
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

Teaching plan for Unit 1 book3Good morning, teachers. It’s my great pleasure to be here because I can share my lesson with you and I can learn a lot from it. I’ll begin my lesson from the following four parts, the teaching material, the teaching methods, the studying methods and the teaching procedure.Firstly, let me talk about the teaching material. The content of my lesson is the reading passage festivals and celebrations of Unit 1 Festivals around the world. This passage is about festivals and celebrations. By studying this passage, we’ll enable the students to know that festivals exit everywhere, and many of festivals in different countries celebrate similar ideas. As we all know, the reading passage is the center of each unit. If the Ss can learn it well, it will be helpful to make the Ss learn the rest of this unit.After studying the teaching material, I think the teaching aims are as the followings:1. Knowledge aims:(1) The Ss can master the usage of the important words andexpressions.(2)The Ss can use the __________________ (grammar) in the proper situation.Make students know about the festivals all over the world and the detail of the festivals, such as origin, content, and the date of the holiday festivals.2. Ability aims:(1) Students can talk about festivals and celebrations in English(2) To improve the student’s reading ability, especially their skimming and scanning ability.3. Emotion aims:Make the Ss know about the foreign festivals, and respect other countries’ custom.Next, let’s come to the important points and the difficult points.The important point is how to make the Ss understand the text better and the difficult point is how can they talk about it. secondly, Teaching Methods:1. task-based Language Teaching2. Computer assisted language teaching.3. question-and–answer methodThirdly, Studying Methods:

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.

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.

今天我們來(lái)介紹一下必修五第四單元的授課方式。這個(gè)單元的題目是Making the news。應(yīng)該是學(xué)生比較感興趣的話題,學(xué)生往往對(duì)新聞工作充滿好奇,所以我們可以利用這個(gè)機(jī)會(huì)多設(shè)計(jì)一些師生互動(dòng)和學(xué)生互動(dòng),來(lái)激發(fā)起學(xué)習(xí)的積極性,提高學(xué)習(xí)效率。同時(shí)我們可以利用這個(gè)單元不僅幫助學(xué)生掌握語(yǔ)言知識(shí),培養(yǎng)語(yǔ)言能力,同時(shí)讓其了解新聞工作的重要性,培養(yǎng)起社會(huì)智能感。這個(gè)單元分為六個(gè)課時(shí),它的教學(xué)目標(biāo)是這樣的:語(yǔ)言目標(biāo)是掌握詞匯表中的常用單詞和短語(yǔ),掌握倒裝句的一些基本用法。 技能目標(biāo)是能初步掌握約會(huì)的基本句型并在真實(shí)的場(chǎng)景下正確運(yùn)用。新聞報(bào)道類文章的寫作技能。采訪的基本規(guī)范和溝通技能。情感目標(biāo)是對(duì)新聞報(bào)道的客觀性和真實(shí)性有更好的理解。對(duì)新聞?dòng)浾叩穆殬I(yè)有更深入的了解,并能體會(huì)其工作的重要性。下面我們來(lái)介紹一下第一課時(shí)的授課方式,第一課的教學(xué)目標(biāo)是這樣的第一課時(shí)的教學(xué)目標(biāo)語(yǔ)言目標(biāo):單詞:Occupation, journalist, editor, photographer, curious, personality, enthusiasm

分析過(guò)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(lái)的問(wèn)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(guò)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(wèn)題的有效途徑。在此我將教會(huì)學(xué)生的是解決問(wèn)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(lái)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(guò)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(guò)建議和優(yōu)勢(shì)的對(duì)應(yīng)關(guān)系,將不難找出此類問(wèn)題的解題思路。

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(shuō)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(méi)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?

