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人教版高中政治必修1信用工具和外匯說課稿
一、對教材內(nèi)容的處理根據(jù)新課程標準的要求、知識的跨度、學(xué)生的認知水平，我對教材內(nèi)容有增有減。二、教學(xué)策略的選用（一）運用了模擬活動，強化學(xué)生的生活體驗,本框題知識所對應(yīng)的經(jīng)濟現(xiàn)象，學(xué)生已具有了一定的生活體驗，但是缺乏對這種體驗的深入思考。因此在進一步強化這種體驗的過程中進行了思考和認知，使知識從學(xué)生的生活體驗中來，從學(xué)生的思考探究中來，有助于提高學(xué)生的興趣，有助于充分調(diào)動學(xué)生現(xiàn)有的知識，培養(yǎng)學(xué)生的各種能力，也有助于實現(xiàn)理論知識與實際生活的交融。（二）組織學(xué)生探究知識并形成新的知識我從學(xué)生的生活體驗入手，運用案例等形式創(chuàng)設(shè)情境呈現(xiàn)問題，使學(xué)生在自主探索、合作交流的過程中，發(fā)現(xiàn)問題、分析問題、解決問題，在問題的分析與解決中主動構(gòu)建知識。也正是由于這些認識來自于學(xué)生自身的體驗，因此學(xué)生不僅“懂”了，而且“信”了。從內(nèi)心上認同這些觀點，進而能夠主動地內(nèi)化為自己的情感、態(tài)度、價值觀，并融入到實踐活動中去，有助于實現(xiàn)知、行、信的統(tǒng)一。
人教版高中政治必修1面對經(jīng)濟全球化說課稿
2、傳授新知與學(xué)生展示（35分鐘） 先由老師點出本課的知識點，它包括：(1)經(jīng)濟全球化深入發(fā)展：結(jié)合課本91-93頁理解經(jīng)濟全球化的含義；經(jīng)濟全球化的表現(xiàn)：生產(chǎn)全球化，貿(mào)易全球化，資本全球化；跨國公司是實現(xiàn)經(jīng)濟全球化的載體。（跨國公司的含義、目的、作用分別是什么）（2）經(jīng)濟全球化的影響: 經(jīng)濟全球化的實質(zhì)：以發(fā)達資本主義國家為主導(dǎo)的經(jīng)濟全球化；消極影響積極影響；如何應(yīng)對經(jīng)濟全球化。講完了知識點，接著回歸圖片和書本的材料，給學(xué)生留下三個問題進行小組討論：A ：談?wù)勀愀惺艿降慕?jīng)濟全球化B :怎樣理解經(jīng)濟全球化是一把“雙刃劍”C:假如你是一位企業(yè)經(jīng)營者，面對經(jīng)濟全球化趨勢，你會怎么做？先完成討論的小組可舉手示意老師給予檢查，老師根據(jù)需要抽查同學(xué)到講臺進行展示討論的結(jié)果，并對表現(xiàn)突出的小組進行當堂獎勵。
人教版高中政治必修2守望公共家園說課稿
環(huán)節(jié)四 課堂小結(jié) 鞏固知識本節(jié)課我采用線索性的板書，整個知識結(jié)構(gòu)一目了然，為了充分發(fā)揮學(xué)生在課堂的主體地位，我將課堂小結(jié)交由學(xué)生完成，請學(xué)生根據(jù)課堂學(xué)習(xí)的內(nèi)容，結(jié)合我的板書設(shè)計來進行小結(jié)，以此來幫助教師在第一時間掌握學(xué)生學(xué)習(xí)信息的反饋，同時培養(yǎng)學(xué)生歸納分析能力、概括能力。環(huán)節(jié)五 情景回歸，情感升華我的實習(xí)指導(dǎo)老師告訴過我們，政治這一門學(xué)科要從生活中來到生活去，所以在課堂的最后讓學(xué)生考察自己所在社區(qū)存在的問題，然后制定監(jiān)督方案，以此培養(yǎng)學(xué)生對理論的實際運用能力，同時檢驗他們對知識的真正掌握情況，以此達到情感的升華，本節(jié)課，我根據(jù)建構(gòu)主義理論，強調(diào)學(xué)生是學(xué)習(xí)的中心，學(xué)生是知識意義的主動建構(gòu)者，是信息加工的主體，要強調(diào)學(xué)生在課堂中的參與性、以及探究性，不僅讓他們懂得知識，更讓他們相信知識，并且將知識融入到實踐當中去，最終達到知、情、意、行的統(tǒng)一。
人教版高中政治必修2作出最佳選擇說課稿
環(huán)節(jié)四 模擬演練 情感升華我將讓同學(xué)們閱讀課本22頁的材料，并按照所提供的步驟，組織學(xué)生舉辦一次模擬聽證會，將學(xué)生分為四個小組，分別扮演教育局工作人員、人大代表、學(xué)生家長、學(xué)校校長的角色。待學(xué)生們模擬聽證會結(jié)束后，我將采訪學(xué)生，讓他們談?wù)剠⒓油曷犠C會后的感受，從而利用角色感悟總結(jié)落實民主決策的重大意義。這樣，學(xué)生們在模擬演練中，感悟公民要通過各種渠道參與民主決策，是推進決策科學(xué)化、民主化的重要環(huán)節(jié)。為學(xué)生將來參與政治生活積累經(jīng)驗，增強了學(xué)生的主人翁意識和社會責(zé)任感。環(huán)節(jié)五 課堂小結(jié) 課后延伸我將用多媒體展示本節(jié)課的知識框架，并注重引導(dǎo)學(xué)生將今天所學(xué)新知識與前面知識聯(lián)系起來，幫助學(xué)生從宏觀上把握各知識點之間的關(guān)系，有利于學(xué)生理解記憶。另外，適當?shù)恼n堂練習(xí)能檢驗學(xué)生掌握知識的情況，因此，課堂小結(jié)后我將讓學(xué)生做一些典型的練習(xí)，加深學(xué)生對本課知識的理解，同時為為下一課的學(xué)習(xí)做準備。
人教版高中英語必修1Journey Down the Mekong說課稿
