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新人教版高中英語必修2Unit 3 The Internet-Reading and Thinking教案一
Paragraph 3. Jan decided to start an IT club to teach old people how to use computers and the Internet. Paragraph 4. Jan has started taking online classes to learn more about how to use the Internet to make society better. Paragraph 5. Jan’s life has been greatly improved by the Internet. Step 5: Critical thinking:(1)How do you arrange your time spent on study and the Internet? Is it reasonable? I usually surf the Internet using my mobile phone for only an hour after class, and it is reasonable for me.(2)What are your online activities? Are they safe? I chat with my friends, read news and play games. I never give away my private information so I think they are safe.Step 4: summary Much has been written about the wonders of the World Wide Web. There are countless articles (1)______(tell) us how the Internet has made our lives more convenient. But the Internet has done a lot (2)_____(much) for people than simply make life more convenient. People’s lives (3) _________________(change) by online communities and social networks so far. Take Jan for example, who developed a serious illness that made her (4)_____(stick) at home with only her computer to keep (5)___(she) company. She joined an online group (6)______ 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)_______(benefit). She was so inspired (8)____ 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)___ children in poor countries. Jan’s life has been (10)______(great) improved by the Internet. Step 5 Homework:Review what we have learned and find out the key language points in the text.
新人教版高中英語必修2Unit 4 History and Traditions-Listening＆Speaking＆Talking教案一
This unit is about history and traditions. From the opening page, we can know that this unit will introduce the history and traditions around the world. As Marcus Garvey says “A people without the knowledge of their past history, origin and culture is like a tree without roots”, it is important for students to realize the importance and value of knowing the history and traditions and their further meanings. And this part ( listening and speaking ) is divided into two parts: Part A---share views on historic sites, Part B ---talk about a visit to a historic tourist destination. By talking with a foreigner, the speakers introduce the historic attractions and their cultures. Part A is that William, a British student, who was going to visit the Confucius Temple and a Chinese student, Xiao Kong, who was going to the Confucius Temple to meet with the members of the research group, went together and exchanged their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts. Part B is a conversation between Xiao Yan, a youth hostel receptionist and Paul, a backpacker about the feelings and experience after visiting the Chinese famous tourist attraction Pingyao.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to guess the meaning of words in listening; discuss with their peers how to talk about historic spots and great person.3. Instruct students to use functional sentences of showing one’s excitement, surprise and disappointment.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to discuss with their peers the related topics.3. Enable students to use the functional items of showing one’s excitement, surprise and disappointment.
新人教版高中英語必修2Unit 3 The Internet-Reading for Writing教案二
8. However, the more polite you are, the less likely it is you will be attacked. 然而, 你越有禮貌, 你被攻擊的可能性就越小。 Step 8 Writing---the articleHow to stay safe in the online chat roomToday I thought I’d blog about a question that has been asked many times--- how do you stay safe online and avoid bad experiences in the online chat room ? I’m not an expert, but many years as a blogger have taught me a thing or two.First of all, there’s the golden rule of the Internet: keep out of what makes you uneasy. Don’t post comments or click on anything. Second, protect your privacy. Don’t give out too much private information like your address, phone numbers, the ID numbers, etc. Third, be polite. If you are polite to others on the Internet, you won’t be attacked in normal situation. Finally, don’t believe in others easily and never meet someone you met online alone. It is very dangerous.Have you had any bad experiences online, or do you have some good advice for staying safe? Post your comments below!Step 9 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Does the writer tell the reader what he/she know about the topic ?2. Are the tips and suggestions well organised ?3. Has the writer defined the new words ?4. Does the author include examples, comparison, or explanations ?5. Does the writer end by asking readers to leave comments and/or suggestions ?6. Can you find any grammar or spelling mistakes.Step 6 HomeworkPut up your revised draft in the classroom or read it to your class.
