三、說教學(xué)目標(biāo):根據(jù)教材特點(diǎn)、學(xué)生學(xué)情,結(jié)合單元的教學(xué)要求和本課特點(diǎn),我確定本節(jié)課的教學(xué)目標(biāo)為:1、語言建構(gòu)與運(yùn)用:把握小說主要內(nèi)容,梳理小說情節(jié)。2、思維發(fā)展與提升:鑒賞文本,品味人物形象,探究造成人物悲劇的社會(huì)根源。3、審美鑒賞與創(chuàng)造:分析祥林嫂人物形象,學(xué)習(xí)本文塑造人物形象的方法。4、文化傳承與理解:認(rèn)識(shí)封建禮教的罪惡,培養(yǎng)學(xué)生反封建意識(shí)及斗爭(zhēng)意識(shí),體會(huì)魯迅小說的社會(huì)批判性。四、說教學(xué)重難點(diǎn):教學(xué)重點(diǎn):分析祥林嫂的人物形象。教學(xué)難點(diǎn):體會(huì)次要人物身上的內(nèi)涵,探究造成人物悲劇的社會(huì)根源。五、說教法學(xué)法:教法:任務(wù)導(dǎo)向 啟發(fā)與點(diǎn)撥 講授學(xué)法:?jiǎn)栴}探究 小組合作 展示學(xué)習(xí)是自覺的能力,合作是團(tuán)隊(duì)的探究,通過指導(dǎo)自學(xué),小組學(xué)習(xí),提升合作學(xué)習(xí)的能力,讓學(xué)生掌握科學(xué)的學(xué)習(xí)方法,教法上,我充分遵從認(rèn)知規(guī)律和教學(xué)規(guī)律,尊重學(xué)生主體地位以學(xué)習(xí)任務(wù)為驅(qū)動(dòng),以情境創(chuàng)設(shè)為手段,啟
(二)整體感知(7分鐘) 讀—讀文見義“新課標(biāo)”要求要在語文教學(xué)中要突出整體感知。古人云:書讀百遍,其義自見。詩(shī)歌學(xué)習(xí)重在誦讀,高中語文新課標(biāo)對(duì)詩(shī)歌閱讀的要求是:加強(qiáng)誦讀涵泳,在誦讀涵泳中感受其思想、藝術(shù)魅力,獲得情感的體驗(yàn)、心靈的共鳴和精神的陶冶。初步感知:此環(huán)節(jié)先由學(xué)生跟著范讀閱讀《蜀道難》,解決字音字意等基本問題,根據(jù)學(xué)生的自我感覺完成最為感性的詩(shī)歌認(rèn)識(shí),直接而感性的閱讀,培養(yǎng)的是學(xué)生的自我語言感受。之后將利用幻燈片給學(xué)生展示蜀道各式各樣的圖片,讓學(xué)生直觀的感受蜀道之險(xiǎn),在此基礎(chǔ)上播放動(dòng)畫音頻,從而使學(xué)生深入理解詩(shī)歌情感,進(jìn)一步感受李白詩(shī)歌浪漫奇特的藝術(shù)風(fēng)格。(三)深入賞析(65分鐘) 探—探究鑒賞“新課標(biāo)”要求培養(yǎng)學(xué)生自主、合作、探究的精神?;谡w感知詩(shī)歌后,我將進(jìn)一步引導(dǎo)學(xué)生分析和鑒賞詩(shī)歌。首先,蘇格拉底說,教育不是灌輸,而是點(diǎn)燃火焰。
(3)夸張到極致的技巧: (學(xué)生尋找出詩(shī)歌中的夸張語句,談出感受)(4)多樣的詩(shī)歌意境: 為了表達(dá)主觀感受與目的的需要,詩(shī)歌中構(gòu)織不同的意境:高峻、宏偉、神奇、凄清、恐怖等各種意境均有描繪,而這些意境又統(tǒng)統(tǒng)表現(xiàn)一個(gè)“難”字。(5)神秘的傳說: “五丁開山”“太陽神回車”“子規(guī)哀啼”等傳說的出現(xiàn),使全詩(shī)籠罩一種神秘氣氛,也從另一個(gè)角度表現(xiàn)出了一個(gè)“難”字。九.課后探討本文主旨?xì)v來爭(zhēng)議不定,明確詩(shī)歌的主旨和情感。 我首先指導(dǎo)方法, “知人論世” 是評(píng)論文學(xué)作品的一種原則 。知人,就是了解作者其人及作者與作品的關(guān)系。論世,就是要了解作者所處的時(shí)代、環(huán)境。接著打出李白在長(zhǎng)安的介紹。說明李白躊躇滿志而來,卻受到權(quán)貴的忌恨,被放還鄉(xiāng)。接著打出唐玄宗時(shí)期的介紹,說明太平景象背后潛伏的危機(jī)。然后讓學(xué)生分組討論,本課的寫作意圖是什么?