2. let the Ss complete the forms paragraph by paragraph. Purpose here is to help Ss to get the habit of reading a passage as a whole, and pay attention to the organization of the text, as a result the Ss will fully understand the whole passage.3. ask Ss to retell the passage with the help of the key words in the form.Since the Ss in the class are in different levels, so I let them to fill in the blank to understand the meaning of the words and phrases better. ( That’s all for the while-reading. Now let’s move to the fifth step.)Step V: Post-reading (10mins) ---DiscussionIn this part students are asked to discuss in groups and list Wang Kun’s and Wang Wei’s attitudes about the trip. After that, Ss are encouraged to express their attitudes with the whole class. Collect their answers and don’t forget to praise them even if their answers may not be perfect.In this activity, discussion provides a vivid and active learning environment for Ss to communicate in English with newly learned language items. (Finally it comes to the homework.)StepⅥ: Homework (1min)1. Ss are required to read the text again after class and figure out the meaning of some complex sentences.2. Do the exercises on P19; This can help Ss to consolidate what they’ve learnt and make preparation for the next lessonPart4. Blackboard design.（說板書設(shè)計）On the top, there is the title of this lesson. On the left, there are main ideas for each paragraph. On the right, there are some new words and expressions.Unit 3 Travel journalJourney down the MekongMain idea of each para.:Para1: deciding to take a great bike trip along the Mekong river.Para2: Different attitudes between Wang kun and Wang wei.
人教版高中英語必修4Body Language說課稿4篇
Textbook: Senior English for China (Book 4), by Liu Daoyi Time Allotment: 1 period (40 minutes)Date: March 20, 2014Teaching aids: blackboard, Multi-media, Power Point, chalk I. Text Analysis （教材分析）This unit is about body language, and the text selected in the reading part demonstrates the difference and similarity of body language in many parts of the world. Through learning this passage, students are required to raise their awareness of using body language in different parts of the world. As body language is closely related to our daily life, it is easy to arouse students’ interest in learning this text. Reading skills and speaking training are designed around the text.II. Teaching Objectives （教學(xué)目標）By the end of the lesson, students will be able to:1. Language Skill Objective（語言技能目標）: develop reading ability （skimming and scanning）as well as speaking ability.2. Cultural Knowledge Objective（文化知識目標）: know about the cultural differences of using body language.3. Affective Objective（情感目標）: increase students’ awareness of using body language correctly in different cultures. III.Teaching Focuses and Difficulties（教學(xué)重點和難點）1. Teaching Focuses（教學(xué)重點）: the difference and similarity of body language in many parts of the world.2. Teaching Difficulties（教學(xué)難點）: develop students’ reading abilities of skimming and scanning and ask the students to show their opinions with fluent English.
