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人教版高中地理必修2煤城焦作出路何在說課稿
分析過焦作市的地理概況和產(chǎn)業(yè)優(yōu)勢(shì)后，就需要針對(duì)由于資源枯竭所帶來的問題提出合理化的建議。既然是談經(jīng)濟(jì)轉(zhuǎn)型，就應(yīng)該將話題的范圍明確在這一領(lǐng)域內(nèi)。通過材料3的相關(guān)內(nèi)容，我們了解到焦作市需要在產(chǎn)業(yè)結(jié)構(gòu)調(diào)整、培育新的優(yōu)勢(shì)產(chǎn)業(yè)、增強(qiáng)綜合競(jìng)爭(zhēng)力等三個(gè)整改方針上下功夫。因而引導(dǎo)學(xué)生針對(duì)優(yōu)勢(shì)與不足提出建議，以三個(gè)整改方針為基準(zhǔn)，衡量建議的可行性是鍛煉學(xué)生解決此類問題的有效途徑。在此我將教會(huì)學(xué)生的是解決問題方法而非案例的內(nèi)容，正所謂“授之以魚，不如授之以漁”。接下來針對(duì)學(xué)生的建議和教材資料分析所羅列的10點(diǎn)整改思路，由學(xué)生自由發(fā)言提出看法，通過教師的指導(dǎo)和學(xué)生的討論，進(jìn)而確定經(jīng)濟(jì)轉(zhuǎn)型建議的具體方案。最后注意將建議與產(chǎn)業(yè)優(yōu)勢(shì)相對(duì)照，看建議是否都是圍繞著產(chǎn)業(yè)優(yōu)勢(shì)而提出的，這樣做會(huì)加深學(xué)生的印象，通過建議和優(yōu)勢(shì)的對(duì)應(yīng)關(guān)系，將不難找出此類問題的解題思路。
人教版新課標(biāo)高中物理必修2功說課稿2篇
探究一：高中階段功的含義是什么？投影：初中九年級(jí)《物理》105頁(yè)學(xué)生思考：①圖中物體的勢(shì)能、動(dòng)能分別如何變化？②物體能量的變化和做功是否存在關(guān)系？學(xué)生:分組討論，得出結(jié)論：如果物體的能量發(fā)生變化時(shí)，說明有力對(duì)物體做了功。教師:進(jìn)行點(diǎn)評(píng)和小結(jié)(設(shè)計(jì)意圖：對(duì)初中知識(shí)深化理論認(rèn)識(shí)，并為以后功能關(guān)系的教學(xué)作準(zhǔn)備)探究二：力對(duì)物體做功的兩個(gè)要素是什么？情景再現(xiàn)：找體重相對(duì)懸殊的兩位同學(xué)，①A同學(xué)試圖抱起B(yǎng)同學(xué)，但沒成功。②B同學(xué)抱起A同學(xué)在教室內(nèi)勻速走動(dòng)。學(xué)生思考：在①中，A是否對(duì)B做功？在②中，B是否對(duì)A做功？學(xué)生:分析得出做功的兩要素：物體受到力的作用，并且在力的方向上發(fā)生位移.教師:讓學(xué)生分別例舉生活中力對(duì)物體做功和不做功的例子，（設(shè)計(jì)意圖：讓學(xué)生親身參與課堂實(shí)驗(yàn)，烘托課堂氣氛，相互協(xié)作增進(jìn)同學(xué)情誼）探究三：如果物體的位移不再力的方向上，那么力是否還對(duì)物體做功？
人教版新課標(biāo)高中物理必修2向心力說課稿3篇
通過這個(gè)示例呢，我們可以得到解決向心力問題的一般的步驟，確定對(duì)象，找出軌跡，找出圓心，然后進(jìn)行受力分析，讓同學(xué)們參考這樣的步驟，逐步的解決圓周運(yùn)動(dòng)的問題，對(duì)于變速圓周運(yùn)動(dòng)，我通過鏈球運(yùn)動(dòng)進(jìn)行引入，這里是一個(gè)鏈球運(yùn)動(dòng)的視頻，在同學(xué)們觀看視頻之前，我給同學(xué)們提出問題，鏈球收到繩子的拉力，做的是勻速圓周運(yùn)動(dòng)嗎？ 然后再課堂上我們?cè)僮鲆粋€(gè)小實(shí)驗(yàn)， 我們可以通過改變拉線的方式來調(diào)節(jié)小球的速度大小嗎？ 那么對(duì)小球，做加速圓周運(yùn)動(dòng)，進(jìn)行受力分析，我們可以看到，小球做加速運(yùn)動(dòng)時(shí)，他所受到的力，并不是嚴(yán)格通過軌跡的圓心，在進(jìn)行分析的時(shí)候，特別強(qiáng)調(diào)，小桶所受力的切線方向分力，和法線方向分力，切線方向分力，改變小球運(yùn)動(dòng)速度大小，法線方向分力，改變了小球運(yùn)動(dòng)的方向，法線方向的分力，在這里就是向心力，產(chǎn)生了向心加速度，通過這樣一個(gè)例子進(jìn)行分析，同學(xué)們是比較容易理解的，
人教版高中語(yǔ)文必修2《赤壁賦》說課稿3篇
[教學(xué)反思]人教版高中語(yǔ)文必修二第三單元安排了《蘭亭集序》《赤壁賦》《游褒禪山記》三篇古代山水游記散文，它們借游賞之事，探索生命的意義、治學(xué)的道理。師者，所以傳道、授業(yè)、解惑也。高中的教材選用的都是歷史經(jīng)典名篇，每一篇都閃爍著儒道釋等百家光輝的思想。編者要老師傳道的意圖很明顯。即非如此，看著這些影響歷代、影響世界的如日月之耀眼光華的偉大思想就躺在我們的教科書里，又如何能不講呢？所以，我將本課的教學(xué)重難點(diǎn)擬定為：幫助學(xué)生建立積極的生死觀，掌握多角度看問題的正確的思想方法。當(dāng)然，也讓學(xué)生領(lǐng)會(huì)了融寫景、抒情、說理于一爐的大家手法。整堂課各教學(xué)環(huán)節(jié)，環(huán)環(huán)相扣，過渡自然，讀、思、議、寫訓(xùn)練到位，而且全部圍繞“生死觀”展開，如一篇形散神不散的散文。
人教版高中歷史必修3宋明理學(xué)說課稿3篇
