THE ORBIFOLD CHOW RING OF TORIC DELIGNE-MUMFORD STACKS
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五年级英语文化常识单选题40题1.Which festival is on December 25th?A.HalloweenB.ThanksgivingC.Christmas答案:C。
圣诞节是在12 月25 日。
万圣节是在10 月31 日,感恩节是在11 月的第四个星期四。
2.Which festival is famous for pumpkin lanterns?A.ChristmasB.HalloweenC.Thanksgiving答案:B。
万圣节以南瓜灯闻名。
圣诞节的标志是圣诞树等,感恩节主要有火鸡等。
3.Which festival do people eat turkey?A.ChristmasB.HalloweenC.Thanksgiving答案:C。
感恩节人们吃火鸡。
圣诞节通常吃圣诞大餐等,万圣节没有吃火鸡的传统。
4.Which festival is related to Easter Bunny?A.ChristmasB.HalloweenC.Easter答案:C。
复活节与复活节兔子有关。
圣诞节有圣诞老人等,万圣节没有复活节兔子。
5.Which festival is on November 1st?A.All Saints' DayB.ThanksgivingC.Christmas答案:A。
11 月1 日是万圣节次日,即诸圣节。
感恩节是在11 月的第四个星期四,圣诞节是在12 月25 日。
6.Which festival do people give chocolates?A.Valentine's DayB.HalloweenC.Thanksgiving答案:A。
情人节人们送巧克力。
万圣节送糖果等,感恩节没有送巧克力的传统。
7.Which festival is on March 17th?A.St. Patrick's DayB.EasterC.Thanksgiving答案:A。
情人节的由来英文名词解释The Origin of Valentine's DayIntroduction:Valentine's Day is a widely celebrated holiday that annually falls on February 14th. It is a day dedicated to love, romance, and affection. But have you ever wondered how this day came into existence? In this article, we will explore the origin of Valentine's Day and delve into its historical roots.Ancient Roman Festival:The origins of Valentine's Day can be traced back to ancient Rome. In the early 3rd century AD, the Romans celebrated a festival called Lupercalia, which took place from February 13th to 15th. Lupercalia was a pagan fertility festival that honored the Roman god Lupercus.Traditions during Lupercalia involved sacrificing animals, particularly goats and dogs, and using their hides to whip women. It was believed that this ritual would enhance fertility and purify the city. Young women willingly lined up to be struck by these hides, believing it would increase their chances of marriage and improve their fertility.Christian Influence:As Christianity spread across Europe and began to gain prominence, the early Christian leaders sought to replace pagan festivals with Christian ones. In the 5th century AD, Pope Gelasius I declared February 14th as St. Valentine's Day, in an attempt to Christianize the Lupercalia festival.Origin of St. Valentine:The name "Valentine" is derived from a common name in ancient Rome. However, there are numerous legends and stories associated with the origin of St. Valentine himself.One popular story is that Valentine was a Christian priest during the reign of the Roman Emperor Claudius II.Emperor Claudius II believed that single men made better soldiers, so he outlawed marriage for young men. Valentine, however, continued to perform marriages in secret, defying the emperor's orders. When his actions were discovered, Valentine was imprisoned and sentenced to death.During his time in prison, Valentine is said to have fallen in love with the jailer's daughter. Before his execution, he wrote her a love letter signed, "From Your Valentine." This phrase is still commonly used today on Valentine's Day.Spread of Valentine's Day:Over the centuries, as Christianity spread throughout Europe and the Roman Empire crumbled, the celebration of St. Valentine's Day gradually became more popular. It evolved into a day to honor love and affection, rather than focusing solely on fertility.In the Middle Ages, the idea of courtly love gained prominence, and romantic gestures and expressions of love became more prevalent. People began to exchange handmade cards and romantic poems, laying the groundwork for the tradition of giving Valentine's Day cards that continues to this day.Commercialization of Valentine's Day:In the 19th century, the industrial revolution and advancements in printing technology made it easier to