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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-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.
新人教版高中英語必修2Unit 5 Music-Reading and Thinking教案二
1. Get basic information about Eric; read deeply to understand the history and development of the virtual choir.2. Understand what the function of the virtual choir is and how to make a virtual choir.3. Understand the meaning of some languages in the context of the text through question guidance, such as “Many people do not have close friends or contacts who have the same interest in music.” and so on.Step 1 Leading-in1. Answer the following questions.Q1：Do you know the Apps like Tik Tok and Quick Hand?Q2: Do you want to make a Tik Tok video or a Quick Hand video?2. Play a Tik Tok video Step 2: Understanding the title Q1：What does the title mean ?Q2: Is the article a narration or exposition? Why? Q3: Can you change the title ? If you can, what is the title?Step 3: Scanning the whole text and getting the basic information1. Answer the following questions.Q1：Who came up with the idea for a virtual choir?Q2: Where did Eric studied the musical composition?Q3: What is his song?2. Find the main idea of each paragraph3. Deal with some new words.Step 4: Reading carefully to get detailed informationPara 1 How to make a virtual choir1. PreparationA. tools: a virtual camera; an Internet connectionB. hero/heroin: friends or some individuals who have the same interests2. Process
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 ?
新人教版高中英語必修3Unit 2 Morals and Virtues教學(xué)設(shè)計(jì)二
