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人教版高中地理必修1第三章第一節(jié)自然界的水循環(huán)教案

  • 人教版高中語文必修3《動物游戲之謎》說課稿2篇

    人教版高中語文必修3《動物游戲之謎》說課稿2篇

    一、導入新課人類社會越來越現(xiàn)代化,新科學技術日新月異,令人目不暇接,稱之到了“知識爆炸”的時代也毫不為過。由此而來的是生活的快節(jié)奏,學習和工作的競爭也越來越激烈。這種競爭一直波及到了兒童,加之中國幾千年來形成的望子成龍的傳統(tǒng)觀念,使作父母的把一切希望都寄托在孩子身上,實現(xiàn)自己未能實現(xiàn)的理想。祖孫三代4、2、1的局面,使12只眼睛都盯在了孩子身上,真是走路怕摔著,吃飯怕噎著,干活怕累著,要星星不敢摘月亮,要吃什么跑遍全城也要買來。這種過分保護、溺愛及過早地灌輸知識會得到什么結果呢?樂觀者說孩子越來越聰明,越來越早熟,將來能更好適應現(xiàn)代化的要求;悲觀者則認為豆芽菜式的孩子將來經(jīng)不起風浪,小皇帝太多了很難凝聚成統(tǒng)一力量,將來誰去當兵,誰去干那些艱苦創(chuàng)業(yè)性工作……。對孩子本身來說,是幸福還是……在此不想多發(fā)議論,還是讓我們來看看動物世界的孩子們吧,也許會得到某種啟迪。

  • 人教版高中語文必修3《勸學》說課稿3篇

    人教版高中語文必修3《勸學》說課稿3篇

    《勸學》是普通高中課程標準試驗教科書語文必修三第三單元的重點篇目,該文集中反映著名思想家荀子在學習問題上的觀點和精彩斐然的論證藝術。該單元所選課文都是古代的議論性散文。通過本單元的學習在于讓學生感受我國傳統(tǒng)文化的精神,掌握基礎的文言語法知識,學習如何清晰有力的表達自己的思想和見解。本文安排在單元的第一篇,如何指導學生學好這篇課文,是實現(xiàn)“授之以漁”,樹立學生學好文言文的信心,掌握文言學習方法的關鍵。根據(jù)新課標倡導從“知識與能力”、“過程與方法”、“情感態(tài)度與價值觀”三方面出發(fā)設計課程目標的要求和高一的學生對于文言文的知識還在積累的階段,應該注重基礎知識的積累和一定量的誦讀的實際情況。我擬確定以下教學目標:1,了解荀子論述學習的思想,明確學習要靠積累、堅持不懈、專心致志的道理。2,掌握積累文言實詞、虛詞,活用、古今異議等現(xiàn)象和固定句式。

  • 人教版高中歷史必修2羅斯福新政說課稿2篇

    人教版高中歷史必修2羅斯福新政說課稿2篇

    1、教材的地位作用本課是新人教版普通高中歷史必修Ⅱ第六單元第18課的內(nèi)容,闡述羅斯福新政的背景、措施、影響。從單元知識安排看,本課與第17課《空前嚴重的資本主義世界經(jīng)濟危機》、19課《戰(zhàn)后資本主義的新變化》共同詮釋第六單元課題——《資本主義世界經(jīng)濟政策的調(diào)整》。說明了“資本主義經(jīng)濟理論和政策隨著資本主義發(fā)展而不斷調(diào)整的特點”,凸顯了“市場調(diào)節(jié)”和“國家干預”在經(jīng)濟發(fā)展中的重要性。從知識體系看,它是學生學習了第一次工業(yè)革命后自由資本主義、第二次工業(yè)革命后的壟斷資本主義等之后出現(xiàn)的,既是對上述知識的鞏固與綜合運用,又為學生學習必修二的相關內(nèi)容打下基礎,有承上啟下的作用。本課三個子目從邏輯上看又是遞進關系。第一個子目“臨危受命”承上啟下,說明了羅斯福上臺的歷史背景具有臨危受命的特點,第二個子目“實施新政”講述了羅斯福新政的主要內(nèi)容,第三個子目“擺托危機困境”主要講述了羅斯福新政的影響。

