第一篇：江蘇省常州市西夏墅中學(xué)高中英語(yǔ) Unit1 Advertising Reading教學(xué)設(shè)計(jì)2 牛津譯林版必修4

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元：Unit 1 Advertising

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塊：Reading 2 課堂設(shè)計(jì)指導(dǎo)思想：

本堂課是閱讀課的第二課時(shí)。本課旨在鞏固學(xué)生從文章中獲取的主要信息和對(duì)語(yǔ)篇的整體理解。在此基礎(chǔ)上，操練文章中的主要語(yǔ)言點(diǎn)。形式多樣的語(yǔ)言點(diǎn)操練過(guò)程既是學(xué)生學(xué)習(xí)語(yǔ)言知識(shí)的過(guò)程，更是訓(xùn)練學(xué)生聽說(shuō)讀寫技能的過(guò)程。本課語(yǔ)言點(diǎn)操練的重點(diǎn)是習(xí)慣用語(yǔ)和固定搭配，主要以聽說(shuō)的方式，在句子層面讓學(xué)生當(dāng)堂操練語(yǔ)言點(diǎn)，為綜合運(yùn)用英語(yǔ)打下基礎(chǔ)。

Teaching aims: 1.To get to grasp the usage of the main language items.2.To train listening, speaking, reading and writing skills by practicing the language items.Teaching procedures: Step 1 Revision Ask students to fill in the blanks with the first letters given.The short passage is a summary of the reading text which is closely related to advertisements.【設(shè)計(jì)說(shuō)明】讓學(xué)生根據(jù)所給首字母填空完成短文，可復(fù)習(xí)鞏固上一課時(shí)對(duì)文章的理解，并自然導(dǎo)入本課。

Step 2 Language focus List the main language items in the reading text and draw students’ attention to them.【設(shè)計(jì)說(shuō)明】列出主要語(yǔ)言點(diǎn)，讓學(xué)生清楚了解本堂語(yǔ)言操練課的重點(diǎn)所在。Step 3 Explanation and practice Explain the main usage of the listed language items and use different ways, such as sentence translation, multiple choices to help students to practice.【設(shè)計(jì)說(shuō)明】精講所列出的主要語(yǔ)言點(diǎn)，通過(guò)句子翻譯，選擇填空等方式幫助學(xué)生操練這些語(yǔ)言點(diǎn)，以達(dá)到逐步掌握其用法，并靈活運(yùn)用的目的。Step 4 Consolidation 1 Let students choose the right words and expressions to fill in the blanks with their proper forms.【設(shè)計(jì)說(shuō)明】這一練習(xí)形式可幫助學(xué)生在一定的語(yǔ)境中鞏固記憶文章中的短語(yǔ)和習(xí)慣用法，并有助于培養(yǎng)語(yǔ)感，有助于寫作能力的提高。Step 5 Consolidation 2

Ask students to search their memory for the words and expressions learnt in this section and complete the sentences.【設(shè)計(jì)說(shuō)明】再次鞏固語(yǔ)言要點(diǎn)，為綜合運(yùn)用鋪設(shè)道路。Step 6 Homework Let students finish A1 and A2 on Page 90, and write a short passage with the phrases we learnt in this lesson.【設(shè)計(jì)說(shuō)明】通過(guò)書后練習(xí)進(jìn)一步鞏固本課語(yǔ)言要點(diǎn)。書面表達(dá)練習(xí)要求學(xué)生靈活運(yùn)用所學(xué)語(yǔ)言點(diǎn)，有利于提高他們的寫作能力和綜合運(yùn)用能力。

第二篇：江蘇省常州市西夏墅中學(xué)高中英語(yǔ) Unit2 Language Reading教學(xué)設(shè)計(jì)2 牛津譯林版必修3（寫寫幫推薦）