8、板書裝在套子里的人別里科夫的形象——有形的套子套己——無形的套子套人第二課時(shí)合作探究:目標(biāo)挖掘主題及現(xiàn)實(shí)意義。問題設(shè)置,銜接上節(jié)課內(nèi)容,層層深入。1、結(jié)合上節(jié)課別里科夫的形象分析:他的思想被什么套住,其悲劇原因在哪?(根據(jù)人物形象的分析與社會(huì)背景的了解,直擊主題。)沙皇腐朽的專制統(tǒng)治套住了他的思想,沙皇的清規(guī)戒律使他不敢越雷池一步,所以他是受害者,但他的身份性格以及特定的社會(huì)環(huán)境,又讓他成為沙皇統(tǒng)治的捍衛(wèi)者。2、他戀愛的情節(jié)以及科瓦連科這兩個(gè)人物的塑造的意義?(從人物以及主題入手,推翻沙皇的腐朽反動(dòng)的統(tǒng)治,必須是每一個(gè)人都敢于打破套子,喚醒革新,更新觀念,拒絕腐朽。)別里科夫渴望打破束縛,也想革新,而科瓦連科兩個(gè)人物體現(xiàn)朝氣活潑,以及勇于打破常規(guī)束縛的勇氣,為革新升起了一片曙光。3、塑造別里科夫的手法,除了一般刻畫人物方法外,還有什么方法?
(六)說教學(xué)策略1.專題性海量的媒介信息必須加以選擇或者整合,以項(xiàng)目為依據(jù),進(jìn)行信息篩選,形成專題性閱讀與交流;培養(yǎng)學(xué)生對(duì)文本信息“化零為整”的能力,提升跨媒介閱讀與交流學(xué)習(xí)的充實(shí)感。2.情境化情境教學(xué)應(yīng)指向?qū)W生的應(yīng)用,建構(gòu)富有符合時(shí)代氣息的內(nèi)容,與生活經(jīng)驗(yàn)更加貼合,對(duì)學(xué)生的語言建構(gòu)與運(yùn)用有所提升,在情境中能夠有效地進(jìn)行交流。3.任務(wù)化以任務(wù)為導(dǎo)向的序列化學(xué)習(xí),可以為學(xué)生構(gòu)建學(xué)習(xí)路線圖、學(xué)習(xí)框架等具體任務(wù)引導(dǎo);或以跨媒介的認(rèn)識(shí)與應(yīng)用為任務(wù)的設(shè)置引導(dǎo);甚至以閱讀和交流作為序列化安排的實(shí)踐引導(dǎo)。4.整合性跨媒介閱讀與交流是結(jié)合線上線下的資源,形成新的“超媒介”,也能實(shí)現(xiàn)對(duì)信息進(jìn)行“深加工”,多種媒介的信息整合只為一個(gè)核心教學(xué)內(nèi)容服務(wù)。5.互文性語言文字是語文之生命,我們是立足于語言文字的探討,音樂、圖像、視頻等文本與傳統(tǒng)語言文字文本形成互文,觸發(fā)學(xué)生對(duì)學(xué)習(xí)內(nèi)容立體化和具體化的感悟,提升學(xué)生的審美能力。
Teaching Goal:1. General aims:Talk about recent past events2. Particular aims:A. Language Focus.Talk about recent past events and think of the past events.B. Language goalsHow was….?It was …What did …do over the weekend?C. Language structures:(1). How was your weekend? I was great. Pay attention to no form.(2). What did you do over the weekend? I played soccer. We went to the beach.D. Useful words and phrases:Words: was, did, went, beach, over, project, test, wasn’t, false, number, geography, spend, week, most, mixture, their, had, little, cook, read, saw, change, everyone, sit, sat, no, anythingPhrases: did one’s homework, played soccer, cleaned my room, went to the beach, played tennis, went to the movies, on Saturday morning, over the weekend, cook … for, what about, do some reading, have a party, talk show, go shoppingE. Grammar language:Present simple past tenseRegular and irregular verbsF. Learning strategies:Tour and holidaysG. Interdiscipinary:H. Emotion and manner:Teaching time: 5 periodsTeaching procedures:Period One教學(xué)步驟、時(shí)間 教師活動(dòng) 學(xué)生活動(dòng) 媒體應(yīng)用Step 1Free talk 3’ Ask some questions like:Who’s on duty today?What’s the weather like? Answer and talk about something.讓同學(xué)們回答下列問題1. Do you like weekend? (Let some students answer)It takes them three minutes to talk about the question.2. Why do you like weekend? (let the students answer) Most of the students like the weekend此時(shí)教師用漢語問:“在周末期間問你干了什么?這句話用英語這么回答?Let the students guess.At last the teacher give them right answer3. What did you do over the weekend?(板書、學(xué)習(xí))
