
【教學(xué)過程】導(dǎo)入:如果說唐詩是中國(guó)文學(xué)史中的一朵奇葩,那孟浩然則是點(diǎn)綴其上的一滴晶瑩露珠,其充滿魅力與特色的詩風(fēng)在盛唐獨(dú)樹一幟,也為其在人才濟(jì)濟(jì)的詩史上刻下了永恒的印記。同學(xué)們能否先回憶一下,我們學(xué)過的孟浩然的詩歌有哪些?(《春曉》、《宿建德江》、《望洞庭湖贈(zèng)張丞相》、《過故人莊》。)我們常說"中國(guó)古詩寫胸襟,是人格美的自然流露",那么孟詩在語言和思想情感上留給你怎樣的印象和感受?整體感知:本文作者聞一多先生也是一位詩人,所謂"英雄惜英雄",相同的志向與情趣使聞一多似乎帶著我們?cè)谂c孟浩然進(jìn)行了一場(chǎng)心靈的對(duì)話。那么同學(xué)們?cè)诳焖匍喿x文章之后,能否先找出作者是選擇了一個(gè)怎樣的角度對(duì)孟浩然評(píng)價(jià)的?(詩如其人,人如其詩。)

六、到此為止,我們了解到,作者對(duì)“笑”鯤鵬和別人的蜩與學(xué)鳩、斥鴳、宋榮子都一一作了否定。那么請(qǐng)大家討論一下,1、作者對(duì)鯤鵬和“知效一官,行比一鄉(xiāng),德合一君,而征一國(guó)者”是不是肯定呢?明確:也都作了否定。否定后者好理解,關(guān)鍵是否定前者不好理解,因?yàn)椤蚌H鵬展翅”早已作為積極的意象被人們廣泛引用。但在本文中,作者在講述這一寓言故事時(shí),突出的不是鯤鵬本身,而是風(fēng)力,“故九萬里,風(fēng)斯在下矣,而后乃今培風(fēng);背負(fù)青天,而莫之夭閼者,而后乃今將圖南”。對(duì)風(fēng)力作用的突出,實(shí)際上就是對(duì)鯤鵬的否定。作者寫了“笑”的雙方,對(duì)“笑”的一方蜩與學(xué)鳩、斥鴳、宋榮子都作了否定,對(duì)被“笑”的一方鯤鵬和“知效一官,行比一鄉(xiāng),德合一君,而征一國(guó)者”也都作了否定,并且對(duì)順便提及的野馬、塵埃、芥、大舟、朝菌、蟪蛄、冥靈、大椿、彭祖、列子等事物或者人物也都作了否定。這種全盤否定的態(tài)度,如果我們借用本文中的一個(gè)形象的詞語,可以說是:笑!是的,本文也可以說是:莊子“笑”萬物!

二、課堂教學(xué):1、學(xué)生簡(jiǎn)介背景:教師掌握:漢武帝開始對(duì)匈奴進(jìn)行長(zhǎng)期的討伐戰(zhàn)爭(zhēng),其中取得了三次具有決定意義的勝利,時(shí)間為公元前127年、前121年、前119年。匈奴的威勢(shì)大大削弱之后,表示愿意與漢講和,但雙方矛盾還是根深蒂固。所以,到公元前100年,蘇武出使匈奴時(shí),卻被扣留,并迫使他投降?!短K武傳》集中敘寫了蘇武出使匈奴被扣留期間的事跡,熱烈頌揚(yáng)了他在敵人面前富貴不能淫,貧賤不能移,威武不能屈,饑寒壓不倒,私情無所動(dòng)的浩然正氣,充分肯定了他堅(jiān)毅忠貞,大義凜然,視死如歸的民族氣節(jié)。2、作者介紹:班固(32——92年),字孟堅(jiān),扶風(fēng)安陵(今陜西咸陽市東)人。東漢著名的史學(xué)家?!逗鬂h書·班固傳》稱他“年九歲,能屬文,誦詩賦。及長(zhǎng),遂博貫載籍,九流百家之言,無不窮究。所學(xué)無常師,不為章句,舉大義而已”。其父班彪曾續(xù)司馬遷《史記》作《史記后傳》,未成而故。