新人教版高中英語必修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
新人教版高中英語必修2Unit 4 History and Traditions-Reading and Thinking教案一
Features of languages1．Finally, in the 20th century, the southern part of Ireland broke away from the UK, which resulted in the full name we have today: the United Kingdom of Great Britain and Northern Ireland．該句是一個復(fù)合句。該句主句為：the southern part of Ireland broke away from the UK；which resulted in the full name we have today為which引導的定語從句代指前面整句話的內(nèi)容，we have today為定語從句修飾先行詞name。譯文：最后，在20世紀，愛爾蘭南部脫離英國，這導致了我們今天有的英國的全名：大不列顛及北愛爾蘭聯(lián)合王國。2．Almost everywhere you go in the UK, you will be surrounded by evidence of four different groups of people who took over at different times throughout history．該句是一個復(fù)合句。該句主句為：you will be surrounded by evidence of four different groups of people；其中Almost everywhere you go in the UK為讓步狀語從句； who took over at different times throughout history為定語從句修飾先行詞people。譯文：幾乎無論你走到英國的任何地方，你都會發(fā)現(xiàn)歷史上有四種不同的人在不同的時期統(tǒng)治過英國。3．The capital city London is a great place to start, as it is an ancient port city that has a history dating all the way back to Roman times．該句是一個復(fù)合句。該句主句為：The capital city London is a great place to start; as it is an ancient port city that has a history dating all the way back to Roman times．為原因狀語從句；dating all the way back to Roman times為現(xiàn)在分詞短語作定語修飾history。
新人教版高中英語必修2Unit 4 History and traditions教案
這個地區(qū)有著深厚的傳統(tǒng)。既學既練：為了讓更多的外國游客了解中國文化，欣賞中國美麗的自然風光，感受中國發(fā)生的巨大變化，某外文雜志社將出版一本英語小冊子來介紹中國的旅游景點。該雜志社邀請你為該小冊子寫一篇英語短文來介紹杭州，內(nèi)容包括：1．杭州的位置(中國東南部)、面積(16 000多平方公里)及歷史(2 200多年)等；2．杭州的旅游特色(自然風景、傳統(tǒng)文化、特色小吃等)；3．希望更多的游客來杭州參觀。注意：1．詞數(shù)80左右；2．可適當增加細節(jié)，以使行文連貫。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．
新人教版高中英語必修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. 因為寫得匆忙, 這篇文章不是很好。2. ________ carefully, he found something he hadn’t known before. 他仔細讀書時, 發(fā)現(xiàn)了一些從前不知道的東西。3. ________ why he did it, the monitor said it was his duty. 當被問及他為什么要這么做時, 班長說這是他的職責
新人教版高中英語必修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.
新人教版高中英語必修2Unit 5 Music-Discovering Useful Structures教案一
Step1:自主探究。1．(教材P52)Born(bear) in the USA on 2 January 1970, Whitacre began studying music at the University of Nevada in 1988．2．(教材P52) Moved(move) by this music, he said, “It was like seeing color for the first time．”3．(教材P56)I was very afraid and I felt so alone and discouraged(discourage)．4．(教材P58)Encouraged(encourage) by this first performance and the positive reaction of the audience, I have continued to play the piano and enjoy it more every day．Step2:語法要點精析。用法1：過去分詞作表語1）．過去分詞可放在連系動詞be, get, feel, remain, seem, look, become等之后作表語，表示主語所處的狀態(tài)Tom was astonished to see a snake moving across the floor．湯姆很驚訝地看到一條蛇正爬過地板。Finally the baby felt tired of playing with those toys．終于嬰兒厭倦了玩那些玩具。注意：1）.過去分詞作表語時與被動語態(tài)的區(qū)別過去分詞作表語時，強調(diào)主語所處的狀態(tài)；而動詞的被動語態(tài)表示主語是動作的承受者，強調(diào)動作。The library is now closed．(狀態(tài))圖書館現(xiàn)在關(guān)閉了。The cup was broken by my little sister yesterday．(動作)昨天我妹妹把杯子打碎了。2）感覺類及物動詞的現(xiàn)在分詞與過去分詞作表語的區(qū)別過去分詞作表語多表示人自身的感受或事物自身的狀態(tài)，常譯作“感到……的”；現(xiàn)在分詞多表示事物具有的特性，常譯作“令人……的”。
新人教版高中英語必修2Unit 5 Music-Reading and Thinking教案一
This section focuses on "learning about experiencing music Online". This virtual choir is a new form of music performance. Members from all over the world don't need to love to come to a place. Instead, they use the new technology to model the various parts and wonderful virtual harmony group of music in the family. Students need to understand the main meaning of each paragraph. Finding topic sentences is an important way to understand the general idea of a paragraph. After the topic sentence, it is usually the detail sentence that supports and explains the topic sentence. Some paragraphs have obvious subject sentences, for example, the first sentence of the second paragraph is the subject sentence of the paragraph, and the following sentenceStudents need to pay attention to the topic sentences and key sentences, and then pay attention to how the sentences after the meaning explain, explain and support the topic sentences or key sentences before.1.Guide students to learn about experiencing music online2.Guide students to scan and circle the information in the text.3.Guide students to find the numbers and dates to fill in the timeline.4.Guide students to learn more about music by completing the sentences with the correct forms of the words and phrases. And then make a mind map about the outline of the passage.1. Guide students to pay attention to reading strategies, such as prediction, self-questioning and scanning.2. Help students sort out the main meaning of each paragraph and understand the narrative characteristics of "timeline” in illustrative style.3. Lead students to understand the changes that have been caused by the Internet.