1.基因的化學(xué)組成:每個(gè)基因含有成百上千個(gè)脫氧核苷酸。講述:基因的脫氧核苷酸排列順序代表遺傳信息。2.基因不同的實(shí)質(zhì):不同的基因,四種脫氧核苷酸的排列順序不同,但是每個(gè)基因都有特定的排列順序。3.基因的位置:染色體是基因的主要載體,每個(gè)染色體含有一個(gè)DNA分子,每個(gè)DNA分子含有多個(gè)基因,基因在染色體上呈直線排列。4.基因是有遺傳效應(yīng)的DNA片段這就是說(shuō),基因是DNA的片段,但必須具有遺傳效應(yīng)(指具有復(fù)制、轉(zhuǎn)錄、翻譯、重組突變及調(diào)控等功能)。有的DNA片段屬間隔區(qū)段,沒(méi)有控制性狀的作用,這樣的DNA片段就不是基因??刂颇撤N性狀的基因有特定的DNA片段,蘊(yùn)含特定的遺傳信息,可以切除,可以拼接到其他生物的DNA上,從而獲得某種性狀的表達(dá)。例如:把牛的胰島素基因拼接到大腸桿菌的DNA上,大腸桿菌可以生產(chǎn)胰島素。

導(dǎo)語(yǔ)在必修第一冊(cè)中,我們研究了函數(shù)的單調(diào)性,并利用函數(shù)單調(diào)性等知識(shí),定性的研究了一次函數(shù)、指數(shù)函數(shù)、對(duì)數(shù)函數(shù)增長(zhǎng)速度的差異,知道“對(duì)數(shù)增長(zhǎng)” 是越來(lái)越慢的,“指數(shù)爆炸” 比“直線上升” 快得多,進(jìn)一步的能否精確定量的刻畫變化速度的快慢呢,下面我們就來(lái)研究這個(gè)問(wèn)題。新知探究問(wèn)題1 高臺(tái)跳水運(yùn)動(dòng)員的速度高臺(tái)跳水運(yùn)動(dòng)中,運(yùn)動(dòng)員在運(yùn)動(dòng)過(guò)程中的重心相對(duì)于水面的高度h(單位:m)與起跳后的時(shí)間t(單位:s)存在函數(shù)關(guān)系h(t)=-4.9t2+4.8t+11.如何描述用運(yùn)動(dòng)員從起跳到入水的過(guò)程中運(yùn)動(dòng)的快慢程度呢?直覺(jué)告訴我們,運(yùn)動(dòng)員從起跳到入水的過(guò)程中,在上升階段運(yùn)動(dòng)的越來(lái)越慢,在下降階段運(yùn)動(dòng)的越來(lái)越快,我們可以把整個(gè)運(yùn)動(dòng)時(shí)間段分成許多小段,用運(yùn)動(dòng)員在每段時(shí)間內(nèi)的平均速度v ?近似的描述它的運(yùn)動(dòng)狀態(tài)。

(5)高度不同,對(duì)平拋運(yùn)動(dòng)距離有何影響,是否因?yàn)楦叨葴p小后下落時(shí)間減小,所以要增大速度才能達(dá)到相同的距離?(教學(xué)實(shí)踐證明,這種想法在學(xué)生比較多見(jiàn)。已經(jīng)不自覺(jué)的沿用了自由落體運(yùn)動(dòng)的規(guī)律,又隱隱有運(yùn)動(dòng)等時(shí)性的痕跡。應(yīng)引導(dǎo)學(xué)生這一結(jié)果還需實(shí)驗(yàn)驗(yàn)證。)教師的引導(dǎo):其實(shí),我們所提出的看法都跟平拋運(yùn)動(dòng)的規(guī)律有關(guān)系。那么平拋運(yùn)動(dòng)究竟有怎樣的規(guī)律呢?以前學(xué)過(guò)的直線運(yùn)動(dòng)知識(shí)還能用于今天的內(nèi)容嗎?由此逐步使學(xué)生意識(shí)到分析平拋運(yùn)動(dòng)須采用運(yùn)動(dòng)合成與分解這一方法。三、實(shí)驗(yàn)驗(yàn)證自主探究(15分鐘) 物理是實(shí)驗(yàn)科學(xué),多媒體教學(xué)不能代替實(shí)驗(yàn)。本教學(xué)設(shè)計(jì)的第三個(gè)環(huán)節(jié)是實(shí)驗(yàn)驗(yàn)證,鼓勵(lì)學(xué)生自主探究。引導(dǎo)學(xué)生根據(jù)自己的猜想(實(shí)驗(yàn)?zāi)康模┰O(shè)計(jì)實(shí)驗(yàn)進(jìn)行驗(yàn)證。(1)介紹手持式平拋豎落儀,引導(dǎo)并小結(jié)實(shí)驗(yàn)要領(lǐng):聽(tīng)兩小球下落聲音判斷其下落時(shí)間。體會(huì)合運(yùn)動(dòng)和分運(yùn)動(dòng)是等時(shí)的。

