LECTURE 3 Ancient Mathematics(II)
LECTURE 3 Ancient Mathematics(II)
CBS 8536
Lecture 3 Ancient Mathematics (II): Mesopotamia 巴比伦倒数表 2 3 4 5 6 8 9 10 12 15 30 20 15 12 10 7,30 6,40 6 5 4 16 18 20 24 25 27 30 32 36 40 3,45 3,20 3 2,30 2,24 2,13,20 2 1,52,30 1,40 1,30 45 48 50 54 1 1,4 1,12 1,15 1,20 1,21 1,20 1,15 1,12 1,6,40 1 56,15 50 48 45 44,26,40
229. If a builder has built a house for a man, and has not made his work sound, and the house he built has fallen, and caused the death of its owner, that builder shall be put to death. 230. If it is the owner's son that is killed, the builder's son shall be put to death. 231. If it is the slave of the owner that is killed, the builder shall give slave for slave to the owner of the house. 232. If he has caused the loss of goods, he shall render back whatever he has destroyed. Moreover, because he did not make sound the house he built, and it fell, at his own cost he shall rebuild the house that fell. 233. If a builder has built a house for a man, and has not keyed his work, and the wall has fallen, that builder shall make that wall firm at his own expense.
最有趣的50个数学故事润润年的故事
最有趣的50个数学故事润润年的故事1.在遥远的古代,有一位名叫润润年的数学家,他发明了一个简单而又巧妙的数学游戏。
In ancient times, there was a mathematician named Run Runnian who invented a simple and clever mathematical game.2.润润年的数学游戏通过使用数字和符号来组成算式,让人们猜测出一个特定的结果。
Run Runnian's mathematical game involved using numbers and symbols to form equations for people to guess a specific result.3.他的游戏在当时非常流行,人们竞相参与,并且争相破解游戏中隐藏的数学规律。
His game became popular at the time, and people competed to solve the hidden mathematical patterns in the game.4.有一次,润润年设计了一道看似简单的数学题,却让所有的数学家都束手无策。
One time, Run Runnian designed a seemingly simple math problem that stumped all the mathematicians.5.题目是:用九个相同的数字,通过加减乘除的运算,使得最终结果等于100。
The question was: using nine identical numbers, and performing addition, subtraction, multiplication, and division operations, make the final result equal to 100.6.让数学家们感到困惑的是,他们试图用各种算式来解答这个问题,却总是得到不符合要求的结果。
古代埃及数学(AncientEgyptianMathematics)
古代埃及数学 (Ancient Egyptian Mathematics)非洲东北部的尼罗河流域,孕育了埃及的文化。
在公元前3500-3000年间,这里曾建立了一个统一的帝国。
目前我们对古埃及数学的认识,主要源于两份用僧侣文写成的纸草书,其一是成书于公元前1850年左右的莫斯科纸草书,另一份是约成书于公元前1650年的兰德(Rhind)纸草书,又称阿梅斯(Ahmes)纸草书。
阿梅斯纸草书的内容相当丰富,讲述了埃及的乘法和除法、单位分数的用法、试位法、求圆面积问题的解和数学在许多实际问题中的应用。
古埃及人使用象形文字,其数字以十进制表示,但并非位值制,而分数还有一套专门的记法。
由埃及数系建立起来的算术具有加法特征,其乘、除法的计算也只是利用连续加倍的方法来完成。
古埃及人将所有的分数都化成单位分数(分子为1的分数之和),在阿梅斯纸草书中,有很大一张分数表,把分数表示成单位分数之和。
古埃及人已经能解决一些属于一次方程和最简单的二次方程的问题,还有一些关于等差数列、等比数列的初步知识。
如果说巴比伦人发展了卓越的算术和代数学,那么在另一方面,人们一般认为埃及人在几何学方面要胜过巴比伦人。
一种观点认为,尼罗河水每年一次的定期泛滥,淹没河流两岸的谷地。
大水过后,法老要重新分配土地,长期积累起来的土地测量知识逐渐发展为几何学。
埃及人能够计算简单平面图形的面积,计算出的圆周率为3.16049;他们还知道如何计算棱椎、圆椎、圆柱体及半球的体积。
其中最惊人的成就在于方棱椎平头截体体积的计算,他们给出的计算过程与现代的公式相符。
至于在建造金字塔和神殿过程中,大量运用数学知识的事实表明,埃及人已积累了许多实用知识,而有待于上升为系统的理论。
印度数学 (Hindu Mathematics)印度是世界上文化发达最早的地区之一,印度数学的起源和其它古老民族的数学起源一样,是在生产实际需要的基础上产生的。
但是,印度数学的发展也有一个特殊的因素,便是它的数学和历法一样,是在婆罗门祭礼的影响下得以充分发展的。
Pure Mathematics 2
A-Level MathematicsP2Catalog 目录C HAPTER 1A LGEBRAIC M ETHODS代数方法 (1)Key Concepts 关键概念 (1)C HAPTER 2C OORDINATE G EOMETRY IN THE (X, Y)P LANE 平面坐标几何 (1)Key Concepts 关键概念 (2)C HAPTER 4T HE B INOMIAL E XPANSION 二项展开式 (2)Key Concepts 关键概念 (2)C HAPTER 5S EQUENCE AND S ERIES 数列与级数 (3)Key Concepts 关键概念 (3)C HAPTER 6T RIGONOMETRIC I DENTITIES AND E QUATIONS 三角恒等式与方程 (3)Key Concepts 关键概念 (3)C HAPTER 7D IFFERENTIATION 微分 (6)Key Concepts 关键概念 (6)C HAPTER 8I NTEGRATION 积分 (6)Key Concepts 关键概念 (6)Pure Mathematics 2Name: Date: Teacher:Chapter 1 Algebraic Methods 代数方法Key Concepts 关键概念The Factor theorem 因子定理 1.is a factor of or 2.is a factor of or The remainder theorem 余数定理Chapter 2 Coordinate Geometry in the (x, y) Plane 平面坐标几何Key Concepts 关键概念Midpoint 中点公式 Midpoint ofand isDistance 距离公式Equation of a circle 圆的方程 center 圆心 (a, b) radius 半径)(p xpf -Û=)()(x f )()()(xg p x x f -=)(0)(b ax baf -Û=)(x f )()()(xg b ax x f -=)()()()(a bf remainder remainder xg b ax x f =Þ++=),(111y x p )(222,y x p )2,22121y y x x ++(21221221)()(y y x x P P -+-=r 222)(r b y a x =-+-)(Chapter 3 Exponentials and Logarithms 指数与对数Changing the base of a logarithm 换底公式Chapter 4 The Binomial Expansion 二项展开式Key Concepts 关键概念Factorial 阶乘Arrangements(Permutation)排列Combination 组合Binomial Expansion 二项展开式axx b b a log log log =n n ´´´´=!321!)!(!)1()2()1(r n n r n n n n A r n-=+-´´-´-´=!)!(!!!r n r n r A C r nr n-==å=-=+nr rr n r n nb a C b a 0)(Chapter 5 Sequence and Series 数列与级数Recurrence relations 递推关系 u "#$=f(u "), u )=aChapter 6 Trigonometric Identities and Equations 三角恒等式与方程Key Concepts 关键概念Angles in Standard Position 标准角An angle is in standard position if its vertex is at the origin and its initial side lies on the positive x -axis.Coterminal Angles 终边相同的角The Coterminal angles with θ are angles whose terminal sides coincide, i.e. θ+k ·360º,.General Definition 三角函数的一般定义k Z ÎChapter 7 Differentiation 微分Key Concepts 关键概念First derivative 一阶导数判断函数的单调性increasing ↑Local maximum极大值decreasing ↓decreasing ↓Local minimum极小值increasing ↑Second derivative 二阶导数 If ,then1) ,the point is a local minimum. 2) ,the point is a local maximum.Graph of &Maximum or Minimum 最大值或最小值 Cuts the -axis 穿过x 轴 Point of inflection 拐点 Touches the -axis 接触x 轴 Positive gradient (increasing) 递增 Above the -axis 在x 轴上方 Negative gradient (decreasing) 递减 Below the -axis 在x 轴下方Vertical asymptote 竖直渐近线 Vertical asymptote 竖直渐近线Horizontal asymptote 水平渐近线Horizontal asymptote at the -axis 水平渐近线x 轴Chapter 8 Integration 积分Key Concepts 关键概念Definite Integrals 定积分Area 面积The area between the function ,the -axis and the lines and isArea between two curves 曲线间的面积x ),(0-x ¥0x )(+¥,0x )('x f 0!00!)(x f x ),(0-x ¥0x )(+¥,0x )('x f 0!00!)(x f 0)('=a f 0)(''!a f ())(,a f a 0)(''!a f ())(,a f a )(x f )('x f )(x f y =)('x f y =x x x x x ò-==bab aa fb f x f dx x f )()()()(')(x f y =x a x =b x =ò=badxx f Area )([]dxx g x f Area baò-=)()(Trapezium rule 梯形法,,,)(x f y =x ∈[]b a ,n a b h -=nha x h a x h a x a x n +=+=+==!,2,,210)(),2(),(),(210nh a f y h a f y h a f y a f y n +=+=+==![]n n bay y y y y h dx x f +++++»-ò)(221)(1210!。
新编大学英语视听说教程第三册听力答案
Keys to the texts of book3Unit sixPart OneExercise 2 :1. d2. a3. b4.c5. c6. aExercise 31. farm animals; hold; feed2. small pets; toys3. buy; toss them out4. real shame5. dangerous; destructive ; bring diseases6. have a points7. humanely; limit8. time; money; warm place9. isolated; company 10. storm of debatePart TwoListening IExercise 11. b2. c3.d4. bExercise 21 T 2. F 3.F 4. F 5. T 6. TListening IIExercise 11.Her son.2. snake; crocodile3.quiet4.picky/particular Exercise 21. big2. dogs3.tiger4. bit5. cat6. friendly 6. eat 8. clear 9.wash 10.space 11. noisy 12. train 13. speak 14.keep 15. quietPart ThreePractice oneExercise 1(1,4,5,6,7,) yesExercise 21 a 2.b 3.c 4.a 5. dPractice TwoExercise 1(1,3)yesExercise 21. for free2.small donation3. 204. hundreds5. eat little6.50 7. animal shots 8. numerous shots 9. diseasesPractice ThreeExercise 11.c2.b3.d4.c5.aExercise 2(2,5.6.7) yesPractice FourExercise11 c 2.c 3. a 4.b 5. dExercise 21.crowding water; grass;2. what is happening; low3.targetpractice; over the area4. gotten rid of; stayPart Four Testing yourselfSection I1.f2. t3. f4. t5. f6. t7. t 8. f 9. f 10. tSection II1. a2. c3. d4. b5. b6. bSection III1. conserve nature2. donation3. eggs4. meat5. oil6. handbags7. shoes8. fur coats9. ivory 10. reduced 11. 