所需要用到的句子:Who is that?That is Jack. I like him.Why do you like him?I like him because he is interesting.Task 4: 設(shè)計(jì)理想中的人類Step one: 設(shè)計(jì)理想中的人類的外貌。把全班同學(xué)分成若干小組,學(xué)生可以邊說邊在紙上畫出他們的模樣。Step two: 設(shè)計(jì)理想中人類的性格。學(xué)生們可以把那些能描述性格的單詞寫在圖畫的旁邊。Step three: 每組選出一名同學(xué),其他同組同學(xué)提問,他作簡(jiǎn)單回答,并說明原因。所需用到的句子:What does he or she look like?He or she ...What is he or she like?He or she is ...Why?Because ...Task 5: 挑戰(zhàn)性活動(dòng)調(diào)查性格是天生的還是后天形成的,讓每個(gè)同學(xué)回家去調(diào)查一下自己成長(zhǎng)過程中性格是否有變化,具體是怎樣的,為什么會(huì)這樣? Teaching Aims:1. Enable students to have a general understanding of how to talk about people's physical appearance.2. Enable students to tackle some essential vocabularies and patterns about describing people. Provide them with necessary skills and methods.3. Create various chances for students to describe the persons they're familiar with, such as classmates, family members, teachers, idols, etc.
教學(xué)過程Step 1: warming-up Sing a song---------“food and drink” Step 2: Revision1 Dictation2 Revise: What kind of noodles would you like?I’d like …What size bowl of noodles would you like?I’d like…Step 3: Presentation1 show pictures of food, ask students say the words.2 Students read the newspaper ad in 3a. Fill in blanks with words in the box. Then read the ad together, the teacher explains some difficult language points.3 Check the answers Step 4 PracticeAsk students to finish 3b in the same way according to 3a. Students read the short passage and fill in the blanks .At last, check the answers.Step 5 productionAsk students to write their own ad for dumplings, noodles, drinks, and other foods they know. Then ask students to read their partner’s ad. Then order food and drink from their partner.Step 6 Home workGroup work – make an ad about “food and drink”
三、教學(xué)建議第一課時(shí):1. Lead in (Vocabulary)A) Before class, teacher should collect some pictures of working places. For example: Bank, TV Station, Restaurant, Police Station, Hospital ...B) In class, show students the pictures (PowerPoint, OHP). Ask students to tell the name of the working places and the name of the jobs.Shop assistant, doctor, actor, reporter, police office, waiter, bank clerk, studentC) Do exercise 1a and 3a.2. Bingo GameAsk groups of students to make up pairs of cards with a job on one and the related workplace on the other. For example, waiter / restaurant, teacher / school, doctor / hospital. Encourage students to use both the job / workplace combinations in the book and the ones that students came up during class discussions. Be sure they have twice as many sets of cards as there are students in the group. They can make two sets of cards for a single job / workplace, if necessary. Then have each group mix up its set of cards and hand their cards out in random order. Each time a student gets a pair of cards that match, he or she can lay these cards down. The goal is to have no cards in your hand at the end.3. Task OneA) Ask students to work in pairs and ask the partner what does he / she want to be in the future.e. g. :What do you / does he / does she want to be?I want to be a.Why?Because it's (adj).B) Vocabulary: Section B, 1a4. Homework 1.2.