人教版高中英語必修1English around the world說課稿
(3)v. 給：提出；展現(xiàn)，顯現(xiàn)present sb. with sth. ; present sth. to sb. 把. . 交給；頒發(fā)；授予present sth. (for sth. )/present sth. to sb. e. g. Om his birthday, his friends presented him a collection of stamps. 在他生日時，他的朋友們送給他一套郵票作為禮物。The sword was presented by the family to the museum. 這家人把寶劍捐贈給了博物館。The committee will present the final report to Parliament in June. 委員會將在六月向議會提交最后的報告。You need to present yourself better. 你需要更善于展現(xiàn)自己。It is essential that we present a united front. 至關(guān)重要的是我們要表現(xiàn)得更加團結(jié)。Step 4 ConsolidationT:Now that we have got a general idea of these words and phrases. Lets make up some sentences using them to master them. Suggested sentences:1. Your duties include typing letters and answering the telephone. 2. It is one of the greatest roles that she has played. 3. A large number of people have applied for the job. 4. The number of the panda is declining. 5. I'11 go there, even if I have to walk. 6. He came up to me to ask for a light. 7. The novel is about a family who can't communicate with each other. 8. He based his plan on interests of most people. 9. Why doesn't he make use of his singing talent?Step 5 Summary and homeworkT:Today we dealt with several new words and phrases. After class I hope that youcan read them again and again to keep them in mind. That's all for today. You aredismissed.
人教版高中英語必修1Nelson Mandela--A Modern Hero說課稿
In this step, give students a few minutes to read the passage . While they are reading, I will write some key words of the text on the blackboard. Then ask students to retell the passage according to the key words.By retelling, students can improve their ability of language organization and have an overall understanding of the article.Step 4 Group discussionIn this step, students will be divided into groups of 4 to discussion the following question: What qualities make a great person?After their discussion, invite a few groups to make a report to the class.This group discussion can practice students’ oral English and cultivate their abilities of cooperation and communication.Step 5. HomeworkLet students write a short passage to introduce a great person he or she admires.The homework can consolidate the knowledge the students have learned and cultivate their writing ability. Part 6 Blackboard Design（板書設(shè)計）That’s all my teaching procedures. Finally, I’d like to say sth about part 6 blackboard design. On the top is the title. On the left, there will be some new words and expressions. In the middle of the blackboard, I will write some useful sentence structures so that the students can know clearly what they’ve learned and then try to master the knowledge.OK. That’s all for my presentation. Thank you for your attention.
人教版高中英語必修2The Olympic Games說課稿2篇
