
The theme of this section is “Talk about festival activities and festival experiences”.Festival and holiday is a relaxing and interesting topic for students. This part talks about the topic from the daily life of students’. In the part A ---Listening and Speaking, there are three conversations among different speakers from three countries(Japan, Rio and China), where the speakers are participating in or going to participate in the festivals and celebrations. So listening for the relationship among them is a fundamental task. Actually, with the globalization and more international communication, it is normal for Chinese or foreigners to witness different festivals and celebrations in or out of China. In the Conversation 1, a foreign reporter is interviewing a Japanese young girl who just had participated in the ceremony of the Coming-of-Age Day on the street and asking her feeling about the ceremony and the afterwards activities. Conversation 2, Chinese girl Li Mei is witnessing the Rio Carnival for the first time, and her friend Carla gives her some advice on the costumes which enables her to match with the carnival to have a good time. Conversation 3, a Chinese guide is showing a group of foreign visitors around the Lantern Festival and introducing the customs of the festival to them. The three conversations have a strong vitality and insert the festival and cultural elements from different countries. So perceiving the festivals and cultures from different countries is the second task. At the same time, the scripts also insert the targeted grammar --- v-ing as attributive and predicative, which students can perceive and experience in a real context and make a road for the further study. That is the third task. In the Part B--- Listening and Talking, the theme is “Talk about festival experience”, which is the common topic in our daily conversations. During the conversation, Song Lin, a Chinese student, asked Canadian friend Max about how to spend Christmas. In the conversation, Song Lin talked about experience and the feelings during the Chinese Spring Festival, during which there are not only some enjoyable things but some unpleasant things. After the listening, perhaps students find there are some similarities between Christmas and the Chinese Spring Festival as there are some differences in the origins and celebrations. For example, people always visit friends and relatives, decorate their houses, have a big dinner together, chat and give presents to each other.

Step 3 Analyzing article structureActivity 31. Teachers raise questions to guide students to analyze the chapter structure of this diary and think about how to describe the festival experience. (1)What should be included in the opening/body/closing paragraph(s)?(2)How did the writer arrange his/her ideas?(3)What kind of interesting details did the writer describe?(4)How did the writer describe his/her feelings/emotions during the event?2. Students read and compare the three sentence patterns in activity 2. Try to rewrite the first paragraph of the diary with these three sentence patterns. After that, students exchange corrections with their partners. Such as:●This was my first time spending three days experiencing the Naadam Festival in China’s Inner Mongolia Autonomous Region and it was an enjoyable and exciting experience. ●I'll never forget my experience at the Naadam Festival because it was my first time to watch the exciting Mongolian games of horse racing, wrestling, and archery so closely. ●I'll always remember my first experience at the Naadam Festival in China’s Inner Mongolia Autonomous Region because it was so amazing to spend three days witnessing a grand Mongolian ceremony. Step 4 Accumulation of statementsActivity 41. Ask the students to read the diary again. Look for sentences that express feelings and emotions, especially those with the -ing form and the past participle. Such as:● …h(huán)orse racing, wrestling, and archery, which are all so exciting to watch. ● some amazing performances● I was surprised to see…● I was a little worried about. . . ● feeling really tiredOther emotional statements:●I absolutely enjoyed the archery, too, but the horse races were my favourite part. ●I'm finally back home now, feeling really tired, but celebrating Naadam with my friend was totally worth it. ●He invited me back for the winter to stay in a traditional Mongolian tent and cat hot pot. I can’t wait!2. In addition to the use of the -ing form and the past participle, the teacher should guide the students in the appreciation of these statements, ask them to memorize them, and encourage them to use them reasonably in writing practice.

