另一方面,其余的人反對(duì)這個(gè)計(jì)劃,因?yàn)樗赡軙?huì)導(dǎo)致一些不好的影響。7.I hold the belief that space exploration not only enable us to understand how the universe began but also help us survived well into the future.我堅(jiān)信探索太空不僅能夠使我們了解宇宙的起源而且能夠幫助我們更好地走進(jìn)未來(lái)。8.I think we should spend more time and money exploring space so as to provide new and better solutions to people's shortterm and longterm problems.為了給人類(lèi)的短期和長(zhǎng)期問(wèn)題提供更新和更好的解決方法,我認(rèn)為我們應(yīng)該花更多的時(shí)間和金錢(qián)來(lái)探索太空。9.From my point of view,it is wrong of young people to depend on their telephones too much,which may do harm to both their physical and mental health.在我看來(lái),年輕人過(guò)度依賴手機(jī)是不對(duì)的,因?yàn)樗鼈兛赡軙?huì)對(duì)他們的身心健康都有害。最近你班同學(xué)就“人類(lèi)是否應(yīng)該進(jìn)行宇宙探索”這個(gè)問(wèn)題進(jìn)行了激烈的討論。有人認(rèn)為,探索宇宙不僅讓人類(lèi)更好地了解宇宙的發(fā)展,還可以用來(lái)指導(dǎo)農(nóng)業(yè)生產(chǎn),以及把一些探索太空的高新技術(shù)用于現(xiàn)實(shí)生活;也有一些人認(rèn)為探索太空花掉了大量的人力物力;影響了人們的生活水平。請(qǐng)你根據(jù)以下情況寫(xiě)一篇報(bào)告并發(fā)表自己的觀點(diǎn)。注意:1.寫(xiě)作內(nèi)容應(yīng)包括以上全部要點(diǎn),可適當(dāng)發(fā)揮,使上下文連貫;
Step 3 Meaning1. 過(guò)去將來(lái)時(shí)表示從過(guò)去某一時(shí)間來(lái)看將要發(fā)生的動(dòng)作或存在的狀態(tài), 常用在賓語(yǔ)從句中。一般由“would/should +動(dòng)詞原形”構(gòu)成。She hoped that they would meet again someday. 她希望將來(lái)有一天他們能再見(jiàn)面。2. was/were going to+動(dòng)詞原形: 表示過(guò)去將要發(fā)生或很有可能發(fā)生的動(dòng)作, 常用于口語(yǔ)中, 表示預(yù)言、意圖或者打算等。He was going to start work the following week. 他打算下星期開(kāi)始工作。3. was/were about to do: 常用來(lái)表示即將發(fā)生的動(dòng)作, “剛要/正要做……”。注意該結(jié)構(gòu)不與任何時(shí)間狀語(yǔ)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(jì)劃做某事”, 如果表示“本來(lái)計(jì)劃做某事, 動(dòng)作沒(méi)實(shí)現(xiàn)”, 則需用 “was/were to have done”。She said she was to have told me about the accident. 她說(shuō)她本來(lái)想告訴我關(guān)于事故的事。5.Start, go, come, leave, see, meet等動(dòng)詞的過(guò)去進(jìn)行時(shí): 表示就過(guò)去某一時(shí)刻而言即將發(fā)生的動(dòng)作。She was coming later. 她隨后就來(lái)。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(gè)朋友。
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(shuō)Who,其意思是問(wèn),對(duì)方想讓誰(shuí)在開(kāi)場(chǎng)時(shí)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.
