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人教版高中地理必修1第一章第四节地球的图层结构教案

  • 人教版高中政治必修3文化与经济、政治说课稿

    人教版高中政治必修3文化与经济、政治说课稿

    (二)讲授新课:1、讲授重点:文化与经济、政治的关系。我首先带领学生分析课本上的活动探究,了解日常生活中的常见活动,让学生们观看视频材料帮助学生对文化活动、经济活动、政治活动进行辨别和分类。然后让学生们举例说明,综合探究,最后通过集体讨论得出文化与经济政治的关系:经济是基础,政治是经济的集中表现,文化是经济和政治的反映,一定的文化由一定的经济和政治决定,又反作用于政治和经济。这个问题是本课重点。要引导学生循序渐进,集体讨论,得出结论。2、突破难点:(1)文化与经济政治相互交融,在时代发展的进程中。首先播放上海世博会视频,让学生体会文化、经济、政治活动,另外我会引导学生积极举生活中的事例,来说明问题,让学生学会举一反三,充分理解这一知识,让学生明白文化与经济、政治的联系,让学生清楚文化渗透的力量有多大,帮助学生树立反对文化霸权主义的意识。

  • 人教版高中政治必修3体味文化说课稿

    人教版高中政治必修3体味文化说课稿

    (二)引入内容1、播放幻灯片,从名言引出思考,什么是文化,如何理解文化?学生探究,既可质疑,也可谈自己对文化的理解2、幻灯片,以三组幻灯,分三个阶段,学生分别通过小组讨论的形式,归纳总结文化现象的三个特征3、根据对文化现象的认识,归纳总结文化的内涵及外延小活动:把不是文化的山、水、树,由几组同学画出来,体会文化的含义4、一组判断题,哪些是文化的,哪些不是5、理解文化的特点首先,根据前面,总结文化现象的特征,归纳出文化的普通性及特殊性其次,播放视频,归纳总结文化是人类特有的现象第三,根据教材材料,小组探究总结,文化是后天习得的第四,借助小活动的材料,归纳,文化需要一定的物质载体6、文化的作用首先、观看视频,小组探究总结,文化对于人的影响其次,观看视频,小组探究总结,文化对社会的影响

  • 人教版高中政治必修3体味文化说课稿

    人教版高中政治必修3体味文化说课稿

    3、文化的力量。为了使学生能辨证地分析文化的力量,我设计了两个问题进行探讨:(1)是不是任何文化都能起促进作用?(2)你在听或唱国歌时感受到一种什么样的力量?这样,学生在对比中学会辨证地分析文化的力量——先进的、健康的文化能促进社会发展和个人成长;落后的、腐朽的文化则阻碍社会发展和个人成长。同时还能提高学生的文化赏析能力,从而引导学生装自觉参加健康有益的文化活动,抵制不良文化的影响,投身到社会主义精神文明建设中去。关于课堂练习,我准备了5个针对性比较强的选择题,从而加深巩固本框题的重难点知识。最后,播放歌曲《走进新时代》,展示本课知识结构,指出本框题需重点掌握的问题,结束本课教学。课后作业,我设计了这样一个辨析的题目:文化是人们创造的全部财富的总和,它是人类特有的现象。

  • 人教版高中政治必修4价值与价值观说课稿(二)

    人教版高中政治必修4价值与价值观说课稿(二)

    二、学生情况分析(说学法)1、学生学习基础分析:学生通过对《生活与哲学》前面三个单元的学习,初步掌握了运用唯物论、辩证法、认识论的观点去认识问题、分析问题的能力;再通过对第十一课的学习,学生对马克思主义的历史观有了初步的理解,初步树立了正确的理想信念,这为本课教学目标的落实奠定了知识基础。 2、学生能力分析 :高二学生拥有一定生活体验,具备一定的信息收集和筛选能力、阅读能力、语言表达能力、对问题的一定的探究能力,同伴合作能力和具备初步逻辑思维能力。3、学生心理分析:在我国现阶段,以为人民服务为核心的社会主义道德建设过程中涌现了大批的先进人物和道德典范,但同时由于社会价值的多元化,个人主义、享乐主义、拜金主义等资本主义腐朽思想也同样在影响着当代的中学生。

