
三、說教法只有當(dāng)教師既在思想上把學(xué)生當(dāng)成真正的學(xué)習(xí)主體,又在課堂教學(xué)過程中始終把學(xué)生當(dāng)做學(xué)習(xí)的主人,教學(xué)目標(biāo)才能實(shí)現(xiàn),教學(xué)效率和效益才可能提高。因此課堂上加強(qiáng)對(duì)學(xué)生學(xué)習(xí)策略的指導(dǎo)是非常重要的,要使課堂教學(xué)過程成為師生共同參與,相互作用與反饋,創(chuàng)造性地實(shí)現(xiàn)教學(xué)目標(biāo)的過程。另外,結(jié)合本節(jié)課內(nèi)容特點(diǎn),我還確立了“任務(wù)型”教學(xué)模式,并配合情景教學(xué)來實(shí)現(xiàn)教學(xué)目標(biāo)。四、說學(xué)法課程標(biāo)準(zhǔn)倡導(dǎo):教學(xué)要著眼于學(xué)生的全面成長(zhǎng),促進(jìn)學(xué)生認(rèn)知、情感、態(tài)度與技能等方面的和諧發(fā)展,著眼于學(xué)生潛能的喚醒,開掘與提升,促進(jìn)學(xué)生的自主發(fā)展;關(guān)注學(xué)生的生活世界和學(xué)生的獨(dú)特需要的有機(jī)結(jié)合,促進(jìn)學(xué)生有個(gè)性,有特色的發(fā)展,關(guān)注學(xué)生的終身學(xué)習(xí)的愿望和能力的形成,促進(jìn)學(xué)生特性發(fā)展。因此我確定本節(jié)課學(xué)習(xí)策略是:1、積極調(diào)動(dòng)學(xué)生參與的積極性,指導(dǎo)學(xué)生感知,體驗(yàn)參與和合作。2、通過閱讀,獲取信息,并能回答相關(guān)問題。3、善于發(fā)現(xiàn)總結(jié)或把知識(shí)歸類,按一定語言規(guī)律加以運(yùn)用。

[設(shè)計(jì)意圖: 該環(huán)節(jié)可讓學(xué)生展示自我,拓寬運(yùn)用英語能力,把所學(xué)的知識(shí)在實(shí)際交流中進(jìn)行運(yùn)用,實(shí)現(xiàn)新課程倡導(dǎo)的“為用而學(xué), 在用中學(xué),學(xué)了就用”,從而提高學(xué)生綜合運(yùn)用英語的能力。選擇母親節(jié)來臨為母親選擇禮物這一話題也是借此機(jī)會(huì)對(duì)學(xué)生進(jìn)行感恩教育,并在學(xué)生的熱烈討論中告訴學(xué)生gift can’t be everything, everything can be a gift.使學(xué)生的情感得到升華。] Step9 Summary T: What have we learned in this class? Presents/ Gifts Comments Suggestions Album----special Why don’t you … Bicycle----useful Why not … +V原形 Calendar----interesting How about … Scarf----personal What about … +V-ing/ 名詞 [設(shè)計(jì)意圖:此環(huán)節(jié)的設(shè)計(jì),有助于理清脈絡(luò),進(jìn)一步鞏固所學(xué)知識(shí)。] Step10 Homework 1. listen to 1b (do 1b and imitate ) 2. Write down your dialogue 3. Surf the internet about the differences of gift giving between China and foreign countries. [設(shè)計(jì)意圖:作業(yè)1聽力,由于1b聽力和后面的2a相似,所以課堂上不再重復(fù)做,將其留做課后作業(yè),上課下課時(shí)刻關(guān)注學(xué)生聽力能力的培養(yǎng)和訓(xùn)練。2是將學(xué)生課堂上的說落實(shí)到課后的寫。3是讓學(xué)生通過自主學(xué)習(xí),了解中西方文化的差異。分層次布置作業(yè),體現(xiàn)出因材施教的教學(xué)理念。]

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))

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。

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;