陸王心學(xué)與程朱理學(xué)相比有何異同？生 不同點(diǎn)：在理的內(nèi)涵上不同，程朱理學(xué)認(rèn)為“理”是貫通于宇宙、人倫的客觀存在，是一種普遍的規(guī)律準(zhǔn)則；陸王心學(xué)認(rèn)為心即理，是“良知”，認(rèn)為人心便是世界萬物的本原。方法上也有不同：前者向外追究，“格物致知”；后者向內(nèi)探求，“發(fā)明本心”以求理，克服私欲、回復(fù)良知。生 相同點(diǎn)：都提出了一個(gè)宇宙、社會(huì)、人生遵循的“理”。師 對(duì)。程朱理學(xué)是客觀唯心主義，陽(yáng)明心學(xué)是主觀唯心主義。這兩者的分歧是理學(xué)范圍內(nèi)的分歧，其基本思想是一致的。師 宋明理學(xué)與漢唐以前的儒學(xué)比較，最大的特點(diǎn)在于批判地吸收了佛教哲學(xué)的思辨結(jié)構(gòu)和道教的宇宙生成論，將儒家的倫理學(xué)說概括升華為哲學(xué)基本問題。其實(shí)質(zhì)是把佛、道“養(yǎng)性”“修身”引向儒家的“齊家”“治國(guó)”“平天下”，對(duì)儒家的綱常道德給予哲學(xué)論證，使之神圣化、絕對(duì)化、普遍化，以便深入人心，做到人人遵而行之。
人教版高中英語(yǔ)必修3Astronomy the science of the stars說課稿3篇
Step 2 Pre-listeningAfter students finish their discussion, I will show a picture of Newton and ask them: Who is him? What is he famous for? Could you find out some words to describe him? Maybe students will answer that he is genius for his finding of theGravitation, making a great contribution to the progress of human being. At that time I will show another two pictures of Einstein and Hawking, letting students guess who they are and write down their idea about the Gravitation. For I have arranged them to search more information about the gravity before this class, Students have beenfamiliar with the topic and will not be afraid about this abstract conception, which is helpful for their listening.Step 3 While-listeningIn this step, students will be required to listen the material for three times. The first and listening is extensive listening and the second and third listening is intensive listening. In the first time, They are required to listen a material including Part 1 and Part 2 and choose the best summary of the listening text. After they choose the right answer, They also need work in group to explain what is wrong with the others. Then I will make a conclusion that we should pay attention to the first paragraph and last paragraph and some keys to get the main idea. By doing this, their capacity of generalization will have a great improvement.Before the second listening, I will ask students to scan the blank on the power point quickly and ask them to note down some key words .Then ask them to listen to the Part 1again and fill the first column of the chart. Maybe some students just show the ideas of these three scientists an still can’t catch their development of gravity. Therefore, I will ask them to listen to Part 2 again and fill in the rest. After finish the listening, I will give them ten minutes to discuss with their partner. I will also guidethem to improve their answers when they discuss with others.
人教版高中英語(yǔ)必修4Theme parks說課稿3篇
The oldest and the most popular park in the worldenjoy the exciting activities thereget close to the life-size cartoon characters like Mickey Mouse and Donald Duck Step 3 Pre-reading1.What do you suppose a theme park is ?2.What do you think you can see in a theme park?(1.It is a kind of amusement park which has a certain theme – that the whole park is based on. 2.buildings, castles, statues, rare animals and birds, and so on.) Step 4 Reading ----- Theme Parks –---- Fun and More Than Fun1.Predict : Read the title and the pictures on P. 34 and PredictWhat is the meaning of the title “Theme Park – Fun and more than fun”?