例7 用描述法表示抛物线y=x2+1上的点构成的集合.【答案】见解析 【解析】 抛物线y=x2+1上的点构成的集合可表示为:{(x,y)|y=x2+1}.变式1.[变条件,变设问]本题中点的集合若改为“{x|y=x2+1}”,则集合中的元素是什么?【答案】见解析 【解析】集合{x|y=x2+1}的代表元素是x,且x∈R,所以{x|y=x2+1}中的元素是全体实数.变式2.[变条件,变设问]本题中点的集合若改为“{y|y=x2+1}”,则集合中的元素是什么?【答案】见解析 【解析】集合{ y| y=x2+1}的代表元素是y,满足条件y=x2+1的y的取值范围是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的全体实数.解题技巧(认识集合含义的2个步骤)一看代表元素,是数集还是点集,二看元素满足什么条件即有什么公共特性。
本节主要内容是三角函数的诱导公式中的公式二至公式六,其推导过程中涉及到对称变换,充分体现对称变换思想在数学中的应用,在练习中加以应用,让学生进一步体会 的任意性;综合六组诱导公式总结出记忆诱导公式的口诀:“奇变偶不变,符号看象限”,了解从特殊到一般的数学思想的探究过程,培养学生用联系、变化的辩证唯物主义观点去分析问题的能力。诱导公式在三角函数化简、求值中具有非常重要的工具作用,要求学生能熟练的掌握和应用。课程目标1.借助单位圆,推导出正弦、余弦第二、三、四、五、六组的诱导公式,能正确运用诱导公式将任意角的三角函数化为锐角的三角函数,并解决有关三角函数求值、化简和恒等式证明问题2.通过公式的应用,了解未知到已知、复杂到简单的转化过程,培养学生的化归思想,以及信息加工能力、运算推理能力、分析问题和解决问题的能力。
2、知道家有几口,感受家的快乐。 活动准备: 大苹果胸饰一个(正面红色,背面绿色);小苹果胸饰一个;人手一份苹果脸谱;苹果树(挂着与幼儿人数相同的大小,红、绿苹果。);苹果全家福一张;眼镜、头发、小圆片等若干。鼓、录音机、像机。 活动过程: 一、创设情景,激起兴趣 1、观看教师大苹果胸饰,区分颜色。分别观看两教师胸饰,学习区分大小。 2、摘苹果活动:比一比、讲一讲,初步分清大小、颜色。
2、 在活动过程中根据物体的大小特征匹配相应大小的物体。3、 尝试用语言讲述操作过程。活动过程:1、 集体活动。 (1) 给四只大小不同的小猫排序。 教师出示图片小猫,提问:它们是谁?一共有几只?他们有什么不一样?谁会帮它们排队?先带领幼儿数数1、2、3、4只猫,然后大家确定开始的地方,幼儿上来排序,其他幼儿看排大的对不对,并集体讲述她是怎么排序的。(2) 给小猫送鱼。 教师出示三条鱼的图片。问:这是什么?谁最爱吃鱼?那我们把这些鱼送给小猫好吗?看看这些鱼有什么不一样?想想应该怎么送?幼儿操作,师生共同检查,教师引导说出:最小的鱼送给最小的猫,大一点鱼送给大一点的猫,最大的鱼送给最大的猫。大家集体练习一次。
2、乐意参加操作活动,体验成功的快乐。 活动准备: 1、范图;各种小动物的拼图。 3、幼儿用书人手一本。 活动过程: 1、观察完整的小动物拼图。 教师出示完整的小动物拼图。宝宝们,你们看,老师带来了什么?你们认识它们吗? 引导幼儿跟每个小动物问好。
4. 今天我们继续学习《富起来到强起来》 。 活动一:了解社会主义核心价值观1. 看过了视频,接下来由各个小组与我们分享他们在课下准备的核心价值 观小品,每组表演时,剩下的小组猜测表演的是哪一个核心价值观并在活动评 价单上进行评分。2. 教师总结:“精神文明建设使人们的生活更美好”教师引导学生:精神文明建设搞好了,人心凝聚,精神振奋,各项事业才 会全面兴盛。活动二:走进新时代,怀揣中国梦。1. 播放“中国梦”优秀少儿演讲视频。2. 阅读课本,交流感想。 活动三:争做时代好少年1. 回顾各小组的表演,把其中所有的不良习惯和闪光举动逐个挑出来再次 强调。2. 小组交流班级内部常见的坏习惯。教师总结。 总结延伸:通过本节课的学习了解到青少儿应积极投身于社会主义精神文明建设的伟 大实践中去,做新时代的好少,做新时期中国先进文化的传播者。
1、课件出示教材第12页图片。学生思考问题,当你们遇到这样的情况时,你们会怎么做?学生活动;学生讨论交流。教师小结:孩子们,你们的做法非常正确。我希望你们能够按照自己说的那样去做,成为当之无愧的开心果。2、课件出示教材第13页情境图(扫地的妈妈咳嗽;唉声叹气的爸爸;发怒的爷爷;哭泣的小妹妹。)请同学们猜一猜这些人遇到了什么情况?你们是怎么判断出来的?你们会怎么做呢?学生活动:学生思考后畅所欲言。学生1:通过观察动作,我发现妈妈边扫地边咳嗽,然后我会帮助妈妈扫地,让妈妈休息。学生2:通过观察表情,我发现爸爸遇到不开心的事,然后我会给爸爸讲笑话,逗他开心。学生3:通过观察表情,我发现爷爷很生气,然后我会帮爷爷捶捶背,让爷爷放轻松。学生4:通过观察表情,我发现小妹妹在哭位,然后我会开导她,哄她开心。教师总结:同学们说得很好。我希望你们以后遇到类似的情况时,能够及时给他人带去快乐,做个“开心果”。
The topic of this part is “Discover the reasons for festivals and celebrations.The Listening & Speaking & Talking part aims at talking about the experiences and feelings or emotions about the festivals and celebrations. This section aims at detecting the reason why the people celebrate the festivals, the time, the places, the types and the way of celebrations. It also explains why some traditions in the old celebrations are disappearing, like the firecrackers in the big cities and some new things are appearing like the prosperity of business or commerce. 1. Students can talk about what festivals they know and the reasons and the way of celebrating them.2. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.3. Students can understand the past, the present situation of some festival around the world and why there are some changes about them. 4. Students can have the international awareness about the festivals.1. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.2. Students can understand the past, the present situation of some festival around the world and why there are some changes about them.Step 1 Lead in---Small talkWhat festival do you like best ? Why ?I like the Spring Festivals because I can set off the fireworks, receive the lucky money and enjoy the Gala with my families.Step 2 Before reading---Pair workWhy do people celebrate different festivals ?The Spring Festivals is to celebrate the end of winter and the coming of spring and new life.The Mid-autumn Day is to celebrate the harvest and admire the moon.
