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  • 新人教版高中英語必修3Unit 5 The Value of Money- Discovering Useful Structure教學設(shè)計

    新人教版高中英語必修3Unit 5 The Value of Money- Discovering Useful Structure教學設(shè)計

    Step 3 Meaning1. 過去將來時表示從過去某一時間來看將要發(fā)生的動作或存在的狀態(tài), 常用在賓語從句中。一般由“would/should +動詞原形”構(gòu)成。She hoped that they would meet again someday. 她希望將來有一天他們能再見面。2. was/were going to+動詞原形: 表示過去將要發(fā)生或很有可能發(fā)生的動作, 常用于口語中, 表示預言、意圖或者打算等。He was going to start work the following week. 他打算下星期開始工作。3. was/were about to do: 常用來表示即將發(fā)生的動作, “剛要/正要做……”。注意該結(jié)構(gòu)不與任何時間狀語連用。I felt that something terrible was about to happen. 我感到某種可怕的事情即將發(fā)生。4.was/were to do: 表示“曾計劃做某事”, 如果表示“本來計劃做某事, 動作沒實現(xiàn)”, 則需用 “was/were to have done”。She said she was to have told me about the accident. 她說她本來想告訴我關(guān)于事故的事。5.Start, go, come, leave, see, meet等動詞的過去進行時: 表示就過去某一時刻而言即將發(fā)生的動作。She was coming later. 她隨后就來。I had just put on my overcoat and was leaving to visit a friend of mine. 我剛穿上外套要去看我的一個朋友。

  • 新人教版高中英語必修3Unit 5 The Value of Money-Listening &Speaking&Talking教學設(shè)計

    新人教版高中英語必修3Unit 5 The Value of Money-Listening &Speaking&Talking教學設(shè)計

    4. A:We’d like to have someone to say a word at the beginning to welcome the group.B:↙Who?A:We thought that you or Dr.Johnson might do it.B用降調(diào)說Who,其意思是問,對方想讓誰在開場時致歡迎詞。Step 6 Pronunciation---Practice1. Listen to the short conversation and mark the intonation with ↗, ↙ or ↙, ↗. Then discuss with a partner what they intend to convey by using different intonation.Owner: You know what ?↗ It’s a million-pound bank note↙.Waiter 1: Really ?↗(question)Waiter 2: Really !↙(unbelievable and surprised)Waiter 3: Really ?!↙↗(first question then surprised)2. Listen to the conversations. Underline the parts that are stressed and mark the intonation. Then talk about the implied meanings of the responses with different intonations. Listen again and repeat.1) Henry: It’s a nice suit.Owner: Oh, it’s perfect!↙(The intonation means it is very suitable for Henry.)2) Henry: Well, that’s very kind of you.Owner: Kind, sir ?↗(what you said is not right) No, it’s kind of you. You must come whenever you want and have whatever you like. Just having you sit here is a great honour !!↙(welcome you to come again)3)Henry:Well, to be honest, I have none. Oliver:(happily) What luck!(excited) Brother↗, what luck!↙(It means “Didn’t you hear it?”)Henry: Well, it may seem lucky to you but not to me!↗(angry) If this is your idea of some kind of joke, I don’t think it’s very funny. Now if you’ll excuse me, I ought to be on my way.↙(If so, I would leave.)Roderick: Please don’t go↙...(hope Henry can wait for a moment)Part B Viewing and Talking---Describe people’s changing attitudes in a film clipStep 1 Before-listening---Tell the filmYou are going to watch part of the film The Million Pound Bank Note. Look at these photos and guess what happens in the film.

