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人教版高中歷史必修2古代的經(jīng)濟(jì)政策教案

  • 人教版高中英語必修5The United Kingdom說課稿4篇

    人教版高中英語必修5The United Kingdom說課稿4篇

    Teaching Aims:Knowledge 1. Get the students to learn the useful new words and expressions in this section. Aims:2. Let the students learn about how the UK was formed and the four groups of invaders.1. Develop students’ reading ability and let them learn different Ability reading skills. Aims:2. Enable students to learn to talk about the United Kingdom and the Union Jack Emotional 1. Let students know more about the UK2. Develop students’ sense of cooperative learning Aims:Teaching Important Points:1. Let the students learn about the countries of the United Kingdom and the Union Jack2. Get the students to read the passage and know about how the UK was formed and the four groups of invaders.3. Have the students learn different reading skills.Teaching Difficult Ponts:1. Develop students’ reading ability.2. Enable students to talk about the United Kingdom and the Union Jack.3. Let students learn how the UK was formed geographically and historically.Teaching Methods:Showing pictures, asking, exercising, listening, reading etc.Teaching Aids:A computer,a projector and a blackboard.Teaching Procedures: 1) Show a map of the world, ask students the following questions:Where is the UK?What’s the full name of the UK?2) Ask the students work in pairs to do the quiz on Page 9.Do you want to test how many things you know about the United Kingdom? Let’s have a small test.Using the map on P9, students answer the following questions:?How many countries does the UK consist of? What are they??England is divided into three main areas. Do you know what they are? 1) Scanning (10Minutes )Let the students hold the questions asked in pre-reading and read the passagequickly and then let them do the following exercise.Join lines to the right answer.

  • 人教版新課標(biāo)高中物理必修1彈力說課稿3篇

    人教版新課標(biāo)高中物理必修1彈力說課稿3篇

    基于以上分析,為使本堂課圍繞重點(diǎn)、突破難點(diǎn),同時(shí)讓學(xué)生在課堂教學(xué)中能力得到提高,我設(shè)計(jì)如下教學(xué)過程。(一)創(chuàng)設(shè)情景認(rèn)識(shí)形變由同學(xué)們已有的形變知識(shí)入手,引入新課。教師演示:①彈簧的壓縮形變;②彈簧的拉伸形變③視頻播放:竹竿形變、鋼絲的扭轉(zhuǎn)形變。得出形變的概念及各類形變。[設(shè)計(jì)意圖:我從生活情景中引入新課,是為了激發(fā)學(xué)生的好奇心,為學(xué)生學(xué)習(xí)重點(diǎn)和難點(diǎn)內(nèi)容作鋪墊。]設(shè)問:摩天大樓在風(fēng)的吹拂下會(huì)不會(huì)擺動(dòng),發(fā)生形變嗎?演示微小形變放大實(shí)驗(yàn):由于這種形變不容易觀察,會(huì)使學(xué)生產(chǎn)生疑問:到底有沒有發(fā)生形變?解決的辦法是微小形變的演示實(shí)驗(yàn)。為什么光點(diǎn)會(huì)往下移?讓學(xué)生帶著問題思考后得出結(jié)論:是由于桌面發(fā)生了形變,但是形變不明顯。為后面解決壓力和支持力都是彈力做好鋪墊。[設(shè)計(jì)意圖:使學(xué)生知道“放大”是一種科學(xué)探究的方法。]

  • 人教版高中語文必修1《沁園春·長沙》說課稿3篇

    人教版高中語文必修1《沁園春·長沙》說課稿3篇

    4、學(xué)習(xí)全詞:(1)背景介紹,讓學(xué)生看課文中的年代,然后讓學(xué)生回憶1925年的毛澤東的情況,老師適當(dāng)提示,讓學(xué)生了解其背景。(出示幻燈片)(2)學(xué)生自由朗讀,結(jié)合注釋和背景理解詩詞。(3)師生共同理解全詞①先讓學(xué)生齊讀前三句,思考正確的語序,并用正常的語序解釋。②品味第三到第十句,這里是教學(xué)的一個(gè)重點(diǎn),要讓學(xué)生先讀,再理解,在此基礎(chǔ)上訓(xùn)練學(xué)生的想象能力。③分析上闕中的最后三句。④小結(jié)上闕。提出了一個(gè)問題“誰主沉浮”讓學(xué)生在文中找內(nèi)容回答,然后轉(zhuǎn)入下闕內(nèi)容的分析。⑤分析下闕內(nèi)容,回答“誰主沉浮”的問題,突出本文主旨5、描繪詩詞形象:學(xué)生用自己的語言把上闕的內(nèi)容生動(dòng)地描繪出來。6、欣賞學(xué)生優(yōu)秀作品。(根據(jù)時(shí)間具體而定,也可以作為課后作業(yè))

