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新人教版高中英語必修2Unit 4 History and Traditions-Listening＆Speaking＆Talking教案二
Listening and Speaking introduces the topic of “Take part in a youth project”. The listening text is an interview about "sharing views on historical sites". Through listening to a dialogue between Chinese and foreign students on the way to the Confucius Temple, students can understand their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts, so as to realize and think about the profound influence of Confucius and his thoughts on Chinese historical tradition. At the same time, the dialogue naturally integrates English idioms and mentions Shakespeare, the British playwright, so as to provide language materials and context for students to understand English idioms and related cultural allusions, as well as to compare Chinese and foreign cultures, which is helpful for students to understand and express the language such as history, tradition, culture and custom significant impact.Text analysis: listening text is a dialogue between a British student and a Chinese student when he goes to the Confucius Temple. When William, a British student, visited the Confucius Temple, he asked Xiao Kong, a Chinese student, for directions. Xiao Kong was just going to the Confucius Temple to meet with the members of the research group, so they went together and exchanged their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts. From the perspective of foreign tourists, this paper describes their thoughts on Confucius, the great son of Confucius, who had a profound impact on Chinese history and cultural tradition, and his education.Listening and Talking introduces a visit to a historic tourist destination. Tourism is a common way to understand a country's history, culture, and customs and so on. Students listen to the dialogue between Xiao Yan, a youth hostel Usher, and Paul, a backpacker, to learn about Pingyao's famous historical and cultural attractions and Paul's travel experience and experience as a foreign tourist.
新人教版高中英語必修2Unit 4 History and Traditions-Listening＆Speaking＆Talking教案一
This unit is about history and traditions. From the opening page, we can know that this unit will introduce the history and traditions around the world. As Marcus Garvey says “A people without the knowledge of their past history, origin and culture is like a tree without roots”, it is important for students to realize the importance and value of knowing the history and traditions and their further meanings. And this part ( listening and speaking ) is divided into two parts: Part A---share views on historic sites, Part B ---talk about a visit to a historic tourist destination. By talking with a foreigner, the speakers introduce the historic attractions and their cultures. Part A is that William, a British student, who was going to visit the Confucius Temple and a Chinese student, Xiao Kong, who was going to the Confucius Temple to meet with the members of the research group, went together and exchanged their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts. Part B is a conversation between Xiao Yan, a youth hostel receptionist and Paul, a backpacker about the feelings and experience after visiting the Chinese famous tourist attraction Pingyao.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 talk about historic spots and great person.3. Instruct students to use functional sentences of showing one’s excitement, surprise and disappointment.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to discuss with their peers the related topics.3. Enable students to use the functional items of showing one’s excitement, surprise and disappointment.
新人教版高中英語必修2Unit 3 The Internet-Listening &Speaking＆Talking教案二
From the pictures in the text and the title--- choose the best app, we can know that this part is about how to save money by using apps.Step 2 While-listening1. Laura and Xiao Bo are talking about apps. Listen to their conversation and find out what apps they want.Xiao Bo is looking for a(n) exercise app to help him get in shape.Laura would like an app for getting rich and another that will make her grades better.2. Listen again. Are the sentences true T or false F?1). Both of Xiao Bo's apps keep track of the steps he takes._____2). Xiao Bo's second app can help him make a fitness plan._____3). Laura needs an app that will help her get discounts.______4). Laura needs an app that will add money to her bank account._______F T F T3. Listen once more and tick the sentence you hear. Underline the words used to express predictions, guesses, and beliefs.Predictions, Guesses, and Beliefs________It might help me walk more.________My guess is that it wouldn't work.________I imagine this app would help me get fit faster________I suppose that would be good.________I guess you could save a little with this app.________I suppose there would be some problems, too.________I believe this app could help me get thinner.
新人教版高中英語必修2Unit 4 History and Traditions-Discovering Useful Structure教案二
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:溫故而知新。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:過去分詞作定語時的意義1．及物動詞的過去分詞作定語，在語態(tài)上表示被動；在時間上，常表示動作已經發(fā)生或完成，有時也不表示時間性。Our teacher watched us doing the experiment and gave us a satisfied smile at last．我們的老師看著我們做實驗，最后給了我們一個滿意的微笑。The plan put forward at the meeting will be carried out soon．會上提出的計劃將很快被執(zhí)行。2．不及物動詞的過去分詞作定語，它不表示被動意義，只強調動作完成。Many little kids like gathering fallen leaves in the yard．
新人教版高中英語必修2Unit 4 History and Traditions-Reading and Thinking教案二
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
新人教版高中英語必修2Unit 2 Wildlife Protection-Listening &Speaking＆Talking教案
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.
