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新人教版高中英語必修3Unit 5 The Value of Money-Reading for Writing教學(xué)設(shè)計(jì)二
2. 您能看到, 我頭發(fā)太長了。You can see that my hair is much too long.3. 無論什么時(shí)候, 只要您想回來就回來。Please come back whenever you want.4. 您僅有很少的頭發(fā)要理! You only have too little hair to cut !5. 為您服務(wù)是我的榮幸！It is my honour to serve you!Step 9 Writing(Henry is walking down the street when he sees a sign for a place that cuts hair. He decides to have it cut. )H=Henry B=BarberH: Good afternoon, I’d like to have my hair cut, if I may. (The barber looks at Henry’s hair and continues cutting another man’s hair. ) Er, I’d really like a haircut. As you can see it’s much too long. B: (in a rude manner) Yes, I can see that. Indeed, I can. H: Fine, well, I’ll have a seat then. (He sits in one of the barber’s chairs. The barber turns to look at Henry. )B: It’s quite expensive here, you know! Are you sure you can afford it?H: Yes. I think so. (After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B: Why Mr. . . (looks shocked)H: Adams. Henry Adams. I’m sorry. I don’t have any change. B: Please don’t worry! (wearing a big smile) Nothing to worry about! Nothing at all! Please come back whenever you want, even if you only have too little hair to cut! It will be my honour to serve you!Step 10 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Are all the elements of a play included and in good order ?2. Do the character use suitable language ?3. Are the stage directions clear and useful ?4. Is the plot clear and exciting enough ?
新人教版高中英語必修3Unit 1 Festivals and Celebrations-Reading and Thinking教學(xué)設(shè)計(jì)
The topic of this part is “Discover the reasons for festivals and celebrations.The Listening & Speaking & Talking part aims at talking about the experiences and feelings or emotions about the festivals and celebrations. This section aims at detecting the reason why the people celebrate the festivals, the time, the places, the types and the way of celebrations. It also explains why some traditions in the old celebrations are disappearing, like the firecrackers in the big cities and some new things are appearing like the prosperity of business or commerce. 1. Students can talk about what festivals they know and the reasons and the way of celebrating them.2. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.3. Students can understand the past, the present situation of some festival around the world and why there are some changes about them. 4. Students can have the international awareness about the festivals.1. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.2. Students can understand the past, the present situation of some festival around the world and why there are some changes about them.Step 1 Lead in---Small talkWhat festival do you like best ? Why ?I like the Spring Festivals because I can set off the fireworks, receive the lucky money and enjoy the Gala with my families.Step 2 Before reading---Pair workWhy do people celebrate different festivals ?The Spring Festivals is to celebrate the end of winter and the coming of spring and new life.The Mid-autumn Day is to celebrate the harvest and admire the moon.
人教版高中地理選修3第五章第一節(jié)設(shè)計(jì)旅游活動(dòng)教案