(The title means that theme parks are fun to visit, but that they can also be educational and can offer useful information.)2.Skimming Fast read and answer:What activities can we take in a theme park?Amusement park: Bumper car Merry-go-round slide bungee jumping Free-fall rides Horror films Pirate ship Ferris wheel roller coaster3.Scanning Read again and you will find various theme parks are mentioned in the passage . Then what are they ?Theme parks: Sports theme park History theme park Culture theme park Marine or Ocean theme Park Future park Science theme park Disneyland4.Careful reading and find the main idea of each paragraph:THEME PARKS---- entertaining/ educationalPara.1 Traditional parks are places to go for relaxation and to have time away from our busy lives.Para.2 Theme parks are different They’re large and full of things to do, see and buy.Para.3 Theme parks are built around a single idea or theme. One example is a sports park.Para.4 Another kind of theme park is historical more and cultural and can be educational.Para.5 Disneylandwas the first theme park. It is based on the fantasy life and characters of Disney’s films.Para.6 Some examples of educational theme parks include sea world parks and science parks.
人教版高中英語(yǔ)必修5Life in the Future說課稿5篇
Good afternoon, everyone. It’s my great pleasure to be here sharing my lesson with you. The content of my lesson is Senior English for China Book5 Unit 3 Life in the Future. I’ll be ready to begin this lesson from six parts: Analysis of the teaching material, Analysis of the students, Teaching aims and important and difficult points, Teaching methods and aids, Teaching procedures, and Blackboard design. First, let me talk about the teaching material.Part 1 Analysis of the Teaching Material:This unit is about what human beings’ life will be like in about one thousand years. By studying of this unit, we’ll Enable the students to know the changes in humans’ life and some new inventions bringing about the change and develop the interest in science. This lesson plays an important part in the English teaching in this unit. This is an important lesson in Book Five. From this lesson, it starts asking the Ss to grasp contents of each passage. Therefore, this lesson is in the important position of the teaching material. If the Ss can learn it well, it will be helpful to make the Ss learn the rest of this unit.Part 2 Analysis of the SsAs Senior2 Ss, they are at different levels of English fluency, some of them have lost interest in English. So during the lesson, I arrange a variety of activities to let all of them join in to attract their interest and let them be confident and taste the joy of success.