【教材分析】This teaching period mainly deals with reading for writing a letter of advice. Students are expected to learn the knowledge about how to write a suggestion letter. The teacher is expected to enable students to master some writing skills concerning suggestion letters and learn to write one.【教學(xué)目標(biāo)與核心素養(yǎng)】1. Get students to have a good understanding of how to write a suggestion letter properly.2. Enable students to use some writing skills flexibly.3. Develop students’ writing and cooperating abilities.4. Strengthen students’ great interest in writing discourses.【教學(xué)重難點(diǎn)】1. How to enable students to have a good understanding of the skills of writing a suggestion letter2.How to enable students to write a good recommendation letter using some writing skills properly.【教學(xué)過程】Step 1: Lead in Begin the class with the lead-in questions: how to write a letter for advice? What kinds of aspects should be included? It is strongly recommended that the teacher should ask students to discuss the topic freely with their partners and brainstorm some ideas concerning the topic. In this way, students can come up with more ideas and avoid being nervous at the beginning of the class.Step 2: Read to discover details concerning advice letters’ writing style.The teacher is expected to ask students to read a letter offering some advice on page 18 silently and then request students to discuss the questions below.

2. Sort out detailed information about Michael Jordan.(1) Understand the transitional sentence.Q: Which part is about Michael Jordan as a master? Which part is about the example he set?(2) Have the Ss Focus on why Michael Jordan is a master and what good examples Michael Jordan set when they’re reading. And think about these questions as below:Q1: How does the author describe his impressive skills?Q2: How do you understand “time seemed to stand still”?Q3: What does “graceful” mean?Q4. Which sentence do you think best describes his mental strength?Q5. Which words is important in the sentence in describing his mental strength? Why?Q6: How do you understand “unique”?Q7: What can we learn from Michael Jordan?Step 5 Discussing and recommendingRecommend their own living legends of sports.Work in groups to choose your own living legend of sports and give the reasons of your choice. Step 6 HomeworkReview the stories of Lang Ping and Michael Jordan, and try to retell them.

Then have them write a short paragraph to describe and explain their changes. After that, get the Ss to exchange their drafts with their partners and use the checklist to give feedback on their drafts, and finally revise it.Step 5 Summary of how to write a wellness book1.健康書的審題步驟:第一步:明確要求該寫作屬于經(jīng)驗(yàn)分享,故要用第一人稱來寫;時(shí)態(tài)以一股現(xiàn)在時(shí)為主。第二步:確定段落該類文章可以從以下三個(gè)方面人手:Para.1首先表明寫作的目的Para.2自己的做法及心得體會(huì)Para.3表示期望及感謝第三步:提煉要點(diǎn)2.健康書常見句式:1) It is an honor for me to share my favorite sport with you,2) It makes me feel relaxed playing with my friends.3) It makes me rid myself of stress while playing with my friends.4) Moreover, it provides me a valuable chance to communicate with others.5) I we eat too little or too much, or if we choose the wrong food, we may become sick.6) We can do something to change the poor situation.Step 6Homework假如你的老師讓你在班級(jí)Wellness Bok上分享自己的親身經(jīng)歷及心得,請(qǐng)根據(jù)以下要點(diǎn)寫一篇80字左右的文章1. 你喜歡的運(yùn)動(dòng)是什么?2. 你最喜歡的原因是什么?3. 你參加鍛煉的體會(huì)。