Step 4: Listen again and decide if the following statements are true (T) or false (F).1 It was the first time Chen Liyan's story was reported. T口 F口2 Chen found 10,000 yuan in a small plastic bag in Taiyuan railway station口 F口3 Wang Zheng apologized to Chen because he couldn't offer her more money. T口 F口4 Chen took out a large loan to cure her daughter, T口 F口5 Wang set up a fundraising website for Chen's daughter after Chen told him about her situation. T口 F口Step 5:After listening, discuss the questions.1 What kind of person do you think Chen Liyan is?Chen Liyan is generous and honest because she returned a large sum of money to the owner.2 Did Chen return the money because she didn't need it?No. She returned the money because it was the right thing to do. Evidence for this is that she refused to accept the reward money because she felt that it had not been earned. 3 Is it common for people to do what Chen did?It depends on the culture. In some countries it is quite common to return money that has been found. In other countries, people believe "Finders are keepers!" 4 How did Wang Zheng feel about the return of his money?He must have been very happy and relieved to have gotten his money back. We know this because he thanked Chen repeatedly and even offered her a reward.5 Why did Ma Dongbao tell Wang about Chen's family?He must have had great sympathy for Chen and her daughter and wanted to help them.'We know this because he arranged help for them. 6 How did the news reporter feel about Chen's actions?The news reporter felt that it showed that money wasn't the most important thing in life. We know this because the reporter told us that this is what Chen believes. and then said, “that's a great attitude to take."
? 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?
Everybody wants to get wealth.In today’s material world,making money or becoming wealthy symbolizes a person’s success and capability. Many people just make every effort, pay any price to attain greater wealth. With money,they can buy nice, large apartments in nice neighborhood. With money they can own luxurious cars. Wealth seems to bring all happiness in life.But is wealth the only road to happiness? Not really. There are many things in the world, which are beyond the means of money, such as friendship, love, health and knowledge. People are so preoccupied with struggling for money that they have no time or would not take the time to form or maintain friendship. What happiness can they feel living as lonely miserable creatures without love or friends in the world even if they accumulate tremendous wealth?In my opinion, people can’t do anything without money, but money is not everything. What money will bring you depends on your personal belief and goal in life. If you are kind enough to help others, especially the poor, money is a good thing to you. With it, you can do much more for the benefit of people and your country, and it will add to your own happiness. If you want money just for your own needs, you’ll never be satisfied or happy. In a word,you should have money spent for more people. Only then can money be the source of your happiness.Step 8 Homework4 students in a group, one acts Roderick, one Oliver, one servant and the fourth one acts Henry Adams, then listen to the tape, pay more attention to the difference between American English and British English in pronunciation, stress, tone.
2. 您能看到, 我頭發(fā)太長(zhǎng)了。You can see that my hair is much too long.3. 無(wú)論什么時(shí)候, 只要您想回來(lái)就回來(lái)。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 ?
【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!