人教版高中地理必修3河流的綜合開發(fā)—以美國(guó)田納西河流域說課稿
師我國(guó)河流眾多，長(zhǎng)江流域、黃河流域、珠江流域等正在繼續(xù)開發(fā)，出示“長(zhǎng)江流域示意圖”，請(qǐng)同學(xué)們借鑒今天所學(xué)的分析方法，分析長(zhǎng)江流域發(fā)展的自然地理?xiàng)l件。（學(xué)生相互交流、討論）生略。師長(zhǎng)江干流全長(zhǎng)6300余千米，發(fā)源于青藏高原，流經(jīng)青、藏、滇、川、渝、鄂、湘、贛、皖、蘇、滬，奔入東海。水域遼闊，總面積達(dá)180萬平方千米，流經(jīng)我國(guó)半壁河山。水量汪洋壯闊，多年平均入海近10000億立方米。流域內(nèi)總?cè)丝?、耕地各約占全國(guó)的35%，工農(nóng)業(yè)總產(chǎn)值占全國(guó)的40%～50%，歷來是中華民族繁衍的沃土。流域經(jīng)過我國(guó)三大階梯，流經(jīng)青藏高原、橫斷山脈、四川盆地、云貴高原、長(zhǎng)江中下游平原等地形區(qū)。流域內(nèi)水系發(fā)達(dá)、眾多，以亞熱帶季風(fēng)氣候?yàn)橹?，氣候溫暖濕?rùn)，降水量豐富，河流水量大，水能資源、森林資源、礦產(chǎn)資源豐富，長(zhǎng)江干流自古以來就是我國(guó)東西航運(yùn)的大動(dòng)脈，溝通內(nèi)地和沿海的廣大地區(qū)，干支流通航里程約占全國(guó)內(nèi)河航道總里程的2/3，形成了一個(gè)縱橫廣闊的水運(yùn)網(wǎng)，被譽(yù)為“黃金水道”。
高中思想政治人教版必修三《文化創(chuàng)新的途徑》說課稿
二、說學(xué)情本課的教學(xué)對(duì)象為高二學(xué)生，他們思維活躍已具備一定歸納能力和分析、綜合能力，能夠自主地分析現(xiàn)實(shí)生活中的一些文化行為，但看問題往往比較偏激、片面，缺乏良好的邏輯思維能力。所以，在文化創(chuàng)新的途徑上要對(duì)他們進(jìn)行指導(dǎo)，以免走入誤區(qū)。三、教學(xué)目標(biāo)根據(jù)新課程標(biāo)準(zhǔn)、教材特點(diǎn)、學(xué)生的實(shí)際，我確定了如下教學(xué)目標(biāo)：【知識(shí)與能力目標(biāo)】1.理解文化創(chuàng)新的根本途徑和兩個(gè)基本途徑;2.了解文化創(chuàng)新過程中需要堅(jiān)持正確方向，克服錯(cuò)誤傾向。
人教版高中語(yǔ)文必修1《人性光輝：寫人要凸顯個(gè)性》說課稿2篇
人教版新課標(biāo)教材必修一的“表達(dá)交流”部分，有一個(gè)專題是“人性的光輝——寫人要凸顯個(gè)性”。其中的“寫法借鑒”部分列舉了兩則人物描寫實(shí)例，并歸納出人物描寫的幾個(gè)要點(diǎn)。其訓(xùn)練的思路和方法是很明顯的，但所列舉的人物描寫的實(shí)例卻不夠典型。而必修一第三單元正好是學(xué)習(xí)寫人記事散文，其中的兩篇自讀課文《記梁任公先生的一次演講》《金岳霖先生》又是寫人記事非常典型的文章，故而我嘗試將這兩篇文章作為實(shí)例和。寫人要凸顯個(gè)性。寫作指導(dǎo)結(jié)合起來教學(xué)。這樣設(shè)計(jì)還有一個(gè)目的，那就是解決課程改革中教學(xué)內(nèi)容多而課時(shí)緊張的矛盾，提高課堂教學(xué)效率。師：今天，我們一起來學(xué)習(xí)“寫人要凸顯個(gè)性”。這兩堂課分四個(gè)步驟來完成：一、先學(xué)習(xí)教材中關(guān)于寫人方法的介紹，約15分鐘；二、快速閱讀第三單元的《記梁任公先生的一次演講》和《金岳霖先生》兩篇文章，具體感受其寫人的方法，約30分鐘；
新人教版高中英語(yǔ)必修3Unit 1 Festivals and celebrations-Discovering Useful Structure教學(xué)設(shè)計(jì)
4.That was an experience that frightened everyone. →That was _____________________. 答案：1. taking 2. being discussed 3. in the reading room 4. a frightening experienceStep 6 The meaning and function of V-ing as the predicative動(dòng)詞-ing形式作表語(yǔ)，它通常位于系動(dòng)詞后面，用以說明主語(yǔ)“是什么”或“怎么樣”一種表示主語(yǔ)的特質(zhì)、特征和狀態(tài), 其作用相當(dāng)于形容詞; 另一種具體說明主語(yǔ)的內(nèi)容, 即主語(yǔ)等同于表語(yǔ), 兩者可互換。The music they are playing sounds so exciting. 他們演奏的音樂聽起來令人激動(dòng)。The result is disappointing. 結(jié)果令人失望。Our job is playing all kinds of music. 我們的工作就是演奏各種音樂。Seeing is believing. 眼見為實(shí)。Step 7 Practice1. It is ________(amaze) that the boy is able to solve the problem so quickly.2. Buying a car is simply _______(waste) money. 3. Please stop making the noise—it’s getting ________(annoy). 4. complete the passage with the appropriate -ing form.La Tomatina is a festival that takes place in the Spanish town Bunol every August. I think many food festivals are __________ because people are just eating. however, this festival is _________ because people don't actually eat the tomatoes. Instead, they throw them at each other! the number of people ________ part in this tomato fight, can reach up to 20,000, and it is a very __________ fight that lasts for a whole hour. The _______ thing is how clean Bunol is after the tomatoes are washed away after the fight. this is because the juice form tomatoes is really good for making surfaces clean!答案：1. amazing 2. wasting 3. annoying4. boring interesting taking exciting amazing