【教材分析】This teaching period mainly deals with the grammar: the restrictive relative clauses.This period carries considerable significance to the cultivation of students’ writing competence and lays a solid foundation for the basic appreciation of language beauty. The teacher is expected to enable students to master this period thoroughly and consolidate the knowledge by doing some exercise of good quality.【教學(xué)目標(biāo)與核心素養(yǎng)】1. Get students to have a good understanding of the basic usages of the restrictive relative clauses.2. Enable students to use the restrictive relative clauses flexibly.3. Develop students’ speaking and cooperating abilities.4. Strengthen students’ great interest in grammar learning.【教學(xué)重難點(diǎn)】How to enable students to have a good understanding of the restrictive relative clauses, especially the uses of the relative words such as which, that, who, whom.【教學(xué)過程】Step1: 語法知識(shí)呈現(xiàn)定語從句(一)—關(guān)系代詞的用法在復(fù)合句中, 修飾名詞或代詞的從句叫定語從句。定語從句通常由關(guān)系代詞或關(guān)系副詞引導(dǎo),說明事物的具體信息,從句位于被修飾詞之后。被定語從句修飾的詞叫先行詞,引導(dǎo)定語從句的詞叫關(guān)系詞,關(guān)系詞指代先行詞,并在定語從句中充當(dāng)成分。關(guān)系詞有兩種:關(guān)系代詞who, whom ,whose, that, which, as和關(guān)系副詞when, where, why。

II Learn the technical terms-2.1. What can be used as “Subject, Object, Predicative, Direct Object, Indirect Object and objective complement” in a sentence?2. What can be used as “adverbial” in a sentence?3. What can be used as “verb” in a sentence?Answers to questions 1-3:1. Nouns, pronouns and appellations can be used as “Subject, Object, Predicative, Direct Object, Indirect Object and Objective Complement”. Besides, adjectives can be used as “Predicative and Objective Complement” in a sentence.2. Adverbs and prepositional phrases can be used as “Adverbial”.3. Verbs with actual meaning can be used as “Verb” in a sentence. Auxiliary verbs alone cannot be used as “Verb” in a sentence.III Learn to recognize the sentence structures.1. SV structure. For Example:(1) A bird flies.S V(2) A monkey jumps.S V(3) A fish swims.S V√ In SV structures, verbs are “intransitive verbs”.2. SVO structure. For Example:(1) A sheep eats grass.S V O(2) They like bananas.S V O(3) He wants candy.S V O√ In SVO structures, verbs are “transitive verbs”.3. SP structure. For Example:(1) This is great.S P (2) He looks well.S P (3) She became a teacher.S P √ In SP structures, Predicatives are formed by “l(fā)ink verbs” and “adjectives or nouns”.√ link verbs: be, become, grow, look, feel, taste, etc.4. SV IO DO structure. For Example:(1) He asked me a question.S V IO DO(2) Danny wrote me a letter.S V IO DO(3) Billy brought Sam a kite.S V IO DO√ In SV IO DO structures, the verbs are transitive and are followed by two objectives – pronouns or nouns as Indirect Objective, and nouns as Direct Objectives.

5. Read to get detailed information about Paragraph 5.Q1. What shows the revival of Tangshan?Q2. How can Tangshan revive itself and get up on its feet again?Q3. In times of disasters, how can we go through it?T: In times of disasters, we should unify, show the wisdom and stay positive.Step 4 Activity 4 Highlighting the theme and reflecting1. Make a summary of the text.2. Further understand the titleQ: After our learning, why do you think the earth didn’t sleep on that night?T: An earthquake happened. The people in the earthquake suffered a lot, and the people outside Tangshan were concerned about the people there a lot.3. Reflect through discussion on what can be learnt after reading.T: Disasters are powerful. Unpreparedness can be deadly. Life is weak, but if people work together to help each other, disasters can be defeated.There is no love from disaster, but we have love in the human heart.Step 5 Assignment How does the writer convey that the earthquake was deadly, and that people were helpless during the earthquake? Try to find some attractive and impressive expressions and note them down.

