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人教A版高中数学必修一集合的基本运算教学设计(1)

  • 人教版高中语文必修4《柳永词两首》教案

    人教版高中语文必修4《柳永词两首》教案

    (一)上片:描写杭州的自然风光和都市的繁华“东南形胜,三吴都会,钱塘自古繁华”,“东南形胜”,是从地理条件、自然条件着笔写的。杭州地处东南,地理位置很重要,风景很优美,故曰:“形胜”。“三吴都会”,是从社会条件着笔写的。它是三吴地区的重要都市,那里人众荟萃,财货聚集,故曰:“都会”。“钱塘自古繁华”,这一句是对前两句的总结,因为杭州具有这些特殊条件,所以“自古繁华”。下面就对“形胜”、“都会”和“自古繁华”进行铺叙。“烟柳画桥,风帘翠幕,参差十万人家”是对“三吴都会”的展开描写。“云树绕堤沙。怒涛卷霜雪,天堑无涯”是对“东南形胜”的展开描写。这里选择了钱塘江岸和江潮两种景物来写。“市列珠玑,户盈罗绮,竞豪奢”是对“钱塘自古繁华”的展开描写。描写了两个方面:一是商业贸易情况——“市列珠玑”,只用市场上的珍宝,代表了商业的丰富、商业的繁荣;二是衣着情况——“户盈罗绮”,家家披罗着锦。“竞豪奢”,又总括杭州的种种繁华景象。

  • 人教版高中历史必修2开辟新航路教案

    人教版高中历史必修2开辟新航路教案

    材料五航路开辟后,东方香料输入欧洲的总量较中古之时猛增30倍,而胡椒、丁香等在印度购入和在英国卖出的差价亦高达10至29倍,其他货物的获利同样惊人。这一时期,新的商品不断涌现,特别值得注意的是美洲的特产——玉米、马铃薯、烟草、可可等——被传播到欧亚大陆。这时,世界性的对外贸易主要通过大西洋,地中海与意大利皆告衰落,而沿大洋的英、荷等渐居中心。到17世纪时,英国的伦敦与荷兰的阿姆斯特丹成为世界贸易中心。问题4:材料五表明,新航路开辟后对世界贸易产生了哪些重大影响?答案4:结束了世界相对孤立状态;各地文明开始会合交流,日益连成一个整体;欧洲商人直接同世界各地建立商业联系;促进不同国家和贸易的发展,促进世界市场雏形开始出现。

  • 人教版高中历史必修3从蒸汽机到互联网教案

    人教版高中历史必修3从蒸汽机到互联网教案

    (2)根据材料二与所学知识,从经济、政治、思想文化三个方面,分析欧洲近代科技迅速发展的原因。答:资本主义工商业的成长刺激了对技术的需求,为近代科技的发展提供了工具和手段;资产阶级革命为资本主义发展、科技进步开辟了道路;人文主义和理性精神解放了思想,推动近代科技迅速发展。(如答出其它原因,言之有理,可酌情加分,但不得超过该问总分)(3)根据材料二三与所学知识,分析清代(鸦片战争前)中国科技发展停滞的原因。答:君主专制维系腐朽制度;重农抑商、闭关政策阻碍资本主义萌芽发展;自然经济不能提供近代科技发展的物质基础;文化专制政策(或崇尚理学、八股取士、文字狱等)禁锢思想,摧残人才,阻碍科技发展。(如答出其它原因,言之有理,可酌情加分,但不得超过该问总分。)(4)简述从中西方科技发展变化的历史中得到的启示。答:评分说明:围绕生产力发展,政治经济变革、思想解放与科技发展的关系等任一角度回答,言之有理,均可酌情赋分

  • 人教版高中政治必修3体味文化教案2篇

    人教版高中政治必修3体味文化教案2篇

    3、文化是人们的一种素养(1)人的文化素养是在社会生活、实践中形成的。每个人所具有的文化素养,不是天生的,而是通过对社会生活的体验,特别是通过参与文化生活、接受知识文化教育而逐步培养出来的。文化素养的形成,离不开生活、实践和教育。人们在社会实践中创造和发展文化,也在社会生活中获得和享用文化。(2)人的文化素养表现在日常言行中。教师活动:引导学生阅读教材7页“公交车漫画”材料,并思考所反映的问题学生活动:积极思考并讨论问题教师点评:人们的精神活动离不开物质活动,人们的文化素养总是要通过他在日常生活中的言行、在社会实践活动中的表现等表现出来。我们通过观察人们的社会行为,就可以从中透视人们的精神世界和精神生活。4、文化的传承和发展离不开物质载体。社会文化和精神产品离不开物质载体,一个时代的文化和精神产品,往往是这一时代社会发展轨迹的反映。