點(diǎn)撥：旅游地旅游資源的特色不同，可以安排的旅游活動(dòng)是不一樣的，直接影響對(duì)旅游者的吸引力。因此，出游前首先就需要收集旅游地旅游資源的類型、主要游覽景區(qū)、景點(diǎn)的特色等情況。旅游地的時(shí)空可達(dá)性直接關(guān)系到旅游者從出發(fā)地到旅游地，然后再返回出發(fā)地的費(fèi)用和時(shí)間。一般來說，居住地與旅游地之間的空間距離過大，會(huì)使旅行的時(shí)間過長、旅行費(fèi)用過高，經(jīng)濟(jì)距離增加，相應(yīng)地降低了旅游者的出游能力。而居住地與旅游地相距遙遠(yuǎn)，也意味著兩地之間巨大的環(huán)境差異，這會(huì)增加對(duì)游客的吸引力。旅游服務(wù)設(shè)施和條件，如旅游交通方式及工具、旅游住宿條件、旅游餐飲的種類和標(biāo)準(zhǔn)、導(dǎo)游服務(wù)、旅行費(fèi)用等信息也都在一定程度上影響著游客的選擇。圖5．3西藏布達(dá)拉宮和圖5．4云南香格里拉兩幅圖片顯示了西藏布達(dá)拉宮、云南香格里拉與眾不同的優(yōu)美景觀，吸引了眾多的游客前來觀光旅游，成為近年來國內(nèi)旅游的熱點(diǎn)。
新人教版高中英語選修1Unit 1 People of Achievement教案
【設(shè)計(jì)意圖】 基于上述分析，學(xué)生總結(jié)新聞故事語篇類型的特征，即標(biāo)題的省略性、導(dǎo)語的概括性、數(shù)據(jù)的支撐性和引語的重要性。在此過程中，學(xué)生對(duì)新聞故事語篇類型有了更深層次的了解，對(duì)于學(xué)生閱讀和寫作具有重要意義。Activity 7: Discussing to make a writing outline.本活動(dòng)為實(shí)現(xiàn)課時(shí)目標(biāo)3。1.Discuss and make an outline.Ask students to discuss in groups of four and make their own writing outline.To celebrate the 70th anniversary of the People’s Republic of China, our school newspaper starts a new column about “People of Achievement”. You plan to write a news story about one of the winners of the Medal of the Republic in 2019, including Yu Min, Shen Jilan, Sun Jiadong, Li Yannian, Zhang Fuqing, Yuan Longping, Huang Xuhua and Tu Youyou.【設(shè)計(jì)意圖】 教師創(chuàng)設(shè)情境，即為慶祝新中國成立70周年，校報(bào)新增有關(guān)卓有成就人物的欄目，你將從共和國勛章獲得者中，選擇一位寫一篇新聞故事，向該欄目投稿。學(xué)生以小組合作形式，展開討論，并寫出新聞故事框架，有助于學(xué)生課后收集人物信息，撰寫新聞故事。
新人教版高中英語選修1Unit 5 Working the Land教案
1. 完成文本主要信息填空（斜體字部分設(shè)空）：As a witness to farmers’ poor harvests and even a severe shortage of food, Yuan Longping was determined to devote his life to tackling this crisis. After graduation, he realized that what farmers needed most was to boost yields in the fields. Yuan was convinced that the answer lay in the creation of hybrid rice, one characteristic of which is that it usually achieve higher output than conventional crops. However, it was no easy job. The first difficulty he needed to overcome was scientists’ general assumption that this could not be done. Through trial and error, Yuan managed to generate this incredible crop. It is estimated that about 60 percent of domestic rice consumption in China was comprised of crops generated from Yuan’s hybrid strains. His innovation has enabled Chinese farmers to considerably expand their output and helped feed the world. Unwilling to retire early to a life of leisure and unconcerned about celebrity or fortune, Yuan continues to turn one vision after another into realities.2. 模仿寫作：Do some research via the Internet and introduce another agricultural scientist, Chen Risheng（陳日勝）, using the structure, expressions and writing techniques you have learnt from the text “A Pioneer for All People”.【設(shè)計(jì)意圖】任務(wù)1是對(duì)文本內(nèi)容和詞匯學(xué)習(xí)成效的檢測(cè)。任務(wù)2借助文本中學(xué)到的詞匯和寫作手法仿寫另一位科學(xué)家，提升學(xué)生遷移運(yùn)用詞匯、文體結(jié)構(gòu)和寫作方法的能力。
新人教版高中英語選修3Unit 4 Adversity And Courage教案