5000 12. embarrassed 13. advertise the furs 14. export bans 15. importation 16.turtleKeys to the texts of book3Unit sevenPart OneExercise 2 :1. C2. B3. C4. D5. AExercise 31. fun holiday2. natural scenery ;historic interest3. Summer ; too cold4. long history ; vast territory5. feed the monckys6. as many places as possible.7. you name it8.. host city ;ancient civilization; modern architecture9. city wall; treat yourselves 10.express train Part TwoListening IExercise 11 c 2. b 3. b 4. c 5. d 6. aExercise 21. SN 862 17:50 on July 112. SN863 15:10 on July 14 Listening IIExercise 1(B.C.F.G.H.I) yesExercise 2Part one 1.F 2. T 3.T 4.T Part two 1.F 2.F 3T 4.F Part three1.T2.T3.T .4.T5.FPart ThreePractice oneExercise 1Advantages: ADH ; disadvantages: EExercise 21 c 2.d 3.b 4. cPractice TwoExercise 11. seedypany3.shared4. noisy5. early6. private7. booking8. convenient9. restaurant 10.bathroomsExercise 21. T2. F3. T4. T5.6. TPractice ThreeExercise 11. Fuel2. Water3. Vehicles4. ClothesExercise 21.passing lorries 6. self-sufficient2.enough water 7. car repairs3.drinking 8. cost much4.vehicle 9. sweaters5.emergency 10. European winter Practice FourExercise1a. actress Bb. actress and author A1. a2.b3.b4. a5.b6. a7. a8. b Exercise 21.T . F 3. F 4. F 5. F 6. T 7. F 8.TPart Four Testing yourselfSection I1.F2.T3.T4. T5. FSection II My history teacher1. b2. c3. c4. c5. a6. dSection III1. d2. b3.c4. d5. aKeys to the texts of book3Unit eightPart OneExercise 2 :Section A5,7,1,4,6,3,2Section B1)F H I 2)A 3) C E J 4) B D G JExercise 31.passed out; in shock2. back and forth3. knows the reason why4. no doubt; living without her5. plays a great role6. brilliant boy7. very few cases8. deny; nature9. bright or not; should; CAN 10. thicker than; genetic relationship 11. react to; not to mention 12. hard decision; involvedPart TwoListening IExercise 11 F 2. F 3. T 4. F 5. TExercise 21. genes2. sex3. blood4. tooth5. mirror6. left-handed7. right-handed 8. language 9. young 10. alike 11. separated 12. apart 13. career 14. interestsListening IIExercise 11.b2.d3. a4. dExercise 2(1,4,6,8,10,11,12 ) yesPart ThreePractice oneExercise 1(3,6,9) yesExercise 21. six2. four3.1954. broad5. slim6. extended7. short8. elbows9. knees 10. size-14 11. lungs 12. heartPractice TwoExercise 11. 19212. fit the child3. ordinary schools4. adult conception5. BarbaraExercise 21. good being2.wise3. realistic4. psychology5. freedom to be themselves6. discipline7. suggestion8. religious instruction9. scholars 10. scholars 11. street cleanersPractice ThreeExercise 11. c2.b3. c4. bExercise 21 F 2. F 3. T 4. F 5. FPractice FourExercise11 a 2. c 3. d 4. aExercise 21.F2. T3.T4. T5.T6. TPart Four Testing yourselfSection I1.talent2.dancing3.creative4. early5. physical6. energy7. less8. curiosity9. particularly 10. cause 11. fundamental 12. meaning 13. superior 14. fluently 15. read 16. exceptional 17 preparation 18. fullySection II1.F2. T3. F4. F5. T6. F7. F8. TSection III1. c2. a3. c4. b5. dKeys to the texts of book3Unit NinePart OneExercise 2 :1. c2. c E3. .c4. w5. w 6 c 7. c 8. c 9.c 10. w 11. w 12. w 13. c 14. w 15. w 16. c 17. w 18. wExercise 31.prefer; old- fashioned2. as old as3. account for4.own; play; earn a living5. very proud of6. had the chance7. hills; small bridges; singing of birds8. full of energy9. holes; buttons; precise; notes 10.indirectly; individualistic 11. places great importance on 12. a universal languagePart TwoListening IExercise 11 restaurants, airports supermarkets; banks 2. attitudes; in the right mood ; a better feeling; the people around him; happy; work better 3. world war II 4. happy; calm ; a machine; kinds of music ; different times; faster ; slowerExercise 21. T2. F3.F4.T5.T6. F7. T8.FListening IIExercise 11.eases their minds; operations2. classical; instrumental Jazz;folk music 3. reduce tension; 50 male doctors; Mathematics ; 1. quickly 2. calmly 3. chosen for them 4. no music 5. the worst sleepyExercise 21. T2. F3.T4. F5. FPart ThreePractice oneExercise 11. b 19622.d 19633.a 19644. c 1970Exercise 21. their own style2. the nature3. sounds; experimented4. songs; records5. films ; awardsPractice TwoExercise 11. (1) (2) (3)2.(2) (1)Exercise 21. picks the strings2. as hard as3. makes the notes4. on the string5. manages the bowExercise 3.1. learn2. carry3. popular4. satisfying5. progress6. easiest7. less satisfying8. most difficultPractice ThreeExercise 11. T2. T3. T4. F5. F6. F7. F8. TExercise 2。
中职英语基础模块二 Unit5 Ancient Civilization 知识串讲
Unit 5 Ancient Civilization知识串讲重点单词序号英文词性中文序号英文词性中文1 actual adj. 真实的;实际的18 link n. 连接2 artist n. 艺术家19 lively adj. 活泼的3 attractive adj. 有魅力的20 maritime adj. 航海的;海事的4 BC abbr. 公元前21 memory n. 记忆5 boost v. 促进22 painting n. 画作6 century n. 世纪23 peak n. 顶峰7 character n. 文字24 podcast n. 播客8 civilization n. 文明25 portrait n. 画像9 Cubism n. 立体主义26 reporter n. 记者10 curious adj. 好奇的27 route n. 路线11 emissary n. 使者28 sculpture n. 雕塑12 enlighten v. 启迪29 Spanish adj. 西班牙的13 exchange n. 交流;交换30 technology n. 科技14 exhibition n. 展览31 treasure n. 财宝;珍品15 Greece n. 希腊32 vitality n. 活力16 impress v. 使留下印象33 Western adj. 西方国家的17 indeed adv. 确实重点短语序号英文短语中文释义序号英文短语中文释义1 as early as 早在……的时候 5 search for 寻找2 attract to 吸引 6 the Olympic Games 奥林匹克运动会3 China fever 中国热7 the Silk Road 丝绸之路4 date back to 追溯到重点语法宾语从句在复合句中,宾语位置上是“连接词+完整句子”,这个部分叫做宾语从句。
2020年全国卷Ⅱ英语高考试题(含答案)
2020年普通高等学校招生全国统一考试(全国卷II)英语注意事项:1. 答卷前,考生务必将自己的姓名、准考证号填写在答题卡和试卷指定位置上。
2. 回答选择题时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其他答案标号。
回答非选择题时,将答案写在答题卡上,写在本试卷上无效。
3. 考试结束后,将本试卷和答题卡一并交回。
第一部分听力(共两节,满分30分)做题时,先将答案标在试卷上。
录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题;每小题1.5分,满分7.5分)听下面5段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
例:How much is the shirt?A. £19.15.B. £9.18.C. £9.15.答案是C。
1. Where does the conversation probably take place?A. In a supermarket.B. In the post office.C. In the street.2. What did Carl do?A. He designed a medal.B. He fixed a TV set.C. He took a test.3. What does the man do?A. He’s a t ailor.B. He’s a waiter.C. He’s a shop assistant.4. When will the flight arrive?A. At 18:20.B. At 18:35.C. At 18:50.5. How can the man improve his article?A. By deleting unnecessary words.B. By adding a couple of points.C. By correcting grammar mistakes.第二节(共15小题;每小题1.5分,满分22.5分)听下面5段对话或独白。
大学英语3LectureNotes_U2(课文翻译)
⼤学英语3LectureNotes_U2(课⽂翻译)Electronic Teaching PortfolioBook ThreeUnit Two: LovePart I Get StartedSection A Discussion▇Sit in groups of threes or fours and discuss the following questions.1) Do you think love and marriage are important matters in our life? Why or why not?2) Dating and courtship is a common scene at college now. What do you think of it?3) What do you think are the most important factors that contribute to a stable love relationship? Give your reasons.▇ Answers for reference:1)Yes. It is human nature to feel attraction and affection between different sexes. A life without love is oftenregarded as imperfect. Those who are in love would long to stay together, and families resulting from love usually lay the foundation for a stable society.2)It’s OK to start dating at college, because college students are already grown-ups in the legal sense. Noone has the right to interfere in such private matters. However, students’ top priority at college is to study and acquire knowledge and skills for their future careers. Dating and courtship will interfere with their studies. Therefore, some students tend to hold themselves back even if there are opportunities to start a romantic relationship.3)Many factors may contribute to a stable love relationship. Wealth, social status, appearances, familybackground, etc. may be considered as the external factors, which may help promote a love relationship.Wisdom, knowledge, character, personalities, etc. are the internal factors. Love based on external factors alone may not last long. Love based on the internal factors will survive whatever challenges or crises it may encounter. When two persons are in love, they should respect each other and be honest and faithful to each other. In essence, trust and understanding are the key factors that contribute to a successful love relationship.Section B Quotes▇Study the following quotes about love. Which quote(s) do you like best? Why?⊙The course of true love never did run smooth.