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新人教版高中英語(yǔ)必修3Unit 2 Morals and virtues教學(xué)設(shè)計(jì)一

  • 新人教版高中英語(yǔ)必修1Unit 5 Languages Around the World-Reading for Writing教案

    新人教版高中英語(yǔ)必修1Unit 5 Languages Around the World-Reading for Writing教案

    Step 3: Read to sum upRead it again and sum up the problems of the three students, and then write down the advice that was given from others.Step 4: Work in pairs. List your learning problems in English and brainstorm some useful advice.Useful expressions ? I don't know how to…... Is a big difficulty for me. I cannot ...? You might try …. It's very important to…? I have no idea how/what .My biggest problem is .... ? I (also) have trouble with. My advice is …. This worked for me.? l cannot understand the teachers’ English in class.Step 5 Homework:為提高我校學(xué)生的英語(yǔ)口語(yǔ)水平,我們將舉辦英語(yǔ)演講比賽(English- speaking contest),請(qǐng)你根據(jù)下面的信息,以學(xué)生會(huì)(the Students‘ Union)的名義寫(xiě)一份海報(bào),歡迎全校同學(xué)參加,屆時(shí)特邀本校美籍教師史密斯先生頒獎(jiǎng)。? 報(bào)名時(shí)間 9月30日以前(報(bào)名:signup)? 報(bào)名地點(diǎn) 學(xué)生會(huì)辦公室? 比賽時(shí)間 10月9日晚7:00~9:00? 比賽地點(diǎn) 學(xué)校大會(huì)議室? 獎(jiǎng)勵(lì) 前8名

  • 新人教版高中英語(yǔ)必修1Welcome Unit-Reading for Writing教案

    新人教版高中英語(yǔ)必修1Welcome Unit-Reading for Writing教案

    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?xiě)一個(gè)人的信息介紹,并能讓學(xué)生熟練地使用一些寫(xiě)作技能。能力目標(biāo):培養(yǎng)學(xué)生的寫(xiě)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(xiě)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(guò)適當(dāng)?shù)厥褂靡恍?xiě)作技能來(lái)寫(xiě)一篇較好的個(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?

  • 新人教版高中英語(yǔ)必修1Unit 4 Natural Disasters- Reading for writing教案

    新人教版高中英語(yǔ)必修1Unit 4 Natural Disasters- Reading for writing教案

    ①標(biāo)題——標(biāo)題應(yīng)當(dāng)簡(jiǎn)潔明了。②導(dǎo)語(yǔ)——導(dǎo)語(yǔ)是消息開(kāi)頭的第一段或第一句話(huà),簡(jiǎn)明扼要地揭示出消息的核心內(nèi)容。③主體——主體是消息的主要部分,要用充足的事實(shí)表現(xiàn)主題,對(duì)導(dǎo)語(yǔ)的內(nèi)容作進(jìn)一步的展開(kāi)和闡述。④結(jié)束語(yǔ)——通常是對(duì)全文內(nèi)容進(jìn)行概括性的總結(jié)。3. 新聞報(bào)道增分句子(1)陳述事實(shí)常用的句型:①A terrible storm hit/struck ... , killing ..②It was a cool autumn night when the earthquake happened. A large number of buildings fell down and roads were destroyed, leaving a great many people homeless.地震發(fā)生在一個(gè)涼爽的秋夜。大量的建筑物倒塌,道路被毀,許多人無(wú)家可歸。③With the help of the rescue team, people who were the trapped in the flood were saved.在救援隊(duì)的幫助下,困在洪水中的人們得救了。(2)陳述觀點(diǎn)常用的句型:①Clearly/Obviously/In my opinion/It seemed that people were shocked.顯然/在我看來(lái)/似乎人們震驚了。②The whole city was in ruins after the earthquake.地震后整個(gè)城市成了一片廢墟。(3)揭示原因常用的句型:Because of/As a result of/Thanks to the help of the army, people who got injured were sent to the hospital immediately.

  • 新人教版高中英語(yǔ)必修1Welcome Unit-Discovering Useful Structures教案

    新人教版高中英語(yǔ)必修1Welcome Unit-Discovering Useful Structures教案

    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.