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元：Unit 2 Language

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塊：Reading

課堂設(shè)計(jì)指導(dǎo)思想：

本課時(shí)為Reading理解過(guò)后的第二課時(shí)，著重于語(yǔ)言知識(shí)的講授，即我們常說(shuō)的語(yǔ)言點(diǎn)課。語(yǔ)言點(diǎn)的講解容易陷入枯燥的泥淖，要上得生動(dòng)需要藝術(shù)。而且，語(yǔ)言點(diǎn)的講解宜精不宜多，宜多練優(yōu)于多講，因?yàn)榱艘坏﹥?nèi)容過(guò)多，學(xué)生就會(huì)生吞活剝、囫圇吞棗無(wú)法消化；如果講得過(guò)多，學(xué)生沒(méi)有機(jī)會(huì)操練、體會(huì)、鞏固，就不可能真正地理解掌握；因此，不如精選精練，扎扎實(shí)實(shí)。本著這樣的設(shè)想，本節(jié)課的設(shè)計(jì)為語(yǔ)言點(diǎn)課安排了一個(gè)課時(shí)，選擇了課文中出現(xiàn)的十二個(gè)語(yǔ)言點(diǎn)，逐一講解，在句子層面進(jìn)行多方位練習(xí)，并在此基礎(chǔ)上要求學(xué)生在課后將所學(xué)知識(shí)運(yùn)用到語(yǔ)篇的寫作中。Teaching aims: 1.Do some revision of what have been learned in the last lesson.2.Acquire the usage of the language items in the text.3.Apply the language items into practical use.Teaching procedures: Step 1 Revision The teacher starts the lesson with a short revision of what have been learned in the previous lessons.This part consists of two activities—to match the words and their definitions and to fill in the blanks.【設(shè)計(jì)說(shuō)明】在課的一開始，設(shè)計(jì)了復(fù)習(xí)環(huán)節(jié)，優(yōu)勢(shì)有二：第一，幫助教師檢查學(xué)生對(duì)之前學(xué)習(xí)內(nèi)容的掌握，有利于教師及時(shí)了解教學(xué)對(duì)象的學(xué)習(xí)情況，了解教學(xué)的效果，在必要情況下，及時(shí)調(diào)整教學(xué)內(nèi)容和進(jìn)度，從而更好地為教學(xué)對(duì)象服務(wù)，以實(shí)現(xiàn)教學(xué)效果的提高；第二，傳遞有效學(xué)習(xí)策略的相關(guān)信息：復(fù)習(xí)是學(xué)習(xí)過(guò)程的一個(gè)重要環(huán)節(jié)，教師如果能常常有意設(shè)計(jì)復(fù)習(xí)活動(dòng)，提高學(xué)生及時(shí)復(fù)習(xí)的意識(shí)，培養(yǎng)他們良好的學(xué)習(xí)習(xí)慣，這將會(huì)讓學(xué)生終身受益。

Step 2 Presentation Present all the language items that should be coved in the following lesson.Ask the students to find them out in the text.【設(shè)計(jì)說(shuō)明】語(yǔ)言點(diǎn)的學(xué)習(xí)，要避免一味灌輸。在講述語(yǔ)言點(diǎn)時(shí)，首先應(yīng)該讓學(xué)生明確學(xué)習(xí)目標(biāo)，因此，在此處，教師將精選的詞匯率先呈現(xiàn)給學(xué)生，使學(xué)生的學(xué)習(xí)有計(jì)劃、有目的。Step 3 Discussion of the language items 1.be made up of make up 化妝，編造，彌補(bǔ) be made up of … 由……構(gòu)成 be made of … 由……制造 be made from...由……制造

She quickly made herself up and went out for the party.Don’t believe him.He made the whole story up.I must make up the lost time by extra work.1.My favorite salad is made of lettuce, tomatoes and cucumber.2.She made up a story to comfort her little daughter.3.Nylon is made from air, coal and water.4.The audience is made up of very young children.5.The toy cost a dollar and Ted only had fifty cents, so Father made up the difference.6.Society is made up of people with widely differing abilities.2.consist 1)組成，構(gòu)成 +of: A university consists of teachers, administrators and students.大學(xué)由教師,行政人員和學(xué)生組成。Our book consists of 3 units.我們的書有3單元。2)主要是，主要在于 +in Happiness consists in appreciating what you have.快樂(lè)就在于滿足所擁有的。3.contribute to 1)to help to lead to the result導(dǎo)致;Drink contributed to his death.酒造成了他的死亡。