—— William Shakespeare Interpretation:Shakespeare believes that a true relationship is not easy to establish. People have different personalities, concepts of value, preferences of life style, etc. When two persons of the opposite sex develop a love relationship, they have to try their best to understand each other and reconcile with each other.William ShakespeareAbout William Shakespeare:William Shakespeare (1564-616): an English writer of plays and poems, who is generally regarded as the greatest of all English writers. His many famous plays include the tragedies Romeo and Juliet (《罗密欧与朱丽叶》), Hamlet (《哈姆雷特》), Julius Caesar (《裘⼒斯·凯撒》), Macbeth (《麦克⽩》), Othello (《奥瑟罗》), and King Lear (《李尔王》); the comedies A Midsummer Night’s Dream (《仲夏夜之梦》), Twelfth Night (《第⼗⼆夜》), and As You Like It(皆⼤欢喜》).⊙To fear love is to fear life, and those who fear life are already three parts dead.—— Bertrand Russell Interpretation:Here Russell emphasizes the importance of an active attitude towards love. We should not be afraid to fall in love just because it is not easy to find true love or just because of any possible setbacks. A life without love is as dull as a dying man because he lacks the energy and passion to enjoy life.Bertrand RussellAbout Bertrand Russell:Bertrand Russell (1872-970): a British philosopher and mathematician who developed new ideas connecting mathematics and logic. He is also known for being a pacifist (和平主义者). He received the Nobel Prize for Literature in 1950.⊙Where does the family start? It starts with a young man falling in love with a girl — no superior alternative has yet been found.—— Sir Winston Churchill Interpretation:The quotation emphasizes that true love is the only basis upon which a happy family is built. Only when the man and the woman love each other dearly and devotedly can they endure trials and tribulations in their common effort to build up a happy family.Sir Winston ChurchillAbout Sir Winston Churchill:Sir Winston Churchill (1874-965): a British statesman, soldier, and author who was Prime Minister during most of World War II and again from 1951 to 1955. He is remembered and admired by most British people as a great leader who made possible Britain’s victory in the war. He is also famous for the many speeches he made during the war. In 1953 Churchill was awarded the Nobel Prize in Literature for his writing and oratory (演讲术).⊙It is not how much we do, but how much love we put in the doing. It is not how much we give, but how much love we put in the giving.—— Mother Teresa Interpretation:The quotation tells us the significant role that love plays in everything we do in life. Whatever we do, we should put adequate love into it so that others can feel our love and be affected by our love. What we can offer to others may be insignificant, but as long as there is love in it, the benefit will be significant. Here, love isunderstood in a broad sense.Mother TeresaAbout Mother Teresa:Mother Teresa (1910-997): an Albanian (阿尔巴尼亚) Roman Catholic nun (修⼥) who lived in India, where she worked to help the poor and the sick in the city of Calcutta (加尔各答). She won the Nobel Prize for Peace in 1979, and people think of her as a typical example of someone who is kind, unselfish, and morally good. Section C Watching and Discussion▇He's Just Not That Into You is a 2009 romantic comedy film about how nine people in Baltimore deal with their romantic problems. Watch the following video clip extracted from this film and then complete the tasks that follow:1.Pay attention to what the woman says in the video clip and fill in the missing words.I. See, you can’t keep being nice to me and I can’t keep pretending like this is something that it’s not.We’ve been t ogether over seven years. You know me. You know who I am. You either wanna marry me or you don’t.II. …for every woman that has been told by some man that he doesn’t believe in marriage and then six months later, he’s married to some twenty-four-year-old that he met at the gym.III. It’s coming from the place that I have been hiding from you for about five years. About five years because I haven’t wanted to seem demanding, and I haven’t wanted to seem clingy or psycho orwhatever. So I have never asked you.2.What can you infer from the conversation between the man and the woman in the video clip?▇Answers for reference:(Open.)Script:BETH:Now. I want you to stop doing anything nice.NEIL: This feels like a trick.BETH: No. No. I just, I just need you to stop being nice to me —unless you’re gonna marry me after.(Neil laughs.)BETH: Is that funny? Do you think that’s funny?NEIL: No. I guess it is not funny.BETH:See, you can’t keep being nice to me and I can’t keep pretending like this is something that it’s not.We’ve been together for over seven years. You know me. You know who I am. You either wanna marry me or you don’t. NEIL: Or there is the possibility that I mean it when I say I don’t believe in marriage.BETH: Bullshit! Bullshit! Come on! Bullshit for every woman that has been told by some man that he doesn’t believe in marriage and then six months later, he’s married to some twenty-four-year-old that he met at the gym. It’s just — it’s Bullshit. (Beth tries to hold back her tears. Neil looks stunned and goes to her.)NEIL: Where is this coming from?BETH: It’s coming from the place that I have been hiding from you for about five years. About five years because I haven’t wanted to seem demanding, and I haven’t wanted to seem clingy or psycho orwhatever. So I have never asked you. But I — but I — I have to. I mean, are you — are you ever going to marry me?Part II Listen and RespondSection A Word Bank(⽆)Section B Task One: Focusing on the Main IdeasChoose the best answer to each of the following questions according to the information contained in the listening passage.1) Where did the woman see the three old men?A) In front of her store.B) In her front yard.C) In her dream.D) In her doorway.2) Who were the three old men respectively?A) Success, Hope and Wealth.B) Faith, Hope, and Love.C) Wealth, Faith and Success.D) Love, Success and Wealth.3) Whom did the family invite in?A) Wealth.B) Love.C) Success.D) All of the above.4) How many of the old men would like to go into the house?A) One.B) Two.C) Three.D) Four.5) What is the main idea of the passage?A) Where there is love, there is wealth and success.B) One cannot live without wealth, love and success.C) Love is as important as wealth and success.D) Wealth and success are what people pursue most eagerly.▇ Answers for Reference:1) B 2) D 3) B 4) C 5) ASection C Task Two: Zooming in on the Details▇Listen to the recording again and fill in each of the blanks according to what you have heard.1) The woman thought that the three old men must be ____________, so she invited them to come in and have something __________.2) The old men said that they did not go into a house ________________.3) The husband wished to invite ________________, but the woman did not agree and wished to have_____________ , while their daughter suggested: “____________________________________?”4) The woman came out and asked: “Which one of you is________? Please come in and be our________.”5) The other two old men also got up and followed, which_________ the woman.6) One old man t old the woman: “If you had invited _________ or _________, the other two of us would__________.”▆ Answers:1) The woman thought that the three old men must be hungry, so she invited them to come in and havesomething to eat.2) The old men said that they did not go into a house together.3) The husband wished to invite Wealth, but the woman did not agree and wished to have Success, while theirdaughter suggested: “Wouldn’t it be better to invite Love?”4) The woman came out and asked: “Which one of yo u is Love? Please come in and be our guest.”5) The other two old men also got up and followed, which surprised the woman.6) One old man told the woman: “If you had invited Wealth or Success, the other two of us would havestayed out.”Script:An InvitationA woman saw three old men sitting in her front yard. She said, “I don’t think I know you, but you must be hungry. Please come in and have something to eat.”