  • 新人教版高中英語必修3Unit 5 The value of money-Reading and Thinking教學設(shè)計二

    新人教版高中英語必修3Unit 5 The value of money-Reading and Thinking教學設(shè)計二

    ? Could you offer me some kind of work here?? I don’t want your charity, I just want an honest job.? Careless: I landed in Britain by accident.Step 7:Consolidation.? Find Henry? Roderick and Oliver were I .making a bet when they saw Henry, a poor young man. ? Know Henry? About a month ago, Henry was sailing and later he found himself carried out to sea by a strong wind. Fortunately, he 2.was spotted by a ship. And it was the ship that brought him to 3.England? Offer money to Henry ? Oliver and Roderick gave Henry a letter and told him that there was money in it. They 4.persuaded him to accept it, and made him 5.promise that it wouldn't be opened until 2 o'clock.Step 8:Language pointsa large amount of: a large quantity of; a great deal ofe.g. They bought a large amount of furniture before they moved their new house.make a bet: make an arrangement to risk money, etc. on an event of which the result is doubtful.e.g. We made a bet on the result of the match.permit sb to do something: allow somebody to do somethinge.g. My mother doesn’t permit me to ride in the street after it rained.by accident: as a result of chancee.g. I only found it by accident.stare at: look at somebody or something with the eyes wide open in a fixed gaze( in astonishment, wonder, fear, etc)to be honest: to tell you the truth; to be franke.g. To be honest, I don’t think we have a chance of winning.Step7 Homework:What do you think will happen to Henry? Will the bank-note help him or get him into trouble?

  • 新人教版高中英語必修3Unit 5 The Value of Money-Reading for Writing教學設(shè)計二

    新人教版高中英語必修3Unit 5 The Value of Money-Reading for Writing教學設(shè)計二

    2. 您能看到, 我頭發(fā)太長了。You can see that my hair is much too long.3. 無論什么時候, 只要您想回來就回來。Please come back whenever you want.4. 您僅有很少的頭發(fā)要理! You only have too little hair to cut !5. 為您服務(wù)是我的榮幸!It is my honour to serve you!Step 9 Writing(Henry is walking down the street when he sees a sign for a place that cuts hair. He decides to have it cut. )H=Henry B=BarberH: Good afternoon, I’d like to have my hair cut, if I may. (The barber looks at Henry’s hair and continues cutting another man’s hair. ) Er, I’d really like a haircut. As you can see it’s much too long. B: (in a rude manner) Yes, I can see that. Indeed, I can. H: Fine, well, I’ll have a seat then. (He sits in one of the barber’s chairs. The barber turns to look at Henry. )B: It’s quite expensive here, you know! Are you sure you can afford it?H: Yes. I think so. (After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B: Why Mr. . . (looks shocked)H: Adams. Henry Adams. I’m sorry. I don’t have any change. B: Please don’t worry! (wearing a big smile) Nothing to worry about! Nothing at all! Please come back whenever you want, even if you only have too little hair to cut! It will be my honour to serve you!Step 10 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Are all the elements of a play included and in good order ?2. Do the character use suitable language ?3. Are the stage directions clear and useful ?4. Is the plot clear and exciting enough ?

  • 新人教版高中英語必修3Unit 5 the value of money-Reading For Writing教學設(shè)計一

    新人教版高中英語必修3Unit 5 the value of money-Reading For Writing教學設(shè)計一

    【參考范文】Narrator:(Henry is smiling as he leaves the restaurant. As he is walking down the street, he sees a sign for a place that cuts hair. He decides to get it cut. )H=Henry;B=Barber;R=rude manH:Good afternoon, I'd like to get a cut, if I may. (The barber looks at Henry's hair and continues cutting another man's hair. )Er, I'd really like a haircut. As you can see it's much too long. B:(in a rude manner) Yes, I can see that. Indeed, I can. H:Fine, well I'll have a seat then. (He sits in one of the barber's chairs. The barber turns to look at Henry. )B:It's quite expensive here, you know!Are you sure you can afford it?H:Yes. I think so. (In comes the rude man. )R:Hey you there. I need a haircut quickly. Can you do me straightaway?B:All right, then, get in the chair and I'll see what I can do. R:Thank you. (sits down in one of the barber's chairs)H:Excuse me, but I was here first. Aren't you going to do my hair first?B:This man's in a hurry. H:Well so am I!I insist that you cut my hair first. B:OK, but I'll have to be quick. This gentleman is waiting. H:Thank you. (They both become quiet. After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B:Why, Mr . . . (looks shocked)H:Adams. Henry Adams. I'm sorry, I don't have any change. R:You're that Mr Adams! Well,I'm glad I waited or I might never have known it was you. B:Why, Mr Adams, please don't worry!(wearing a big smile) Nothing to worry about!Nothing at all!Please come back any time, even if you only need too little hairs cut!It will be my honour to serve you!