新人教版高中英語(yǔ)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.
新人教版高中英語(yǔ)必修3Unit 1 Festivals and Celebrations-Listening &Speaking＆Talking教學(xué)設(shè)計(jì)
The theme of this section is “Talk about festival activities and festival experiences”.Festival and holiday is a relaxing and interesting topic for students. This part talks about the topic from the daily life of students’. In the part A ---Listening and Speaking, there are three conversations among different speakers from three countries(Japan, Rio and China), where the speakers are participating in or going to participate in the festivals and celebrations. So listening for the relationship among them is a fundamental task. Actually, with the globalization and more international communication, it is normal for Chinese or foreigners to witness different festivals and celebrations in or out of China. In the Conversation 1, a foreign reporter is interviewing a Japanese young girl who just had participated in the ceremony of the Coming-of-Age Day on the street and asking her feeling about the ceremony and the afterwards activities. Conversation 2, Chinese girl Li Mei is witnessing the Rio Carnival for the first time, and her friend Carla gives her some advice on the costumes which enables her to match with the carnival to have a good time. Conversation 3, a Chinese guide is showing a group of foreign visitors around the Lantern Festival and introducing the customs of the festival to them. The three conversations have a strong vitality and insert the festival and cultural elements from different countries. So perceiving the festivals and cultures from different countries is the second task. At the same time, the scripts also insert the targeted grammar --- v-ing as attributive and predicative, which students can perceive and experience in a real context and make a road for the further study. That is the third task. In the Part B--- Listening and Talking, the theme is “Talk about festival experience”, which is the common topic in our daily conversations. During the conversation, Song Lin, a Chinese student, asked Canadian friend Max about how to spend Christmas. In the conversation, Song Lin talked about experience and the feelings during the Chinese Spring Festival, during which there are not only some enjoyable things but some unpleasant things. After the listening, perhaps students find there are some similarities between Christmas and the Chinese Spring Festival as there are some differences in the origins and celebrations. For example, people always visit friends and relatives, decorate their houses, have a big dinner together, chat and give presents to each other.
