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新人教版高中英語(yǔ)選修2Unit 3 Learning about Language教學(xué)設(shè)計(jì)
1. We'll need ten months at least to have the restaurant decorated.2.Some traditional Chinese dishes from before the Ming Dynasty are still popular today.3.My grandpa's breakfast mainly includes whole grain biscuits and a glass of milk.4.People in this area would eat nearly a kilo of cheese per week.5. We enjoyed a special dinner in a fancy restaurant where the waiters all wore attractive suits.6. He prefers this brand of coffee which, as he said, has an unusually good flavor.Key:1. at a minimum 2. prior to3. consist of4. consume5. elegant6. exceptionalStep 5：Familiarize yourself with some food idioms by matching the meaning on the right with the colored words on the left.1.Public concern for the health of farm animals has mushroomed in the UK2.Anderson may be young but he's certainly rolling to doing dough!3.George is a popular lecturer. He often peppers his speech with jokes.4.As the person to bring home the bacon, he needs to find a stable job.5 He is often regarded as a ham actor for his over emphasized facial expressions. The media reported that these companies had treated pollution as a hot potato. 6.The media reported that these companies had treated pollution as a hot potato.7.Don't worry about the test tomorrow. It's going to be a piece of cake!8. It's best to fold the swimming ring when it is as flat as a pancake.A. completely flatB. something that is very easy to do C.an issue that is hard to deal withD.to include large numbers of somethingE.to earn on e's living to support a familyF. wealthyG.to rapidly increase in numberH. an actor who performs badly, especially by over emphasizing emotions
新人教版高中英語(yǔ)選修2Unit 3 Reading for writing教學(xué)設(shè)計(jì)
The theme of this part is to write an article about healthy diet. Through reading and writing activities, students can accumulate knowledge about healthy diet, deepen their understanding of the theme of healthy diet, and reflect on their own eating habits. This text describes the basic principles of healthy diet. The author uses data analysis, definition, comparison, examples and other methods. It also provides a demonstration of the use of conjunctions, which provides important information reference for students to complete the next collaborative task, writing skills, vivid language materials and expressions.1. Teach Ss to learn and skillfully use the new words learned from the text.2. Develop students’ ability to understand, extract and summarize information.3. Guide students to understand the theme of healthy diet and reflect on their own eating habits.4. To guide students to analyze and understand the reading discourse from the aspects of theme content, writing structure, language expression, etc., 5. Enable Ss to write in combination with relevant topics and opinions, and to talk about their eating habits.1. Guide students to analyze and understand the reading discourse from the aspects of theme content, writing structure, language expression, etc.2. Enable them to write in combination with relevant topics and opinions, and to talk about their eating habits.3. Guide the students to use the cohesive words correctly, strengthen the textual cohesion, and make the expression fluent and the thinking clear.Step1: Warming upbrainstorm some healthy eating habits.1.Eat slowly.2.Don’t eat too much fat or sugar.3.Eat healthy food.4.Have a balanced diet.Step2: Read the passage and then sum up the main idea of each paragraph.
新人教版高中英語(yǔ)選修2Unit 3 Using langauge-Listening教學(xué)設(shè)計(jì)
1． How is Hunan cuisine somewhat different from Sichuan cuisine?The heat in Sichuan cuisine comes from chilies and Sichuan peppercorns. Human cuisine is often hotter and the heat comes from just chilies.2.What are the reasons why Hunan people like spicy food?Because they are a bold people. But many Chinese people think that hot food helps them overcome the effects of rainy or wet weather.3.Why do so many people love steamed fish head covered with chilies?People love it because the meat is quite tender and there are very few small bones.4.Why does Tingting recommend bridge tofu instead of dry pot duck with golden buns?Because bridge tofu has a lighter taste.5 .Why is red braised pork the most famous dish?Because Chairman Mao was from Hunan, and this was his favorite food.Step 5: Instruct students to make a short presentation to the class about your choice. Use the example and useful phrases below to help them.? In groups of three, discuss what types of restaurant you would like to take a foreign visitor to, and why. Then take turns role-playing taking your foreign guest to the restaurant you have chosen. One of you should act as the foreign guest, one as the Chinese host, and one as the waiter or waitress. You may start like this:? EXAMPLE? A: I really love spicy food, so what dish would you recommend?? B: I suggest Mapo tofu.? A: Really ? what's that?
