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人教版高中英語必修4A taste of English Humor說課稿3篇
Then I would ask them to think of a funny English or Chinese and tell it to partners. While telling stories, they can use expressions and some acting to help make the story funny. 5 minutes would be given to do this.Those stories they told there will be the material for their writing. Soletting them tell it at first is helpful. And they can make a difference between telling a funny story and writing it down. Generally speaking, it is difficult forstudents to write well because they don’t know what to write and how to write. Asking them to tell their own stories at first can help them come up with what to write.After their telling, I would invite someone to share his/her story with all of us and I would write it down on the blackboard.This example story would be used as a sample to illustrate the format of funny story. Different from a story from teacher or textbook, a story from students can obviously become a interesting material to draw students’ attention.Then I would ask the whole class to put this story into several parts. It might be a little bit difficult for them. So I would ask them to find out whether all the sentences are necessary. After delete some sentences, there are 6 sentences left behind. Then they can easily put them into three parts. After interaction with students, I would teach them the right terms for each part and conclude the format of funny story.This step is the key and difficult point in my lesson. So I mainly usetask-based teaching method in this part and the task for students was divided into several stages. With the separated difficult level, students can find there are usually three parts in writing. They can also learn to write without the unnecessary parts in the process of analyzing. And then I wouldn’t rush to tell them the right terms to them directly. Instead, I would ask them to name them by their own. A confused mind is better for acquiring knowledge.While-writing:Then I would give students 7 minutes to write down this story, without other requirements.With all the preparations in pre-writing, students’ difficulties were cleared. So it would be much easier for them to write down the story within 7 minutes. There are no other requirements because students’ first writing is actually a drafting. It would be revise and edit several times later. Writing, as a skill
人教版高中英語必修3Canada-the true north說課稿4篇
Good afternoon, teachers, It’s my great pleasure to be here sharing my lesson with you.The content of my lesson is Senior English Book 3 Unit 5 Canada —— “The true North”.I’ll be ready to begin this lesson from five parts. Analysis of the teaching material,the teaching methods,the studying methods, the teaching procedure,and Blackboard design.First, let me talk about the teaching material.Part 1 Teaching Material:This unit is about the introduction of Canada. By studying of this unit,we’ll enable the students to learn the geography, population, main cities, and natural beauty, natural resources of Canada. Through the training of the unit, it also requires students to learn some Language skills such as the expressions of position and emotions.So it plays an important part in the English teaching in this book.After studying the teaching material and analyzing the rule of children’s growing of mind,I think the teaching aims are the followings:1.Knowledge objects:(1) make the students learn some new words and phrases(2) make the students understand the content of the lesson.2.Ability objects:(1)To develop the Ss’ abilities of listening, speaking, reading and writing. Especially reading and speaking ability.(2) learn to talk about the characters of Canada in English(3)To train the Ss’ ability of working in pairs.3.Emotion objects:(1)Enable students to understand the characters of Canada..(2)Stimulate Ss to work hard to make China stronger.Part 2 Teaching Methods:I think helping students learn to master new words and phrases and improve the students’ reading and speaking ability is import and the difficult.According to the analysis of the teaching material and the import points and the difficult points,I will use the following teaching methods : question-guiding approach; fast-reading and careful reading; multi-media teaching methods; discussion
人教版高中英語必修3Festivals around the World說課稿3篇
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:
人教版高中英語必修4Working The Land說課稿3篇
Knowledge objectives:(1) to make Ss grasp the usage of words, expressions and sentence structures: statistics, struggle, thanks to, rid of, some patterns for persuasion, the “ing” form as subject and object;(2)to use learnt knowledge to persuade sb.Ability objectives:(1) to develop Ss’ reading skills(skimming, scanning, word guessing);(2) to improve Ss’ speaking, communicating and cooperating skills.Emotional objectives:to make Ss know the contribution of Yuan,and learn his spirit and his simple life time.Teaching important and difficult points:(1) some words, expressions and sentence structures mentioned above;(2)the content of the text;(3)training their reading and speaking skills.Teaching methods: CLT, TBLT,QT.Learning strategies: CLS, QLS, TBLS.Teaching procedures:Step 1 lead-in: (1) teacher plays a piece of recent news from CCTV about the harvest of the super hybrid rice, and ask students whether they know Yuan or not, and talk about him and his contribution.(2)Brain storm: let Ss describe Yuan in their minds including his appearance, his living condition and so on.Step 2 fast reading tasks:(1)teacher introduces Yuan and super hybrid rice(2)make Ss read the text as fast as possible with questions. Such as: what’s the general ideaof this passage? What’s Yuan’ dream? (skimming and scanning skill)Step 3 intensive reading tasks(1)let Ss read the text silently, find topic sentence of each paragraph and draw the difficult sentences and the knowledge what they don’t understand.(words guessing)(2)teacher and Ss talk about the important words, expressions and sentences together, and ask Ss to retell the content of the text.(summarizing and paraphrasing)(3)teacher summarize this part.(4) read again following the courseware.
