《函数的单调性与最大(小)值}》系人教A版高中数学必修第一册第三章第二节的内容,本节包括函数的单调性的定义与判断及其证明、函数最大(小)值的求法。在初中学习函数时,借助图像的直观性研究了一些函数的增减性,这节内容是初中有关内容的深化、延伸和提高函数的单调性是函数众多性质中的重要性质之一,函数的单调性一节中的知识是前一节内容函数的概念和图像知识的延续,它和后面的函数奇偶性,合称为函数的简单性质,是今后研究指数函数、对数函数、幂函数及其他函数单调性的理论基础;在解决函数值域、定义域、不等式、比较两数大小等具体问需用到函数的单调性;同时在这一节中利用函数图象来研究函数性质的救开结合思想将贯穿于我们整个高中数学教学。
二、学情分析 在校领导的正确领导下,本学期我校生源比去年有了重大的变化.高一年级招收了400多名新生,学校带来了新的希望.然而,我清醒地认识到任重而道远的现实是,我校实验班分数线仅为140分,普通班入学成绩仍居附近各中学之末.要实现我校教学质量的根本性进步,非一朝一夕之功.实验班的教学当然是重中之重,而普通班又绝不能一弃了之.现在的学情与现实决定了并不是付出十分努力就一定有十分收获.但教师的责任与职业道德时刻提醒我,没有付出一定是没有收获的.作为新时代的教师,只有付出百倍的努力,苦干加巧干,才能对得起良心,对得起人民群众的期望.
一、教材分析人教版高中思想政治必修4生活与哲学第一单元第三课第二框题《哲学史上的伟大变革》。本框主要内容有马克思主义哲学的产生和它的基本特征、马克思主义的中国化的三大理论成果。学习本框内容对学生来讲,将有助于他们正确认识马克思主义,运用马克思主义中国化的理论成果,分析解决遇到的社会问题。具有很强的现实指导意义。二、学情分析高二学生已经具备了一定的历史知识,思维能力有一定提高,思想活跃,处于世界观、人生观形成时期,对一些社会现象能主动思考,但尚需正确加以引导,激发学生学习马克思主义哲学的兴趣。三、教学目标1.马克思主义哲学产生的阶级基础、自然科学基础和理论来源,马克思主义哲学的基本特征。2.通过对马克思主义哲学的产生和基本特征的学习,培养学生鉴别理论是非的能力,进而运用马克思主义哲学的基本观点分析和解决生活实践中的问题。3.实践的观点是马克思主义哲学的首要和基本的观点,培养学生在实践中分析问题和解决问题的能力,进而培养学生在实践活动中的科学探索精神和革命批判精神。
This lesson aims at making a poster about protecting wildlife after reading some posters. During reading students are guided to understand the content and try to summarize the posters with one sentence. Then students are guided to try to make a poster about protecting wildlife.1. Read the two posters and try to understand the summary sentences.2. Look at the two posters and try to understand what emotions they express.3. Try to summarize the features of posters4. Try to make a poster about wildlife.1. Look at the two posters and try to understand what emotions they express.2. Try to summarize the features of posters3. Try to make a poster about wildlife.Step 1 Lead inLook at the the posters on the textbook and ask:Which emotions do the posters communicate ?Step 2 Read the poster and answer the questions.1. What do you think of the animals in the poster on the left ?I think it is frightening and ugly.2. Why do we should protect the ugly animals ?All species--the good, the bad, and the ugly-- should be treated equally.The world needs all kinds--without variety, our planet cannot survive.3. Why are billions of trees being cut down every year ?To make paper for humans.4. What result will be lead to after the trees are cut down ?A lost of animal homes are being destroyed./The habitat of wildlife is being destroyed.Step 3 Find the feature of posters1. What does each poster use to stir up emotions ?On the left, it makes us a little frightened and it looks a little ugly, but it can activate our curiosity--What is it? And What is wrong with it?On the right, it makes us feel a little sad and want to protect them.
2.表示现阶段正在进行的被动动作(该动作在说话的瞬间未必正在进行)。Many interesting experiments are being carried out these days.(说话时,并不一定正在进行)3.表示一种经常性的被动行为,常和always,constantly 等表示频度的副词连用,这种用法常常带有赞扬或厌恶的感情色彩。He is always being praised by the leader.4.表示按计划或安排主语将要承受谓语动词所表示的动作(仅限于少数及物动词)。A party is being held tonight.Step 4 Special cases1.像take care of, look after, talk about, think of等动词与介词构成的短语用于现在进行时的被动语态时, 其中的介词不可省略。The ways to stop illegally hunting are being talked about. 2.可与部分情态动词连用,表示对正在发生的事情的推测。She may be being punished by her mother.3.有时可表示按计划或安排将要进行的一个被动动作。A celebration is being held this weekend for his success.4.某些表示“状态、心理活动、存在”等的动词,如have,want,need,love,一般不用现在进行时的被动语态,而常用一般现在时的被动语态。With the population increasing,more land is needed.5.“be+under/in+n.”可表示现在进行时的被动意义。My computer is under repair.=My computer is being repaired.