Activity 41. Students complete the task of activity 4, then teachers and students check the answers. 2. The teacher organized the students to work together and asked them to use the tables and mind maps sorted out before to retold the important choices in Lin Qiaozhi's life and their resultsStep 5 Language points1. The teacher asks the students to read the text carefully, find out the core words and long and difficult sentences in the text and draw lines, understand the use of vocabulary, and analyze the structure of long and difficult sentences. 2. The teacher explains and summarizes the usage of core vocabulary and asks the students to take notes. 3. The teacher analyzes and explains the long and difficult sentences that the students don't understand, so that the students can understand them better. Step 6 Homework1. Read the text again, in-depth understanding of the text; 2. Master the use of core vocabulary and understand the long and difficult sentences. 3. Complete relevant exercises in the guide plan. 1、通過本節(jié)內(nèi)容學(xué)習(xí)，學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法；2、通過本節(jié)內(nèi)容學(xué)習(xí)，學(xué)生能否結(jié)合文本特點(diǎn)總結(jié)林巧稚的人生原則和人格品質(zhì)特征；3、通過本節(jié)內(nèi)容學(xué)習(xí)，學(xué)生能否針對人生抉擇發(fā)表自己的看法；能否全面地、客觀地、理性地看待問題，進(jìn)而對道德和人性有更加深入的思考和理解。
人教版高中歷史必修3宋明理學(xué)教案2篇
二、程朱理學(xué)：1、宋代“理學(xué)”的產(chǎn)生：（1）含義：所謂“理學(xué)”，就是用“理學(xué)”一詞來指明當(dāng)時(shí)兩宋時(shí)期所呈現(xiàn)出來的儒學(xué)。廣義的理學(xué)，泛指以討論天道問題為中心的整個(gè)哲學(xué)思潮，包括各種不同的學(xué)派；狹義的理學(xué)，專指程顥、程頤、朱熹為代表的，以“理”為最高范疇的學(xué)說，稱為“程朱理學(xué)”。理學(xué)是北宋政治、社會、經(jīng)濟(jì)發(fā)展的理論表現(xiàn)，是中國古代哲學(xué)長期發(fā)展的結(jié)果，是批判佛、道學(xué)說的產(chǎn)物。他們把“理”或“天理”視作哲學(xué)的最高范疇，認(rèn)為理無所不在，不生不滅，不僅是世界的本原，也是社會生活的最高準(zhǔn)則。在窮理方法上，程顥“主靜”，強(qiáng)調(diào)“正心誠意”；程頤“主敬”，強(qiáng)調(diào)“格物致知”。在人性論上，二程主張“去人欲，存天理”，并深入闡釋這一觀點(diǎn)使之更加系統(tǒng)化。二程學(xué)說的出現(xiàn)，標(biāo)志著宋代“理學(xué)”思想體系的正式形成?！竞献魈骄俊克未袄韺W(xué)”興起的社會條件：
人教版新課標(biāo)高中物理必修1牛頓第一定律教案3篇
