清华大学本科生考试试题例
清华大学生物化学试卷2005_final_exam_A
B.6
C.6.5
D.7.5
E.No ATP would form under these conditions.
Answer(s): D
3.Indicate which of the following events can occur during the processing of eukaryotic mRNA transcripts.
清华大学本科生考试试题专用纸(A)
考试课程Biochemistry II 2005年1月15日
说明：1.第1－40题为选择题，每题2分，答案可能是一个或多个，请将
正确答案填在适当的横线处；
2.第41－44题为问答题，每题的分数标在了题目后面，请将答案写
在答题纸上；
3.本卷满分为100。
1. Which compound links glycolysis, nucleotide synthesis, and glycogen synthesis?
Answer(s):D
8.Consider the mRNA sequence: (5’) AAUGCAGCUUUAGCA(3’). The sequence ofthe coding strand of DNA is:
A.(5’) ACGATTTCGACGTAA(3’)
B.(3’) TTACGTCGAAATCGT(5’)
E.The value ofG’ois also negative.
Answer(s): AD
13.Which of the following isnota physiological role of nucleotides?
A.allosteric regulators
清华本科生化考试 英文
清华大学本科生考试试题专用纸考试课程Biochemistry II 2001 年 6 月 11 日说明：1. 请选择正确答案，填在适当的横线处（1-30题）或写在答题纸上（31 -33题）；2. 答案可能是一个或多个；3. 每题的分数在标在了题目后面；4. 本卷满分为100.G` of the∆1. If the reaction A B is –12 kJ/mol, which of the following statements are correct? (Note the prime symbol means that a thermodynamic parameter is measured at pH.7.0) (2 points)A. The reaction will proceed spontaneously from left to right at the given conditions.B. The reaction will proceed spontaneously from right to left at stan dard conditions.C. The equilibrium constant favors the formation of B over the format ion of A.D. The equilibrium constant could be calculated if the initial concen trations of A and B were known.E. The G`o is also negative.∆value ofAnswer(s): A, D2. Which of the following statements about ATP and its roles in cells are true? (2 points)A. The ATP molecule is kinetically unstable and is thus consumed with in about one minute following its formation in cells.B. ATP provides free energy to a thermodynamically unfavorable reacti ons by group transfer, always donating a Pi to form a covalent interm ediate.C. ATP can be regenerated by coupling with a reaction that releases m ore free energy than does ATP hydrolysis.D. A transmembrane proton-motive force can drive ATP synthesis.E. The active form of ATP is usually in a complex with Mg2+.Answer(s): C, D, E3. A common moiety for NADP, NAD, FMN, FAD, and coenzyme A is: (2 poi nts)A. A pyrimidine ring;B. A three ring structure;C. An ADP;D. A pyranose ring;E. A triphosphate group.Answer(s): C4. If the C-1 carbon of glucose were labeled with 14C, which of the c arbon atoms in pyruvate would be labeled after glycolysis? (2 points)A. The carboxylate carbon;B. The carbonyl carbon;C. The methyl carbon.Answer(s): C第页/共页5. Which of the following are metabolic products of pyruvate in highe r organisms? (2 points)A. GlycerolB. Lactic acidC. AcetoneD. Acetyl-CoAE. EthanolAnswer(s): B, D6. Indicate whether each of the following statements about the pentose phosphate pathway is true (T) or false (F). (5 points)A. It generates NADH for reductive biosyntheses. FB. The reactions occur in the cytosol. TC. Transketolase and transaldolase link this pathway to gluconeogenes is. FD. It is more active in muscle cells than in fat-storage cells. FE. It interconverts trioses, tetroses, pentoses, hexoses, and heptose s. T7. Which of the following statements are correct? The citric acid cyc le (2 points)A. does not exist as such in plants and bacteria, because its functio ns are performed by the glyoxylate cycle.B. oxidizes acetyl CoA derived from fatty acid degradation.C. produces most of the CO2 in anaerobic organisms.D. provides succinyl CoA for the synthesis of carbohydrates.E. provides precursors for the synthesis of glutamic and aspartic aci ds.Answer(s): B, E8. Match the cofactors of the pyruvate dehydrogenase complex with the ir corresponding enzyme components and with their roles in the enzymatic steps that are listed. (5 points)A. Coenzyme A: 3,7B. NAD+: 2, 9C. Thiamine pyrophosphate (TPP): 1, 5D. FAD: 2, 6E. Lipoamide: 3, 4,8(1). Pyruvate dehydrogenase component(2). Dihydrolipoyl dehydrogenase(3). Dihydrolipoyl transacetylase(4). Oxidizes the hydroxylethyl group(5). Decarboxylates pyruvate(6). Oxidizes dihydrolipoamide(7). Accepts the acetyl group from acetyllipoamide(8). Provides a long, flexible arm that coveys intermediates to diffe rent enzyme component.(9). Oxidizes FADH2.9. Matching the role in fatty acid oxidation and/or mobilization to t he appropriate component listed below. (5 points)A. Bile salt: 2B. Serum albumin:5C. ApoC-II:4D. Apolipoprotein:3E. Carnitine:1(1). Acts as a “carrier” of fatty acids across the inner mitochondr ial membrane.(2). Acts as a biological detergent, disrupting fat globules into sma ll mixed micelles.(3). Binds and transports triacylglycerols, phospholipids, and choles terol between organs.(4). Activates lipoprotein lipase, which cleaves triacylglycerols int o their components.(5). Binds some fatty acids molibized from adipocytes and transports them in the blood to heart and skeletal muscle.第页/共页10. Which of the following answers complete the sentence correctly? S urplus dietary amino acids may be converted into (2 points)A. proteins.B. Fats.C. ketone bodies.D. glucose.E. a variety of biomolecules for which they are precursors.Answer(s): A, B, C, D,E11. Which of the following compounds serves as an acceptor for the am ino groups of many amino acids during metabolism? (2 points)A. GlutamineB. Asparagine.C. -ketoglutarate.D. OxaloacetateE. GlutamateAnswer(s):C12. Match the functions for the coenzymes that are involved in amino acid metabolism. (4 points)A. Pyridoxal phosphate: (3)B. Coenzyme B12: (2)C. Tetrahydrobiopterin: (1)D. NAD+: (1)E. Biotin (4)(1). Carries electrons(2). Provides free radicals(3). Carries amino groups(4). Carries CO2.13. Which of the following experimental observations would not suppor t the chemiosmotic model of oxidative phosphorylation? (3 points) A. If mitochondrial membranes are ruptured, oxidative phosphorylation cannot occur.B. Raising the pH of the fluid in the intermembrane space results in ATP synthesis in the matrix.C. Transfer of electrons through the respiratory chain results in for mation of a proton gradient across the inner mitochondrial membrane.D. The orientation of the enzyme complexes of the electron transfer c hain results in a unidirectional flow of H+.E. Radioactively labeled inorganic phosphate is incorporated into cyt osolic ATP only in the presence of an H+ gradient across the inner mi tochondrial membrane.Answer(s): B14. Some photosynthetic prokaryotes use H2S, hydrogen sulfide, instead of water as their photosynthetic hydrogen donor. How does this chan ge the ultimate products of photosynthesis? (2 points)A. Carbohydrate (CH2O) is not produced.B. H2O is not produced.C. Oxygen is not produced.D. ATP is not produced.E. The products do not change.Answer(s): C15. Which of the following are constituents of chlorophylls? (2 point s)A. Substituted tetrapyrrole.B. Plastoquinone.C. Mg2+.D. Fe2+.E. Phytol.F. Iron porphyrin.Answer(s): A, C, E第页/共页16. The observation that the incubation of photosynthetic algae with 14CO2 in the light for a very brief time (5s) led to the formation of 14C-labeled 3-phosphoglycerate suggested that the 14CO2 was condensi ng with some two-carbon acceptor. That acceptor was in fact which of the following? (2 points)A. AcetateB. Acetyl CoAC. Acetyl phosphateD. AcetaldehdydeE. Glycerol phosphateF. None of the aboveAnswer(s): F17. Which of the following are common features of the syntheses of me valonate (an intermediate of cholesterol biosynthesis) and ketone bod ies? (2 points)A. Both involve 3-hydroxyl-3-methylglutaryl CoA (HMG-CoA).B. Both require NADPH.C. Both require the HMG-CoA cleavage enzyme.D. Both occur in the mitochondria.E. Both occur in liver cells.Answer(s): A18. S-adenosylmethionine is involved directly in which of the followi ng reactions. (3 points)A. Methyl transfer to phosphatidyl ethanolamine.B. Synthesis of glycine from serine.C. Synthesis of polyamines.D. Conversion of homocysteine to methionine.E. Generation of the 5` cap of the eukaryotic mRNAs.Answer(s): A, C, E19.Which of the following does not provide a carbon skeleton for thesynthesis of amino acids? (2 points)A. succinate.