2)捐(款);捐獻(xiàn),捐助(donate to)他將積蓄的一半捐獻(xiàn)給紅十字會(huì)。

He contributed half of his savings to the Red Cross.3)投(稿)[(+to)] 他給雜志投稿他的詩(shī)。

He contributed his poems to the magazine.3.control 1)V.控制；支配；管理；克制；抑制

She is skillful enough to control the machine.她已有了足夠的技術(shù)可以操縱這臺(tái)機(jī)器了。

The British government at that time controlled the island.當(dāng)時(shí)英國(guó)政府控制該島。

You must learn to control your temper.你必須學(xué)會(huì)克制著不發(fā)脾氣。2)n.支配；控制；調(diào)節(jié)；抑制 [(+of/over)] They have no control over him.他們控制不了他。

There must be someone who can take control of these naughty children.應(yīng)該有人能管住這些淘氣的孩子。Some more phrases: in control of … in the control of … be/ come/ bring/get under control under the control of … be/get out of control lose control of … The boy is no longer _in/under the control of_ his parents.Police at present lost control of the crowd.They asked for help.With the help of firefighters, they got the fire _under control_.Mum was angry to see her children out of control.Who do you let be in control of_ your class while you’re out? 4.replace vt.1)取代；以……代替 [(+with/by)] The brakes have to be replaced.剎車需要更換。

Electric lights have replaced candles.電燈已經(jīng)取代了蠟燭。2)把...放回(原處)She replaced the receiver.她將聽筒放了回去。3)歸還;償還

I will replace the cup I broke.我愿用一個(gè)新杯子賠還我打碎的一只。5.result in V.1)結(jié)果;導(dǎo)致(lead to)Carelessness resulted in lots of accidents.粗心造成大量交通事故。

2)result from(because of, due to)His failure resulted largely from his laziness.他的失敗主要是懶惰所致。His success C working hard.Too much cigarettes A hisdeaths.He had to take a taxi to work B the bad weather.A.result in B.as a result of C.results from D.as a result 6.raise vt./ n 1)The baby was raised on soybean milk.這孩子是用豆?jié){喂養(yǎng)大的。

2)The landlord raised my rent to $200.房東把租金提高到$ 200。3)They are going to raise money for the school buildings.他們將為蓋校舍籌集資金。

4)He raised his glass and said: “Your health, Carl.” 他舉起了杯子說(shuō)道:“祝你健康,卡爾。” 5)None of them raised any objection.他們誰(shuí)也沒(méi)提出反對(duì)意見。True or false: 1.Prices have been risen up.F raised 2.The sun raises in the east and sets in the west.F rises 3.Jack was raised by his aunt after his parents passed away.T 【設(shè)計(jì)說(shuō)明】逐一講解語(yǔ)言點(diǎn)，通過(guò)中英互譯、完成句子、改錯(cuò)、單選等多種形式進(jìn)行操練，增進(jìn)學(xué)生對(duì)這些語(yǔ)言點(diǎn)的理解掌握。

Step 5 Homework Make up a story using the expressions we have learned today.【設(shè)計(jì)說(shuō)明】課間的講解、操練仍然停留在句的層面，運(yùn)用所學(xué)表達(dá)至語(yǔ)篇雖是較高的要求，也是合理的要求。語(yǔ)言本身的存在就是在一定的Discourse中的，因此，語(yǔ)言點(diǎn)的教學(xué)也不應(yīng)該割裂與語(yǔ)篇的自然聯(lián)系。

第三篇：江蘇省常州市西夏墅中學(xué)高中數(shù)學(xué) 數(shù)列專題復(fù)習(xí)2 數(shù)列中的數(shù)學(xué)思想教學(xué)設(shè)計(jì) 蘇教版必修5

數(shù)列專題復(fù)習(xí)2——數(shù)列中的數(shù)學(xué)思想

教學(xué)目標(biāo)：

1．知識(shí)與技能：

能夠靈活運(yùn)用方程思想、化歸與轉(zhuǎn)化思想、函數(shù)思想對(duì)數(shù)列問(wèn)題進(jìn)行求解． 2．過(guò)程與方法：

使學(xué)生在已掌握的數(shù)列題型求解方法上進(jìn)一步提高解題水平，明確數(shù)列與數(shù)學(xué)思想的內(nèi)在聯(lián)系．

