教学准备 1. 教学目标 知识与技能掌握双曲线的定义,掌握双曲线的四种标准方程形式及其对应的焦点、准线.过程与方法掌握对双曲线标准方程的推导,进一步理解求曲线方程的方法——坐标法.通过本节课的学习,提高学生观察、类比、分析和概括的能力.情感、态度与价值观通过本节的学习,体验研究解析几何的基本思想,感受圆锥曲线在刻画现实和解决实际问题中的作用,进一步体会数形结合的思想.2. 教学重点/难点 教学重点双曲线的定义及焦点及双曲线标准方程.教学难点在推导双曲线标准方程的过程中,如何选择适当的坐标系. 3. 教学用具 多媒体4. 标签
教 学 过 程教师 行为学生 行为教学 意图时间 *揭示课题 8.4 圆(二) *创设情境 兴趣导入 【知识回顾】 我们知道,平面内直线与圆的位置关系有三种(如图8-21): (1)相离:无交点; (2)相切:仅有一个交点; (3)相交:有两个交点. 并且知道,直线与圆的位置关系,可以由圆心到直线的距离d与半径r的关系来判别(如图8-22): (1):直线与圆相离; (2):直线与圆相切; (3):直线与圆相交. 介绍 讲解 说明 质疑 引导 分析 了解 思考 思考 带领 学生 分析 启发 学生思考 0 15*动脑思考 探索新知 【新知识】 设圆的标准方程为 , 则圆心C(a,b)到直线的距离为 . 比较d与r的大小,就可以判断直线与圆的位置关系. 讲解 说明 引领 分析 思考 理解 带领 学生 分析 30*巩固知识 典型例题 【知识巩固】 例6 判断下列各直线与圆的位置关系: ⑴直线, 圆; ⑵直线,圆. 解 ⑴ 由方程知,圆C的半径,圆心为. 圆心C到直线的距离为 , 由于,故直线与圆相交. ⑵ 将方程化成圆的标准方程,得 . 因此,圆心为,半径.圆心C到直线的距离为 , 即由于,所以直线与圆相交. 【想一想】 你是否可以找到判断直线与圆的位置关系的其他方法? *例7 过点作圆的切线,试求切线方程. 分析 求切线方程的关键是求出切线的斜率.可以利用原点到切线的距离等于半径的条件来确定. 解 设所求切线的斜率为,则切线方程为 , 即 . 圆的标准方程为 , 所以圆心,半径. 图8-23 圆心到切线的距离为 , 由于圆心到切线的距离与半径相等,所以 , 解得 . 故所求切线方程(如图8-23)为 , 即 或. 说明 例题7中所使用的方法是待定系数法,在利用代数方法研究几何问题中有着广泛的应用. 【想一想】 能否利用“切线垂直于过切点的半径”的几何性质求出切线方程? 说明 强调 引领 讲解 说明 引领 讲解 说明 观察 思考 主动 求解 思考 主动 求解 通过例题进一步领会 注意 观察 学生 是否 理解 知识 点 50
本人所教的两个班级学生普遍存在着数学科基础知识较为薄弱,计算能力较差,综合能力不强,对数学学习有一定的困难。在课堂上的主体作用的体现不是太充分,但是他们能意识到自己的不足,对数学课的学习兴趣高,积极性强。 学生在学习交往上表现为个别化学习,课堂上较为依赖老师的引导。学生的群体性小组交流能力与协同讨论学习的能力不强,对学习资源和知识信息的获取、加工、处理和综合的能力较低。在教学中尽量分析细致,减少跨度较大的环节,对重要的推导过程采用板书方式逐步进行,力求让绝大多数学生接受。 1.理解椭圆标准方程的推导;掌握椭圆的标准方程;会根据条件求椭圆的标准方程,会根据椭圆的标准方程求焦点坐标. 2.通过椭圆图形的研究和标准方程的讨论,使学生掌握椭圆的几何性质,能正确地画出椭圆的图形,并了解椭圆的一些实际应用。 1.让学生经历椭圆标准方程的推导过程,进一步掌握求曲线方程的一般方法,体会数形结合等数学思想;培养学生运用类比、联想等方法提出问题. 