本活動(dòng)旨在落實(shí)課時(shí)目標(biāo)3。 The Student Union is looking for three students for a 3-week voluntary program in Guizhou province. The volunteers have got to be high school students, with a persevering personality and experiences in overcoming adversity. The volunteers need to stay, eat and teach with 20 pupils in a small school up on the hill of a village. There are no facilities but desks and a blackboard in the school. And there is no take-away food to be bought anywhere; the only way to feed yourself is to cook. You’re interested in applying. Write your application letter introducing what adversity you have ever overcome and how persevering you are as well as what you want to do when at work. Dear Student Union,【設(shè)計(jì)意圖】此任務(wù)旨在遷移一、二課時(shí)所學(xué)，解決實(shí)際問題。學(xué)生對(duì)比自己經(jīng)歷過的挑戰(zhàn)或挫折，寫信給學(xué)生會(huì)申請(qǐng)前往貴州擔(dān)任短期支教教師，把個(gè)人以前是怎么戰(zhàn)勝挫折的經(jīng)過書寫出來。結(jié)合所學(xué)，遷移創(chuàng)新，分析解決自身實(shí)際問題，在真實(shí)情境中學(xué)生通過仿寫進(jìn)行主題語言的精確輸出。完成任務(wù)的過程中，能較多地使用已學(xué)語言、內(nèi)容、結(jié)構(gòu)和寫作手法來描述自己面對(duì)挫折的處理方式、態(tài)度和應(yīng)有的品質(zhì)，近一步激發(fā)學(xué)生樹立正確的價(jià)值觀，學(xué)會(huì)逆境出人才，堅(jiān)忍不拔，從容不迫，又做到謙讓、分享和合作。課后學(xué)生修正習(xí)作，再次提交。
新人教版高中英語選修4Unit 4 Sharing教案
【核心素養(yǎng)提升點(diǎn)】學(xué)會(huì)將抽象信息進(jìn)行可視化表達(dá)，提高信息處理能力和分析、推理等高階思維品質(zhì)；在跨文化交際中學(xué)會(huì)以國際視野接受和包容不同的文化。 5.Read Paragraph 2, draw a mind map and answer the questions. Q1:What did Jo learn about Tombe’s life? Q2:What kind of life do the natives lead? Read paragraph 2-5 and draw a mind-map. (Focus on accommodation, possession, diet and belief) 【設(shè)計(jì)意圖】引導(dǎo)學(xué)生利用思維導(dǎo)圖和問題鏈等形式來厘清當(dāng)?shù)厝说纳罘绞?，更好地處理和歸納信息 【核心素養(yǎng)提升點(diǎn)】提高信息處理能力、分析和歸納能力，包容異國文化、擴(kuò)展國際視野。 6.Read Paragraph 3 and answer the questions. Q1:What was Jo’s feeling upon arriving her own home? Q2:Why would she feel that way? Q3:Do you think “It was such a privilege to have spent a day with Tombe’s family”? 【設(shè)計(jì)意圖】通過提問，讓學(xué)生理解Jo的苦并快樂的心情，并通過對(duì)“It was such a privilege to have spent a day with Tombe’s family”這句話的理解，體驗(yàn)志愿者生活的偉大。 【核心素養(yǎng)提升點(diǎn)】學(xué)會(huì)對(duì)信息的綜合和歸納，從而理解作者所表達(dá)的觀點(diǎn)。 Activity4: Summarize the change of Jo's feelings
新人教版高中英語選修1Unit 3 Fascinating Parks教案
2. Explore the significance of the establishment of Sarek National Park.Q1: Which event is the most important one in the park’s history?Ss: The establishment of Sarek national park in 1909 is the most important one.Q2: Is it worth making a place like Sarek a national park? Give your reasons.Ss: Yes. In this way, the place can be kept in its natural state and natural beauties and other rare and valuable resources can be preserved instead of being destroyed by endless exploitation driven by profits.Q3: How does the writer organize his introduction to the history of Sarek?Ss: The writer organizes his introduction in the sequence of time, using time indicators such as “used to”, “around 9,000 years ago”, “soon after”, “following the reindeer”, and “in 1909”.Q4: What is the feature of the language used to introduce the history of the park?Ss: The introduction to the park is to provide facts, using time indicators to organize the events. Sentences starts with “third person” and passive voice is used more often, feeling objective.【設(shè)計(jì)意圖】學(xué)生尋找和梳理公園歷史上的重要事件，體會(huì)人與自然的和諧關(guān)系，評(píng)鑒介紹性語言的特點(diǎn)?！竞诵乃仞B(yǎng)提升點(diǎn)】發(fā)展自主提取、梳理文本信息能力，訓(xùn)練邏輯思維和高階思維。Activity 3: Highlighting the secret of the text
新人教版高中英語選修1Unit 4 Body Language教案