【教材分析】本節(jié)課是高中英語第一冊(cè)的最后一個(gè)單元的閱讀和思考部分,文章難度明顯增加,體現(xiàn)在以下幾個(gè)方面:文章題材是說明文,比較難理解;話題生疏,涉及到歷史等知識(shí);生詞量增大,而且在語境中理解詞匯的要求提高。面對(duì)這些,教師的難度和高度也要有所提升,通過探討說明順序,了解背景知識(shí)等幫助他們找到說明文閱讀的方法?!窘虒W(xué)目標(biāo)與核心素養(yǎng)】1. 文化意識(shí)目標(biāo)新課程中指出,文化意識(shí)是對(duì)中外文化的理解和對(duì)優(yōu)秀文化的認(rèn)同。文化意識(shí)的的培養(yǎng)有助于學(xué)生增加國(guó)家認(rèn)同和家國(guó)情懷,成為有文明素養(yǎng)和社會(huì)責(zé)任感的人。我們這個(gè)單元很好體現(xiàn)了這一點(diǎn),通過了解漢字書寫的體系和發(fā)展,學(xué)生可以有一種文化自豪感,同時(shí)也能夠幫助學(xué)生深入挖掘這篇文章,從而想到更多和中國(guó)文化相關(guān)的方面。2. 學(xué)習(xí)能力目標(biāo)

Step 2 New WordsUse ppt to show some words from the passage.Tell the students to remember the meanings.Step3 Skimming and Thinking1. Skim the text and decide which order Han Jing follows to talk about her first day. Time order or place order?Time order2. What is Han Jing worried about before she goes to senior high school?She is worried about whether she will make new friends and if no one talks to her, what she should do.Step 4 Fast Reading1. Match the main ideas with each paragraphParagraph 1:The worries about the new school day Paragraph 2Han Jing’s first maths classParagraph 3Han Jing’s first chemistry classParagraph 4Han Jing’s feelings about her first senior school dayStep 5 Careful Reading1. Fill in the chart with the words and phrases about Han Jing’s day. Answers: Senior high school, a little nervous; Her first maths class, classmates and teachers, friendly and helpful; Chemistry lab; new; great; annoying guy; Confident; a lot to explore2. Read the text again and discuss the questions.1) Why did Han Jing feel anxious before school?Because she was a new senior high student and she was not outgoing. What was more, she was worried about whether she can make friends.2) How was her first maths class?It was difficult but the teacher was kind and friendly. 3) What happened in the chemistry class? What would you do if this happened to you? A guy next to Han Jing tried to talk with her and she couldn’t concentrate on the experiment.

教學(xué)目標(biāo)知識(shí)目標(biāo):讓學(xué)生更好理解如何恰當(dāng)?shù)貙懸粋€(gè)人的信息介紹,并能讓學(xué)生熟練地使用一些寫作技能。能力目標(biāo):培養(yǎng)學(xué)生的寫作能力和團(tuán)隊(duì)協(xié)作能力。情感目標(biāo):提升學(xué)生對(duì)寫作的興趣。教學(xué)重難點(diǎn) 教學(xué)重點(diǎn):如何能讓學(xué)生更好地理解個(gè)人信息介紹。教學(xué)難點(diǎn):如何能讓學(xué)生通過適當(dāng)?shù)厥褂靡恍懽骷寄軄韺懸黄^好的個(gè)人信息介紹。教學(xué)準(zhǔn)備 多媒體、黑板、粉筆一、Pre-class1. Greetings2. Leading-inAsk students how to write a profile. What kinds of aspects should be included? The teacher asks students to discuss the topic with each other and put forward to much more ideas about the answer.二、While-class1. The teacher lets students to read the student profiles on Page 8 silently and then asks students to discuss the questions below.1. What is Ann like? How do you know?2. What are Thando’s hobbies?3. Where does Thando come from?4. What is Thando’s dream?5. What does “You will never see me without a book or a pen” mean?