  • 人教版高中政治必修4价值与价值观精品教案

    人教版高中政治必修4价值与价值观精品教案

    一、教材分析我们使用的是人教版第四册《生活与哲学》教材,本框属于第四单元第十二课第一框题。其内容主要分两目,第一目主要介绍价值的含义、人是社会一切财富的创造者、人的价值在于创造价值和对社会的责任和贡献,以及对一个人的评价主要看他的贡献等内容。第二目主要介绍价值观的导向作用,内容包括价值观的含义、价值观对人们认识世界和改造世界的活动具有导向作用以及对人生道路的选择具有导向作用。二、教学目标知识目标:1、识记价值和价值观的基本含义;价值观的导向作用。2、理解人的价值是什么?如何评价人的价值。3、运用所学知识及相关哲学原理,分析物的价值和人的价值的 不同,从中加深对人的价值的理解评论分析为什么对一个人的评价要看他的贡献,而不是索取了多少。

  • 新人教版高中英语必修2Unit 2 Wildlife Protection-Listening &Speaking&Talking教案

    新人教版高中英语必修2Unit 2 Wildlife Protection-Listening &Speaking&Talking教案

    Listening and Speaking introduces the topic of “how to save endangered wildlife and help wildlife in their neighborhood.” Due to the continuous deterioration of the living environment, a large number of wild animals are always facing the threat of endangered or extinction. Listening and speaking period enables students to understand the fact and reason why wild species are disappearing from the earth at an amazing speed, and realize that human beings ought to enhance the awareness of protecting wild species as soon as possible.Listening and Talking introduces the theme of " how to help wildlife in Ss’ neighborhood.". Now there are many volunteers who spontaneously protect wild animals, carry out various activities according to local conditions, and contribute their own strength to local animal protection with practical actions. Middle school students are also enthusiastic participants. They organize activities in their spare time, and take this opportunity to make friends, broaden their horizons, cultivate team spirit and communication skills. This section describes a bird watching activity organized by several middle school students of Bird watching Club. It aims to stimulate students' interest, improve their understanding of bird watching activities, and use the language structure of “being used for; in order to, so as to, to, so that, in order that ” to express the purpose for communication and discussion.1. Guide students to understand the content of listening texts in terms of using visuals to predict content.2. Cultivate students' ability to guess the meaning of words in listening; discuss with their peers how to save endangered wildlife and help wildlife in their neighborhood.3. Instruct students to use functional sentences of the dialogue such as “I am concerned about…” “what do you know about the endangered animals in…" and so on to talk about one of the endangered animals.

  • 新人教版高中英语必修2Unit 2 Wildlife Protection-Reading and Thinking教案二

    新人教版高中英语必修2Unit 2 Wildlife Protection-Reading and Thinking教案二

    The theme of this unit is human and nature, focusing on the theme of wildlife protection. Nature is a complex ecosystem, in which there are delicate balance between animals and plants. Because of the role of the food chain, the extinction of one species will produce influence, causing a series of chain reaction. Large scale extinction of species will have a serious and even irreversible impact on the ecosystem, resulting in immeasurable losses. Therefore, it is of great significance to protect wild species. To protect wild species is to protect human beings themselves. The motto of this unit is "when the buying stops, the killing can too,” which is a public service advertising slogan to protect wildlife. It tells people that every rhinoceros horn, every fur, every bowl of shark fin soup, every Ivory product, and every tiger bone product, etc. consumed by human beings, are innocent wild animals slaughtered behind them. The mission of wild aid is to ban illegal trade in endangered wildlife and mitigate climate change. It aims to educate the public to reduce the consumption demand for endangered wildlife products through public publicity and improve the awareness of environmental protection.1. Improve the awareness of wildlife protection by acquiring the knowledge of wildlife protection.2. Focus on environmental protection and protection of all lives.3. Analysis of the living environment of wild animals with appropriate thinking mode.4. Skillfully use the vocabulary and grammar knowledge of this unit to cultivate self-study ability according to the unit content5. Develop cooperative learning ability through discussion and other ways1. Enable the Ss to talk about the current situation of wild animals.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.