The newspaper reported more than 100 people had been killed in the thunderstorm.報(bào)紙報(bào)道說(shuō)有一百多人在暴風(fēng)雨中喪生。(2)before、when、by the time、until、after、once等引導(dǎo)的時(shí)間狀語(yǔ)從句的謂語(yǔ)是一般過(guò)去時(shí),以及by、before后面接過(guò)去的時(shí)間時(shí),主句動(dòng)作發(fā)生在從句的動(dòng)作或過(guò)去的時(shí)間之前且表示被動(dòng)時(shí),要用過(guò)去完成時(shí)的被動(dòng)語(yǔ)態(tài)。By the time my brother was 10, he had been sent to Italy.我弟弟10歲前就已經(jīng)被送到意大利了。Tons of rice had been produced by the end of last month. 到上月底已生產(chǎn)了好幾噸大米。(3) It was the first/second/last ... time that ...句中that引導(dǎo)的定語(yǔ)從句中,主語(yǔ)與謂語(yǔ)構(gòu)成被動(dòng)關(guān)系時(shí),要用過(guò)去完成時(shí)的被動(dòng)語(yǔ)態(tài)。It was the first time that I had seen the night fact to face in one and a half years. 這是我一年半以來(lái)第一次親眼目睹夜晚的景色。(4)在虛擬語(yǔ)氣中,條件句表示與過(guò)去事實(shí)相反,且主語(yǔ)與謂語(yǔ)構(gòu)成被動(dòng)關(guān)系時(shí),要用過(guò)去完成時(shí)的被動(dòng)語(yǔ)態(tài)。If I had been instructed by him earlier, I would have finished the task.如果我早一點(diǎn)得到他的指示,我早就完成這項(xiàng)任務(wù)了。If I had hurried, I wouldn't have missed the train.如果我快點(diǎn)的話,我就不會(huì)誤了火車(chē)。If you had been at the party, you would have met him. 如果你去了晚會(huì),你就會(huì)見(jiàn)到他的。
The discourse explores the link between food and culture from a foreign’s perspective and it records some authentic Chinese food and illustrates the cultural meaning, gerography features and historic tradition that the food reflects. It is aimed to lead students to understand and think about the connection between food and culture. While teaching, the teacher should instruct students to find out the writing order and the writer’s experieces and feelings towards Chinese food and culture.1.Guide the students to read the text, sort out the information and dig out the topic.2.Understand the cultural connotation, regional characteristics and historical tradition of Chinese cuisine3.Understand and explore the relationship between food and people's personality4.Guide the students to use the cohesive words in the text5.Lead students to accurately grasp the real meaning of the information and improve the overall understanding ability by understanding the implied meaning behind the text.1. Enable the Ss to understand the structure and the writing style of the passage well.2. Lead the Ss to understand and think further about the connection between food and geography and local character traits.Step1: Prediction before reading. Before you read, look at the title, and the picture. What do you think this article is about?keys:It is about various culture and cuisine about a place or some countries.
由樣本相關(guān)系數(shù)??≈0.97,可以推斷脂肪含量和年齡這兩個(gè)變量正線性相關(guān),且相關(guān)程度很強(qiáng)。脂肪含量與年齡變化趨勢(shì)相同.歸納總結(jié)1.線性相關(guān)系數(shù)是從數(shù)值上來(lái)判斷變量間的線性相關(guān)程度,是定量的方法.與散點(diǎn)圖相比較,線性相關(guān)系數(shù)要精細(xì)得多,需要注意的是線性相關(guān)系數(shù)r的絕對(duì)值小,只是說(shuō)明線性相關(guān)程度低,但不一定不相關(guān),可能是非線性相關(guān).2.利用相關(guān)系數(shù)r來(lái)檢驗(yàn)線性相關(guān)顯著性水平時(shí),通常與0.75作比較,若|r|>0.75,則線性相關(guān)較為顯著,否則不顯著.例2. 有人收集了某城市居民年收入(所有居民在一年內(nèi)收入的總和)與A商品銷(xiāo)售額的10年數(shù)據(jù),如表所示.畫(huà)出散點(diǎn)圖,判斷成對(duì)樣本數(shù)據(jù)是否線性相關(guān),并通過(guò)樣本相關(guān)系數(shù)推斷居民年收入與A商品銷(xiāo)售額的相關(guān)程度和變化趨勢(shì)的異同.
4.寫(xiě)出下列隨機(jī)變量可能取的值,并說(shuō)明隨機(jī)變量所取的值表示的隨機(jī)試驗(yàn)的結(jié)果.(1)一個(gè)袋中裝有8個(gè)紅球,3個(gè)白球,從中任取5個(gè)球,其中所含白球的個(gè)數(shù)為X.(2)一個(gè)袋中有5個(gè)同樣大小的黑球,編號(hào)為1,2,3,4,5,從中任取3個(gè)球,取出的球的最大號(hào)碼記為X.(3). 在本例(1)條件下,規(guī)定取出一個(gè)紅球贏2元,而每取出一個(gè)白球輸1元,以ξ表示贏得的錢(qián)數(shù),結(jié)果如何?[解] (1)X可取0,1,2,3.X=0表示取5個(gè)球全是紅球;X=1表示取1個(gè)白球,4個(gè)紅球;X=2表示取2個(gè)白球,3個(gè)紅球;X=3表示取3個(gè)白球,2個(gè)紅球.(2)X可取3,4,5.X=3表示取出的球編號(hào)為1,2,3;X=4表示取出的球編號(hào)為1,2,4;1,3,4或2,3,4.X=5表示取出的球編號(hào)為1,2,5;1,3,5;1,4,5;2,3,5;2,4,5或3,4,5.(3) ξ=10表示取5個(gè)球全是紅球;ξ=7表示取1個(gè)白球,4個(gè)紅球;ξ=4表示取2個(gè)白球,3個(gè)紅球;ξ=1表示取3個(gè)白球,2個(gè)紅球.