-ketoglutarate B.C. Pyruvate.D. Oxaloacetate.E. Ribose-5-phosphate.Answer(s): A20. Which of the following compounds directly provide atoms to form t he purine ring? (3 points)A. Aspartate.B. Carbamoyl phosphate.C. Glutamine.D. Glycine.E. CO2.F. N5,N10-methylenetetrahydrofolate.G. N10-formyltetrahydrofolate.H. NH4+.Answer(s): A, C, D, E, G21. Which of the following statements about ribonucleotide reductase are true? (2 points)A. It converts ribonucleoside diphosphates into 2`-deoxyribonucleosid e diphosphates in humans.B. It contains coenzyme B12, which generates free radicals needed for the catalysis.C. It accepts electrons directly from FADH2.D. It receives electrons directly from either thioredoxin or glutared oxin.E. It contains two kinds of allosteric regulatory sites: one for cont rolling the overall activity and the other for controlling the substr ate specificity.Answer(s): A, D, E22. Biosynthetic pathways that require NADPH include which of the fol lowing? (2 points)A. Gluconeogenesis.B. Fatty acid biosynthesis.C. Ketone body formation.D. Cholesterol biosynthesis.E. Tyrosine biosynthesis.Answer(s): B,D,E23. Homologous recombination in E. coli is likely to require which of the following? (3 points)A. DnaB protein.B. RecA protein.C. RecBCD complex.D. ATP.E. NAD+.F. Single-strand DNA binding protein.G. DNA-dependent RNA polymerase.H. DNA polymerase I.I. DNA ligase.J. dATP.Answer(s): B, C, D, E, F, H, I, J24. Which of the following statements about E. coli promoters are cor rect? (2 points)A. They may exhibit different transcription efficiencies.B. For most genes they include variants of consensus sequences.C. They specify the start sites for transcription on the DNA template.D. They have identical and defining sequences.E. They are activated when C or G residues are substituted into their–10 regions by mutation.F. Those that have sequences that correspond closely to the consensus sequences and are separated by 17 base pairs are very efficient. Answer(s): A, B, C, F25. The AAUAAA sequence on a RNA molecule marks (2 points)A. The site where ribosomes bind to initiate polypeptide synthesis.B. The site where transcription stops.C. The site near which the primary transcript is cleaved and a poly (A) sequence is added.D. The site where the release factor will bind to end polypeptide syn thesis.E. The site where polyribonucleotide phosphorylase will add a stretch of random sequences.Answer(s): C70 subunit of the 26. The E. coli RNA polymerase: (2 points)A. acts as the catalytic site for polymerization.B. Recognize promoters.C. Has a proofreading function.D. Increases the processivity of the enzyme.E. Recognizes termination signals.Answer(s): B27. The discontinuity of eukaryotic genes were first revealed by: (2 points)A. Using footprinting techniques.B. DNA sequence comparison.C. RNA sequence analysis.D. Electron microscopic analysis of RNA-DNA hybrid molecules.E. Plant genetic studies.Answer(s): D第页/共页28. Which of the following mRNA codons can be recognized by the tRNA anticodon ICG. (2 points)A. UGC.B. CGA.C. UGA.D. CGU.E. CGC.Answer(s): B, D, E29. A new compound, vivekine, was recently discovered by a clever und ergraduate student. It was isolated from bacteria found in deep sea-d welling organisms. Vivekine inhibits protein synthesis in eukaryotes: Protein synthesis can initiate, but only dipeptides are formed and t hese remain bound to the ribosome. This toxin affects eukaryotic prot ein synthesis by blocking the: (2 points)A. binding of formylmethionyl-tRNA to ribosomes.B. activity of elongation factors.C. activation of amino acids.D. recognition of stop signals.E. formation of peptide bonds.Answer(s): B30. Indicate whether each of the following statements about prokaryot ic translation is true (T) or false (F). (7 points)A. An aminoacyl-tRNA synthetase catalyzes formation of an ester bond. ( T )B. An mRNA molecule cannot be used to direct protein synthesis until it has been completely transcribed. ( F )C. The positioning of fMet-tRNA on the A site defines the reading fra me. ( F )D. Incoming aminoacyl-tRNA are first bound to the A site. ( T )E. Formation of the 70S initiation complex requires an input of energ y. ( T )F. The carboxyl group of the amino acid on the aminoacyl-tRNA is transferred to the amino group of a peptidyl-tRNA.( F )G. Release factors cause the peptidyl transferase activity of the rib osome to use H2O as a substrate. ( T )第页/共页31. In an attempt to determine whether a given RNA was catalytically active in the cleavage of a synthetic oligonucleotide, the following experimental results were obtained. When the RNA and the oligonucleot ide were incubated together, cleavage of the oligonucleotide occurred. When either the RNA or the oligonucleotide was incubated alone, ther e was no cleavage. When the RNA was incubated with higher concentrati ons of the oligonucleotide, saturation kinetics of the Michaelis-Ment en type were observed. Do these results demonstrate that the RNA has catalytic activity? Explain. (8 points)Answer: These results alone do not establish that the RNA has catal ytic activity. A catalyst must be regenerated. It is entirely possibl e that the results observed could be accounted for by a stoichiometri c, as opposed to a catalytic, interaction between RNA and the oligonu cleotide. In which the RNA may “commit suicide” as the oligonucleot ide is cleaved. In such an interaction, a portion of the RNA would al so be cleaved itself as a part of the reaction. Four reaction product s would accumulate, two resulting from the cleavage of RNA and two fr om the cleavage of the oligonucleotide. To show that this particular RNA was catalytic, it would be necessary to demonstrate that it turns over and is regenerated in the course of the reaction.32.Translation involves conversion of the language of nucleotides to that of proteins. In the chain of events leading from a nucleotide se quence on DNA to the production of protein by ribosomes, where precis ely does the process of translation occur? Explain. (6 points)Answer: Translation involves conversion of the language of nucleotid es to that of proteins. The agent of translation is the appropriate a minoacyl-tRNA synthetase, which must recognize a particular amino aci d and link it to a tRNA containing an anticodon for that amino acid.33.Suppose that a bacterial mutant is found to replicate its DNA at a very low rate. Upon analysis, it is found to have entirely normal ac tivity of DNA polymerases I and III, DNA gyrase, and DNA ligase. It a lso makes normal amounts and kinds of dnaA, dnaB, dnaC, and SSB proteins. The oriC region of its chromosome is found to be entirely normal with respect to nucleotide sequence. What defect might account for t he abnormally low rate of DNA replication in this mutant? Explain. (6 points)Answer: A decrease in the activity of primase would account for the low rate of DNA replication. DNA replication requires the prior synth esis of RNA primers. Decreased rates of dNTP synthesis would also slo w replication.第页/共页(中国生物论坛 copyright reserved)。