1. 表示時(shí)間。Hearing these stories, I’m skeptical about the place. = When I heard these stories. . . 2. 表示原因。Not knowing his address, I can’t send this book to him. = Because/Since/As I don’t know his address. . . 3. 表示結(jié)果。His father died, leaving him a lot of money. =. . . and left him a lot of money4. 表示條件。Going straight down the road, you will find the department store. = If you go straight down the road. . . 5. 表示讓步。Being tired, they went on working. =Although they were tired. . . 6. 表示行為方式、伴隨情況或補(bǔ)充說(shuō)明。He lay on the grass, staring at the sky for a long time. =. . . and stared at the sky for a long time注意:非謂語(yǔ)動(dòng)詞作狀語(yǔ)時(shí), 如所提供的動(dòng)詞不能和句子中的主語(yǔ)保持一致, 動(dòng)詞-ing形式必須有自己的邏輯主語(yǔ), 通常由名詞或代詞來(lái)?yè)?dān)任, 這就是獨(dú)立主格結(jié)構(gòu)。The last bus having gone, we had to walk home. (having gone的邏輯主語(yǔ)是the last bus, 而不是we)Weather permitting, the football match will be played on Friday. (permitting的邏輯主語(yǔ)是time, 而不是the football match)Step 7 Practice1. ________(study) hard, you are sure to get first prize. 2. People use plastic in their daily life, _______(leave) large amounts of waste. 3. ________(work) hard at your lessons, you are to succeed. 4. The old man, ____________(work) abroad for twenty years, is on the way back to his motherland. 5. ______________(finish) his homework, he was playing on the playground. Answers: 1. Studying 2. leaving 3. Working 4.having worked 5. Having finishedStep 8 HomeworkFinish the homework on Page 22.

Example:One day, a poor boy who was trying to pay his way through school by sending newspapers door to door found that he only had one dime(一角)left. He was so hungry that he decided to beg for a meal at the next house.However, he lost his nerve when a lovely young woman opened the door. Instead of a meal he asked for a drink of water. She thought he looked hungry so she brought him a large glass of milk. He drank it slowly, and then asked, “How much do I owe you?” “You don’t owe me anything,” she replied, “Mother has taught me never to accept pay for a kindness.” “Then I thank you from the bottom of my heart.” With these words, Howard Kelly left that house.Years later the woman became badly ill and was finally sent to the hospital in a big city. Dr. Howard Kelly, now famous, was called in. When he heard the name of the town she came from, a strange light filled his eyes. Dressed in his doctor’s clothes, Dr. Kelly went into her room and recognized her at once. From that day on, he gave special attention to her, and decided to do his best to save her life.At last the woman was saved. Dr. Kelly asked the business office to pass the final bill to him. He looked at it and then wrote something on the side. The bill was sent to the woman’s room. She was afraid to open it because she was sure that it would take the rest of her life to pay for it off. Finally she looked, and the note on the side of the bill caught her attention. She read these words: “Paid in full with a glass of milk, Dr. Howard Kelly.” Tear of joy flooded her eyes.

1. 這個(gè)寓言是一個(gè)關(guān)于一位國(guó)王古寓言。 The fable is an old fable about a king.2.作者用這個(gè)故事讓讀者對(duì)于社區(qū)的問(wèn)題負(fù)有個(gè)人責(zé)任的必要印象深刻。The author used the story to impress upon readers with the need to take personal responsibility for problems in the community.3. 這個(gè)故事十分成功的實(shí)現(xiàn)了它的目的。The story was quite successful in achieving its purpose.Step 7 WritingPlease write a review of the story according the outline above.The fable is an old fable about a king who thought his people are lazy, so he put a large stone in the middle of the road and hides and waited to see if anyone will try to move it.The author used this story to impress upon readers with the need to take personal responsibility for problems in the community. The story was quite successful in achieving its purpose, and I liked it because it had a clear moral.However, while the moral of the story is clear, the actions of the king seemed pointless to me, because none of the characters in the story learnt anything. For this reason, I think there are better stories that can be used to impress upon people with the need for personal responsibility.Step 8 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Does the writer give a short description of the story ?2. Does the description include the most important details of the story ?3. Does the writer give his or her opinion about the character or their actions ?4. Is the review well-organised ? 5. Does the writer use the -ing form as the adverbial correctly in the writing ?6. Are there any grammar, spelling, or punctuation errors ?Step 9 HomeworkPut up your revised draft in the classroom or read it to your class.

Listening and Speaking introduces the topic of “talking about how to become an astronaut”. This period is aimed to inform students some details about the requirements of being an astronaut. Students can be motivated and inspired by the astronauts. Teachers ought to encourage students to learn from them and let them aim high and dream big.Listening and Talking introduces the theme of "talk about life in space". This part also informs students more details about life in space and can inspire students to be curious about this job. 1. Guide students to listen for numbers concerning dates, years and ages etc2. Cultivate students' ability to talk about how to become an astronaut and life in space ; 3. Instruct students to use functional sentences of the dialogue such as “ first of all, I am not sure, so what might be .. I guess.. I wonder…I am curious…)appropriately.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to guess the meaning of words in listening; discuss with their peers how to become a qualified astronaut and describe the life in space.Part 1: Listening and SpeakingStep 1: Lead inPredictionThe teacher can ask students to predict what the listening text is about by looking at the pictures.About how to become an astronaut./the requirements of an astronautStep 2: Then, play the radio which is about an interview a. And after finishing listening for the first time, the students need to solve the following tasks.