This lesson is about wildlife protection. The listening and speaking is about “How to protect endangered wildlife ?” Faced with the facts and numbers of wildlife loss, people begin to detect the reasons, then people such as the celebrities (Prince William and Yao Ming) are calling on to protect them. So students are guided to enhance the awareness of protecting wildlife and try to take part in some volunteer activities of protecting wildlife.1. Predict the content by using visuals. 2. Learn to use the sentences such as “I’m concerned about.... But now they are in danger. I want to know the reasons/why./ What can we do to protect them ?3. Learn from the stars like Prince William and Yao Ming and enhance the awareness of protecting wildlife.4. Guide students to try to put forward the solutions to the problems of wildlife protection and then discuss them with partners and present the results of discussion.5. Master the pronunciation of stressed syllables.1. Learn from the stars like Prince William and Yao Ming and enhance the awareness of protecting wildlife.2. Guide students to try to put forward the solutions to the problems of wildlife protection and then discuss them with partners and present the results of discussion.3. Learn to use the sentences such as “I’m concerned about.... But now they are in danger. I want to know the reasons/why./ What can we do to protect them ?4. Master the pronunciation of stressed syllables.Part A Listening and Speaking--- How to save endangered wildlifeStep 1 Lead in1. Point at the pictures on P14 and ask Q1: What message do these posters share?
Listening and Speaking introduces the topic of “how to save endangered wildlife and help wildlife in their neighborhood.” Due to the continuous deterioration of the living environment, a large number of wild animals are always facing the threat of endangered or extinction. Listening and speaking period enables students to understand the fact and reason why wild species are disappearing from the earth at an amazing speed, and realize that human beings ought to enhance the awareness of protecting wild species as soon as possible.Listening and Talking introduces the theme of " how to help wildlife in Ss’ neighborhood.". Now there are many volunteers who spontaneously protect wild animals, carry out various activities according to local conditions, and contribute their own strength to local animal protection with practical actions. Middle school students are also enthusiastic participants. They organize activities in their spare time, and take this opportunity to make friends, broaden their horizons, cultivate team spirit and communication skills. This section describes a bird watching activity organized by several middle school students of Bird watching Club. It aims to stimulate students' interest, improve their understanding of bird watching activities, and use the language structure of “being used for; in order to, so as to, to, so that, in order that ” to express the purpose for communication and discussion.1. Guide students to understand the content of listening texts in terms of using visuals to predict content.2. Cultivate students' ability to guess the meaning of words in listening; discuss with their peers how to save endangered wildlife and help wildlife in their neighborhood.3. Instruct students to use functional sentences of the dialogue such as “I am concerned about…” “what do you know about the endangered animals in…" and so on to talk about one of the endangered animals.
The theme of this unit is human and nature, focusing on the theme of wildlife protection. Nature is a complex ecosystem, in which there are delicate balance between animals and plants. Because of the role of the food chain, the extinction of one species will produce influence, causing a series of chain reaction. Large scale extinction of species will have a serious and even irreversible impact on the ecosystem, resulting in immeasurable losses. Therefore, it is of great significance to protect wild species. To protect wild species is to protect human beings themselves. The motto of this unit is "when the buying stops, the killing can too,” which is a public service advertising slogan to protect wildlife. It tells people that every rhinoceros horn, every fur, every bowl of shark fin soup, every Ivory product, and every tiger bone product, etc. consumed by human beings, are innocent wild animals slaughtered behind them. The mission of wild aid is to ban illegal trade in endangered wildlife and mitigate climate change. It aims to educate the public to reduce the consumption demand for endangered wildlife products through public publicity and improve the awareness of environmental protection.1. Improve the awareness of wildlife protection by acquiring the knowledge of wildlife protection.2. Focus on environmental protection and protection of all lives.3. Analysis of the living environment of wild animals with appropriate thinking mode.4. Skillfully use the vocabulary and grammar knowledge of this unit to cultivate self-study ability according to the unit content5. Develop cooperative learning ability through discussion and other ways1. Enable the Ss to talk about the current situation of wild animals.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.