  • 新人教版高中英語(yǔ)必修1Unit 5 Languages Around the World-Reading and Thinking教案

    新人教版高中英語(yǔ)必修1Unit 5 Languages Around the World-Reading and Thinking教案

    【教材分析】本節(jié)課是高中英語(yǔ)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(shuō)明文,比較難理解;話(huà)題生疏,涉及到歷史等知識(shí);生詞量增大,而且在語(yǔ)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(guò)探討說(shuō)明順序,了解背景知識(shí)等幫助他們找到說(shuō)明文閱讀的方法。【教學(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(guò)了解漢字書(shū)寫(xiě)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)

  • 新人教版高中英語(yǔ)必修1Welcome Unit-Reading and Thinking教案

    新人教版高中英語(yǔ)必修1Welcome Unit-Reading and Thinking教案

    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.

  • 新人教版高中英語(yǔ)必修1Unit 1 Teenage Life-Discovering Useful Structure教案

    新人教版高中英語(yǔ)必修1Unit 1 Teenage Life-Discovering Useful Structure教案

    (形容詞短語(yǔ)most beautiful的構(gòu)成形式為:副詞+形容詞,該短語(yǔ)在句中作定語(yǔ)修飾名詞bird)④A good friend is someone who makes you really happy.好朋友就是能讓你真正高興的人。(形容詞短語(yǔ)really happy的構(gòu)成形式為:副詞+形容詞,該短語(yǔ)在句中作賓語(yǔ)補(bǔ)足語(yǔ))[即學(xué)即練]畫(huà)出下例句中的形容詞短語(yǔ)并指明構(gòu)成形式如:It is less cold today than it was yesterday.構(gòu)成形式: 副詞+形容詞(1)Our country is becoming more and more beautiful.(2)The road is long enough.(3)The medicine is good for stomach.三、副詞短語(yǔ)(Adverb Phrases)副詞短語(yǔ):指以一個(gè)副詞為中心構(gòu)成的短語(yǔ),在句中的功能相當(dāng)于副詞,可以修飾動(dòng)詞、形容詞或副詞。常見(jiàn)副詞短語(yǔ)的構(gòu)成形式有:(副詞)+副詞如: much more beautifully①He did his work here yesterday.他昨天在這里工作。(副詞短語(yǔ)here yesterday修飾動(dòng)詞did)②Bill did the work very well.比爾做的這份工作很好。副詞短語(yǔ)very well修飾動(dòng)詞did③We are all entirely responsible for our action(副詞短語(yǔ)all entirely, 修飾形容詞短語(yǔ)responsible for)

  • 新人教版高中英語(yǔ)必修1Unit 1 Teenage Life-Reading for Writing教案

    新人教版高中英語(yǔ)必修1Unit 1 Teenage Life-Reading for Writing教案

    【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(guò)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.

  • 新人教版高中英語(yǔ)必修1Welcome Unit-Discovering Useful Structures & Listening and Talking教案

    新人教版高中英語(yǔ)必修1Welcome Unit-Discovering Useful Structures & Listening and Talking教案

    常跟雙賓語(yǔ)的動(dòng)詞有:(需借助to的)bring, ask, hand, offer, give, lend, send, show, teach, tell, write, pass, pay, promise, return等;基本句型 五S +V + O + OC(主+謂+賓+賓補(bǔ))特點(diǎn):動(dòng)詞雖然是及物動(dòng)詞,但是只跟一個(gè)賓語(yǔ)還不能表達(dá)完整的意思,必須加上一個(gè)補(bǔ)充成分來(lái)補(bǔ)足賓語(yǔ),才能使意思完整。 判斷原則:能表達(dá)成—賓語(yǔ) 是…/做…注:此結(jié)構(gòu)由“主語(yǔ)+及物的謂語(yǔ)動(dòng)詞+賓語(yǔ)+賓語(yǔ)補(bǔ)足語(yǔ)”構(gòu)成。賓語(yǔ)與賓語(yǔ)補(bǔ)足語(yǔ)之間有邏輯上的主謂關(guān)系或主表關(guān)系,若無(wú)賓語(yǔ)補(bǔ)足語(yǔ),則句意不夠完整??梢杂米鲑e補(bǔ)的有:名詞,形容詞,副詞,介詞短語(yǔ),動(dòng)詞不定式,分詞等。如:He considers himself an expert on the subject.他認(rèn)為自己是這門(mén)學(xué)科的專(zhuān)家。We must keep our classroom clean.我們必須保持教室清潔。I had my bike stolen.我的自行車(chē)被偷了。We invited him to come to our school.我們邀請(qǐng)他來(lái)我們學(xué)校。I beg you to keep secret what we talked here.我求你對(duì)這里所談的話(huà)保密。用it做形式賓語(yǔ),而將真正的賓語(yǔ)放到賓語(yǔ)補(bǔ)足語(yǔ)的后面,以使句子結(jié)構(gòu)平衡,是英語(yǔ)常用的句型結(jié)構(gòu)方式。即:主語(yǔ)+謂語(yǔ)+it+賓補(bǔ)+真正賓語(yǔ)。如:We think it a good idea to go climb the mountain this Sunday.