新人教版高中英語必修2Unit 5 Music-Reading for Writing教案二
The Internet celebrity Gao Yifeng. Years ago, he owned 5 companies and the staffs over 1,000, but during the economy crisis, he became nothing but debt. He was so worried that his hair became white overnight. There was a time when he wanted to killed himself. But after listening to the song Start Over by Liu Huan, he decided to cheer himself up. He started a steamed bun shop and gradually became a national chain shops. Now he became successful again.Walter Haddon said, “Music is the medicine of a troubled mind.” Music contains such a pleasant and inspiring force. Music gave him courage and bravery. When he listened to the song, it made his spirit fly like a kite in the wind. Music gave him strength and brought him relief. It was the rock I leant on to become strong and to get through those hard times. I hope none of us have to go through the same kind of suffering that he did. At the same time, we all go through various periods when we feel sad or alone. During those times, music can help us in the same way that it helped him. I hope we all will somehow begin to treasure music and make it a part of our life. Thank you for your listening !5.Revise your writing each other.Does he/she explain how music has changed his/her/someone else’s life?Are some of the rhetorical devices included and used properly ?Does he/she talk about how music makes him/her/someone feel?Is the first word in each sentences capitalised?Does he/she use correct punctuation ?
必修一牛頓第一定律教案
(二)?過程與方法? 4.?觀察生活中的慣性現(xiàn)象，了解力和運動的關(guān)系? 5.?通過實驗加深對牛頓第一定律的理解? 6.?理解理想實驗是科學研究的重要方法? (三)?情感態(tài)度與價值觀? 7.?通過伽利略和亞里士多德對力和運動關(guān)系的不同認識，了解人類認識事物本質(zhì)的曲折性? 8.?感悟科學是人類進步的不竭動力
人教版新課標高中物理必修2動能和動能定理教案2篇
二、課堂教學（課前由科代表發(fā)回預(yù)習學案）1、教師根據(jù)預(yù)習學案檢查結(jié)果提出問題（用多媒體展示），引導全班討論（重點討論：①、為什么動能的表達式一定是 mV2 ？你如何得出這個結(jié)論？②、力在一個過程中對物體所做的功，和物體在這個過程中動能的變化量有什么關(guān)系？你如何得出這個結(jié)論？這個做功的力和F=ma中的力F有什么關(guān)系）。有困難的小組應(yīng)及時問老師。老師在這個過程中巡視指導。2、學生自主閱讀課文“7 動能和動能定理”中的“動能的表達式”，然后完成如下練習（教師在此過程中巡視指導）：2.1嘗試推出動能的表達式（鼓勵會推導的同學積極上臺板演，老師引導討論）。2.2寫出動能的小結(jié)（認真閱讀教材p66倒數(shù)第二段、第三段，結(jié)合你推導動能表達式的過程，認真思考后四人一組討論：①、動能是矢量還是標量？②、動能的單位是什么？③、你認為應(yīng)從哪幾方面來理解動能？）