2.培养学生运用数形结合的思想,进一步掌握利用方程研究曲线的基本方法,通过与椭圆几何性质的对比来提高学生联想、类比、归纳的能力,解决一些实际问题。 1.通过具体的情境感知研究椭圆标准方程的必要性和实际意义;体会数学的对称美、简洁美,培养学生的审美情趣,形成学习数学知识的积极态度. 2.进一步理解并掌握代数知识在解析几何运算中的作用,提高解方程组和计算能力,通过“数”研究“形”,说明“数”与“形”存在矛盾的统一体中,通过“数”的变化研究“形”的本质。帮助学生建立勇于探索创新的精神和克服困难的信心。
《秋天的雨》是统编版教材三年级语文上册第八单元的一篇精读课文,课文讲述了列宁、灰雀和一个孩子之间的故事。这个故事表达了列宁善解人意,对男孩的敬重、保护以及男孩的老实和天真。通过语言和行动来揭示人物的内心世界,展现事件的开展进程,是本篇课文在表达上的主要特点。在学习时,可以对话为重点,研读课文,通过阅读人物对话,揣摩体会人物不同的心情,感受列宁爱鸟更爱孩子的情感,懂得知错就改是诚实的表现,同时产生保护鸟类等动物的环保意识。 1.会认“宁、胸”等10个生字,会写“郊、养”等13个生字。2.分角色朗读课文,读出对话的语气。3.带着问题,边默读边推敲人物的内心想法,体会列宁对男孩的尊重和呵护、男孩的诚实与天真。4.体会列宁的善解人意、循循善诱和对儿童的爱护,懂得做错事情应该改正的道理,同时教育学生要爱护动物。 1.教学重点:通过朗读对话体会列宁、小男孩心理变化的过程。2.教学难点:能带着问题,边默读边揣摩人物内心的想法。能体会列宁对男孩的尊重与呵护、男孩的诚实与天真。 2课时
1、三年的汗水,终于有了回报。站在领奖台上,她兴奋得不能自己,泪水刷刷地流了下来。误:不能自己 正:不能自已[bù néng zì yǐ] 2、灯光下面,人头攒动。这条街上陈列的,其实大都是膺品,但还是热闹非凡。误:膺品 正:赝品[yàn pǐn]3、待学生从农村基地回来时,校舍已修茸一新,三幢大楼披上了节日的盛装。误:修茸 正:修葺[xiū qì] 4、埋伏在左侧的三连,听到冲锋号响,尤如猛虎下山,直扑敌人阵地。误:尤如猛虎下山 正:犹如猛虎下山[yóu rú] 5、粗制滥造,哄抬市价,这种竭泽而鱼的做法,最后必然会让自己受到惩罚。误:竭泽而鱼 正:竭泽而渔[jié zé ér yú] 6、自从钢琴热掀起后,钢琴教师身价倍增,一批“三脚猫”也混迹其中,滥芋充数。误:滥芋充数 正:滥竽充数[làn yú chōng shù] 7、阳光穿射而入,配着店堂排列得整整齐齐的书架,真是一个书香花香阳光普照的世外桃园。误:世外桃园 正:世外桃源[shì wài táo yuán]8、在调查过程中,陈又将大批赃款转移至岳父处,专案组找他谈话时,他依旧装得若无其事。误:脏款 正:赃款[zāng kuǎn]
1、问题1的设计基于学生已有的一元一次方程的知识,学生独立思考问题,同学会考虑到题中涉及到等量关系,从中抽象出一元一次方程模型;同学可能想不到用方程的方法解决,可以由组长带领进行讨论探究.2、问题2的设计为了引出二元一次方程,但由于同学的知识有限,可能有个别同学会设两个未知数,列出二元一次方程;如果没有生列二元一次方程,教师可引导学生分析题目中有两个未知量,我们可设两个未知数列方程,再次从中抽象出方程模型.根据方程特点让生给方程起名,提高学生学习兴趣.3、定义的归纳,先请同学们观察所列的方程,找出它们的共同点,并用自己的语言描述,组内交流看法;如果学生概括的不完善,请其他同学补充. 交流完善给出定义,教师规范定义.