“We do not go into a house together,” they replied.“Why is that?” she wanted to know.On e of the old men explained: “His name is Wealth, this is Success, and I am Love.” Then he added, “Now go in and discuss with your husband which one of us you want in your home.”Then the woman went in and told her husband what was said. Her husband said, “Let’s invite Wealth. Let him come and fill our home with wealth.” His wife disagreed, “My dear, why don’t we invite Success?” Then the daughter made a suggestion:“Would n’t it be better to invite Love? Our home will then be filled with love.” “Let’s take our daughter’s advice,” said the father.So the woman went out and asked, “Which one of you is Love? Please come in and be our guest.” Love got up and started walking toward the house. The other two also got up and followed him. Surprised, the lady asked W ealth and Success: “I only invited Love. Why are you coming in?”The old men replied together: “If you had invited Wealth or Success, the other two of us would have stayed out, but since you invited Love, wherever HE goes, we go with him. Wherever there is Love, there is also Wealth and Success.”Part III Read and ExploreText ASection A Discovering the Main Ideas1. Answer the following questions with the information contained in Text A.1) Is “love” easy to define? Why or why not?2) How does the au thor describe “puppy loves”?3) What does it take for love to develop into maturity?4) What helped preserve the holiness of love in the author’s parents’ generation?5) What negative roles do the media play in forming the younger generation’s view of lov e?6) What do young people today tend to value in relationships? What does the author think they should value? ▆ Answers for Reference:1) No. It is because love is a feeling that can only be felt but cannot be clearly described.2) “Puppy loves” are brief, silly, adventurous but harmless.3) Love takes time to blossom and it takes a lot of understanding, caring, sharing and affection to developinto maturity.4) It was the distance between men and women that helped preserve the holiness of love in the author’sparents’ generation.5) The media have exposed the younger generation to things that have fast paced their sensibilities so muchthat taking things slow requires effort.6) They tend to value physical beauty, closeness, passion and acquiring. The author thinks that they shouldvalue inner charm, intimacy, emotion and sharing.2.Text A can be divided into four parts with the paragraph number(s) of each part provided as follows. Write down the main idea of each part.Paragraph(s) Main IdeaPart One 1-2 ________________________________________________________________________________________________________________________________________________ Part Two 3-7________________________________________________________________________________________________________________________________________________ Part Three 8-12________________________________________________________________________________________________________________________________________________ Part Four 13-14________________________________________________________________________________________________________________________________________________▆ Answers for Reference:Paragraph(s) Main IdeaPart One 1-2 Love is hard to define because it can only be felt but not described.Part Two 3-7 The author discusses love of different depths from her own experiences.Part Three 8-12 The two generations handle love and relationships differently. The younger generation tends to be more hasty and selfish in building relationships.Part Four 13-14 The author advises young people to learn the essence of love and find ways to develop relationships into lifelong bonds.Section B In-Depth StudyLove is an overwhelming joy that is beyond description. It is human nature to yearn for and indulge in love, but true love takes a lot of understanding, much sharing and caring, and plenty of affection. What is true love? How deep is your love? The author shares her views with the younger generation on these questions.How Deep Is Your Love?Mansi Bhatia1Love to some is like a cloudTo some as strong as steelFor some a way of livingFor some a way to feelAnd some say love is holding onAnd some say let it goAnd some say love is everythingSome say they don’t know2 At some stage or the other in our lives we experience the gnawing pangs of an emotion which defies definition. It’s a feeling that can only be felt and not described. An overwhelming joy that comes together with its share of sadness. Love.3 Given the busy nature of our lives, it’s to be appreciated that we even find the time to ind ulge in matters of the heart.But at the same time I wonder if we even understand its true depth. I remember having countless crushes while in school. My math teacher, our neighbour’s son, my best friend’s brother and lots of others whom I fancied for the colour of their eyes, the shape of their moustaches or just the way they walked. Harmless puppy loves that are as brief as soap bubbles. I can laugh about all those silly and adventurous thoughts and acts now but at that time nothing could be more serious an affair for me. Then came the stage of real relationships.4 Being in an all girls’ school I hardly had the opportunity to interact with members of the opposite gender. Socials between our school and the boys’ college, therefore, would be awaited anxiously. Those three hours of unhesitant attention by a group of well-groomed young gentlemen provided us with enough content to talk and feel exhilarated about for the next four weeks.5 And even then there was no real need of having a boyfriend.6 I somehow grew up believing that love would happen when it had to. And sure enough it did. It came at an age when I hada career, a long-term plan and a more or less settled life (and now I am not yet 25!). I was mature enough to enter a relationship which demands a lot of give and not so much of take.7 Love was a magnificent building I built on the foundation of friendship. It took time to blossom. It took a lot of understanding, loads of sharing and caring, and plenty of affection to become what it is today. And it meant a meeting of minds. You might say that I belong to the traditional school of romance. But in my opinion, love needs to be nurtured. And it has to be distinguished from the intense but short-lived love or the pleasures of the flesh.8 Our p arents’ generation was fed lavishly with ideals. It was an era of constraints, restraints, respect, admiration, and plenty of romance. The long skirts, the quiet and unpretentious looks, the curled long hair, the calmness, the shy glance—these areall so frequently remindful of a bygone era. An age when the distance between the sexes somehow managed to help preserve the holiness of love and relationships.9 The younger generation, with its openness and fading lines of proximity, has jumped on the bandwagon of love with so much haste that it is difficult for them to distinguish between physical attraction and mental compatibilities. What we have been exposed to via the media have fast paced our sensibilities so much that taking things slow requires effort on our parts.10 I am amazed when I hear stories of school kids bragging about the number of physical relationships they have had. I am horrified to learn that girls barely eighteen have already been in and out of seven to eight “hook ups”.11 I am sorry to learn about the kind of emotional baggage these kids are carrying in what are purely unemotional relationships. Some might blame the current state of affairs on peer pressure. But has anyone ever stopped to figure out where this peer pressure originates? Do any of us try and understand who is responsible for this shift? Does anyone bother to study the state of mind of the teenagers?12 The mindset of this generation is all too evident in the way it handles