人教版高中歷史必修2第二次工業(yè)革命教案2篇
請回答：根據(jù)上述材料，概述第二次工業(yè)革命興起的主要原因?！紖⒖即鸢浮舰僬紊?，資本主義制度在世界范圍內(nèi)的確立，為第二次工業(yè)革命提供了政權(quán)保障。②市場上，世界市場進一步拓展，推動生產(chǎn)進步發(fā)展。③科技上，19世紀自然科學的飛速發(fā)展與重大突破。④勞動力上，擁有更多、素質(zhì)更好的自由勞動力。⑤經(jīng)濟上，擁有更加雄厚的資本。探索攻關(guān)二：第二次工業(yè)革命與壟斷組織的出現(xiàn)的關(guān)系材料一第二次工業(yè)革命產(chǎn)生的新興工業(yè)部門，在廠房、設(shè)備、技術(shù)要求和產(chǎn)品結(jié)構(gòu)的復(fù)雜性等方面，都對生產(chǎn)組織提出了新的要求。這是過去的獨家企業(yè)無法滿足的，而且一般沒有足夠的資金。……于是，集中資金的合股公司迅速增加起來，起大型企業(yè)壟斷組織也就應(yīng)運而生。
人教版高中歷史必修2第一次工業(yè)革命教案2篇
一、教學目標知識與能力：了解或掌握英國工業(yè)革命的條件和重要發(fā)明及進程，掌握工業(yè)革命的影響。分析工業(yè)革命首先發(fā)生在英國的條件和工業(yè)革命的影響，領(lǐng)會生產(chǎn)力和生產(chǎn)關(guān)系，經(jīng)濟基礎(chǔ)和上層建筑之間的辯證關(guān)系；分析工業(yè)革命對世界市場發(fā)展的影響，提高材料解析能力；分析世界市場基本形成的影響，培養(yǎng)學生運用辯證唯物主義和歷史唯物主義分析歷史事件的能力。過程與方法：啟發(fā)式談話法，問題探究法：層層設(shè)疑，環(huán)環(huán)相扣，由淺入深地理解知識。聯(lián)系比較法：構(gòu)建知識體系，突出事物特點。情感態(tài)度與價值觀：懂得科學技術(shù)是第一生產(chǎn)力，使學生尊重科學,熱愛科學；正確認識工業(yè)文明的成就與代價，幫助學生形成正確價值觀；聯(lián)系中國歷史深刻理解科技興國，深化改革的必要性。二、教學重點和難點重點：英國工業(yè)革命產(chǎn)生的原因、工業(yè)革命的主要成就和影響。難點：工業(yè)革命對資本主義世界市場發(fā)展的影響。課時安排：1課時教具準備： 多媒體課件以及相應(yīng)教學資料。
人教版高中政治必修4第十課創(chuàng)新意識與社會進步教案
2．辯證的否定(1)辯證的否定是事物的自我否定。事物內(nèi)部存在著肯定方面和否定方面，它們既對立又統(tǒng)一。最初，肯定方面處于支配地位，否定方面處于被支配地位。在這種情況下，事物就被肯定著。但是，在矛盾雙方的斗爭中，否定方面總會由弱變強。一旦否定方面由被支配地位上升為支配地位，事物就轉(zhuǎn)化到了自己的對立面，實現(xiàn)了對事物的否定。事物最終之所以被否定，根源在于事物的內(nèi)部，是事物內(nèi)部的否定因素戰(zhàn)勝了肯定因素。因此，事物的否定是自我否定。(2)辯證的否定是事物發(fā)展的環(huán)節(jié)和聯(lián)系的環(huán)節(jié)。所謂發(fā)展，是指新事物的產(chǎn)生和舊事物的滅亡。而實現(xiàn)這一過程必須要對舊事物進行否定，否定實現(xiàn)了事物由舊質(zhì)向新質(zhì)的飛躍。新事物在否定舊事物時，并不是把舊事物全盤拋棄，一筆勾銷。舊事物是新事物的母體，新事物從舊事物那里脫胎而來，新事物是在批判地繼承舊事物中的一切積極的有生命力的因素的基礎(chǔ)上發(fā)展起來的。這樣，在新舊事物之間就存在著必然的聯(lián)系。
人教版高中政治必修3第八課走進文化生活精品教案
