite Sates trade representative opening an investigation into whether the tax discriminates against American companies,which in turn could lead to trade sanctions against France.The French tax is not just a unilateral move by one country in need of revenue. Instead,the digital services tax is part of a much larger trend, with countries over the past few years proposing or putting in place an alphabet soup of new international tax provisions. These have included Britain's DPT (diverted profits tax).Australia's MAAL (multinational antiavoidance, law), and India's SEP (significant economic presence) test, to name but a few. At the same time, the European Union. Spain,Britain and several other countries have all seriously contemplated digital services taxes.These unilateral developments differ in their specifics, but they are all designed to tax multinationals on income and revenue that countries believe they should have a right to tax,even if international tax rules do not grant them that right. In other words, they all share a view that the international tax system has failed to keep up with the current economy.In response to these many unilateral measures, the Organization for Economic Cooperation and Development (OECD) is currently working with 131 countries to reach aconsensus by the end of 2020 on an international solution. Both France and the United States are involved in the organization's work, but France's digital services tax and the American response raise questions about what the future holds for the international tax system.France's planned tax is a clear warning: Unless a broad consensus can be reached on reforming the international tax system, other nations are likely to follow suit, and American companies will face a cascade of different taxes from dozens of nations that will prove burdensome and costly.36.The French Senate has passed a bill to [A] regulate digital services platforms.[B] protect French companies interests.[C] impose a levy on tech multinationals.[D] curb the influence of advertising.37. It can be learned from Paragraph 2 that the digital services tax [A] may trigger countermeasures against France.[B] is apt to arouse criticism at home and abroad.[C] aims to ease international trade tensions.[D] will prompt the tech giants to quit France.38. The countries adopting the unilateral measures share the opinion that [A] redistribution of tech giants' revenue must be ensured.[B] the current international tax system needs upgrading.[C] tech multinationals' monopoly should be prevented.[D] all countries ought to enjoy equal taxing rights.39. It can be learned from Para 5 that the OECO's current work [A] is being resisted by US companies.[B] needs to be readjusted immediately.[C] is faced with uncertain prospects.[D] needs to in involve more countries.40. Which of the following might be the best title for this text?[A] France Is Confronted with Trade Sanctions[B] France leads the charge on Digital Tax[C] France Says "NO" to Tech Multinationals[D] France Demands a Role in the Digital Economy答案（36-40）36.C impose alevy on tech multinationals.37.A may trigger countermeasures against France.38.B the current international tax system needs upgrading39.C is faced with uncertain prospects.40.B France leads the charge on Digital TaxPart B Directions:In the following text, some sentences have been removed. For Questions 41-45, choose the most suitable one from the fist A-G to fit into each of the numbered blanks. There are two extra choices, which do not fit in any of the gaps. Mark your answers on ANSWER SHEET. (10 points)[A] Eye fix actions are brief[B] Too much eye contact is instinctively felt to be rude[C] Eye contact can be a friendly social signal[D] Personality can affect how a person reacts to eye contact[E] Biological factors behind eye contact are being investigated [F] Most people are not comfortable holding eye contact with