新人教版高中英語必修2Unit 1 Cultural Heritage-Listening＆Speaking＆Talking教案
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.
新人教版高中英語必修2Unit 3 The Internet-Listening &Speaking＆Talking教案一
Listening and Speaking introduces the topic of “ask about online habits”. Many middle school students have been surfing the Internet for many years, but what they do with the Internet and how much time they spend every day may not be very clear to themselves, nor to other students. This section allows students to investigate their peers' Internet use, which is conducive to their mutual understanding and understanding of the Internet. It can also help them reflect on their own online behavior, learn from other people's good online habits, and get rid of their bad online behavior.The listening text of this section is an investigation interview. The investigators interview specific groups with the same questions to obtain information, so as to understand their views, practices or attitudes on this issue. There are two specific questions: “how much time do you spend online every day? What do you usually do online?”. The answers of the three respondents provide rich and different information, and achieve the purpose of the investigators. The oral discourse structure of survey interviews generally includes greeting and explaining the purpose of the interview, presenting the interview questions and the respondents' answers. Listening and Talking introduces the theme of “choosing the right application ". Listening text is a conversation between Laura and Xiao Bo. In this part of listening, “oink”； “piggy bank” may cause the students' hearing comprehension limitation. Oink refers to sound word and pig's sound. So, add some oink to my piggy bank is often used to describe "making a little money".1. Guide students to understand the content of listening texts in terms of listening for definitions.2. Cultivate students' ability to define words and understand an investigation interview.
新人教版高中英語必修2Unit 5 Music-Listening＆Speaking＆Talking教案
choir memberspeople to run food stands people to sell festival ticketspeople to sell music CDspeople to set up equipmentmusical performersStep 2: Listen to the announcement again and answer the questions. ? 1. What kind of songs will Grace Davis sing at the festival?? 2. Who can try out as a performer?? 3. What can those who think they do not have musical talent do?? 4. How can students volunteer to take part?? Talking about preferences:? Would you prefer doing ..?? What would you prefer to do?? Would you rather do .... or ….?? What would you rather do?? I'd prefer .... to ..? I'd rather have ... than .. Step 3: Speaking ProjectWork in groups. Role-play the conversation or make a new one.? Debbie: Where have you been? You missed the announcement about the music festival.? John: I was at the doctor's office. Music festival?? Frank: Yes, it's going to be next month on the school sports field. John, you can play the piano. How about playing it at the festival?? John: Well, I'd rather play the violin. I can play Liang Zhu.? Frank: Wow! Sounds good. What about you, Debbie? ? Debbie: Actually, I don't have much musical ability. I'd prefer just to help out with the crowds.? Frank: You can sell tickets or work at a food stand.? John: So can I assume that the aim of the festival is to raise money?? Debbie: Yes. All of the money will go to charity.
新人教版高中英語必修2Unit 4 History and Traditions-Discovering Useful Structure教案一
Step 5 Practice一、完成下列句子。1. Judy and I _______________（把車停下來(park)）in an underground car Park near Trafalgar Square, where we could ______________________(讓我們的車充電（charge)).2. When we finally reached the service desk to ask for audio guides, we heard it ___________ that there were no audio guides____________(留下，剩下）.3. We__________________________（發(fā)現(xiàn)自己對...很驚訝）the large number of visitors and the amount of noise at the entrance of the National Gallery.4. Judy ____________________(眼神專注于） Van Gogh’s Sunflowers. It was hard to approach the painting as there were so many people around.5. She ____________________(把這幅畫的復制品裝箱（box)） to ensure that it was delivered safely.答案：1.had our car parked get our car battery charged 2. announced left 3. found ourselves very surprised 4. had her eyes fixed on 5. had a copy of the painting boxed二、用過去分詞對下列句子進行改寫。1. Loch Ness was surrounded by beautiful natural landscape, which made it look amazing.2. Carl and his friend stayed with a generous family who offered them bread with butter and honey that was homemade.3. The family’s ancestors once attended to soldiers who were wounded in the First World War.4. The young people were attracted by the legend of Loch Ness. They watched over the lake with their cameras and binoculars, which were positioned on the hill.答案：1. Loch Ness surrounded by beautiful natural landscape looks amazing.2. Carl and his friends stayed with a generous family who offered them homemade bread with butter and honey.3. The family’s ancestors once attended to wounded soldiers in the First World War.4. The young people attracted by the legend of Loch Ness watched over the lake with their cameras and binoculars positioned on the hill.