3.下結(jié)論.依據(jù)均值和方差做出結(jié)論.跟蹤訓(xùn)練2. A、B兩個(gè)投資項(xiàng)目的利潤(rùn)率分別為隨機(jī)變量X1和X2,根據(jù)市場(chǎng)分析, X1和X2的分布列分別為X1 2% 8% 12% X2 5% 10%P 0.2 0.5 0.3 P 0.8 0.2求:(1)在A、B兩個(gè)項(xiàng)目上各投資100萬(wàn)元, Y1和Y2分別表示投資項(xiàng)目A和B所獲得的利潤(rùn),求方差D(Y1)和D(Y2);(2)根據(jù)得到的結(jié)論,對(duì)于投資者有什么建議? 解:(1)題目可知,投資項(xiàng)目A和B所獲得的利潤(rùn)Y1和Y2的分布列為:Y1 2 8 12 Y2 5 10P 0.2 0.5 0.3 P 0.8 0.2所以 ;; 解:(2) 由(1)可知 ,說(shuō)明投資A項(xiàng)目比投資B項(xiàng)目期望收益要高;同時(shí) ,說(shuō)明投資A項(xiàng)目比投資B項(xiàng)目的實(shí)際收益相對(duì)于期望收益的平均波動(dòng)要更大.因此,對(duì)于追求穩(wěn)定的投資者,投資B項(xiàng)目更合適;而對(duì)于更看重利潤(rùn)并且愿意為了高利潤(rùn)承擔(dān)風(fēng)險(xiǎn)的投資者,投資A項(xiàng)目更合適.
對(duì)于離散型隨機(jī)變量,可以由它的概率分布列確定與該隨機(jī)變量相關(guān)事件的概率。但在實(shí)際問(wèn)題中,有時(shí)我們更感興趣的是隨機(jī)變量的某些數(shù)字特征。例如,要了解某班同學(xué)在一次數(shù)學(xué)測(cè)驗(yàn)中的總體水平,很重要的是看平均分;要了解某班同學(xué)數(shù)學(xué)成績(jī)是否“兩極分化”則需要考察這個(gè)班數(shù)學(xué)成績(jī)的方差。我們還常常希望直接通過(guò)數(shù)字來(lái)反映隨機(jī)變量的某個(gè)方面的特征,最常用的有期望與方差.二、 探究新知探究1.甲乙兩名射箭運(yùn)動(dòng)員射中目標(biāo)靶的環(huán)數(shù)的分布列如下表所示:如何比較他們射箭水平的高低呢?環(huán)數(shù)X 7 8 9 10甲射中的概率 0.1 0.2 0.3 0.4乙射中的概率 0.15 0.25 0.4 0.2類(lèi)似兩組數(shù)據(jù)的比較,首先比較擊中的平均環(huán)數(shù),如果平均環(huán)數(shù)相等,再看穩(wěn)定性.假設(shè)甲射箭n次,射中7環(huán)、8環(huán)、9環(huán)和10環(huán)的頻率分別為:甲n次射箭射中的平均環(huán)數(shù)當(dāng)n足夠大時(shí),頻率穩(wěn)定于概率,所以x穩(wěn)定于7×0.1+8×0.2+9×0.3+10×0.4=9.即甲射中平均環(huán)數(shù)的穩(wěn)定值(理論平均值)為9,這個(gè)平均值的大小可以反映甲運(yùn)動(dòng)員的射箭水平.同理,乙射中環(huán)數(shù)的平均值為7×0.15+8×0.25+9×0.4+10×0.2=8.65.