1 Each group choose one place to describe and what you are doing in it Choose one place, and describe what they are doing 2 Move around the room and give suggestions Talk about it and write it down 3 Ask one to show their works and act it Choose one of each group to make a report 4 Evaluate the best group and the best reporter Choose the best one Homework Ask your friends their ideal place and write about it教學(xué)反思:新課程標(biāo)準(zhǔn)中強(qiáng)調(diào)學(xué)生在課堂中的主體地位,在綜合課中他們的主體地位就更加突出。在各個(gè)活動(dòng)中給不同程度的學(xué)生不同層次的任務(wù),讓各層面的學(xué)生都有表現(xiàn)發(fā)揮的機(jī)會(huì),從而產(chǎn)生對(duì)英語的興趣。使用照片圖片多媒體來輔助教學(xué),效果更好。同時(shí)讓了解其他國(guó)家風(fēng)景,風(fēng)俗的同學(xué)介紹ideal place,增加學(xué)生的背景知知識(shí),實(shí)現(xiàn)跨學(xué)科交流的目的。教案點(diǎn)評(píng):采用任務(wù)型教學(xué)模式,在各個(gè)活動(dòng)中給不同程度的學(xué)生不同層次的任務(wù),讓各層面的學(xué)生都有表現(xiàn)發(fā)揮的機(jī)會(huì),從而產(chǎn)生對(duì)英語的興趣。使用照片圖片多媒體來輔助教學(xué),效果更好。讓了解其他國(guó)家風(fēng)景,風(fēng)俗的同學(xué)介紹ideal place,增加學(xué)生的背景知識(shí),實(shí)現(xiàn)跨學(xué)科交流的目的。
2.1Match the country with the language.Step II Reading3a? let the students read the letter fast and answer the questions.? Let the students ask more questions about the letter as possible as the can.Step III Writing3b.Step IV. Pairwork2cStep V Listening2a, 2bStep V. HomeworkExercises book(1) P3Exercises book (2) P3Period FourStep I . Dictate the words and sentences in Unit1.Step II. Self-checkStep III. Check the answers for Exercises book in the unit.Step IV. Home workRevise and preparation for unit 2.教學(xué)反思:通過本單元的學(xué)習(xí),學(xué)生基本可以談?wù)撊藗兊膰?guó)籍,居住城市及其所說的語言,通過書信方式去介紹自己并尋找筆友。但在涉及到國(guó)外的一些城市時(shí),學(xué)生對(duì)這方面的知識(shí)相對(duì)欠缺,能介紹的城市并不多,也反應(yīng)出學(xué)生課前預(yù)習(xí)不充分,這跟學(xué)生學(xué)習(xí)條件也有關(guān),大多數(shù)學(xué)生無法通過網(wǎng)絡(luò)獲取所需信息。因此,在以后的教學(xué)中要多指導(dǎo)學(xué)生通過計(jì)算機(jī)網(wǎng)絡(luò)獲取信息,拓寬知識(shí)面。
句型: Where did you go on vacation? I went to summer camp.Did she go to Central Park?Yes,she did.No, she didn’t語法:一般過去時(shí)特殊疑問句、一般疑問句及肯、否定回答。課時(shí)安排4課時(shí)第一課時(shí):Section A:la,1b,lc,2a,2b,2c 第二課時(shí):Section A:3a,3b,4第三課時(shí):Section B:1,2a,2b,2c第四課時(shí):Section B:3a,3b,3c,4 and Self Check第一課時(shí)教學(xué)目標(biāo)掌握描寫假期生活的形容詞。假期里自己所做事情的簡(jiǎn)單表達(dá)。談?wù)摷倨谧龅氖虑榧爱?dāng)時(shí)情況。談?wù)摷倨跁r(shí)旅游的天氣,旅游者以及食物等。教學(xué)過程一、導(dǎo)入播放一首英文歌曲:Let’s travel 說明:通過讓學(xué)生聽節(jié)奏歡快迪斯尼英語歌曲Let’s travel.引入本節(jié)課談?wù)摰脑掝}vacation and travel. 讓歌曲使學(xué)生的思維活躍,增強(qiáng)課堂氣氛,激發(fā)學(xué)生提高學(xué)習(xí)英語的興趣。T:How is the trip ?Ss : It’s pretty good/ happy/exciting /relaxing/busy/dangerous/ fantastic說明:這個(gè)問題是為了操練形容詞。建議讓多個(gè)Ss作答。鼓勵(lì)他們用不同的形容詞。上述個(gè)別形容詞本應(yīng)在第二課時(shí)中出現(xiàn),但可以在warming-up中第一次非正式出現(xiàn)。這些形容詞也可在老師的評(píng)價(jià)語中適時(shí)出現(xiàn),以加深學(xué)生對(duì)詞匯的印象。