  • 統(tǒng)編版二年級語文上識字2樹之歌教學設(shè)計教案

    統(tǒng)編版二年級語文上識字2樹之歌教學設(shè)計教案

    《樹之歌》是統(tǒng)編版二年級上冊第二單元的一篇識字課文。介紹樹木特征的歸類識字歌,描寫了楊樹、榕樹、梧桐樹……等11種樹木,表現(xiàn)了大自然樹木種類的豐富。課文安排了一組“木”字旁歸類識字。把樹木的名稱集中在一首詩歌中,讓學生在感受美麗景色、感受美好生活的同時,認識事物,認識表示樹木的漢字,感知不同樹木的名稱。教學的過程中可引導學生在誦讀文本的同時,體現(xiàn)多樣的識字形式,要將識字教學與閱讀文本有機融合, 在反復的讀書體會中,引導學生發(fā)現(xiàn)漢字規(guī)律,運用形聲字形旁表義、聲旁表音的特點歸類識字,并鼓勵學生運用已經(jīng)掌握的方法自主識字。 1.認識“梧、桐”等15個生字,會寫“楊、壯”等10個生字。學會運用形聲字的特點自主識字。2.正確、流利地朗讀兒歌,并背誦全文。3.通過看圖和讀兒歌,初步了解11種樹木的基本特點。積累與樹木有關(guān)的語句。4.引導學生學會觀察身邊的事物,樹立愛護花草樹木的意識。 1.教學重點:學會本課生字,利用形聲字特點掌握木字旁的8個生字。朗讀課文,背誦課文。了解不同樹木的特點。2.教學難點:能按掌握形聲字的構(gòu)字特點,了解11種樹木的基本特點。積累與樹木有關(guān)的語句。能背誦課文。 2課時

  • 三角形內(nèi)角和定理教案教學設(shè)計

    三角形內(nèi)角和定理教案教學設(shè)計

    活動內(nèi)容:① 已知,如圖,在三角形ABC中,AD平分外角∠EAC,∠B=∠C.求證:AD∥BC分析:要證明AD∥BC,只需證明“同位角相等”,即需證明∠DAE=∠B.證明:∵∠EAC=∠B+∠C(三角形的一個外角等于和它不相鄰的兩個內(nèi)角的和)∠B=∠C(已知)∴∠B=∠EAC(等式的性質(zhì))∵AD平分∠EAC(已知)∴∠DAE=∠EAC(角平分線的定義)∴∠DAE=∠B(等量代換)∴AD∥BC(同位角相等,兩直線平行)想一想,還有沒有其他的證明方法呢?這個題還可以用“內(nèi)錯角相等,兩直線平行”來證.

  • 北師大初中七年級數(shù)學下冊同底數(shù)冪的除法教案

    北師大初中七年級數(shù)學下冊同底數(shù)冪的除法教案

    【類型四】 含整數(shù)指數(shù)冪、零指數(shù)冪與絕對值的混合運算計算:-22+(-12)-2+(2015-π)0-|2-π2|.解析:分別根據(jù)有理數(shù)的乘方、零指數(shù)冪、負整數(shù)指數(shù)冪及絕對值的性質(zhì)計算出各數(shù),再根據(jù)實數(shù)的運算法則進行計算.解:-22+(-12)-2+(2015-π)0-|2-π2|=-4+4+1-2+π2=π2-1.方法總結(jié):熟練掌握有理數(shù)的乘方、零指數(shù)冪、負整數(shù)指數(shù)冪及絕對值的性質(zhì)是解答此題的關(guān)鍵.三、板書設(shè)計1.同底數(shù)冪的除法法則:同底數(shù)冪相除,底數(shù)不變,指數(shù)相減.2.零次冪:任何一個不等于零的數(shù)的零次冪都等于1.即a0=1(a≠0).3.負整數(shù)次冪:任何一個不等于零的數(shù)的-p(p是正整數(shù))次冪,等于這個數(shù)p次冪的倒數(shù).即a-p=1ap(a≠0,p是正整數(shù)).從計算具體問題中的同底數(shù)冪的除法,逐步歸納出同底數(shù)冪除法的一般性質(zhì).教學時要多舉幾個例子,讓學生從中總結(jié)出規(guī)律,體驗自主探究的樂趣和數(shù)學學習的魅力,為以后的學習奠定基礎(chǔ)