1．加強社會主義文化建設(shè)的必要性在人類歷史的長河中，各種思想文化總是相互沖擊、交匯、融合．奔騰向前，永不停息。今天，我們面對的文化有傳統(tǒng)的和現(xiàn)代的、外來的和本土的、進步的和落后的、先進的和腐朽的、積極的和頹廢的，等等。各種各樣的文化有吸納又有排斥，有融合又有斗爭，有滲透又有抵御，呈現(xiàn)出前所未有的相互交織、相互激蕩之勢。在這種文化發(fā)展的大背景下，在我國現(xiàn)代化建設(shè)過程中，有必要弘揚我國社會主義的主流文化，這樣有利于保證我國社會主義文化發(fā)展的方向。2．大力加強社會主義文化建設(shè)(1)中國特色社會主義文化在我國文化生活中處于主導地位。中國特色社會主義文化，始終堅持以科學的理論武裝人，以正確的輿論引導人，以高尚的精神塑造人，以優(yōu)秀的作品鼓舞人，無論是思想內(nèi)容還是表現(xiàn)形式，都發(fā)揮著強有力的導向和示范作用。社會主義文化以其自身的科學性和先進性，并依靠社會主義政治和經(jīng)濟力量，在人民大眾的文化生活中始終占據(jù)著主導地位。
人教版高中政治必修3第一課文化與社會精品教案
(2)歷史課本中歷朝歷代的文化發(fā)展。(3)政治生活中關(guān)于綜合國力競爭的相關(guān)知識。(4)了解文化產(chǎn)業(yè)的發(fā)展，深入體會知識經(jīng)濟、文化經(jīng)濟現(xiàn)象。五、【方法點津】：(1)堅持理論聯(lián)系實際的方法，感悟文化現(xiàn)象，理解文化內(nèi)涵，分析文化的作用，增強文化學習的自覺性。(2)自學探究。以課本的簡單提示為線索，深入探究文化與經(jīng)濟、政治的相互交融，探究文化在綜合國力競爭中的地位和作用。(3)集體討論。針對當前國際競爭的實質(zhì)，探討我國應(yīng)如何發(fā)展文化產(chǎn)業(yè)、發(fā)展文化生產(chǎn)力、增強文化競爭力；討淪為更好地應(yīng)對文化競爭，作為中學生目前應(yīng)做好哪些準備。六、【課文導語】：文化，一個我們十分熟悉的詞匯。然而“熟知并非真知”。有人說，文化是知識；有人說，文化是藝術(shù)。究竟什么是“文化”?只要在社會生活中細細體味，我們就能真切地感悟“文化”的內(nèi)涵與文化的力量。
人教版高中政治必修3第五課文化創(chuàng)新精品教案
3．社會實踐對文化創(chuàng)新的決定作用社會實踐對文化創(chuàng)新具有兩個方面的重要作用：(1)社會實踐是文化創(chuàng)新的源泉實踐，作為人們改造客觀世界的活動，是一種有目的、有意識的社會性活動。人類在改造自然和社會的實踐中，創(chuàng)造出自己特有的文化。離開了社會實踐；文化就會成為無源之水、無本之木，人們不可能從事任何有價值的文化創(chuàng)造?！蟊菊n小結(jié)：1．關(guān)于本課邏輯結(jié)構(gòu)的宏觀把握：文化創(chuàng)新的源泉和作用這一問題，教材分三個層次展開論證：一是不盡的源泉，不竭的動力；二是巨大的作用，深刻的意義；三是呼喚文化創(chuàng)新的時代。教材運用辯證方法從文化創(chuàng)新的源泉和作用展開論述。即社會實踐是文化創(chuàng)新的源泉，文化創(chuàng)新又推動社會實踐的發(fā)展和促進民族文化的繁榮。教材關(guān)于文化創(chuàng)新的途徑問題，從三個層次展開講述：第一個層次是“繼承傳統(tǒng)，推陳出新”；第二個層次是“面向世界，博采眾長”；第三個層次是“堅持正確方向，克服錯誤傾向”。
人教版高中政治必修4第十課創(chuàng)新意識與社會進步精品教案
在數(shù)學上，0這個數(shù)是解決記數(shù)和進位問題而引進的概念，由于它不能表示實在的東西，很長時間人們不把它看作是一個數(shù)。認為0是無，是對有的否定。從唯物辯證法的觀點看，這種否定不是形而上學的簡單否定，而是具有豐富內(nèi)容的辨證否定。辨證的否定是發(fā)展的環(huán)節(jié)。0是從無到有的必經(jīng)之路，是連接無和有的橋梁。0又是正數(shù)和負數(shù)之間的界限，它既否定了任何正數(shù)，也否定了任何負數(shù)，是唯一的中性數(shù)。但它又是聯(lián)結(jié)正數(shù)和負數(shù)的中間環(huán)節(jié)。沒有0，負數(shù)就過渡不到正數(shù)去，正數(shù)也休想發(fā)展到負數(shù)來。數(shù)學中的0是對任何定量的否定。如果沒有這一否定，任何量的發(fā)展都無從談起。這個否定不是一筆勾銷，而是揚棄。因為它克服了任何定量的有限性，成為其發(fā)展的環(huán)節(jié)。在現(xiàn)實生活中，0作為辨證的否定，也體現(xiàn)出聯(lián)系和發(fā)展的性質(zhì)。如0度不是沒有溫度，而是非常確定的溫度。