清华大学2011年保送生考试试题
清华大学2011年保送生考试试题
导读：本文清华大学2011年保送生考试试题，仅供参考，如果能帮助到您，欢迎点评和分享。
2011年12月25日，清华大学进行了保送生考试，约1000名考生参加了清华保送生选拔，其中文理比例为1：9。
清华所有参加笔试的文科生都将参加面试，内容包括英语口语测试和综合面试两部分，其中英语口语测试是今年首增的项目。
清华大学的保送生考试结果会在元旦前后公布。
保送生考试分为两部分：笔试和面试。
笔试科目分别为上午进行的阅读与写作(含中、英文，所有考生内容相同)，下午举行的数学(文理科试题不同)、自然科学(理科考生，包括物理、化学，比例约为7：3)、人文与社会(文科考生，内容涉及文学、历史、哲学、政治、经济、法律、社会地理等)。
中文写作：声音，并不都是音乐。
题材不限。
人文与社会科目：CPI、碳交易、鸳鸯蝴蝶派等15个名词解释。
论文写作：给出社会学家李强的一本著作中《社会分层与社会流动》的一个章节写论文，主题是当代中国的社会流动。
面试题的考察更灵活、宽泛。
面试题，多取材于当前的热点事件。
面试形式：清华文科保送生采取6个一组的群面形式，理科保送生3个考官对1个考生的个面形式。
为了治理交通拥堵，北京和上海采取了限制机动车数量的政策，但却采用了不同的制度设计，北京采取的是摇号购车，上海则是
对车牌号进行拍卖。
请考生对两种政策进行优劣分析。
用英语说出四大名著，并说出自己喜欢哪部名著及理由。
用英语说出“科学发展观”及“发展是硬道理”，并说出两者的区别。
试题及答案
第1 页/共2 页第2 页/共2 页第1 页/共2 页第2 页/共2 页清华大学本科生考试试题答案（试题A ）考试课程 传热学一、选择题: 将选择出的答案写在题前的方括号内。
(15分)1. a2. d3. d4. a5.d二、 简要回答下列问题：(35分)1. (7分)答：肋片效率为肋片的实际散热量与假设整个肋片温度都与肋根温度相同时的理想散热量之比。
-------------------------------------------------3分肋片效率的主要影响因素有：（1） 肋片材料的热导率：热导率愈大，肋片效率愈高；----------------1分（2） 肋片高度：肋片愈高，肋片效率愈低；-------------------------------1分（3） 肋片厚度：肋片愈厚，肋片效率愈高；-------------------------------1分（4） 表面传热系数：表面传热系数愈大，肋片效率愈低。
------------1分2．（7分）答：λαδ=Bi ，表示物体内部导热热阻λδ与物体表面对流换热热阻α1的比值，它和第三类边界条件有密切的联系。
--------------------------------------------------1.5分2l a Fo τ= 是非稳态导热过程中的无量纲时间，表示非稳态导热过程进行的深度。
--------------------------------------------------------------------------------------1.5分0→Bi 意味着平板的导热热阻趋于零，平板内部各点的温度在任一时刻都趋于均匀一致。
（见下图b ）----------------------------------------------------------------1.5分∞→i B 表明对流换热热阻趋于零，平板表面与流体之间的温差趋于零。
清华大学生物化学练习题Test for Biochemistry II
31. In an attempt to determine whether a given RNA was catalytically active in the cleavage of a synthetic oligonucleotide, the following experimental results were obtained. When the RNA and the oligonucleotide were incubated together, cleavage of the oligonucleotide occurred. When either the RNA or the oligonucleotide was incubated alone, there was no cleavage. When the RNA was incubated with higher concentrations of the oligonucleotide, saturation kinetics of the Michaelis-Menten type were observed. Do these results demonstrate that the RNA has catalytic activity? Explain. (8 points)Answer: These results alone do not establish that the RNA has catalytic activity. A catalyst must be regenerated. It is entirely possible that the results observed could be accounted for by a stoichiometric, as opposed to a catalytic, interaction between RNA and the oligonucleotide. In which the RNA may “commit suicide”as the oligonucleotide is cleaved. In such an interaction, a portion of the RNA would also be cleaved itself as a part of the reaction. Four reaction products would accumulate, two resulting from the cleavage of RNA and two from the cleavage of the oligonucleotide. To show that this particular RNA was catalytic, it would be necessary to demonstrate that it turns over and is regenerated in the course of the reaction.32.Translation involves conversion of the language of nucleotides to that of proteins. In the chain of events leading from a nucleotide sequence on DNA to the production of protein by ribosomes, where precisely does the process of translation occur? Explain. (6 points)Answer: Translation involves conversion of the language of nucleotides to that of proteins. The agent of translation is the appropriate aminoacyl-tRNA synthetase, which must recognize a particular amino acid and link it to a tRNA containing an anticodon for that amino acid.33.Suppose that a bacterial mutant is found to replicate its DNA at a very low rate. Upon analysis, it is found to have entirely normal activity of DNA polymerases I and III, DNA gyrase, and DNA ligase. It also makes normal amounts and kinds of dnaA, dnaB, dnaC, and SSB proteins. The oriC region of its chromosome is found to be entirely normal with respect to nucleotide sequence. What defect might account for the abnormally low rate of DNA replication in this mutant? Explain. (6 points)Answer: A decrease in the activity of primase would account for the low rate of DNA replication. DNA replication requires the prior synthesis of RNA primers. Decreased rates of dNTP synthesis would also slow replication.。
清华大学环境工程原理（04--07本科期末试卷）
清华大学环境工程原理（反应工程原理部分）期末试卷（环4）清华大学本科生考试试题专用纸考试课程：环境工程原理（反应工程原理部分）环4年级2007年1月14日1、简要回答以下问题（每题6分，共24分）（1）什么是积分反应器和微分反应器？它们用于动力学实验时，各有什么优缺点？（2）反应器内的流体流动和混合状态会不会影响反应结果？为什么？（3）简要说明为什么气液相反应的宏观速率方程根据本征反应速率的快慢有不同的表达形式。
（4）在微生物反应中，细胞产率系数有哪几种表达方式？它们的取值范围是什么？2、某固定床固相催化反应器的有效体积为2m3，填充层空隙率为0.3。
反应物料以0.5m3/h的流量流入反应器。
试计算该反应器的空间时间，空间速度和实际平均接触时间。
若填充层空隙率提高到0.4，以上各参数如何变化？（10分）3、利用微生物细胞形成的颗粒状污泥处理只含有葡萄糖的废水，若不考虑处理过程中微生物的生长，仅把颗粒污泥看作固体催化剂，试回答以下问题：（15分）（1）在厌氧条件下进行该废水的处理，试分析该反应系统的微观过程。
请给出2种提高葡萄糖处理效率的途径，并分析其理论依据。
（2）在好氧条件下进行该废水的处理，试分析该反应系统的微观过程。
4、已知不可逆液相反应A →P的半衰期与A的初始浓度无关，试回答以下问题：（共30分）。
（1）给出该反应的动力学方程的一般形式。
（2）利用间歇反应器进行动力学实验（反应物料中A的初始浓度为50mol/m3），结果表明，在25oC时，A的转化率达到90％时的反应时间为2小时。
在同样的物料浓度和温度条件下，利用完全混合流反应器进行该反应时，要使A的去除率达到90％，反应物料需在反应器中平均停留多少时间？（3）该反应在有效容积为2m3的全混流连续反应器内进行，物料流量为1m3/h ，试计算A的转化率。
保持物料流量不变，将出口处物料回流（回流比为0.5），A的转化率如何变化？（4）该反应在有效容积为2m3的平推流反应器内进行，物料流量为1m3/h ，试计算A的转化率。
清华大学保送生考试历年面试试题
2010年清华大学自主招生面试题1.谈古论今──请任选中国古代和当代人物各一位进行对比阐释。
2.为什么要上大学，是否每个人都应该上大学？3.假设你是清华校长，说说明年怎么举办清华百年校庆？4.如果老子和孔子打架，你会帮谁？5.用一个成语来形容你眼中的哥本哈根气候会议。
6.用关键词概括2009年中国的现状。
7.中国是否已步入高房价时代，你的观点是什么？8.学历史与报读清华经管有什么关系？9.第一次和第二次世界大战期间，有什么重大的化学发明？10.一根火柴在不能折断的前提下，如何摆成一个三角形？11.汪洋上，只有一艘船，你只能带5个人走，你带谁？12.用成语形容一个企业家、一个政治家、一个思想家。
13.发表观点：张磊向耶鲁大学捐款8888888美元。
14.发表观点：武广高速铁路通车时速达世界第一。
15.为什么要把清华大学作为第一志愿填报？远程面试题目：1，谈古论今：任选中国古代和当代人物各一位作对比阐释。
2，为什么要上大学，是否每个人都应该上大学？3，假设你是清华校长，说说明年怎么举办清华百年校庆？【2009年面试题】●你如何看待我国四万亿救市计划？●如果你采访温总理，你将如何提问？要求：所提问题不能太大众化。
●如何看待情怀的含义。
●怎样做一名精英。
●你认为当大法官应具备怎样的素质？●谈谈对陈水扁家族弊案的看法●如何看待中学生早恋问题。
●神七发射最关键的两项技术是什么？●改革开放三十年所带来的启示和对后三十年的畅想●根据给出的数学概率中“标准分”的概念和计算公式解题。
●将区间(0，1)三等分，将中间段去掉，剩下的首尾两段重新拼接。
再重复上述做法，并无限操作下去。
请你分析以下几个数，哪些是出现在这个区间内的。
●请分析证明有理数和自然数一样多。
●请用一个成语形容当前世界的经济状况。
●第一次和第二次世界大战期间，有什么重大的化学发明？●奥运期间，北京施行的单双号车辆限行措施能否长期执行下去？●世界第一高楼是位于迪拜的迪拜塔，而上海正在建造的上海中心将成为中国第一高楼。
清华自主招生试题整理(舒展)