  • 北師大初中七年級數(shù)學下冊同底數(shù)冪的乘法教案

    北師大初中七年級數(shù)學下冊同底數(shù)冪的乘法教案

    問題:2015年9月24日,美國國家航空航天局(下簡稱:NASA)對外宣稱將有重大發(fā)現(xiàn)宣布,可能發(fā)現(xiàn)除地球外適合人類居住的星球,一時間引起了人們的廣泛關(guān)注.早在2014年,NASA就發(fā)現(xiàn)一顆行星,這顆行星是第一顆在太陽系外恒星旁發(fā)現(xiàn)的適居帶內(nèi)、半徑與地球相若的系外行星,這顆行星環(huán)繞紅矮星開普勒186,距離地球492光年.1光年是光經(jīng)過一年所行的距離,光的速度大約是3×105km/s.問:這顆行星距離地球多遠(1年=3.1536×107s)?3×105×3.1536×107×492=3×3.1536×4.92×105×107×102=4.6547136×10×105×107×102.問題:“10×105×107×102”等于多少呢?二、合作探究探究點:同底數(shù)冪的乘法【類型一】 底數(shù)為單項式的同底數(shù)冪的乘法計算:(1)23×24×2;(2)-a3·(-a)2·(-a)3;(3)mn+1·mn·m2·m.解析:(1)根據(jù)同底數(shù)冪的乘法法則進行計算即可;(2)先算乘方,再根據(jù)同底數(shù)冪的乘法法則進行計算即可;(3)根據(jù)同底數(shù)冪的乘法法則進行計算即可.

  • 北師大初中九年級數(shù)學下冊二次函數(shù)與一元二次方程1教案

    北師大初中九年級數(shù)學下冊二次函數(shù)與一元二次方程1教案

    解:(1)設(shè)第一次落地時,拋物線的表達式為y=a(x-6)2+4,由已知:當x=0時,y=1,即1=36a+4,所以a=-112.所以函數(shù)表達式為y=-112(x-6)2+4或y=-112x2+x+1;(2)令y=0,則-112(x-6)2+4=0,所以(x-6)2=48,所以x1=43+6≈13,x2=-43+6<0(舍去).所以足球第一次落地距守門員約13米;(3)如圖,第二次足球彈出后的距離為CD,根據(jù)題意:CD=EF(即相當于將拋物線AEMFC向下平移了2個單位).所以2=-112(x-6)2+4,解得x1=6-26,x2=6+26,所以CD=|x1-x2|=46≈10.所以BD=13-6+10=17(米).方法總結(jié):解決此類問題的關(guān)鍵是先進行數(shù)學建模,將實際問題中的條件轉(zhuǎn)化為數(shù)學問題中的條件.常有兩個步驟:(1)根據(jù)題意得出二次函數(shù)的關(guān)系式,將實際問題轉(zhuǎn)化為純數(shù)學問題;(2)應(yīng)用有關(guān)函數(shù)的性質(zhì)作答.

  • 北師大初中九年級數(shù)學下冊確定二次函數(shù)的表達式1教案

    北師大初中九年級數(shù)學下冊確定二次函數(shù)的表達式1教案

    解析:(1)把點A(-4,-3)代入y=x2+bx+c得16-4b+c=-3,根據(jù)對稱軸是x=-3,求出b=6,即可得出答案;(2)根據(jù)CD∥x軸,得出點C與點D關(guān)于x=-3對稱,根據(jù)點C在對稱軸左側(cè),且CD=8,求出點C的橫坐標和縱坐標,再根據(jù)點B的坐標為(0,5),求出△BCD中CD邊上的高,即可求出△BCD的面積.解:(1)把點A(-4,-3)代入y=x2+bx+c得16-4b+c=-3,∴c-4b=-19.∵對稱軸是x=-3,∴-b2=-3,∴b=6,∴c=5,∴拋物線的解析式是y=x2+6x+5;(2)∵CD∥x軸,∴點C與點D關(guān)于x=-3對稱.∵點C在對稱軸左側(cè),且CD=8,∴點C的橫坐標為-7,∴點C的縱坐標為(-7)2+6×(-7)+5=12.∵點B的坐標為(0,5),∴△BCD中CD邊上的高為12-5=7,∴△BCD的面積=12×8×7=28.方法總結(jié):此題考查了待定系數(shù)法求二次函數(shù)的解析式以及二次函數(shù)的圖象和性質(zhì),注意掌握數(shù)形結(jié)合思想與方程思想的應(yīng)用.