  • 新人教版高中英语必修2Unit 3 The Internet-Reading and Thinking教案二

    新人教版高中英语必修2Unit 3 The Internet-Reading and Thinking教案二

    Q5:What's Jan's next goal?Her next goal is to start a charity website to raise money for children in poor countries.Q6:What can we learn from her experiences?We learn that when we go through tough times, we can find help and support from other people online. We learn that we can feel less lonelyStep 5: While reading---rethinkingQ1: What is Jan’s attitude to the Internet ?Thankful/Grateful, because it has changed her and her life.Q2: What writing skills is used in the article ?Examples(Jan’s example, the 59-year-old man’s and the 61-year-old woman’s example)Q3: Can you get the main idea of the article ?The Internet has changed Jan’s life/Jan’s life has been changed by the Internet.Step 6 Post reading---Retell the storyMuch has been written about the wonders of the World Wide Web. There are countless articles (1)telling(tell) us how the Internet has made our lives more convenient. But the Internet has done a lot (2)more(much) for people than simply make life more convenient. People’s lives (3) have been changed(change) by online communities and social networks so far. Take Jan for example, who developed a serious illness that made her (4)stuck(stick) at home with only her computer to keep (5)her(she) company. She joined an online group (6)where she could share problems, support and advice with others. She considered the ability to remove the distance between people as one of the greatest (7)benefits(benefit). She was so inspired (8)that she started an IT club in which many people have been helped. She has started to learn more about how to use the Internet to make society better. Her next goal is to start a charity website to raise money (9)for children in poor countries. Jan’s life has been (10)greatly(great) improved by the Internet.

  • 新人教版高中英语必修2Unit 4 History and Traditions-Discovering Useful Structure教案二

    新人教版高中英语必修2Unit 4 History and Traditions-Discovering Useful Structure教案二

    This teaching period mainly deals with grammar: The past participle is used as attributive and objective complement.1. Guide students to review the basic usages of the past participle used as attributive and objective complement.2. Lead students to learn to use some special cases concerning the past participle used as attributive and objective complement flexibly.3. Strengthen students’ great interest in grammar learning.1. Help students to appreciate the function of the past participle used as attributive and objective complement.2. Instruct students to write essays using the past participle used as attributive and objective complement.Step1:温故而知新。Analyze the underlined phrases and then sum up the common usages of the past participles.1.(教材P41)They had castles built(build) all around England, and made changes to the legal system.2.(教材P42)They use the same flag, known(know) as the Union Jack,...3.(教材P42)Judy and I had our car parked(park) in an underground car park near Trafalgar Square, where we could get our car battery charged(charge).Common points: f the past participle used as attributive and objective complement.Step 2:过去分词作定语时的意义1.及物动词的过去分词作定语,在语态上表示被动;在时间上,常表示动作已经发生或完成,有时也不表示时间性。Our teacher watched us doing the experiment and gave us a satisfied smile at last.我们的老师看着我们做实验,最后给了我们一个满意的微笑。The plan put forward at the meeting will be carried out soon.会上提出的计划将很快被执行。2.不及物动词的过去分词作定语,它不表示被动意义,只强调动作完成。Many little kids like gathering fallen leaves in the yard.

  • 新人教版高中英语必修2Unit 4 History and Traditions-Reading and Thinking教案二

    新人教版高中英语必修2Unit 4 History and Traditions-Reading and Thinking教案二

    Step 5 While reading---Task 3Read the text again and answer the following questions.Q1: How many countries does the UK consist of ?4 Q2: What are the four countries of the United Kingdom?England, Wales, Scotland and Northern Ireland Q3: Which two were the first to be joined together ?England and WalesQ4: What are the two chief advantages of studying the history of a country ?The first one is to help you understand more about the country and its traditions.The second one is to make visiting it more enjoyable.Q5: What’s the author’s attitude towards studying the history ?Supportive/positiveStep 6 Post reading---Retell the textThe United Kingdom, Great Britain, Britain, England—many people are confused by (1)_____ these different names mean. In the 16th century, the nearby country of Wales (2) __________(join) to the Kingdom of England. In the 19 th century, the Kingdom of Ireland was added to create the United Kingdom of Great Britain and Ireland. Finally, the southern part of Ireland (3) ______ (break) away from the UK, which resulted in the full name we have today. However, most people just use the (4)_________(shorten) name: the UK. The four countries (5)__________ belong to the United Kingdom work together in some areas. There were four sets of invaders and the last group were the Normans. They had castles (6)_________(build) all around England and made changes (7)__________ the legal system. Studying the history of the country will make your visit much more (8)_________(enjoy). The capital city London is (9)___ ancient port city that has a history (10)______(date) back to Roman times. 1. what 2.was joined 3.broke 4.shortened 5.that 6. built 7.to 8.enjoyable 9.an 10.dating Step 6 Homework