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)為自己是這門學(xué)科的專家。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 4 Natural Disasters-Discovering Useful Structures教案
【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.【教學(xué)目標(biāo)與核心素養(yǎng)】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.【教學(xué)重難點(diǎn)】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.【教學(xué)過(guò)程】Step1: 語(yǔ)法知識(shí)呈現(xiàn)定語(yǔ)從句（一）—關(guān)系代詞的用法在復(fù)合句中, 修飾名詞或代詞的從句叫定語(yǔ)從句。定語(yǔ)從句通常由關(guān)系代詞或關(guān)系副詞引導(dǎo)，說(shuō)明事物的具體信息，從句位于被修飾詞之后。被定語(yǔ)從句修飾的詞叫先行詞，引導(dǎo)定語(yǔ)從句的詞叫關(guān)系詞，關(guān)系詞指代先行詞，并在定語(yǔ)從句中充當(dāng)成分。關(guān)系詞有兩種：關(guān)系代詞who, whom ,whose, that, which, as和關(guān)系副詞when, where, why。
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)選修2Unit 2 Learning about Language教學(xué)設(shè)計(jì)
The activity theme of this section is to design various activities around the key words in the first text. Therefore, the activities require students to pay attention to the spelling of words. On the other hand, let students grasp the meaning of words more accurately through sentences and short texts. This kind of teaching design also helps to improve the ability of using English thinking.1. Cultivating students' ability to use word formation to induce and memorize vocabulary, and the ability to use lexical chunks to express meaning.2. Guide the students to think independently and use the correct form of words to complete sentences3. Cultivate students' habit of using lexical chunks to express language completely, guide students to draw words in sentences quickly, pay attention to word collocation, so as to accumulate more authentic expressions4. Instruct students to create sentences with the chunks.1. Enable students to use the language points in the real situation or specific contexts flexibly and appropriately.2. Guiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Think of a word that best fits each definition.1. to remember sth2.to accept, admit, or recognize sth or the truth/existence of sth3. the process of changing sth or yourself to suit a new situation4 .to make sb feel less worried or unhappy5. a strong desire to achieve sth
新人教版高中英語(yǔ)選修2Unit 2 Reading and thinking教學(xué)設(shè)計(jì)
Her tutor told her to acknowledge __________ other people had said if she cited their ideas, and advised her _______（read） lots of information in order to form __________wise opinion of her own.Now halfway __________ her exchange year, Xie Lei felt much more at home in the UK. She said __________ (engage) in British culture had helped and that she had been__________ (involve) in social activities. She also said while learning about business, she was acting as a cultural messenger __________（build） a bridge between the two countries. keys:Xie Lei, a 19yearold Chinese student, said goodbye to her family and friends in China and boarded (board) a plane for London six months ago in order to get a business qualification. She was ambitious(ambition) to set up a business after graduation. It was the first time that she had left (leave) home.At first, Xie Lei had to adapt to life in a different country. She chose to live with a host family, who can help with her adaptation (adapt) to the new culture. When she missed home, she felt comforted (comfort) to have a second family. Also Xie Lei had to satisfy academic requirements. Her tutor told her to acknowledge what other people had said if she cited their ideas, and advised her to read lots of information in order to form a wise opinion of her own.Now halfway through her exchange year, Xie Lei felt much more at home in the UK. She said engaging (engage) in British culture had helped and that she had been involved (involve) in social activities. She also said while learning about business, she was acting as a cultural messenger building a bridge between the two countries.