清华自主招生试题整理(2006--2012)2012年清华等五校自主招生试题--通用基础测试一、选择题1.若P 为ABC ∆内部任一点(不包括边界),且()(2)0PB PA PB PA PC -+-=,则ABC ∆必为( )A.直角三角形B.等边三角形C.等腰直角三角形D.等腰三角形 2.圆锥的轴截面SAB 是边长为2的等边三角形,O 为底面中心,M 为SO 的中点,动点P 在圆锥底面内(包括圆周).若MA MP ⊥,则P 点形成的轨迹的长度为( ) A.7 B.72C.3D.323.若以体积为54的正四面体的四个面的中心为顶点做一个四面体,则所作四面体的体积为( ) A.1B.2C.3D.44.某种型号的计算器上有一个特殊的按键,在计算器上显示正整数n 时按下这个按键,会等可能的将其替换为0,1,2,,1n - 中的任意一个数.如果初始时显示2011,反复按这个按键使得最终显示0,那么这个过程中,9,99,999都出现的概率是( ) A.4110 B.5110 C.6110 D.71105.已知,R αβ∈,直线1sin sin sin cos x y αβαβ+=++与1cos sin cos cos x y αβαβ+=++的交点在直线y x =-上,则cos sin c in s s o ααββ+++=( )A.0B.1C.1-D.2 6.设lg lg lg 111()121418x x xf x =+++++,则1()()f x f x +=( ) A.1 B.2 C.3 D.47.已知1cos 45θ=,则44sin cos θθ+=( )A.45B.35C.1D.45-8.若正四棱柱ABCD A B C D ''''-内接于一球,且1,'2AB AA ==,则点,A C 间的球面距离为( ) A.π4B.π2C.24π D.22π 9.若将满足,||3,||3x y x y <<<,且使得关于t 的方程33421()(3)0x y t x y t x y-+++=-没有实数根的点(,)x y 所成的集合记为M ,则由点集M 所确定的区域的面积为( ) A.814 B.834 C.815D.83510.已知椭圆22143x y +=的左,右焦点分别为12,F F ,过椭圆的右焦点作一条直线交椭圆于点,P Q ,则1F PQ∆的内切圆面积的最大值是( ) A.2516π B.925π C.1625π D.916π 二、解答题11.设2()(,)f x x bx c b c =++∈R .若||2x ≥时,()0f x ≥,且()f x 在区间(2,3]上的最大值为1,求22b c +的最大值和最小值.12.已知椭圆C :22221x y a b+=(0a b >>),其离心率为45,两准线之间的距离为252.(1)求,a b 之值；(2)设点A 坐标为(6,0),B 为椭圆C 上的动点,以A 为直角顶点,作等腰直角ABP ∆(字母,,A B P 按顺时针方向排列),求P 点的轨迹方程.13.已知数列{}n a 中的相邻两项212,k k a a -是关于x 的方程2(32)320k x k x k -++⋅=的两个根. (1)求数列{}n a 的前2n 项和2n S .(2)记1|sin |()(3)2sin n f n n =+,(2)(3)(4)()123456212(1)(1)(1)(1)f f f f n n n nT a a a a a a a a -----=++++ ,求证:15624n T ≤≤. 14.已知椭圆22221x y a b +=过定点(1,0)A ,且焦点在x 轴上,椭圆与曲线y x =的交点为,B C .现有以A 为焦点,过,B C 且开口向左的抛物线,其顶点坐标为(,0)M m ,当椭圆离心率满足2213e <<时,求实数m 的取值范围.15.已知从“神八”飞船带回的某种植物种子每粒成功发芽的概率都为13,某植物研究所进行该种子的发芽实验,每次实验种一料种子,每次实验结果相互独立.假定某次实验种子发芽则称该次实验是成功的,如果种子没有发芽,则称该次实验是失败的.若该研究所共进行四次实验,设ξ表示四次实验结束时实验成功的次数与失败的次数之差的绝对值 (1)求随机变量ξ的数学期望E ξ；(2)记“关于x 的不等式210x x ξξ-+>的解集是实数集R ”为事件A ,求事件A 发生的概率()P A .2012年清华大学保送生考试试题一、填空题1.若复数z 为虚数,且||1z =,Re ((12))1z i ⋅-=,则z =____________.2.在数列{}n a 中,11a =,12n n a a +=+.若数列11{}n n a a +的前n 项和为1837,则n =____________.3.现有6人会英语,4人会日语,2人都会(共12人),从其中选出3人做翻译,要求两种语言都有人做翻译,则符合条件的选法种数为____________.4.有一人进行投篮训练,投篮5次,失误一次扣1分,进一次得1分,连进2次得3分,连进3次得5分.若投篮的命中率为25,则投篮3次恰好得2分的概率为____________. 5.不定方程1111x y z++=()x y z ≤≤的解(,,)x y z 的组数为____________. 6.某几何体的三视图如右图所示,用,,αβγ分别表示主视图、左视图、俯视图,设,,S S S αβγ是实际几何体中能看到的面积,则,,S S S αβγ从小到大的顺序为____________.二、解答题 7.抛物线212y x =与直线l :4y x =+所围成区域中有一个矩形ABCD ,且点,A B 在抛物线上,点D 在直线l 上,其中点B 在y 轴右侧,且||2AB t =(0)t >.(1)当AB 与x 轴平行时,求矩形ABCD 面积()S t 的函数关系式； (2)当边CD 在直线l 上时,求矩形ABCD 面积的最大值. 8.已知函数3()2cos (sin 2)sin 32f x x x x =⋅+-,且[0,2]x π∈. (1)求函数()f x 的最大值和最小值； (2)求方程()3f x =的解.9.已知函数1()ln x e f x x-=,且数列{}n a 满足:11a =,1()n n a f a +=.(1)求证:10xxx e e ⋅-+≥恒成立； (2)求函数()f x 的单调区间；(3)求证:数列{}n a 单调递减,且0n a >恒成立.10.在OAB ∆内(含边界),其中O 为坐标原点,点A ,B 分别在在x 轴,y 轴的正半轴上,且2OA OB ==. (1)用方程或不等式表示OAB ∆围成的区域；(2)求证:在OAB ∆内的任意11个点,总可以分成两组,一组中各点的横坐标之和不大于6,另一组中各点的纵坐标之和不大于6.443俯视图左视图主视图γβα2011年清华等五校自主招生试题1.设*n N ∈,15n ≥.集合A ,B 都是{1,2,,}I n =⋅⋅⋅的真子集,A B =∅ ,A B I = .证明：集合A 或B 中,必有两个不同的数,它们的和为完全平方数.2.设函数2()(0)f x ax bx x a =++>,且方程()f x x =的两实数根是1x 和2x ,且10x >,211x x a->,又10t x <<.试比较()f t 与1x 的大小.3.求函数2(){|1|,|5|}f x max x x =+-的最小值,并求出相应的x 的值.4.已知()f x 是定义在R 上的不恒为0的函数,且对于任意的,a b R ∈,有()()()f a b a f b b f a ⋅=⋅+⋅. (1)求(0),(1)f f 的值；(2)判定函数()f x 的奇偶性,并证明你的结论； (3)若(2)2f =,(2)n n f u n-=,求数列{}n u 的前n 项和n S .5.已知关于x 的方程222(1)(1)ax a x +=-,1a >.证明方程的正跟比1小,负根比1-大.6.设a ,b 是两个正数,且a b <.当[,]x a b ∈时,246y x x =-+的最小值为a ,最大值为b ,求a ,b 值.7.某生产队想筑一面积为1442m 的长方形围栏,围栏一边靠墙.现有铁丝网50m ,筑成这样的围栏最少要多少铁丝网？已有的墙最多利用多长？最少利用多长？8.在正方形ABCD 中,过顶点D 作对角线CA 的平行线DE ,若CE CA =,且直线CE 交边DA 于点F .求证:AE AF =.9.设边长为,,a b c 的ABC ∆的重心为G ,外心为O ,外接圆半径为r ,||OG d =,求证:222229a b c r d ++=-. 10.设圆满足：①截y 轴所得弦长为2；②被x 轴分成两段弧,其弧长比为3:1,在满足上述条件的圆中,求圆心到直线:20l x y -=的距离最小的圆的方程.11.以A 为圆心,以2cos (0)2πθθ<<为半径的圆外有一点B . 已知2sin AB θ=,设过B 且与圆A 外切于点C 的圆的圆心为M .(1)当θ取某个值时,说明点M 的轨迹P 是什么曲线？(2)点M 是轨迹P 上的动点,点N 是圆A 上的动点,记MN 的最小值为()f θ.求()f θ的取值范围. 12.设数列{}n a 的前n 项和为n S ,点*(,)()nS n n N n∈均在函数32y x =-的图像上. (1)求数列{}n a 的通项公式； (2)设13n n n b a a +=⋅,n T 数列{}n b 的前n 项和,求最小正整数m ,使得20n mT <对所有*n N ∈都成立.13.已知函数()24f x x =-+,12()()()n nS f f f n n n=++⋅⋅⋅+.若不等式11n n n n a a S S ++<恒成立,求实数a 的取值范围.2010年清华等五校自主招生试题--通用基础测试一、选择题 1.设复数2()1a i w i+=+,其中a 为实数,若w 的实部为2,则w 的虚部为( ) (A)32- (B)12- (C)12 (D)322.设向量,a b 满足||||1a b == ,a b m ⋅= ,则||a tb + ()t R ∈的最小值为( )(A)2 (B)21m + (C)1 (D)21m - 3.无试题 4.无试题5.在ABC ∆中,若三边长,,a b c 满足3a c b +=,则tantan 22A C=( ) (A)15 (B)14 (C)12 (D)236.如图,ABC ∆的两条高线,AD BE 交于H ,其外接圆圆心为O ,过O 作OF 垂直BC 于F ,OH 与AF 相交于点G ,则OFG ∆与GAH ∆面积之比为( )（A ）1:4 (B)1:3 (C)2:5 (D)1:27.设()e (0)ax f x a =>.过点(,0)P a 且平行于y 轴的直线与曲线:()C y f x =的交点为Q ,曲线C 过点Q 的切线交x 轴于点R ,则PQR ∆的面积的最小值是( )(A)1 (B)2e2(C)e 2 (D)2e 48.设双曲线2212:(2,0)4x y C k a k a -=>>,椭圆2222:14x y C a+=.若2C 的短轴长与1C 的实轴长的比值等于2C 的离心率,则1C 在2C 的一条准线上截得线段的长为( )(A)22k + (B)2 (C)44k + (D)49.欲将正六边形的各边和各条对角线都染为n 种颜色之一,使得以正六边形的任何三个顶点作为顶点的三角形有三种不同颜色的边,并且不同的三角形使用不同的三色组合,则n 的最小值为( )(A)6 (B)7 (C)8 (D)910.设定点A B C D 、、、是以O 点为中心的正四面体的顶点,用σ表示空间以直线OA 为轴满足条件()B C σ=的旋转,用τ表示空间关于OCD 所在平面的镜面反射,设l 为过AB 中点与CD 中点的直线,用ω表示空间以l 为轴的180°旋转.设στ 表示变换的复合,先作τ,再作σ.则ω可以表示为( )(A)στστσ (B)στστστ (C)τστστ (D)στσστσ 二、解答题11.在ABC ∆中,已知22sin cos212A BC ++=,外接圆半径2R =. (1)求角C 的大小； (2)求ABC ∆面积的最大值.12.设A B C D 、、、为抛物线24x y =上不同的四点,,A D 关于该抛物线的对称轴对称,BC 平行于该抛物线在点D 处的切线l .设D 到直线AB ,直线AC 的距离分别为12,d d ,已知122d d AD +=.(1)判断ABC ∆是锐角三角形、直角三角形、钝角三角形中的哪一种三角形,并说明理由； (2)若ABC ∆的面积为240,求点A 的坐标及直线BC 的方程. 13.(1)正四棱锥的体积23V =,求正四棱锥的表面积的最小值； (2)一般地,设正n 棱锥的体积V 为定值,试给出不依赖于n 的一个充分必要条件,使得正n 棱锥的表面积取得最小值.14.假定亲本总体中三种基因型式：,,AA Aa aa 的比例为:2:u v w (0,0,0,21)u v w u v w >>>++=且数量充分多,参与交配的亲本是该总体中随机的两个. (1)求子一代中,三种基因型式的比例；(2)子二代的三种基因型式的比例与子一代的三种基因型式的比例相同吗？并说明理由. 15.设函数()1x m f x x +=+,且存在函数()s t at b ϕ==+1(,0)2t a >≠满足2121()t s f t s-+=. (1)证明：存在函数()(0),t s cs d s ψ==+>满足2121()s t f s t+-=； (2)设113,(),1,2,.n n x x f x n +=== 证明:1123n n x --≤. 2009年清华大学保送生暨自主招生北京冬令营1.有限条抛物线(线和线的内部)能够覆盖整个平面吗？证明你的结论.2.请找出一个含有323+的整系数多项式.3.求0.4 1.2|22|i i e e ++的模.4.现有一数字游戏:有1到100的数,两个人轮流写.设已经写下的数为123,,,,n a a a a .若一个数x 能表示 成112233n n x x a x a x a x a =++++ (123,,,,n x x x x 为非负整数),则这个数不能够再被写.(如若3,5已被写,则83151=⨯+⨯不能再写,133152=⨯+⨯,93350=⨯+⨯也不能再被写).现在甲和乙玩这个游戏,已知5,6已经被写,现在轮到甲写,问:谁有必胜策略？5.一条跑马比赛最多只能有八匹马参加,假设同一匹马参加每一场比赛的表现都是一样的.问：可以有不多 于50场比赛,完全将64匹马的实力顺序排序吗？6.现有100个集装箱,每个集装箱装2个物品.现在将集装箱的物品全部拆卸,并且所有物品被打乱顺序.问:最坏情况下,需要多少个集装箱再次把所有物品装好？7.现有一游戏：图上有若干个点和若干条线,甲提供若干个硬币,乙可以任意将这些硬币全部摆放在点上, 并且指定一个目标定点P .现定义操作:从一个至少有两个硬币的点取走2个硬币,在它一个相邻的点上放 回一个硬币.在指定的图下,甲最少提供多少个硬币,可以保证经过若干次操作,一定能使目标顶点P 至少 有一枚硬币？(1)图是一个包含5个点的线段；(2)图是一个包含7个点的圈.2009年清华大学自主招生数学试题(理科)1.设5151+-的整数部分为a ,小数部分为b .(1)求,a b ； (2)求222ab a b ++； (3)求2lim()n n b b b →∞+++ .2.(1)已知,x y 为实数,且1x y +=,求证:对于任意正整数n 都有222112n n n x y -+≥.(2)已知,,a b c 为正实数,求证:3a b cxy z++≥,其中,,x y z 为,,a b c 的一种排列. 3.请写出所有三个数均为质数,且公差为8的等差数列,并证明你的结论.4.已知椭圆22221x y a b+=,过椭圆左顶点(,0)A a -的直线L 与椭圆交于Q ,与y 轴交于R ,过原点与L 平行的直线与椭圆交于P ,求证:AQ ,2OP ,AR 成等比数列.5.已知sin cos 1t t +=,设cos sin s t i t =+,求2()1n f s s s s =+++ .6.随机挑选一个三位数m , (1)求m 含有因子5的概率； (2)求m 中恰有两个数码相等的概率.7.四面体ABCD 中,AB CD =,AC BD =,AD BC =, (1)求证:四面体每个面的三角形为锐角三角形；(2)设三个面与底面BCD 所成的角分别为,,αβγ,求证:cos cos cos 1αβγ++=. 8.证明:当,p q 均为奇数时,曲线222y x px q =-+与x 轴的交点横坐标为无理数.9.设1221,,,n a a a + 均为整数,性质P 为:对1221,,,n a a a + 中任意2n 个数,存在一种分法可将其分为两组,每组n 个数,使得两组所有元素的和相等,求证:1221,,,n a a a + 全部相等当且仅当1221,,,n a a a + 具有性质P .2009年清华大学自主招生数学试题(文科)1.