  • 新人教版高中英語(yǔ)必修1Unit 1 Teenage Life-Reading and Thinking教案

    新人教版高中英語(yǔ)必修1Unit 1 Teenage Life-Reading and Thinking教案

    【教材分析】The topic of this unit is about teenage life, which belongs to the theme context of “humans and oneself”.As teenagers who shoulder the responsibility of “Chinese great dream”, they must fully know themselves, including their strengths, weaknesses and challenges etc. They are supposed to improve themselves continuously and readily study their subjects, and thus foster their strategies and confidence in lifelong studies.This period is entitled the freshmen challenges, which mainly concerns some big challenges for new students in Senior high school. In this period, a teacher should lead students to find out what their challenges are and guide them to figure out how to crack the challenges and better themselves. More importantly, a teacher should instruct students to absorb new language points and appreciate the language. Besides, a teacher must instruct students to acquire some skills concerning reading efficiently and inspire them to talk more about their new school life, especially their new problems and solutions both at school and in life.【教學(xué)目標(biāo)與核心素養(yǎng)】1. Enable students to acquire the basic usage of the new words and expressions concerning the freshmen challenges and learn to use them flexibly.2. Enable students to have a good understanding of the freshmen challenges in the new senior high school which is quite different from junior middle school.3. Develop students’ sense of cooperative learning and individual thinking capability. 4. Develop students’ different learning skills to solve different reading comprehensive problems.

  • 小學(xué)美術(shù)人教版一年級(jí)下冊(cè)《第3課花地毯》教學(xué)設(shè)計(jì)

    小學(xué)美術(shù)人教版一年級(jí)下冊(cè)《第3課花地毯》教學(xué)設(shè)計(jì)

    2學(xué)情分析一年級(jí)的學(xué)生,雖然經(jīng)過(guò)了一學(xué)期學(xué)習(xí)但好習(xí)慣還沒(méi)養(yǎng)成,課上易失去注意力等。因此我在教學(xué)中要關(guān)注學(xué)生的注意力,抓住學(xué)生的興趣點(diǎn)加以引導(dǎo)、啟發(fā),說(shuō)易懂的語(yǔ)言,練學(xué)生易學(xué)的方法,讓學(xué)生在寬松融洽的氣氛快樂(lè)的學(xué)習(xí)。a教學(xué)重點(diǎn)教學(xué)重點(diǎn):以最簡(jiǎn)單的方式讓學(xué)生了解圖案的基本構(gòu)成特點(diǎn)。學(xué)時(shí)難點(diǎn)把握個(gè)人創(chuàng)作與集體合作的關(guān)系。