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。

"Hello! Welcome to English class! Introduce yourself. Meet your new classmates." That's what the teacher says. What do you say? "Oh no!" It can be difficult talking to new people. But it can be fun, and you can make friends. How do you do it? Make small talk. Small talk is polite conversation. "Wang Nan is a great pingpang player, isn't she?" "I'd love to meet her, wouldn't you?" "It's been raining a lot, hasn't it?" Tag questions are a form of polite speech. To make small talk successfully, you should know how to make them. You should also know what topics to talk about. Try to learn this unit carefully. The next time you're in English class, you'll find out. Making small talk's easy, isn't it? (“你好!歡迎你!請(qǐng)做一下自我介紹。認(rèn)識(shí)一下你的新同學(xué)。”通常在課上老師會(huì)這樣說。你會(huì)說什么呢?“噢,不!”與陌生人談話太困難了。但是這也很有意思,并且你還能交到朋友。你該怎么做呢?閑聊。閑聊指得是禮貌的對(duì)話?!巴蹰且粋€(gè)很棒的乒乓球運(yùn)動(dòng)員,不是嗎?”“我希望自己能認(rèn)識(shí)她,你呢?“今年的雨水很多,不是嗎?”反意疑問句是一種禮貌用語。為了使得談話成功,你應(yīng)該知道怎樣去進(jìn)行閑聊。你還應(yīng)該知道與不同的人該談?wù)撌裁礃拥脑掝}。認(rèn)真的學(xué)習(xí)這個(gè)單元吧,下次在英語課上,你會(huì)發(fā)現(xiàn)與大家展開談話是一件很容易的事情,不信我們來試試。)

This activity introduces some new vocabulary and provide oral practice using the target language.Task 1 . Ask four students to stand in front of the class, and the teacher asks them the following questions as a reporter.1.What are you going to do when you grow up?2.What are you going to do next week?3.What are going to do after school?The students will give different answers, then ask a good student to report what they said.I am going to e a doctor.What did she say?----------She said she was going to be a doctor.I am going to have a party on Friday night.What did he say?-------He said he was going to have a party on Friday night.I am going to do my homework.What did she say ?------ She said she was going to do her homework.I am going home after school.What did she say?-----She said she was going home after school.Say In this unit we are going to learn to use words like to report what someone said.Task 2. Read the instructions. Then ask a student to read the four questions. And write the words on the Bb. Explain what soap opera is.Task 3. Ask the students to Look at the pictures, point out the TV screens in the picture. Ask one girl to read what Marcia said.What did Marcia say? She said She said she was having a surprise party for Lana on Friday night. Repeat the other pictures in the same way.Activity3. Listen and number the pictures in activity 1a.

解:∵四邊形ABCD是矩形,∴AD∥BC,∠A=90°,∴∠2=∠3.又由折疊知△BC′D≌△BCD,∴∠1=∠2.∴∠1=∠3.∴BE=DE.設(shè)BE=DE=x,則AE=8-x.∵在Rt△ABE中,AB2+AE2=BE2,∴42+(8-x)2=x2.解得x=5,即DE=5.∴S△BED=12DE·AB=12×5×4=10.方法總結(jié):矩形的折疊問題是常見的問題,本題的易錯(cuò)點(diǎn)是對(duì)△BED是等腰三角形認(rèn)識(shí)不足,解題的關(guān)鍵是對(duì)折疊后的幾何形狀要有一個(gè)正確的分析.三、板書設(shè)計(jì)矩形矩形的定義:有一個(gè)角是直角的平行四邊形 叫做矩形矩形的性質(zhì)四個(gè)角都是直角兩組對(duì)邊分別平行且相等對(duì)角線互相平分且相等經(jīng)歷矩形的概念和性質(zhì)的探索過程,把握平行四邊形的演變過程,遷移到矩形的概念與性質(zhì)上來,明確矩形是特殊的平行四邊形.培養(yǎng)學(xué)生的推理能力以及自主合作精神,掌握幾何思維方法,體會(huì)邏輯推理的思維價(jià)值.