教學(xué)重點(diǎn)：

掌握數(shù)列題型中數(shù)學(xué)思想方法的應(yīng)用； 教學(xué)難點(diǎn)：

掌握數(shù)列題型中數(shù)學(xué)思想方法的應(yīng)用．

教學(xué)方法：

講練結(jié)合、自主探究．

教學(xué)過(guò)程：

一、問(wèn)題情境

問(wèn)題1．我們以前的學(xué)習(xí)中接觸過(guò)哪些數(shù)學(xué)思想方法？ 問(wèn)題2．前一段的數(shù)列學(xué)習(xí)中運(yùn)用了哪些數(shù)學(xué)思想方法？

二、學(xué)生活動(dòng)

1．?dāng)?shù)列中有方程思想、化歸與轉(zhuǎn)化思想、函數(shù)與數(shù)形結(jié)合思想． 2．討論并從習(xí)題中找出具體的題目中分別體現(xiàn)哪些思想方法．

三、建構(gòu)數(shù)學(xué)

引導(dǎo)學(xué)生自己總結(jié)出數(shù)學(xué)中幾種思想方法．

（一）數(shù)列中的方程思想：

等差數(shù)列有兩個(gè)基本量a1,d，等比數(shù)列有兩個(gè)基本量a1,q，等差與等比數(shù)列的兩個(gè)基本問(wèn)題an,Sn都可以用兩個(gè)基本量來(lái)表示，所以列出關(guān)于兩個(gè)關(guān)于基 本量的方程組來(lái)求解，這種方法又可稱為基本量法．

（二）數(shù)列中的化歸與轉(zhuǎn)化思想：

我們?cè)谔幚頂?shù)學(xué)問(wèn)題時(shí)，常常將待解決的問(wèn)題通過(guò)轉(zhuǎn)化，化歸成為一類我們比較熟悉問(wèn)題來(lái)解決．

（三）數(shù)列中的函數(shù)與數(shù)形結(jié)合思想：

數(shù)列是一種特殊的函數(shù)，數(shù)列的通項(xiàng)公式和前n項(xiàng)和公式都可以看成n的函數(shù)，特別是等差數(shù)列的通項(xiàng)公式可以看成是n的一次函數(shù)，而其求和公式可以看成是常數(shù)項(xiàng)為零的二次函數(shù)，因此許多數(shù)列問(wèn)題可以用函數(shù)的思想進(jìn)行分析，加以解決．

四、數(shù)學(xué)運(yùn)用

例1 在等比數(shù)列?an?中，如果a1?a2?40，a3?a4?60，那么a7?a8?.分析 以等比數(shù)列的首項(xiàng)a1和公比q為基本量列方程組求解，適當(dāng)運(yùn)用整體思想可使運(yùn)算簡(jiǎn)化.解 ??a1?a1q?40，32，?q?232?a1q?a1q?60．3a7?a8?a1q6?a1q7?a1q6(1?q)?40?()3?135．

2變式 已知等比數(shù)列?an?中前8項(xiàng)的和S8?30，前16項(xiàng)的和S16?150，求S20.解 設(shè)?an?的公比為q，當(dāng)q?1時(shí)，S8?8a1?30?a1?15，4S16?16a1?150?a1?75，故q?1.8?a1?1?q8???30?1?1?q? ??16?a1?1?q??150 ?2??1?q??1?得1?q8?5，?2??q8?4． 帶入（1）式可得?q4?2．a(chǎn)1??10，1?q 2 ?S20a11?q20a11?q4??1?q1?q???????310.5點(diǎn)評(píng) 解題過(guò)程中應(yīng)注意對(duì)等比數(shù)列中q?1這種特殊情況的討論.另外本題的求解需要有整體思想，即必須把