strangers[G] Eye contact can also be aggressive.In a social situation, eye contact with another person can show that you are paying attention in a friendly way, But it can also be antagonistic such as when a political candidate turns toward their competitor ring a debate and makes eye contact that signals hostility.Here's what hard science reveals about eye contact: We know that a typical infant will instinctively gaze into its mother's eyes, and she will look back. This mutual gaze is a major part of the attachment between mother and child. In althood, looking someone else in a pleasant way can be a complimentary sign of paying attention. It can catch someone's attention in a crowded room, "Eye contact and smile" can signal availability and confidence, a common-sense notion supported in studies by psychologist Monica Moore.42. Neuroscientist Bonnie Augeung found that the hormone oxytocin increased the amount of eye contact from men toward the interviewer ring a brief interview when the direction of their gaze was recorded. This was also found in high- functioning men with some autistic spectrum symptoms, who may tend to avoid eye contact. Specific brain regions that respond ring direct gaze are being explored by other researches, using advanced methods of brain scanning.43. With the use of eye-tracking technology, Julia Minson of the Harvard Kennedy School of Government concluded that eye contact can signal very different kinds of messages,depending on the situation. While eye contact may be a sign of connection or trust in friendly situations, it's more likely to be associated with dominance or intimidation in adversarial situations. "Whether you' re a politician or a parent, it might be helpful to keep in mind that trying to maintain eye contact may backfire if you' re trying to convince someone who has a different set of beliefs than you," said Minson.44. When we look at a face or a picture, our eyes pause on one spot at a time, often on the eyes or mouth. These pauses typically occur at about three per second, and the eyes then jump to another spot, until several important points in the image. are registered like a series of snapshots. How the whole image is then assembled and perceived is still a mystery although it is the subject of current research.45. In people who score high in a test of neuroticism, a personality dimension associated with self-consciousness and anxiety, eye contact triggered more activity associated with avoidance,according to the Finnish researcher Jari Hietanen and colleagues "Our findings indicate that people do not only feel different when they are the centre of attention but that their brain reactions also differ." A more direct finding is that people who scored high for negative emotions like anxiety looked at others for shorter periods of time and reported more comfortable feelings when others did not look directly at them.答案（41-45）41. C Eye contact can be a friendly social signal42.E Biological factors behind eye contact are being investigated43.G Eye contact can also be aggressive44.A Eye fixactions are brief45.D Personality can affect how a person reacts to eye contactPart CDirections: Read the following text carefully and then translate the underlined segments into Chinese. Your translation should be written neatly on the ANSWER SHEET. (10points)Following the explosion of creativity in Florence ring the 14h century known as the Renaissance, the modern world saw a departure from what it had once known. It turned from God and the authority of the Roman Catholic Church and instead favoured a more humanistic approach to being. Renaissance ideas had spread throughout Europe well into the 17h century,with the arts and sciences flourishing extraordinarily among those with a more logical disposition. (46) with the Church's teachings and ways of thinking eclipsed by the Renaissance,the gap between the Medieval