已知数列{}n a 满足(1)n S na n n =+-, (1)求证:{}n a 是等差数列； (2)求(,)nn S a n所在的直线方程. 2.把12名职员(其中三名为男性)被平均分配到三个部门, (1)求此三名男性被分别分到不同部门的概率； (2)求此三名男性被分到同一部门的概率；(3)若有一男性被分到指定部门,求其他两人被分到其他不同部门的概率. 3.一元三次函数()f x 的三次项数为3a,()90f x x +<的解集为(1,2). (1)若()70f x a +=,求()f x 的解析式； (2)若()f x 在R 上单调增,求a 的范围. 4.已知22PM PN -=,(2,0)M -,(2,0)N ,(1)求点P 的轨迹W ； (2)直线(2)y k x =-与W 交于点A ,B ,求OAB S ∆. 5.设12nx x x a n++=, 12231()()()()()()n n n S x a x a x a x a x a x a -=--+--++-- .(1)求证:30S ≤. (2)求4S 的最值,并给出此时1x ,2x ,3x ,4x 满足的条件. (3)若50S <,求1x ,2x ,3x ,4x ,5x 不符合时的条件.2008年清华大学自主招生试题1.已知,,a b c 都是有理数,a b c ++也是有理数,证明:,,a b c 都是有理数.2.(1)一个四面体,证明:至少存在一个顶点,从其出发的三条棱组成一个三角形； (2)四面体一个顶点处的三个角分别是,,arctan 223ππ,求3π的面和arctan2的面所成的二面角.3.求正整数区间[],()m n m n <中,不能被3整除的整数之和.4.已知sin cos 1sin 2ααα+=+,求α的取值范围.5.若20lim ()(0)1,(2)()x f x f f x f x x →==-=,求()f x .6.证明:以原点为中心的面积大于4的矩形中,至少还有两个格点.2007年清华大学自主招生试题1.求函数()xe f x x=的单调区间及极值.2.设正三角形1T 的边长为a ,1n T +是n T 的中点三角形,n A 为n T 除去1n T +后剩下的三个三角形内切圆面积之和.求1lim nk n k A →∞=∑.3.已知某音响设备由五个部件组成,A 电视机,B 影碟机,C 线路,D 左声道和E 右声道,其中每个部件工作的概率如下图所示.能听到声音,当且仅当A 与B 中有一工作,C 工作,D 与E 中有一工作；且若D 和E 同时工作则有立体声效果.求:(1)能听到立体声效果的概率； (2)听不到声音的概率. 4.(1)求三直线60x y +=,12y x =,0y =所围成三角形内的整点个数； (2)求满足21260y x y x x y <⎧⎪⎪>⎨⎪+=⎪⎩的整数解个数.5.已知正三角形ABC ∆的顶点,B C 在双曲线1(0)xy x =>的一支上,且点A 的坐标为(1,1)A --. (1)求证:点,B C 关于直线y x =对称； (2)求ABC ∆的周长.6.对于集合2M R ⊆,称M 为开集,当且仅当0P M ∀∈,0r ∃>,使得20{}P R PP r M ∈<⊆.判断集合{(,)4250}x y x y +->与{(,)0,0}x y x y ≥>是否为开集,并证明你的结论. 2006年清华大学自主招生试题1.求最小正整数n ,使得11()223nI i =+为纯虚数,并求出I .2.已知a b 、为非负数,44,1M a b a b =++=,求M 的最值.3.已知sin sin cos θαθ、、为等差数列,sin sin cos θβθ、、为等比数列,求1cos2cos22αβ-的值. 4.求由正整数组成的集合S ,使S 中的元素之和等于元素之积.5.随机取多少个整数,才能有0.9以上的概率使得这些数中至少有一个偶数.6.抛物线2y x =上点P (非原点)的切线分别交,x y 轴于,Q R ,求PQ PR.7.已知函数()f x 满足:对任意的实数,a b 都有()()()f a b a f b b f a ⋅=⋅+⋅,且|()|1f x ≤,求证:()f x 恒为零.(可用以下结论:若lim ()0,()x g x f x M →∞=≤,M 为一常数,那么lim(()())0x f x g x →∞⋅=.)。
清华大学——精选推荐
清华⼤学清华⼤学清华⼤学⽣物学606<领先考研> 全套考研资料第⼀部分、历年考研试题1-1、清华⽣物学历年真题细胞⽣物学1998-2000，该专业近⼏年学校官⽅不出售历年试题，故本套资料只包含这⼏年的试题，若跨考收集到最新试题后会第⼀时间免费发送给购买套餐的考⽣。
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清华大学2019-2020学年第一学期《高等数学》本科测试题
n a n b 5 x 2+ 3x 3 x 2+ 5x(n →∞ n - ⎪l n n nn →∞清华大学2019-2020学年第一学期《高等数学》本科测试题考试课程一元微积分（B ）2020 年 10 月 25 日系名 班级姓名学号一．填空题（每空 3 分，共 15 题）（请将答案直接填写在横线上！）e tan x - e sin x1.lim x →0x - sin x= 。
2. lim sin πn →∞n 2 + n )=。
⎛ + ⎫n3. limn →∞⎝ ⎪= 。
2 ⎭n4.lim ⎛ n + ln n ⎫ln n = 。
⎝ ⎭5．当 x → 0 时， f( x ) =-x 的阶为 。
3 5 17 1 + 22n -16.已知 x n = • • • ...• 2 4 16 22 n -1 ，则lim x = 。
n →∞7. 设 x =(1+ a )(1+ a 2 )...(1+ a 2n),其中 a < 1，则lim x=。
8. 已知有整数n (n > 4)使极限 lim ⎡(x n + 7x 4+ 2)α - x ⎤ = A ≠ 0，则α=。
9.⎛ 23 -1 33 -1 43 -1 x →+∞ ⎢⎣⎥⎦ n 3 -1 ⎫ =。
lim 3 3 3... 3 ⎪ n →∞ ⎝2 +13 +14 +1 n +1 ⎭n10.lim ∑n →∞ k =1k 3 + 6k 2 +11k + 5 (k + 3)!= 。
⎛ 11. lim n →∞ ⎝ n 12 3 +12 + 22 n 3 + 22 + ...+ n 2 n 3 + n 2 ⎫ ⎪= 。
⎭ 12. lim 1!+ 2!+ ... + n != 。
n nn n!1+ x 2 2 )(α- β β 7 - 7 + 7 , 7 - 7 + 7 - 7 ,...k =113. 1 x 2+ 1- lim 2 = 。
x →0cos x - e x sin x 2n α=14. 已知limn →∞ n β- (n - 1)β =2017 ，则 。
清华大学理论力学kinematics2016A_468201697
清华大学本科生考试试题用纸 A 卷考试课程 《运动学》 年 月 日班级 姓名 学号 成绩一、 填空题（请将答案填入划线内，每空3分）(1) 刚体作平面运动时，若改变基点，则下面第 个结论是正确的。
① 刚体内任一点的牵连速度、相对速度、绝对速度都会改变； ② 刚体内任一点的牵连速度、相对速度都会改变，而绝对速度不会改变； ③ 刚体内任一点的牵连速度会改变，而相对速度、绝对速度不会改变； ④ 刚体内任一点的牵连速度、相对速度、绝对速度都不会改变。
(2) 点在运动过程中，在下列条件下，各作何种运动？（设t a 为切向加速度大小，n a 为法向加速度大小）①t a ≡0，n a ≡0；答： ； ②t a ≠0，n a ≡0；答： ； ③t a ≡0，n a ≠0；答： ； ④t a ≠0，n a ≠0。
答： 。
(3) 弯杆OABD 以匀角速度1ω绕轴O 转动，圆盘又以匀角速度2ω绕轴D 相对弯杆转动。
在图示瞬时OD 连线为水平，圆盘边缘上的E 点与D 点的连线为铅垂。
若以弯杆为动系，E 为动点，则E 点的牵连速度大小e =v ，科氏加速度大小=c a ， 并将e v 和c a 的方向在图上标出。
二、 计算题（本题20分）图示机构中，ABD 为一刚性直杆，A 、B 、D 处均为铰链，且12O O AB =，12O A O B r ==，套筒D 相对摇杆3O E 滑动，已知曲柄1O A 的转动方程为sin 43t πθ=（弧度），t 以秒计。
当24π=t 秒时，摇杆转过的角度为30ϕ=，3O 至ABD，求该瞬时摇杆3O E 的角速度及角加速度。
2第一(3)题图E三、计算题（25分）图示平面机构中，铅垂滑道中的滑块F 以匀速v 下滑，二连杆EF 与BE 带动齿轮A 沿固定齿轮O 作纯滚动，二轮半径均为R ，BE 杆在中点与水平滑道中的滑块D铰接，2,BD DE R EF ===，机构运动到图示位置时，O 、A 、B 处于同一铅垂线上，R DF 2=，求此瞬时：(1) 轮A 中心的速度A v ， 各刚体的角速度A ω、BE ω、EF ω； (2) 轮A 中心的加速度A a ， 各刚体的角加速度A ε、BE ε、EF ε。
清华大学本科生考试试题专用纸
清华大学本科生考试试题专用纸清华大学本科生考试试题专用纸 (B)考试课程 Biochemistry II 2008 年 1 月 20 日考场纪律,一、学生应试时必须携带学生证～以备查对～学生必须按照监考教师指定的座位就坐。
二、除答卷必须用的笔、橡皮及教师指定的考试用具外～不得携带任何书籍、笔记、草稿纸等。
三、答卷时不准互借文具,包括计算器,。
题纸上如有字迹不清等问题～学生应举手请监考老师解决。
四、学生应独立答卷～严禁左顾右盼、交头接耳、抄袭或看别人答卷等各种形式的作弊行为～如有违反～当场取消其考试资格～答卷作废。
五、在规定的时间内答卷～不得拖延。
交卷时间到～学生须在原座位安静地等候监考教师收卷后～方可离开考场。
系别_________ 班号_________ 学号_________ 姓名________ 成绩__________ 阅卷教师________题号一二三四五六七八九十总分成绩试题说明,1. 选择题单选题的正确答案只有一个，每题1分; 多选题的正确答案可能是两个或多个，每题1.5分, 请将正确答案填在适当的横线处,2. 问答题的分数标在题目后面，请将答案写在所提供的答题纸上,3. 本卷满分为100。
I. Multiple choice questions with only one correct answer (单选题):1. Carbon fixation involves a condensation reaction between CO and: 2A. 3-phosphoglycerate.B. phosphoglycolate.C. ribulose 1, 5-bisphosphate.D. fructose 6-phosphate.E. ribose 5-phosphate.Answer C2. The oxidation of 3 mol of glucose by the pentose phosphate pathway may result in theproduction of:A. 2 mol of pentose, 4 mol of NADPH, and 8 mol of CO. 2B. 3 mol of pentose, 4 mol of NADPH, and 3 mol of CO. 2C. 3 mol of pentose, 6 mol of NADPH, and 3 mol of CO. 2D. 4 mol of pentose, 3 mol of NADPH, and 3 mol of CO. 2E. 4 mol of pentose, 6 mol of NADPH, and 6 mol of CO. 2Answer C3. Purine nucleotide biosynthesis can be inhibited by which of the following? A. GTPB. UMPC. AMP第 1 页/共 12页D. ATPE. IDPAnswer C4. Antimycin A blocks electron transfer between cytochromes b and c. If intact 1mitochondria were incubated with antimycin A, excess NADH, and an adequate supplyof O, which of the following would be found in the oxidized state? 2A. Coenzyme QB. Cytochrome a 3C. Cytochrome bD. Cytochrome eE. Cytochrome fAnswer B5. Which of the following apolipoproteins is synthesized in theliver as part of the coat ofvery-low-density lipoproteins (VLDLs)?A. A-IB. B-48C. C-IID. B-100E. EAnswer D6. Insulin has many direct effects on various cell types from such tissues as muscle, fat,liver, and skin. Which of the following cellular activities is decreased following exposureto physiological concentrations of insulin?A. Plasma membrane transfer of glucoseB. Glucose oxidationC. GluconeogenesisD. LipogenesisE. Formation of ATP, DNA, and RNAAnswer C7. Which of the following statements correctly describes metabolism?A. Fatty acids can be precursors of glucose.B. High energy levels turn on glycolysis.C. Synthesis and degradation of a substance do not occur at the same time.D. Phosphorylation activates enzymes that store fat and glycogen.E. Guanosine triphosphate (GTP) is the major donor for enzyme phosphorylation.Answer C8. The reactions of the urea cycle occurA. In the cytosolB. In the mitochondrial matrixC. In the mitochondrial matrix and the cytosolD. In the lysosomesE. In peroxisomesAnswer C9. During fatty acid metabolism in humans, coenzyme A (CoA) is different from acyl第 2 页/共 12页carrier protein (ACP) in which one of the following ways? A. Binding of malonic acid with a phosphopantetheine B. Binding of fatty acidsC. Function in fatty acid oxidationD. Function in the cytosolE. Function in fatty acid synthesisAnswer C10. Which one of the following contributes nitrogen to both purine and pyrimidine rings?A. AspartateB. Carbamoyl phosphateC. Carbon dioxideD. GlutamineE. TetrahydrofolateAnswer