  • 人教版高中語文必修3《馬嵬(其二)》說課稿

    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?qū)m中那樣安逸地聽到有雞人打鳴報(bào)時(shí)的聲音了。生3:頸聯(lián)的意思是說事變發(fā)生那天軍隊(duì)發(fā)生嘩變停留不前,但當(dāng)年唐玄宗以為自己可以和貴妃天天在一起,對(duì)天上的牽牛和織女一年一度的會(huì)見還加以嘲笑呢。生4:尾聯(lián)的含義是為什么唐玄宗當(dāng)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(qǐng)大家再齊讀一遍詩文,做到人人都能疏通詩的含義。學(xué)生再次齊讀。第三環(huán)節(jié):專項(xiàng)探究師:白居易曾說:“文章合為時(shí)而著,歌詩合為事而作?!边@首詩就是作者途經(jīng)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(biāo)題和詩文,弄清詩中的歷史事件。請(qǐng)同學(xué)們找出詩中哪些詩句描述了這一事件?

  • 人教版高中語文必修3《勸學(xué)》說課稿3篇

    人教版高中語文必修3《勸學(xué)》說課稿3篇

    《勸學(xué)》是普通高中課程標(biāo)準(zhǔn)試驗(yàn)教科書語文必修三第三單元的重點(diǎn)篇目,該文集中反映著名思想家荀子在學(xué)習(xí)問題上的觀點(diǎn)和精彩斐然的論證藝術(shù)。該單元所選課文都是古代的議論性散文。通過本單元的學(xué)習(xí)在于讓學(xué)生感受我國傳統(tǒng)文化的精神,掌握基礎(chǔ)的文言語法知識(shí),學(xué)習(xí)如何清晰有力的表達(dá)自己的思想和見解。本文安排在單元的第一篇,如何指導(dǎo)學(xué)生學(xué)好這篇課文,是實(shí)現(xiàn)“授之以漁”,樹立學(xué)生學(xué)好文言文的信心,掌握文言學(xué)習(xí)方法的關(guān)鍵。根據(jù)新課標(biāo)倡導(dǎo)從“知識(shí)與能力”、“過程與方法”、“情感態(tài)度與價(jià)值觀”三方面出發(fā)設(shè)計(jì)課程目標(biāo)的要求和高一的學(xué)生對(duì)于文言文的知識(shí)還在積累的階段,應(yīng)該注重基礎(chǔ)知識(shí)的積累和一定量的誦讀的實(shí)際情況。我擬確定以下教學(xué)目標(biāo):1,了解荀子論述學(xué)習(xí)的思想,明確學(xué)習(xí)要靠積累、堅(jiān)持不懈、專心致志的道理。2,掌握積累文言實(shí)詞、虛詞,活用、古今異議等現(xiàn)象和固定句式。

  • 人教版高中語文必修3《師說》說課稿3篇

    人教版高中語文必修3《師說》說課稿3篇

    一、設(shè)計(jì)理念教學(xué)設(shè)計(jì)堅(jiān)持少講多學(xué)、以學(xué)為主的教學(xué)理念,重視學(xué)培養(yǎng)生的學(xué)習(xí)興趣,要充分調(diào)動(dòng)學(xué)生學(xué)習(xí)的積極性和主動(dòng)性,充分發(fā)揮學(xué)生的主體性。教師要以組織者、引導(dǎo)者、合作者的角色參與到教學(xué)活動(dòng)中去。力圖通過導(dǎo)學(xué)案努力培養(yǎng)學(xué)生的自學(xué)習(xí)慣和自學(xué)能力。二、教材分析與處理1、教材的地位與作用:必修三第三單元所選的文言文都是古代的議論性散文。本課是“唐宋八大家”之首、中唐古文運(yùn)動(dòng)的倡導(dǎo)者韓愈的力作,是唐宋散文中的名篇,具有很強(qiáng)的代表性。通過這篇自讀課的學(xué)習(xí),能使學(xué)生了解唐宋散文的風(fēng)貌,更能使學(xué)生進(jìn)一步積累文言文基礎(chǔ)知識(shí),提高學(xué)生的文言文閱讀欣賞能力,從而提升學(xué)生的文言文自讀能力。2、教學(xué)目標(biāo):《高中語文課程標(biāo)準(zhǔn)》要求高中學(xué)生能閱讀淺易文言文,能借助注釋和工具書,理解詞句含義,讀懂文章內(nèi)容;了解并梳理常見的文言實(shí)詞、文言虛詞、文言句式的意義或用法,注重在閱讀實(shí)踐中舉一反三;對(duì)文章有一定的分析欣賞能力。高一的學(xué)生對(duì)于文言文的知識(shí)還在積累階段,應(yīng)該注重基礎(chǔ)知識(shí)的積累和一定量的誦讀。對(duì)此,我將教學(xué)目標(biāo)確定為:

  • 人教版高中生物必修1細(xì)胞分化說課稿

    人教版高中生物必修1細(xì)胞分化說課稿

    在講述細(xì)胞分化的意義時(shí),也可以用實(shí)例來解決,工廠的生產(chǎn)車間里不同的工人干著不同的工作,一件產(chǎn)品的產(chǎn)出需要這些工人才能創(chuàng)造出來,一個(gè)生物體就像一個(gè)車間一樣,不同的細(xì)胞各司其職,相互合作。工人的分工是主管調(diào)解出來的,而不同細(xì)胞的出現(xiàn)就是細(xì)胞分化的結(jié)果,所以說,細(xì)胞的分化是生物體發(fā)育的基礎(chǔ)。在講到細(xì)胞全能性的時(shí)候,要多給學(xué)生舉些關(guān)于細(xì)胞全能性的例子,如植物組織培養(yǎng)、克隆技術(shù)等等,讓學(xué)生從實(shí)際的例子中真正的悟出細(xì)胞全能性的含義。此外,還要重視教材中的疑問,適當(dāng)對(duì)題目進(jìn)行引申,使它的作用更加突出,有利于學(xué)生對(duì)知識(shí)的串聯(lián)、積累、加工,從而達(dá)到舉一反三的效果。怎樣來解釋細(xì)胞的全能性呢?這主要以講授法來解釋了,細(xì)胞全能性的體現(xiàn)需要在組織或器官離體后才能體現(xiàn)出來,每個(gè)細(xì)胞都包含著生物體的全套遺傳基因,通過基因選擇性的表達(dá),使離體的組織或器官通過分裂和分化逐漸發(fā)育成完整的植株。

  • 人教版高中英語必修1Journey Down the Mekong說課稿

    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(jì))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

    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(biāo))By the end of the lesson, students will be able to:1. Language Skill Objective(語言技能目標(biāo)): develop reading ability (skimming and scanning)as well as speaking ability.2. Cultural Knowledge Objective(文化知識(shí)目標(biāo)): know about the cultural differences of using body language.3. Affective Objective(情感目標(biāo)): increase students’ awareness of using body language correctly in different cultures. III.Teaching Focuses and Difficulties(教學(xué)重點(diǎn)和難點(diǎn))1. Teaching Focuses(教學(xué)重點(diǎn)): the difference and similarity of body language in many parts of the world.2. Teaching Difficulties(教學(xué)難點(diǎn)): 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1Anne's best friend說課稿

    人教版高中英語必修1Anne's best friend說課稿

    Step 7 Language points 1.Vocabulary (1) go through (2) set down (3) a series of (4) on purpose (5) in order to (6)at dusk (7)entirely (8)face to face 2.Important sentences (1)…I’ve grown so crazy about everything to do with nature. (2)There was a time when … (3)I stayed awake on purpose until … (4)It was the first time … that I’d seen the night … (5)It’s no pleasure looking through … Purpose: 1.Master the required vocabulary and sentence structures. 2.Use them freely. Step 8 Consolidation 1.Find out the topic sentences 2.Retell the text according to the topic sentences Purpose: I want to know if my students understand the text. Step 9 Discussion Imagine you have to go into hiding like Anne and her family, what would you miss most? Giveyour reasons. Purpose: Train Ss’ oral English ability. Step 10 Homework Write an article on Friends. Purpose: 1. Improve the Ss’ writing ability. 2 Train the Ss’ ability of self—teaching and looking up information by themselves. Part 5 Blackboard design(說板書設(shè)計(jì))Unit 1 Friendship Reading Anne’s Best Friend 1.Main idea of each paragraph: Para. 1 Anne made her diary her best friend. Para .2 Anne wrote her feelings in her diary. Para .3 Anne missed nature. Para.4 Anne saw the night face to face Para.5 Anne wanted to experience nature outdoors. 2.Listening: Exx.1 P3 3.Discussion: Exx.3 P3 Purpose: 1.Make Ss familiar with the passage 2.Make the design inductive, instructive and artistic.

  • 人教版高中英語必修1English around the world說課稿

    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(shí),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(zèng)給了博物館。The committee will present the final report to Parliament in June. 委員會(huì)將在六月向議會(huì)提交最后的報(bào)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(tuán)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

    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(jì))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.