and modern periods had been bridged leading to new and unexplored itellectual territories.During the Renaissance, the great minds of Nicolaus Copernicus, Johannes Kepler and Galileo Galilei demonstrated the power of scientific study and discovery. (47) Before each of their revelations many thinkers at the time had sustained more ancient ways of thinking.including the geo-centric view that the Earth was a the centre of our universe. Copernicus theorized in 1543 that all of the planets that we knew of revolved not around the Earth, but the Sun, a system that was later upheld by Galileo at his own expense. Offering up such a theory ring a time of high tension between scientific and religious minds was branded as heresy and any such heretics that continued to spread these lies were to be punished by imprisonment or even death.(48) Despite attempts by the Church to suppress. this new generation of logicians and rationalists, more explanations for how the universe functioned were being made at a rate that the people could no longer ignore.It was with these great revelations that a new kind of philosophy founded in reason was born.The Church's long- standing dogma was losing the great battle for truth to rationalists and scientists. This very fact embodied the new ways of thinking that swept through Europe ring most of 17h century. (49) As many took on the ty of trying to integrate reasoning and scientific philosophies into the world, the Renaissance was over and it was time for a new era-the Age of Reason.The 17h and I8h centuries were times of radical change and curiosity, Scientific method,rectionism and the questioning of Church ideals was to be encouraged, as were ideas of liberty, tolerance and progress. (50) Such actions to seek knowledge and to understand what information we already knew were captured by the Latin phrase' sapere aude' or dare to know',after Immanuel Kant used it in his essay" An Answer to the Question: What is Enlightenment?".It was the purpose and responsibility of great minds to go forth and seek out the truth, which they believed to be founded in knowledge.答案（46-50）46.随着教会的教义和思维方式在文艺复兴时期黯然失色，中世纪与现代之间的鸿沟得以弥合，从而出现了新的及尚未开发的知识领域。47.在每个真理揭示之前，当时的许多思想家都采用了更古老的思维方式，仍旧沿用以前的思维模式，其中包括认为地球是宇宙中心的地球中心说。48.尽管教会试图镇压这-代逻辑学家和理性主义者，但人们对宇宙如何运转的解释却越来越多，并且以-种不容忽视的速度在增加。49.当许多人承担起将理性科学的哲学融入世界的责任时，文艺复兴时代已经结束，并且开启了一个新的时代。50.此类寻求知识和了解已知信息的行为被拉丁语概括为：“sapere aude"即"敢于求知”作文Section ll WritingPart A51. Directions:The students union of your university has assigned you to inform the international students about an upcoming singing contest. White a notice in about 100 words.Write your answer on the ANSWER SHEET.Do not use your own name in the notice. (10 points)小作文：通知留学生唱歌比赛 【参考范文】NoticeDec.21, 2019In order to enrich the campus life and provide the colorful life for you, the Students' Union is preparing the upcoming singing contest, which will be held in the auditorium in our university on the evening of December 31, 2019. Now, the Union is recruiting contestants for this competition.Anyone who are fond of signing or interested in the competition, please send his or her application to students’union@sohu.com before next Wednesday. Besides, there are generous awards in gratitude for this activity. Please do not hesitate to contact us if you have any queries concerning the singing contest. Meanwhile, volunteers for this activity are badly needed to assist us in organizing the relevant affairs.We are looking forward to your participation.The Students' UnionPart B52. Directions:Write an essay of 160-200 words based on the pictures below, In your essay, you should1) Describe the picture briefly,2) Interpret the implied meaning, and3) Give your comments.Write your answer on the ANSWER SHEET. (20 points)大作文：习惯良好的时间管理习惯 【参考范文】Portrayed distinctively by the two cartoons above is an impressive scene: a girl in the left picture is doing homework and saying that early