在△AEF和△DEC中,∠AFE=∠DCE,∠AEF=∠DEC,AE=DE,∴△AEF≌△DEC(AAS),∴AF=DC.∵AF=BD,∴BD=DC;(2)當(dāng)△ABC滿足AB=AC時(shí),四邊形AFBD是矩形.理由如下:∵AF∥BD,AF=BD,∴四邊形AFBD是平行四邊形.∴AB=AC,BD=DC,∴∠ADB=90°.∴四邊形AFBD是矩形.方法總結(jié):本題綜合考查了矩形和全等三角形的判定方法,明確有一個(gè)角是直角的平行四邊形是矩形是解本題的關(guān)鍵.三、板書設(shè)計(jì)矩形的判定對(duì)角線相等的平行四邊形是矩形三個(gè)角是直角的四邊形是矩形有一個(gè)角是直角的平行四邊形是矩形(定義)通過探索與交流,得出矩形的判定定理,使學(xué)生親身經(jīng)歷知識(shí)的發(fā)生過程,并會(huì)運(yùn)用定理解決相關(guān)問題.通過開放式命題,嘗試從不同角度尋求解決問題的方法.通過動(dòng)手實(shí)踐、合作探索、小組交流,培養(yǎng)學(xué)生的邏輯推理能力.

方法三:一個(gè)同學(xué)先畫兩條等長(zhǎng)的線段AB、AD,然后分別以B、D為圓心,AB為半徑畫弧,得到兩弧的交點(diǎn)C,連接BC、CD,就得到了一個(gè)四邊形,猜一猜,這是什么四邊形?請(qǐng)你畫一畫。通過探究,得到: 的四邊形是菱形。證明上述結(jié)論:三、例題鞏固課本6頁(yè)例2 四、課堂檢測(cè)1、下列判別錯(cuò)誤的是( )A.對(duì)角線互相垂直,平分的四邊形是菱形. B、對(duì)角線互相垂直的平行四邊形是菱形C.有一條對(duì)角線平分一組對(duì)角的四邊形是菱形. D.鄰邊相等的平行四邊形是菱形.2、下列條件中,可以判定一個(gè)四邊形是菱形的是( )A.兩條對(duì)角線相等 B.兩條對(duì)角線互相垂直C.兩條對(duì)角線相等且垂直 D.兩條對(duì)角線互相垂直平分3、要判斷一個(gè)四邊形是菱形,可以首先判斷它是一個(gè)平行四邊形,然后再判定這個(gè)四邊形的一組__________或兩條對(duì)角線__________.4、已知:如圖 ABCD的對(duì)角線AC的垂直平分線與邊AD、BC分別交于E、F求證:四邊形AFCE是菱形

(1)求證:四邊形BCFE是菱形;(2)若CE=4,∠BCF=120°,求菱形BCFE的面積.(1)證明:∵D、E分別是AB、AC的中點(diǎn),∴DE∥BC且2DE=BC.又∵BE=2DE,EF=BE,∴EF=BC,EF∥BC,∴四邊形BCFE是平行四邊形.又∵EF=BE,∴四邊形BCFE是菱形;(2)解:∵∠BCF=120°,∴∠EBC=60°,∴△EBC是等邊三角形,∴菱形的邊長(zhǎng)為4,高為23,∴菱形的面積為4×23=83.方法總結(jié):判定一個(gè)四邊形是菱形時(shí),要結(jié)合條件靈活選擇方法.如果可以證明四條邊相等,可直接證出菱形;如果只能證出一組鄰邊相等或?qū)蔷€互相垂直,可以嘗試證出這個(gè)四邊形是平行四邊形,然后用定義法或判定定理1來證明菱形.三、板書設(shè)計(jì)菱形的判 定有一組鄰邊相等的平行四邊形是菱形(定義)四邊相等的四邊形是菱形對(duì)角線互相垂直的平行四邊形是菱形對(duì)角線互相垂直平分的四邊形是菱形 經(jīng)歷菱形的證明、猜想的過程,進(jìn)一步提高學(xué)生的推理論證能力,體會(huì)證明過程中所運(yùn)用的歸納概括以及轉(zhuǎn)化等數(shù)學(xué)方法.在菱形的判定方法的探索與綜合應(yīng)用中,培養(yǎng)學(xué)生的觀察能力、動(dòng)手能力及邏輯思維能力.