  • 人教版高中語文必修3《愛的奉獻(xiàn) 學(xué)習(xí)議論中的記敘》說課稿

    人教版高中語文必修3《愛的奉獻(xiàn) 學(xué)習(xí)議論中的記敘》說課稿

    教學(xué)過程:(一)導(dǎo)入:課前放《愛的奉獻(xiàn)》歌曲,同時(shí)不斷播放一些有關(guān)“愛”的主題的圖片,渲染一種情感氛圍。師說:同學(xué)們,誰能說說這組圖片的主題應(yīng)該是什么?生(七嘴八舌):母愛,不對(duì)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(yīng)該是愛國……那徐本禹和感動(dòng)中國呢?…………生答:是關(guān)于愛的方面師說:不錯(cuò),是關(guān)于愛的方面。那么同學(xué)們,今天就以“愛的奉獻(xiàn)”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(gè)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(diǎn)形容詞,就更象了。眾人樂。師說:那么同學(xué)們誰能告訴我,為什么會(huì)出現(xiàn)這種問題?一生小聲說:還不是我們笨,不會(huì)寫。師說:不是笨,也不是不會(huì)寫,你們想為什么記敘文就會(huì)寫,一到議論文就不會(huì)了,那是因?yàn)橥瑢W(xué)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。

  • 高中思想政治人教版必修三《文化創(chuàng)新的途徑》說課稿

    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)

    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(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)選擇性必修二導(dǎo)數(shù)的概念及其幾何意義教學(xué)設(shè)計(jì)

    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(jì)

    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(shí)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(shí),都采用了由“平均變化率”逼近“瞬時(shí)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(duì)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(shí), 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(dāng)Δx→0時(shí),平均變化率ΔyΔx無限趨近于一個(gè)確定的值,即ΔyΔx有極限,則稱y=f (x)在x=x0處____,并把這個(gè)________叫做y=f (x)在x=x0處的導(dǎo)數(shù)(也稱為__________),記作f ′(x0)或________,即

  • 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)

    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)

  • 人教版高中數(shù)學(xué)選擇性必修二導(dǎo)數(shù)的四則運(yùn)算法則教學(xué)設(shè)計(jì)

    人教版高中數(shù)學(xué)選擇性必修二導(dǎo)數(shù)的四則運(yùn)算法則教學(xué)設(shè)計(jì)

    求函數(shù)的導(dǎo)數(shù)的策略(1)先區(qū)分函數(shù)的運(yùn)算特點(diǎn),即函數(shù)的和、差、積、商,再根據(jù)導(dǎo)數(shù)的運(yùn)算法則求導(dǎo)數(shù);(2)對(duì)于三個(gè)以上函數(shù)的積、商的導(dǎo)數(shù),依次轉(zhuǎn)化為“兩個(gè)”函數(shù)的積、商的導(dǎo)數(shù)計(jì)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(jìn)化費(fèi)用不斷增加,已知將1t水進(jìn)化到純凈度為x%所需費(fèi)用(單位:元),為c(x)=5284/(100-x) (80<x<100)求進(jìn)化到下列純凈度時(shí),所需進(jìn)化費(fèi)用的瞬時(shí)變化率:(1) 90% ;(2) 98%解:凈化費(fèi)用的瞬時(shí)變化率就是凈化費(fèi)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)列的前n項(xiàng)和公式   (1) 教學(xué)設(shè)計(jì)

    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 (1) 教學(xué)設(shè)計(jì)

    新知探究國際象棋起源于古代印度.相傳國王要獎(jiǎng)賞國際象棋的發(fā)明者,問他想要什么.發(fā)明者說:“請(qǐng)?jiān)谄灞P的第1個(gè)格子里放上1顆麥粒,第2個(gè)格子里放上2顆麥粒,第3個(gè)格子里放上4顆麥粒,依次類推,每個(gè)格子里放的麥粒都是前一個(gè)格子里放的麥粒數(shù)的2倍,直到第64個(gè)格子.請(qǐng)給我足夠的麥粒以實(shí)現(xiàn)上述要求.”國王覺得這個(gè)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(shí)現(xiàn)他的諾言.問題1:每個(gè)格子里放的麥粒數(shù)可以構(gòu)成一個(gè)數(shù)列,請(qǐng)判斷分析這個(gè)數(shù)列是否是等比數(shù)列?并寫出這個(gè)等比數(shù)列的通項(xiàng)公式.是等比數(shù)列,首項(xiàng)是1,公比是2,共64項(xiàng). 通項(xiàng)公式為〖a_n=2〗^(n-1)問題2:請(qǐng)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)選擇性必修二數(shù)列的概念(1)教學(xué)設(shè)計(jì)

    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)古語云:“勤學(xué)如春起之苗,不見其增,日有所長”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

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