新人教版高中英語(yǔ)選修2Unit 2 Reading for writing教學(xué)設(shè)計(jì)
The theme of this section is to express people's views on studying abroad. With the continuous development of Chinese economic construction, especially the general improvement of people's living standards, the number of Chinese students studying abroad at their own expense is on the rise. Many students and parents turn their attention to the world and regard studying abroad as an effective way to improve their quality, broaden their horizons and master the world's advanced scientific knowledge, which is very important for the fever of going abroad. Studying abroad is also an important decision made by a family for their children. Therefore, it is of great social significance to discuss this issue. The theme of this section is the column discussion in the newspaper: the advantages and disadvantages of studying abroad. The discourse is about two parents' contribution letters on this issue. They respectively express their own positions. One thinks that the disadvantages outweigh the advantages, and the other thinks that the advantages outweigh the disadvantages. The two parents' arguments are well founded and logical. It is worth noting that the two authors do not express their views on studying abroad from an individual point of view, but from a national or even global point of view. These two articles have the characteristics of both letters and argumentative essays1.Guide the students to read these two articles, and understand the author's point of view and argument ideas2.Help the students to summarize the structure and writing methods of argumentative writing, and guides students to correctly understand the advantages and disadvantages of studying abroad3.Cultivate students' ability to analyze problems objectively, comprehensively and deeply
新人教版高中英語(yǔ)選修2Unit 4 Learning about Language教學(xué)設(shè)計(jì)
This section guides students to pay attention to the typical context of vocabulary use, helps students accumulate vocabulary around the key vocabulary of this unit, and uses the learned words and word chunks in different contexts to deeply understand their meaning and usage, so as to achieve the purpose of review and consolidation.The teaching design activities aim to guide students to pay attention to the typical context in which the target vocabulary is used, as well as the common vocabulary used in collocation, so that students can complete the sentence with correct words. In terms of vocabulary learning strategies, this unit focuses on cultivating students' ability to pay attention to collocation of words and to use word blocks to express meaning.For vocabulary learning, it is not enough just to know the meaning of a single word, but the most important thing is to master the common collocations of words, namely word blocks.Teachers should timely guide students to summarize common vocabulary collocation, such as verb and noun collocation, verb and preposition collocation, preposition and noun collocation, and so on.1. Guide students to understand and consolidate the meaning and usage of the vocabulary in the context, 2. Guide the students to use the unit topic vocabulary in a richer context3. Let the students sort out and accumulate the accumulated vocabulary, establishes the semantic connection between the vocabulary,4. Enable students to understand and master the vocabulary more effectivelyGuiding the Ss to use unit topic words and the sentence patterns in a richer context.
新人教版高中英語(yǔ)選修2Unit 4 Reading for writing教學(xué)設(shè)計(jì)
假定你是英國(guó)的Jack，打算來(lái)中國(guó)旅行，請(qǐng)你給你的中國(guó)筆友李華寫一封信，要點(diǎn)如下：1．你的旅行計(jì)劃：北京→泰山→杭州；2．征求建議并詢問(wèn)他是否愿意充當(dāng)你的導(dǎo)游。注意：1.詞數(shù)80左右(開(kāi)頭和結(jié)尾已給出，不計(jì)入總詞數(shù))；2．可以適當(dāng)增加細(xì)節(jié)，以使行文連貫。參考詞匯：故宮 the Forbidden City；泰山 Mount TaiDear Li Hua，I'm glad to tell you that 'm going to visit China.First，I am planning to visit Beijing，the capitalof China，where I am looking forward to enjoying the Great Wall，the Forbidden City and somebeautiful parks.Then I intend to go to visit Mount Tai in Shandong Province.I've heard that it is one ofthe most famous mountains in China and I can't wait to enjoy the amazing sunrise there.After that，I amalso going to Hangzhou.It is said that it is a beautiful modern city with breathtaking natural sights，among which the West Lake is a well- known tourist attraction.What do you think of my travel plan? Will you act as my guide? Hope to hear from you soon.
新人教版高中英語(yǔ)選修2Unit 4 Using langauge-Listening教學(xué)設(shè)計(jì)
The theme of the listening section is " talking about scenery and culture along a journey."The part is designed to further lead the students to understand Canadian natural geography and social environment, and integrated into the cultural contrast by mentioning the long train journey from Beijing to Moscow routes. On this basis, the part activates students related travel experience, lets the student serial dialogue, guides the student to explore further the pleasure and meaning of the long journey, and Chinese and foreign cultural comparison.The part also provides a framework for the continuation of the dialogue, which is designed to provide a framework for students to successfully complete their oral expressions, and to incorporate an important trading strategy to end the dialogue naturally.1. Help students to understand and master some common English idioms in the context, and experience the expression effect of English idioms.2. Guide the students to understand the identity of different people in the listening context, and finish the dialogue according to their own experience.3. Instruct the students to use appropriate language to express surprise and curiosity about space and place in the dialogue, and master the oral strategy of ending the dialogue naturally.1. Instruct students to grasp the key information and important details of the dialogue.2. Instruct students to conduct a similar talk on the relevant topic.