  • 統(tǒng)編版三年級(jí)語(yǔ)文上第27課一個(gè)粗瓷大碗教學(xué)設(shè)計(jì)教案

    統(tǒng)編版三年級(jí)語(yǔ)文上第27課一個(gè)粗瓷大碗教學(xué)設(shè)計(jì)教案

    《一個(gè)粗瓷大碗》是統(tǒng)編版教材三年級(jí)語(yǔ)文上冊(cè)第八單元的一篇略讀課文,本文圍繞“粗瓷大碗”講述了趙一曼把小通訊員盛給她的高粱米飯倒進(jìn)病號(hào)灶的鍋里,和戰(zhàn)士們一起喝野菜粥;把小通訊員給她找的用來(lái)吃飯的碗又一次丟掉了的故事,表現(xiàn)了她在艱苦的環(huán)境中關(guān)愛(ài)戰(zhàn)士勝過(guò)關(guān)心自己,與戰(zhàn)士同甘共苦、堅(jiān)持革命的高貴品質(zhì)。課文是一篇略讀課文,學(xué)習(xí)時(shí)可帶著問(wèn)題默讀,邊讀邊思考,這樣可以更好地理解課文的內(nèi)容。教學(xué)本文時(shí),要由淺入深地設(shè)置問(wèn)題,讓學(xué)生帶著問(wèn)題默讀課文;還要提示學(xué)生,默讀時(shí),沒(méi)讀懂的地方標(biāo)記下來(lái),可以聯(lián)系上下文進(jìn)一步思考,也可以讀完之后和同學(xué)一起探討。 1.認(rèn)識(shí)“陳、曼”等7個(gè)生字,讀準(zhǔn)多音字“還”。2.能帶著問(wèn)題默讀課文,了解圍繞“粗瓷大碗”發(fā)生的故事。3.能從人物的語(yǔ)言、動(dòng)作等描寫(xiě)中感受到人物的心情、品質(zhì)。 1.教學(xué)重點(diǎn):能帶著問(wèn)題默讀課文,了解圍繞“粗瓷大碗”發(fā)生的故事。2.教學(xué)難點(diǎn):深入理解文章內(nèi)容,感受趙一曼的高貴品質(zhì)。 1課時(shí)

  • 雙曲線(xiàn)的簡(jiǎn)單幾何性質(zhì)(2)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    雙曲線(xiàn)的簡(jiǎn)單幾何性質(zhì)(2)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    二、典例解析例4.如圖,雙曲線(xiàn)型冷卻塔的外形,是雙曲線(xiàn)的一部分,已知塔的總高度為137.5m,塔頂直徑為90m,塔的最小直徑(喉部直徑)為60m,喉部標(biāo)高112.5m,試建立適當(dāng)?shù)淖鴺?biāo)系,求出此雙曲線(xiàn)的標(biāo)準(zhǔn)方程(精確到1m)解:設(shè)雙曲線(xiàn)的標(biāo)準(zhǔn)方程為 ,如圖所示:為喉部直徑,故 ,故雙曲線(xiàn)方程為 .而 的橫坐標(biāo)為塔頂直徑的一半即 ,其縱坐標(biāo)為塔的總高度與喉部標(biāo)高的差即 ,故 ,故 ,所以 ,故雙曲線(xiàn)方程為 .例5.已知點(diǎn) 到定點(diǎn) 的距離和它到定直線(xiàn)l: 的距離的比是 ,則點(diǎn) 的軌跡方程為?解:設(shè)點(diǎn) ,由題知, ,即 .整理得: .請(qǐng)你將例5與橢圓一節(jié)中的例6比較,你有什么發(fā)現(xiàn)?例6、 過(guò)雙曲線(xiàn) 的右焦點(diǎn)F2,傾斜角為30度的直線(xiàn)交雙曲線(xiàn)于A,B兩點(diǎn),求|AB|.分析:求弦長(zhǎng)問(wèn)題有兩種方法:法一:如果交點(diǎn)坐標(biāo)易求,可直接用兩點(diǎn)間距離公式代入求弦長(zhǎng);法二:但有時(shí)為了簡(jiǎn)化計(jì)算,常設(shè)而不求,運(yùn)用韋達(dá)定理來(lái)處理.解:由雙曲線(xiàn)的方程得,兩焦點(diǎn)分別為F1(-3,0),F2(3,0).因?yàn)橹本€(xiàn)AB的傾斜角是30°,且直線(xiàn)經(jīng)過(guò)右焦點(diǎn)F2,所以,直線(xiàn)AB的方程為