溫故知新 1.離散型隨機(jī)變量的定義可能取值為有限個(gè)或可以一一列舉的隨機(jī)變量,我們稱(chēng)為離散型隨機(jī)變量.通常用大寫(xiě)英文字母表示隨機(jī)變量,例如X,Y,Z;用小寫(xiě)英文字母表示隨機(jī)變量的取值,例如x,y,z.隨機(jī)變量的特點(diǎn): 試驗(yàn)之前可以判斷其可能出現(xiàn)的所有值,在試驗(yàn)之前不可能確定取何值;可以用數(shù)字表示2、隨機(jī)變量的分類(lèi)①離散型隨機(jī)變量:X的取值可一、一列出;②連續(xù)型隨機(jī)變量:X可以取某個(gè)區(qū)間內(nèi)的一切值隨機(jī)變量將隨機(jī)事件的結(jié)果數(shù)量化.3、古典概型:①試驗(yàn)中所有可能出現(xiàn)的基本事件只有有限個(gè);②每個(gè)基本事件出現(xiàn)的可能性相等。二、探究新知探究1.拋擲一枚骰子,所得的點(diǎn)數(shù)X有哪些值?取每個(gè)值的概率是多少? 因?yàn)閄取值范圍是{1,2,3,4,5,6}而且"P(X=m)"=1/6,m=1,2,3,4,5,6.因此X分布列如下表所示
1.對(duì)稱(chēng)性與首末兩端“等距離”的兩個(gè)二項(xiàng)式系數(shù)相等,即C_n^m=C_n^(n"-" m).2.增減性與最大值 當(dāng)k(n+1)/2時(shí),C_n^k隨k的增加而減小.當(dāng)n是偶數(shù)時(shí),中間的一項(xiàng)C_n^(n/2)取得最大值;當(dāng)n是奇數(shù)時(shí),中間的兩項(xiàng)C_n^((n"-" 1)/2) 與C_n^((n+1)/2)相等,且同時(shí)取得最大值.探究2.已知(1+x)^n =C_n^0+C_n^1 x+...〖+C〗_n^k x^k+...+C_n^n x^n 3.各二項(xiàng)式系數(shù)的和C_n^0+C_n^1+C_n^2+…+C_n^n=2n.令x=1 得(1+1)^n=C_n^0+C_n^1 +...+C_n^n=2^n所以,(a+b)^n 的展開(kāi)式的各二項(xiàng)式系數(shù)之和為2^n1. 在(a+b)8的展開(kāi)式中,二項(xiàng)式系數(shù)最大的項(xiàng)為 ,在(a+b)9的展開(kāi)式中,二項(xiàng)式系數(shù)最大的項(xiàng)為 . 解析:因?yàn)?a+b)8的展開(kāi)式中有9項(xiàng),所以中間一項(xiàng)的二項(xiàng)式系數(shù)最大,該項(xiàng)為C_8^4a4b4=70a4b4.因?yàn)?a+b)9的展開(kāi)式中有10項(xiàng),所以中間兩項(xiàng)的二項(xiàng)式系數(shù)最大,這兩項(xiàng)分別為C_9^4a5b4=126a5b4,C_9^5a4b5=126a4b5.答案:1.70a4b4 126a5b4與126a4b5 2. A=C_n^0+C_n^2+C_n^4+…與B=C_n^1+C_n^3+C_n^5+…的大小關(guān)系是( )A.A>B B.A=B C.A<B D.不確定 解析:∵(1+1)n=C_n^0+C_n^1+C_n^2+…+C_n^n=2n,(1-1)n=C_n^0-C_n^1+C_n^2-…+(-1)nC_n^n=0,∴C_n^0+C_n^2+C_n^4+…=C_n^1+C_n^3+C_n^5+…=2n-1,即A=B.答案:B