【点津】 1.不定式的复合结构作目的状语 ,当不定式或不定式短语有自己的执行者时,要用不定式的复合结构?即在不定式或不定式短语之前加 for +名词或宾格代词?作状语。He opened the door for the children to come in. 他开门让孩子们进来。目的状语从句与不定式的转换 英语中的目的状语从句,还可以变为不定式或不定式短语作状语,从而使句子在结构上得以简化。可分为两种情况: 1?当目的状语从句中的主语与主句中的主语相同时,可以直接简化为不定式或不定式短语作状语。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?当目的状语从句中的主语与主句中的主语不相同时,要用动词不定式的复合结构作状语。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.
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.
1. This section focuses on "Understanding how a problem was solved”, which is aimed to guide students to analyze and discuss the challenges and problems faced by cultural heritage protection during the construction of Aswan Dam, as well as the solutions. On the basis of understanding, students should pay attention to the key role of international cooperation in solving problems, and attach importance to the balance and coordination between cultural heritage protection and social and economic development. Students are encouraged to face challenges actively, be good at cooperation, and make continuous efforts to find reasonable ways and means to solve problems.2. Enable students to understand the main information and text structure of the reading text;3. Motivate students to use the reading strategy "make a timeline" according to the appropriate text genre;4. Enable students to understand how a problem was solved;5. Enable students to understand the value of protecting cultural heritage by teamwork and global community;1. Guide students to pay attention to reading strategies, such as prediction, self-questioning and scanning.2. Help students sort out the topic language about protecting cultural relics and understand the narrative characteristics of "time-event" in illustrative style3. Lead students to understand the value of protecting cultural heritage by teamwork and global community;
Step 1 Lead inThere are many interest of places in the UK. What do you know ?The Big Ben the London Tower the Thames RiverStep 2 Before reading---analyze the titleBeautiful Ireland and its traditionWe know that the article mainly tells about the beauty and traditions of Ireland. Step 3 While reading---Task 1Read the text and answer the following questions.Q1: What makes the Irish countryside exciting and inspiring?Its beauty and how it offers something for all the scenes.Q2: What are the best ways to experience some Irish traditions and cultures?By stopping by a village pub and relaxing with a drink and traditional meal while listening to music and watching dancingQ3: What is the meaning of “breathe in the sweet scent of fresh flowers while birds greet the new day with their morning song ?”It means to not just smell but also breathe in the smell of fresh flowers early in the morning as the birds sing their first song of the new day.Q4: What are the best ways to experience Chinese traditions and customs ?By travelling to different places and using all your senses to experience everything and by interacting with local people.Step 4 While reading---Task 2Analyze the descriptive paragraph1. Identify and underline the paragraph’s introductory sentence and the ending sentence.Introductory sentence: Ireland’s beautiful countryside has always had a great influence on its people and traditions.Ending sentence: And if you introduce yourself to a friendly face, you are more than likely to experience local culture and customs first-hand.2. The paragraph talks about different senses in different places. Write the senses and places in the order that they appear.
这个地区有着深厚的传统。既学既练:为了让更多的外国游客了解中国文化,欣赏中国美丽的自然风光,感受中国发生的巨大变化,某外文杂志社将出版一本英语小册子来介绍中国的旅游景点。该杂志社邀请你为该小册子写一篇英语短文来介绍杭州,内容包括:1.杭州的位置(中国东南部)、面积(16 000多平方公里)及历史(2 200多年)等;2.杭州的旅游特色(自然风景、传统文化、特色小吃等);3.希望更多的游客来杭州参观。注意:1.词数80左右;2.可适当增加细节,以使行文连贯。Located in the southeast of China, Hangzhou is a beautiful city.Dating back more than 2,200 years, Hangzhou covers an area of more than 16,000 square kilometers.In Hangzhou, you can visit the West Lake, whose scenery is fascinating.In addition, you can’t miss its cultural relics and historical sites, from which you will learn more about excellent Chinese traditional culture and traditions.In Hangzhou, the special snacks are famous and visitors from different parts of the world think highly of them.As a tourist attraction, Hangzhou attracts a large number of visitors from home and abroad every year.Once you come to China, Hangzhou is a scenic spot you can’t miss.
(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.