  • 拋物線(xiàn)的簡(jiǎn)單幾何性質(zhì)(2)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    拋物線(xiàn)的簡(jiǎn)單幾何性質(zhì)(2)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    二、直線(xiàn)與拋物線(xiàn)的位置關(guān)系設(shè)直線(xiàn)l:y=kx+m,拋物線(xiàn):y2=2px(p>0),將直線(xiàn)方程與拋物線(xiàn)方程聯(lián)立整理成關(guān)于x的方程k2x2+2(km-p)x+m2=0.(1)若k≠0,當(dāng)Δ>0時(shí),直線(xiàn)與拋物線(xiàn)相交,有兩個(gè)交點(diǎn);當(dāng)Δ=0時(shí),直線(xiàn)與拋物線(xiàn)相切,有一個(gè)切點(diǎn);當(dāng)Δ<0時(shí),直線(xiàn)與拋物線(xiàn)相離,沒(méi)有公共點(diǎn).(2)若k=0,直線(xiàn)與拋物線(xiàn)有一個(gè)交點(diǎn),此時(shí)直線(xiàn)平行于拋物線(xiàn)的對(duì)稱(chēng)軸或與對(duì)稱(chēng)軸重合.因此直線(xiàn)與拋物線(xiàn)有一個(gè)公共點(diǎn)是直線(xiàn)與拋物線(xiàn)相切的必要不充分條件.二、典例解析例5.過(guò)拋物線(xiàn)焦點(diǎn)F的直線(xiàn)交拋物線(xiàn)于A、B兩點(diǎn),通過(guò)點(diǎn)A和拋物線(xiàn)頂點(diǎn)的直線(xiàn)交拋物線(xiàn)的準(zhǔn)線(xiàn)于點(diǎn)D,求證:直線(xiàn)DB平行于拋物線(xiàn)的對(duì)稱(chēng)軸.【分析】設(shè)拋物線(xiàn)的標(biāo)準(zhǔn)方程為:y2=2px(p>0).設(shè)A(x1,y1),B(x2,y2).直線(xiàn)OA的方程為: = = ,可得yD= .設(shè)直線(xiàn)AB的方程為:my=x﹣ ,與拋物線(xiàn)的方程聯(lián)立化為y2﹣2pm﹣p2=0,

  • 橢圓的簡(jiǎn)單幾何性質(zhì)(2)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    橢圓的簡(jiǎn)單幾何性質(zhì)(2)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    二、典例解析例5. 如圖,一種電影放映燈的反射鏡面是旋轉(zhuǎn)橢圓面(橢圓繞其對(duì)稱(chēng)軸旋轉(zhuǎn)一周形成的曲面)的一部分。過(guò)對(duì)稱(chēng)軸的截口 ABC是橢圓的一部分,燈絲位于橢圓的一個(gè)焦點(diǎn)F_1上,片門(mén)位另一個(gè)焦點(diǎn)F_2上,由橢圓一個(gè)焦點(diǎn)F_1 發(fā)出的光線(xiàn),經(jīng)過(guò)旋轉(zhuǎn)橢圓面反射后集中到另一個(gè)橢圓焦點(diǎn)F_2,已知 〖BC⊥F_1 F〗_2,|F_1 B|=2.8cm, |F_1 F_2 |=4.5cm,試建立適當(dāng)?shù)钠矫嬷苯亲鴺?biāo)系,求截口ABC所在的橢圓方程(精確到0.1cm)典例解析解:建立如圖所示的平面直角坐標(biāo)系,設(shè)所求橢圓方程為x^2/a^2 +y^2/b^2 =1 (a>b>0) 在Rt ΔBF_1 F_2中,|F_2 B|= √(|F_1 B|^2+|F_1 F_2 |^2 )=√(〖2.8〗^2 〖+4.5〗^2 ) 有橢圓的性質(zhì) , |F_1 B|+|F_2 B|=2 a, 所以a=1/2(|F_1 B|+|F_2 B|)=1/2(2.8+√(〖2.8〗^2 〖+4.5〗^2 )) ≈4.1b= √(a^2 〖-c〗^2 ) ≈3.4所以所求橢圓方程為x^2/〖4.1〗^2 +y^2/〖3.4〗^2 =1 利用橢圓的幾何性質(zhì)求標(biāo)準(zhǔn)方程的思路1.利用橢圓的幾何性質(zhì)求橢圓的標(biāo)準(zhǔn)方程時(shí),通常采用待定系數(shù)法,其步驟是:(1)確定焦點(diǎn)位置;(2)設(shè)出相應(yīng)橢圓的標(biāo)準(zhǔn)方程(對(duì)于焦點(diǎn)位置不確定的橢圓可能有兩種標(biāo)準(zhǔn)方程);(3)根據(jù)已知條件構(gòu)造關(guān)于參數(shù)的關(guān)系式,利用方程(組)求參數(shù),列方程(組)時(shí)常用的關(guān)系式有b2=a2-c2等.