  • 人教版高中歷史必修2開辟新航路說課稿3篇

    人教版高中歷史必修2開辟新航路說課稿3篇

    一、說教材《開辟新航路》是高中《歷史·必修二》第5課的內(nèi)容。從三個方面向?qū)W生介紹了歐洲人開辟新航路的歷史:即新航路開辟的原因和條件、新航路開辟經(jīng)過以及影響。前4課內(nèi)容介紹了古代中國經(jīng)濟的基本結構與特點,從第5課開始學習資本主義世界市場的形成和發(fā)展。本課內(nèi)容相當重要,上承古代中國,下啟近代世界。新航路的開辟,打破了世界相對隔絕的狀態(tài),世界真正開始融合為一個整體。從此,以西歐為中心的世界市場的雛形開始出現(xiàn)。隨后的殖民擴張,世界市場拓展;第一次工業(yè)革命,世界市場基本形成;第二次工業(yè)革命,世界市場發(fā)展。二、說目標1、課程標準概述迪亞士、哥倫布開辟新航路的史實,認識地理大發(fā)現(xiàn)對世界市場形成的意義。2、三維目標①知識與能力:掌握新航路開辟的原因、經(jīng)過、影響。②過程與方法:引導學生分析原因及影響,培養(yǎng)學生分析和歸納問題的能力。③情感態(tài)度與價值觀:A、通過對新航路開辟過程的學習,使學生感受和學習探險家們勇于進取的開拓精神。B、通過學習新航路開辟的影響,使學生認識新航路開辟促進了人類社會的整體發(fā)展。

  • 人教版高中生物必修2伴性遺傳說課稿

    人教版高中生物必修2伴性遺傳說課稿

    (1觀察圖解,色盲基因在性別間是如何傳遞的呢?(女--女、女--男、男--女)(2)為什么不能由男性傳給男性?(色盲基因是在X染色體上,因此色盲基因是隨X染色體的傳遞而傳遞。)(3)男性的色盲基因怎樣才能傳給男性呢?(通過女兒,傳給外孫即交叉遺傳)(4)從圖解看色盲在男女中的發(fā)病情況怎樣?(男性多于女性)(5)從社會調(diào)查也是這樣,你是否能從基因和染色體的角度加以解釋?(提示:女性染色體的構成,結合基因位置及顯隱性進行分析)歸納特點:歸納出色盲基因遺傳的特點并擴展到X染色體隱性遺傳的特點上。色盲基因遺傳(X隱性遺傳)的特點:(1)男患者多于女患者(2)交叉遺傳(3)女病兒子必病,男正女兒必正等。問題探討:利用“遺傳圖解”結合“問題鏈”繼續(xù)探討,拓展到抗維生素D即X 染色體顯性遺傳的特點。(6)色盲基因在X染色體上屬隱性基因,子代表現(xiàn)男多于女,對應的正常色覺基因則屬于X顯性基因,子代表現(xiàn)應如何?(女多于男)

  • 人教版高中政治必修2共創(chuàng)幸福生活說課稿

    人教版高中政治必修2共創(chuàng)幸福生活說課稿

    環(huán)節(jié)三 案例分析 突破難點我將用多媒體展示兩組反映中學生參與民主管理的一些作法的圖片,和教材26-27頁的三個鏡頭,然后請同學們根據(jù)圖片和材料探究以下問題: 1. 聯(lián)系自身實際談談這些做法對我們有何啟示? 2.實行農(nóng)村村民自治和城市居民自治有什么意義呢? 3. 我們在實際生活中應怎么做?這樣,通過圖片和材料的展示,點明了公民參與民主管理的意義,以此來誘發(fā)學生已有的真切體驗,感受其境,增強學生共創(chuàng)想和文明社區(qū)的積極性和情感。同時,我們也希望學生在學習本課的知識后,又能做到學以致用,把所學的知識真正用到社區(qū)管理中,為所在社區(qū)管理提合理建議,從而真正實現(xiàn)了知識從生活中來,又回到生活中去的理念。環(huán)節(jié)四課堂小結 課后延伸將用多媒體展示本節(jié)課的知識框架,并注重引導學生將今天所學新知識與前面知識聯(lián)系起來,幫助學生從宏觀上把握各知識點之間的關系,有利于學生理解記憶,以此來幫助教師在第一時間掌握學生學習信息的反饋,同時培養(yǎng)學生歸納分析能力、概括能力。