二、說(shuō)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(wèn)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(guò)程中需要堅(jiān)持正確方向,克服錯(cuò)誤傾向。

二、典例解析例10. 如圖,正方形ABCD 的邊長(zhǎng)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(kāi)始,連續(xù)10個(gè)正方形的面積之和;(2) 如果這個(gè)作圖過(guò)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(wú)限增大時(shí),無(wú)限趨近于所有正方形的面積和

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_(kāi)_______.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(wèn)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(lái)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(lái)學(xué)習(xí)“寫人要凸顯個(gè)性”。這兩堂課分四個(gè)步驟來(lái)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;

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(shuō)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(shuō)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(lè)聽(tīng)起來(lái)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(lè)。Seeing is believing. 眼見(jiàn)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

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(jué)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(wàn)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(kāi)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(méi)有限制的情況下,某種細(xì)菌每20 min 就通過(guò)分裂繁殖一代,那么一個(gè)這種細(xì)菌從第1次分裂開(kāi)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

情景導(dǎo)學(xué)古語(yǔ)云:“勤學(xué)如春起之苗,不見(jiàn)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(wèn)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(jiàn)部分的數(shù):5,10,20,40,80,96,112,128,144,160,176,192,208,224,240. ②

1.判斷正誤(正確的打“√”,錯(cuò)誤的打“×”)(1)函數(shù)f (x)在區(qū)間(a,b)上都有f ′(x)<0,則函數(shù)f (x)在這個(gè)區(qū)間上單調(diào)遞減. ( )(2)函數(shù)在某一點(diǎn)的導(dǎo)數(shù)越大,函數(shù)在該點(diǎn)處的切線越“陡峭”. ( )(3)函數(shù)在某個(gè)區(qū)間上變化越快,函數(shù)在這個(gè)區(qū)間上導(dǎo)數(shù)的絕對(duì)值越大.( )(4)判斷函數(shù)單調(diào)性時(shí),在區(qū)間內(nèi)的個(gè)別點(diǎn)f ′(x)=0,不影響函數(shù)在此區(qū)間的單調(diào)性.( )[解析] (1)√ 函數(shù)f (x)在區(qū)間(a,b)上都有f ′(x)<0,所以函數(shù)f (x)在這個(gè)區(qū)間上單調(diào)遞減,故正確.(2)× 切線的“陡峭”程度與|f ′(x)|的大小有關(guān),故錯(cuò)誤.(3)√ 函數(shù)在某個(gè)區(qū)間上變化的快慢,和函數(shù)導(dǎo)數(shù)的絕對(duì)值大小一致.(4)√ 若f ′(x)≥0(≤0),則函數(shù)f (x)在區(qū)間內(nèi)單調(diào)遞增(減),故f ′(x)=0不影響函數(shù)單調(diào)性.[答案] (1)√ (2)× (3)√ (4)√例1. 利用導(dǎo)數(shù)判斷下列函數(shù)的單調(diào)性:(1)f(x)=x^3+3x; (2) f(x)=sinx-x,x∈(0,π); (3)f(x)=(x-1)/x解: (1) 因?yàn)閒(x)=x^3+3x, 所以f^' (x)=〖3x〗^2+3=3(x^2+1)>0所以f(x)=x^3+3x ,函數(shù)在R上單調(diào)遞增,如圖(1)所示

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.
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