a11?q當(dāng)成一個(gè)整體來(lái)解.例2 已知數(shù)列?an?滿足an?1?2an?1，且a1?1，（1）證明數(shù)列?an?1?是等比數(shù)列；（2）求數(shù)列?an?的通項(xiàng)公式.解（1）令bn?an?1，故只需證?bn?是等比數(shù)列，bn?1b?an?1?12an?1?12?an?1?a?1?a?2，b1?a1?1?2，nn?1an?n?1?數(shù)列?bn?是以2為首項(xiàng)，2為公比的等比數(shù)列.即數(shù)列?an?1?是以2為首項(xiàng)，2為公比的等比數(shù)列.（2）bn?2?2n?1?2n，即an?1?2n，∴an?2n?1.變式 已知數(shù)列?an?的前n項(xiàng)和滿足Sn??an?n，且a1?12，（1）證明數(shù)列?an?1?是等比數(shù)列；（2）求數(shù)列?an?的前n項(xiàng)和Sn.解 S1n?1?Sn??an?1?n?1???an?n??an?1?2a1n?2 令bn?an?1，故只需證?bn?是等比數(shù)列，?1?bn?1b?a?1an???11a111?1na1??22?a?2n?2?an??2n?1??1，b?11?a1?1?n?n?1an?1an?122，∴數(shù)列?b1n?是以?2為首項(xiàng)，12為公比的等比數(shù)列.即數(shù)列?a11n?1?是以?2為首項(xiàng)，2為公比的等比數(shù)列.3

1?1?（2）bn?????2?2?n?11?1??1?????，即an?1???? ∴an?1?n.2?2??2?nnSn?a1?a2?a3???an1??1?1??1?????1????1?2???1?3?????1?n?

2222????????n1??1????1????2?1?1??2????111?n???2?3???n??n??n?1?n．12?2?2221?2例3 已知數(shù)列?an?是等差數(shù)列，數(shù)列?bn?是等比數(shù)列，其公比q?1，且bi?0y（i?1,2,3,?），若a1?b1，a11?b11,則a6與b6的大小關(guān)系為.分析（方法一）q?1?b1?b11，bi?0，所以a?a11b1?b11a6?1??b1b11?b62?b622．

（方法二）等差數(shù)列是定義在正整數(shù)集上的一次函數(shù)，等比數(shù)列（q?1）時(shí)是定義在正整數(shù)集上的指數(shù)函數(shù)．由a1?b1，a11?b11知

Ｏ

x

兩函數(shù)有兩個(gè)交點(diǎn)如圖，顯然a6?b6，而且當(dāng)1?n?11,n?N時(shí)都有an?bn，當(dāng)n?11時(shí)，an?bn.五、要點(diǎn)歸納與方法小結(jié)

1.數(shù)列中的方程思想：基本量法是通法，要注意運(yùn)算技巧.2.數(shù)列中的化學(xué)與轉(zhuǎn)化思想：將非等差等比問(wèn)題轉(zhuǎn)化為等差等比數(shù)列問(wèn)題求解是突破點(diǎn).3.數(shù)列中的函數(shù)與數(shù)形結(jié)合思想：構(gòu)造函數(shù)，用圖象輔助，能起到出奇制勝的效果.4

第四篇：2016學(xué)年江蘇省常州市西夏墅中學(xué)高二英語(yǔ)教案：unit1《 the written word 》reading 2(牛津版選修8)

牛津高中英語(yǔ)教學(xué)設(shè)計(jì)

單

元：Unit 1 The written word 板

塊：Reading 2

Thoughts on the design: 本教學(xué)方案分為四個(gè)部分，分別為revision、language points、consolidation與homework。

在“revision”環(huán)節(jié)，教師將要求學(xué)生復(fù)述上節(jié)課所學(xué)課文作為本課的開端，旨在一方面提高口語(yǔ)，激發(fā)其學(xué)習(xí)興趣；另一方面通過(guò)回顧上節(jié)課的內(nèi)容形成自然過(guò)渡，起到承上啟下的作用，為講新知識(shí)打下一個(gè)基礎(chǔ)。在“l(fā)anguage points”環(huán)節(jié)，教師將以兩步走的方式開展教學(xué)，其中滲透著PPT教學(xué)模式。第一步根據(jù)Krashen輸入假設(shè)理論的i+1原理，教師將引導(dǎo)學(xué)生利用已學(xué)知識(shí)進(jìn)行新語(yǔ)言點(diǎn)的習(xí)得，即“practice to present”；第二步，教師將引導(dǎo)學(xué)生根據(jù)第一步所學(xué)進(jìn)行相關(guān)練習(xí)，即“practice”。在完成學(xué)習(xí)的基礎(chǔ)上，學(xué)生將在“consolidation”環(huán)節(jié)對(duì)所學(xué)知識(shí)點(diǎn)進(jìn)行總結(jié)性練習(xí)，以達(dá)到鞏固的目的。