  • 新人教版高中英语必修2Unit 4 History and Traditions-Listening&Speaking&Talking教案二

    新人教版高中英语必修2Unit 4 History and Traditions-Listening&Speaking&Talking教案二

    Listening and Speaking introduces the topic of “Take part in a youth project”. The listening text is an interview about "sharing views on historical sites". Through listening to a dialogue between Chinese and foreign students on the way to the Confucius Temple, students can understand their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts, so as to realize and think about the profound influence of Confucius and his thoughts on Chinese historical tradition. At the same time, the dialogue naturally integrates English idioms and mentions Shakespeare, the British playwright, so as to provide language materials and context for students to understand English idioms and related cultural allusions, as well as to compare Chinese and foreign cultures, which is helpful for students to understand and express the language such as history, tradition, culture and custom significant impact.Text analysis: listening text is a dialogue between a British student and a Chinese student when he goes to the Confucius Temple. When William, a British student, visited the Confucius Temple, he asked Xiao Kong, a Chinese student, for directions. Xiao Kong was just going to the Confucius Temple to meet with the members of the research group, so they went together and exchanged their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts. From the perspective of foreign tourists, this paper describes their thoughts on Confucius, the great son of Confucius, who had a profound impact on Chinese history and cultural tradition, and his education.Listening and Talking introduces a visit to a historic tourist destination. Tourism is a common way to understand a country's history, culture, and customs and so on. Students listen to the dialogue between Xiao Yan, a youth hostel Usher, and Paul, a backpacker, to learn about Pingyao's famous historical and cultural attractions and Paul's travel experience and experience as a foreign tourist.

  • 新人教版高中英语必修2Unit 4 History and traditions教案

    新人教版高中英语必修2Unit 4 History and traditions教案

    这个地区有着深厚的传统。既学既练:为了让更多的外国游客了解中国文化,欣赏中国美丽的自然风光,感受中国发生的巨大变化,某外文杂志社将出版一本英语小册子来介绍中国的旅游景点。该杂志社邀请你为该小册子写一篇英语短文来介绍杭州,内容包括:1.杭州的位置(中国东南部)、面积(16 000多平方公里)及历史(2 200多年)等;2.杭州的旅游特色(自然风景、传统文化、特色小吃等);3.希望更多的游客来杭州参观。注意:1.词数80左右;2.可适当增加细节,以使行文连贯。Located in the southeast of China, Hangzhou is a beautiful city.Dating back more than 2,200 years, Hangzhou covers an area of more than 16,000 square kilometers.In Hangzhou, you can visit the West Lake, whose scenery is fascinating.In addition, you can’t miss its cultural relics and historical sites, from which you will learn more about excellent Chinese traditional culture and traditions.In Hangzhou, the special snacks are famous and visitors from different parts of the world think highly of them.As a tourist attraction, Hangzhou attracts a large number of visitors from home and abroad every year.Once you come to China, Hangzhou is a scenic spot you can’t miss.