Good expressions that students can choose to use: help the travelers choose which tour to take1. In my opinion, you could/might choose…, because you prefer to…2. …could be a perfect choice for you, for…3. As far as I am concerned, you would enjoy…, for…4. …would probably suit you, because you enjoy/love/hate doing…Step 5 Passage ConsolidationLanguage appreciation:1. You can then spend three days exploring the rainforest with a local guide and enjoying the plants and animals unique to the rainforest. 在接下来的三天里,您可以在当地导游的陪同下,深入雨林进行探索,欣赏雨林特有的动植物。本句主体结构为spend some time doing sth. 2. Inca builders cut stones to exact sizes so that nothing was needed to hold walls together other than the perfect fit of the stones. 印加的建筑工人将石头切割成精确的尺寸,仅仅凭着石头间的完美契合,即可稳固墙体。本句为so that引导的结果状语从句。nothing与the perfect fit为并列成分; other than在句中意为“除了”。Step 6 HomeworkSuppose you will travel to Peru, write a short essay about your three-day tour plan.
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";
This theme of the part is “ Describe people or things in greater detail”. Students have learned the grammar(restrictive relative clauses) in Book 1, and further review and consolidate its structure “prep+relative pronouns(which/whom)” and the relative adverbs(when, where and why), besides students should understand its form, meaning and functions. In this section, students should be able to express the grammar correctly in daily communication and in the writing. 1. Review the basic usages of relative pronouns and adverbs of attributive clauses . 2. Learn to use some special cases about restrictive relative clauses.3. Learn to write sentences with restrictive relative clauses flexibly according to the context.1. Review the basic usages of relative pronouns and adverbs of attributive clauses .2. Learn to use some special cases about restrictive relative clauses.3. Learn tow rite sentences with restrictive relative clauses flexibly according to the context.Step 1. Observe the following sentences, and mark the relative pronouns and the adverbs. 1. After listening to the scientists who had studied the problems, and citizens who lived near the dam, the government turned to the United Nations for help.2. Temples and other cultural sites were taken down piece by piece, and then moved and put back together again in a place where they were safe from the water.Step 2 PracticePlease complete these sentences with relative pronouns and relative adverbs and answer the following questions.Questions: 1. What is the head noun ?2. What relative words should be used ?3. What elements do they act in these sentences ?
This teaching period mainly deals with grammar: The past participle is used as attributive and objective complement.1. Guide students to review the basic usages of the past participle used as attributive and objective complement.2. Lead students to learn to use some special cases concerning the past participle used as attributive and objective complement flexibly.3. Strengthen students’ great interest in grammar learning.1. Help students to appreciate the function of the past participle used as attributive and objective complement.2. Instruct students to write essays using the past participle used as attributive and objective complement.Step1:温故而知新。Analyze the underlined phrases and then sum up the common usages of the past participles.1.(教材P41)They had castles built(build) all around England, and made changes to the legal system.2.(教材P42)They use the same flag, known(know) as the Union Jack,...3.(教材P42)Judy and I had our car parked(park) in an underground car park near Trafalgar Square, where we could get our car battery charged(charge).Common points: f the past participle used as attributive and objective complement.Step 2:过去分词作定语时的意义1.及物动词的过去分词作定语,在语态上表示被动;在时间上,常表示动作已经发生或完成,有时也不表示时间性。Our teacher watched us doing the experiment and gave us a satisfied smile at last.我们的老师看着我们做实验,最后给了我们一个满意的微笑。The plan put forward at the meeting will be carried out soon.会上提出的计划将很快被执行。2.不及物动词的过去分词作定语,它不表示被动意义,只强调动作完成。Many little kids like gathering fallen leaves in the yard.
Step 5 While reading---Task 3Read the text again and answer the following questions.Q1: How many countries does the UK consist of ?4 Q2: What are the four countries of the United Kingdom?England, Wales, Scotland and Northern Ireland Q3: Which two were the first to be joined together ?England and WalesQ4: What are the two chief advantages of studying the history of a country ?The first one is to help you understand more about the country and its traditions.The second one is to make visiting it more enjoyable.Q5: What’s the author’s attitude towards studying the history ?Supportive/positiveStep 6 Post reading---Retell the textThe United Kingdom, Great Britain, Britain, England—many people are confused by (1)_____ these different names mean. In the 16th century, the nearby country of Wales (2) __________(join) to the Kingdom of England. In the 19 th century, the Kingdom of Ireland was added to create the United Kingdom of Great Britain and Ireland. Finally, the southern part of Ireland (3) ______ (break) away from the UK, which resulted in the full name we have today. However, most people just use the (4)_________(shorten) name: the UK. The four countries (5)__________ belong to the United Kingdom work together in some areas. There were four sets of invaders and the last group were the Normans. They had castles (6)_________(build) all around England and made changes (7)__________ the legal system. Studying the history of the country will make your visit much more (8)_________(enjoy). The capital city London is (9)___ ancient port city that has a history (10)______(date) back to Roman times. 1. what 2.was joined 3.broke 4.shortened 5.that 6. built 7.to 8.enjoyable 9.an 10.dating Step 6 Homework