1. Ss look at the picture and scan the passage to understand the main idea while teacher is giving the following questions to inspire Ss to think.*Where are those people?*What are they doing?*Why are they so excited?2. Ss complete the passage with the appropriate -ing form. Then discuss and check the answers with class.Answers: boring, interesting, taking, exciting, amazing3. The teacher raises questions for the students to discuss and encourages them to express their opinions.*Do you like La Tomatina? Why or why not?4. Each group representative reports the discussion result, the teacher gives feedback and the evaluation.Step 6 PracticeActivity 41. Ss complete the Ex 2 in Using structures.2. Check the answers after finishing the exercises.①The dragon boat races are the most exciting part of the Dragon Boat Festival.② The children were excited to go Easter egg hunting.③What an amazing performance! This is the best music festival I have ever been to.④We were amazed by her funny-looking hat.⑤His inspiring speech at the conference won the admiration/ favour of the audience.⑥This is a challenging game to test your memory and observation capabilities. 3. T asks Ss to finish Ex 3 and 4 in Using structures by themselves, then check the answers with class.Step 6 Homework1. Understand and master the functions and usage of the -ing form;2. Finish the other exercises in Using structures.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握動(dòng)詞-ing形式作定語和表語的功能和意義;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否在理解文段內(nèi)容的基礎(chǔ)上,根據(jù)上下文語境和表達(dá)邏輯,能正確運(yùn)用動(dòng)詞-ing形式描述節(jié)日慶典。3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否歸納和積累用于表達(dá)情緒的相關(guān)詞匯。

*wide range of origins(= a great number of different origins, many kinds of origins)*It featured a parade and a great feast with music, dancing, and sports. (=A parade and a great feast with music, dancing, and sports were included as important parts of the Egyptian harvest festival.)*.. some traditions may fade away and others may be established.(= Some traditions may disappear gradually, while other new traditions may come into being.)Step 6 Practice(1) Listen and follow the tape.The teacher may remind the students to pay attention to the meaning and usage of the black words in the context, so as to prepare for the completion of the blanks in activity 5 and vocabulary exercises in the exercise book.(2) Students complete the text of activity 5 by themselves.The teacher needs to remind the students to fill in the blanks with the correct form of the vocabulary they have learned in the text.Students exchange their answers with their partners, and then teachers and students check their answers.(3)Finish the Ex in Activity 5 of students’ book.Step 7 Homework1. Read the text again, in-depth understanding of the text;2. Discuss the origin of festivals, the historical changes of related customs, the influence of commercial society on festivals and the connotation and essential meaning of festivals.3. Complete relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否結(jié)合文本特點(diǎn)快速而準(zhǔn)確地找到主題句;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否理清論說文的語篇結(jié)構(gòu)和文本邏輯,了解節(jié)日風(fēng)俗發(fā)展與變遷,感悟節(jié)日的內(nèi)涵與意義。

The price is the same as(the price was)before the war.價(jià)格與戰(zhàn)前相同。(4)定語從句中的“關(guān)系代詞+助動(dòng)詞be”可以省略。The ticket(that/which was)booked by his sister has been sent to him.他妹妹訂的那張票已送到了他那里。Step 5 PracticeActivity 3(1) Guide students to complete the four activities in the Using Structures part of exercise book, in which activities 1 and 2 focus on ellipsis in dialogue answers, activity 3 focus on signs and headlines, two typical situations where ellipsis is used, and activity 4 focus on ellipsis in diary, an informal style.(2) Combine the examples in the above activities, ask students to summarize the omitted situations in groups, and make their own summary into a poster, and post it on the class wall after class to share with the class.(This step should give full play to the subjectivity of students, and teachers should encourage students to conclude different ellipsis phenomena according to their own understanding, they can conclude according to the different parts omitted in the sentence.)Step 6 Homework1. Understand and master the usages of ellipsis;2. Finish the other exercises in Using structures of Workbook.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握省略的用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否根據(jù)上下文語境或情景恢復(fù)句子中省略的成分,體會(huì)使用省略的效果;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否獨(dú)立完成練習(xí)冊(cè)和導(dǎo)學(xué)案中的相關(guān)練習(xí)。