  • 用空間向量研究直線(xiàn)、平面的位置關(guān)系(2)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    用空間向量研究直線(xiàn)、平面的位置關(guān)系(2)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    跟蹤訓(xùn)練1在正方體ABCD-A1B1C1D1中,E為AC的中點(diǎn).求證:(1)BD1⊥AC;(2)BD1⊥EB1.(2)∵(BD_1 ) ?=(-1,-1,1),(EB_1 ) ?=(1/2 "," 1/2 "," 1),∴(BD_1 ) ?·(EB_1 ) ?=(-1)×1/2+(-1)×1/2+1×1=0,∴(BD_1 ) ?⊥(EB_1 ) ?,∴BD1⊥EB1.證明:以D為原點(diǎn),DA,DC,DD1所在直線(xiàn)分別為x軸、y軸、z軸,建立如圖所示的空間直角坐標(biāo)系.設(shè)正方體的棱長(zhǎng)為1,則B(1,1,0),D1(0,0,1),A(1,0,0),C(0,1,0),E(1/2 "," 1/2 "," 0),B1(1,1,1).(1)∵(BD_1 ) ?=(-1,-1,1),(AC) ?=(-1,1,0),∴(BD_1 ) ?·(AC) ?=(-1)×(-1)+(-1)×1+1×0=0.∴(BD_1 ) ?⊥(AC) ?,∴BD1⊥AC.例2在棱長(zhǎng)為1的正方體ABCD-A1B1C1D1中,E,F,M分別為棱AB,BC,B1B的中點(diǎn).求證:D1M⊥平面EFB1.思路分析一種思路是不建系,利用基向量法證明(D_1 M) ?與平面EFB1內(nèi)的兩個(gè)不共線(xiàn)向量都垂直,從而根據(jù)線(xiàn)面垂直的判定定理證得結(jié)論;另一種思路是建立空間直角坐標(biāo)系,通過(guò)坐標(biāo)運(yùn)算證明(D_1 M) ?與平面EFB1內(nèi)的兩個(gè)不共線(xiàn)向量都垂直;還可以在建系的前提下,求得平面EFB1的法向量,然后說(shuō)明(D_1 M) ?與法向量共線(xiàn),從而證得結(jié)論.證明:(方法1)因?yàn)镋,F,M分別為棱AB,BC,B1B的中點(diǎn),所以(D_1 M) ?=(D_1 B_1 ) ?+(B_1 M) ?=(DA) ?+(DC) ?+1/2 (B_1 B) ?,而(B_1 E) ?=(B_1 B) ?+(BE) ?=(B_1 B) ?-1/2 (DC) ?,于是(D_1 M) ?·(B_1 E) ?=((DA) ?+(DC) ?+1/2 (B_1 B) ?)·((B_1 B) ?-1/2 (DC) ?)=0-0+0-1/2+1/2-1/4×0=0,因此(D_1 M) ?⊥(B_1 E) ?.同理(D_1 M) ?⊥(B_1 F) ?,又因?yàn)?B_1 E) ?,(B_1 F) ?不共線(xiàn),因此D1M⊥平面EFB1.

  • 人教版高中數(shù)學(xué)選修3分類(lèi)加法計(jì)數(shù)原理與分步乘法計(jì)數(shù)原理(1)教學(xué)設(shè)計(jì)

    人教版高中數(shù)學(xué)選修3分類(lèi)加法計(jì)數(shù)原理與分步乘法計(jì)數(shù)原理(1)教學(xué)設(shè)計(jì)

    問(wèn)題1. 用一個(gè)大寫(xiě)的英文字母或一個(gè)阿拉伯?dāng)?shù)字給教室里的一個(gè)座位編號(hào),總共能編出多少種不同的號(hào)碼?因?yàn)橛⑽淖帜腹灿?6個(gè),阿拉伯?dāng)?shù)字共有10個(gè),所以總共可以編出26+10=36種不同的號(hào)碼.問(wèn)題2.你能說(shuō)說(shuō)這個(gè)問(wèn)題的特征嗎?上述計(jì)數(shù)過(guò)程的基本環(huán)節(jié)是:(1)確定分類(lèi)標(biāo)準(zhǔn),根據(jù)問(wèn)題條件分為字母號(hào)碼和數(shù)字號(hào)碼兩類(lèi);(2)分別計(jì)算各類(lèi)號(hào)碼的個(gè)數(shù);(3)各類(lèi)號(hào)碼的個(gè)數(shù)相加,得出所有號(hào)碼的個(gè)數(shù).你能舉出一些生活中類(lèi)似的例子嗎?一般地,有如下分類(lèi)加法計(jì)數(shù)原理:完成一件事,有兩類(lèi)辦法. 在第1類(lèi)辦法中有m種不同的方法,在第2類(lèi)方法中有n種不同的方法,則完成這件事共有:N= m+n種不同的方法.二、典例解析例1.在填寫(xiě)高考志愿時(shí),一名高中畢業(yè)生了解到,A,B兩所大學(xué)各有一些自己感興趣的強(qiáng)項(xiàng)專(zhuān)業(yè),如表,