新人教版高中英語(yǔ)必修3Unit 1 Festivals and Celebrations-Reading for writing教學(xué)設(shè)計(jì)二
Step 3 Analyzing article structureActivity 31. Teachers raise questions to guide students to analyze the chapter structure of this diary and think about how to describe the festival experience. (1)What should be included in the opening/body/closing paragraph(s)?(2)How did the writer arrange his/her ideas?(3)What kind of interesting details did the writer describe?(4)How did the writer describe his/her feelings/emotions during the event?2. Students read and compare the three sentence patterns in activity 2. Try to rewrite the first paragraph of the diary with these three sentence patterns. After that, students exchange corrections with their partners. Such as:●This was my first time spending three days experiencing the Naadam Festival in China’s Inner Mongolia Autonomous Region and it was an enjoyable and exciting experience. ●I'll never forget my experience at the Naadam Festival because it was my first time to watch the exciting Mongolian games of horse racing, wrestling, and archery so closely. ●I'll always remember my first experience at the Naadam Festival in China’s Inner Mongolia Autonomous Region because it was so amazing to spend three days witnessing a grand Mongolian ceremony. Step 4 Accumulation of statementsActivity 41. Ask the students to read the diary again. Look for sentences that express feelings and emotions, especially those with the -ing form and the past participle. Such as:● …h(huán)orse racing, wrestling, and archery, which are all so exciting to watch. ● some amazing performances● I was surprised to see…● I was a little worried about. . . ● feeling really tiredOther emotional statements:●I absolutely enjoyed the archery, too, but the horse races were my favourite part. ●I'm finally back home now, feeling really tired, but celebrating Naadam with my friend was totally worth it. ●He invited me back for the winter to stay in a traditional Mongolian tent and cat hot pot. I can’t wait!2. In addition to the use of the -ing form and the past participle, the teacher should guide the students in the appreciation of these statements, ask them to memorize them, and encourage them to use them reasonably in writing practice.
新人教版高中英語(yǔ)必修3Unit 1 Festivals and Celebrations-Reading for Writing教學(xué)設(shè)計(jì)一
The topic of this part is “Write about your festival experience”.During the Listening and Speaking and Talking, students are just asked to say out their festival experiences such as the Spring Festival, Mid-autumn Day, but this part students will be asked to write down their own festival experiences. During the reading part, it introduces the Naadam Festival in Inner Mongolia Autonomous Region, which can give students a good example to imitate. Students not only learn the festival, but touch and feel the Inner Mongolian’s character, the spirit and cultural atmosphere, which can help students form the cultural awareness and learn to enjoy and value the diversity of Chinese culture.Concretely, the dairy tells the experience that the author spent the Naadam Festival in Inner Mongolia Autonomous Region with his/her friend. The structure is clear. In the opening paragraph, it introduces the topic of the Naadam Festival and the whole feeling. Then it introduces the items of the festival like the ceremony, wrestling and horse racing. Finally, it summarizes this experience. Because this part is a travel journal, we must guide students pay more attention to these details: 1. use the first person. 2. use the past tense to tell the past thing and use the present or future tense to describe the scenery. 3. use the timeline to tell the development. 4. be careful for the author’s psychology, emotion and feeling, etc.1. Read quickly to get main idea; read carefully to get the detailed information about Naadam Festival.2. Learn the structure of the reading article and language.3. Write an article about a festival experience4. Learn to use the psychology, emotions and feeling in the writing.1. Write an article about a festival experience.2. Use the structure of the reading article and language.