Teaching aims: 1.Encourage the students to raise reading ability by focusing on language points;2.Get the students to grasp the new language usage in the text by learning them.Procedures: Step 1 Revision 1.Think of a possible ending for the novel.2.Retell the story of Great Expectations.Step 2 Language points and use 1.Key words: Explanation(通過(guò)填詞的方式把關(guān)鍵詞挑出來(lái)講解和操練，見PPT 6-11。)Fill in the blanks first and then practise the uses of the key words.What is c_____ literature? C_______ are the a______ of the l_______ world, which 1

are still well received today.They are e_______ of great writing and wisdom.Many a__________ films are based on the classics.For example, in 1998, a modern a__________ of Charles Dickens’ novel Great Expectations, one of his best-known works, was released in cinemas.Great Expectations is s____ in England in the early 1800s.The main character in the novel is Pip.He lives with his mean sister and her kind and simple husband, Joe.It is a m_____ night when the story begins.Mist is a s_____ of danger which adds interest, t______ and deeper meaning to the text.Later in the story, Pip receives a large sum of money from a generous stranger, which is a twist in the p______.He uses the f________ to move to London.He settled there so he can become an e_______ gentleman, but he gradually develops the shortcomings of being shallow and being prejudiced against his old companions, because he has rigid ideas of what it means to be c_____ and to be a gentleman.What it means to be a gentleman is an important t_____ in Great Expectations.By the end of the story, Pip learns that w________ doesn’t buy happiness and that friends are more important than a fancy education.Practice: Fill in the following blanks using the given words.1.He likes _______ novels and Jane Austen’s novels are among the best-loved ________ in English literature.(classic)2.Though she is interested in ______, she is not a _______ writer.(literary)3.Michael _______ to the new job very well, which was beyond our expectations.The plot had to be changed a little bit since the film is an __________ of the book.(adapt)4.The girl and her best friend were both very ________ and nervous about the results of the examination.The argument over the game created ________ between the two of them.(tense)

2.Key phrases: Explanation(先翻譯關(guān)鍵詞組，再把重難點(diǎn)挑出來(lái)練，以此達(dá)到掌握的目的，見PPT 13-16。)

1.由??改編 2.在世界占一席之地 3.在架子上塵封 4.被改編成電影 5.每一次 6.肥皂劇 7.古典文學(xué) 8.出版

9.一心想要做?? 10.華而不實(shí)的教育

Comparison: at times/at one time/at a time/in time/in no time/at no time 1.We were ____________ for the train.2.__________ Chinese were regarded as Asian patients, but now we are strong enough to hold the Olympics.3.____________ will Chinese people bow(低頭)to huge difficulties even though we have suffered a lot.3.Key sentences: Explanation(把重點(diǎn)句和結(jié)構(gòu)挑出來(lái)講解再進(jìn)行練習(xí)，以此達(dá)到掌握句型的目的，見PPT 18-25。)1.His tomb reads, ‘By his death, one of England’s greatest writers is lost to the world.’

2.Pip’s sister seldom has a kind word to say, but Joe is a kind and simple man, who would rather die than see any harm come to Pip.3.He has rigid ideas of what it means to be civil and to be a gentleman, and is embarrassed by Joe because he does not fit these.Key sentence structures: 1.Why else would many films based on them be successful? 2.Pip dislikes it when Joe comes to visit him in London.Step 3 Consolidation：

Explanation(鞏固部分再一次通過(guò)填詞、詞組和翻譯的方式復(fù)習(xí)重點(diǎn)內(nèi)容。見PPT 27-29)

Fill in the blanks using the following phrases:(be lost to/be bent on/gather dust on the shelf/ come out /be adapted from)1.My guitar has just been _______________________ since I injured my hand.2.Many films ________________ classic works.3.A lot of new books _________ every day 4.By the death of Ba Jin, one of China’s greatest writers ____________ the world.5.He _________ winning at all costs.根據(jù)首字母提示完成下列句子：