1.確定研究對(duì)象,明確哪個(gè)是解釋變量,哪個(gè)是響應(yīng)變量;2.由經(jīng)驗(yàn)確定非線性經(jīng)驗(yàn)回歸方程的模型;3.通過(guò)變換,將非線性經(jīng)驗(yàn)回歸模型轉(zhuǎn)化為線性經(jīng)驗(yàn)回歸模型;4.按照公式計(jì)算經(jīng)驗(yàn)回歸方程中的參數(shù),得到經(jīng)驗(yàn)回歸方程;5.消去新元,得到非線性經(jīng)驗(yàn)回歸方程;6.得出結(jié)果后分析殘差圖是否有異常 .跟蹤訓(xùn)練1.一只藥用昆蟲(chóng)的產(chǎn)卵數(shù)y與一定范圍內(nèi)的溫度x有關(guān),現(xiàn)收集了6組觀測(cè)數(shù)據(jù)列于表中: 經(jīng)計(jì)算得: 線性回歸殘差的平方和: ∑_(i=1)^6?〖(y_i-(y_i ) ?)〗^2=236,64,e^8.0605≈3167.其中 分別為觀測(cè)數(shù)據(jù)中的溫度和產(chǎn)卵數(shù),i=1,2,3,4,5,6.(1)若用線性回歸模型擬合,求y關(guān)于x的回歸方程 (精確到0.1);(2)若用非線性回歸模型擬合,求得y關(guān)于x回歸方程為 且相關(guān)指數(shù)R2=0.9522. ①試與(1)中的線性回歸模型相比較,用R2說(shuō)明哪種模型的擬合效果更好 ?②用擬合效果好的模型預(yù)測(cè)溫度為35℃時(shí)該種藥用昆蟲(chóng)的產(chǎn)卵數(shù).(結(jié)果取整數(shù)).
課程分析中專(zhuān)數(shù)學(xué)課程教學(xué)是專(zhuān)業(yè)建設(shè)與專(zhuān)業(yè)課程體系改革的一部分,應(yīng)與專(zhuān)業(yè)課教學(xué)融為一體,立足于為專(zhuān)業(yè)課服務(wù),解決實(shí)際生活中常見(jiàn)問(wèn)題,結(jié)合中專(zhuān)學(xué)生的實(shí)際,強(qiáng)調(diào)數(shù)學(xué)的應(yīng)用性,以滿足學(xué)生在今后的工作崗位上的實(shí)際應(yīng)用為主,這也體現(xiàn)了新課標(biāo)中突出應(yīng)用性的理念。分段函數(shù)的實(shí)際應(yīng)用在本課程中的地位:(1) 函數(shù)是中專(zhuān)數(shù)學(xué)學(xué)習(xí)的重點(diǎn)和難點(diǎn),函數(shù)的思想貫穿于整個(gè)中專(zhuān)數(shù)學(xué)之中,分段函數(shù)在科技和生活的各個(gè)領(lǐng)域有著十分廣泛的應(yīng)用。(2) 本節(jié)所探討學(xué)習(xí)分段函數(shù)在生活生產(chǎn)中的實(shí)際問(wèn)題上應(yīng)用,培養(yǎng)學(xué)生分析與解決問(wèn)題的能力,養(yǎng)成正確的數(shù)學(xué)化理性思維的同時(shí),形成一種意識(shí),即數(shù)學(xué)“源于生活、寓于生活、用于生活”。教材分析 教材使用的是中等職業(yè)教育課程改革國(guó)家規(guī)劃教材,依照13級(jí)教學(xué)計(jì)劃,函數(shù)的實(shí)際應(yīng)用舉例內(nèi)容安排在第三章函數(shù)的最后一部分講解。