  • 人教版高中政治必修2作出最佳選擇說課稿

    人教版高中政治必修2作出最佳選擇說課稿

    環(huán)節(jié)四 模擬演練 情感升華我將讓同學們閱讀課本22頁的材料,并按照所提供的步驟,組織學生舉辦一次模擬聽證會,將學生分為四個小組,分別扮演教育局工作人員、人大代表、學生家長、學校校長的角色。待學生們模擬聽證會結束后,我將采訪學生,讓他們談談參加完聽證會后的感受,從而利用角色感悟總結落實民主決策的重大意義。這樣,學生們在模擬演練中,感悟公民要通過各種渠道參與民主決策,是推進決策科學化、民主化的重要環(huán)節(jié)。為學生將來參與政治生活積累經(jīng)驗,增強了學生的主人翁意識和社會責任感。環(huán)節(jié)五 課堂小結 課后延伸我將用多媒體展示本節(jié)課的知識框架,并注重引導學生將今天所學新知識與前面知識聯(lián)系起來,幫助學生從宏觀上把握各知識點之間的關系,有利于學生理解記憶。另外,適當?shù)恼n堂練習能檢驗學生掌握知識的情況,因此,課堂小結后我將讓學生做一些典型的練習,加深學生對本課知識的理解,同時為為下一課的學習做準備。

  • 人教版高中政治必修3建設學習型社會說課稿

    人教版高中政治必修3建設學習型社會說課稿

    解析:材料是講學習型社會所產(chǎn)生的影響,A項觀點錯誤,在當前和今后相當長的時間里,學校教育仍然是人們獲得知識的最重要的途徑。B項觀點錯誤,終身學習只是成就人生目的的手段、途徑,而不是目的本身。D項說法錯誤,當前我國社會的中心工作是經(jīng)濟建設。二、問答題5.材料一:日本是公認的漫畫大國,日本的動漫產(chǎn)業(yè)產(chǎn)值每年230萬億日元,成為日本的第二大支柱產(chǎn)業(yè)。在日本,漫畫比電影、小說有時甚至比電視或音樂更受歡迎。日本漫畫的熱潮還席卷了世界:日本每年出口到美國的卡通片價值就達5 000億日元,是日本對美國鋼鐵出口金額的4倍;漫畫中的人物被迅速復制成電子游戲、卡通片及真人演出的節(jié)目。原來只是閑暇時候消遣的漫畫,正飛速滲透到人們的生活中。值得警惕的是,除了催人奮進的精華之外,日本漫畫中也存在暴力、色情、扭曲歷史等諸多糟粕,對缺乏辨別能力的青少年產(chǎn)生了許多不良影響,更引發(fā)了一系列深刻的社會問題。

  • 人教版高中政治必修4生活處處有哲學說課稿

    人教版高中政治必修4生活處處有哲學說課稿

    (二)組織學生探究知識并形成新的知識。我從學生的生活體驗入手,運用案例等形式創(chuàng)設情境呈現(xiàn)問題,使學生在自主探索、合作交流的過程中,發(fā)現(xiàn)問題、分析問題、解決問題,在問題的分析與解決中主動構建知識。主要通過幾幅漫畫讓學生思考其中的哲學道理,開始接觸哲學。漫畫一:種瓜得瓜,種豆得豆,種雞蛋得??漫畫二:甲:下雨好極啦!乙:下雨糟透了!漫畫三:——狂妄之徒,你竟然壞了祖上規(guī)矩!在引導學生思考、體驗問題的過程中,可以使學生逐步學會分析、解決問題的方法。這樣做既有利于發(fā)展學生的理解、分析、概括、想象等創(chuàng)新思維能力,又有利于學生表達、動手、協(xié)作等實踐能力的提高,促進學生全面發(fā)展,力求實現(xiàn)教學過程與教學結果并重,知識與能力并重的目標。