1.Many people were g_______ enough to donate enough money to the people in the disaster regions.2.The play is an a_________ of a short novel.3.Ann’s uncle died suddenly, leaving all his f______ to her.4.He was v_____ about his looks, spending hours in the gym.5.Prisoners reported being regularly a______ by their guards.6.Keep a c_________ tongue in your head!Don’t speak rudely.7.The _____(曲折)in the plot is always the attraction to literature lovers.8.Parts of this school are in d__________ need of repair.Translation: 1.作為一位母親，她寧愿自己挨餓也不愿孩子受到任何的傷害。(would rather ? than ?/ come to)2.你這樣說(shuō)真有禮貌。(civil)

Step 4 Homework: 1.Memorize the words, phrases and sentences we learned today.2.Make up a short story using the given adjectives.

第五篇：江蘇省常州市西夏墅中學(xué)高中數(shù)學(xué) 2.3.1等比數(shù)列的概念教學(xué)設(shè)計(jì) 蘇教必修5

2.3.1 等比數(shù)列的概念

教學(xué)目標(biāo)：

1.體會(huì)等比數(shù)列是用來(lái)刻畫一類離散現(xiàn)象的重要數(shù)學(xué)模型，理解等比數(shù)列的概念． 2.利用等比數(shù)列解決實(shí)際問(wèn)題． 教學(xué)重點(diǎn)：

等比數(shù)列的概念． 教學(xué)難點(diǎn)：

理解等比數(shù)列“等比”的特點(diǎn)．可以通過(guò)與等差數(shù)列進(jìn)行類比來(lái)突破難點(diǎn)．

教學(xué)方法：

啟發(fā)式、討論式． 教學(xué)過(guò)程：

一、問(wèn)題情境

情境1：某種細(xì)胞，如果每個(gè)細(xì)胞每分鐘分裂為2個(gè)，那么每過(guò)1分鐘，1個(gè)細(xì)胞分裂的個(gè)數(shù)依次為

1,2,4,8,16，情境2：“一尺之棰，日取其半，萬(wàn)世不竭”的意思為：一尺長(zhǎng)的木棒，每日取其一半，永遠(yuǎn)也取不完．如果將“一尺之棰”視為1份，那么每日剩下的部分依次為

1111，，24816

情境3：某轎車的售價(jià)約為36萬(wàn)元，年折舊率約為10﹪（就是說(shuō)這輛車每年減少它的價(jià)值的10﹪），那么該車從購(gòu)買當(dāng)年算起，逐年的價(jià)值依次為 36,36?0.9,36?0.9,36?0.9,問(wèn)題：與等差數(shù)列相比，上面這些數(shù)列有什么特點(diǎn)？

二、學(xué)生活動(dòng) 通過(guò)觀察，發(fā)現(xiàn)：

1．上述數(shù)列的共同特征，從第2項(xiàng)起，每一項(xiàng)都與它的前一項(xiàng)的比等于同一個(gè)常數(shù)．而等差數(shù)列的特征是，從第2項(xiàng)起，每一項(xiàng)都與它的前一項(xiàng)的差等于同一個(gè)常數(shù)．

2．根據(jù)這一規(guī)律可以發(fā)現(xiàn)任何一項(xiàng)都可以找出來(lái)．

通過(guò)討論，得到這些問(wèn)題共同的特點(diǎn)是，每一項(xiàng)與它的前一項(xiàng)的比都等于同一個(gè)常數(shù)．

三、建構(gòu)教學(xué)

1.歸納總結(jié)，形成等比數(shù)列的概念：

一般地，如果一個(gè)數(shù)列從第2項(xiàng)起，每一項(xiàng)與它的前一項(xiàng)的比都等于同一個(gè)常數(shù)，那么這個(gè)數(shù)列就叫做等比數(shù)列，這個(gè)常數(shù)叫做等比數(shù)列的公比，公比通常用字母q表示．