  • 大班語(yǔ)言教案:《m, f》教學(xué)設(shè)計(jì)

    大班語(yǔ)言教案:《m, f》教學(xué)設(shè)計(jì)

    2.學(xué)會(huì)聲母“b”和單韻母“a”拼讀音節(jié)的方法?! ?.學(xué)會(huì)拼讀“b p m f”與“u、o”組成的音節(jié)。  教學(xué)難點(diǎn)  掌握拼讀聲母和韻母組成的音節(jié)。  教學(xué)過(guò)程  一、談話(huà)導(dǎo)入  我們已經(jīng)認(rèn)識(shí)了韻母家族的6個(gè)朋友(出示a o e i u ü)一起讀讀,你們讀得真準(zhǔn),能不能按字母順序擺一擺,再按順序讀一讀。你們記得真清楚。這節(jié)課我們一起到拼音王國(guó)里再認(rèn)識(shí)四個(gè)聲母家族的朋友,你們?cè)敢鈫??  二、學(xué)習(xí)“b p m f ”的音形 ?。ㄒ唬W(xué)習(xí)“b”的音形  1.出示“b”的圖  (1)引導(dǎo)學(xué)生提問(wèn):圖上的小朋友在干什么?  (2)問(wèn):這個(gè)字母念什么?學(xué)生試讀“b”?! 。?)講:聽(tīng)廣播的“播”讀得輕短些,發(fā)音時(shí),把兩片嘴閉合,把氣     憋住,然后突然放開(kāi),讓氣流沖出雙唇就是“b”的音。 ?。?)教師范讀。 ?。?)學(xué)生學(xué)讀,體會(huì)發(fā)音方法?! 。?)開(kāi)火車(chē)讀。   2.學(xué)習(xí)“b”的形 ?。?)引導(dǎo)學(xué)生提問(wèn):怎樣記住“b”的形?或“b”與圖中的哪一部分很像? ?。?)你們能編一個(gè)記憶“b”的小兒歌嗎?  拉開(kāi)天線(xiàn)聽(tīng)廣播“b b b”?! ∮蚁掳雸A“b b b”?! ?字“b”。……  3.指導(dǎo)書(shū)寫(xiě)b(1)講:我們先認(rèn)識(shí)一個(gè)字母基本筆畫(huà):“丨”上豎。 (2)請(qǐng)同學(xué)們觀察書(shū)中字母“b”先寫(xiě)哪筆,再寫(xiě)哪筆,幾筆寫(xiě)成?占什么格?同桌同學(xué)互相說(shuō)說(shuō)。(3)學(xué)生說(shuō)筆順、位置,教師范寫(xiě),強(qiáng)調(diào)“b”的第一筆在上格的三分之一處起筆到第三條線(xiàn)停筆。  ?。?)學(xué)生書(shū)空筆順。 ?。?)學(xué)生在拼音本上抄字頭。教師行間巡視,進(jìn)行個(gè)別輔導(dǎo)。糾正學(xué)生的寫(xiě)姿和執(zhí)筆方法。對(duì)姿勢(shì)正確的學(xué)生及時(shí)表?yè)P(yáng)鼓勵(lì)。

  • 大班語(yǔ)言教案:《i,u,ü》教學(xué)設(shè)計(jì)

    大班語(yǔ)言教案:《i,u,ü》教學(xué)設(shè)計(jì)