該板塊的活動(dòng)主題是“介紹一個(gè)有顯著文化特征的地方”( Describe a place with distinctive cultural identity)。該板塊通過介紹中國(guó)城繼續(xù)聚焦中國(guó)文化。本單元主題圖呈現(xiàn)的是舊金山中國(guó)城的典型景象, Reading and Thinking部分也提到中國(guó)城,為該板塊作鋪墊。介紹中國(guó)城的目的主要是體現(xiàn)中國(guó)文化與美國(guó)多元文化的關(guān)系,它是美國(guó)多元文化的重要組成部分。中國(guó)城也是海外華人的精神家園和傳播中國(guó)文化的重要窗口,外國(guó)人在中國(guó)城能近距離體驗(yàn)中國(guó)文化。1. Read the text to understand the cultural characteristics of Chinatown in San Francisco and the relationship between Chinese culture and American multiculturalism;2. Through reading, learn to comb the main information of the article, understand the author's writing purpose and writing characteristics;3. Learn to give a comprehensive, accurate, and organized description of the city or town you live in;Learn to revise and evaluate your writing.Importance:1. Guide the students to read the introduction of Chinatown in San Francisco and grasp its writing characteristics;2. Guide students to introduce their city or town in a comprehensive, accurate and organized way;3. Learn to comb the main information of the article, understand the author's writing purpose, and master the core vocabulary.

1.歸納珠江三角洲發(fā)展基塘生產(chǎn)有利的地理?xiàng)l件。珠江三角洲地勢(shì)低平,河網(wǎng)密布,降水充沛。北回歸線從珠江三角洲的北部穿過。珠江三角洲地區(qū)發(fā)展基塘農(nóng)業(yè)生產(chǎn)有利條件可以結(jié)合材料,歸納為三個(gè)方面:地形、氣候、市場(chǎng)(當(dāng)?shù)睾秃M猓?.基塘生產(chǎn)將哪些產(chǎn)業(yè)聯(lián)系起來?哪些副產(chǎn)品(或廢棄物)被充分利用起來?這種聯(lián)系對(duì)農(nóng)村經(jīng)濟(jì)發(fā)展有什么作用?基塘生產(chǎn)環(huán)節(jié)將種植業(yè)(桑、蔗等)、養(yǎng)殖業(yè)(養(yǎng)蠶、養(yǎng)魚)、工業(yè)(絲廠、糖廠)等幾種產(chǎn)業(yè)緊密的聯(lián)系在一起。在此環(huán)節(jié)中,塘泥、蠶沙(蠶屎)、蠶蛹、繅絲、濾泥、蔗葉等副產(chǎn)品被充分的回收利用。養(yǎng)蠶業(yè)、蔗糖加工業(yè)同塘魚養(yǎng)殖業(yè)緊密結(jié)合,作為一種綜合的經(jīng)營(yíng),幾者之間相互依存、相互促進(jìn)、揚(yáng)長(zhǎng)補(bǔ)短,有機(jī)地循環(huán)聯(lián)系起來?;旧辖鉀Q了桑、蔗的肥料和蠶、魚的飼料問題。不僅養(yǎng)蠶、蔗糖加工和養(yǎng)魚生產(chǎn)穩(wěn)定,而且成本也大大降低。