人教版高中英語必修3The million pound bank note說課稿3篇
在接下來的細讀環(huán)節(jié)，我套用了高考對閱讀理解的考查方式設置了5個問題，分別為三個推理判斷題，一個細節(jié)題和一個主旨大意題。學生需要對文章的內容進行分析、歸納、推理、猜測等高級思維活動才能做出正確的回答。【設計意圖】這一過程是對學生進行細讀的訓練，培養(yǎng)學生獲取特定信息和挖掘文章深層次信息的能力。第三環(huán)節(jié):Intensive-reading (精讀) 15′第三個環(huán)節(jié)精讀，既是最重要的環(huán)節(jié)，也是突破本課重難點的關鍵。首先，讓學生思考劇本中人物看到百萬英鎊前后的態(tài)度發(fā)生了怎樣的變化。其次，讓學生仔細閱讀文章，找出可以表現(xiàn)人物態(tài)度變化的具體的語言和動作。最后，讓學生總結人物的態(tài)度發(fā)生變化的根本原因是什么，從而引出Money Talks, 供學生思考?！驹O計意圖】通過一系列的活動培養(yǎng)學生學習從人物的語言和動作探究人物的心理，使學生進一步體會戲劇語言的魅力，從而對文章背后所反映的社會問題進行思考，也為下一步的討論環(huán)節(jié)做好鋪墊。
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:
人教版高中英語必修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.
人教版高中英語必修5Making the news說課稿4篇
今天我們來介紹一下必修五第四單元的授課方式。這個單元的題目是Making the news。應該是學生比較感興趣的話題，學生往往對新聞工作充滿好奇，所以我們可以利用這個機會多設計一些師生互動和學生互動，來激發(fā)起學習的積極性，提高學習效率。同時我們可以利用這個單元不僅幫助學生掌握語言知識，培養(yǎng)語言能力，同時讓其了解新聞工作的重要性，培養(yǎng)起社會智能感。這個單元分為六個課時，它的教學目標是這樣的：語言目標是掌握詞匯表中的常用單詞和短語，掌握倒裝句的一些基本用法。 技能目標是能初步掌握約會的基本句型并在真實的場景下正確運用。新聞報道類文章的寫作技能。采訪的基本規(guī)范和溝通技能。情感目標是對新聞報道的客觀性和真實性有更好的理解。對新聞記者的職業(yè)有更深入的了解，并能體會其工作的重要性。下面我們來介紹一下第一課時的授課方式，第一課的教學目標是這樣的第一課時的教學目標語言目標:單詞：Occupation, journalist, editor, photographer, curious, personality, enthusiasm
人教版高中語文必修3《馬嵬（其二）》說課稿
生2：頷聯(lián)的意思是只聽到禁衛(wèi)軍中傳來夜間巡邏的梆子聲，不再向宮中那樣安逸地聽到有雞人打鳴報時的聲音了。生3：頸聯(lián)的意思是說事變發(fā)生那天軍隊發(fā)生嘩變停留不前，但當年唐玄宗以為自己可以和貴妃天天在一起，對天上的牽牛和織女一年一度的會見還加以嘲笑呢。生4：尾聯(lián)的含義是為什么唐玄宗當了四十五年的皇帝，還不如普通百姓夫妻恩愛，長相廝守。師：好的。請大家再齊讀一遍詩文，做到人人都能疏通詩的含義。學生再次齊讀。第三環(huán)節(jié)：專項探究師：白居易曾說：“文章合為時而著，歌詩合為事而作。”這首詩就是作者途經馬嵬驛，詠馬嵬之變這一歷史事件而作，所以我們鑒賞的第三步，就是通過標題和詩文，弄清詩中的歷史事件。請同學們找出詩中哪些詩句描述了這一事件？