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(jì)
新知探究我們知道，等差數(shù)列的特征是“從第2項(xiàng)起，每一項(xiàng)與它的前一項(xiàng)的差都等于同一個(gè)常數(shù)” 。類比等差數(shù)列的研究思路和方法，從運(yùn)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(shí)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(zhǎng)度看成單位“1”，那么從第1天開始，每天得到的“錘”的長(zhǎng)度依次是1/2,1/4,1/8,1/16,1/32,… ④3.在營(yíng)養(yǎng)和生存空間沒有限制的情況下，某種細(xì)菌每20 min 就通過分裂繁殖一代，那么一個(gè)這種細(xì)菌從第1次分裂開始，各次分裂產(chǎn)生的后代個(gè)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)選擇性必修二等差數(shù)列的概念（1）教學(xué)設(shè)計(jì)
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?cè)诶斫饬撕瘮?shù)的一般概念，了解了函數(shù)變化規(guī)律的研究?jī)?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(duì)函數(shù)的理解，而且掌握了冪函數(shù)，指數(shù)函數(shù)，對(duì)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(xiàng)公式和前n項(xiàng)和公式，并應(yīng)用它們解決實(shí)際問題和數(shù)學(xué)問題，從中感受數(shù)學(xué)模型的現(xiàn)實(shí)意義與應(yīng)用，下面，我們從一類取值規(guī)律比較簡(jiǎn)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(hào)的女裝上對(duì)應(yīng)的尺碼分別是38,40,42,44,46,48 ②3.測(cè)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)選擇性必修二數(shù)列的概念（1）教學(xué)設(shè)計(jì)
情景導(dǎo)學(xué)古語(yǔ)云:“勤學(xué)如春起之苗,不見其增,日有所長(zhǎng)”如果對(duì)“春起之苗”每日用精密儀器度量,則每日的高度值按日期排在一起,可組成一個(gè)數(shù)列. 那么什么叫數(shù)列呢?二、問題探究1. 王芳從一歲到17歲，每年生日那天測(cè)量身高，將這些身高數(shù)據(jù)（單位：厘米）依次排成一列數(shù)：75,87,96,103,110,116,120,128,138，145,153,158,160,162,163,165,168 ①記王芳第i歲的身高為 h_i ，那么h_1=75 , h_2=87, 〖"…" ，h〗_17=168.我們發(fā)現(xiàn)h_i中的i反映了身高按歲數(shù)從1到17的順序排列時(shí)的確定位置，即h_1=75 是排在第1位的數(shù)，h_2=87是排在第2位的數(shù)〖"…" ，h〗_17 =168是排在第17位的數(shù)，它們之間不能交換位置，所以①具有確定順序的一列數(shù)。2. 在兩河流域發(fā)掘的一塊泥板（編號(hào)K90，約生產(chǎn)于公元前7世紀(jì)）上，有一列依次表示一個(gè)月中從第1天到第15天，每天月亮可見部分的數(shù)：5,10,20,40,80,96,112,128,144,160,176,192,208,224,240. ②
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（1）教學(xué)設(shè)計(jì)
高斯（Gauss，1777－1855），德國(guó)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(cè)量學(xué)、磁學(xué)、光學(xué)等領(lǐng)域都做出過杰出貢獻(xiàn). 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(shí)際上解決了求等差數(shù)列：1，2，3，…，n，"… " 前100項(xiàng)的和問題.等差數(shù)列中，下標(biāo)和相等的兩項(xiàng)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(jì)算1＋2＋3＋… ＋101嗎？問題3： 你能計(jì)算1＋2＋3＋… ＋n嗎？需要對(duì)項(xiàng)數(shù)的奇偶進(jìn)行分類討論.當(dāng)n為偶數(shù)時(shí)， 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(dāng)n為奇數(shù)數(shù)時(shí)， n－1為偶數(shù)