  • 人教版高中英語必修3Astronomy the science of the stars說課稿3篇

    人教版高中英語必修3Astronomy the science of the stars說課稿3篇

    Step 2 Pre-listeningAfter students finish their discussion, I will show a picture of Newton and ask them: Who is him? What is he famous for? Could you find out some words to describe him? Maybe students will answer that he is genius for his finding of theGravitation, making a great contribution to the progress of human being. At that time I will show another two pictures of Einstein and Hawking, letting students guess who they are and write down their idea about the Gravitation. For I have arranged them to search more information about the gravity before this class, Students have beenfamiliar with the topic and will not be afraid about this abstract conception, which is helpful for their listening.Step 3 While-listeningIn this step, students will be required to listen the material for three times. The first and listening is extensive listening and the second and third listening is intensive listening. In the first time, They are required to listen a material including Part 1 and Part 2 and choose the best summary of the listening text. After they choose the right answer, They also need work in group to explain what is wrong with the others. Then I will make a conclusion that we should pay attention to the first paragraph and last paragraph and some keys to get the main idea. By doing this, their capacity of generalization will have a great improvement.Before the second listening, I will ask students to scan the blank on the power point quickly and ask them to note down some key words .Then ask them to listen to the Part 1again and fill the first column of the chart. Maybe some students just show the ideas of these three scientists an still can’t catch their development of gravity. Therefore, I will ask them to listen to Part 2 again and fill in the rest. After finish the listening, I will give them ten minutes to discuss with their partner. I will also guidethem to improve their answers when they discuss with others.

  • 人教版高中英語必修2Wildlife Protection說課稿3篇

    人教版高中英語必修2Wildlife Protection說課稿3篇

    When it comes to the students’ studying methods, I'd like to introduce my Ss first. The Ss have a good command of basic language points. They’re interested in learning English, and they take an active part in English class, so they will have fun in autonomous, cooperative and inquiry learning. I will just serve as a guide, showing them the way to explore how to make more progress in their English learning.Now it’s time for the most important stage of this lesson. My teaching procedures are arranged as follows:Step1.Leading-in (3 minute)Play a video of a wide variety of wildlife to introduce my topic. Step2. Speaking (12 minutes)We will use our textbook Page25. Let the Ss fast read the short paragraph to warm up. Ask them to talk about the report on some endangered wildlife in China with the dialogue patterns on the screen. Lastly, I will invite some groups to demonstrate their dialogues about saving wildlife in China.Step3.English play (3 minutes)Watch another video in praise of their excellent performance just now. It’s about Jack Chen’s(成龍)and Yang Ziqiong’s wildlife protection.Step4. Listening (twice 13 minutes)This time, I’ll ask the Ss to fill in the blanks of the monologue of the 2 movie stars above. Step5.Discussion (3 minutes)Which would you like to choose to wear, clothes made of cotton, artificial leather or animal skins? Why ?Step6. Summary (3 minutes)1. If there were no wildlife, there wouldn’t exist human beings. If the buying stops, the killing can, too.2. Animals are our friends. To love animals is to love ourselves. Stop hunting, killing and destroying wildlife.3. Let’s live in harmony with all the living things in the world. Step7. Music appreciation (3 minutes)Let the Ss appreciate the song Earth Song by Michael Jackson. Last but not the least, I will show you my blackboard design.

  • 人教版高中英語必修3Canada-the true north說課稿4篇

    人教版高中英語必修3Canada-the true north說課稿4篇

    Good afternoon, teachers, It’s my great pleasure to be here sharing my lesson with you.The content of my lesson is Senior English Book 3 Unit 5 Canada —— “The true North”.I’ll be ready to begin this lesson from five parts. Analysis of the teaching material,the teaching methods,the studying methods, the teaching procedure,and Blackboard design.First, let me talk about the teaching material.Part 1 Teaching Material:This unit is about the introduction of Canada. By studying of this unit,we’ll enable the students to learn the geography, population, main cities, and natural beauty, natural resources of Canada. Through the training of the unit, it also requires students to learn some Language skills such as the expressions of position and emotions.So it plays an important part in the English teaching in this book.After studying the teaching material and analyzing the rule of children’s growing of mind,I think the teaching aims are the followings:1.Knowledge objects:(1) make the students learn some new words and phrases(2) make the students understand the content of the lesson.2.Ability objects:(1)To develop the Ss’ abilities of listening, speaking, reading and writing. Especially reading and speaking ability.(2) learn to talk about the characters of Canada in English(3)To train the Ss’ ability of working in pairs.3.Emotion objects:(1)Enable students to understand the characters of Canada..(2)Stimulate Ss to work hard to make China stronger.Part 2 Teaching Methods:I think helping students learn to master new words and phrases and improve the students’ reading and speaking ability is import and the difficult.According to the analysis of the teaching material and the import points and the difficult points,I will use the following teaching methods : question-guiding approach; fast-reading and careful reading; multi-media teaching methods; discussion