The theme of the section is “Describe space facts and efforts to explore space”. Infinitives are one of non-finite verbs, as the subjects, objects, predicative, attributes and adverbials. This unit is about space exploration, which is a significant scientific activity, so every scientific activity has strong planning. Therefore, using the infinitives to show its purpose, explanations or restrictions is the best choice.1. Learn the structure, functions and features of infinitives.2. Learn to summarize some rules about infinitives to show purpose and modify.3. Learn to use infinitives in oral and writing English. 1. Learn the structure, functions and features of infinitives.2. Learn to summarize some rules about infinitives to show purpose and modify.3. Learn to use use infinitives in oral and writing English.Step 1 Lead in---Pair workLook at the following sentences and focus on the italicized infinitives. In pairs, discuss their functions. 1. I trained for a long time to fly airplanes as a fighter pilot..(作目的狀語(yǔ))2. As we all know, an astronaut needs to be healthy and calm in order to work in space..(作目的狀語(yǔ))3. First of all, you must be intelligent enough to get a related college degree..(作目的狀語(yǔ))4. Some scientist were determined to help humans realise their dream to explore space..(作定語(yǔ))5. On 12 April 1961, Yuri Gagarin became the first person in the world to go into space..(作定語(yǔ))Summary:1. 不定式的結(jié)構(gòu):to+do原形。2. 分析上面的句子,我們知道在描述太空探索時(shí),動(dòng)詞不定式不僅可以用來(lái)表目的,還可以用來(lái)作定語(yǔ),表修飾。

The theme of this unit focuses on “space exploration.” Students will learn about the training and experience needed to become an astronaut. The text is mainly about the development of space exploration. On the one hand, the text helps students to have a good understanding about the great feats humans have achieved, on the other hand, they will further understand the contributions that we Chinese have achieved, and feel confident and proud about our homeland and strengthen their love for our country. The teacher should instruct students to aim high and study harder to make great progress in the space career if possible.1. Read about the development and value of space exploration.2. Explore the mysteries of the universe and the achievements in space exploration.3. Skillfully use the vocabulary of this text to cultivate self-study ability 4. Develop cooperative learning ability through discussion.1. Enable the Ss to talk about the development and value of space exploration.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.3. Help Ss comprehend the main reasons for space exploration. Multi-media, textbook, notebooks.Step 1: Warming up and predictionLook at the title and the pictures of the text and predict what the text will be about?2. What are the main reasons for space exploration?

⑦在我看來(lái), 探索太空是值得的。As far as I am concerned, it is worthwhile to explore the space.Step 10 Writing---draftRecently, students in our class have had heated a discussion on whether space is worth exploring. Students hold different ideas about it.30% of us think space exploration is not worthwhile. They think space is too far away from us and our daily life and is a waste of money. And the money spent on space exploration can be used to solve the earth’s problems such as starvation and pollution.On the other hand,70% think space is worth exploring because we have benefited a lot from it,such as using satellites for communication and weather forecast. What’s more,with further space research,we may solve the population problem by moving to other planets one day. Also,space research will enable us to find new sources to solve the problem of energy shortages on the earth.As far as I am concerned, it is worthwhile to explore the space. Not only can it promote the development of society but also enrich our life. Step 11 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1.Does the writer explain why he/she changed/wanted to change?2.Does the writer tell how the changes have improved or will improve his/her life?3.Is the text well-organised?4.Does the writer use words and expressions to show similarities and differences?5.Are there any grammar or spelling errors?6.Does the writer use correct punctuation?

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.

【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!

1、交流分享,說(shuō)說(shuō)生活中的垃圾。 師:孩子們,老師給大家布置了任務(wù),請(qǐng)大家記錄這幾天家里產(chǎn)生的垃圾,你們完成了嗎?(完成了)快把記錄結(jié)果和旁邊的小伙伴說(shuō)說(shuō)吧! (1)小組交流。(拿著記錄表,互相說(shuō)說(shuō)) (2)個(gè)幼介紹。(誰(shuí)想把記錄結(jié)果說(shuō)給大家聽(tīng)聽(tīng)?)