  • 人教版高中政治必修4生活处处有哲学说课稿

    人教版高中政治必修4生活处处有哲学说课稿

    (二)组织学生探究知识并形成新的知识。我从学生的生活体验入手,运用案例等形式创设情境呈现问题,使学生在自主探索、合作交流的过程中,发现问题、分析问题、解决问题,在问题的分析与解决中主动构建知识。主要通过几幅漫画让学生思考其中的哲学道理,开始接触哲学。漫画一:种瓜得瓜,种豆得豆,种鸡蛋得??漫画二:甲:下雨好极啦!乙:下雨糟透了!漫画三:——狂妄之徒,你竟然坏了祖上规矩!在引导学生思考、体验问题的过程中,可以使学生逐步学会分析、解决问题的方法。这样做既有利于发展学生的理解、分析、概括、想象等创新思维能力,又有利于学生表达、动手、协作等实践能力的提高,促进学生全面发展,力求实现教学过程与教学结果并重,知识与能力并重的目标。

  • 人教版高中英语必修4Body Language说课稿4篇

    人教版高中英语必修4Body Language说课稿4篇

    Textbook: Senior English for China (Book 4), by Liu Daoyi Time Allotment: 1 period (40 minutes)Date: March 20, 2014Teaching aids: blackboard, Multi-media, Power Point, chalk I. Text Analysis (教材分析)This unit is about body language, and the text selected in the reading part demonstrates the difference and similarity of body language in many parts of the world. Through learning this passage, students are required to raise their awareness of using body language in different parts of the world. As body language is closely related to our daily life, it is easy to arouse students’ interest in learning this text. Reading skills and speaking training are designed around the text.II. Teaching Objectives (教学目标)By the end of the lesson, students will be able to:1. Language Skill Objective(语言技能目标): develop reading ability (skimming and scanning)as well as speaking ability.2. Cultural Knowledge Objective(文化知识目标): know about the cultural differences of using body language.3. Affective Objective(情感目标): increase students’ awareness of using body language correctly in different cultures. III.Teaching Focuses and Difficulties(教学重点和难点)1. Teaching Focuses(教学重点): the difference and similarity of body language in many parts of the world.2. Teaching Difficulties(教学难点): develop students’ reading abilities of skimming and scanning and ask the students to show their opinions with fluent English.

  • 人教版高中英语必修2Cultural Relics说课稿2篇

    人教版高中英语必修2Cultural Relics说课稿2篇

    Ⅲ. Analysis of the teaching material:The topic of this unit is cultural relics. Students are quite interested in topics about different cultures around the world. This is the second period of the whole unit. As a reading class, the passage mainly talks about the history of the amber room (how it was made, sent as a gift, lost and rebuilt).According to the new national curriculum, when teaching reading, much emphasis should be put on training the students’ reading skills.Ⅳ. Teaching objectives1. Language objectives:1) Students are required to master the key words and phrases occurred in the passage (e.g. amazing, decorate, belong, in return, less than etc.)2) Students are required to learn the attributive clause and acquire the sentence pattern.2. 1) Students are required to describe a certain thing by using the new sentence patterns.2) Students are required to master two kinds of reading skills—skimming and scanning, and learn to use them in their daily reading.3. 1) Students are required to know the history of the amber room.2) Students are required to appreciate cultural relics and understand the importance of protecting them.Ⅴ. Teaching important and difficult points1) the new words, phrases, and sentence pattern in the course of reading.2) Teaching difficult point: Help the students master two kinds of reading skills—skimmingand scanning and learn to apply them in daily use.Ⅵ. Teaching methods:Task-based method & Top-down model Ⅶ. Teaching aids: PPT, pictures, blackboard Ⅷ. Teaching procedure:

  • 人教版高中英语必修2Wildlife Protection说课稿3篇

    人教版高中英语必修2Wildlife Protection说课稿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(成龙)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.