本節(jié)內(nèi)容是在學(xué)生熟知函數(shù)的概念,表示方法和對(duì)函數(shù)性質(zhì)有一定了解的基礎(chǔ)上研究分段函數(shù),同時(shí)深化學(xué)生對(duì)函數(shù)概念的理解和認(rèn)識(shí),也為接下來(lái)學(xué)習(xí)指數(shù)函數(shù)和對(duì)數(shù)函數(shù)作了良好鋪墊。根據(jù)13級(jí)學(xué)生實(shí)際情況,由生活生產(chǎn)中的實(shí)際問(wèn)題入手,求得分段函數(shù)此部分知識(shí)以學(xué)生生活常識(shí)為背景,可以引導(dǎo)學(xué)生分析得出。
一、教材分析“商中間、末尾有0的除法”是人教版義務(wù)教育課程標(biāo)準(zhǔn)實(shí)驗(yàn)教材數(shù)學(xué)三年級(jí)下冊(cè)第二單元“除數(shù)是一位數(shù)的除法”的最后一部分內(nèi)容。屬于“數(shù)與代數(shù)”的知識(shí)領(lǐng)域的數(shù)的計(jì)算。例6是其中“被除數(shù)哪一位上的數(shù)是0且前面沒(méi)有余數(shù)時(shí)要在商這一位上寫(xiě)0”的情況。在這一例題之前,教材先安排了“基本的筆算除法”和“除法的驗(yàn)算”內(nèi)容。因此,在學(xué)習(xí)本例題之前,學(xué)生對(duì)“除數(shù)是一位數(shù)的除法”的算理、算法已經(jīng)基本掌握,因此有了一定的基礎(chǔ)。“商中間、末尾有0的除法”只是除法中的特殊情況,是除法計(jì)算法則的補(bǔ)充,也是這一單元的難點(diǎn)內(nèi)容。關(guān)鍵是讓學(xué)生親歷“0占位”的思維過(guò)程,為以后四年級(jí)學(xué)習(xí)“除數(shù)是兩位數(shù)或多位數(shù)”的除法奠定基礎(chǔ)。
二、說(shuō)教法科學(xué)合理的教學(xué)方法能使教學(xué)效果事半功倍,達(dá)到教與學(xué)的和諧完美統(tǒng)一?;诖?,我準(zhǔn)備采用的教法是品詞品讀法和想象描述法。1.根據(jù)本課的教學(xué)重點(diǎn),采用品詞品讀法,引導(dǎo)學(xué)生感知理解詞語(yǔ),品味詞語(yǔ)的準(zhǔn)確、生動(dòng),并通過(guò)反復(fù)地朗讀訓(xùn)練,積累好詞,培養(yǎng)語(yǔ)感。2.根據(jù)本課教材的特點(diǎn)和學(xué)生想象思維活躍的學(xué)習(xí)心理,采用了“想象描述法”,憑借課文的語(yǔ)言文字創(chuàng)設(shè)情境、想象情境,讓學(xué)生披文入境,品詞品讀,并進(jìn)行寫(xiě)作訓(xùn)練。三、說(shuō)學(xué)法學(xué)法上,我貫徹的指導(dǎo)思想是把“學(xué)習(xí)的主動(dòng)權(quán)還給學(xué)生”,倡導(dǎo)“自主、合作、探究”的學(xué)習(xí)方式,具體的學(xué)法是運(yùn)用“讀讀、想想、議議”的學(xué)習(xí)方法,通過(guò)朗讀課文,品詞析句、展開(kāi)聯(lián)想等多種途徑,訓(xùn)練語(yǔ)言表達(dá)、思維、朗讀的能力,積累規(guī)范語(yǔ)言,體味作品的語(yǔ)言美。此外我準(zhǔn)備用多媒體手段輔助教學(xué)。