人教版高中政治必修2國際社會的主要成員-主權國家和國際組織說課稿
【教師總結：聯(lián)合國的會徽的世界地圖象征著聯(lián)合國是一個世界性的國際組織；圖案中得橄欖枝象征著和平。聯(lián)合國采取了很多措施以實現(xiàn)它的宗旨，如對于朝鮮違反國際法規(guī)進行核試驗，聯(lián)合國給予警告和制裁，充分體現(xiàn)了它維護國際和平與安全，促進國際合作與發(fā)展的宗旨。】對于中國與聯(lián)合國的關系這部分內容，我將請閱讀教材92頁幾幅圖片及材料內容，設置活動探究課中國在聯(lián)合國的聲音和身影，請合作討論思考以下兩個問題，中國與聯(lián)合國的關系；列舉事實說明中國在國際社會中的重要作用。 教師通過剖析中國在聯(lián)合國的地位和作用，引導學生理解中國在國際社會中發(fā)揮著重要作用，是負責任的國家；同時培養(yǎng)學生綜合運用知識分析說明問題的能力，使學生感受作為中國人的自豪?！窘處熆偨Y：中國是聯(lián)合國的創(chuàng)始國之一，中國作為聯(lián)合國的創(chuàng)始國和安理會常任理事國之一，一貫遵循聯(lián)合國憲章的宗旨和原則，積極參與聯(lián)合國及其專門機構有利于世界和平和發(fā)展的活動。】
人教版高中語文必修3《愛的奉獻 學習議論中的記敘》說課稿
教學過程：（一）導入：課前放《愛的奉獻》歌曲，同時不斷播放一些有關“愛”的主題的圖片，渲染一種情感氛圍。師說：同學們，誰能說說這組圖片的主題應該是什么？生（七嘴八舌）：母愛，不對是親情……是友情、還有人與人互相幫助……那組軍人圖片是說保衛(wèi)國家，應該是愛國……那徐本禹和感動中國呢？…………生答：是關于愛的方面師說：不錯，是關于愛的方面。那么同學們，今天就以“愛的奉獻”為話題，來寫一篇議論文如何？生答：老師，還是寫記敘文吧。生答：就是，要不議論文寫出來也象記敘文。師問：為什么？生答：老師，這個話題太有話說了，一舉例子就收不住了，怎么看怎么象記敘文。生答：就是，再用一點形容詞，就更象了。眾人樂。師說：那么同學們誰能告訴我，為什么會出現(xiàn)這種問題？一生小聲說：還不是我們笨，不會寫。師說：不是笨，也不是不會寫，你們想為什么記敘文就會寫，一到議論文就不會了，那是因為同學們沒有明白議論文中的記敘與記敘文中的記敘有什么不同，所以一寫起議論文中的記敘，還是按照記敘文的寫法寫作，這自然就不行了。那好，今天我們就從如何寫議論文中的記敘講起。
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)學生運用哲學理論觀察、分析、處理社會問題的能力，增強學生的時代感。（三）情感、態(tài)度與價值觀目標培養(yǎng)學生與時俱進的思想品質，讓學生關注時代、關注現(xiàn)實、關注生活，逐步樹立科學的世界觀、人生觀、價值觀。三、說教學重難點：時代精神的總結和升華是本框的難點，雖然學生在文化生活中學習了文化與經濟政治的關系，但要讓學生得出哲學是時代精神的總結和升華，還要聯(lián)系前面關于哲學的基礎知識進行總結歸納，因此可能會難以把握，另外關于什么樣的哲學是真正的哲學的理解會稍有難度。社會變革的先導是本框的重點，一方面哲學源于時代，另一方面強調哲學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)學生學習哲學的熱情和信心，對于后面知識的學習是極為有益的，因此社會變革的先導這一目作重點處理。