  • 人教版高中英語必修3Festivals around the World說課稿3篇

    人教版高中英語必修3Festivals around the World說課稿3篇

    Teaching plan for Unit 1 book3Good morning, teachers. It’s my great pleasure to be here because I can share my lesson with you and I can learn a lot from it. I’ll begin my lesson from the following four parts, the teaching material, the teaching methods, the studying methods and the teaching procedure.Firstly, let me talk about the teaching material. The content of my lesson is the reading passage festivals and celebrations of Unit 1 Festivals around the world. This passage is about festivals and celebrations. By studying this passage, we’ll enable the students to know that festivals exit everywhere, and many of festivals in different countries celebrate similar ideas. As we all know, the reading passage is the center of each unit. If the Ss can learn it well, it will be helpful to make the Ss learn the rest of this unit.After studying the teaching material, I think the teaching aims are as the followings:1. Knowledge aims:(1) The Ss can master the usage of the important words andexpressions.(2)The Ss can use the __________________ (grammar) in the proper situation.Make students know about the festivals all over the world and the detail of the festivals, such as origin, content, and the date of the holiday festivals.2. Ability aims:(1) Students can talk about festivals and celebrations in English(2) To improve the student’s reading ability, especially their skimming and scanning ability.3. Emotion aims:Make the Ss know about the foreign festivals, and respect other countries’ custom.Next, let’s come to the important points and the difficult points.The important point is how to make the Ss understand the text better and the difficult point is how can they talk about it. secondly, Teaching Methods:1. task-based Language Teaching2. Computer assisted language teaching.3. question-and–answer methodThirdly, Studying Methods:

  • 人教版高中英語必修3The million pound bank note說課稿3篇

    人教版高中英語必修3The million pound bank note說課稿3篇

    在接下來的細讀環(huán)節(jié),我套用了高考對閱讀理解的考查方式設置了5個問題,分別為三個推理判斷題,一個細節(jié)題和一個主旨大意題。學生需要對文章的內(nèi)容進行分析、歸納、推理、猜測等高級思維活動才能做出正確的回答?!驹O計意圖】這一過程是對學生進行細讀的訓練,培養(yǎng)學生獲取特定信息和挖掘文章深層次信息的能力。第三環(huán)節(jié):Intensive-reading (精讀) 15′第三個環(huán)節(jié)精讀,既是最重要的環(huán)節(jié),也是突破本課重難點的關鍵。首先,讓學生思考劇本中人物看到百萬英鎊前后的態(tài)度發(fā)生了怎樣的變化。其次,讓學生仔細閱讀文章,找出可以表現(xiàn)人物態(tài)度變化的具體的語言和動作。最后,讓學生總結人物的態(tài)度發(fā)生變化的根本原因是什么,從而引出Money Talks, 供學生思考?!驹O計意圖】通過一系列的活動培養(yǎng)學生學習從人物的語言和動作探究人物的心理,使學生進一步體會戲劇語言的魅力,從而對文章背后所反映的社會問題進行思考,也為下一步的討論環(huán)節(jié)做好鋪墊。

  • 人教版高中英語必修5First aid說課稿6篇

    人教版高中英語必修5First aid說課稿6篇

    In this class, I have 3 teaching aims, that is, knowledge aims, ability aims and emotion aims.1) Knowledge-Teach students new words and expressions, such as temporary, bleed,sprain choke, first aid, fall ill and so on.-Enable students to have a better understanding for some basic knowledge of first aid.2) Ability-Train students’ speaking, reading and writing abilities by different teaching activities, such as skimming, comprehending, team work, role play, retelling and writing.-Develop students’ reading strategy on how to move general idea to specific information.3) Emotion-Promote students’ awareness of giving first aid.- Cultivate students’ creativities.Then let’s come to my teaching methods and activities.III. Teaching methods and activities:To achieve different teaching aims, various kinds of teaching methods and activities will be adopted throughout this period, such as TBL (task-based learning), skimming, team work, brainstorm and others, which can offer students opportunities to fulfill tasks in which they can use language to achieve a specific outcome.IV. Teaching aids:Computer and blackboardV. Teaching important points:1) Make students have a clear mind for the structure of the text.2) Help students understand the theme of the text.VI. Teaching difficulties:1) So many new words may affect students’ understanding.2) How to get students to know about the functions of the skin and thecauses, characteristics and treatments for different degree burns,and the knowledge about giving first aid. VII. Blackboard design:

  • 人教版高中英語必修5Life in the Future說課稿5篇

    人教版高中英語必修5Life in the Future說課稿5篇

    Good afternoon, everyone. It’s my great pleasure to be here sharing my lesson with you. The content of my lesson is Senior English for China Book5 Unit 3 Life in the Future. I’ll be ready to begin this lesson from six parts: Analysis of the teaching material, Analysis of the students, Teaching aims and important and difficult points, Teaching methods and aids, Teaching procedures, and Blackboard design. First, let me talk about the teaching material.Part 1 Analysis of the Teaching Material:This unit is about what human beings’ life will be like in about one thousand years. By studying of this unit, we’ll Enable the students to know the changes in humans’ life and some new inventions bringing about the change and develop the interest in science. This lesson plays an important part in the English teaching in this unit. This is an important lesson in Book Five. From this lesson, it starts asking the Ss to grasp contents of each passage. Therefore, this lesson is in the important position of the teaching material. If the Ss can learn it well, it will be helpful to make the Ss learn the rest of this unit.Part 2 Analysis of the SsAs Senior2 Ss, they are at different levels of English fluency, some of them have lost interest in English. So during the lesson, I arrange a variety of activities to let all of them join in to attract their interest and let them be confident and taste the joy of success.

  • 人教版高中英語必修5The United Kingdom說課稿4篇

    人教版高中英語必修5The United Kingdom說課稿4篇

    Teaching Aims:Knowledge 1. Get the students to learn the useful new words and expressions in this section. Aims:2. Let the students learn about how the UK was formed and the four groups of invaders.1. Develop students’ reading ability and let them learn different Ability reading skills. Aims:2. Enable students to learn to talk about the United Kingdom and the Union Jack Emotional 1. Let students know more about the UK2. Develop students’ sense of cooperative learning Aims:Teaching Important Points:1. Let the students learn about the countries of the United Kingdom and the Union Jack2. Get the students to read the passage and know about how the UK was formed and the four groups of invaders.3. Have the students learn different reading skills.Teaching Difficult Ponts:1. Develop students’ reading ability.2. Enable students to talk about the United Kingdom and the Union Jack.3. Let students learn how the UK was formed geographically and historically.Teaching Methods:Showing pictures, asking, exercising, listening, reading etc.Teaching Aids:A computer,a projector and a blackboard.Teaching Procedures: 1) Show a map of the world, ask students the following questions:Where is the UK?What’s the full name of the UK?2) Ask the students work in pairs to do the quiz on Page 9.Do you want to test how many things you know about the United Kingdom? Let’s have a small test.Using the map on P9, students answer the following questions:?How many countries does the UK consist of? What are they??England is divided into three main areas. Do you know what they are? 1) Scanning (10Minutes )Let the students hold the questions asked in pre-reading and read the passagequickly and then let them do the following exercise.Join lines to the right answer.