(2)、中國(guó)堅(jiān)持以互利合作實(shí)現(xiàn)共同繁榮----促進(jìn)共同發(fā)展中國(guó)堅(jiān)持以互利合作實(shí)現(xiàn)共同繁榮。中國(guó)連續(xù)擔(dān)任經(jīng)社理事會(huì)理事國(guó),積極參與經(jīng)社系統(tǒng)有關(guān)經(jīng)濟(jì)和社會(huì)發(fā)展的重要國(guó)際會(huì)議和其他活動(dòng)并承辦了聯(lián)合國(guó)第四次世界婦女大會(huì)。中國(guó)積極推動(dòng)南北對(duì)話和南南合作,敦促發(fā)達(dá)國(guó)家為實(shí)現(xiàn)全球普遍、協(xié)調(diào)、均衡發(fā)展承擔(dān)更多責(zé)任。中國(guó)加人多項(xiàng)國(guó)際人權(quán)公約并認(rèn)真履行公約義務(wù),與聯(lián)合國(guó)人權(quán)事務(wù)高級(jí)專員保持良好合作,與多國(guó)展開(kāi)人權(quán)對(duì)話。相關(guān)鏈接:1995年9月,聯(lián)合國(guó)第四次世界婦女大會(huì)在北京舉行。來(lái)自197個(gè)國(guó)家和地區(qū)以及眾多國(guó)際組織的1.76萬(wàn)名代表圍繞會(huì)議主題“以行動(dòng)謀求平等、發(fā)展與和平”展開(kāi)熱烈討論。會(huì)議通過(guò)了《北京宣言》和《行動(dòng)綱領(lǐng)》,為全球婦女事業(yè)的發(fā)展注入了新的活力。

一、教學(xué)目標(biāo)(一)知識(shí)教育點(diǎn)使學(xué)生掌握拋物線的定義、拋物線的標(biāo)準(zhǔn)方程及其推導(dǎo)過(guò)程.(二)能力訓(xùn)練點(diǎn)要求學(xué)生進(jìn)一步熟練掌握解析幾何的基本思想方法,提高分析、對(duì)比、概括、轉(zhuǎn)化等方面的能力.(三)學(xué)科滲透點(diǎn)通過(guò)一個(gè)簡(jiǎn)單實(shí)驗(yàn)引入拋物線的定義,可以對(duì)學(xué)生進(jìn)行理論來(lái)源于實(shí)踐的辯證唯物主義思想教育.二、教材分析1.重點(diǎn):拋物線的定義和標(biāo)準(zhǔn)方程.2.難點(diǎn):拋物線的標(biāo)準(zhǔn)方程的推導(dǎo).三、活動(dòng)設(shè)計(jì)提問(wèn)、回顧、實(shí)驗(yàn)、講解、板演、歸納表格.四、教學(xué)過(guò)程(一)導(dǎo)出課題我們已學(xué)習(xí)了圓、橢圓、雙曲線三種圓錐曲線.今天我們將學(xué)習(xí)第四種圓錐曲線——拋物線,以及它的定義和標(biāo)準(zhǔn)方程.課題是“拋物線及其標(biāo)準(zhǔn)方程”.首先,利用籃球和排球的運(yùn)動(dòng)軌跡給出拋物線的實(shí)際意義,再利用太陽(yáng)灶和拋物線型的橋說(shuō)明拋物線的實(shí)際用途。