its personal life.There are more relationships being distorted under the pressures of lust than ever before. There is more focus on physical beauty than on inner charm. There is more of closeness and less of intimacy. There is more of passion and less of emotion. There is more of acquiring and less of sharing. There is more of opportunism and less of selflessness.In short, there is more of ME and less of US.13 We have hardened ourselves so much in this competitive age that we have forgotten the essence of relationships. There’s much more to being someone’s lover than gifting them red roses and fifty-cent cards. What about gifting our object of affection, our time, our company, our support, our friendship? What about setting priorities in our lives and focusing on each with sincerity? What about trying to be self-sufficient emotionally before letting ourselves loose? What about giving ourselves, and others, time and space to forge relationships? What about working towards meaningful and lasting friendships? What about honouring our commitments? What about channeling our energies and emotions towards building lifelong bonds ratherthan wasting them on seasonal relationships?14 We have but one life and we must experience everything that can make us stronger. True love happens once in a lifetime. And we should not have become so tired by our frivolous acts that when it comes we aren’t able to receive it with open arms.▇课⽂参考译⽂你的爱有多深曼茜·巴蒂亚1 有⼈认为爱如浮云有⼈认为爱坚强如铁有⼈认为爱是⼀种⽣活⽅式有⼈认为爱是⼀种感觉有⼈说爱要执着有⼈说爱不要约束有⼈说爱是⽣命的全部有⼈说不知道爱为何物2 在我们⽣命中的某个阶段,我们会经历某种难以名状的情感所带来的阵阵折磨。
英语分类识记 影视拓展系列---第九波- 高三英语一轮复习素材
文科类学习1人文学科终极分类词[pl]文科art [a:t]历史history ["hrstri]文化culture ['kAltJa(t)]外语foreign language ['foron][lengwrd3]法律law [lb:]翻译translation [trens'ler n]文学literature ['rtrat[o(r)]出版学publication [,pablt'ker[n]社会学sociology [saosi'olad3i]动画animation [enr'mer[n]教育学education [edu'kerjn]心理学psychology [sar'kolad3i]图书馆学library science ['larbrori] ['sarons]人文学科humanities [hju:'menatiz]书法calligraphy [ka'ligrafi]经典影视句It's fairly common for some things to get lost in translation.翻译时往往都会丢失含义。
——《迷失》The notion of secrecy is central to Western literature.西方文学的核心在于保密的观念。
——《朗读者》Well, they could monitor scientific publications and see if anyone posts such a cogent restatement in the next couple of months.他们可以监视科学刊物,看看有没有人在接下来几个月里发表一篇有力的重述。
- -—《生活大爆炸》From what I hear, they'vegot someone big to replace Martha for the psychology of business lecture.据我所知,他们找了个大人物来接替马莎进行这次商业心理讲座。
小学上册第二次英语第1单元暑期作业
小学上册英语第1单元暑期作业英语试题一、综合题(本题有100小题,每小题1分,共100分.每小题不选、错误,均不给分)1.What do we call a person who studies ancient civilizations?A. HistorianB. ArchaeologistC. GeologistD. AnthropologistB2.The _____ (植物分类) helps identify different species.3.Ancient __________ (印度) is known for its contributions to mathematics and science.4.What is the name of the fairy tale character with long hair?A. Snow WhiteB. RapunzelC. CinderellaD. BelleB5.What do we call the process of taking care of someone?A. NurturingB. NeglectingC. AbandoningD. IgnoringA Nurturing6.I can ______ (明确) my goals and aspirations.7.Flowers bloom in _____ (春天) and bring color to the garden.8.The _____ (lake/ocean) is blue.9.The sun sets in the ________.10.The tree is ___ (bearing) fruit.11.What is the name of the popular animated series about a family living in a town?A. The SimpsonsB. Family GuyC. American DadD. Bob's BurgersA12.Which holiday celebrates the new year?A. ChristmasB. ThanksgivingC. New Year's DayD. HalloweenC13.What is 9 4?A. 3B. 4C. 5D. 6B14. A __________ is a mixture that can be separated by centrifugation.15. A _______ is a substance formed from two or more elements.16. A ________ (草原) is home to many animals.17.Many plants have medicinal properties that can be used for ______ purposes. (许多植物具有药用特性,可以用于治疗。
考古学概论(第2版)
考古学概论(第2版)英文回答:Archaeology: An Introduction, Second Edition is a comprehensive and up-to-date textbook on the principles and methods of archaeological research. Written in a clear and concise style, it provides a thorough overview of the field, from its history and theoretical foundations to itspractical applications.The book is divided into three main parts. Part One introduces the basic concepts of archaeology, including the nature of archaeological evidence, the methods ofexcavation and analysis, and the interpretation of archaeological data. Part Two focuses on the major periodsof human history, from the earliest hominids to the rise of civilization. Part Three examines the application of archaeological methods to contemporary issues, such as heritage management and environmental conservation.Archaeology: An Introduction, Second Edition isessential reading for anyone interested in learning more about the field of archaeology. It is also a valuable resource for students, researchers, and professionals working in the field.中文回答:《考古学概论(第 2 版)》是一本全面且最新的考古学研究原理和方法教科书。
中国古代数学英语
中国古代数学英语Ancient Chinese MathematicsMathematics has been an integral part of Chinese culture for thousands of years, with a rich history that has significantly contributed to the development of mathematical concepts and practices worldwide. This essay delves into the evolution, key figures, and major achievements of ancient Chinese mathematics.Early DevelopmentsThe earliest known mathematical text from China is the "I Ching," or "Book of Changes," dating back to the Western Zhou dynasty (1000–750 BC). It contains mathematical ideas that were foundational to later Chinese mathematical thought. The development of the abacus in the 14th century further revolutionized the way calculations were performed.Key Figures1. Zu Chongzhi (429–500 AD): Known for calculating the value of pi to an unprecedented level of accuracy, Zu Chongzhi was the first to calculate pi to seven decimal places, a record that stood for nearly a millennium.2. Liu Hui (c. 3rd century): A mathematician during the Three Kingdoms period, Liu Hui is credited with thedevelopment of the method of exhaustion for calculating the area of a circle, which is a precursor to integral calculus.3. Qin Jiushao (1202–1261): He introduced the concept of negative numbers and made significant contributions to algebra, including the use of numerical methods to solve higher-degree polynomial equations.Major Texts1. "The Nine Chapters on the Mathematical Art" (c. 1st century): This text is one of the most significant works in ancient Chinese mathematics, covering topics such as algebra, geometry, and number theory.2. "The Arithmetic in Nine Sections" (3rd century): This work by Liu Hui expanded on the Nine Chapters and introduced new methods for solving mathematical problems.Achievements1. Algebra: Ancient Chinese mathematicians developed a sophisticated system of algebra, including solving linear and quadratic equations, which was distinct from the algebraic methods of the West.2. Geometry: Chinese scholars made significant contributions to geometry, including the calculation of areas and volumes of various shapes and the use of trigonometric functions.3. Number Theory: The Chinese were early pioneers in number theory, with works on the properties of numbers, including prime numbers and the distribution of prime numbers.Influence and LegacyThe mathematical knowledge developed in ancient China had a profound impact on the mathematical traditions of East Asia and later influenced the development of mathematics in the West through the transmission of knowledge along the SilkRoad and other trade routes.In conclusion, ancient Chinese mathematics represents a rich and diverse field that has greatly influenced the course of mathematical history. The innovations and insights of Chinese mathematicians continue to be studied and admired for their ingenuity and precision.。
数学史AHistoryofMathema课件
历史的警示
1607年,利玛窦和徐光启合译《几何原 本》,西方数学第一次传入中国。徐光启 认为此书“由显入微,从疑得信,盖不用 为用,众用所基。”(《刻几何原本 序》),又希望“百年之后,必人人习之, 即又以为习之晚也”(《几何原本杂 议》)。
未曾想,300年后却有此打油诗:是幽默? 是无奈?还是中国人就不懂数学?