一、知識與技能１、知道伽利略的理想實(shí)驗(yàn)及其主要推理過程和推論，知道理想實(shí)驗(yàn)是科學(xué)研究的重要方法２、理解牛頓第一定律的內(nèi)容及意義；理解力和運(yùn)動(dòng)的關(guān)系，知道物體的運(yùn)動(dòng)不需要力來維持。３、理解慣性的概念，知道質(zhì)量是慣性大小的量度；會用慣性解釋一些現(xiàn)象。二、過程與方法１、觀察生活中的慣性現(xiàn)象，了解力和運(yùn)動(dòng)的關(guān)系２、通過實(shí)驗(yàn)加深對牛頓第一定律的理解３、理解理想實(shí)驗(yàn)是科學(xué)研究的重要方法三、情感態(tài)度與價(jià)值觀１、通過伽利略和亞里士多德對力和運(yùn)動(dòng)關(guān)系的不同認(rèn)識，了解人類認(rèn)識事物本質(zhì)的曲折性２、感悟科學(xué)是人類進(jìn)步的不竭動(dòng)力［教學(xué)重點(diǎn)］１、理解力和運(yùn)動(dòng)的關(guān)系２、對牛頓第一定律和慣性的正確理解３、理想實(shí)驗(yàn)［教學(xué)難點(diǎn)］１、力和運(yùn)動(dòng)的關(guān)系２、慣性和質(zhì)量的關(guān)系［課時(shí)安排］1課時(shí)［教學(xué)過程］［引入］
人教版新課標(biāo)高中物理必修1牛頓第一定律教案3篇
一、知識與技能１、知道伽利略的理想實(shí)驗(yàn)及其主要推理過程和推論，知道理想實(shí)驗(yàn)是科學(xué)研究的重要方法２、理解牛頓第一定律的內(nèi)容及意義；理解力和運(yùn)動(dòng)的關(guān)系，知道物體的運(yùn)動(dòng)不需要力來維持。３、理解慣性的概念，知道質(zhì)量是慣性大小的量度；會用慣性解釋一些現(xiàn)象。二、過程與方法１、觀察生活中的慣性現(xiàn)象，了解力和運(yùn)動(dòng)的關(guān)系２、通過實(shí)驗(yàn)加深對牛頓第一定律的理解３、理解理想實(shí)驗(yàn)是科學(xué)研究的重要方法三、情感態(tài)度與價(jià)值觀１、通過伽利略和亞里士多德對力和運(yùn)動(dòng)關(guān)系的不同認(rèn)識，了解人類認(rèn)識事物本質(zhì)的曲折性２、感悟科學(xué)是人類進(jìn)步的不竭動(dòng)力［教學(xué)重點(diǎn)］１、理解力和運(yùn)動(dòng)的關(guān)系２、對牛頓第一定律和慣性的正確理解３、理想實(shí)驗(yàn)［教學(xué)難點(diǎn)］１、力和運(yùn)動(dòng)的關(guān)系２、慣性和質(zhì)量的關(guān)系
在第二批主題教育輪訓(xùn)總結(jié)時(shí)的講話
要分類推進(jìn)，對能改的問題馬上改，一時(shí)解決不了的要明確具體整改措施和時(shí)限，需要長期解決的要?jiǎng)澐蛛A段明確整改目標(biāo)，緊盯不放、階梯推進(jìn)。要聯(lián)動(dòng)推進(jìn)，第一批、第二批主題教育中，有些問題需要機(jī)關(guān)和基層上下聯(lián)動(dòng)共同解決，各負(fù)責(zé)單位要加強(qiáng)溝通聯(lián)系，指導(dǎo)下級不等不拖先動(dòng)起來。同時(shí)，對基層反映的問題要積極接納、主動(dòng)認(rèn)領(lǐng)，確保問題解決形成“回路”、形成合力。（四）嚴(yán)抓指導(dǎo)督導(dǎo)。第二批主題教育展開，D委機(jī)關(guān)必須走在前列、做好表率，為基層立好樣板。要力度不減嚴(yán)抓本級，結(jié)合D委中心組學(xué)習(xí)、組織生活，每月拉出一張表統(tǒng)籌推進(jìn)主題教育，每次集體活動(dòng)要認(rèn)真考勤登記，各局室辦一人不落做好補(bǔ)課。同時(shí)，領(lǐng)導(dǎo)小組辦公室和各部委，突出副處級上干部，做好讀書情況的檢查抽查。要指導(dǎo)基層籌劃開局，第二批主題教育展開后，向基層推廣機(jī)關(guān)開展主題教育的有益經(jīng)驗(yàn)做法，指導(dǎo)基層搞好方案擬制、審核把關(guān)，確保梯次有序推進(jìn)。
人教版高中歷史必修2世界經(jīng)濟(jì)的區(qū)域集團(tuán)化教案2篇