新人教版高中英語(yǔ)選修2Unit 4 Reading and thinking教學(xué)設(shè)計(jì)
【詞匯精講】highlight n.最好或最精彩的部分 vt.突出;強(qiáng)調(diào);使醒目One of the highlights of the trip was seeing the Taj Mahal.這次旅行的亮點(diǎn)之一是參觀泰姬陵。Your resume should highlight your skills and achievements.你的簡(jiǎn)歷應(yīng)該突出你的技能和成就。The report highlights the major problems facing society today.報(bào)告強(qiáng)調(diào)了當(dāng)今社會(huì)所面臨的主要問(wèn)題。I’ve highlighted the important passages in yellow.我用黃色標(biāo)出了重要段落。7.Edmonton is freezing cold in winter,with daily temperatures averaging -10 ℃.埃德蒙頓冬季寒冷,日平均氣溫為-10°C?！驹~匯精講】freezing adj.極冷的;冰凍的Leave a basin of water outside in freezing weather.在冰凍的天氣里,放一盆水在室外。It’s freezing cold outside so wear a warm coat.外面超冷的,所以穿一個(gè)暖和一點(diǎn)的外套吧。8.It was not until 9:30 a.m.that they finally reached the capital of Ontario,Toronto.直到上午9時(shí)30分,他們才終于到達(dá)多倫多的首府安大略省?！揪涫狡饰觥勘揪涫且粋€(gè)強(qiáng)調(diào)句,強(qiáng)調(diào)的是句子的時(shí)間狀語(yǔ)until 9:30。含有not...until...的句子的強(qiáng)調(diào)句為It is not until...that...,that后面的句子要用肯定形式。It was not until then that I suddenly realized nobody was happier than I was.直到那時(shí)我才突然意識(shí)到?jīng)]有人比我更幸福了。
新人教版高中英語(yǔ)選修2Unit 2 Using langauge-Listening教學(xué)設(shè)計(jì)
? B: Absolutely! Getting involved with Chinese cultural activities there definitely helped a lot. I got to practice my Chinese on a daily basis, and I could learn how native Chinese speakers spoke.? A: What do you feel is your biggest achievement?? B: Learning Chinese characters! I have learnt about 1,500 so far. When I first started, I didn't think it was even going to be possible to learn so many, but now I find that I can read signs, menus, and even some easy newspaper articles.? A: What are you most keen on?? B: I've really become keen on learning more about the Chinese culture, in particular Chinese calligraphy. As I have learnt Chinese characters, I have developed a great appreciation for their meaning. I want to explore Chinese characters by learning how to write them in a more beautiful way. ? A: Finally, what do you want to say to anyone interested in learning Chinese?? I have really become keen on learning more about the Chinese culture, in particular Chinese Calligraphy. As I have learnt Chinese character, I have developed a great appreciation for their meaning. I want to explore Chinese characters by learning how to write them in a more beautiful way.? A: Finally, what do you want to say to anyone interested in learning Chinese?? B: I'd say, give it a shot! While some aspects may be difficult, it is quite rewarding and you will be happy that you tried.? A: Thanks for your time. ? B:You're welcome.