二、变量数学时期
变量数学时期从17世纪中叶到19世纪20年 代。这一时期的主要成果是解析几何、微 积分、高等代数等学科,它们构成了现代 大学数学课程(非数学专业)的主要内容。
十六、十七世纪,欧洲封建社会开始解体,代之 而起的是资本主义社会。由于资本主义工场手工 业的繁荣和向机器生产的过渡,以及航海、军事 等的发展,促使技术科学和数学急速向前发展。 原来的初等数学已经不能满足实践的需要,在数 学研究中自然而然地就引入了变量与函数的概念, 从此数学进入了变量数学时期。
数学来源于人类的生产实践活动,即来源 于原始人捕获猎物和分配猎物、丈量土地 和测量容积、计算时间和制造器皿等实践, 并随着人类社会生产力的发展而发展。一 般说来,可以从三个时期来大致了解数学 的发展。
一、初等数学时期
数学与人类文明相伴而生,经过漫长时间 的萌芽阶段,在生产的基础上积累了丰富 的有关数和形的感性知识。数学知识在古 巴比伦、埃及、印度和中国产生,并形成 系统的数学知识体系。
罗马人征服了希腊也摧毁了希腊的文化。 公元前47年,罗马人焚毁了亚历山大里亚 图书馆,两个半世纪以来收集的藏书和50 万份手稿付之一炬。基督教徒又焚毁了希 腊神庙,大约30万种手稿被焚。公元640 年,回教徒征服埃及,残留的书籍被阿拉 伯征服者焚毁。由于外族入侵和古希腊后 期数学本身缺少活力,希腊数学衰落了。
小学上册第9次英语第2单元综合卷(有答案)
小学上册英语第2单元综合卷(有答案)英语试题一、综合题(本题有100小题,每小题1分,共100分.每小题不选、错误,均不给分)1.I love to _______ (画画) in my free time.2.What do you call a person who works in a hospital?A. PatientB. NurseC. DoctorD. Both B and C答案: D3.The ancient Greeks made advancements in ________ and mathematics.4.We eat _____ (dinner/breakfast) in the evening.5. A ______ (猫) can have different colored fur.6.The otter's thick fur keeps it warm in cold ________________ (水).7.My brother loves to __________ (画画) in his free time.8.The number of protons in an atom defines the ______.9.Fossils are often found in sedimentary ______ that formed over millions of years.10.The chemical formula for chromium oxide is _______.11.What is the name of the famous wizard in J.K. Rowling's series?A. GandalfB. DumbledoreC. MerlinD. Harry Potter答案:D12.The teacher is _____ (kind/mean).13.Honey is made by ______.14. Fire of London led to the reconstruction of ________ (城市). The Grea15.She is _____ a picture of her cat. (drawing)16. (Holocaust) was a tragic event in World War II. The ____17.What is the function of a thermometer?A. To measure speedB. To measure temperatureC. To measure weightD. To measure distance答案: B18.The _____ (果实成熟) is a sign that it’s time to ha rvest.19.The _______ of the Earth protects us from harmful solar radiation.20.I love to ___ (explore) new places.21.My friend loves to watch ______ (鸟) fly in the sky.22.I enjoy _______ (cooking) new recipes.23.The __________ (历史的启示) inspires action.24.The __________ can shape the landscape over time.25.根据图片把下列单词补充完整。
小学上册第1次英语第六单元测验卷(有答案)
小学上册英语第六单元测验卷(有答案)英语试题一、综合题(本题有100小题,每小题1分,共100分.每小题不选、错误,均不给分)1.What is the main ingredient in salad?A. LettuceB. BreadC. PastaD. Rice答案:A2.We like to _______ at the mall.3.The tree is _______ (swaying) in the wind.4. (Mayan) civilization was advanced in mathematics and astronomy. The ____5.What is the capital of Myanmar?A. YangonB. MandalayC. NaypyidawD. Bagan答案:C6.The main component of the ozone layer is ______.7.The __________ (历史的教训) can help prevent future mistakes.8.What is the capital of Tunisia?A. TunisB. SfaxC. SousseD. Kairouan9.What do you call the natural satellite of Earth?A. SunB. StarC. MoonD. Planet答案:C10.We have a ______ (丰富的) schedule for learning activities.11.What is 2 + 2?2 + 2 等于多少?A. 3B. 4C. 5D. 6答案:B12.The iguana basks in the _________. (阳光)13.My ________ (玩具名称) brings joy to everyone.14.The starfish can regenerate lost ______ (部分).15.I can ________ my bike to school.16.What do we call a large community of plants and animals?A. EcosystemB. BiomeC. HabitatD. All of the above17.What is the name of the famous mountain in the Alps?A. Mont BlancB. MatterhornC. EigerD. Jungfrau答案:A Mont Blanc18.It is ________ outside.19.The ancient Romans used ________ to build their cities.20.What is the color of an orange?A. GreenB. YellowC. OrangeD. Red答案:C21.Which gas do plants use for photosynthesis?A. OxygenB. Carbon DioxideC. NitrogenD. Hydrogen答案:B22.The teacher gave us a _____ (project/test).23.What is the opposite of up?A. DownB. LeftC. RightD. East答案:A24.The spider spins a _________ (网).25.What shape is a basketball?A. SquareB. TriangleC. OvalD. Circle答案:D26.I watch the ______ (天气预报) every morning.27.I enjoy participating in debates to improve my __________.28. A _______ is a substance that can increase the reaction rate.29.What is the name of the famous composer known for "The Nutcracker"?A. Johann StraussB. Igor StravinskyC. Pyotr Ilyich TchaikovskyD. Ludwig van Beethoven答案:C30.I like _____ (to run/to walk).31.Which animal is known for its intelligence and ability to solve puzzles?A. CatB. DogC. DolphinD. Elephant答案:C32.The Gold Rush took place in ________.33.How many legs does a spider have?A. FourB. SixC. EightD. Ten34.I have a toy _______ that can change shapes and forms.35.I like to _____ in the swimming pool. (swim)36.The Earth's crust is rich in various ______ resources.37.What is the opposite of "happy"?A. ExcitedB. SadC. AngryD. Tired38.I believe that having a creative outlet is essential. It allows us to express ourselves freely. I enjoy __________ as my way of being creative.39.The doctor is ________ patients.40.The Earth's atmosphere is vital for protecting ______ life.41.What do we call the study of numbers and their relationships?A. AlgebraB. GeometryC. MathematicsD. Statistics答案:C42.What do you call a story passed down through generations?A. MythB. HistoryC. NovelD. Poem43.The macaw has colorful _________. (羽毛)44.What do we call a large body of water?A. RiverB. LakeC. OceanD. Stream45.What do you call a young female horse?A. ColtB. FillyC. MareD. Foal46.The _____ (花瓣) are often colorful and bright.47.The __________ (古巴比伦) was known for its hanging gardens.48.The ______ (海洋植物) contribute to ocean health.49.The parrot has bright ________________ (羽毛).50.What do we call the season after winter?A. SpringB. SummerC. FallD. Autumn51.The _______ of a solution can change with temperature.52.I found a ________ in my pocket.53.Plants can _____ (繁殖) in many ways, including seeds and cuttings.54.The _____ (花卉展) showcases different types of flowers.55.The chemical formula for dodecanoic acid is ______.56.I see a ______ in the sky. (cloud)57.My dad _____ a new car last week. (bought)58.The ______ helps us see light.59.My favorite food is ______ (pasta).60.I can create a world with my ________ (玩具类型).61. A ____ is often used in research and is very curious.62.The capybara is the largest ________________ (啮齿动物).63.The _______ of light can be tested using a laser.64.My __________ (玩具名) has many __________ (名词) inside.65.What do you call the time when day changes to night?A. MorningB. AfternoonC. EveningD. Midnight66.What do we call a star that is nearing the end of its life cycle?A. Main Sequence StarB. Red GiantC. White DwarfD. Neutron Star67.I see a ___ (star/moon) shining.68.What is the capital of Hungary?A. BudapestB. DebrecenC. SzegedD. Pécs答案:A69. A substance that donates protons in a reaction is called an ______.70.The _____ (火烈鸟) feeds on small fish and crustaceans.71.What is the opposite of big?A. SmallB. LargeC. HugeD. Giant答案:A72. A _______ can be used to measure the pressure of liquids in different