1、知識與能力：（1）了解歐洲聯(lián)盟的形成過程，剖析歐洲國家的一體化由經(jīng)濟(jì)實(shí)體向政治實(shí)體轉(zhuǎn)變的原因和實(shí)質(zhì)；（2）了解北美自由貿(mào)易區(qū)的形成過程，由北美自由貿(mào)易區(qū)的形成原因分析世界經(jīng)濟(jì)全球化與經(jīng)濟(jì)區(qū)域集團(tuán)化之間的關(guān)系和影響。（3）了解亞太經(jīng)濟(jì)合作組織的形成過程，明確其特點(diǎn)及出現(xiàn)此特點(diǎn)的原因。掌握中國在加入該組織后所發(fā)揮的作用，并由此引申出中國在經(jīng)濟(jì)區(qū)域集團(tuán)化過程中所發(fā)揮的作用。2、過程與方法：（1）通過學(xué)生對三大經(jīng)濟(jì)區(qū)域集團(tuán)形成過程和特點(diǎn)的比較，鍛煉學(xué)生把具體的歷史現(xiàn)象與整體的社會背景聯(lián)系的能力，培養(yǎng)學(xué)生建立起全面的歷史觀。（2）通過對經(jīng)濟(jì)區(qū)域集團(tuán)化趨勢的出現(xiàn)和它與經(jīng)濟(jì)全球化之間關(guān)系的分析，培養(yǎng)學(xué)生辨證的看問題，透過現(xiàn)象分析本質(zhì)的能力。
人教版新課標(biāo)高中物理必修1用牛頓運(yùn)動(dòng)定律解決問題（二）說課稿2篇
教師活動(dòng)：（1）組織學(xué)生回答相關(guān)結(jié)論，小組之間互相補(bǔ)充評價(jià)完善。教師進(jìn)一步概括總結(jié)。（2）對學(xué)生的結(jié)論予以肯定并表揚(yáng)優(yōu)秀的小組，對不理想的小組予以鼓勵(lì)。（3）多媒體投放板書二：超重現(xiàn)象：物體對支持物的壓力(或?qū)覓煳锏睦?大于物體所受到的重力的情況稱為超重現(xiàn)象。實(shí)質(zhì)：加速度方向向上。失重現(xiàn)象：物體對支持物的壓力(或?qū)覓煳锏睦?小于物體所受到的重力的情況稱為失重現(xiàn)象。實(shí)質(zhì)：加速度方向向下。（4）運(yùn)用多媒體展示電梯中的現(xiàn)象，引導(dǎo)學(xué)生在感性認(rèn)識的基礎(chǔ)上進(jìn)一步領(lǐng)會基本概念。4．實(shí)例應(yīng)用，結(jié)論拓展：教師活動(dòng)：展示太空艙中宇航員的真實(shí)生活，引導(dǎo)學(xué)生應(yīng)用本節(jié)所學(xué)知識予以解答。學(xué)生活動(dòng)：小組討論后形成共識。教師活動(dòng)：（1）引導(dǎo)學(xué)生分小組回答相關(guān)問題，小組間互相完善補(bǔ)充，教師加以規(guī)范。（2）指定學(xué)生完成導(dǎo)學(xué)案中“思考與討論二”的兩個(gè)問題。
人教版高中語文必修2《成語：中華文化的微縮景觀》教案2篇
七、教學(xué)反思這堂課有眼下看得見的效果和暫時(shí)看不見的長遠(yuǎn)的效果，學(xué)生收益明顯：1．學(xué)生學(xué)到的不只是成語本身。學(xué)生從網(wǎng)絡(luò)上搜集材料，分析整理，不只是學(xué)成語，探究能力也得到提高。對成語的梳理探究，是讓學(xué)生做一件很具體的事——梳理、分析、歸類。重在過程，重在課外、課前學(xué)生的工作。這樣的教學(xué)設(shè)計(jì)很有價(jià)值，讓學(xué)生在活動(dòng)中得到提高。2．開拓了學(xué)生的眼界。學(xué)生放眼各種報(bào)刊，從報(bào)刊中發(fā)現(xiàn)問題——大家都可能出錯(cuò)。這樣一來學(xué)生的眼界變寬了，自信心增強(qiáng)了。3．對成語的理解、運(yùn)用比過去深刻。讓學(xué)生從對一個(gè)個(gè)具體成語的理解入手，進(jìn)而認(rèn)識到以后用成語不能犯“望文生義”等錯(cuò)誤，從個(gè)例上升到一般。4．讓學(xué)生知道以后自己運(yùn)用成語應(yīng)抱什么態(tài)度，用什么方法。別人錯(cuò)用成語，是前車之鑒。