  • 人教版高中英语必修4A taste of English Humor说课稿3篇

    人教版高中英语必修4A taste of English Humor说课稿3篇

    Then I would ask them to think of a funny English or Chinese and tell it to partners. While telling stories, they can use expressions and some acting to help make the story funny. 5 minutes would be given to do this.Those stories they told there will be the material for their writing. Soletting them tell it at first is helpful. And they can make a difference between telling a funny story and writing it down. Generally speaking, it is difficult forstudents to write well because they don’t know what to write and how to write. Asking them to tell their own stories at first can help them come up with what to write.After their telling, I would invite someone to share his/her story with all of us and I would write it down on the blackboard.This example story would be used as a sample to illustrate the format of funny story. Different from a story from teacher or textbook, a story from students can obviously become a interesting material to draw students’ attention.Then I would ask the whole class to put this story into several parts. It might be a little bit difficult for them. So I would ask them to find out whether all the sentences are necessary. After delete some sentences, there are 6 sentences left behind. Then they can easily put them into three parts. After interaction with students, I would teach them the right terms for each part and conclude the format of funny story.This step is the key and difficult point in my lesson. So I mainly usetask-based teaching method in this part and the task for students was divided into several stages. With the separated difficult level, students can find there are usually three parts in writing. They can also learn to write without the unnecessary parts in the process of analyzing. And then I wouldn’t rush to tell them the right terms to them directly. Instead, I would ask them to name them by their own. A confused mind is better for acquiring knowledge.While-writing:Then I would give students 7 minutes to write down this story, without other requirements.With all the preparations in pre-writing, students’ difficulties were cleared. So it would be much easier for them to write down the story within 7 minutes. There are no other requirements because students’ first writing is actually a drafting. It would be revise and edit several times later. Writing, as a skill

  • 人教版高中英语必修3Canada-the true north说课稿4篇

    人教版高中英语必修3Canada-the true north说课稿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

  • 人教版高中英语必修4Women of achievement说课稿4篇

    人教版高中英语必修4Women of achievement说课稿4篇

    Good morning, distinguished judges:It’s my honor to talk about my teaching ideas with you. Today my topic is Women of Achievement. My presentation consists of six parts: the analysis of teaching material and student, teaching aims, key and difficult points, teaching and studying method, teaching procedures and blackboard design.First, let’s focus on the analysis of teaching material. This lesson is from New Senior English for China Student’s Book 4 Unit 1, the reading part. The main topic of the passage is the introduction of a student of Africanwildlife. After this lesson, the students will learn more information about her studying chimps in Africa, and their reading and speaking abilities can be developed as well.The next part is the analysis of students. My students are in senior high students. They have learnt English for many years, they’ve known many words and sentences, but their speaking and reading abilities are still not very good. So I will practice their speaking and reading abilities through different exercises.According to the New Standard Curriculum and the present situation, I set the teaching aims as follows: firstly, knowledge aims. Students can grasp some new words, such as worthwhile, move off. Moreover, students can understand the content of the passage and get familiar with the topic of studying chimps in wildlife. Secondly, ability aims. Students can use reading strategies such as skimming and scanning in reading process. Thirdly, emotional aims. Students can have the awareness of protecting animals and care about animals.Based on the above analysis, the key point of this lesson is to get the main idea and the detailed information from the passage; the difficult point is to talk about the wildlife protection and use reading strategies.

  • 人教版高中英语必修3Festivals around the World说课稿3篇

    人教版高中英语必修3Festivals around the World说课稿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:

  • 人教版高中英语必修3Healthy Eating说课稿4篇

    人教版高中英语必修3Healthy Eating说课稿4篇

    Language learning needs a context, which can help the learners to understand the language and then can product comprehensible output, so computer has the advantages to make the materials attractive.Part 3 Learning MethodsTask-based, self-dependent and cooperative learningPart 4 Teaching ProcedureStep One Lead-in“Interest is the best teacher.” Therefore, at the very beginning of the class, I should spark the students’ mind to focus on the centre topic “the band”. I’ll show some pictures of food to attract their attention and then bring some questions.Question:What kind of food they like?What should go into a good meal?The answers must relate to the diet. After this, the students will be eager to know something about a balance diet and this is the very time to naturally lead the class into Step 2Step 2 Reading for information: skimming and scanning In this step, I use Task-based Language Teaching method, which can give students a clear and specific purpose while skimming and scanning the context.Task 1 General ideaThe students will be asked to just glance at the title and the pictures of the passage, and then guess what they will read in the text. And they’ll be divided into groups of four to have a discussion.The purpose is to inspire the students to read actively, not passively. In addition, the task is to develop the students’ reading skill by making prediction and to encourage the students to express their thoughts in English and cooperate with each other.Task 2 Main idea of each paragraphCooperative learning can raise the students’ interest and create an atmosphere of achievement. Based on this theory, I divide the whole class into 4 groups to skim the whole text and get the main idea of each paragraph.

  • 人教版高中英语必修4Working The Land说课稿3篇

    人教版高中英语必修4Working The Land说课稿3篇

    Knowledge objectives:(1) to make Ss grasp the usage of words, expressions and sentence structures: statistics, struggle, thanks to, rid of, some patterns for persuasion, the “ing” form as subject and object;(2)to use learnt knowledge to persuade sb.Ability objectives:(1) to develop Ss’ reading skills(skimming, scanning, word guessing);(2) to improve Ss’ speaking, communicating and cooperating skills.Emotional objectives:to make Ss know the contribution of Yuan,and learn his spirit and his simple life time.Teaching important and difficult points:(1) some words, expressions and sentence structures mentioned above;(2)the content of the text;(3)training their reading and speaking skills.Teaching methods: CLT, TBLT,QT.Learning strategies: CLS, QLS, TBLS.Teaching procedures:Step 1 lead-in: (1) teacher plays a piece of recent news from CCTV about the harvest of the super hybrid rice, and ask students whether they know Yuan or not, and talk about him and his contribution.(2)Brain storm: let Ss describe Yuan in their minds including his appearance, his living condition and so on.Step 2 fast reading tasks:(1)teacher introduces Yuan and super hybrid rice(2)make Ss read the text as fast as possible with questions. Such as: what’s the general ideaof this passage? What’s Yuan’ dream? (skimming and scanning skill)Step 3 intensive reading tasks(1)let Ss read the text silently, find topic sentence of each paragraph and draw the difficult sentences and the knowledge what they don’t understand.(words guessing)(2)teacher and Ss talk about the important words, expressions and sentences together, and ask Ss to retell the content of the text.(summarizing and paraphrasing)(3)teacher summarize this part.(4) read again following the courseware.

  • 人教版高中英语必修3The million pound bank note说课稿3篇

    人教版高中英语必修3The million pound bank note说课稿3篇

    在接下来的细读环节,我套用了高考对阅读理解的考查方式设置了5个问题,分别为三个推理判断题,一个细节题和一个主旨大意题。学生需要对文章的内容进行分析、归纳、推理、猜测等高级思维活动才能做出正确的回答。【设计意图】这一过程是对学生进行细读的训练,培养学生获取特定信息和挖掘文章深层次信息的能力。第三环节:Intensive-reading (精读) 15′第三个环节精读,既是最重要的环节,也是突破本课重难点的关键。首先,让学生思考剧本中人物看到百万英镑前后的态度发生了怎样的变化。其次,让学生仔细阅读文章,找出可以表现人物态度变化的具体的语言和动作。最后,让学生总结人物的态度发生变化的根本原因是什么,从而引出Money Talks, 供学生思考。【设计意图】通过一系列的活动培养学生学习从人物的语言和动作探究人物的心理,使学生进一步体会戏剧语言的魅力,从而对文章背后所反映的社会问题进行思考,也为下一步的讨论环节做好铺垫。

  • 人教版高中英语必修5First aid说课稿6篇

    人教版高中英语必修5First aid说课稿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:

  • 人教版高中英语必修5Great scientists说课稿4篇

    人教版高中英语必修5Great scientists说课稿4篇

    通过写文章梗概,培养学生综合运用语言的能力,学习用恰当的英语描述科学家的故事。这是本课的教学难点。教师可以使用完形填空的方式来帮助学生整理语篇,从而来降低难度。本课的教学重点的突破方法是:在阅读前,让学生初步了解得出科学观点所需要的基本程序,从而轻松而自然地导入文章的阅读;在阅读过程中,由易到难设计快速阅读和精读的问题,层层推进各种阅读活动,让学生对阅读内容从整体感知到细节理解,最后深层读懂整篇文章,同时加强阅读策略的指导,让每个学生都主动参与课堂教学活动,最终达到提高阅读能力的目的。Step 4 Post-readingGroup Activities四人小组共同合作,在老师的适当指导下,就以下2个问题展开讨论,让学生就所知、所学、所感和所想融入话题,然后抽若干同学代表作小组发言。1. What do you think about John Snow, and what should we learn from him?2. Cholera was 19th century disease, which two diseases are similar to cholera today? Why?

  • 人教版高中英语必修5Life in the Future说课稿5篇

    人教版高中英语必修5Life in the Future说课稿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.

  • 双曲线的简单几何性质(1)教学设计人教A版高中数学选择性必修第一册

    双曲线的简单几何性质(1)教学设计人教A版高中数学选择性必修第一册

    问题导学类比椭圆几何性质的研究,你认为应该研究双曲线x^2/a^2 -y^2/b^2 =1 (a>0,b>0),的哪些几何性质,如何研究这些性质1、范围利用双曲线的方程求出它的范围,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,双曲线上点的坐标( x , y )都适合不等式,x^2/a^2 ≥1,y∈R所以x≥a 或x≤-a; y∈R2、对称性 x^2/a^2 -y^2/b^2 =1 (a>0,b>0),关于x轴、y轴和原点都是对称。x轴、y轴是双曲线的对称轴,原点是对称中心,又叫做双曲线的中心。3、顶点(1)双曲线与对称轴的交点,叫做双曲线的顶点 .顶点是A_1 (-a,0)、A_2 (a,0),只有两个。(2)如图,线段A_1 A_2 叫做双曲线的实轴,它的长为2a,a叫做实半轴长;线段B_1 B_2 叫做双曲线的虚轴,它的长为2b,b叫做双曲线的虚半轴长。(3)实轴与虚轴等长的双曲线叫等轴双曲线4、渐近线(1)双曲线x^2/a^2 -y^2/b^2 =1 (a>0,b>0),的渐近线方程为:y=±b/a x(2)利用渐近线可以较准确的画出双曲线的草图

  • 抛物线的简单几何性质(1)教学设计人教A版高中数学选择性必修第一册

    抛物线的简单几何性质(1)教学设计人教A版高中数学选择性必修第一册

    问题导学类比用方程研究椭圆双曲线几何性质的过程与方法,y2 = 2px (p>0)你认为应研究抛物线的哪些几何性质,如何研究这些性质?1. 范围抛物线 y2 = 2px (p>0) 在 y 轴的右侧,开口向右,这条抛物线上的任意一点M 的坐标 (x, y) 的横坐标满足不等式 x ≥ 0;当x 的值增大时,|y| 也增大,这说明抛物线向右上方和右下方无限延伸.抛物线是无界曲线.2. 对称性观察图象,不难发现,抛物线 y2 = 2px (p>0)关于 x 轴对称,我们把抛物线的对称轴叫做抛物线的轴.抛物线只有一条对称轴. 3. 顶点抛物线和它轴的交点叫做抛物线的顶点.抛物线的顶点坐标是坐标原点 (0, 0) .4. 离心率抛物线上的点M 到焦点的距离和它到准线的距离的比,叫做抛物线的离心率. 用 e 表示,e = 1.探究如果抛物线的标准方程是〖 y〗^2=-2px(p>0), ②〖 x〗^2=2py(p>0), ③〖 x〗^2=-2py(p>0), ④

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