    2、學(xué)會(huì)正確認(rèn)讀i、u、ü的帶調(diào)韻母。知道ü上標(biāo)聲調(diào)時(shí),上面的小圓點(diǎn)不寫(xiě)。3、會(huì)在四線(xiàn)格里抄寫(xiě)i、u、ü三個(gè)單韻母。課時(shí)安排:2課時(shí)第一課時(shí)  教學(xué)目標(biāo):教學(xué)單韻母i、u并抄寫(xiě)?! 〗虒W(xué)過(guò)程:  一、 復(fù)習(xí)檢查。  1、猜謎語(yǔ)?! 。?)白鵝倒影是什么韻母? ?。?)圓臉小姑娘,小辮右邊扎。這是什么韻母? ?。?)像個(gè)圓圈是什么韻母?  2、抽讀字母卡片。  二、 教學(xué)單韻母i?! ?、看圖說(shuō)話(huà)引出i?! D上畫(huà)著什么?圖上畫(huà)著一件衣服。i的發(fā)音與“衣”的音相同?! ?、教學(xué)i的發(fā)音,認(rèn)清字形?! 。?)發(fā)音要領(lǐng):發(fā)音時(shí)嘴比發(fā)e時(shí)開(kāi)得更小,只留一條小縫,舌前部升高,接近上腭,舌尖抵住下齒背,讓氣從舌尖和上腭中間自然流出。 ?。?)教師范讀、領(lǐng)讀?! 。?)記憶字形?! 像什么?順口溜:“像支蠟燭i、i、i?!薄 ?、書(shū)寫(xiě)指導(dǎo):先寫(xiě)豎,再寫(xiě)點(diǎn),兩筆寫(xiě)成?! ∪?、 教學(xué)單韻母u?! ?、看圖說(shuō)話(huà)引出u?! D上畫(huà)著什么?“樹(shù)上有一只烏鴉?!睘貘f的“烏”就是u?! ?、教學(xué)u的發(fā)音,認(rèn)清字形?! 。?)發(fā)音要領(lǐng):發(fā)音時(shí)把嘴唇收攏,嘴唇比發(fā)o時(shí)更圓更小,舌尖后縮,舌根抬高,讓氣從小洞中出來(lái)。 ?。?)教師范讀,領(lǐng)讀?! 。?)記憶字形?! 】捎庙樋诹铮骸跋裰徊璞璾、u、u?!薄 ?、書(shū)寫(xiě)指導(dǎo):u一筆寫(xiě)成?! ∷摹?鞏固復(fù)習(xí)。

  • 扇形統(tǒng)計(jì)圖教案教學(xué)設(shè)計(jì)

    扇形統(tǒng)計(jì)圖教案教學(xué)設(shè)計(jì)

    教學(xué)目標(biāo)1、明確扇形統(tǒng)計(jì)圖的制作步驟,能夠根據(jù)相關(guān)數(shù)據(jù)較為準(zhǔn)確地制作扇形統(tǒng)計(jì)圖.2、進(jìn)一步理解扇形統(tǒng)計(jì)圖的特點(diǎn),建立百分比大小和扇形圓心角大小之間初步的直觀敏感度.3、能夠?qū)崿F(xiàn)不同統(tǒng)計(jì)圖數(shù)據(jù)間的合理轉(zhuǎn)換,再次體會(huì)幾種統(tǒng)計(jì)圖的不同特點(diǎn),為合理選擇統(tǒng)計(jì)圖表示數(shù)據(jù)打下一定的基礎(chǔ).4、通過(guò)實(shí)例,理解三種統(tǒng)計(jì)圖的特點(diǎn),能根據(jù)具體問(wèn)題選擇合適的統(tǒng)計(jì)圖清晰、有效地描述數(shù)據(jù).5、在統(tǒng)計(jì)活動(dòng)的過(guò)程中,通過(guò)相互間的合作與交流,掌握畫(huà)統(tǒng)計(jì)圖和選擇統(tǒng)計(jì)圖的方法;經(jīng)歷數(shù)據(jù)的收集、整理和簡(jiǎn)單分析、作出決策的統(tǒng)計(jì)活動(dòng)過(guò)程,發(fā)展統(tǒng)計(jì)觀念.6、通過(guò)對(duì)現(xiàn)實(shí)生活中的數(shù)據(jù)分析,感受數(shù)學(xué)與現(xiàn)實(shí)生活的密切聯(lián)系,說(shuō)出統(tǒng)計(jì)圖在現(xiàn)實(shí)生活中的應(yīng)用,提高學(xué)習(xí)數(shù)學(xué)興趣.

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