人教版高中政治必修2國際社會的成員：主權(quán)國家和國際組織教案
（1）1945.10.24日，《聯(lián)合國憲章》生效，聯(lián)合國正式成立。主要機(jī)構(gòu)有：聯(lián)合國大會、安全理事會、經(jīng)濟(jì)及社會理事會、托管理事會、國際法院、秘書處等。（2）聯(lián)合國的宗旨：維護(hù)國際和平與安全；發(fā)展國際間以尊重人民平等權(quán)利及自決原則為基礎(chǔ)的友好關(guān)系；促進(jìn)國際合作，以解決國際間屬于經(jīng)濟(jì)、社會、文化及人類福利性質(zhì)的國際問題；作為協(xié)調(diào)各國活動(dòng)的中心。簡單地說，就是維護(hù)國際和平與安全，促進(jìn)國際合作與發(fā)展。（3）聯(lián)合國的原則：各會員國主權(quán)平等，履行憲章規(guī)定的義務(wù)，以和平方式解決國際爭端，不得對其他國家進(jìn)行武力威脅或使用武力，集體協(xié)作，不干涉任何國家的內(nèi)政，確保非會員國遵守上述原則。（4）聯(lián)合國的作用：聯(lián)合國在維護(hù)世界和平與安全，促進(jìn)經(jīng)濟(jì)、社會的發(fā)展，以及實(shí)行人道主義援助等方面發(fā)揮著積極作用。
人教版高中歷史必修2發(fā)達(dá)的古代農(nóng)業(yè)教案2篇
（四）概括古代中國農(nóng)業(yè)經(jīng)濟(jì)的基本特點(diǎn)從歷史地位、生產(chǎn)結(jié)構(gòu)、基本特征、基本模式等幾方面，小組討論古代中國農(nóng)業(yè)經(jīng)濟(jì)的特點(diǎn)，然后展示。1、歷史地位：中國是獨(dú)立發(fā)展、自成體系的世界農(nóng)業(yè)起源中心之一。2、生產(chǎn)結(jié)構(gòu)：種植業(yè)和家畜飼養(yǎng)業(yè)相結(jié)合，以種植業(yè)為主，家畜飼養(yǎng)業(yè)為輔。3、基本特征：農(nóng)業(yè)生產(chǎn)精耕細(xì)作。 4、基本模式：一家一戶的小農(nóng)經(jīng)濟(jì)。知識拓展：當(dāng)今中國農(nóng)村人口膨脹，農(nóng)民生活條件急需提高，如何處理好“三農(nóng)”問題是中國社會走向和諧健康發(fā)展的重要課題，回顧中國古代農(nóng)業(yè)的發(fā)展歷程，結(jié)合農(nóng)業(yè)發(fā)展的現(xiàn)狀，談?wù)勀愕目捶ê徒ㄗh。展示：1.因地制宜，發(fā)揮各地特色優(yōu)勢2、精耕細(xì)作和現(xiàn)代科學(xué)相結(jié)合； 3.保護(hù)生態(tài)環(huán)境，堅(jiān)持可持續(xù)發(fā)展；4.完善水利設(shè)施，政府重視。
人教版高中數(shù)學(xué)選擇性必修二導(dǎo)數(shù)的四則運(yùn)算法則教學(xué)設(shè)計(jì)
求函數(shù)的導(dǎo)數(shù)的策略(1)先區(qū)分函數(shù)的運(yùn)算特點(diǎn)，即函數(shù)的和、差、積、商，再根據(jù)導(dǎo)數(shù)的運(yùn)算法則求導(dǎo)數(shù)；(2)對于三個(gè)以上函數(shù)的積、商的導(dǎo)數(shù)，依次轉(zhuǎn)化為“兩個(gè)”函數(shù)的積、商的導(dǎo)數(shù)計(jì)算．跟蹤訓(xùn)練1 求下列函數(shù)的導(dǎo)數(shù)：(1)y＝x2＋log3x； (2)y＝x3·ex； (3)y＝cos xx.[解] (1)y′＝(x2＋log3x)′＝(x2)′＋(log3x)′＝2x＋1xln 3.(2)y′＝(x3·ex)′＝(x3)′·ex＋x3·(ex)′＝3x2·ex＋x3·ex＝ex(x3＋3x2)．(3)y′＝cos xx′＝?cos x?′·x－cos x·?x?′x2＝－x·sin x－cos xx2＝－xsin x＋cos xx2.跟蹤訓(xùn)練2 求下列函數(shù)的導(dǎo)數(shù)（1）y＝tan x； （2）y＝2sin x2cos x2解析：（1）y＝tan x＝sin xcos x，故y′＝?sin x?