  • 北師大初中七年級數(shù)學下冊單項式除以單項式教案

    北師大初中七年級數(shù)學下冊單項式除以單項式教案

    光的速度約為3×108米/秒,一顆人造地球衛(wèi)星的速度是8×103米/秒,則光的速度是這顆人造地球衛(wèi)星速度的多少倍?解析:要求光速是人造地球衛(wèi)星的速度的倍數(shù),用光速除以人造地球衛(wèi)星的速度,可轉(zhuǎn)化為單項式相除問題.解:(3×108)÷(8×103)=(3÷8)·(108÷103)=3.75×104.答:光速是這顆人造地球衛(wèi)星速度的3.75×104倍.方法總結(jié):解整式除法的實際應(yīng)用題時,應(yīng)分清何為除式,何為被除式,然后應(yīng)當單項式除以單項式法則計算.三、板書設(shè)計1.單項式除以單項式的運算法則:單項式相除,把系數(shù)、同底數(shù)冪分別相除,作為商的因式;對于只在被除式里含有的字母,則連同它的指數(shù)作為商的一個因式.2.單項式除以單項式的應(yīng)用在教學過程中,通過生活中的情景導入,引導學生根據(jù)單項式乘以單項式的乘法運算推導出其逆運算的規(guī)律,在探究的過程中經(jīng)歷數(shù)學概念的生成過程,從而加深印象

  • 北師大初中七年級數(shù)學下冊多項式除以單項式教案

    北師大初中七年級數(shù)學下冊多項式除以單項式教案

    一、情境導入1.計算:(1)-6x3y4z2÷(-23x2y2);(2)9mn÷(-6mn)2·(13n2);(3)6(a-b)3c5÷[-35(a-b)2c]·[-2(a-b)3c4].2.m(a+b+c)=am+bm+cm,(am+bm+cm)÷m=am÷m+bm÷m+cm÷m=a+b+c.你能根據(jù)多項式乘以單項式的運算歸納出多項式除以單項式的運算法則嗎?二、合作探究探究點:多項式除以單項式【類型一】 直接利用多項式除以單項式進行計算計算:(72x3y4-36x2y3+9xy2)÷(-9xy2).解析:根據(jù)多項式除以單項式,先用多項式的每一項分別除以這個單項式,然后再把所得的商相加.解:原式=72x3y4÷(-9xy2)+(-36x2y3)÷(-9xy2)+9xy2÷(-9xy2)=-8x2y2+4xy-1.方法總結(jié):多項式除以單項式,先把多項式的每一項都分別除以這個單項式,然后再把所得的商相加.

  • 北師大初中七年級數(shù)學下冊用表格表示的變量間關(guān)系教案

    北師大初中七年級數(shù)學下冊用表格表示的變量間關(guān)系教案

    解:(1)電動車的月產(chǎn)量y為隨著時間x的變化而變化,有一個時間x就有唯一一個y與之對應(yīng),月產(chǎn)量y是時間x的因變量;(2)6月份產(chǎn)量最高,1月份產(chǎn)量最低;(3)6月份和1月份相差最大,在1月份加緊生產(chǎn),實現(xiàn)產(chǎn)量的增值.方法總結(jié):觀察因變量隨自變量變化而變化的趨勢,實質(zhì)是觀察自變量增大時,因變量是隨之增大還是減?。?、板書設(shè)計1.常量與變量:在一個變化過程中,數(shù)值發(fā)生變化的量為變量,數(shù)值始終不變的量稱之為常量.2.用表格表示數(shù)量間的關(guān)系:借助表格表示因變量隨自變量的變化而變化的情況.自變量和因變量是用來描述我們所熟悉的變化的事物以及自然界中出現(xiàn)的一些變化現(xiàn)象的兩個重要的量,對于我們所熟悉的變化,在用了這兩個量的描述之后更加鮮明.本節(jié)是學好本章的基礎(chǔ),教學中立足于學生的認知基礎(chǔ),激發(fā)學生的認知沖突,提升學生的認知水平,使學生在原有的知識基礎(chǔ)上迅速遷移到新知上來