單元整體說明(一)單元教材分析本單元的核心話題是描述動(dòng)物和表達(dá)個(gè)人喜好,以及句式why do you like…? Because…。這也是本單元的教學(xué)重點(diǎn)。通過本單元的學(xué)習(xí),學(xué)生應(yīng)能較流利地運(yùn)用所學(xué)詞匯和句型描述動(dòng)物,表達(dá)個(gè)人喜好。(二)單元知識(shí)結(jié)構(gòu)1.詞匯動(dòng)物名稱 tiger, elephant, koala, dolphin, etc.詞匯描述性形容詞: smart, cute, ugly, clever, shy, etc.國(guó)家名: Australia, South Africa2.句型Why do you like koala hears? Because they are cute.Where are pandas from? They're from China.What animals do you like? I like dolphins.(三)單元整體目標(biāo)1.Master the vocabulary2.Master and use: Why do you like koalas? Because they am cute.Where are pandas from? They're from China.What animals do you like? I like dolphins.(四)單元教學(xué)重難點(diǎn)一覽(五)單元學(xué)情分析學(xué)生此前已經(jīng)學(xué)過由why, where, what 引導(dǎo)的特殊疑問句句型,具有了學(xué)習(xí)本單元知識(shí)的認(rèn)知前提。形形色色的動(dòng)物能激發(fā)學(xué)生的好奇心,產(chǎn)生了解它們的欲望,這有利于本單元知識(shí)的教學(xué)和學(xué)生學(xué)習(xí)興趣的培養(yǎng)。
Period 2 (3a----Section B 2c)Preview(Pre-task): Key points: What laAdd another information about their pen pals----their language on the cardnguage does she/he speak?She/He speaks....Does she/he have any brothers and sisters? Does she/he speak English?Preview(Pre-task): Add another information about their pen pals----their language on the cardKey points: What language does she/he speak?She/He speaks....Does she/he have any brothers and sisters? Does she/he speak English?Step 1 Revision1.Revisionand dictation of the new words 2.Revise the drills they learned yesterday.(by pairwork and grammar exercise)Step 2 Leading-inT has a conversation with one student. The conversation is following:---Do you have a pen pal?---Yes, I do.---What's your pen pal's name? ---His/Her name is....---Where is your pen pal from? ---He/She is from...---Where does he/she live? ---He/She lives in....---What language does he/she speak?He/She speaks...Write the new words on the Bb. They are following: EnglishChineseJapaneseFrenchStep 3 LearnLearn the new words with the whole class.Finish 3a with the students3b Pairwork T still does an example with one student Then the Ss practise in pairs. The example is following:--Curry Muray is my pen pal. He is from the United States.---What language does he speak?