′cos x－?cos x?′sin x?cos x?2＝cos2x＋sin2xcos2x＝1cos2x.（2）y＝2sin x2cos x2＝sin x，故y′＝cos x.例5 日常生活中的飲用水通常是經(jīng)過凈化的，隨著水的純凈度的提高，所需進(jìn)化費(fèi)用不斷增加，已知將1t水進(jìn)化到純凈度為x%所需費(fèi)用（單位：元），為c(x)=5284/(100-x) (80<x<100)求進(jìn)化到下列純凈度時(shí)，所需進(jìn)化費(fèi)用的瞬時(shí)變化率：（1） 90% ；（2） 98%解：凈化費(fèi)用的瞬時(shí)變化率就是凈化費(fèi)用函數(shù)的導(dǎo)數(shù)；c^' (x)=〖(5284/(100-x))〗^'=(5284^’×(100-x)-"5284 " 〖(100-x)〗^’)/〖(100-x)〗^2 =(0×(100-x)-"5284 " ×(-1))/〖(100-x)〗^2 ="5284 " /〖(100-x)〗^2
人教版高中歷史必修2二戰(zhàn)后蘇聯(lián)的經(jīng)濟(jì)改革教案
⑤強(qiáng)調(diào)對外關(guān)系的靈活性。戈?duì)柊蛦谭蛑赋鲈趯ν庹咧幸扇《喾N辦法選擇不同的策略路線達(dá)到既定目標(biāo)。在外交談判中不要為自己制造死胡同，也不要給對方制造死胡同，要善于迎合伙伴，尋求接觸點(diǎn)。在這種思想指導(dǎo)下，蘇共采取的對外戰(zhàn)略是以軍控為中心的緩和戰(zhàn)略，具體政策是繼續(xù)與美國就裁軍、消減核武器、限制地區(qū)沖突等問題進(jìn)行談判，緩解蘇美關(guān)系；對西歐爭取建立“全歐大廈”；對東歐實(shí)行糾偏、不干涉政策；對中國改善關(guān)系，實(shí)現(xiàn)關(guān)系正?；?；調(diào)整與第三世界國家關(guān)系，解決阿富汗、柬埔寨等問題。 3、影響：①經(jīng)濟(jì)改革措施倉促上馬，缺少宏觀決策和相應(yīng)的配套措施；加上戈?duì)柊蛦谭驔]有放棄蘇聯(lián)的傳統(tǒng)做法，繼續(xù)優(yōu)先發(fā)展重工業(yè)，致使改革未達(dá)到預(yù)期的效果，蘇聯(lián)經(jīng)濟(jì)持續(xù)下滑②經(jīng)濟(jì)體制改革受挫后，把改革的重點(diǎn)轉(zhuǎn)向政治領(lǐng)域，最終導(dǎo)致國內(nèi)局勢的失控和蘇聯(lián)的解體。
人教版高中數(shù)學(xué)選擇性必修二等比數(shù)列的概念 (2) 教學(xué)設(shè)計(jì)
二、典例解析例4. 用 10 000元購買某個(gè)理財(cái)產(chǎn)品一年.（1）若以月利率0.400%的復(fù)利計(jì)息，12個(gè)月能獲得多少利息（精確到1元）？（2）若以季度復(fù)利計(jì)息，存4個(gè)季度，則當(dāng)每季度利率為多少時(shí)，按季結(jié)算的利息不少于按月結(jié)算的利息（精確到10^(-5)）？分析：復(fù)利是指把前一期的利息與本金之和算作本金，再計(jì)算下一期的利息.所以若原始本金為a元，每期的利率為r ，則從第一期開始，各期的本利和a , a(1+r)，a(1+r)^2…構(gòu)成等比數(shù)列.解：（1）設(shè)這筆錢存 n 個(gè)月以后的本利和組成一個(gè)數(shù)列{a_n }，則{a_n }是等比數(shù)列，首項(xiàng)a_1=10^4 (1+0.400%)，公比 q=1+0.400%，所以a_12=a_1 q^11 〖=10〗^4 (1+0.400%)^12≈10 490.7.所以，12個(gè)月后的利息為10 490.7-10^4≈491（元）.解：（2）設(shè)季度利率為 r ，這筆錢存 n 個(gè)季度以后的本利和組成一個(gè)數(shù)列{b_n }，則{b_n }也是一個(gè)等比數(shù)列，首項(xiàng) b_1=10^4 (1+r)，公比為1+r，于是 b_4=10^4 (1+r)^4.