This report is short, concise and has typical news content and language features. The title uses the verb phrases, embodying the characteristics of being concise and general. The introduction is the first two sentences in the first paragraph, describing the general situation of the cultural heritage protection project, including time, place, characters, events and other news elements, so that readers can see the main points of the news report at a glance. The main body is the second and third paragraphs, which report the important historical and cultural value of Mogao Grottoes and the production of Mogao Grottoes Material digital photos, which are of great significance to the inheritance of historical culture and the promotion of international cultural understanding, exchange and cooperation. Direct citation is used in the report, as well as background introduction and other news writing techniques.1. Get students to have a good understanding of some features about a news report by reading the text.2. Instruct students to write a summary about a news report properly using some newly acquired writing skills in this period.3. Develop students’ writing and cooperating abilities.4. Strengthen students’ great interest in writing discourses.1. Stimulate students to have a good understanding of how to a summary about a news report 2. Cultivate students to write a news report properly and concisely.Step 1: Lead in Do you think it is necessary for us to circulate our cultural heritage to the world? Why or why not?Do we need to learn more about other countries’ cultural heritage? Why or why not?Step 2: Read to discover details concerning the main body of the news report.
(形容词短语most beautiful的构成形式为:副词+形容词,该短语在句中作定语修饰名词bird)④A good friend is someone who makes you really happy.好朋友就是能让你真正高兴的人。(形容词短语really happy的构成形式为:副词+形容词,该短语在句中作宾语补足语)[即学即练]画出下例句中的形容词短语并指明构成形式如:It is less cold today than it was yesterday.构成形式: 副词+形容词(1)Our country is becoming more and more beautiful.(2)The road is long enough.(3)The medicine is good for stomach.三、副词短语(Adverb Phrases)副词短语:指以一个副词为中心构成的短语,在句中的功能相当于副词,可以修饰动词、形容词或副词。常见副词短语的构成形式有:(副词)+副词如: much more beautifully①He did his work here yesterday.他昨天在这里工作。(副词短语here yesterday修饰动词did)②Bill did the work very well.比尔做的这份工作很好。副词短语very well修饰动词did③We are all entirely responsible for our action(副词短语all entirely, 修饰形容词短语responsible for)
【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.【教学目标与核心素养】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.【教学重难点】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.【教学过程】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.
(5)be to do (可以和具体的时间状语连用)①表示按计划、安排即将发生的动作。②用于时间、条件状语从句中,表示“如果要……,想要……”。The students are to meet at the school gate tomorrow. 明天学生们将在学校大门口集会。 If you are to succeed, you must work as hard as possible. 如果你想要成功,比必须努力工作。(6)be about to do (不与具体的时间状语连用) 表示即将要发生的动作。We are about to start. 我们就要出发了。The new school year is about to begin. 新学年开学在即。(7)一般现在时表将来①表示按时间表规定将要发生的动作。常限于表示位置移动的短暂性动词。②在时间、条件或让步状语从句中,用一般现在时表将来。Look at the timetable. Hurry up! Flight 4026 takes off at 18:20. 你看看时刻表,快点!4026次航班的起飞时间是下午6点20分。Jane is in a hurry because the train to the airport leaves in half an hour. 简很匆忙,因为去机场的火车半小时后出发。
无论她说什么都不会对我们的安排有影响。Answers: for, arrangement3) Parents arrange everything for their children and spare no effort to pave the way for their success.父母为孩子安排好一切,不遗余力地为他们的成功铺路。4. extremely adv 极其,非常extreme adj 非常的1) Mary found it extremely difficult to get a job.2) I’m extremely sorry to have troubled you.Answers:玛丽发现找工作极其困难。给你添了麻烦,我十分抱歉。3) It had white-painted tunnels and bright red carriages, and proved _________ (extreme) popular with the public.它有白色的隧道和明亮的红色车厢,结果证明它非常受大众的欢迎。Answers: extremelyExercises1. I am continuing to apply_______ jobs though I have failed several times.2. All this had an _______ (extremely) bad effect on the criminal justice system.3. The invention would have wide ______ (apply) in industry.4. She’s happy with her unusual living _________ (arrange).5. I was banging so loudly that I’m ___________ (amaze) that they didn’t hear me.6. You haven’t changed at all you still look ___________ (exact) the same.7. “Was it what you expected?” “Yes, _________ (definite).”8. He was looking forward to______ (work) with the newPrime Minister. Answers: for extreme application arrangement amazed exactly definitely looking单句写作:1. _______________ (你要说些什么) when you get on the platform to accept the reward?2. Since_____________________(我们为这些事情做好了准备), we have nothing to worry about.