教學(xué)準(zhǔn)備 1. 教學(xué)目標(biāo) 知識(shí)與技能掌握雙曲線的定義,掌握雙曲線的四種標(biāo)準(zhǔn)方程形式及其對(duì)應(yīng)的焦點(diǎn)、準(zhǔn)線.過(guò)程與方法掌握對(duì)雙曲線標(biāo)準(zhǔn)方程的推導(dǎo),進(jìn)一步理解求曲線方程的方法——坐標(biāo)法.通過(guò)本節(jié)課的學(xué)習(xí),提高學(xué)生觀察、類比、分析和概括的能力.情感、態(tài)度與價(jià)值觀通過(guò)本節(jié)的學(xué)習(xí),體驗(yàn)研究解析幾何的基本思想,感受圓錐曲線在刻畫(huà)現(xiàn)實(shí)和解決實(shí)際問(wèn)題中的作用,進(jìn)一步體會(huì)數(shù)形結(jié)合的思想.2. 教學(xué)重點(diǎn)/難點(diǎn) 教學(xué)重點(diǎn)雙曲線的定義及焦點(diǎn)及雙曲線標(biāo)準(zhǔn)方程.教學(xué)難點(diǎn)在推導(dǎo)雙曲線標(biāo)準(zhǔn)方程的過(guò)程中,如何選擇適當(dāng)?shù)淖鴺?biāo)系. 3. 教學(xué)用具 多媒體4. 標(biāo)簽

教 學(xué) 過(guò) 程教師 行為學(xué)生 行為教學(xué) 意圖時(shí)間 *揭示課題 8.4 圓(二) *創(chuàng)設(shè)情境 興趣導(dǎo)入 【知識(shí)回顧】 我們知道,平面內(nèi)直線與圓的位置關(guān)系有三種(如圖8-21): (1)相離:無(wú)交點(diǎn); (2)相切:僅有一個(gè)交點(diǎn); (3)相交:有兩個(gè)交點(diǎn). 并且知道,直線與圓的位置關(guān)系,可以由圓心到直線的距離d與半徑r的關(guān)系來(lái)判別(如圖8-22): (1):直線與圓相離; (2):直線與圓相切; (3):直線與圓相交. 介紹 講解 說(shuō)明 質(zhì)疑 引導(dǎo) 分析 了解 思考 思考 帶領(lǐng) 學(xué)生 分析 啟發(fā) 學(xué)生思考 0 15*動(dòng)腦思考 探索新知 【新知識(shí)】 設(shè)圓的標(biāo)準(zhǔn)方程為 , 則圓心C(a,b)到直線的距離為 . 比較d與r的大小,就可以判斷直線與圓的位置關(guān)系. 講解 說(shuō)明 引領(lǐng) 分析 思考 理解 帶領(lǐng) 學(xué)生 分析 30*鞏固知識(shí) 典型例題 【知識(shí)鞏固】 例6 判斷下列各直線與圓的位置關(guān)系: ⑴直線, 圓; ⑵直線,圓. 解 ⑴ 由方程知,圓C的半徑,圓心為. 圓心C到直線的距離為 , 由于,故直線與圓相交. ⑵ 將方程化成圓的標(biāo)準(zhǔn)方程,得 . 因此,圓心為,半徑.圓心C到直線的距離為 , 即由于,所以直線與圓相交. 【想一想】 你是否可以找到判斷直線與圓的位置關(guān)系的其他方法? *例7 過(guò)點(diǎn)作圓的切線,試求切線方程. 分析 求切線方程的關(guān)鍵是求出切線的斜率.可以利用原點(diǎn)到切線的距離等于半徑的條件來(lái)確定. 解 設(shè)所求切線的斜率為,則切線方程為 , 即 . 圓的標(biāo)準(zhǔn)方程為 , 所以圓心,半徑. 圖8-23 圓心到切線的距離為 , 由于圓心到切線的距離與半徑相等,所以 , 解得 . 故所求切線方程(如圖8-23)為 , 即 或. 說(shuō)明 例題7中所使用的方法是待定系數(shù)法,在利用代數(shù)方法研究幾何問(wèn)題中有著廣泛的應(yīng)用. 【想一想】 能否利用“切線垂直于過(guò)切點(diǎn)的半徑”的幾何性質(zhì)求出切線方程? 說(shuō)明 強(qiáng)調(diào) 引領(lǐng) 講解 說(shuō)明 引領(lǐng) 講解 說(shuō)明 觀察 思考 主動(dòng) 求解 思考 主動(dòng) 求解 通過(guò)例題進(jìn)一步領(lǐng)會(huì) 注意 觀察 學(xué)生 是否 理解 知識(shí) 點(diǎn) 50