(2)如果對(duì)應(yīng)著的兩條小路的寬均相等,如圖②,試問小路的寬x與y的比值是多少時(shí),能使小路四周所圍成的矩形A′B′C′D′和矩形ABCD相似?解析:(1)根據(jù)兩矩形的對(duì)應(yīng)邊是否成比例來判斷兩矩形是否相似;(2)根據(jù)矩形相似的條件列出等量關(guān)系式,從而求出x與y的比值.解:(1)矩形A′B′C′D′和矩形ABCD不相似.理由如下:假設(shè)兩個(gè)矩形相似,不妨設(shè)小路寬為xm,則30+2x30=20+2x20,解得x=0.∵由題意可知,小路寬不可能為0,∴矩形A′B′C′D′和矩形ABCD不相似;(2)當(dāng)x與y的比值為3:2時(shí),小路四周所圍成的矩形A′B′C′D′和矩形ABCD相似.理由如下:若矩形A′B′C′D′和矩形ABCD相似,則30+2x30=20+2y20,所以xy=32.∴當(dāng)x與y的比值為3:2時(shí),小路四周所圍成的矩形A′B′C′D′和矩形ABCD相似.方法總結(jié):因?yàn)榫匦蔚乃膫€(gè)角均是直角,所以在有關(guān)矩形相似的問題中,只需看對(duì)應(yīng)邊是否成比例,若成比例,則相似,否則不相似.

(2)相似多邊形的對(duì)應(yīng)邊的比稱為相似比;(3)當(dāng)相似比為1時(shí),兩個(gè)多邊形全等.二、運(yùn)用相似多邊形的性質(zhì).活動(dòng)3 例:如圖27.1-6,四邊形ABCD和EFGH相似,求角 的大小和EH的長(zhǎng)度 .27.1-6教師活動(dòng):教師出示例題,提出問題;學(xué)生活動(dòng):學(xué)生通過例題運(yùn)用相似多邊形的性質(zhì),正確解答出角 的大小和EH的長(zhǎng)度 .(2人板演)活動(dòng)41.在比例尺為1﹕10 000 000的地圖上,量得甲、乙兩地的距離是30 cm,求兩地的實(shí)際距離.2.如圖所示的兩個(gè)直角三角形相似嗎?為什么?3.如圖所示的兩個(gè)五邊形相似,求未知邊 、 、 、 的長(zhǎng)度.教師活動(dòng):在活動(dòng)中,教師應(yīng)重點(diǎn)關(guān)注:(1)學(xué)生參與活動(dòng)的熱情及語言歸納數(shù)學(xué)結(jié)論的能力;(2)學(xué)生對(duì)于相似多邊形的性質(zhì)的掌握情況.三、回顧與反思.(1)談?wù)劚竟?jié)課你有哪些收獲.(2)布置課外作業(yè):教材P88頁(yè)習(xí)題4.4

解:(1)根據(jù)題意,可得y=100025x,化簡(jiǎn)得y=40x;(2)根據(jù)題設(shè)可知自變量x的取值范圍為0<x<85.方法總結(jié):反比例函數(shù)的自變量取值范圍是全體非零實(shí)數(shù),但在解決實(shí)際問題的過程中,自變量的取值范圍要根據(jù)實(shí)際情況來確定.解題過程中應(yīng)該注意對(duì)題意的正確理解.三、板書設(shè)計(jì)反比例函數(shù)概念:一般地,如果兩個(gè)變量x,y之間 的對(duì)應(yīng)關(guān)系可以表示成y=kx(k 為常數(shù),k≠0)的形式,那么稱y 是x的反比例函數(shù),反比例函數(shù) 的自變量x不能為0確定表達(dá)式:待定系數(shù)法建立反比例函數(shù)的模型結(jié)合實(shí)例引導(dǎo)學(xué)生了解所討論的函數(shù)的表達(dá)形式,形成反比例函數(shù)概念的具體形象,從感性認(rèn)識(shí)到理性認(rèn)識(shí)的轉(zhuǎn)化過程,發(fā)展學(xué)生的思維.利用多媒體創(chuàng)設(shè)大量生活情境,讓學(xué)生體驗(yàn)數(shù)學(xué)來源于生活實(shí)際,并為生活實(shí)際服務(wù),讓學(xué)生感受數(shù)學(xué)有用,從而培養(yǎng)學(xué)生學(xué)習(xí)數(shù)學(xué)的興趣.