  • 北師大初中七年級數(shù)學下冊與摸球相關(guān)的等可能事件的概率教案

    北師大初中七年級數(shù)學下冊與摸球相關(guān)的等可能事件的概率教案

    1.進一步理解概率的意義并掌握計算事件發(fā)生概率的方法;(重點)2.了解事件發(fā)生的等可能性及游戲規(guī)則的公平性.(難點)一、情境導入一個箱子中放有紅、黃、黑三個小球,三個人先后去摸球,一人摸一次,一次摸出一個小球,摸出后放回,摸出黑色小球為贏,那么這個游戲是否公平?二、合作探究探究點一:與摸球有關(guān)的等可能事件的概率【類型一】 摸球問題一個不透明的盒子中放有4個白色乒乓球和2個黃色乒乓球,所有乒乓球除顏色外完全相同,從中隨機摸出1個乒乓球,摸出黃色乒乓球的概率為()A.23 B.12 C.13 D.16解析:根據(jù)題意可得不透明的袋子里裝有6個乒乓球,其中2個黃色的,任意摸出1個,則P(摸到黃色乒乓球)=26=13.故選C.方法總結(jié):概率的求法關(guān)鍵是找準兩點:①全部情況的總數(shù);②符合條件的情況數(shù)目.二者的比值就是其發(fā)生的概率.【類型二】 與代數(shù)知識相關(guān)的問題已知m為-9,-6,-5,-3,-2,2,3,5,6,9中隨機取的一個數(shù),則m4>100的概率為()A.15 B.310 C.12 D.35

  • 北師大初中八年級數(shù)學下冊分式的基本性質(zhì)教案

    北師大初中八年級數(shù)學下冊分式的基本性質(zhì)教案

    【類型二】 分式的約分約分:(1)-5a5bc325a3bc4;(2)x2-2xyx3-4x2y+4xy2.解析:先找分子、分母的公因式,然后根據(jù)分式的基本性質(zhì)把公因式約去.解:(1)-5a5bc325a3bc4=5a3bc3(-a2)5a3bc3·5c=-a25c;(2)x2-2xyx3-4x2y+4xy2=x(x-2y)x(x-2y)2=1x-2y.方法總結(jié):約分的步驟;(1)找公因式.當分子、分母是多項式時應(yīng)先分解因式;(2)約去分子、分母的公因式.三、板書設(shè)計1.分式的基本性質(zhì):分式的分子與分母都乘以(或除以)同一個不為零的整式,分式的值不變.2.符號法則:分式的分子、分母及分式本身,任意改變其中兩個符號,分式的值不變;若只改變其中一個符號或三個全變號,則分式的值變成原分式值的相反數(shù).本節(jié)課的流程比較順暢,先探究分式的基本性質(zhì),然后順勢探究分式變號法則.在每個活動中,都設(shè)計了具有啟發(fā)性的問題,對各個知識點進行分析、歸納總結(jié)、例題示范、方法指導和變式練習.一步一步的來完成既定目標.整個學習過程輕松、愉快、和諧、高效.

  • 北師大初中八年級數(shù)學下冊異分母分式的加減教案

    北師大初中八年級數(shù)學下冊異分母分式的加減教案

    分式1x2-3x與2x2-9的最簡公分母是________.解析:∵x2-3x=x(x-3),x2-9=(x+3)(x-3),∴最簡公分母為x(x+3)(x-3).方法總結(jié):最簡公分母的確定:最簡公分母的系數(shù),取各個分母的系數(shù)的最小公倍數(shù);字母及式子取各分母中所有字母和式子的最高次冪.“所有字母和式子的最高次冪”是指“凡出現(xiàn)的字母(或含字母的式子)為底數(shù)的冪的因式選取指數(shù)最大的”;當分母是多項式時,一般應(yīng)先因式分解.【類型二】 分母是單項式分式的通分通分.(1)cbd,ac2b2;(2)b2a2c,2a3bc2;(3)45y2z,310xy2,5-2xz2.解析:先確定最簡公分母,找到各個分母應(yīng)當乘的單項式,分子也相應(yīng)地乘以這個單項式.解:(1)最簡公分母是2b2d,cbd=2bc2b2d,ac2b2=acd2b2d;(2)最簡公分母是6a2bc2,b2a2c=3b2c6a2bc2,2a3bc2=4a36a2bc2;(3)最簡公分母是10xy2z2,45y2z=8xz10xy2z2,310xy2=3z210xy2z2,5-2xz2=--25y210xy2z2.