environments.73.Which month comes after January?A. FebruaryB. MarchC. AprilD. December答案:A74.My sister is a ______. She loves to write stories.75.What do we call the place where we learn?A. SchoolB. ParkC. StoreD. Home76.What do we call the large container used for storing liquids?A. TankB. BottleC. JugD. Barrel答案:A77.n be found in the _________. (森林) Snakes c78.Which month has Halloween?A. SeptemberB. OctoberC. NovemberD. December79.What is the main color of grass?A. RedB. BlueC. GreenD. Yellow80.What instrument do you blow into to make music?A. GuitarB. PianoC. FluteD. Drum答案:C81.What is the capital of Sweden?A. StockholmB. GothenburgC. UppsalaD. Malmo82.The cake is ________ with chocolate.83.The _______ (蝙蝠) hangs upside down.84. A pond is home to many ______.85.What is the main purpose of a calendar?A. To tell timeB. To show datesC. To measure distanceD. To calculate86.The ________ (城市景观) changes over time.87.The first electronic computer was created in _______. (1940年)88.My ________ (玩具名称) is a fun way to practice sharing.89.During the summer, I often visit the __________. (海滩)90.I want to be a ________ (老师) when I grow up.91.In chemistry, we study _______ which are made of atoms. (物质)92.What do you call a small piece of land surrounded by water?A. IslandB. PeninsulaC. CoastD. Shore答案:A93.The city of Warsaw is the capital of _______.94.The Earth's crust is composed of different ______ types.95.Which animal is known for being very slow?A. RabbitB. SnailC. CheetahD. Horse答案:B96.The __________ (挥发性) of a substance refers to how easily it evaporates.97.My grandma enjoys making __________ (传统食品).98.The _____ (lake/ocean) is blue.99.The _______ (蜗牛) carries its shell wherever it goes.100.I love to ________ my family.。
小学上册T卷英语下册试卷(有答案)
小学上册英语下册试卷(有答案)英语试题一、综合题(本题有100小题,每小题1分,共100分.每小题不选、错误,均不给分)1.Plant cells have a ______ (细胞壁) that protects them.2.What do you call a baby kangaroo?A. JoeyB. CalfC. KitD. Pup答案: A3.What is the name of the famous ancient structure in Greece?A. ColosseumB. ParthenonC. Great WallD. Stonehenge答案: B4.I find ________ (天文学) very fascinating.5.What is the capital of Puerto Rico?A. San JuanB. PonceC. BayamónD. Mayagüez答案:a6.I like to ________ my family.7. A turtle moves very ______ (慢).8.How many continents are there?A. FiveB. SixC. SevenD. Eight答案:C9.The dog is ___ (digging/sitting).10. A __________ (化学分析方法) is essential for studying materials and substances.11.The flowers are ________ and colorful.12.What do we call the process of taking care of plants and animals?A. GardeningB. FarmingC. AgricultureD. All of the above答案: D13.The chemical formula for ammonium nitrate is _____.14.The primary component of natural gas is ______.15.My dad _____ a new car last week. (bought)16.The ancient Greeks made advancements in ________ and mathematics.17. A chemical reaction can change the ______ of a material.18.What do you call a large body of saltwater?A. LakeB. SeaC. OceanD. River答案:c19.I saw a ________ hiding in the flowers.20.The ________ is known for its speed and agility.21.The __________ (历史的交织) creates unity.22.The Milky Way is a spiral-shaped ______.23.My favorite artist is _______ (名字). 她的画很 _______ (形容词).24.I enjoy exploring new ______ (地方), especially historical sites.25. A garden can have many different types of _______.26. A _____ (老鹰) can see very well from high up.27.The _____ is our home planet.28. (Mayan) civilization was known for its advanced calendar. The ____29. A frog starts its life as a ______.30. A star will die after exhausting its ______.31.My dad is a __________. (工程师)32. A __________ is a substance that has a fixed composition.33.The _____ (公鸡) crows at dawn to wake everyone up. 公鸡在黎明时鸣叫,叫醒每个人。
徐州2024年06版小学3年级上册E卷英语第1单元真题(含答案)
徐州2024年06版小学3年级上册英语第1单元真题(含答案)考试时间:80分钟(总分:120)B卷考试人:_________题号一二三四五总分得分一、综合题(共计100题)1、填空题:A sloth spends most of its time ________________ (睡觉).2、填空题:The ancient Greeks held competitions in the ________.3、听力题:I see a __ in the garden. (squirrel)4、听力题:The grass is ___. (wet)5、听力题:A flame is a visible part of a ______ reaction.6、What is the main ingredient in pancakes?A. FlourB. SugarC. ButterD. Eggs7、填空题:My brother loves to play . (我哥哥喜欢玩。
)8、填空题:The _______ (小金哈巴) swims gracefully in the lake.9、填空题:The __________ (玛雅文明) was known for its advanced mathematics.10、What is the capital of Mexico?A. GuadalajaraB. CancúnC. Mexico CityD. Tijuana11、填空题:The __________ (历史的融合) leads to new ideas.12、填空题:We will go ________ (滑雪) this winter.13、e often found in ________________ (草丛). 填空题:Snakes c14、听力题:I found a _____ (button/penny) on the floor.15、agette movement fought for ________ (女性的投票权). 填空题:The Suff16、选择题:What do you use to cut paper?A. GlueB. ScissorsC. TapeD. Ruler17、听力题:The _____ (robot) is interesting.18、听力题:Chemical reactions can be classified based on their ______.19、Which instrument is used to measure temperature?A. BarometerB. ThermometerC. SpeedometerD. Altimeter答案: B20、What do you call the light that comes from the sun?A. MoonlightB. StarlightC. SunlightD. Firelight21、选择题:What do you call the study of the Earth?A. BiologyB. GeographyC. PhysicsD. Chemistry22、填空题:My sister loves to ________ (看书).23、填空题:The ______ (小鹿) runs quickly from danger.24、选择题:What do you call a baby dog?A. PuppyB. KittenC. CalfD. Cub25、听力题:The gas that is produced when vinegar is heated is ______.26、What do we call a baby dog?A. KittenB. PuppyC. CalfD. Cub27、填空题:The __________ (印第安人) have a rich cultural history in North America.28、填空题:The fall of the Roman Empire was in the __________ (5世纪).29、What do we call a person who studies the ocean?A. OceanographerB. Marine biologistC. GeologistD. Meteorologist答案: A. Oceanographer30、What is the name of the famous clock tower in London?A. Big BenB. Tower BridgeC. London EyeD. Buckingham Palace31、填空题:My ________ (玩具名) can ________ (动词) different sounds. It makes me feel ________ (形容词) when I play with it. I also have a ________ (玩具名) that can ________ (动词) really fast!32、选择题:What is 8 - 4?A. 2B. 3C. 4D. 533、What is the capital of the Bahamas?A. NassauB. FreeportC. Marsh HarbourD. Andros Town答案:A. Nassau34、e of Hastings took place in ______ (1066年). 