completion is better. Nevertheless, the boy in the right picture is sitting in front of the desk and saying that he will not finish the homework until the last minute.Undoubtedly, the symbolic implication of the pictures is to show us that importance should be attached to the formation of good habits, especially the good habit of time management. On the one hand, efficient time management is critical to personal development. As the old saying goes,“Time is money," and in the fast-paced modern life, it seems that we always have a lot of things to do and we are very busy. In the face of such a situation, we have to realize that efficiency holdsthe key to saving time and time management skills hold the key to personal success. On the other hand, good time management habits play a vital role in the development of the whole society. There is no doubt that, to a large extent, social progress is closely related to the efforts of each indivial. If we can develop the good habit of time management, we are much more likely to improve efficiency and have a better performance in the learning and working process, which is anintegral part of social advances and prosperity.From what has been mentioned above, we can come to the conclusion that the sense of efficient time management skills is of equal importance in personal and social progress.Therefore,we ought to take advantage of the phenomenon to enlighten the public and the press is expected to take a lead in advertising the value of developing good time management habits. Only in this way can we have a bright future.以上便是整理的2020年全国硕士研究生入学统一考试英语一试题及答案，2021考研的小伙伴可以参考真题，准备明年12月的考研初试。下面分享一份公共课书单，希望对大家有用：【英语书单】单词：闪过英语《考研词汇闪过》按重要程度划分了频考词、基础词、偶考词、超纲词，划重点，后期冲刺只背高频词和基础词，省时间。真题：《考研真相》（英语二：考研圣经）：一词一句讲解真题，重点词汇和每个句子都有详细讲解，不怕你看不懂，还有排除干扰项的方法，帮助提高答对率，适合基础弱的人。作文：英语一《写作160篇》/英语二《写作宝中宝》：通过词句段篇先教你学会写作文，再用三步作文法帮你拔高，专门针对基础薄弱的。【数学书单】《张宇真题大全解》：从94年到现在的真题都包括了，讲解很好，帮助研究数学题型。李永乐王式安660题：用这本书练习做题，都是经典题型！同济六版/七版《高等数学》上、下同济五版/六版《线性代数》课本：《线性代数》、《概率论》、《数理统计》【政治书单】官方红宝书（政治大纲解析）；风中劲草（三本书）、肖秀荣系列：精讲精练、1000题、讲真题、形势与政策、冲刺八套卷、最后四套卷；蒋中挺冲刺5套卷；启航20天20题

昨天谈到考研数学的做题的近几年平均分，难度值，以及易失分的部分。今天来说说关于做真题的内容。一、真题要做多少年的？从87年开始考数学开始，到今已经有33年真题了其中：1987-2002年卷面满分是100分2003-2019年卷面满分是150分①做17年真题就是03年-19年，这17年的真题难度相对趋于稳定，和现在大家要参加的20真题应该是比较有贴近的。而87年-02年真题难度系数波动大，考察内容不是很合理。所以做这17年的真题，对于归纳出题套路，有很好的模拟考察的效果。②做23年真题97年-02年真题虽然只有100分，但98年和99年两年的真题是非常经典的，计算量大，这不是16年又出现了一回，所以要有应对出这种类型的试卷的心理准备。阿呆建议可以先把03年-19年的真题先做完，后面可以继续往前做到97年，至于更早的，大家挑一些经典题型来做即可。当然了，张宇老师每年都是让从87年开始做。二、真题书如何选择？第一类是李永乐老师的真题书（05-19年）和李正元老师的真题书（05年-19年），大家现在在一些经验贴上看到“二/双李”说的就是这两位，以前他们两个是一伙的，后来分家了。两位都是考研界的泰山北斗，质量这块是可以保证的。这两套图书，应该是比较像的，前面是历年真题权威解答，后面一半是章节的真题汇总，方便大家归纳复习；这两套书的真题解析大多数都会带有多解，并且对早年的真题中的一些经典题目也列出来了，作为习题补充给大家，这个刚好弥补了让大家自己去找前面多年真题经典题目的空白。大家选择一位老师的书就可以了。第二类就是张宇老师的真题大全解，张宇老师推荐的是从87年-19今年的全做，书名叫真题大全解太正确了，全面覆盖了33年的真题，同时搭配了高昆仑老师进行33年真题大串讲。大家如果有买了张宇老师的真题大全解的，可以按照这样去做。同样汤家凤老师也是87-19年的真题全解，老师自己讲真题，分为上下册：上册（87年-99年）这部分在汤家凤老师公众号免费解析视频；下册（00年-19年）这部分是需要大家花钱买的。这两类真题图书都有套卷做题版和章节归纳版，So两类大家可以自行选择，但是不推荐那种只按照套卷出解答的真题资料，那种不方便大家第二轮做真题归纳复习。三、真题要做几遍？真题至少是要做两遍滴。第一遍：按照套卷模拟考试这样，严格按照时间来做，大家要充5分利用起来，不要做一道甚至还没做出来，只是有一个思路就开始看答案了。第一轮就可以在一个专门的本子或是有打印了答题卡上模拟做，虽然只是复习练习，也要工工整整的把解题步骤写出来，草稿纸也不要随便乱画，便于检查是哪里计算错误，这点对于选择填空题尤为重要，考卷上只要一个答案。对于错题可以整理错题本或是订正后扫描到手机制成电子版。第二遍：按照章节知识点再做一遍，做的时候建议高数线代概率同时进行，考研数学的一些知识，久了不用就会生疏的，大家有没有感觉学习考研数学很需要“背”才能不忘，不单纯是理解。最后要说下关于对答案以后分数的事情，只是一个参考，真题就是用来查缺补漏的，发现问题，解决问题才是做真题的关键。

2020考研政治、英语、数学、金融、经济学、管综等专业课真题及答案解析如下：

一、考研政治：2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析2020年考研政治真题及答案解析二、考研英语一：2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析2020年考研英语一真题及答案解析三、考研英语二：英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案英语二真题及答案四、考研数学一：2020年考研数学一真题2020年考研数学一真题2020年考研数学一真题五、考研数学二：2020年考研数学二真题2020年考研数学二真题2020年考研数学二真题2020年考研数学二真题2020年考研数学二真题六、考研数学三：2020年考研数学三真题2020年考研数学三真题2020年考研数学三真题七、199管理类联考（写作部分）：199管理类联考真题199管理类联考真题八、396经济类联考：逻辑部分396联考真题396联考真题396联考真题396联考真题396联考真题数学部分396联考真题396联考真题写作部分396联考真题396联考真题