  • 雙曲線的簡單幾何性質(zhì)(1)教學設計人教A版高中數(shù)學選擇性必修第一冊

    雙曲線的簡單幾何性質(zhì)(1)教學設計人教A版高中數(shù)學選擇性必修第一冊

    問題導學類比橢圓幾何性質(zhì)的研究,你認為應該研究雙曲線x^2/a^2 -y^2/b^2 =1 (a>0,b>0),的哪些幾何性質(zhì),如何研究這些性質(zhì)1、范圍利用雙曲線的方程求出它的范圍,由方程x^2/a^2 -y^2/b^2 =1可得x^2/a^2 =1+y^2/b^2 ≥1 于是,雙曲線上點的坐標( x , y )都適合不等式,x^2/a^2 ≥1,y∈R所以x≥a 或x≤-a; y∈R2、對稱性 x^2/a^2 -y^2/b^2 =1 (a>0,b>0),關于x軸、y軸和原點都是對稱。x軸、y軸是雙曲線的對稱軸,原點是對稱中心,又叫做雙曲線的中心。3、頂點(1)雙曲線與對稱軸的交點,叫做雙曲線的頂點 .頂點是A_1 (-a,0)、A_2 (a,0),只有兩個。(2)如圖,線段A_1 A_2 叫做雙曲線的實軸,它的長為2a,a叫做實半軸長;線段B_1 B_2 叫做雙曲線的虛軸,它的長為2b,b叫做雙曲線的虛半軸長。(3)實軸與虛軸等長的雙曲線叫等軸雙曲線4、漸近線(1)雙曲線x^2/a^2 -y^2/b^2 =1 (a>0,b>0),的漸近線方程為:y=±b/a x(2)利用漸近線可以較準確的畫出雙曲線的草圖

  • 拋物線的簡單幾何性質(zhì)(1)教學設計人教A版高中數(shù)學選擇性必修第一冊

    拋物線的簡單幾何性質(zhì)(1)教學設計人教A版高中數(shù)學選擇性必修第一冊

    問題導學類比用方程研究橢圓雙曲線幾何性質(zhì)的過程與方法,y2 = 2px (p>0)你認為應研究拋物線的哪些幾何性質(zhì),如何研究這些性質(zhì)?1. 范圍拋物線 y2 = 2px (p>0) 在 y 軸的右側(cè),開口向右,這條拋物線上的任意一點M 的坐標 (x, y) 的橫坐標滿足不等式 x ≥ 0;當x 的值增大時,|y| 也增大,這說明拋物線向右上方和右下方無限延伸.拋物線是無界曲線.2. 對稱性觀察圖象,不難發(fā)現(xiàn),拋物線 y2 = 2px (p>0)關于 x 軸對稱,我們把拋物線的對稱軸叫做拋物線的軸.拋物線只有一條對稱軸. 3. 頂點拋物線和它軸的交點叫做拋物線的頂點.拋物線的頂點坐標是坐標原點 (0, 0) .4. 離心率拋物線上的點M 到焦點的距離和它到準線的距離的比,叫做拋物線的離心率. 用 e 表示,e = 1.探究如果拋物線的標準方程是〖 y〗^2=-2px(p>0), ②〖 x〗^2=2py(p>0), ③〖 x〗^2=-2py(p>0), ④

  • 橢圓的簡單幾何性質(zhì)(1)教學設計人教A版高中數(shù)學選擇性必修第一冊

    橢圓的簡單幾何性質(zhì)(1)教學設計人教A版高中數(shù)學選擇性必修第一冊

    1.判斷 (1)橢圓x^2/a^2 +y^2/b^2 =1(a>b>0)的長軸長是a. ( )(2)若橢圓的對稱軸為坐標軸,長軸長與短軸長分別為10,8,則橢圓的方程為x^2/25+y^2/16=1. ( )(3)設F為橢圓x^2/a^2 +y^2/b^2 =1(a>b>0)的一個焦點,M為其上任一點,則|MF|的最大值為a+c(c為橢圓的半焦距). ( )答案:(1)× (2)× (3)√ 2.已知橢圓C:x^2/a^2 +y^2/4=1的一個焦點為(2,0),則C的離心率為( )A.1/3 B.1/2 C.√2/2 D.(2√2)/3解析:∵a2=4+22=8,∴a=2√2.∴e=c/a=2/(2√2)=√2/2.故選C.答案:C 三、典例解析例1已知橢圓C1:x^2/100+y^2/64=1,設橢圓C2與橢圓C1的長軸長、短軸長分別相等,且橢圓C2的焦點在y軸上.(1)求橢圓C1的半長軸長、半短軸長、焦點坐標及離心率;(2)寫出橢圓C2的方程,并研究其性質(zhì).解:(1)由橢圓C1:x^2/100+y^2/64=1,可得其半長軸長為10,半短軸長為8,焦點坐標為(6,0),(-6,0),離心率e=3/5.(2)橢圓C2:y^2/100+x^2/64=1.性質(zhì)如下:①范圍:-8≤x≤8且-10≤y≤10;②對稱性:關于x軸、y軸、原點對稱;③頂點:長軸端點(0,10),(0,-10),短軸端點(-8,0),(8,0);④焦點:(0,6),(0,-6);⑤離心率:e=3/5.

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