Is there a clear purpose for the trip? :Does each paragraph have a clear main idea? Does the writer use the present continuous tense for future plans?Does the writer use commas, stops, and question marks correctly? Are all the words spelt correctly?Are all the proper nouns capitalized?Revise your draft according to your partner's comments.Step 5:The summary of how to write a travel plan.旅游计划是一种常见的应用文写作。旅游可分为观光游、文化游、美食游及探险游等不同类型,因此旅游计划也要根据不同的旅游目的进行设计。常规的旅游计划需要明确以下几个方面的问题:Travel planWhen will you leave for? Where is your the destination?How will you get there?What will you do there?How long will you there?Is there a clear purpose for the trip? 为了提升旅行计划的层级,还需注意以下几个方面的问题:1.每段是否有明确清晰的主题;2.用一般现在时代替一般将来时;3.用更高级的形容词词汇。例如:表达“好”时,不要总用“nice”,我们还可以用“smart, clean, excellent, exciting, beautiful, wonderful, clever, famous, grand”等表达更具有指向性的词汇;4.用更高级的动词词汇。比如:我们可以用“seem stand, lie .get stay, remain, look . sound, become . keep, grow”等代替"be";
①标题——标题应当简洁明了。②导语——导语是消息开头的第一段或第一句话,简明扼要地揭示出消息的核心内容。③主体——主体是消息的主要部分,要用充足的事实表现主题,对导语的内容作进一步的展开和阐述。④结束语——通常是对全文内容进行概括性的总结。3. 新闻报道增分句子(1)陈述事实常用的句型: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.地震发生在一个凉爽的秋夜。大量的建筑物倒塌,道路被毁,许多人无家可归。③With the help of the rescue team, people who were the trapped in the flood were saved.在救援队的帮助下,困在洪水中的人们得救了。(2)陈述观点常用的句型:①Clearly/Obviously/In my opinion/It seemed that people were shocked.显然/在我看来/似乎人们震惊了。②The whole city was in ruins after the earthquake.地震后整个城市成了一片废墟。(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.
【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.【教学目标与核心素养】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.【教学重难点】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.【教学过程】Step1: 语法知识呈现定语从句(一)—关系代词的用法在复合句中, 修饰名词或代词的从句叫定语从句。定语从句通常由关系代词或关系副词引导,说明事物的具体信息,从句位于被修饰词之后。被定语从句修饰的词叫先行词,引导定语从句的词叫关系词,关系词指代先行词,并在定语从句中充当成分。关系词有两种:关系代词who, whom ,whose, that, which, as和关系副词when, where, why。
【教材分析】高考听力材料的选用非常重视语言真实性和交际性的原则,语言材料一般来源于实际生活,对话的内容大都取材于日常生活,即衣、食、住、行、工作、学习、天气、生活环境等话题,可分为校园、公共场所、家庭等方面,如: shopping, finding the way, doing one’s homework, seeing a doctor, making a phone call, weather report, asking for different kinds of information等。新教材的特点就是利用生活中真实文本,只是降低难度,让学生注重语言的应用,将是我们高考把握方向的重要因素。【教学目标与核心素养】学习能力目标:在听力当中,学生应该有效规划学习方法,选择恰当的策略与方法。这节课的训练目标是让学生有正确的预测和抓住问题的关键信息,从而用心去听来找寻关键信息。根据生活中实际情况和高考常见语境,我们不难发现提前预测和抓住题干中的w很重要,即what, where, when, why等等。
常跟双宾语的动词有:(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+谓+宾+宾补)特点:动词虽然是及物动词,但是只跟一个宾语还不能表达完整的意思,必须加上一个补充成分来补足宾语,才能使意思完整。 判断原则:能表达成—宾语 是…/做…注:此结构由“主语+及物的谓语动词+宾语+宾语补足语”构成。宾语与宾语补足语之间有逻辑上的主谓关系或主表关系,若无宾语补足语,则句意不够完整。可以用做宾补的有:名词,形容词,副词,介词短语,动词不定式,分词等。如:He considers himself an expert on the subject.他认为自己是这门学科的专家。We must keep our classroom clean.我们必须保持教室清洁。I had my bike stolen.我的自行车被偷了。We invited him to come to our school.我们邀请他来我们学校。I beg you to keep secret what we talked here.我求你对这里所谈的话保密。用it做形式宾语,而将真正的宾语放到宾语补足语的后面,以使句子结构平衡,是英语常用的句型结构方式。即:主语+谓语+it+宾补+真正宾语。如:We think it a good idea to go climb the mountain this Sunday.