  • 新人教版高中英语必修2Unit 5 Music-Discovering Useful Structures教案二

    新人教版高中英语必修2Unit 5 Music-Discovering Useful Structures教案二

    4. When he got absorbed in his world of music, he felt as if he could “see” the beauty of the world around him, like he had in his previous life.P·P as adverbial: _________________________________________________________________.Function: _______________________________________________________________________.Step 5 Solid Complete the passage with the words in brackets in their correct forms.Well known as a successful band, the Impact members show quite a few striking qualities. They never ever give up. When _____________(question) by the media, they are not _____________(discourage) and practise even harder. They are improving themselves by attending several master training class. They are united. _____________(fill with) team spirit, they act as a whole, always aiming for glory. Step 6 Difference and similarity from -ingObserve the following examples.1. He went out, shutting the door behind him.=He went out, ________________________________________________________.2. Not knowing what to do, he went to his parents for help.=__________________________________________, he went to his parents for help.Similarity: _______________________________________________________________________________________________________________________________________________________.Difference : _______________________________________________________________________________________________________________________________________________________.Step Practice1. ________ in a hurry, this article was not so good. 因为写得匆忙, 这篇文章不是很好。2. ________ carefully, he found something he hadn’t known before. 他仔细读书时, 发现了一些从前不知道的东西。3. ________ why he did it, the monitor said it was his duty. 当被问及他为什么要这么做时, 班长说这是他的职责

  • 新人教版高中英语必修2Unit 5 Music-Listening&Speaking&Talking教案

    新人教版高中英语必修2Unit 5 Music-Listening&Speaking&Talking教案

    choir memberspeople to run food stands people to sell festival ticketspeople to sell music CDspeople to set up equipmentmusical performersStep 2: Listen to the announcement again and answer the questions. ? 1. What kind of songs will Grace Davis sing at the festival?? 2. Who can try out as a performer?? 3. What can those who think they do not have musical talent do?? 4. How can students volunteer to take part?? Talking about preferences:? Would you prefer doing ..?? What would you prefer to do?? Would you rather do .... or ….?? What would you rather do?? I'd prefer .... to ..? I'd rather have ... than .. Step 3: Speaking ProjectWork in groups. Role-play the conversation or make a new one.? Debbie: Where have you been? You missed the announcement about the music festival.? John: I was at the doctor's office. Music festival?? Frank: Yes, it's going to be next month on the school sports field. John, you can play the piano. How about playing it at the festival?? John: Well, I'd rather play the violin. I can play Liang Zhu.? Frank: Wow! Sounds good. What about you, Debbie? ? Debbie: Actually, I don't have much musical ability. I'd prefer just to help out with the crowds.? Frank: You can sell tickets or work at a food stand.? John: So can I assume that the aim of the festival is to raise money?? Debbie: Yes. All of the money will go to charity.

  • 人教版高中地理必修2城市化精品教案

    人教版高中地理必修2城市化精品教案

    1.改善城市环境:治理河流、控制大气污染物、大力加强绿化建设为改善城市环境,上海市全面展开对大气、河流、噪声等多方面的治理工作。如苏州河的治理、降低城市污染物浓度、加强绿化建设,截止1990年,市区绿化覆盖率达到20.3%。2.改善城市交通、改善居住条件扩宽主干道,修建环城公路,修筑了南浦大桥和扬浦大桥,新修城市高架公路和地铁,改造住宅。3.控制城市规模建立卫星城,开发新区,有效地控制城市中心区的规模。思考:什么时候许多国家采取措施保护和改善城市环境?你认为可以采取哪些措施来保护和改善城市环境?上海市保护和改善城市环境的措施:上海的卫星城有哪些?上海新建了哪个新区?目前浦东新区在上海的地位如何?建立卫星城和开发新区可以起到什么作用?上海市为改善交通条件,做了哪些工作?

  • 人教版高中地理必修2城市内部空间结构教案

    人教版高中地理必修2城市内部空间结构教案

    过渡:在实际生活中,城市内部空间结构并非完全按照这一经济规律呈现,而是更具复杂性。这说明除了经济因素外,还有很多其他因素在起作用,请大家结合你的认识、图2.9和案例1:纽约市的少数民族区谈谈你的看法。(2)其他因素I收入——形成不同级别住宅区的常见原因。有能力支付昂贵租金和选择最佳居住环境的人,其居住地往往形成高级住宅区。II知名度——城市内某些地区在历史、文化或经济方面具有很高的声誉,这往往会吸引更多新的住宅或商场建在该处,以提高其知名度。III种族聚居区的形成——在有些城市的某一区域内,如果某个种族或宗教团体占优势,就可能形成种族聚居区。如纽约市的唐人街、哈林区、小意大利区等。IV历史因素——城市的建筑物和街道设计可以维持久远,早期的土地利用方式对日后的功能分区有着深远的影响。