人教A版高中數(shù)學(xué)必修一奇偶性教學(xué)設(shè)計(jì)（2）
《奇偶性》內(nèi)容選自人教版A版第一冊(cè)第三章第三節(jié)第二課時(shí);函數(shù)奇偶性是研究函數(shù)的一個(gè)重要策略,因此奇偶性成為函數(shù)的重要性質(zhì)之一,它的研究也為今后指對(duì)函數(shù)、冪函數(shù)、三角函數(shù)的性質(zhì)等后續(xù)內(nèi)容的深入起著鋪墊的作用.課程目標(biāo)1、理解函數(shù)的奇偶性及其幾何意義；2、學(xué)會(huì)運(yùn)用函數(shù)圖象理解和研究函數(shù)的性質(zhì)；3、學(xué)會(huì)判斷函數(shù)的奇偶性．?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：用數(shù)學(xué)語(yǔ)言表示函數(shù)奇偶性；2.邏輯推理：證明函數(shù)奇偶性；3.數(shù)學(xué)運(yùn)算：運(yùn)用函數(shù)奇偶性求參數(shù)；4.數(shù)據(jù)分析：利用圖像求奇偶函數(shù)；5.數(shù)學(xué)建模：在具體問(wèn)題情境中，運(yùn)用數(shù)形結(jié)合思想，利用奇偶性解決實(shí)際問(wèn)題。重點(diǎn)：函數(shù)奇偶性概念的形成和函數(shù)奇偶性的判斷；難點(diǎn)：函數(shù)奇偶性概念的探究與理解．教學(xué)方法：以學(xué)生為主體，采用誘思探究式教學(xué)，精講多練。
人教A版高中數(shù)學(xué)必修一對(duì)數(shù)的概念教學(xué)設(shè)計(jì)（2）
對(duì)數(shù)與指數(shù)是相通的，本節(jié)在已經(jīng)學(xué)習(xí)指數(shù)的基礎(chǔ)上通過(guò)實(shí)例總結(jié)歸納對(duì)數(shù)的概念，通過(guò)對(duì)數(shù)的性質(zhì)和恒等式解決一些與對(duì)數(shù)有關(guān)的問(wèn)題.課程目標(biāo)1、理解對(duì)數(shù)的概念以及對(duì)數(shù)的基本性質(zhì)；2、掌握對(duì)數(shù)式與指數(shù)式的相互轉(zhuǎn)化；數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：對(duì)數(shù)的概念；2.邏輯推理：推導(dǎo)對(duì)數(shù)性質(zhì)；3.數(shù)學(xué)運(yùn)算：用對(duì)數(shù)的基本性質(zhì)與對(duì)數(shù)恒等式求值；4.數(shù)學(xué)建模：通過(guò)與指數(shù)式的比較，引出對(duì)數(shù)定義與性質(zhì).重點(diǎn)：對(duì)數(shù)式與指數(shù)式的互化以及對(duì)數(shù)性質(zhì)；難點(diǎn)：推導(dǎo)對(duì)數(shù)性質(zhì)．教學(xué)方法：以學(xué)生為主體，采用誘思探究式教學(xué)，精講多練。教學(xué)工具：多媒體。一、 情景導(dǎo)入已知中國(guó)的人口數(shù)y和年頭x滿足關(guān)系 中，若知年頭數(shù)則能算出相應(yīng)的人口總數(shù)。反之，如果問(wèn)“哪一年的人口數(shù)可達(dá)到18億，20億，30億......”，該如何解決？要求：讓學(xué)生自由發(fā)言，教師不做判斷。而是引導(dǎo)學(xué)生進(jìn)一步觀察.研探.
人教A版高中數(shù)學(xué)必修一函數(shù)的概念教學(xué)設(shè)計(jì)（2）
函數(shù)在高中數(shù)學(xué)中占有很重要的比重，因而作為函數(shù)的第一節(jié)內(nèi)容，主要從三個(gè)實(shí)例出發(fā)，引出函數(shù)的概念.從而就函數(shù)概念的分析判斷函數(shù)，求定義域和函數(shù)值，再結(jié)合三要素判斷函數(shù)相等.課程目標(biāo)1.理解函數(shù)的定義、函數(shù)的定義域、值域及對(duì)應(yīng)法則。2.掌握判定函數(shù)和函數(shù)相等的方法。3.學(xué)會(huì)求函數(shù)的定義域與函數(shù)值。數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：通過(guò)教材中四個(gè)實(shí)例總結(jié)函數(shù)定義；2.邏輯推理：相等函數(shù)的判斷；3.數(shù)學(xué)運(yùn)算：求函數(shù)定義域和求函數(shù)值；4.數(shù)據(jù)分析：運(yùn)用分離常數(shù)法和換元法求值域；5.數(shù)學(xué)建模：通過(guò)從實(shí)際問(wèn)題中抽象概括出函數(shù)概念的活動(dòng)，培養(yǎng)學(xué)生從“特殊到一般”的分析問(wèn)題的能力，提高學(xué)生的抽象概括能力。重點(diǎn)：函數(shù)的概念，函數(shù)的三要素。難點(diǎn)：函數(shù)概念及符號(hào)y=f(x)的理解。