本閱讀材料的話題是交際中的肢體語言，作者從三個(gè)方面講述了肢體語言的特征與作用，通過主題句和舉例闡述的方式讓讀者了解不同文化中肢體語言的相同或者不同的意義，并從更抽象、概括的維度深入認(rèn)識(shí)肢體語言的特點(diǎn)，理解肢體語言的作用。基于肢體語言的特點(diǎn)，作者提醒讀者在與人交流中，尤其是當(dāng)文化背景有差異的時(shí)候，要使用得體的肢體語言，尊重、理解和包容不同的文化，進(jìn)行有效、有素養(yǎng)的溝通。文本共由六個(gè)段落組成，篇章結(jié)構(gòu)為“總—分”。第一段用簡練的語言引出了話題，并且從我們自身表達(dá)的需要和了解他人感受兩個(gè)角度講述了肢體語言的作用。第二段闡述了肢體語言的第一個(gè)重要特點(diǎn)——肢體語言在不同的文化中有不同的內(nèi)涵——這也是文中寫作篇幅最大的一個(gè)要點(diǎn)，最為重要。通過講述肢體語言的這一特點(diǎn)，作者向讀者傳遞了要尊重不同的文化、要使用與所在文化相宜的肢體語言。
新人教版高中英語選修4Unit 1 Science Fiction教案
本活動(dòng)旨在落實(shí)課時(shí)教學(xué)目標(biāo)2。 1.Think, discuss and share. Students form groups of 4, discuss about the given ending make comments. Q1: Do you like the ending? Q2: Was it a logical ending? Why so or why not? [設(shè)計(jì)意圖]通過引導(dǎo)學(xué)生思考、討論、評(píng)價(jià)，比較個(gè)人、同伴所預(yù)測(cè)的結(jié)局和聽力文本所給定的結(jié)局的異同點(diǎn)，深化對(duì)文本的認(rèn)知，發(fā)展學(xué)生的評(píng)判性思維能力。 Activity 4: Exploring Asimov’s three laws of robotics and the purpose of the writing 本活動(dòng)旨在落實(shí)課時(shí)教學(xué)目標(biāo)3。 1. Get to know Isaac Asimov’s three laws of robotics. The teacher shares Isaac Asimov’s three laws of robotics. The three laws state that: ①A robot may not injure a human being or, through inaction, allow a human being to come to harm. ②A robot must obey any orders given to it by human beings, except where such orders would conflict with the First Law. ③A robot must protect its own existence as long as such protection does not conflict with the First or Second Law. Q: How does Tony’s story relate to the laws? 2. Figure out Isaac Asimov’s purpose of writing Satisfaction Guaranteed. The students express their opinions about the author’s writing purpose. Q: Why did Isaac Asimov write such a story? S: To explore the relationship between robots and humans. [設(shè)計(jì)意圖]通過了解艾薩克·阿西莫夫所制定的機(jī)器人三大定律，加深學(xué)生對(duì)文本的理解，深入探究文本的主題意義。推理作者的寫作目的，聯(lián)系生活實(shí)際，思考人類與機(jī)器人的關(guān)系。
新人教版高中英語選修3Unit 5 Poems教案
本單元閱讀文本介紹了幾種簡單的英語詩歌形式，旨在讓學(xué)生能理解和欣賞英語詩歌的美，包括形式美、內(nèi)容美、意義美，培養(yǎng)審美情趣，并從作品的意義美中獲得積極的人生態(tài)度和價(jià)值觀念啟示。 該文本是一則典型的說明性文本，用簡單易懂的語言向英語詩歌的初學(xué)者們介紹了五種比較簡單的英語詩歌形式。文題“A Few Simple Forms of English Poems”是整個(gè)文本的核心話題。正文內(nèi)容共七段，按“總—分—總”建構(gòu)。第一段為總起段，概述了英語詩歌的創(chuàng)作原因以及主要特點(diǎn)，涉及了形式、內(nèi)容、意義等方面賞析英語詩歌的幾個(gè)主要維度；第二段至第六段分別介紹了童謠、清單詩、五行詩、俳句和唐詩五種英語詩歌形式；第七段收尾，鼓勵(lì)讀者嘗試英語詩歌創(chuàng)作。 在進(jìn)行文本教學(xué)設(shè)計(jì)時(shí)，要引導(dǎo)學(xué)生梳理關(guān)于與詩歌要素和詩歌賞析有關(guān)的話題類語言，既包括format、rhythm、subject、image等名詞，也包括have a strong rhythm、be made up of、contain、consist of、convey這樣的動(dòng)詞和動(dòng)詞短語。
新人教版高中英語選修4Unit 3 Reaching Out Across the Sea教案
本活動(dòng)旨在落實(shí)課時(shí)目標(biāo)3。 Think about the following questions and talk about your own attitude in pairs.Q1: As for this topic，what impresses you the most in the passage?Q2: What do you think of the future of China’s further exploration in sea? Are you in favor of the further exploration？Why or why not? 【設(shè)計(jì)意圖】該活動(dòng)是一個(gè)完全開放性的活動(dòng)，每個(gè)學(xué)生都會(huì)有不同的答案。運(yùn)用遷移所學(xué)，自由口頭表達(dá)自己對(duì)海洋探索的態(tài)度。對(duì)于中國海洋探索的未來，每個(gè)人的想法是不一樣的，有樂觀，有擔(dān)憂，有認(rèn)為值得投入，也有認(rèn)為不值得付出太大代價(jià)，這里給學(xué)生自由表達(dá)的空間只要學(xué)會(huì)有支撐自己觀點(diǎn)的事實(shí)就可以了，進(jìn)一步培養(yǎng)學(xué)生批判性思維和正確的價(jià)值觀。 Assignment: 此任務(wù)旨在遷移一、二課時(shí)所學(xué)，培養(yǎng)學(xué)生辯證分析問題的能力。 Write about your idea of the future of China’s sea exploration. And add your attitude towards the effort China have made in sea exploration. You’re expected to use the language and the writing technique learnt in the passage.