教学目标知识目标:让学生更好理解如何恰当地写一个人的信息介绍,并能让学生熟练地使用一些写作技能。能力目标:培养学生的写作能力和团队协作能力。情感目标:提升学生对写作的兴趣。教学重难点 教学重点:如何能让学生更好地理解个人信息介绍。教学难点:如何能让学生通过适当地使用一些写作技能来写一篇较好的个人信息介绍。教学准备 多媒体、黑板、粉笔一、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?
This teaching period mainly deals with grammar “restrictive relative clauses.” To begin with, teachers should lead students to revise what they have learned about the relative pronouns and relative adverbs. And then, teachers move on to stress more special cases concerning this grammar, such as the “preposition+ relative pronouns which and whom” and cases where we can omit the relative pronouns. 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 exercises. 1. Guide students to review the basic usages of relative pronouns and adverbs of attributive clauses.2. Lead students to learn to use some special cases concerning restrictive relative clauses flexibly.2. Enable students to use the basic phrases structures flexibly.3. Strengthen students’ great interest in grammar learning.1. Help students to appreciate the function of relative pronouns and adverbs of attributive clauses in a sentence2. Instruct students to write essays using the proper relative pronouns and adverbs of attributive clauses.本节语法思考:定语从句在复合句中的作用是什么? 关系词有哪些?定语从句在复合句中的作用相当于形容词,它在句中作定语修饰名词或代词。他们在先行词和定语从句之间起到联系作用,同时在意义上代表先行词并在定语从句中担任一个成分。被定语从句所修饰的词称先行词,定语从句一般放在先行词的后面。
Listening and Speaking introduces the topic of “Take part in a youth project”. The listening text is an interview about an international youth cultural heritage protection project. More than 20 high school students from seven countries participated in the project. The reporter interviewed two participants Stephanie and Liu Bin. By listening to the text, students can understand the significance of cultural heritage protection, and teenagers can use their knowledge, combine their own interests and advantages, etc. to participate in the action of cultural heritage protection. Listening and Talking introduces the theme of "Talk about history and culture". The listening text is a dialogue between two tourists and tour guides when they visit the Kremlin, red square and surrounding buildings. The dialogue focuses on the functional items of "starting a conversation", which is used to politely and appropriately attract the attention of the others, so as to smoothly start a conversation or start a new topic. The purpose of this section is to guide students to understand the history and current situation of Chinese and foreign cultural heritage in their own tourism experiences or from other people's tourism experiences, explore the historical and cultural values, and be able to express accurately and appropriately in oral communication.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 participate in cultural heritage protection activities.3. Instruct students to use functional sentences of the dialogue such as “I beg your pardon, but…” “Forgive me for asking, but…" and so on to start the conversation more politely and appropriately.
The activity topic of this section is "report an ongoing event", and the structure is the passive voice of present continuous tense. Rare wild animals are suffering from large-scale poaching, and species are on the brink of danger. Rescue operations are underway. "Being" and "suffering" are the meanings of the present progressive passive voice.The usage of present progressive passive voice is of great importance in writing a good discourse and appreciating some difficult language items, so it is vital to master it and use it flexibly in a context.1. Motivate Ss to deepen the understanding of the usage of present progressive passive voice in a fixed context.2. Enable Ss to master the usage of present progressive passive voice and use it flexibly in a context.3. Lead Ss to construct sentences or appreciate sentences used master it and use it flexibly in a context.1. Help students to appreciate the function of the usage of present progressive passive voice in a sentence2. Instruct students to write essays using the proper usage of present progressive passive voice.Look at the picture and tell me what are workers doing? What is the house being done?