人教版高中數(shù)學(xué)選擇性必修二等差數(shù)列的概念（2）教學(xué)設(shè)計(jì)
二、典例解析例3.某公司購置了一臺價(jià)值為220萬元的設(shè)備，隨著設(shè)備在使用過程中老化，其價(jià)值會逐年減少.經(jīng)驗(yàn)表明，每經(jīng)過一年其價(jià)值會減少d(d為正常數(shù)）萬元.已知這臺設(shè)備的使用年限為10年，超過10年 ，它的價(jià)值將低于購進(jìn)價(jià)值的5%，設(shè)備將報(bào)廢.請確定d的范圍.分析：該設(shè)備使用n年后的價(jià)值構(gòu)成數(shù)列{an}，由題意可知，an＝an－1－d (n≥2). 即：an－an－1＝－d.所以{an}為公差為－d的等差數(shù)列.10年之內(nèi)（含10年），該設(shè)備的價(jià)值不小于（220×5%=）11萬元；10年后，該設(shè)備的價(jià)值需小于11萬元．利用{an}的通項(xiàng)公式列不等式求解．解：設(shè)使用n年后，這臺設(shè)備的價(jià)值為an萬元，則可得數(shù)列{an}．由已知條件，得an＝an－1－d（n≥2）．所以數(shù)列{an}是一個(gè)公差為－d的等差數(shù)列.因?yàn)閍1＝220－d，所以an＝220－d＋(n－1)(－d)＝220－nd. 由題意，得a10≥11，a11＜11. 即：{█("220－10d≥11" @"220－11d＜11" )┤解得19<d≤20.9所以，d的求值范圍為19<d≤20.9
人教版高中數(shù)學(xué)選擇性必修二等比數(shù)列的前n項(xiàng)和公式 (2) 教學(xué)設(shè)計(jì)
二、典例解析例10. 如圖，正方形ABCD 的邊長為5cm ，取正方形ABCD 各邊的中點(diǎn)E,F,G,H, 作第2個(gè)正方形 EFGH，然后再取正方形EFGH各邊的中點(diǎn)I,J,K,L，作第3個(gè)正方形IJKL ，依此方法一直繼續(xù)下去. (1) 求從正方形ABCD 開始，連續(xù)10個(gè)正方形的面積之和；(2) 如果這個(gè)作圖過程可以一直繼續(xù)下去，那么所有這些正方形的面積之和將趨近于多少？分析：可以利用數(shù)列表示各正方形的面積，根據(jù)條件可知，這是一個(gè)等比數(shù)列。解：設(shè)正方形的面積為a_1，后續(xù)各正方形的面積依次為a_2, a_(3, ) 〖…,a〗_n,…，則a_1=25,由于第k+1個(gè)正方形的頂點(diǎn)分別是第k個(gè)正方形各邊的中點(diǎn)，所以a_(k+1)=〖1/2 a〗_k,因此{(lán)a_n}，是以25為首項(xiàng)，1/2為公比的等比數(shù)列.設(shè){a_n}的前項(xiàng)和為S_n（1）S_10=(25×[1-(1/2)^10 ] )/("1 " -1/2)=50×[1-(1/2)^10 ]=25575/512所以，前10個(gè)正方形的面積之和為25575/512cm^2.(2)當(dāng)無限增大時(shí)，無限趨近于所有正方形的面積和
人教版高中數(shù)學(xué)選擇性必修二等差數(shù)列的前n項(xiàng)和公式（2）教學(xué)設(shè)計(jì)
課前小測1．思考辨析(1)若Sn為等差數(shù)列{an}的前n項(xiàng)和，則數(shù)列Snn也是等差數(shù)列．( )(2)若a1>0，d<0，則等差數(shù)列中所有正項(xiàng)之和最大．( )(3)在等差數(shù)列中，Sn是其前n項(xiàng)和，則有S2n－1＝(2n－1)an.( )[答案] (1)√ (2)√ (3)√2．在項(xiàng)數(shù)為2n＋1的等差數(shù)列中，所有奇數(shù)項(xiàng)的和為165，所有偶數(shù)項(xiàng)的和為150，則n等于( )A．9 B．10 C．11 D．12B [∵S奇S偶＝n＋1n，∴165150＝n＋1n.∴n＝10.故選B項(xiàng)．]3．等差數(shù)列{an}中，S2＝4，S4＝9，則S6＝________.15 [由S2，S4－S2，S6－S4成等差數(shù)列得2(S4－S2)＝S2＋(S6－S4)解得S6＝15.]4．已知數(shù)列{an}的通項(xiàng)公式是an＝2n－48，則Sn取得最小值時(shí)，n為________.23或24 [由an≤0即2n－48≤0得n≤24.∴所有負(fù)項(xiàng)的和最小，即n＝23或24.]二、典例解析例8.某校新建一個(gè)報(bào)告廳，要求容納800個(gè)座位，報(bào)告廳共有20排座位，從第2排起后一排都比前一排多兩個(gè)座位. 問第1排應(yīng)安排多少個(gè)座位？分析：將第1排到第20排的座位數(shù)依次排成一列，構(gòu)成數(shù)列{an} ，設(shè)數(shù)列{an} 的前n項(xiàng)和為S_n。