解析:想要看起來更美,則鞋底到肚臍的長(zhǎng)度與身高之比應(yīng)為黃金比,此題應(yīng)根據(jù)已知條件求出肚臍到腳底的距離,再求高跟鞋的高度.解:設(shè)肚臍到腳底的距離為x m,根據(jù)題意,得x1.60=0.60,解得x=0.96.設(shè)穿上y m高的高跟鞋看起來會(huì)更美,則y+0.961.60+y=0.618.解得y≈0.075,而0.075m=7.5cm.故她應(yīng)該穿約為7.5cm高的高跟鞋看起來會(huì)更美.易錯(cuò)提醒:要準(zhǔn)確理解黃金分割的概念,較長(zhǎng)線段的長(zhǎng)是全段長(zhǎng)的0.618.注意此題中全段長(zhǎng)是身高與高跟鞋鞋高之和.三、板書設(shè)計(jì)黃金分割定義:一般地,點(diǎn)C把線段AB分成兩條線段AC 和BC,如果ACAB=BCAC,那么稱線段AB被點(diǎn) C黃金分割黃金分割點(diǎn):一條線段有兩個(gè)黃金分割點(diǎn)黃金比:較長(zhǎng)線段:原線段=5-12:1 經(jīng)歷黃金分割的引入以及黃金分割點(diǎn)的探究過程,通過問題情境的創(chuàng)設(shè)和解決過程,體會(huì)黃金分割的文化價(jià)值,在應(yīng)用中進(jìn)一步理解相關(guān)內(nèi)容,在實(shí)際操作、思考、交流等過程中增強(qiáng)學(xué)生的實(shí)踐意識(shí)和自信心.感受數(shù)學(xué)與生活的緊密聯(lián)系,體會(huì)數(shù)學(xué)的思維方式,增進(jìn)數(shù)學(xué)學(xué)習(xí)的興趣.

2.如何找一條線段的黃金分割點(diǎn),以及會(huì)畫黃金矩形.3.能根據(jù)定義判斷某一點(diǎn)是否為一條線段的黃金分割點(diǎn).Ⅳ.課后作業(yè)習(xí)題4.8Ⅴ.活動(dòng)與探究要配制一種新農(nóng)藥,需要兌水稀釋,兌多少才好呢?太濃太稀都不行.什么比例最合適,要通過試驗(yàn)來確定.如果知道稀釋的倍數(shù)在1000和2000之間,那么,可以把1000和2000看作線段的兩個(gè)端點(diǎn),選擇AB的黃金分割點(diǎn)C作為第一個(gè)試驗(yàn)點(diǎn),C點(diǎn)的數(shù)值可以算是1000+(2000-1000)×0.618= 1618.試驗(yàn)的結(jié)果,如果按1618倍,水兌得過多,稀釋效果不理想,可以進(jìn)行第二次試 驗(yàn).這次的試驗(yàn)點(diǎn)應(yīng)該選AC的黃金分割點(diǎn)D,D的位置是1000+(1618-1000)×0.618,約等于1382,如果D點(diǎn)還不理想,可以按黃金分割的方法繼續(xù)試驗(yàn)下去.如果太濃,可以選DC之間的黃金分割 點(diǎn) ;如果太稀,可以選AD之間的黃金分割點(diǎn),用這樣的方法,可以較快地找到合適的濃度數(shù)據(jù).這種方法叫做“黃金分割法”.用這樣的方法進(jìn)行科學(xué)試驗(yàn),可以用最少的試驗(yàn)次數(shù)找到最佳的數(shù)據(jù),既節(jié)省了時(shí)間,也節(jié)約了原材料.●板書設(shè)計(jì)
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