Purpose of my design:To ask the students to do these two tasks will make the Ss predict the story of this passage. As a result, it will deepen Ss’ memory of this story because they will have their own understanding of this story.Step 3. While-readingTask 1. (Individual work _____min)Skimming: ask students to skim the text and the main ideas of each paragraph in this passage. Please read it quickly and then match the sentences with the letters.Task 2. (Individual work _____min)Scanning: read the text quickly and decide the whether the following statements are true or false and give reasons.Task 3. (Pair work _____min)Listen to the tape and fill in the banks. Then read the paragraph with expression to your partner.Task4 (individual work min)Listen to the tape again and write down the main idea in one sentence.Purpose of my design: Enable students to understand the given material better by using different reading skills. And proper competition can arouse the Ss’ interest in English learning. “Task-based” teaching method is used here todevelop the Ss’ ability of communication and also their ability of co-operation will be well trainedStep 4. Post-readingTask 1. (Individual work, pair work, group work, class work; _____min)Discussion (group of 4):1. If you were Hippomenes, would you run against Atlanta?2. Do you think Hippomenes deserved to win the race? Why or why not?Step 5. HomeworkPlease read the story again carefully after class and imagine: What will happen during the race between Hippomenes and Atlanta? Who do you think will win the race? Do you think Atlanta would marry Hippomenes? Write an end for the story with thses questions.Purpose of my design: Homework is so important and necessary for to master the knowledge they learned after class. It will check whether the Ss achieve the teaching aims.Part 5 Blackboard design
人教版高中英語必修5First aid說課稿6篇
In this class, I have 3 teaching aims, that is, knowledge aims, ability aims and emotion aims.1) Knowledge-Teach students new words and expressions, such as temporary, bleed,sprain choke, first aid, fall ill and so on.-Enable students to have a better understanding for some basic knowledge of first aid.2) Ability-Train students’ speaking, reading and writing abilities by different teaching activities, such as skimming, comprehending, team work, role play, retelling and writing.-Develop students’ reading strategy on how to move general idea to specific information.3) Emotion-Promote students’ awareness of giving first aid.- Cultivate students’ creativities.Then let’s come to my teaching methods and activities.III. Teaching methods and activities:To achieve different teaching aims, various kinds of teaching methods and activities will be adopted throughout this period, such as TBL (task-based learning), skimming, team work, brainstorm and others, which can offer students opportunities to fulfill tasks in which they can use language to achieve a specific outcome.IV. Teaching aids:Computer and blackboardV. Teaching important points:1) Make students have a clear mind for the structure of the text.2) Help students understand the theme of the text.VI. Teaching difficulties:1) So many new words may affect students’ understanding.2) How to get students to know about the functions of the skin and thecauses, characteristics and treatments for different degree burns,and the knowledge about giving first aid. VII. Blackboard design:
人教版高中政治必修4時代的精神的精華說課稿
（二）能力目標培養(yǎng)學(xué)生運用哲學(xué)理論觀察、分析、處理社會問題的能力，增強學(xué)生的時代感。（三）情感、態(tài)度與價值觀目標培養(yǎng)學(xué)生與時俱進的思想品質(zhì)，讓學(xué)生關(guān)注時代、關(guān)注現(xiàn)實、關(guān)注生活，逐步樹立科學(xué)的世界觀、人生觀、價值觀。三、說教學(xué)重難點：時代精神的總結(jié)和升華是本框的難點，雖然學(xué)生在文化生活中學(xué)習(xí)了文化與經(jīng)濟政治的關(guān)系，但要讓學(xué)生得出哲學(xué)是時代精神的總結(jié)和升華，還要聯(lián)系前面關(guān)于哲學(xué)的基礎(chǔ)知識進行總結(jié)歸納，因此可能會難以把握，另外關(guān)于什么樣的哲學(xué)是真正的哲學(xué)的理解會稍有難度。社會變革的先導(dǎo)是本框的重點，一方面哲學(xué)源于時代，另一方面強調(diào)哲學(xué)反過來對時代又有重要的反作用，突出這一點能夠更好地激發(fā)學(xué)生學(xué)習(xí)哲學(xué)的熱情和信心，對于后面知識的學(xué)習(xí)是極為有益的，因此社會變革的先導(dǎo)這一目作重點處理。
人教版高中數(shù)學(xué)選擇性必修二等差數(shù)列的前n項和公式（1）教學(xué)設(shè)計
高斯（Gauss，1777－1855），德國數(shù)學(xué)家，近代數(shù)學(xué)的奠基者之一. 他在天文學(xué)、大地測量學(xué)、磁學(xué)、光學(xué)等領(lǐng)域都做出過杰出貢獻. 問題1：為什么1＋100＝2＋99＝…＝50＋51呢？這是巧合嗎？試從數(shù)列角度給出解釋.高斯的算法：（1+100）+（2+99）+…+(50+51)= 101×50=5050高斯的算法實際上解決了求等差數(shù)列：1，2，3，…，n，"… " 前100項的和問題.等差數(shù)列中，下標和相等的兩項和相等.設(shè) an＝n，則 a1＝1，a2＝2，a3＝3，…如果數(shù)列{an} 是等差數(shù)列，p，q，s，t∈N*，且 p＋q＝s＋t，則 ap＋aq＝as＋at 可得：a_1+a_100=a_2+a_99=?=a_50+a_51問題2： 你能用上述方法計算1＋2＋3＋… ＋101嗎？問題3： 你能計算1＋2＋3＋… ＋n嗎？需要對項數(shù)的奇偶進行分類討論.當n為偶數(shù)時， S_n=(1+n)+[(2+(n-1)]+?+[(n/2+(n/2-1)]=(1+n)+(1+n)…+(1+n)=n/2 (1+n) =(n(1+n))/2當n為奇數(shù)數(shù)時， n－1為偶數(shù)
人教版高中數(shù)學(xué)選擇性必修二導(dǎo)數(shù)的四則運算法則教學(xué)設(shè)計
求函數(shù)的導(dǎo)數(shù)的策略(1)先區(qū)分函數(shù)的運算特點，即函數(shù)的和、差、積、商，再根據(jù)導(dǎo)數(shù)的運算法則求導(dǎo)數(shù)；(2)對于三個以上函數(shù)的積、商的導(dǎo)數(shù)，依次轉(zhuǎn)化為“兩個”函數(shù)的積、商的導(dǎo)數(shù)計算．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，所需進化費用不斷增加，已知將1t水進化到純凈度為x%所需費用（單位：元），為c(x)=5284/(100-x) (80<x<100)求進化到下列純凈度時，所需進化費用的瞬時變化率：（1） 90% ；（2） 98%解：凈化費用的瞬時變化率就是凈化費用函數(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
二、典例解析例4. 用 10 000元購買某個理財產(chǎn)品一年.（1）若以月利率0.400%的復(fù)利計息，12個月能獲得多少利息（精確到1元）？（2）若以季度復(fù)利計息，存4個季度，則當每季度利率為多少時，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 個月以后的本利和組成一個數(shù)列{a_n }，則{a_n }是等比數(shù)列，首項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 個季度以后的本利和組成一個數(shù)列{b_n }，則{b_n }也是一個等比數(shù)列，首項 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)選擇性必修二等比數(shù)列的前n項和公式 (1) 教學(xué)設(shè)計
新知探究國際象棋起源于古代印度.相傳國王要獎賞國際象棋的發(fā)明者，問他想要什么.發(fā)明者說：“請在棋盤的第1個格子里放上1顆麥粒，第2個格子里放上2顆麥粒，第3個格子里放上4顆麥粒，依次類推，每個格子里放的麥粒都是前一個格子里放的麥粒數(shù)的2倍，直到第64個格子.請給我足夠的麥粒以實現(xiàn)上述要求.”國王覺得這個要求不高，就欣然同意了.假定千粒麥粒的質(zhì)量為40克，據(jù)查，2016--2017年度世界年度小麥產(chǎn)量約為7.5億噸，根據(jù)以上數(shù)據(jù)，判斷國王是否能實現(xiàn)他的諾言.問題1：每個格子里放的麥粒數(shù)可以構(gòu)成一個數(shù)列,請判斷分析這個數(shù)列是否是等比數(shù)列?并寫出這個等比數(shù)列的通項公式.是等比數(shù)列,首項是1，公比是2，共64項. 通項公式為〖a_n=2〗^(n-1)問題2：請將發(fā)明者的要求表述成數(shù)學(xué)問題.