新人教版高中英語選修4Unit 5 Language Your Career教案
本單元閱讀文本向中學(xué)生推薦職業(yè)能力測(cè)試(Career Aptitude Test)，旨在建議學(xué)生利用職業(yè)傾向測(cè)試來發(fā)現(xiàn)自己更感興趣、更有潛力的學(xué)習(xí)或職業(yè)方向，并規(guī)劃自己的未來職業(yè)。 本文采用了建議性文本，全篇從職業(yè)生涯的重要意義講起，針對(duì)中學(xué)生對(duì)職業(yè)規(guī)劃比較迷茫的現(xiàn)狀，提出了職業(yè)傾向測(cè)試這一建議。全文共七段，其中第一段和第二段為第一部分，其余五段為第二部分。第一部分論述職業(yè)的重要性和職業(yè)生涯規(guī)劃的最佳時(shí)間是在校期間，第二部分提出解決職業(yè)選擇困惑可以通過完成職業(yè)能力測(cè)試，介紹了不同種類的職業(yè)傾向測(cè)試，結(jié)合圖表詳細(xì)說明其中一種操作步驟，并提醒職業(yè)建議也基于學(xué)歷和經(jīng)驗(yàn)，最后一段概括論述，建議學(xué)生通過職業(yè)能力測(cè)試這一有效的工具，找到自己真正熱愛的事物。 在文本教學(xué)設(shè)計(jì)時(shí)，要幫助學(xué)生梳理有關(guān)職業(yè)的話題語言。閱讀策略層面，指導(dǎo)學(xué)生通過學(xué)習(xí)圖表和圖形，在有限的空間內(nèi)獲取廣泛信息，如閱讀圖表標(biāo)題，圖表上的標(biāo)簽，X軸Y軸上的數(shù)據(jù)所指。
新人教版高中英語選修3Unit 1 Art教案
[2] An important breakthrough…was… [3] Another innovation was … [4] the emphasis increasingly shifted from…to… [5] New ideas and values gradually replaced… [6] While his paintings still had religious themes… … T: All these expressions serve to show how Western painting has developed. Some of them share similar structure but with varied use of words, which makes the text vivid and more readable. 【設(shè)計(jì)意圖】主題類語言整理有助于學(xué)生類化語言應(yīng)用，提高語言輸出的豐富性。處理完文本內(nèi)容信息后，進(jìn)入語篇信息處理，進(jìn)行主題相關(guān)的詞塊歸類。引導(dǎo)學(xué)生快速閱讀，尋找表達(dá)相同主題(發(fā)展或者藝術(shù))的詞和短語，再根據(jù)詞性、用法和結(jié)構(gòu)進(jìn)行歸類，儲(chǔ)備主題相關(guān)詞匯，豐富語言儲(chǔ)備，提升語言素養(yǎng)。 Assignment: Go online to gather more information about Chinese painting and write a short history of it. 【設(shè)計(jì)意圖】結(jié)合所學(xué)，遷移運(yùn)用，根據(jù)實(shí)際語境，進(jìn)行模仿性運(yùn)用。在此過程中，學(xué)生嘗試借鑒已學(xué)的語言、內(nèi)容、語篇結(jié)構(gòu)和寫作手法來建構(gòu)新文本，實(shí)現(xiàn)語篇輸出，同時(shí)關(guān)注中西藝術(shù)文化的差別，加深對(duì)優(yōu)秀文化的認(rèn)同，培養(yǎng)文化意識(shí)。