填空题:The Batt35、What is the primary color of a fire truck?A. BlueB. YellowC. RedD. Green答案:C. Red36、填空题:A _____ is a large area of water that is deep.37、填空题:I love to watch _____ (小动物) at the petting zoo.38、听力题:I brush my teeth _____ night. (every)39、填空题:My dad loves __________ (历史).A ______ (蜜蜂) works hard to make honey.41、听力题:The horse is ___ (trotting) in the field.42、What is the name of the imaginary line around the Earth?A. EquatorB. GridC. AxisD. Meridian答案:A43、How many sides does a hexagon have?A. 4B. 5C. 6D. 7答案:C. 644、填空题:The cat's whiskers are very _________. (敏感)45、听力题:__________ are formed when metals react with acids.46、听力题:A ____ is a loyal companion and loves to be around people.47、What is the name of the famous Roman amphitheater?A. ColosseumB. ParthenonC. AcropolisD. Forum答案:A48、听力题:The __________ is where rocks are recycled back into the Earth.49、填空题:A kitten loves to chase ________________ (玩具).50、听力题:A gas produced in a reaction can often be seen as _____ bubbles.Every Saturday, I go to my friend's house and we play with our ________ (玩具名) together. It’s always a great time!52、听力题:The __________ is a famous bridge in San Francisco.53、填空题:The roots help the plant to __________ (吸收) water.54、What is the term for a person who studies the Earth?A. GeographerB. GeologistC. MeteorologistD. Biologist答案:A55、What is the main ingredient in chocolate?A. CocoaB. VanillaC. SugarD. Flour56、ts can thrive in ______ (极端环境). 填空题:Some pla57、填空题:I found a ______ (漂亮的石头) while walking in the park. It has interesting ______ (图案).58、听力题:The ____ swims in rivers and loves to catch fish.59、填空题:The __________ (交通) in the city can be very busy.60、听力题:In a solution, the solvent is the substance that dissolves the _____.61、What is the capital of the Democratic Republic of the Congo?A. KinshasaB. LubumbashiC. KisanganiD. Mbuji-Mayi答案:A. KinshasaWe go ________ (hiking) in the mountains.63、What do we call a place where you can borrow books?A. StoreB. LibraryC. SchoolD. Museum答案:B64、填空题:The turtle can live for many _______ (年).65、听力题:She brought a ________ for lunch.66、听力题:The fruit is _______ (ripe) and delicious.67、听力题:The bear is ______ (strong) and big.68、填空题:The discovery of ________ has changed our understanding of physics.69、填空题:In ancient Egypt, hieroglyphics were used for __________. (记录)70、填空题:A ________ (蟋蟀) sings beautifully at night in the grass.71、What is the opposite of "happy"?A. AngryB. SadC. ExcitedD. Joyful答案:B72、填空题:My hamster loves to run on its _________ (轮子).73、听力题:A __________ is a large region known for its wildlife.74、What do you call a person who designs buildings?A. ArchitectB. EngineerC. ContractorD. Surveyor答案: A75、填空题:The ________ was a major event in American history that led to the Civil War.76、听力题:The baby is _____ to sleep. (going)77、What is the main language spoken in Spain?A. FrenchB. ItalianC. SpanishD. Portuguese答案:C78、填空题:The _____ (香草) is used in cooking.79、听力题:The stars are _____ (bright/dim) in the sky.80、填空题:The dolphin is very _______ (聪明) compared to other animals.81、填空题:My cousin, ______ (我的表弟), is very sporty.82、填空题:A well-planned garden can also enhance your home's ______ value.(精心规划的花园还可以提高你家的房产价值。
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Lecture 3 Ancient Mathematics (II): Mesopotamia
巴比伦人的记数法
Lecture 3 Ancient Mathematics (II): Mesopotamia
25 =2(10)+5
38= 40-2
Lecture 3 Ancient Mathematics (II): Mesopotamia
6000-5000 5000-4000 4000-2900 2900-2334 2334-2154 2154-2112 2112-2004 2025-1887 2025-1365 1994-1595
Lecture 3 Ancient Mathematics (II): Mesopotamia Sea-Land 王朝 中巴比伦时期 中亚述时期 新亚述时期 新巴比伦时期 波斯帝国时期 马其顿帝国 塞琉斯王国时期 1700-1570 1570-689 1365-883 883-609 625-539 547-331 334-305 305-63
1 1 1 60 x + x + x + x = 7 11 7
“我找到一石,但未称其重量。它的6倍,加上2 gín,再 加上[所得重量]三分之一的七分之一的24倍,共重1 mana, 问:石子原重几何?” 24 60 ( 6x + 2) + ( 6x + 2) = 21
229. If a builder has built a house for a man, and has not made his work sound, and the house heed the death of its owner, that builder shall be put to death. 230. If it is the owner's son that is killed, the builder's son shall be put to death. 231. If it is the slave of the owner that is killed, the builder shall give slave for slave to the owner of the house. 232. If he has caused the loss of goods, he shall render back whatever he has destroyed. Moreover, because he did not make sound the house he built, and it fell, at his own cost he shall rebuild the house that fell. 233. If a builder has built a house for a man, and has not keyed his work, and the wall has fallen, that builder shall make that wall firm at his own expense.
Lecture 3 Ancient Mathematics (II): Mesopotamia
15位的60进制数——13 22 50 54 59 09 29 58 26 43 17 31 51 06 40
Lecture 3 Ancient Mathematics (II): Mesopotamia
数 学 史
History of Mathematics
数学系 汪晓勤
History of Mathematics
Lecture 3 Ancient Mathematics (II): Mesopotamia October 22, 2010
Lecture 3 Ancient Mathematics (II): Mesopotamia
Lecture 3 Ancient Mathematics (II): Mesopotamia
UM 29-15-503 30倍乘法表
Lecture 3 Ancient Mathematics (II): Mesopotamia
UM 29-15-485 36倍乘法表
Lecture 3 Ancient Mathematics (II): Mesopotamia
9倍乘法表
Lecture 3 Ancient Mathematics (II): Mesopotamia
VAT 7858 10倍乘法表
Lecture 3 Ancient Mathematics (II): Mesopotamia
泥版A 450 (牛津Ashmolean博物馆所收藏 ) 12倍乘法表
CBS 8536
Lecture 3 Ancient Mathematics (II): Mesopotamia 巴比伦倒数表 2 3 4 5 6 8 9 10 12 15 30 20 15 12 10 7,30 6,40 6 5 4 16 18 20 24 25 27 30 32 36 40 3,45 3,20 3 2,30 2,24 2,13,20 2 1,52,30 1,40 1,30 45 48 50 54 1 1,4 1,12 1,15 1,20 1,21 1,20 1,15 1,12 1,6,40 1 56,15 50 48 45 44,26,40
Lecture 3 Ancient Mathematics (II): Mesopotamia
求 a. 设第一个近似值为a1 , a 1 a2 则第二个近似值为; = a1 + a1 2 a 1 a3 第三个近似值为; = a2 + a2 2
Lecture 3 Ancient Mathematics (II): Mesopotamia
Lecture 3 Ancient Mathematics (II): Mesopotamia
在50万块泥版中,约有 300 块上载有数学内容, 包括数学表和数学问题。
BM 85194
Lecture 3 Ancient Mathematics (II): Mesopotamia
3.1 数码与记数法
Lecture 3 Ancient Mathematics (II): Mesopotamia
1× 2 × 3 2 × 3× 4 3× 4 × 5 4× 5× 6 6× 7×8 7 ×8× 9 8 × 9 ×10 30 × 31× 32
Lecture 3 Ancient Mathematics (II): Mesopotamia
求。 2
设第一个近似值为, 1
1 2 则第二个近似值为;1 + = 1;30 2 1
1 2 第三个近似值为;1;30 + = 1; 25 2 1;30
1 2 第四个近似值为。1; 25 + = 1; 24,51,10 2 1; 25
Lecture 3 Ancient Mathematics (II): Mesopotamia
Lecture 3 Ancient Mathematics (II): Mesopotamia
空 中 花 园
Lecture 3 Ancient Mathematics (II): Mesopotamia
油画:巴比塔 (P. Bruegel the Elder, 1563)
Lecture 3 Ancient Mathematics (II): Mesopotamia
泥版上的数码 (约2800BC)
Lecture 3 Ancient Mathematics (II): Mesopotamia
Lecture 3 Ancient Mathematics (II): Mesopotamia
Nippur 泥版(约2400BC) 奇数行:125,250,500,1000,2000,4000,8000,16000 偶数行:103680,51840,25920,12960,6480,3240,1620,810
Lecture 3 Ancient Mathematics (II): Mesopotamia
1846年,英国驻伊朗外交官、 东方学家劳林森(H. C. Rawlinson, 1810-1895)登上 悬崖,获得波斯铭文的拓片, 最终破译了Behistun 铭文。
H. C. Rawlinson (1810–1895)
Code of Hammurabi
Lecture 3 Ancient Mathematics (II): Mesopotamia
18世纪末,欧 洲旅行者在伊 朗西北部一个 村庄附近的悬 崖上发现了古 代的浮雕,上 方刻有三种文 字的铭文。浮 雕刻于波斯国 王Darius 时期 (522 B.C.E.– 486 B.C.E.)。
Lecture 3 Ancient Mathematics (II): Mesopotamia 美索不达米亚年表 Halaf时期
陶器
欧贝德时期 Proto-Literate 时期 早王朝时期 苏美尔文明 阿卡德王国 古蒂过渡期 乌尔第三王朝 Isin-Larsa时期 古亚述时期 古巴比伦时期
汉穆拉比 1792-1750
Lecture 3 Ancient Mathematics (II): Mesopotamia
1802年,德国考古学家 和语言学家格罗特芬 (G. F. Grotefend, 1775-1853)首次对古 代巴比伦楔形铭文进行 破译,识别出10个字母。
G. F. Grotefend (1775–1853)
情诗:卿卿知我心(约1800BC)
Lecture 3 Ancient Mathematics (II): Mesopotamia
Lecture 3 Ancient Mathematics (II): Mesopotamia 泥版大小不一。小的只有 几个平方英寸,大的则如 今天的书本,厚约一英寸 半。有时单面书写,有时 双面书写。泥版所属时间 为公元前2100年-公元 300年之间。 最早的世界地图(约600BC)