人教版高中數(shù)學(xué)選擇性必修二等差數(shù)列的概念（1）教學(xué)設(shè)計
我們知道數(shù)列是一種特殊的函數(shù)，在函數(shù)的研究中，我們在理解了函數(shù)的一般概念，了解了函數(shù)變化規(guī)律的研究內(nèi)容（如單調(diào)性，奇偶性等）后，通過研究基本初等函數(shù)不僅加深了對函數(shù)的理解，而且掌握了冪函數(shù)，指數(shù)函數(shù)，對數(shù)函數(shù)，三角函數(shù)等非常有用的函數(shù)模型。類似地，在了解了數(shù)列的一般概念后，我們要研究一些具有特殊變化規(guī)律的數(shù)列，建立它們的通項公式和前n項和公式，并應(yīng)用它們解決實際問題和數(shù)學(xué)問題，從中感受數(shù)學(xué)模型的現(xiàn)實意義與應(yīng)用，下面，我們從一類取值規(guī)律比較簡單的數(shù)列入手。新知探究1.北京天壇圜丘壇，的地面有十板布置，最中間是圓形的天心石，圍繞天心石的是9圈扇環(huán)形的石板，從內(nèi)到外各圈的示板數(shù)依次為9,18,27,36,45,54,63,72,81 ①2.S，M，L，XL，XXL，XXXL型號的女裝上對應(yīng)的尺碼分別是38,40,42,44,46,48 ②3.測量某地垂直地面方向上海拔500米以下的大氣溫度，得到從距離地面20米起每升高100米處的大氣溫度（單位℃）依次為25,24,23,22,21 ③
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
二、典例解析例3.某公司購置了一臺價值為220萬元的設(shè)備，隨著設(shè)備在使用過程中老化，其價值會逐年減少.經(jīng)驗表明，每經(jīng)過一年其價值會減少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 ，它的價值將低于購進價值的5%，設(shè)備將報廢.請確定d的范圍.分析：該設(shè)備使用n年后的價值構(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)備的價值不小于（220×5%=）11萬元；10年后，該設(shè)備的價值需小于11萬元．利用{an}的通項公式列不等式求解．解：設(shè)使用n年后，這臺設(shè)備的價值為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}是一個公差為－d的等差數(shù)列.因為a1＝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項和公式 (2) 教學(xué)設(shè)計
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E,F,G,H, 作第2個正方形 EFGH，然后再取正方形EFGH各邊的中點I,J,K,L，作第3個正方形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個正方形的面積之和；(2) 如果這個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個正方形的頂點分別是第k個正方形各邊的中點，所以a_(k+1)=〖1/2 a〗_k,因此{a_n}，是以25為首項，1/2為公比的等比數(shù)列.設(shè){a_n}的前項和為S_n（1）S_10=(25×[1-(1/2)^10 ] )/("1 " -1/2)=50×[1-(1/2)^10 ]=25575/512所以，前10個正方形的面積之和為25575/512cm^2.(2)當無限增大時，無限趨近于所有正方形的面積和
人教版高中數(shù)學(xué)選擇性必修二等比數(shù)列的概念 (1) 教學(xué)設(shè)計
新知探究我們知道，等差數(shù)列的特征是“從第2項起，每一項與它的前一項的差都等于同一個常數(shù)” 。類比等差數(shù)列的研究思路和方法，從運算的角度出發(fā)，你覺得還有怎樣的數(shù)列是值得研究的？1.兩河流域發(fā)掘的古巴比倫時期的泥版上記錄了下面的數(shù)列:9,9^2,9^3,…,9^10; ①100,100^2,100^3,…,100^10; ②5,5^2,5^3,…,5^10. ③2.《莊子·天下》中提到：“一尺之錘，日取其半，萬世不竭.”如果把“一尺之錘”的長度看成單位“1”，那么從第1天開始，每天得到的“錘”的長度依次是1/2,1/4,1/8,1/16,1/32,… ④3.在營養(yǎng)和生存空間沒有限制的情況下，某種細菌每20 min 就通過分裂繁殖一代，那么一個這種細菌從第1次分裂開始，各次分裂產(chǎn)生的后代個數(shù)依次是2,4,8,16,32,64,… ⑤4.某人存入銀行a元，存期為5年，年利率為 r ，那么按照復(fù)利，他5年內(nèi)每年末得到的本利和分別是a(1+r),a〖(1+r)〗^2,a〖(1+r)〗^3,a〖(1+r)〗^4,a〖(1+r)〗^5 ⑥
人教版高中數(shù)學(xué)選擇性必修二導(dǎo)數(shù)的概念及其幾何意義教學(xué)設(shè)計
新知探究前面我們研究了兩類變化率問題：一類是物理學(xué)中的問題，涉及平均速度和瞬時速度；另一類是幾何學(xué)中的問題，涉及割線斜率和切線斜率。這兩類問題來自不同的學(xué)科領(lǐng)域，但在解決問題時，都采用了由“平均變化率”逼近“瞬時變化率”的思想方法；問題的答案也是一樣的表示形式。下面我們用上述思想方法研究更一般的問題。探究1： 對于函數(shù)y=f(x) ，設(shè)自變量x從x_0變化到x_0+ ?x ，相應(yīng)地，函數(shù)值y就從f(x_0)變化到f(〖x+x〗_0) 。這時， x的變化量為?x，y的變化量為?y=f(x_0+?x)-f(x_0)我們把比值?y/?x，即?y/?x=(f(x_0+?x)-f(x_0)" " )/?x叫做函數(shù)從x_0到x_0+?x的平均變化率。1．導(dǎo)數(shù)的概念如果當Δx→0時，平均變化率ΔyΔx無限趨近于一個確定的值，即ΔyΔx有極限，則稱y＝f (x)在x＝x0處____，并把這個________叫做y＝f (x)在x＝x0處的導(dǎo)數(shù)(也稱為__________)，記作f ′(x0)或________，即