Don’t fight. =You can’t fight. (板書,教讀)教師把這些句子板書在黑板上,并請(qǐng)學(xué)生大聲整齊地讀祈使句和“can’t”句型,并讓學(xué)生注意兩種句型表達(dá)形式的不同和轉(zhuǎn)換,“Don’t …=You can’t…”;并對(duì)學(xué)生說:These are our school rules. (板書,教讀) You can’t break the school rules. Don’t break the school rules.(板書,教讀)步驟3 :Practicea. T: Now, each of the students is breaking one of these rules.Please finish 1a.學(xué)生看圖,完成1a的內(nèi)容,檢查答案并大聲朗讀校規(guī)。b. 聽錄音,完成1b,選出四位學(xué)生都違反了哪條校規(guī);聽之前,學(xué)生要讀會(huì)英文名。c. 請(qǐng)兩位學(xué)生朗讀1c部分的句型;要求學(xué)生兩人一組對(duì)話表演,SA扮演外校轉(zhuǎn)來新生,SB告知本校校規(guī)。(學(xué)生可經(jīng)過討論,多說出他們想到的校規(guī),不必只限于書上;教師應(yīng)給予幫助)2) 第二課時(shí)(2a~4)步驟1 :warming up of revisionT: What are the rules at your school?學(xué)生使用“can”或祈使句表達(dá)各條校規(guī);其中老師可引出“eat in the cafeteria outside”的表達(dá)。步驟2 :Practicea.T: Christina is an exchange student. She doesn’t know the rules. Let’s listen, what activities they’re talking about?學(xué)生聽第一遍時(shí),完成2a;第二遍時(shí),完成2b;b. 請(qǐng)學(xué)生領(lǐng)讀2c部分,看著2a完成的表格,理解2c活動(dòng)的要求;分成小組針對(duì)2a進(jìn)行問答;
五、教學(xué)Section B-2c1. Pair work: What do you think of the belt/sunglasses/…? What does your father/mother/… think of your scarf/belt…?2. Group work(1). Teacher shows some different kinds of school uniforms (制服)and asks : “ What do you think of your school uniforms? If you have a chance to choose your school uniforms, what kind would you like to choose?”(2). Discuss in groups.(3).Get some Ss to report in class.說明:這一步旨在讓學(xué)生運(yùn)用已有的語言知識(shí)談?wù)搶?duì)事物的看法和意見,并簡(jiǎn)單闡明理由,培養(yǎng)學(xué)生的主動(dòng)思維能力和運(yùn)用英語的能力。六、教學(xué)拓展調(diào)查電視節(jié)目的收視率任務(wù):調(diào)查你周圍的人對(duì)現(xiàn)在各種電視節(jié)目的反響?;顒?dòng)過程:1.教師布置任務(wù),讓學(xué)生調(diào)查周圍的人(包括他的親戚朋友和鄰居)喜歡收看哪方面的電視節(jié)目。2.學(xué)生進(jìn)行調(diào)查活動(dòng),運(yùn)用本單元所學(xué)的句型What do you think of….? (Why?)What's your favorite game shows?What do you think of talk show?I doesn’t mind it.I like it.I love it.I can’t stand it.3.記錄下排在前10位的TV Program,填寫調(diào)查表,比較其收視率。
②積極參與國(guó)家事務(wù)和社會(huì)事務(wù)的管理③在享有勞動(dòng)權(quán)利的同時(shí),也履行了勞動(dòng)的義務(wù)④既獲得了勞動(dòng)報(bào)酬,也為國(guó)家和社會(huì)作出了貢獻(xiàn) A.①② B.②③ C.①④ D.③④11.2020 年 6 月 19 日,國(guó)家林業(yè)和草原局、農(nóng)業(yè)農(nóng)村部發(fā)布通知,就《國(guó)家重點(diǎn) 保護(hù)野生動(dòng)物名錄》公開征求意見。畫眉、啄木鳥、田螺等被增列入名錄中,55 個(gè)鯨豚類和猛禽類等物種保護(hù)等級(jí)升級(jí)。作為中學(xué)生,保護(hù)野生動(dòng)物是:( ) A.法律禁止做的,我們堅(jiān)決不做 B.法律要求做的,我們必須去做C.道德要求做的,我們積極去做 D. 自覺自愿行為,可做也可不做 12.遇到交通肇事,不按照正常程序處理,而是采取極端的方式解決。陜西省榆 林市公安局榆陽分局鎮(zhèn)川派出所,對(duì)涉嫌非法入侵他人住宅的 5 名嫌疑人刑拘。 這表明:( )①公民的住宅不受侵犯②禁止非法搜查或者非法侵入公民的住宅③公民權(quán)利如果受到損害,要懂得依照法定程序維護(hù)權(quán)利④我們?cè)谛惺棺杂珊蜋?quán)利的時(shí)候,不得損害其他公民的合法的自由和權(quán)利
(3)分解因式:1+x+x(x+1)+x(x+1)2+…+x(x+1)n(n為正整數(shù)).解析:(1)根據(jù)已知計(jì)算過程直接得出因式分解的方法即可;(2)根據(jù)已知分解因式的方法可以得出答案;(3)由(1)中計(jì)算發(fā)現(xiàn)規(guī)律進(jìn)而得出答案.解:(1)因式分解的方法是提公因式法,共應(yīng)用了3次;(2)分解因式1+x+x(x+1)+x(x+1)2+…+x(x+1)2015,需應(yīng)用上述方法2016次,結(jié)果是(1+x)2015;(3)1+x+x(x+1)+x(x+1)2+…+x(x+1)n=(1+x)n+1.方法總結(jié):解決此類問題需要認(rèn)真閱讀,理解題意,根據(jù)已知得出分解因式的規(guī)律是解題關(guān)鍵.三、板書設(shè)計(jì)1.提公因式分解因式的一般步驟:(1)觀察;(2)適當(dāng)變形;(3)確定公因式;(4)提取公因式.2.提公因式法因式分解的應(yīng)用本課時(shí)是在上一課時(shí)的基礎(chǔ)上進(jìn)行的拓展延伸,在教學(xué)時(shí)要給學(xué)生足夠主動(dòng)權(quán)和思考空間,突出學(xué)生在課堂上的主體地位,引導(dǎo)和鼓勵(lì)學(xué)生自主探究,在培養(yǎng)學(xué)生創(chuàng)新能力的同時(shí)提高學(xué)生的邏輯思維能力.