A11. If a completely radioactive double-stranded DNA molecule undergoes two rounds ofreplication in a solution free of radioactive label, what is the radioactivity status of theresulting four double-stranded DNA molecules?A. Half should contain no radioactivityB. All should contain radioactivityC. Half should contain radioactivity in both strandsD. One should contain radioactivity in both strandsE. None should contain no radioactivityAnswer A12. In bacteria the elongation stage of protein synthesis does not involve:A. aminoacyl-tRNAs.B. EF-Tu.C. GTP.D. IF-2.E. peptidyl transferase.Answer D13. Which of the following statements correctly describes ketone bodies? A. They accumulate in the children with fatty acid oxidation disorders. B. They accumulate in diabetes mellitus after insulin therapyC. They are produced by muscle but not liverD. They include ,-hydroxybutyrate and acetoneE. They are found in blood but not in urineAnswer D14. Citrate has a positive allosteric effect on which of thefollowing enzymes?A. Pyruvate kinaseB. Acetyl CoA carboxylaseC. PhosphofructokinaseD. Fatty acid synthetaseE. EnolaseAnswer B第 3 页/共 12页15. Which one of the following tissues can metabolize glucose, fatty acid and ketonebodies for ATP production?A. LiverB. MuscleC. HepatocytesD. BrainE. Red blood cellsAnswer B16. Which of the following is/are true of glycogen metabolism? A. Cyclic AMP-activated protein kinase stimulates glycogen synthase. B. Phosphorylase kinase is activated by phosphorylation.C. Phosphorylase b is inactivated by phosphorylation.D. Cyclic AMP levels are lowered by epinephrine and glucagon stimulation of adenylatecyclase.E. Glycogen synthesis is stimulated by glucagon.Answer B17. The conversion of pyruvate to oxaloacetate is likely to require which of thefollowing coenzyme?A. BiotinB. Vitamin B 12C. Thiamine pyrophosphateD. Flavin adenine dinucleotideE. Pyridoxal phosphateAnswer A18. Attenuation in the trp operon of E. coli:A. is a mechanism for increasing the transcription of the structural genes when Trp ispresent in the growth mediumB. serves to fine-tune the transcription of the operon in responseto small changes in TrpavailabilityC. results from the binding of the Trp repressor to the operatorD. results from the presence of short leader peptides at the amino-terminal (5’) end ofeach structural geneE. is a mechanism for inhibiting translation of existing (complete) trp mRNAAnswer B19. The entry point into the citric acid cycle for odd-number fatty acid is A. FumarateB. PyruvateC. OxaloacetateD. CitrateE. Succinyl CoAAnswer E20. Guanosine triphosphate (GTP) is required by which of thefollowing steps in proteinsynthesis?A. Aminoacyl-tRNA synthetase activation of amino acidsB. Attachment of ribosomes to endoplasmic reticulum第 4 页/共 12页C. Translocation of tRNA-nascent protein complex from A to P sitesD. Attachment of mRNA to ribosomesE. Attachment of signal recognition protein to ribosomesAnswer C21. In the classical model of transcriptional control described by Jacob and Monod, arepressor protein binds toA. an enhancerB. an UAG sequenceC. an operatorD. a ribosomal-binding siteE. a TATA boxAnswer C22. Some photosynthetic prokaryotes use HS, hydrogen sulfide,instead of water as their 2photosynthetic hydrogen donor. How does this change the ultimate products ofphotosynthesis?A. Carbohydrate (CHO) is not produced. 2B. HO is not produced. 2C. Oxygen is not produced.D. ATP is not produced.E. The products do not change.Answer C23. Ames Test is used to investigate whether a chemical reagent is:A. oxidative.B. reductive.C. mutagenic.D. enzymatic.Answer C24. What does it mean when the genetic code is described as “degenerate”? A. It means that the translation machinery is prone to making errors. B. It means that there are fewer codons than amino acids.C. It means that two or more anticodons can base pair with the same codon.D. It means that more than one codon can specify the same amino acid.Answer D25. An E. coli strain lacking DNA polymerase I would be deficient in DNA A. transcriptionB. methylationC. splicingD. degradationE. repairAnswer E26. Consider the mRNA sequence: (5’) AAUGCAGCUUUAGCA (3’). The sequence ofthe coding strand of DNA is:A. (5’) ACGATTTCGACGTAA (3’)B. (3’) TTACGTCGAAATCGT (5’)第 5 页/共 12页C. (5’) AATGCAGCTTTAGCA (3’)D. (5’) AAUGCAGCUUUAGCA (3’)E. (3’) AATGCAGCTTTAGCA (5’)Answer C27. The enzyme(s) responsible for the transcription of eukaryotic rRNA is: A. RNA polymerase IB. RNA polymerase IIC. RNA polymerase IIID. RNA polymerase I and IIIE. RNA polymerase II and IIIAnswer D28. The steps of glycolysis between glyceraldehyde 3-phosphate and3-phosphoglycerate involve all of the following exceptA. ATP synthesisB. Utilization of P i+C. Oxidation of NADH to NADD. Formation of 1.3-bisphosphoglycerateE. Catalysis by phosphoglycerate kinaseAnswer C29. If the ,G’ of the reaction A B is –12 kJ/mol, which of the following statementsis correct? (Note the prime symbol means that a thermodynamic parameter is measuredat pH 7.0)A. The reaction will proceed spontaneously from left to right at the given conditions.B. The reaction will proceed spontaneously from right to left at standard conditions.C. The equilibrium constant favors the formation of A over the formation of B.D. The equilibrium constant could be calculated if the initial concentrations of A and B were known. oE. The value of ,G’ is also negative.Answer A30. Which of the following occurs in the degradation pathway of AMP?A. Adenine is converted to hypoxanthine.B. The end product is urea.C. AMP is converted to adenosine.D. Adenosine is converted to adenine.Answer A31. Which pair correctly matches the enzyme with its allosteric activator? A. hexokinase; ATPB. phosphofructokinase-1; AMPC. pyruvate kinase; ATPD. pyruvate dehydrogenase: NADHE. pyruvate carboxylase; ADPAnswer B32. The AAUAAA sequence on a RNA molecule marksA. The site where ribosomes bind to initiate polypeptide synthesis.第 6 页/共 12页B. The site where transcription stops.C. The site near which the primary transcript is cleaved and a poly (A) sequence isadded.D. The site where the release factor will bind to end polypeptide synthesis.E. The site where polyribonucleotide phosphorylase will add a stretch of randomsequences.Answer C33. Which of the following compounds serves as a primary link between the citric acidand the urea cycle?A. MalateB. SuccinateC. IsocitrateD. CitrateE. FumarateAnswer E34. What does the term “essential” mean in terms of amino acids in the human diet? A. Necessary for all the protein synthesisB. Only available in animal proteinC. Cannot be synthesized by humansD. Cannot be coded for by DNAE. Cannot be degraded in the liverAnswer C35. Methylation of GATC sequences at _____ is believed to control the replicationfrequencies in E. coli cells.A. oriCB. TERC. The leading strandD. The lagging strandAnswer A36. Indicate whether each of the following statements about phosphofructokinase-1 (PFK-1) is true (T) or false (F). (5 points)A. It is activated by AMP. T AnswerB. It is inhibited by citrate. T AnswerC. It is inhibited by fructose 2,6-bisphosphate. F AnswerD. It is inactivated by insulin. F AnswerE. ATP increases its K for fructose-6-phosphate. T Answer 0.537. Match the description to the appropriate enzyme from the list below. (5 points) A. Citrate synthase 5 AnswerB. Succinate dehydrogenase 1 AnswerC. Pyruvate dehydrogenase 4 AnswerD. Succinyl-CoA synthetase 2 AnswerE. Malate dehydrogenase 3 Answer(1). The only membrane-bound enzyme in the citric acid cycle.