  • 北師大初中九年級數(shù)學下冊圓周角和圓心角的關(guān)系教案

    北師大初中九年級數(shù)學下冊圓周角和圓心角的關(guān)系教案

    解析:點E是BC︵的中點,根據(jù)圓周角定理的推論可得∠BAE=∠CBE,可證得△BDE∽△ABE,然后由相似三角形的對應(yīng)邊成比例得結(jié)論.證明:∵點E是BC︵的中點,即BE︵=CE︵,∴∠BAE=∠CBE.∵∠E=∠E(公共角),∴△BDE∽△ABE,∴BE∶AE=DE∶BE,∴BE2=AE·DE.方法總結(jié):圓周角定理的推論是和角有關(guān)系的定理,所以在圓中,解決相似三角形的問題常??紤]此定理.三、板書設(shè)計圓周角和圓心角的關(guān)系1.圓周角的概念2.圓周角定理3.圓周角定理的推論本節(jié)課的重點是圓周角與圓心角的關(guān)系,難點是應(yīng)用所學知識靈活解題.在本節(jié)課的教學中,學生對圓周角的概念和“同弧所對的圓周角相等”這一性質(zhì)較容易掌握,理解起來問題也不大,而對圓周角與圓心角的關(guān)系理解起來則相對困難,因此在教學過程中要著重引導學生對這一知識的探索與理解.還有些學生在應(yīng)用知識解決問題的過程中往往會忽略同弧的問題,在教學過程中要對此予以足夠的強調(diào),借助多媒體加以突出.

  • 北師大初中七年級數(shù)學下冊角平分線的性質(zhì)教案

    北師大初中七年級數(shù)學下冊角平分線的性質(zhì)教案

    解析:根據(jù)AB∥CD,∠ACD=120°,得出∠CAB=60°.再根據(jù)尺規(guī)作圖得出AM是∠CAB的平分線,即可得出∠MAB的度數(shù).解:∵AB∥CD,∴∠ACD+∠CAB=180°.又∵∠ACD=120°,∴∠CAB=60°.由尺規(guī)作圖知AM是∠CAB的平分線,∴∠MAB=12∠CAB=30°.方法總結(jié):通過本題要掌握角平分線的作圖步驟,根據(jù)作圖明確AM是∠BAC的角平分線是解題的關(guān)鍵.三、板書設(shè)計1.角平分線的性質(zhì):角平分線上的點到這個角的兩邊的距離相等.2.角平分線的作法本節(jié)課由于采用了動手操作以及討論交流等教學方法,從而有效地增強了學生對角以及角平分線的性質(zhì)的感性認識,提高了學生對新知識的理解與感悟,因而本節(jié)課的教學效果較好,學生對所學的新知識掌握較好,達到了教學的目的.不足之處是少數(shù)學生在性質(zhì)的運用上還存在問題,需要在今后的教學與作業(yè)中進一步的加強鞏固和訓練

  • 北師大初中七年級數(shù)學下冊多項式與多項式相乘教案

    北師大初中七年級數(shù)學下冊多項式與多項式相乘教案

    解:(ax2+bx+1)(3x-2)=3ax3-2ax2+3bx2-2bx+3x-2.∵積不含x2項,也不含x項,∴-2a+3b=0,-2b+3=0,解得b=32,a=94,∴系數(shù)a、b的值分別是94,32.方法總結(jié):解決此類問題首先要利用多項式乘法法則計算出展開式,合并同類項后,再根據(jù)不含某一項,可得這一項系數(shù)等于零,再列出方程解答.三、板書設(shè)計1.多項式與多項式的乘法法則:多項式和多項式相乘,先用一個多項式的每一項與另一個多項式的每一項相乘,再把所得的積相加.2.多項式與多項式乘法的應(yīng)用本節(jié)知識的綜合性較強,要求學生熟練掌握前面所學的單項式與單項式相乘及單項式與多項式相乘的知識,同時為了讓學生理解并掌握多項式與多項式相乘的法則,教學中一定要精講精練,讓學生從練習中再次體會法則的內(nèi)容,為以后的學習奠定基礎(chǔ)

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