人教A版高中數(shù)學(xué)必修一基本不等式教學(xué)設(shè)計(jì)（2）
《基本不等式》在人教A版高中數(shù)學(xué)第一冊(cè)第二章第2節(jié)，本節(jié)課的內(nèi)容是基本不等式的形式以及推導(dǎo)和證明過(guò)程。本章一直在研究不等式的相關(guān)問(wèn)題，對(duì)于本節(jié)課的知識(shí)點(diǎn)有了很好的鋪墊作用。同時(shí)本節(jié)課的內(nèi)容也是之后基本不等式應(yīng)用的必要基礎(chǔ)。課程目標(biāo)1.掌握基本不等式的形式以及推導(dǎo)過(guò)程，會(huì)用基本不等式解決簡(jiǎn)單問(wèn)題。2.經(jīng)歷基本不等式的推導(dǎo)與證明過(guò)程，提升邏輯推理能力。3.在猜想論證的過(guò)程中，體會(huì)數(shù)學(xué)的嚴(yán)謹(jǐn)性。數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：基本不等式的形式以及推導(dǎo)過(guò)程；2.邏輯推理：基本不等式的證明；3.數(shù)學(xué)運(yùn)算：利用基本不等式求最值；4.數(shù)據(jù)分析：利用基本不等式解決實(shí)際問(wèn)題；5.數(shù)學(xué)建模：利用函數(shù)的思想和基本不等式解決實(shí)際問(wèn)題，提升學(xué)生的邏輯推理能力。重點(diǎn)：基本不等式的形成以及推導(dǎo)過(guò)程和利用基本不等式求最值；難點(diǎn)：基本不等式的推導(dǎo)以及證明過(guò)程．
人教A版高中數(shù)學(xué)必修一集合的概念教學(xué)設(shè)計(jì)（2）
例7 用描述法表示拋物線y＝x2＋1上的點(diǎn)構(gòu)成的集合．【答案】見(jiàn)解析 【解析】 拋物線y＝x2＋1上的點(diǎn)構(gòu)成的集合可表示為：{(x，y)|y＝x2＋1}．變式1．[變條件，變?cè)O(shè)問(wèn)]本題中點(diǎn)的集合若改為“{x|y＝x2＋1}”，則集合中的元素是什么？【答案】見(jiàn)解析 【解析】集合{x|y＝x2＋1}的代表元素是x，且x∈R，所以{x|y＝x2＋1}中的元素是全體實(shí)數(shù)．變式2．[變條件，變?cè)O(shè)問(wèn)]本題中點(diǎn)的集合若改為“{y|y＝x2＋1}”，則集合中的元素是什么？【答案】見(jiàn)解析 【解析】集合{ y| y＝x2＋1}的代表元素是y，滿足條件y＝x2＋1的y的取值范圍是y≥1，所以{ y| y＝x2＋1}＝{ y| y≥1}，所以集合中的元素是大于等于1的全體實(shí)數(shù)．解題技巧（認(rèn)識(shí)集合含義的2個(gè)步驟）一看代表元素，是數(shù)集還是點(diǎn)集，二看元素滿足什么條件即有什么公共特性。
人教A版高中數(shù)學(xué)必修一任意角教學(xué)設(shè)計(jì)（1）
本節(jié)課選自《普通高中課程標(biāo)準(zhǔn)數(shù)學(xué)教科書-必修一》（人 教A版）第五章《三角函數(shù)》，本節(jié)課是第1課時(shí)，本節(jié)主要介紹推廣角的概念,引入正角、負(fù)角、零角的定義，象限角的概念以及終邊相同的角的表示法。樹(shù)立運(yùn)動(dòng)變化的觀點(diǎn),并由此進(jìn)一步理解推廣后的角的概念。教學(xué)方法可以選用討論法,通過(guò)實(shí)際問(wèn)題，如時(shí)針與分針、體操等等都能形成角的流念,給學(xué)生以直觀的印象,形成正角、負(fù)角、零角的概念,明確規(guī)定角的概念，通過(guò)具體問(wèn)題讓學(xué)生從不同角度理解終邊相同的角,從特殊到一般歸納出終邊相同的角的表示方法。A.了解任意角的概念；B.掌握正角、負(fù)角、零角及象限角的定義，理解任意角的概念；C.掌握終邊相同的角的表示方法；D.會(huì)判斷角所在的象限。 1.數(shù)學(xué)抽象：角的概念；2.邏輯推理：象限角的表示；3.數(shù)學(xué)運(yùn)算：判斷角所在象限；4.直觀想象：從特殊到一般的數(shù)學(xué)思想方法；