本人所教的兩個(gè)班級(jí)學(xué)生普遍存在著數(shù)學(xué)科基礎(chǔ)知識(shí)較為薄弱,計(jì)算能力較差,綜合能力不強(qiáng),對(duì)數(shù)學(xué)學(xué)習(xí)有一定的困難。在課堂上的主體作用的體現(xiàn)不是太充分,但是他們能意識(shí)到自己的不足,對(duì)數(shù)學(xué)課的學(xué)習(xí)興趣高,積極性強(qiáng)。 學(xué)生在學(xué)習(xí)交往上表現(xiàn)為個(gè)別化學(xué)習(xí),課堂上較為依賴?yán)蠋煹囊龑?dǎo)。學(xué)生的群體性小組交流能力與協(xié)同討論學(xué)習(xí)的能力不強(qiáng),對(duì)學(xué)習(xí)資源和知識(shí)信息的獲取、加工、處理和綜合的能力較低。在教學(xué)中盡量分析細(xì)致,減少跨度較大的環(huán)節(jié),對(duì)重要的推導(dǎo)過(guò)程采用板書(shū)方式逐步進(jìn)行,力求讓絕大多數(shù)學(xué)生接受。 1.理解橢圓標(biāo)準(zhǔn)方程的推導(dǎo);掌握橢圓的標(biāo)準(zhǔn)方程;會(huì)根據(jù)條件求橢圓的標(biāo)準(zhǔn)方程,會(huì)根據(jù)橢圓的標(biāo)準(zhǔn)方程求焦點(diǎn)坐標(biāo). 2.通過(guò)橢圓圖形的研究和標(biāo)準(zhǔn)方程的討論,使學(xué)生掌握橢圓的幾何性質(zhì),能正確地畫(huà)出橢圓的圖形,并了解橢圓的一些實(shí)際應(yīng)用。 1.讓學(xué)生經(jīng)歷橢圓標(biāo)準(zhǔn)方程的推導(dǎo)過(guò)程,進(jìn)一步掌握求曲線方程的一般方法,體會(huì)數(shù)形結(jié)合等數(shù)學(xué)思想;培養(yǎng)學(xué)生運(yùn)用類比、聯(lián)想等方法提出問(wèn)題. 2.培養(yǎng)學(xué)生運(yùn)用數(shù)形結(jié)合的思想,進(jìn)一步掌握利用方程研究曲線的基本方法,通過(guò)與橢圓幾何性質(zhì)的對(duì)比來(lái)提高學(xué)生聯(lián)想、類比、歸納的能力,解決一些實(shí)際問(wèn)題。 1.通過(guò)具體的情境感知研究橢圓標(biāo)準(zhǔn)方程的必要性和實(shí)際意義;體會(huì)數(shù)學(xué)的對(duì)稱美、簡(jiǎn)潔美,培養(yǎng)學(xué)生的審美情趣,形成學(xué)習(xí)數(shù)學(xué)知識(shí)的積極態(tài)度. 2.進(jìn)一步理解并掌握代數(shù)知識(shí)在解析幾何運(yùn)算中的作用,提高解方程組和計(jì)算能力,通過(guò)“數(shù)”研究“形”,說(shuō)明“數(shù)”與“形”存在矛盾的統(tǒng)一體中,通過(guò)“數(shù)”的變化研究“形”的本質(zhì)。幫助學(xué)生建立勇于探索創(chuàng)新的精神和克服困難的信心。

3)乘除運(yùn)算①有理數(shù)的乘法法則:(老師給出,學(xué)生一起朗讀)1. 兩數(shù)相乘,同號(hào)得正,異號(hào)得負(fù),并把絕對(duì)值相乘;2. 任何數(shù)與零相乘都得零;3. 幾個(gè)不等于零的數(shù)相乘,積的符號(hào)由負(fù)因數(shù)的個(gè)數(shù)決定,當(dāng)負(fù)因數(shù)有奇數(shù)個(gè)數(shù),積為負(fù);當(dāng)負(fù)因數(shù)的個(gè)數(shù)為偶數(shù)個(gè)時(shí),積為正;4. 幾個(gè)有理數(shù)相乘,若其中有一個(gè)為零,積就為零。②有理數(shù)的除法法則:(老師提問(wèn),學(xué)生回答)1. 兩個(gè)有理數(shù)相除,同號(hào)得正,異號(hào)得負(fù),并把絕對(duì)值相除;2. 除以一個(gè)數(shù)等于乘以這個(gè)數(shù)的倒數(shù)。③關(guān)系(老師給出)除法轉(zhuǎn)化為乘法進(jìn)行運(yùn)算。
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