人教A版高中數學必修一集合間的基本關系教學設計（1）
本節(jié)內容來自人教版高中數學必修一第一章第一節(jié)集合第二課時的內容。集合論是現(xiàn)代數學的一個重要基礎，是一個具有獨特地位的數學分支。高中數學課程是將集合作為一種語言來學習，在這里它是作為刻畫函數概念的基礎知識和必備工具。本小節(jié)內容是在學習了集合的含義、集合的表示方法以及元素與集合的屬于關系的基礎上，進一步學習集合與集合之間的關系，同時也是下一節(jié)學習集合間的基本運算的基礎，因此本小節(jié)起著承上啟下的關鍵作用.通過本節(jié)內容的學習，可以進一步幫助學生利用集合語言進行交流的能力，幫助學生養(yǎng)成自主學習、合作交流、歸納總結的學習習慣，培養(yǎng)學生從具體到抽象、從一般到特殊的數學思維能力，通過Venn圖理解抽象概念，培養(yǎng)學生數形結合思想。
圓與圓的位置關系教學設計人教A版高中數學選擇性必修第一冊
1.兩圓x2+y2-1=0和x2+y2-4x+2y-4=0的位置關系是( )A.內切 B.相交 C.外切 D.外離解析:圓x2+y2-1=0表示以O1(0,0)點為圓心,以R1=1為半徑的圓.圓x2+y2-4x+2y-4=0表示以O2(2,-1)點為圓心,以R2=3為半徑的圓.∵|O1O2|=√5,∴R2-R1<|O1O2|<R2+R1,∴圓x2+y2-1=0和圓x2+y2-4x+2y-4=0相交.答案:B2.圓C1:x2+y2-12x-2y-13=0和圓C2:x2+y2+12x+16y-25=0的公共弦所在的直線方程是 . 解析:兩圓的方程相減得公共弦所在的直線方程為4x+3y-2=0.答案:4x+3y-2=03.半徑為6的圓與x軸相切,且與圓x2+(y-3)2=1內切,則此圓的方程為( )A.(x-4)2+(y-6)2=16 B.(x±4)2+(y-6)2=16C.(x-4)2+(y-6)2=36 D.(x±4)2+(y-6)2=36解析:設所求圓心坐標為(a,b),則|b|=6.由題意,得a2+(b-3)2=(6-1)2=25.若b=6,則a=±4;若b=-6,則a無解.故所求圓方程為(x±4)2+(y-6)2=36.答案:D4.若圓C1:x2+y2=4與圓C2:x2+y2-2ax+a2-1=0內切,則a等于 . 解析:圓C1的圓心C1(0,0),半徑r1=2.圓C2可化為(x-a)2+y2=1,即圓心C2(a,0),半徑r2=1,若兩圓內切,需|C1C2|=√(a^2+0^2 )=2-1=1.解得a=±1. 答案:±1 5. 已知兩個圓C1:x2+y2=4,C2:x2+y2-2x-4y+4=0,直線l:x+2y=0,求經過C1和C2的交點且和l相切的圓的方程.解:設所求圓的方程為x2+y2+4-2x-4y+λ(x2+y2-4)=0,即(1+λ)x2+(1+λ)y2-2x-4y+4(1-λ)=0.所以圓心為 1/(1+λ),2/(1+λ) ,半徑為1/2 √((("-" 2)/(1+λ)) ^2+(("-" 4)/(1+λ)) ^2 "-" 16((1"-" λ)/(1+λ))),即|1/(1+λ)+4/(1+λ)|/√5=1/2 √((4+16"-" 16"(" 1"-" λ^2 ")" )/("(" 1+λ")" ^2 )).解得λ=±1,舍去λ=-1,圓x2+y2=4顯然不符合題意,故所求圓的方程為x2+y2-x-2y=0.