新人教版高中英語必修2Unit 4 History and Traditions-Reading and Thinking教案一
Features of languages1．Finally, in the 20th century, the southern part of Ireland broke away from the UK, which resulted in the full name we have today: the United Kingdom of Great Britain and Northern Ireland．該句是一個復合句。該句主句為：the southern part of Ireland broke away from the UK；which resulted in the full name we have today為which引導的定語從句代指前面整句話的內容，we have today為定語從句修飾先行詞name。譯文：最后，在20世紀，愛爾蘭南部脫離英國，這導致了我們今天有的英國的全名：大不列顛及北愛爾蘭聯(lián)合王國。2．Almost everywhere you go in the UK, you will be surrounded by evidence of four different groups of people who took over at different times throughout history．該句是一個復合句。該句主句為：you will be surrounded by evidence of four different groups of people；其中Almost everywhere you go in the UK為讓步狀語從句； who took over at different times throughout history為定語從句修飾先行詞people。譯文：幾乎無論你走到英國的任何地方，你都會發(fā)現(xiàn)歷史上有四種不同的人在不同的時期統(tǒng)治過英國。3．The capital city London is a great place to start, as it is an ancient port city that has a history dating all the way back to Roman times．該句是一個復合句。該句主句為：The capital city London is a great place to start; as it is an ancient port city that has a history dating all the way back to Roman times．為原因狀語從句；dating all the way back to Roman times為現(xiàn)在分詞短語作定語修飾history。
新人教版高中英語必修2Unit 4 History and Traditions-Reading for Writing教案
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.
新人教版高中英語必修2Unit 4 History and traditions教案
這個地區(qū)有著深厚的傳統(tǒng)。既學既練：為了讓更多的外國游客了解中國文化，欣賞中國美麗的自然風光，感受中國發(fā)生的巨大變化，某外文雜志社將出版一本英語小冊子來介紹中國的旅游景點。該雜志社邀請你為該小冊子寫一篇英語短文來介紹杭州，內容包括：1．杭州的位置(中國東南部)、面積(16 000多平方公里)及歷史(2 200多年)等；2．杭州的旅游特色(自然風景、傳統(tǒng)文化、特色小吃等)；3．希望更多的游客來杭州參觀。注意：1．詞數(shù)80左右；2．可適當增加細節(jié)，以使行文連貫。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．
新人教版高中英語必修1Unit 2 Travelling Around-Listening and Speaking & Listening and Talking教案
【教學目標與核心素養(yǎng)】1. Instruct students to get main facts by listening and motivate them to talk about the topics about how to prepare for the trip and make reservations by listening and ultimately can make travel arrangements and reservations. 2. Develop students’ sense of cooperative learning and individual thinking capability. 3. Develop students’ different listening skills to solve different listening comprehensive problems.4. Help students to understand how to use the structures “the present continuous tense (be doing) is used to express future plans.【教學重難點】1. Teach students how to focus on key words, not on single words or grammar.2. Prompt Ss to talk about the related topics, such as how to prepare for the trip and make a travel plan.【教學過程】Step 1: Listening and SpeakingLead inThe teacher is advised to talk with their students about the places that they want to travel most both at home and abroad: boys and girls, if you have a chance to travel around the world, where will you go? After their small talk, the teacher can move on by finishing the following listening task:Before travelling, what do we need to prepare for the trip?
新人教版高中英語必修1Unit 4 Natural Disasters-Listening and Speaking教案
【教材分析】高考聽力材料的選用非常重視語言真實性和交際性的原則，語言材料一般來源于實際生活，對話的內容大都取材于日常生活，即衣、食、住、行、工作、學習、天氣、生活環(huán)境等話題，可分為校園、公共場所、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。新教材的特點就是利用生活中真實文本，只是降低難度，讓學生注重語言的應用，將是我們高考把握方向的重要因素?！窘虒W目標與核心素養(yǎng)】學習能力目標：在聽力當中，學生應該有效規(guī)劃學習方法，選擇恰當?shù)牟呗耘c方法。這節(jié)課的訓練目標是讓學生有正確的預測和抓住問題的關鍵信息，從而用心去聽來找尋關鍵信息。根據生活中實際情況和高考常見語境，我們不難發(fā)現(xiàn)提前預測和抓住題干中的w很重要，即what, where, when, why等等。
新人教版高中英語必修1Unit 3 Sports and Fitness-Listening and Speaking & Listening and Talking教案
Finally, after finishing the task above, the teacher is expected to instruct students to work in groups to finish the following project:Speaking ProjectWhat event or activity would you like to invite your friend to? Make a conversation with a partner.Ski Race: Zhangjiakou, a beautiful city in northern China, will host the Youth Ski Race in December.Track Meet: a great event for track –and –field lovers on 26 October.Gym Class: come and work out at a gym! You can make it.Part 2: Listening and Talking:The teacher is advised to talk with their new students about the related topic: Boys and girls , what do you think of sportsmanship? Let’s listen and find out:Play the listening and match each opinion with the right speaker. Who do you agree with? Why?Cao Jing _____________ Lily _____________ Max _____________A. An athlete should do his/her best to win.B. The girl should stop and help the other girl. Good sportsmanship is more important than wining!C. An athlete should think about honor and his/her fans if he/she is competing for his/her country.Listen again and circle the expressions that you hear in the conversation.