  • 人教版高中地理必修2工业地域类型教案

    人教版高中地理必修2工业地域类型教案

    1.生产上的联系:有投入——产出的关系工业生产的过程复杂,工序繁多,往往需要经过多家工厂的加工才能完成一种产品的生产过程。因此,在这些工厂之间就存在着产品与原料的联系。一家工厂生产的产品是另一家工厂的原料,这两家工厂之间就形成了工序上的工业联系。2.非生产上的联系:如地理空间上的联系布局在同一个工业区内,共同利用工业区的道路、供水、供电、通信等基础设施以及其他生产、生活服务设施,或者共同利用当地廉价的劳动力,形成了空间利用上的工业联系。我国许多地方的经济技术开发区就是建立在这种工业联系基础上的。(二)工业集聚1.形成具有工业联系的一些工厂往往近距离地聚集起来,形成工业集聚现象。2.工业集聚可获得效应(1)工业集聚可以加强企业间的信息交流和技术协作,降低中间产品的运输费用和能源消耗,进而降低生产成本,提高生产效率和利润,取得规模效益。

  • 人教版高中地理必修3区域农业发展教案

    人教版高中地理必修3区域农业发展教案

    1.归纳珠江三角洲发展基塘生产有利的地理条件。珠江三角洲地势低平,河网密布,降水充沛。北回归线从珠江三角洲的北部穿过。珠江三角洲地区发展基塘农业生产有利条件可以结合材料,归纳为三个方面:地形、气候、市场(当地和海外)。2.基塘生产将哪些产业联系起来?哪些副产品(或废弃物)被充分利用起来?这种联系对农村经济发展有什么作用?基塘生产环节将种植业(桑、蔗等)、养殖业(养蚕、养鱼)、工业(丝厂、糖厂)等几种产业紧密的联系在一起。在此环节中,塘泥、蚕沙(蚕屎)、蚕蛹、缫丝、滤泥、蔗叶等副产品被充分的回收利用。养蚕业、蔗糖加工业同塘鱼养殖业紧密结合,作为一种综合的经营,几者之间相互依存、相互促进、扬长补短,有机地循环联系起来。基本上解决了桑、蔗的肥料和蚕、鱼的饲料问题。不仅养蚕、蔗糖加工和养鱼生产稳定,而且成本也大大降低。

  • 人教版高中地理必修3区域工业化与城市化教案

    人教版高中地理必修3区域工业化与城市化教案

    知识和技能 1、 了解区域工业化和城市化之间的关系,以及它们对区域社会经济发展所起的作用 。2、分析导致珠江三角洲工业化和城市化快速推进的诸多思想束缚,并通过比较,认识到对外开放政策是其中的关键因素。3、 比较珠江三角 洲的 区工业化进程的两个主要阶段,归纳出不同时期的主要发展特点,并能够结合具体案例分析工业化进程对城市化的巨大推动。 4、分析珠江三角洲地区工业化和城市化进程中的问题,并尝试评价目前的一些调整措施和发展方向。5、通过分析我国珠江三角 洲地区工 业化、城市化的发展阶段、问题与对策,了解区域工业化和城市化的推进动力和发展规律。过程与方法 利用扮演不同的社会角色来谈对珠江三角洲地区未来经济和城镇发展的设想和建议,反馈学生知识、能力、价值观发展情况和效果, 培养学生对所学所得的运用能力,并为学生的创新精神的发 展营造有利氛围。情感、态度与价值观1、通过鼓励学生主动获 取资料的做法,关注学生实践能力、综合思维能力及终身学习能力的训练。

  • 人教版新课标高中物理必修2功率教案2篇

    人教版新课标高中物理必修2功率教案2篇

    1.用CAI课件模拟汽车的启动过程。师生共同讨论:①如果作用在物体上的力为恒力,且物体以匀速运动,则力对物体做功的功率保持不变。此情况下,任意一段时间内的平均功率与任一瞬时的瞬时功率都是相同的。②很多动力机器通常有一个额定功率,且通常使其在额定功率状态工作(如汽车),根据P=FV可知:当路面阻力较小时,牵引力也小,速度大,即汽车可以跑得快些;当路面阻力较大,或爬坡时,需要比较大的牵引力,速度必须小。这就是爬坡时汽车换低速挡的道理。③如果动力机器在实际功率小于额定功率的条件下工作,例如汽车刚刚起动后的一段时间内,速度逐渐增大过程中,牵引力仍可增大,即F和v可以同时增大,但是这一情况应以二者乘积等于额定功率为限度,即当实际功率大于额定功率以后,这种情况不可能实现。

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