mass-produce Valentine's Day cards. The introduction of the penny post in the UK further popularized sending Valentine's cards, making the holiday accessible to a wider audience.Today, Valentine's Day has become highly commercialized. It is a day when people express their love and affection through gifts, flowers, chocolates, and romantic gestures. Retailers capitalize on this observance, creating an industry worth billions of dollars worldwide.Conclusion:Valentine's Day, with its roots in ancient Roman traditions and Christian legends, has evolved over time into a celebration of love and romance. It has become an opportunity to express affection to loved ones and celebrate the bonds we share. Although the holiday may have become commercialized, its essence still lies in heartfelt gestures and expressions of love.。
小学上册英语下册试卷(含答案)英语试题一、综合题(本题有50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 group of sheep?A. FlockB. SchoolC. PackD. Herd答案:A. Flock2 I occasionally host a toy ________ (名词) where my friends can come and play.3 The birds are ___ (chirping).4 The invention of the radio changed the way people _____.5 The U.S. has __________ states.6 The structure of a plant is designed to maximize ______ and growth. (植物的结构旨在最大化光合作用和生长。
)7 The puppy is _______.8 What is the largest organ in the human body?a. Heartb. Brainc. Skind. Liver答案:c9 What do you call a person who teaches students?A. DoctorB. TeacherC. ChefD. Engineer答案:B10 Who is known for saying "I have a dream"?A. Nelson MandelaB. Martin Luther King Jr.C. Albert EinsteinD. Mahatma Gandhi11 A sloth spends most of its time ________________ (睡觉).12 The capital of the British Virgin Islands is __________.13 What is the smallest continent?A. AfricaB. EuropeC. AustraliaD. Asia答案:C14 What is the opposite of love?A. CareB. HateC. LikeD. Joy15 The _____ (蜜蜂) plays a vital role in our ecosystem.16 What do we call the time when the sun sets?A. DawnB. DuskC. SunriseD. Twilight答案: B17 I like to _______ my family.18 I want to go to the ________.19 My dad tells me __________. (笑话)20 What do we call a group of fish swimming together?A. SchoolB. FlockC. PackD. Pod答案:A21 My favorite animal is a _______ because it’s cute.22 Chemicals can be represented by their ______ symbols.23 My dad is ________ (强壮).24 Which fruit is known for being very sour?a. Bananab. Lemonc. Peachd. Melon答案:B25 What do we call a piece of furniture you sleep on?A. ChairB. SofaC. BedD. Table26 I have a toy _____ that bounces.27 What is the capital of Italy?A. VeniceB. FlorenceC. RomeD. Milan答案:C28 I took my ________ (玩具名称) on a trip.29 The __________ (历史的纷争) can lead to reconciliation.30 What is the name of the famous beach destination in Florida known for its theme parks?A. MiamiB. OrlandoC. Key WestD. Fort Lauderdale答案: B. Orlando31 I enjoy ______ (listening) to music.32 The ________ (invention) changed the world.33 My dad is a _____ (摄影师) who captures nature.34 A ______ (植物工厂) can grow food year-round.35 What is the name of the famous American landmark that honors presidents?A. Statue of LibertyB. Mount RushmoreC. Lincoln MemorialD. Washington Monument答案:B36 The process of extracting metals from ores is called _____.37 The __________ is an important river in India. (恒河)38 A ____ is often seen splashing in the water and loves to swim.39 She is my _____ (好朋友) from school.40 What is the name of the famous landmark in Paris?A. Leaning Tower of PisaB. Eiffel TowerC. ColosseumD. Big Ben答案:B41 are great at ______ (攀爬). Squirrel42 What do you call a person who plays music?A. SingerB. DancerC. MusicianD. Artist答案:C43 The chemical formula for glucose is _____ (CHO).44 What is the name of the famous mountain in South America?A. KilimanjaroB. AconcaguaC. DenaliD. Mount Elbert45 My sister loves to listen to __________ (音乐).46 The ________ was a famous figure in the American Revolutionary War.47 A chemical reaction can be affected by the _____ of reactants.48 In geography, a __________ is a large landmass.49 What is the main ingredient in hummus?A. ChickpeasB. LentilsC. BeansD. Peas50 The __________ (传统习俗) are passed down through generations.51 A goat can climb on ________________ (岩石).52 What is the name of the famous ancient city in Greece?A. AthensB. SpartaC. CorinthD. Thebes答案:A. Athens53 Light years measure ______ in space.54 The backbone protects the ______ in animals.55 What is the chemical symbol for gold?A. AuB. AgC. PbD. Fe56 What is the name of the famous musician known as the "King of Pop"?A. Elvis PresleyB. Michael JacksonC. PrinceD. Madonna57 What is the main source of energy for the Earth?A. WindB. WaterC. SunD. Fossil fuels答案:C58 What is the main ingredient in sushi?A. PastaB. RiceC. BreadD. Meat答案:B59 What is the capital city of Egypt?A. CairoB. AlexandriaC. LuxorD. Giza60 A _______ is a large landmass surrounded by water.61 A ______ (蜜蜂) works hard to make honey.62 The children are _____ in the playground. (laughing)63 The _____ (公园) is beautiful in spring.64 I enjoy drawing pictures of __________ because they are __________.65 What is 15 7?A. 6B. 8C. 9D. 10答案:B66 My brother dreams of becoming a _______ (职业). 他希望 _______ (动词).67 在中国,________ (traditions) 如端午节和中秋节有着深厚的文化意义。
小学上册英语第4单元自测题英语试题一、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.My grandmother is a great __________ (讲述者).2.中国的________ (reforms) 在历史中带来了深刻的变化。
3.What do you call a person who studies the weather?A. MeteorologistB. ClimatologistC. GeologistD. BiologistA4.We will go _____ camping next month. (for)5.I can ______ (利用) my strengths to help others.6.What is the primary color of a stoplight for "go"?A. YellowB. GreenC. RedD. Blue7. A goldfish is a popular _______.8.What is 20 - 5?A. 10B. 12C. 15D. 17C9.What do we call a baby cat?A. PuppyB. KittenC. CubD. FoalB Kitten10.The _____ (小猫) is a playful little creature.11.My dad tells me __________. (笑话)12.I like to play with my ________ in the sand.13.What is the name of the famous ocean crossing the equator?A. Atlantic OceanB. Pacific OceanC. Indian OceanD. Arctic OceanB14.What is the main ingredient in tea?A. CoffeeB. WaterC. LeavesD. SugarC15.Grass is a common type of ______ found in many parks. (草是许多公园中常见的植物类型。
阅读理解A篇(应用文)考情概览:解读近年命题思路和内容要求,统计真题考查情况。
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在这四项考点中,阅读理解A篇应用文以细节理解的考查最多,是注重获取文章信息的体现,其次是推理判断。
2024年新课标I卷、II卷A篇属于应用文类,主要考查学生定位信息能力和细节理解能力,比较容易拿分。
它们是学生可能参与的真实项目,应用性特别突出。
2024年新课标I卷A篇主题意境为人与社会,文本是一篇应用文,介绍了一个生物栖息地修复工作队的工作内容和招募志愿者的相关信息和要求; 2024年新课标II卷A篇主题意境为人与自然,文本是一篇应用文,主要介绍了The CarlowAutumn WalkingFestival 的四种徒步活动。
2023年新课标I卷A篇属于广告信息类,主题是绿色骑行; 2023年II卷A篇讲述介绍了黄石国家公园提供的几项护林员项目。
【课标链接】依据新课程标准阅读理解部分要求考生读懂选自英语原版书籍、书报和杂志(含网络版)中关于一般性话题的简短文段以及,并能从中获取相关信息。
英语科试卷对接高中英语课程标准要求,阅读理解主要通过语篇情境,在考查阅读能力的同时渗透对文化意识和思维品质的培养。
涉及“人与自我”“人与社会”“人与自然”三大主题语境,符合课程标准提出的通过主题语境考查英语理解能力的要求。
高考阅读理解主要从细节理解,推理判断,主旨大意,词义猜测等四方面考查考生的英语阅读理解能力。
在这四项考点中,阅读理解A篇应用文以细节理解的考查最多,主要考查学生定位信息能力和细节理解能力;注重获取文章信息的体现,其次是推理判断。
小学上册英语第二单元期中试卷英语试题一、综合题(本题有50小题,每小题1分,共100分.每小题不选、错误,均不给分)1 I have a ___ (funny) joke to tell.2 What is the name of the famous painting by Leonardo da Vinci?A. The Starry NightB. The Last SupperC. The Girl with a Pearl EarringD. Mona Lisa答案: D3 The chemical symbol for samarium is ____.4 What is the capital of Russia?A. MoscowB. St. PetersburgC. VladivostokD. Novosibirsk5 My favorite toy is a ______ (玩具名). It is very ______ (形容词). I play with it every day. Sometimes, I take it to the ______ (地方).6 Which animal is known as "man's best friend"?A. CatB. DogC. BirdD. Fish答案: B. Dog7 I like to ___ (have) fun in the snow.8 The __________ can affect the growth of plants and animals.9 A __________ is the young stage of a butterfly.10 We enjoy _____ (kayaking) on the lake.11 What do you call a place where you can see art?A. LibraryB. GalleryC. TheaterD. Park12 What is 15 + 15?A. 25B. 30C. 35D. 4013 A _____ (植物影响力) extends beyond just aesthetics; it touches lives.14 The chipmunk is quick to _______ food.15 将图片对应的单词涂色,并将单词抄写在四线三格内。