【點(diǎn)津】 1.不定式的復(fù)合結(jié)構(gòu)作目的狀語 ,當(dāng)不定式或不定式短語有自己的執(zhí)行者時(shí),要用不定式的復(fù)合結(jié)構(gòu)?即在不定式或不定式短語之前加 for +名詞或賓格代詞?作狀語。He opened the door for the children to come in. 他開門讓孩子們進(jìn)來。目的狀語從句與不定式的轉(zhuǎn)換 英語中的目的狀語從句,還可以變?yōu)椴欢ㄊ交虿欢ㄊ蕉陶Z作狀語,從而使句子在結(jié)構(gòu)上得以簡(jiǎn)化??煞譃閮煞N情況: 1?當(dāng)目的狀語從句中的主語與主句中的主語相同時(shí),可以直接簡(jiǎn)化為不定式或不定式短語作狀語。We'll start early in order that/so that we may arrive in time. →We'll start early in order to/so as to arrive in time. 2?當(dāng)目的狀語從句中的主語與主句中的主語不相同時(shí),要用動(dòng)詞不定式的復(fù)合結(jié)構(gòu)作狀語。I came early in order that you might read my report before the meeting. →I came early in order for you to read my report before the meeting.

本章通過學(xué)習(xí)用二分法求方程近似解的的方法,使學(xué)生體會(huì)函數(shù)與方程之間的關(guān)系,通過一些函數(shù)模型的實(shí)例,讓學(xué)生感受建立函數(shù)模型的過程和方法,體會(huì)函數(shù)在數(shù)學(xué)和其他學(xué)科中的廣泛應(yīng)用,進(jìn)一步認(rèn)識(shí)到函數(shù)是描述客觀世界變化規(guī)律的基本數(shù)學(xué)模型,能初步運(yùn)用函數(shù)思想解決一些生活中的簡(jiǎn)單問題。1.了解函數(shù)的零點(diǎn)、方程的根與圖象交點(diǎn)三者之間的聯(lián)系.2.會(huì)借助零點(diǎn)存在性定理判斷函數(shù)的零點(diǎn)所在的大致區(qū)間.3.能借助函數(shù)單調(diào)性及圖象判斷零點(diǎn)個(gè)數(shù).?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:函數(shù)零點(diǎn)的概念;2.邏輯推理:借助圖像判斷零點(diǎn)個(gè)數(shù);3.數(shù)學(xué)運(yùn)算:求函數(shù)零點(diǎn)或零點(diǎn)所在區(qū)間;4.數(shù)學(xué)建模:通過由抽象到具體,由具體到一般的思想總結(jié)函數(shù)零點(diǎn)概念.重點(diǎn):零點(diǎn)的概念,及零點(diǎn)與方程根的聯(lián)系;難點(diǎn):零點(diǎn)的概念的形成.

(1)幾何法它是利用圖形的幾何性質(zhì),如圓的性質(zhì)等,直接求出圓的圓心和半徑,代入圓的標(biāo)準(zhǔn)方程,從而得到圓的標(biāo)準(zhǔn)方程.(2)待定系數(shù)法由三個(gè)獨(dú)立條件得到三個(gè)方程,解方程組以得到圓的標(biāo)準(zhǔn)方程中三個(gè)參數(shù),從而確定圓的標(biāo)準(zhǔn)方程.它是求圓的方程最常用的方法,一般步驟是:①設(shè)——設(shè)所求圓的方程為(x-a)2+(y-b)2=r2;②列——由已知條件,建立關(guān)于a,b,r的方程組;③解——解方程組,求出a,b,r;④代——將a,b,r代入所設(shè)方程,得所求圓的方程.跟蹤訓(xùn)練1.已知△ABC的三個(gè)頂點(diǎn)坐標(biāo)分別為A(0,5),B(1,-2),C(-3,-4),求該三角形的外接圓的方程.[解] 法一:設(shè)所求圓的標(biāo)準(zhǔn)方程為(x-a)2+(y-b)2=r2.因?yàn)锳(0,5),B(1,-2),C(-3,-4)都在圓上,所以它們的坐標(biāo)都滿足圓的標(biāo)準(zhǔn)方程,于是有?0-a?2+?5-b?2=r2,?1-a?2+?-2-b?2=r2,?-3-a?2+?-4-b?2=r2.解得a=-3,b=1,r=5.故所求圓的標(biāo)準(zhǔn)方程是(x+3)2+(y-1)2=25.
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