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(tái)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(huì)逐年減少.經(jīng)驗(yàn)表明，每經(jīng)過一年其價(jià)值會(huì)減少d(d為正常數(shù)）萬元.已知這臺(tái)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(qǐng)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(tái)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(cè)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。
人教A版高中數(shù)學(xué)必修一冪函數(shù)教學(xué)設(shè)計(jì)（2）
冪函數(shù)是在繼一次函數(shù)、反比例函數(shù)、二次函數(shù)之后，又學(xué)習(xí)了單調(diào)性、最值、奇偶性的基礎(chǔ)上，借助實(shí)例，總結(jié)出冪函數(shù)的概念，再借助圖像研究冪函數(shù)的性質(zhì).課程目標(biāo)1、理解冪函數(shù)的概念，會(huì)畫冪函數(shù)y=x，y=x2，y=x3，y=x－1，y=x 的圖象；2、結(jié)合這幾個(gè)冪函數(shù)的圖象，理解冪函數(shù)圖象的變化情況和性質(zhì)；3、通過觀察、總結(jié)冪函數(shù)的性質(zhì)，培養(yǎng)學(xué)生概括抽象和識(shí)圖能力．?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：用數(shù)學(xué)語言表示函數(shù)冪函數(shù)；2.邏輯推理：常見冪函數(shù)的性質(zhì)；3.數(shù)學(xué)運(yùn)算：利用冪函數(shù)的概念求參數(shù)；4.數(shù)據(jù)分析：比較冪函數(shù)大??；5.數(shù)學(xué)建模：在具體問題情境中，運(yùn)用數(shù)形結(jié)合思想，利用冪函數(shù)性質(zhì)、圖像特點(diǎn)解決實(shí)際問題。重點(diǎn)：常見冪函數(shù)的概念、圖象和性質(zhì)；難點(diǎn)：冪函數(shù)的單調(diào)性及比較兩個(gè)冪值的大?。?/p>
人教A版高中數(shù)學(xué)必修一對(duì)數(shù)的運(yùn)算教學(xué)設(shè)計(jì)（2）
學(xué)生已經(jīng)學(xué)習(xí)了指數(shù)運(yùn)算性質(zhì)，有了這些知識(shí)作儲(chǔ)備，教科書通過利用指數(shù)運(yùn)算性質(zhì)，推導(dǎo)對(duì)數(shù)的運(yùn)算性質(zhì)，再學(xué)習(xí)利用對(duì)數(shù)的運(yùn)算性質(zhì)化簡求值。課程目標(biāo)1、通過具體實(shí)例引入，推導(dǎo)對(duì)數(shù)的運(yùn)算性質(zhì)；2、熟練掌握對(duì)數(shù)的運(yùn)算性質(zhì)，學(xué)會(huì)化簡，計(jì)算.數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：對(duì)數(shù)的運(yùn)算性質(zhì)；2.邏輯推理：換底公式的推導(dǎo)；3.數(shù)學(xué)運(yùn)算：對(duì)數(shù)運(yùn)算性質(zhì)的應(yīng)用；4.數(shù)學(xué)建模：在熟悉的實(shí)際情景中，模仿學(xué)過的數(shù)學(xué)建模過程解決問題.重點(diǎn)：對(duì)數(shù)的運(yùn)算性質(zhì)，換底公式，對(duì)數(shù)恒等式及其應(yīng)用；難點(diǎn)：正確使用對(duì)數(shù)的運(yùn)算性質(zhì)和換底公式．教學(xué)方法：以學(xué)生為主體，采用誘思探究式教學(xué)，精講多練。教學(xué)工具：多媒體。一、 情景導(dǎo)入回顧指數(shù)性質(zhì)：(1)aras＝ar＋s(a＞0，r，s∈Q)．(2)(ar)s＝ (a＞0，r，s∈Q)．(3)(ab)r＝ (a＞0，b＞0，r∈Q)．那么對(duì)數(shù)有哪些性質(zhì)？如 要求：讓學(xué)生自由發(fā)言，教師不做判斷。而是引導(dǎo)學(xué)生進(jìn)一步觀察.研探.