【類型二】 根據(jù)不等式的變形確定字母的取值范圍如果不等式(a+1)x<a+1可變形為x>1,那么a必須滿足________.解析:根據(jù)不等式的基本性質(zhì)可判斷a+1為負(fù)數(shù),即a+1<0,可得a<-1.方法總結(jié):只有當(dāng)不等式的兩邊都乘(或除以)一個(gè)負(fù)數(shù)時(shí),不等號(hào)的方向才改變.三、板書設(shè)計(jì)1.不等式的基本性質(zhì)性質(zhì)1:不等式的兩邊都加上(或減去)同一個(gè)整式,不等號(hào)的方向不變;性質(zhì)2:不等式的兩邊都乘(或除以)同一個(gè)正數(shù),不等號(hào)的方向不變;性質(zhì)3:不等式的兩邊都乘(或除以)同一個(gè)負(fù)數(shù),不等號(hào)方向改變.2.把不等式化成“x>a”或“x<a”的形式“移項(xiàng)”依據(jù):不等式的基本性質(zhì)1;“將未知數(shù)系數(shù)化為1”的依據(jù):不等式的基本性質(zhì)2、3.本節(jié)課學(xué)習(xí)不等式的基本性質(zhì),在學(xué)習(xí)過程中,可與等式的基本性質(zhì)進(jìn)行類比,在運(yùn)用性質(zhì)進(jìn)行變形時(shí),要注意不等號(hào)的方向是否發(fā)生改變;課堂教學(xué)時(shí),鼓勵(lì)學(xué)生大膽質(zhì)疑,通過練習(xí)中易出現(xiàn)的錯(cuò)誤,引導(dǎo)學(xué)生歸納總結(jié),提升學(xué)生的自主探究能力.
方法總結(jié):解題的關(guān)鍵是由題意列出不等式求出這個(gè)少算的內(nèi)角的取值范圍.探究點(diǎn)二:多邊形的外角和定理【類型一】 已知各相等外角的度數(shù),求多邊形的邊數(shù)正多邊形的一個(gè)外角等于36°,則該多邊形是正()A.八邊形 B.九邊形C.十邊形 D.十一邊形解析:正多邊形的邊數(shù)為360°÷36°=10,則這個(gè)多邊形是正十邊形.故選C.方法總結(jié):如果已知正多邊形的一個(gè)外角,求邊數(shù)可直接利用外角和除以這個(gè)角即可.【類型二】 多邊形內(nèi)角和與外角和的綜合運(yùn)用一個(gè)多邊形的內(nèi)角和與外角和的和為540°,則它是()A.五邊形 B.四邊形C.三角形 D.不能確定解析:設(shè)這個(gè)多邊形的邊數(shù)為n,則依題意可得(n-2)×180°+360°=540°,解得n=3,∴這個(gè)多邊形是三角形.故選C.方法總結(jié):熟練掌握多邊形的內(nèi)角和定理及外角和定理,解題的關(guān)鍵是由已知等量關(guān)系列出方程從而解決問題.