小学上册英语第四单元综合卷英语试题一、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.When I feel sad, I like to hug my ________ (玩具名). It comforts me and makes me feel ________ (形容词) again.2.The chemical formula for isopropanol is ______.3.What do you call a person who repairs watches?A. JewelerB. ClockmakerC. HorologistD. MechanicC4.The nurse plays a vital role in _____ (患者护理).5.What instrument has keys and can be played in a band?A. GuitarB. ViolinC. PianoD. DrumsC6.I love to ______ (探索) the outdoors.7.The ____ has stripes and is known for its strength.8.My cousin, ______ (我的表弟), is learning to skateboard.9.Her dress is _______ (漂亮的).10.Dolphins are very ________________ (聪明).11.How do you say "hello" in Spanish?A. BonjourB. HolaC. CiaoD. NamasteB12.We have lunch at ______ (noon).13.He is very _____ (认真) about his studies.14.I enjoy _______ (看电影) on weekends.15.What do you call a baby dog?A. KittenB. PuppyC. CubD. FoalB Puppy16.The main gas present in the Earth's atmosphere is _______.17.My cat likes to chase _________ (虫子).18.What do we call the time of year when plants bloom?A. WinterB. SpringC. SummerD. Fall19.The capital of the Philippines is ________ (马尼拉).20. A __________ is a type of reaction that occurs when heat is absorbed.21.What is the capital of France?A. ParisB. LyonC. MarseilleD. NiceA22.The ancient Egyptians invented the ________ (日历).23.My dad is always there to give me __________ (建议).24.The city of Oslo is the capital of _______.25.An _______ is an atom that has a charge.26.I have a ________ that sings.27.What do we call a place where we can see fish?A. AquariumB. ZooC. Pet storeD. Lake28.What do we call the tales told by the Brothers Grimm?A. Fairy TalesB. NovelsC. MythsD. FablesA29.Water is made up of two hydrogen atoms and one _______ atom.30.My grandma loves to bake ____ (bread).31.Did you ever hear a _______ (小虫子) chirping at night?32.What is the smallest continent?A. AsiaB. AfricaC. AustraliaD. Europe33. A compound that contains nitrogen is called a ______.34.What do you call a place where you can buy books?A. LibraryB. StoreC. SchoolD. ParkB35.The __________ is a natural boundary between two countries. (山脉)36.The sun is ______ over the mountains. (rising)37.I have a toy _______ that dances and sings my favorite songs.38.The __________ (历史的讨论) can lead to greater understanding.39.I can _____ very high. (jump)40.The _______ of an object can be tested using a pressure gauge.41.小蛇) sheds its skin regularly. The ___42.The __________ makes it hard to see the road. (雾)43.What color is the sun?A. BlueB. YellowC. GreenD. Red44.My ________ (玩具) is a magical part of my life.45.We have _____ (three/four) pets at home.46.What is 2 + 2?A. 3B. 4C. 5D. 647.The ____ is a favorite among children and loves to play in the grass.48.The ____ has a distinctive tail that helps it balance.49.We play together after ____.50.What is the capital of Japan?A. BeijingB. TokyoC. SeoulD. BangkokB51.The Earth's layers have different ______ characteristics.52.He is very ___. (kind)53.What do we call the act of breaking down food in the body?A. DigestionB. AbsorptionC. CirculationD. RespirationA54.War saw the rise of ________ (间谍活动). The Cold55.What is the name of the famous novel written by Harper Lee?A. The Great GatsbyB. To Kill a MockingbirdC. Moby DickD. Pride and Prejudice56.The _____ (根部) store energy for the plant.57.What is the name of the fairy tale with a big bad