2.符號(hào)記法，若數(shù)列?an?為等比數(shù)列，公比為q，則

an?q(n?2)． an?1問(wèn)題1：下列數(shù)列是否為等比數(shù)列，如果是，公比是多少？（1）1,1,1,1,1；（2）0,1,2,4,8；（3）1,?1111234，?,；（4）x,x,x,x． 24816問(wèn)題2：一個(gè)數(shù)列是等比數(shù)列，那么它的項(xiàng)和公比必須滿足什么條件？ 問(wèn)題3：當(dāng)?shù)缺葦?shù)列的公比為負(fù)數(shù)的時(shí)候，數(shù)列每一項(xiàng)有什么樣的特征？（學(xué)生討論回答）

答 問(wèn)題1中（1）、（3）是等比數(shù)列，公比分別是1和?等于0的時(shí)候是，等于0的時(shí)候不是．

問(wèn)題2中等比數(shù)列的每一項(xiàng)都不能為0，公比也不能等于0． 問(wèn)題3中項(xiàng)是呈正負(fù)交替出現(xiàn)，形成搖擺數(shù)列． 3.等比中項(xiàng)的概念．

若a,G,b成等比數(shù)列，那么G叫a和b的等比中項(xiàng)，且G2?ab,G??ab． 注：同號(hào)的兩個(gè)數(shù)才有等比中項(xiàng)，等比中項(xiàng)有兩個(gè)，它們互為相反數(shù)．

四、數(shù)學(xué)運(yùn)用 1.例題．

例2（1）在等比數(shù)列?an?中，是否有an?an?1an?1(n?2)？

21；（2）不是；（4）當(dāng)x不2（2）如果數(shù)列?an?中，對(duì)于任意的正整數(shù)?n?2?，都有an?an?1an?1，那

2么?an?一定成等比數(shù)列嗎？

引導(dǎo)學(xué)生利用課本P36例3的證明過(guò)程對(duì)等比數(shù)列進(jìn)行討論，只是要提醒學(xué)生等比數(shù)列 2 每一項(xiàng)均不為0．所以（2）不一定成立，只有在每一項(xiàng)均不為0的時(shí)候才成立．

總結(jié)判定數(shù)列是否是等比數(shù)列的兩個(gè)方法：定義法和等比中項(xiàng)法． 例3 已知等比數(shù)列?an?的首項(xiàng)為a1，公比為q．

（1）新數(shù)列an,an?1,an?2,?,a2,a1也是等比數(shù)列嗎？如果是，公比是多少？（2）依次取出數(shù)列?an?所有的奇數(shù)項(xiàng)，組成一個(gè)新數(shù)列，這個(gè)數(shù)列還是等 比數(shù)列嗎？如果是，它的首項(xiàng)和公比是多少？

（3）數(shù)列?can??c?0?是等比數(shù)列嗎？如果是，它的首項(xiàng)和公比是多少？ 引導(dǎo)學(xué)生討論，按照等比數(shù)列的定義，利用

an?q(n?2)判斷．歸納總結(jié)一般性的結(jié)論：an?1如果取出的項(xiàng)下標(biāo)成等差數(shù)列，按照原來(lái)的順序排列形成的新數(shù)列依然是等比數(shù)列，公比是qd（d為下標(biāo)成等差數(shù)列時(shí)的公差）

2.練習(xí)．

（1）已知下列數(shù)列是等比數(shù)列，請(qǐng)?jiān)诶ㄌ?hào)內(nèi)填上適當(dāng)?shù)臄?shù)：

①（），3,27； ②3，（），5； ③1，（），（），81． 8_．（2）直角三角形的三邊a,b,c成等比，c為斜邊，則sinA?__________（3）已知數(shù)列?an?滿足：lgan?3n?5，試用定義證明?an?是等比數(shù)列．

五、要點(diǎn)歸納與方法小結(jié)

1.了解等比數(shù)列的概念，形成與等差數(shù)列的一個(gè)對(duì)比； 2.對(duì)于等比數(shù)列的每一項(xiàng)均不為0要進(jìn)行討論； 3.證明一個(gè)數(shù)列是等比數(shù)列要用定義法證明，即

六、課外作業(yè)

課本練習(xí)P51第1，2，3，6題．

an?q?n?2?． an?1 3