新人教版高中英語必修1Unit 1 Teenage Life-Listening and Speaking & Listening and Talking教案
Step 2 Listening and Talking1. The teacher is advised to talk with their new students about the related topic: Boys and girls, do you know some structures to talk about future activities? Talking about future activitiesWe’ll …I plan to …There’ll be …I hope to …We’re going to …2. After their small talk, the teacher can move on by playing the listening and solve the following task.Underline the expressions in the sentences below Cao Jing and Max use to talk about the future.We’ll learn useful skills.I plan to improve my spoken English.There’ll be students from different schools.I hope to make new friends.We’ll talk about teenage life.I’ll learn to make a fire.There’ll be students from different countries at the camp.There’ll be some experts there to show us how to live in the wild.We’re going to learn about wildlife.I’m going to give a speech.I think I’m going to enjoy the activities.I think we’ll have a lot of fun.3. Work in groups. Plan a youth camp.Teacher make the Ss think of ideas for the camp. And they can use the questions below to get started. And have the Ss present their ideas for a youth camp to the class.●What kind of camp is it?●Who will be there?●What will they do?●What will they learn?
新人教版高中英語必修3Unit 4 Space Exploration-Listening&Speaking＆Talking教學設計二
The themes of this part are “Talk about how to become an astronaut” and “Talk about life in space”. As Neil Armstrong said “Mystery creates wonder and wonder is the basis of man’s desire to understand. Space is difficult for human to reach, therefore, humans are full of wonders about it. However, if wanting to achieve the dream of reaching the Moon, some of our human should work hard to be an astronaut at first. Part A(Talk about how to become an astronaut) is a radio interview in a radio studio, where the host asked the Chinese astronauts about his story how to become an astronaut. Yang Liwei told his dreamed to be an astronaut since childhood. Then he worked hard to get into college at 22. The next 10 years, he gradually became an experienced pilot. At the same time, to be an astronaut, he had to study hard English, science and astronomy and trained hard to keep in good physical and mental health and to practise using space equipment. Part B (Talk about life in space) is also an interview with the astronaut Brown, who is back on the earth. The host Max asked about his space life, such as his emotion about going back the earth, the eating, shower, brushing, hobbies and his work. Part A and Part B are interviews. So expressing curiosity about the guests’ past life is a communicative skill, which students should be guided to learn.1. Students can get detailed information about how Yang Liwei became an astronaut and Max’s space life.2. Students learn to proper listening strategy to get detailed information---listening for numbers and taking notes.3. Students can learn related sentences or phrases to express their curiosity like “ I wish to know...” “I’d love to know...”4. Students can learn more about the space and astronauts, even be interested in working hard to be an astronaut
高中數(shù)學人教版必修二直線的點斜式方程教案
【教學重點】直線的點斜式方程、斜截式方程的確定．【教學難點】直線的點斜式方程、斜截式方程的確定．【教學過程】1、對特殊三角函數(shù)進行鞏固復習；表1 內特殊三角函數(shù)值 不存在圖1 特殊三角形2、鞏固復習直線的傾斜角和斜率相關內容；直線的傾斜角：，；直線的斜率： ， ；設點為直線l上的任意兩點，當時，
高中數(shù)學人教版必修二直線的點斜式方程教案
【教學目標】知識目標：理解直線的點斜式方程、斜截式方程、橫截距、縱截距的概念；掌握直線的點斜式方程、斜截式方程的確定．能力目標：通過求解直線的點斜式方程和斜截式方程，培養(yǎng)學生的數(shù)學思維能力與數(shù)形結合的數(shù)學思想．情感目標：通過學習直線的點斜式方程和斜截式方程，體會數(shù)形結合的直觀感受．【教學重點】直線的點斜式方程、斜截式方程的確定．【教學難點】直線的點斜式方程、斜截式方程的確定．