直線與圓的位置關系教學設計人教A版高中數學選擇性必修第一冊
切線方程的求法1.求過圓上一點P(x0,y0)的圓的切線方程:先求切點與圓心連線的斜率k,則由垂直關系,切線斜率為-1/k,由點斜式方程可求得切線方程.若k=0或斜率不存在,則由圖形可直接得切線方程為y=b或x=a.2.求過圓外一點P(x0,y0)的圓的切線時,常用幾何方法求解設切線方程為y-y0=k(x-x0),即kx-y-kx0+y0=0,由圓心到直線的距離等于半徑,可求得k,進而切線方程即可求出.但要注意,此時的切線有兩條,若求出的k值只有一個時,則另一條切線的斜率一定不存在,可通過數形結合求出.例3 求直線l:3x+y-6=0被圓C:x2+y2-2y-4=0截得的弦長.思路分析:解法一求出直線與圓的交點坐標,解法二利用弦長公式,解法三利用幾何法作出直角三角形,三種解法都可求得弦長.解法一由{■(3x+y"-" 6=0"," @x^2+y^2 "-" 2y"-" 4=0"," )┤得交點A(1,3),B(2,0),故弦AB的長為|AB|=√("(" 2"-" 1")" ^2+"(" 0"-" 3")" ^2 )=√10.解法二由{■(3x+y"-" 6=0"," @x^2+y^2 "-" 2y"-" 4=0"," )┤消去y,得x2-3x+2=0.設兩交點A,B的坐標分別為A(x1,y1),B(x2,y2),則由根與系數的關系,得x1+x2=3,x1·x2=2.∴|AB|=√("(" x_2 "-" x_1 ")" ^2+"(" y_2 "-" y_1 ")" ^2 )=√(10"[(" x_1+x_2 ")" ^2 "-" 4x_1 x_2 "]" ┴" " )=√(10×"(" 3^2 "-" 4×2")" )=√10,即弦AB的長為√10.解法三圓C:x2+y2-2y-4=0可化為x2+(y-1)2=5,其圓心坐標(0,1),半徑r=√5,點(0,1)到直線l的距離為d=("|" 3×0+1"-" 6"|" )/√(3^2+1^2 )=√10/2,所以半弦長為("|" AB"|" )/2=√(r^2 "-" d^2 )=√("(" √5 ")" ^2 "-" (√10/2) ^2 )=√10/2,所以弦長|AB|=√10.
人教A版高中數學必修一集合的基本運算教學設計（2）
集合的基本運算是人教版普通高中課程標準實驗教科書，數學必修1第一章第三節(jié)的內容. 在此之前，學生已學習了集合的含義以及集合與集合之間的基本關系，這為學習本節(jié)內容打下了基礎. 本節(jié)內容是函數、方程、不等式的基礎，在教材中起著承上啟下的作用. 本節(jié)內容是高中數學的主要內容，也是高考的對象，在實踐中應用廣泛，是高中學生必須掌握的重點.課程目標1. 理解兩個集合的并集與交集的含義，能求兩個集合的并集與交集；2. 理解全集和補集的含義，能求給定集合的補集； 3. 能使用Venn圖表達集合的基本關系與基本運算.數學學科素養(yǎng)1.數學抽象：并集、交集、全集、補集含義的理解；2.邏輯推理：并集、交集及補集的性質的推導；3.數學運算：求 兩個集合的并集、交集及補集，已知并集、交集及補集的性質求參數（參數的范圍）；4.數據分析：通過并集、交集及補集的性質列不等式組，此過程中重點關注端點是否含“=”及?問題；
人教版高中數學選擇性必修二等差數列的概念（1）教學設計
我們知道數列是一種特殊的函數，在函數的研究中，我們在理解了函數的一般概念，了解了函數變化規(guī)律的研究內容（如單調性，奇偶性等）后，通過研究基本初等函數不僅加深了對函數的理解，而且掌握了冪函數，指數函數，對數函數，三角函數等非常有用的函數模型。類似地，在了解了數列的一般概念后，我們要研究一些具有特殊變化規(guī)律的數列，建立它們的通項公式和前n項和公式，并應用它們解決實際問題和數學問題，從中感受數學模型的現(xiàn)實意義與應用，下面，我們從一類取值規(guī)律比較簡單的數列入手。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，從內到外各圈的示板數依次為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
人教版高中數學選擇性必修二等比數列的概念 (1) 教學設計
新知探究我們知道，等差數列的特征是“從第2項起，每一項與它的前一項的差都等于同一個常數” 。類比等差數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，各次分裂產生的后代個數依次是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 ，那么按照復利，他5年內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
人教版高中數學選擇性必修二等差數列的前n項和公式（1）教學設計
高斯（Gauss，1777－1855），德國數學家，近代數學的奠基者之一. 他在天文學、大地測量學、磁學、光學等領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列：1，2，3，…，n，"… " 前100項的和問題.等差數列中，下標和相等的兩項和相等.設 an＝n，則 a1＝1，a2＝2，a3＝3，…如果數列{an} 是等差數列，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？需要對項數的奇偶進行分類討論.當n為偶數時， 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為奇數數時， n－1為偶數
人教版高中數學選擇性必修二等比數列的前n項和公式 (1) 教學設計
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.假定千粒麥粒的質量為40克，據查，2016--2017年度世界年度小麥產量約為7.5億噸，根據以上數據，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可以構成一個數列,請判斷分析這個數列是否是等比數列?并寫出這個等比數列的通項公式.是等比數列,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學問題.