(2). Catalyzes the substrate-level phosphorylation of ADP or GDP.第 7 页/共 12页(3). Catalyzes the last reaction of the citric acid cycle.(4). Regulated by reversible phosphorylation.(5). Catalyzes the commitment step in the citric acid cycle.II. Multiple choice questions with two or more correct answers (多选题): 1. Indicate which of the following events can occur during the processing of eukaryoticmRNA transcripts.A. Attachment of a poly (A) tail to the 5’ end of the transcript.B. Methylation of all G residues.C. Excisions of introns.D. Conversion of standard bases to modified bases such as inosine.E. Splicing together of exons.Answers CE2. Which of the following statements about the pentose phosphate pathway are true? A. It generates NADH for reductive biosyntheses.B. The reaction occurs in the cytosol.C. It is more active in muscle cells than in fat-storage cells.D. It interconverts trioses, tetroses, pentoses, hexoses, and haptoses.E. Through this pathway, excess ribose 5-phosphate can be completely converted intoglycolytic intermediates.Answers BDE3. Which of the following would describe fatty acid transport into the mitochondrialmatrix?A. It is not the rate-limiting step in fatty acid oxidation.B. It is regulated by malonyl-CoA.C. The cytosolic and matrix pools of CoA are distinct and separate.D. Once fatty acyl groups have entered the matrix, they are committed to oxidation toacetyl-CoA.Answers BCD4. Although DNA replication has very high fidelity, mutations do occur. Which of thefollowing types of single base-pair mutations would be most likelyto be a lethalmutation?A. SubstitutionB. InsertionC. SilentD. DeletionAnswers BD5. Assuming the 5’ 3’ connection of writing nucleotide sequ ence, indicate which ofthe following mRNA codons can be recognized by the tRNA anticodon ICG. A. UGCB. CGAC. UGAD. CGUE. CGCAnswers BDE第 8 页/共 12页6. Which of the following compounds do not directly provide atoms to form the purinering?A. Aspartate.B. Carbamoyl phosphate.C. Glutamine.D. Glycine.E. CO. 2510F. N, N-methylenetetrahydrofolate. 10G. N-formyltetrahydrofolate. +H. NH. 4Answers BFH7. The synthesis of palmitate requires:A. 8 acetyl-CoA.B. 14 NADH.C. 7 ATP.D. 8 ATPE. 16 NADH.Answers AC8. Biosynthetic pathways that require NADPH include which of the following?) A. Gluconeogenesis.B. Fatty acid biosynthesis.C. Ketone body formation.D. Cholesterol biosynthesis.E. Deoxyribonucleotide biosynthesis.Answers BDE9. Which of the following are not true of cholesterol synthesis? A. Reduction of HMG-CoA to mevalonate is the commitment step. B. Acetyl-CoA is the ultimate source of all 27 carbon atoms of cholesterol. C. It is inhibited by elevated levels of intracellular cholesterol. D. It is hormonally activated by glucagon and inactivated by insulin. E. It occurs in the mitochondrial matrix.Answers DE10. Which of the following processes occur in the mitochondria of mammalian cells?A. fatty acid biosynthesisB. protein synthesisC. DNA synthesisD. ,-oxidation of fatty acidsE. the citric acid cycleAnswers BCDEIII. Short-answer questions (简答题): (18 points)1. Please explain briefly why gluconeogenesis does not occur in muscle or brain cells.(2 points)第 9 页/共 12页Answer:No glucose-6-phosphatase in muscle or brain cells.2. What effect would an inhibitor of acetyl-CoA carboxylase have on fatty acid synthesisand fatty acid oxidation? (4 points)Increase oxidation, but decrease synthesis.3. When the bacteria growth medium contains both lactose and glucose, what proteinswill be bound to the lac operon regulatory region? If only lactoseis in the growthmedium, what proteins will be bound to the lac operon regulatory region? (6 points)Answer: When both glucose and lactose are present, neither Lac repressor nor CRP will be bound. If only lactose is present, CRP will be bound.4. Why is the catabolism of isoleucine said to be both glucogenic and ketogenic?(6 points)IV. Comprehensive questions (综合题): (22 points)1. Explain fully the regulatory role of fructose 2,6-bisphosphate in gluconeogenesis and glycolysis, and the mechanism by which it affects fructose 1,6-bisphosphatase-1 andphosphofructokinase-1. How is the concentration of fructose 2,6-bisphosphate regulatedby hormones? (10 points)Answer:Fructose-2,6-bisphosphate activates glycolysis by activating PFK-1 and inhibits gluconeogenesis by inhibiting FBPase-1. (4 points) F-2,6-bisphosphate is synthesized from (and degraded to) fructose 6-phosphate in a reaction catalyzed by phosphofructokinase-2 (PFK-2) (and fructose-2,6-bisphosphatase (FBPase-2)). (2 points)Glucagon stimulates the phosphorylation of PFK-2/FBPase-2, which inhibits the PFK-2activity, but activates the FBPase-2 activity, thus inhibiting the glycolysis, butstimulating the gluconeogenesis. (2 points)Insulin has the opposite effect. (2 points)2. Describe three properties common to the reactions catalyzed by DNA polymerase,RNA polymerase, and reverse transcriptase. How is the enzyme polynucleotidephosphorylase different from these enzymes? Explain briefly how the enzyme polynucleotide phosphorylase was used for the elucidation of the genetic codes.(12points)Answer: these enzymes have at least four properties in common. (6 points)第 10 页/共 12页1. All are template directed, synthesizing a sequence complementary to the template.2. Synthesis occurs in a 5 ’to 3’ direction.3. All catalyze the addition of a nucleotide by the formation of a phosphodiester bond.4. All use (deoxy) ribonucleoside triphosphates (NTP or dNTP) as substrate, andrelease pyrophosphate as a product.The enzyme polynucleotide phosphorylase differs from these enzymesin points 1 and 4.It does not use a template, but rather add ribonucleotides to an RNA in a highly reversible reaction. The substrates (in the direction of synthesis) are ribonucleosidediphosphates (NDP), which are added with the release of phosphate as a product. (4points)This enzyme was used to synthesize RNA polymers of different sequences and frequencies of bases for the elucidation of the genetic codes. (2 points)第 11 页/共 12页。
清华大学本科生高等数学微积分A期末模拟试题解答
微积分A (A) 答案一． 填空题（每空3分，共15题）（请将答案直接填写在横线上！）1. ∑=∞→++ni n i n i n n1)2)((lim= 。
答案：2ln 3ln − 2.∫dx e x x 2= 。
答案：C e xe e x xxx++−2223. =∫→320)sin(limxdt t xx 。
答案：314.∫+xx t d t dx d 22)sin 1ln(= 。
答案：)sin 1ln(2)2sin 1ln(22x x x +−+5. 求曲线x e y =、x y πcos −=、21−=x 、21=x 围成的区域面积 。
答案：π22121+−−ee6.=−∫π3sin sin dx x x 。
答案：34 7.∫=+)1(2x x dx。
答案：C x x ++−)1ln(21ln 2 8.=+∫21xx dx。
答案：2ln 2)12ln(2−+ 9. 悬链线 )(21x xe e y −+=，1||≤x 的弧长 =L 。
答案：1−−e e10. 二阶方程 03'''2=−−y xy y x 的通解为 。
答案：x c x c y /231+= 11. 常微分方程组⎪⎩⎪⎨⎧+=+=z y dxdzzy dx dy22的通解为 。
答案：⎟⎟⎠⎞⎜⎜⎝⎛+⎟⎟⎠⎞⎜⎜⎝⎛−=⎟⎟⎠⎞⎜⎜⎝⎛−−x x x x e e C e e C z y 3321 12. 设2,xx 是二阶齐次线线性常微分方程解，则该微分方程为 。