wolf?A. Little Red Riding HoodB. GoldilocksC. The Three Little PigsD. Jack and the BeanstalkA58.The _______ (Korean War) began in 1950 between North and South Korea.59.The __________ (科学成就) have driven historical progress.60. A __________ is a substance that cannot be broken down into simpler substances.61.What is the capital of Saint Vincent and the Grenadines?A. KingstownB. GeorgetownC. Arnos ValeD. CalliaquaA62.The ________ (冒险旅行) leads to new discoveries.63.I want to ___ an explorer. (become)64.The first female Nobel Prize winner was ________ (居里夫人).65.My sister is __________ (迷人的).66.My uncle is great at _______ (名词). 他能 _______ (动词).67.The __________ is a layer that supports plant life.68.My grandma is a great __________ (支持者).69.The cake is ________ and sweet.70.The sun is ___ in the sky. (bright)71.My sister draws _______ (画) very well.72.The ______ is an important scavenger.73.My brother loves to __________ (参加) school events.74.What do we call the study of living organisms?A. BiologyB. ChemistryC. PhysicsD. GeologyA75.The frog is sitting on a _______ (青蛙坐在_______上).76. A gas that can extinguish fires is ______.77.What do you call a baby giraffe?A. CalfB. KidC. PupD. FoalA78.I want to learn how to _______ (制作) movies.79.My friend plays ____ (baseball) every weekend.80.What is the capital city of Sweden?A. StockholmB. GothenburgC. MalmöD. Uppsala81. A porcupine uses its quills for ______ (自我保护).82.It is fun to _______ on the playground.83. A squid can expel ink as a ________________ (防御) mechanism.84.The lion roars to show its _________. (力量)85.The capital of Malaysia is __________.86. A horse makes a ______ sound.87.What is the capital city of Japan?A. SeoulB. BeijingC. TokyoD. Bangkok88.Insects help in the ______ (传粉) process.89.The _____ (汽车) is fast.90.The chemical symbol for iridium is _______.91.The _______ (小鸳鸯) is a symbol of love.92. A ________ (园艺活动) engages communities.93.My brother is ______ years old. (我哥哥______岁。
初二英语阅读理解文学常识题单选题40题1. Which of the following is a novel written by Charles Dickens?A. Pride and PrejudiceB. Oliver TwistC. Wuthering HeightsD. Jane Eyre答案:B。
解析:Charles Dickens 是英国著名作家,其代表作品有《Oliver Twist》。
选项A《Pride and Prejudice》的作者是Jane Austen;选项C Wuthering Heights》的作者是Emily Bronte;选项D Jane Eyre》的作者是Charlotte Bronte。
2. Who wrote Romeo and Juliet?A. William ShakespeareB. Geoffrey ChaucerC. Thomas HardyD. George Eliot答案:A。
解析:Romeo and Juliet》是William Shakespeare 的作品。
Geoffrey Chaucer 的代表作是《The Canterbury Tales》;Thomas Hardy 的作品有《Tess of the d'Urbervilles》等;George Eliot 的作品有Middlemarch》。
3. The famous novel David Copperfield was written by _____.A. Mark TwainB. Leo TolstoyC. Charles DickensD. Herman Melville答案:C。
解析:Charles Dickens 创作了 David Copperfield》。
Mark Twain 是美国作家;Leo Tolstoy 是俄国作家;Herman Melville 也是美国作家。
如何直观理解辛几何?辛几何不是什么微分几何的分支,你不懂不要胡说八道。
辛几何,代数几何和微分几何是平行的三个数学分支。
这是因为大部分人对微分几何的理解是很狭隘的,而中国大多数做微分几何的人也不了解辛几何。
什么Hamilton力学之类的玩意儿都是老黄历了,一开口就问本质明显是外行。
要想理解一门学科,就要既能直观理解,又能抽象理解,为什么一上来就先要直观理解?对自己的要求是不是太低了?许多人自己学辛几何,一上来看到定义就懵逼了,因为除了个non-degenerate closed 2-form之外什么都没有,这个2-form甚至不必positive-definite,也就是说不必是个metric,简直不知道是什么意思。
这也是我本科时候最早看到定义的反应。
实际上,要真正理解什么是symplectic manifold,就得理解什么是Kahler manifold,这和Gromov对现代辛几何的革命性想法也是一致的。
因为辛流形上最重要的结构并不是定义里出现的辛结构,而是隐蔽在背后的近复结构。
Gromov关键的观察之一是:和辛结构compatible的近复结构是大量存在的,以至于你可以非常自由地perturb它而不影响某些非线性微分方程定义的不变量。
假如这个近复结构可积,就得到Kahler流形。
假如没有这个近复结构,那么辛几何永远也不会成为一个学科,因为这种几何结构看起来过于flexible,根本就没有研究它的工具。
而近复结构恰恰提供了发展分析工具所需要的那一点点rigidity。
这就是Gromov的伟大之处。
最具体的symplectic manifold的例子当然是symplectic vector space,这时的辛几何就是一些线性代数。
稍微复杂一点的是symplectic toric manifold/orbifold,这在代数几何上有个平行的理论,就是toric variety。
在abelian Hamiltonian action情形,最重要的结果当然是Atiyah-Guillemin-Sternberg证明的moment polytope convex,这个结果告诉你toric manifold的研究可以reduce到跟中的polytope相关的组合数学,这跟toric variety的理论完全是一致的。