答案：0222=+′−′′y xy x y 13. 0106=+′+′′y y y 的通解为 。
答案：x e C x e C y x xsin cos 3231−−+=14.xyx y dx dy tan +=的通解为 。
答案：Cx xy=sin15. 常微分方程26xy y xy −=−′的通解为 。
答案：8126x x C y +=二． 计算题（每题10分，共4题）（请写出详细计算过程和必要的根据！）1． 计算∫+4/022cos 3sin πxx dx. 解：原式 = ∫+4/022)tan 3(cos πx x dx∫=+=102tan 3tdt x t = 363arctan 311π=t。
清华大学电路原理期末考试试卷
清华大学电路原理期末考试试卷一、选择题（共40分）1. 电容是用来储存电荷和____________的元器件。
A. 放电B. 滤波C. 分频D. 变压2. 在电路中，电感的作用是____________。
A. 储存能量B. 调节电压C. 控制电流D. 放大信号3. 在二极管的正向工作状态下，电流与电压曲线____________。
A. 成正比B. 成反比C. 呈指数变化D. 无关4. 当放大器工作在饱和区时，输出信号会____________。
A. 失真B. 放大C. 削弱D. 滤波5. 三极管有三个引脚：发射极、基极和____________。
A. 控制极B. 进给极C. 集电极D. 收集极二、填空题（共30分）1. 当一个电压源的电压为60V，电阻为10Ω时，通过该电路的电流为______A。
2. 电流的方向是由电压最高的端点指向电压最低的端点，这是由于电压差会驱使自由电子向______移动。
3. 电路的单位是以电流的方向为基础，并将电流方向定义为电子的________。
4. 串联电路中的总电阻等于各个电阻的________。
5. 当一个电感的自感系数L为20mH，通过它的电流变化时，会产生一个与电流变化速度成比例的感应电动势，这个现象称为林肯电动势的________。
三、简答题（共20分）1. 请简要解释什么是电路的欧姆定律，以及该定律的公式表述。
2. 请简述什么是直流电和交流电，并说明它们之间的区别。
3. 简要描述一个共射放大器的工作原理，并解释为什么能放大输入信号。
四、计算题（共30分）1. 请计算并画出以下电路图中的电流I和电压V1、V2：（图略）2. 已知电容C1的容值为100μF，电压E为50V，电阻R为5kΩ，请计算电阻R上的电流I。
3. 已知电感L的电感系数为10mH，电流I的变化速度为5A/s，请计算电感L两端的感应电动势E。
五、综合应用题（共40分）某电路的输入信号电流为10mA，共射放大器的电流放大倍数为50倍，输出电流为多少？说明：假设共射放大器的电流放大倍数为Ic/Ib，其中Ic为集电极电流，Ib为基极电流。
清华北大自考本科
清华北大自考本科清华北大自考本科是指在清华大学和北京大学进行自主招生考试的本科教育项目。
这两所学校是中国顶级的高等学府，以教学和科研实力雄厚而著名。
自考本科是为那些不能通过高考进入这两所学校的学生提供一个重返校园的机会。
清华北大自考本科招生主要面向两类学生：一是普通高中毕业生，他们未能在高考中达到进入清华北大的分数线；二是已经参加过高考但未能被清华北大录取的学生，他们希望通过自考本科重新争取进入这两所学校。
清华北大自考本科招生要求学生具备一定的学术能力和自主学习能力。
学生须通过报名、考试和面试等环节，经过层层筛选才能被录取。
在报名阶段，考生需要提交个人简历、成绩单、高中毕业证书等材料。
接下来是考试环节，考生需要参加由清华北大组织的统一考试，考试内容主要涵盖语文、数学、英语等基础科目。
最后是面试环节，学生需要通过面试来展示自己的综合素质和学术能力。
清华北大自考本科的课程设置丰富多样，包括工科、理科、文科等各个领域的专业。
学生需要根据自己的兴趣和目标选择适合自己的专业课程。
在课程学习方面，学生将参加正常的课堂教学，并且需要完成课程作业和考试。
学生还可以选择参加实习或者参与科研项目，以增加实践经验和科研能力。
通过清华北大自考本科毕业后，学生将获得与全日制本科毕业生相同的学位和学历。
这意味着他们具备了与其他大学毕业生相同的就业竞争力。
许多用人单位对清华北大学位持有者给予高度关注和青睐，这也为学生的就业和发展提供了良好的机会。
总之，清华北大自考本科是一条重返校园的道路，为那些希望进入清华北大的学生提供了一个重新实现梦想的机会。
通过努力学习和自主学习，学生可以在清华北大获得与其他本科生相同的教育和就业机会。
清华北大自考本科具有较高的教育质量和就业保障，对于希望进入这两所学校的学生来说是一个很好的选择。
清华大学本科试题及答案
清华大学本科试题及答案一、单项选择题（每题2分，共20分）1. 清华大学的校训是什么？A. 厚德载物B. 实事求是C. 独立思考D. 创新求实答案：A2. 清华大学位于哪个城市？A. 北京B. 上海C. 广州D. 深圳答案：A3. 清华大学的创办时间是？A. 1898年B. 1900年C. 1911年D. 1925年答案：C4. 清华大学的校花是什么？A. 牡丹B. 菊花C. 梅花D. 荷花答案：D5. 清华大学的校歌名称是什么？A. 清华之歌B. 清华校歌C. 清华园D. 清华梦答案：B6. 清华大学的校长是谁？A. 邱勇B. 陈吉宁C. 张希D. 施一公答案：A7. 清华大学的图书馆藏书量是多少？A. 500万册B. 600万册C. 700万册D. 800万册答案：B8. 清华大学的校庆日是哪一天？A. 5月4日B. 6月1日C. 7月7日D. 8月8日答案：A9. 清华大学的校徽颜色是什么？A. 蓝色B. 红色C. 绿色D. 黄色答案：A10. 清华大学的校训“厚德载物”出自哪部经典？A. 论语B. 孟子C. 大学D. 中庸答案：B二、填空题（每空1分，共10分）1. 清华大学的校训“厚德载物”出自《________》一书。
答案：《周易》2. 清华大学的校歌《清华校歌》由_______作词，_______作曲。
答案：乔羽，赵元任3. 清华大学的校花荷花象征着_______。
答案：纯洁、高雅4. 清华大学的图书馆名为_______。
答案：清华大学图书馆5. 清华大学的校庆日是每年的_______。
答案：5月4日三、简答题（每题10分，共20分）1. 请简述清华大学的历史沿革。
答案：清华大学的历史可以追溯到1911年，当时名为清华学堂。
1912年更名为清华学校，1925年设立大学部，1928年更名为国立清华大学。
清华大学是中国著名的高等学府，也是中国最早设立的现代大学之一。
2. 请简述清华大学的学术特色。
清华大学历年面试试题
基本上，我们的同学对这一题的回答都是“不知道”三个字，王老师对此表示遗憾：“即使不知道题目的确切答案，为什么就用‘不知道’三个字敷衍过去呢？你可以叙述一下‘知道’的程度啊。是只知道有彩虹这个现象，还是知道彩虹形成的原理但记不清彩虹有哪些颜色，还是知道彩虹有七种颜色但记不清分布，这些程度都是不同的，从你的答案中考官很容易发现你的长处是什么。“对于未知的问题，我们应该更好的与考官沟通，这就是面试中很重要的非知识性因素。”
2010年清华大学自主招生面试题
1.谈古论今──请任选中国古代和当代人物各一位进行对比阐释。
2.为什么要上大学，是否每个人都应该上大学？
3.假设你是清华校长，说说明年怎么举办清华百年校庆？
4.如果老子和孔子打架，你会帮谁？
5.用一个成语来形容你眼中的哥本哈根气候会议。
6.用关键词概括2009年中国的现状。
6、"神六"发射的过程中，哪些现象能用物理原理解释？
7、火箭喷射过程中有什么化学反应？
8、台风过境哪些地区受到的影响最大？为什么？
9、杭州到上海的距离，光速需要多少时间？
10、如果你家里连续几天没人，怎么样才能让花盆里的花不被干死？
11、为什么三角形的面积是底乘以高除以2？
12、（面对一浙江考生）从北京到达浙江，光要行驶多长时间？
交大附中的物理高级教师王老师表示交大附中的物理高级教师王老师表示交大附中的物理高级教师王老师表示随着社会的知识价值取向发生变化随着社会的知识价值取向发生变化随着社会的知识价值取向发生变化本科教育已不再本科教育已不再本科教育已不再是所谓的精英教育是所谓的精英教育是所谓的精英教育本科毕业也不一定就能直接成为社会最前沿最顶尖的人才大学本科毕业也不一定就能直接成为社会最前沿最顶尖的人才大学本科毕业也不一定就能直接成为社会最前沿最顶尖的人才大学教育更像是一种文化和国民素质的培养
清华大学本科生考试试题专用纸_1
---------------------------------------------------------------最新资料推荐------------------------------------------------------ 清华大学本科生考试试题专用纸清华大学本科生考试试题专用纸（ A）考试课程工程热力学 2004 年 1 月 6 日一、简答题，简要说明理由（每题 4 分，共 40 分） 1. 在蒸汽轮机动力循环中，蒸汽初终态参数如何影响热效率？一般采用哪些措施提高热效率？ 2. 什么是对比参数，什么是对比态原理？对比态原理用来解决什么问题？ 3. 对定量湿空气进行定压加热，试说明水蒸气分压、露点温度、相对湿度、含湿量、熵的变化。
1COOCO=+的反应，初时处于化学平衡状态，由于某种原因使得系统4. 对于222压力升高，请问化学平衡向正方向还是反方向移动，说明理由。
5. 影响活塞式发动机热效率高低的最主要因素是什么？6. 在0℃以下，有没有液态水（水）存在，有没有气态水（蒸汽）存在。
7. 什么是化学反应的热效应，它是状态量还是过程量？ 8. 已知101.325kPa，25℃下，O2与N2的摩尔熵分别为Sm,O2(101.325kPa,25℃)与Sm,N2(101.325kPa,25 ℃ ) ，则101.325kPa,25 ℃ 下空气的摩尔熵Sm,air(101.325kPa,25℃)应为多少，已知摩尔成分为 xO2与 xN2。
9. 在有化学反应的热力学第一定律的计算中，为什么要引入标准生成焓？ 10. 从能量利用的角度，简要说明热泵供暖与电加1 / 4热器取暖的优劣。
二、填空题（每空 1 分，共 10 分） 1. 吉布斯方程之一， dg= ( )dT + ( )dp，写出对应的两个偏导数（）（）和 Maxwell 关系式（）。
2. 在标准状态下，燃料高热值与低热值之差是（）。
cvpde_midexam_2021aut2021914114622731
20 ξ清华大学本科生期中考试试题复变函数与数理方程（2015年秋）学 号:姓 名: 班 级: （注：请在答题纸上写出完整的计算过程）一、试解决下列解析函数基本问题（2分）(1) 已知解析函数f (z )的实部u (x, y ) = x 2 − y 2以及f (0) = −i ，试求该解析函数。
(2) 计算积分∫ℓ f (z )d z ，这里f (z ) = e ，曲线ℓ分成三段：za. 从0到1 + i 的直线；b. 从1 + i 到1 − i 的（最短）圆弧线，且圆心为0，半径为√2；c. 从1 − i 到−i 的直线。
二、试求下列函数展开式（8分）(1) 求f (z ) = √z ，在z 0 = 1的泰勒展开式； (2) 求f (z ) = ∫ z sin ξ d ξ，在z 0 = 0的泰勒展开式；(3) 求f (z ) = 1 z 2−3z +2，在0 < |z | < 1或|z − 1| > 1内的洛朗展开式。
z + (2z z ∫ d p 2(2) I = ∫ π tan(θ + 1i)d θ; −∞ i ω 2π 2三、试确定下列函数的奇点及类型并计算在奇点处的留数，不考虑∞点的情况（6分）(1) f (z ) = tan z ;1 (2) f (z ) = ez ; (3) f (z ) = e 2i z .四、试计算下列积分问题（9分）(1) I = H |z |=1 sin 1d z ; 0 (3) I = ∫ +∞ 2 e 2i x d x .五、试求解或证明下列积分变换相关问题（10分）(1) 已知f ˆ(ω) = F [f (x )]，试证：f ˆ(−ω) = F −1[f (x )];(2) 已知 ∞ −∞ e −x 2 d x = √π，试求：F [e −x 2+i x ];(3) 考虑函数g (ω) = √1 + √ π δ(ω)，试求F −1[g (ω]; (4) 已知f (x ) = 2H (x − 1) − 3δ(x + 1)，试求F [f (x )];(5) 已知f ¯(p ) = L [f (t )]，试证：d 2 f ¯(p ) = L [t 2f (t )]; (6) 已知f (t ) = t cos(2t )，试求L [f (t )].(x −1)(x 2+1)。
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考试课程控制工程基础（A卷）2006年6月14日
1.设有一个系统如图1所示，k1=1000N/m,k2=2000N/m, D=10N/(m/s)，当系统受到输入信号 的作用时，试求系统的稳态输出 。(15分)
图1
2.设一单位反馈系统的开环传递函数为
现有三种串联校正装置，均为最小相位的，它们的对数幅频特性渐近线如图2所示。
（2）特征方程为
特征根为 欲使系统稳定，需满足条件
使系统稳定的K值范围为
（3）若 ，则
误差脉冲传递函数
误差为
利用终值定理可以求出系统的稳态误差：
6．解：（1）
（2）不影响主回路纯积分环节个数，型次均不变。
（3）保证系统稳定的前提下，改变位置环校正形式由P校正改为PI校正即可。
(4)β用于调节速度环反馈深度，改变反馈校正参数，使系统动态特性更好，同时防止出现饱和非线性。
若要使系统的稳态误差不变，而减小超调量，加快系统的动态响应速度，应选取哪种校正装置？系统的相角裕量约增加多少？(10分)
(a)
(b) (c)
图2
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3.对任意二阶环节进行校正，如图3，如果使用PD控制器，KP,KD均为实数，是否可以实现闭环极点的任意配置？试证明之。(15分)
图3
4.一个未知传递函数的被控系统，先未经校正，构成单位反馈闭环。经过测试，得知闭环系统的单位阶跃响应如图4所示。
（1）以upi作为输入，以x作为输出，画出系统对应的方块图，并注出每个方块输入输出端的量纲表达；(12分)
（2）对于图6所示系统，电流调节器如果采用P校正或PI校正，该位置伺服系统型次是否改变？速度调节器采用P校正或PI校正，该位置伺服系统型次是否改变？试说明之；(5分)
（3）试改变位置环校正形式或参数，使当输入斜坡信号时，引起的位置误差为零；(5分)
问：(1)系统的开环低频增益K0是多少？(5分)
(2)如果用主导极点的概念用低阶系统近似该系统，试写出其近似闭环传递函数；(5分)
（3）如果采用PI形式的串联校正 ，KI在什么范围内时，对原开环系统相位裕量的改变约在 之间？(5分)
图4
5．已知计算机控制系统如图所示，采用数字比例控制 ，其中K>0。设采样周期T=1s
（4）电位器β值起什么作用？(3分)
（5）在实验时，如何测试 值？试说明其根据。(5分)
图6
第3页/共3页
参考答案：A卷
1.解：
然后通过频率特性求出
2.解：选择(a)，相角裕量约增加35°。
3.解：该题闭环极点能实现任意配置。
4.解：（1） ，
(2)
（3）位置环打开，使位置环处于开环状态，输入电压 ＝－0.5V左右,测速机输出不饱和情况下，测量数字电位计波形如图所示。记其斜率，位置环的速度品质系数 。
图5
（1）试求系统的闭环脉冲传递函数 ；(5分)
（2）试判断系统稳定的K值范围；(5分)
（3）当系统干扰 时，试求系统由干扰引起的稳态误差。(5分)
第2页/共3页
6．针对本学期直流电动机位置伺服系统教学实验，基本原理图见图6，其中，电枢控制式直流电动机电枢电阻为1.7Ω，电感为3.7mH，反电势系数Ce为0.213V/(rad/s)，力矩系数Cm为0.213Nm/A，等效到电动机轴上的总转动惯量为392×10-6Nms2，设R2=470KΩ，α=0.9，速度调节器传递函数为6，电流调节器传递函数为 ，功放Kpwm=1，霍尔电流传感器传递函数为2V/A，β=0.8，测速机传递系数为24V/1000rpm，数字电位计传递系数为0.243V/rad，