The theme of this section is “Talk about festival activities and festival experiences”.Festival and holiday is a relaxing and interesting topic for students. This part talks about the topic from the daily life of students’. In the part A ---Listening and Speaking, there are three conversations among different speakers from three countries(Japan, Rio and China), where the speakers are participating in or going to participate in the festivals and celebrations. So listening for the relationship among them is a fundamental task. Actually, with the globalization and more international communication, it is normal for Chinese or foreigners to witness different festivals and celebrations in or out of China. In the Conversation 1, a foreign reporter is interviewing a Japanese young girl who just had participated in the ceremony of the Coming-of-Age Day on the street and asking her feeling about the ceremony and the afterwards activities. Conversation 2, Chinese girl Li Mei is witnessing the Rio Carnival for the first time, and her friend Carla gives her some advice on the costumes which enables her to match with the carnival to have a good time. Conversation 3, a Chinese guide is showing a group of foreign visitors around the Lantern Festival and introducing the customs of the festival to them. The three conversations have a strong vitality and insert the festival and cultural elements from different countries. So perceiving the festivals and cultures from different countries is the second task. At the same time, the scripts also insert the targeted grammar --- v-ing as attributive and predicative, which students can perceive and experience in a real context and make a road for the further study. That is the third task. In the Part B--- Listening and Talking, the theme is “Talk about festival experience”, which is the common topic in our daily conversations. During the conversation, Song Lin, a Chinese student, asked Canadian friend Max about how to spend Christmas. In the conversation, Song Lin talked about experience and the feelings during the Chinese Spring Festival, during which there are not only some enjoyable things but some unpleasant things. After the listening, perhaps students find there are some similarities between Christmas and the Chinese Spring Festival as there are some differences in the origins and celebrations. For example, people always visit friends and relatives, decorate their houses, have a big dinner together, chat and give presents to each other.
Step 3 Analyzing article structureActivity 31. Teachers raise questions to guide students to analyze the chapter structure of this diary and think about how to describe the festival experience. (1)What should be included in the opening/body/closing paragraph(s)?(2)How did the writer arrange his/her ideas?(3)What kind of interesting details did the writer describe?(4)How did the writer describe his/her feelings/emotions during the event?2. Students read and compare the three sentence patterns in activity 2. Try to rewrite the first paragraph of the diary with these three sentence patterns. After that, students exchange corrections with their partners. Such as:●This was my first time spending three days experiencing the Naadam Festival in China’s Inner Mongolia Autonomous Region and it was an enjoyable and exciting experience. ●I'll never forget my experience at the Naadam Festival because it was my first time to watch the exciting Mongolian games of horse racing, wrestling, and archery so closely. ●I'll always remember my first experience at the Naadam Festival in China’s Inner Mongolia Autonomous Region because it was so amazing to spend three days witnessing a grand Mongolian ceremony. Step 4 Accumulation of statementsActivity 41. Ask the students to read the diary again. Look for sentences that express feelings and emotions, especially those with the -ing form and the past participle. Such as:● …horse racing, wrestling, and archery, which are all so exciting to watch. ● some amazing performances● I was surprised to see…● I was a little worried about. . . ● feeling really tiredOther emotional statements:●I absolutely enjoyed the archery, too, but the horse races were my favourite part. ●I'm finally back home now, feeling really tired, but celebrating Naadam with my friend was totally worth it. ●He invited me back for the winter to stay in a traditional Mongolian tent and cat hot pot. I can’t wait!2. In addition to the use of the -ing form and the past participle, the teacher should guide the students in the appreciation of these statements, ask them to memorize them, and encourage them to use them reasonably in writing practice.
The topic of this part is “Describe a place with distinctive cultural identity”.This section focuses on Chinese culture by introducing Chinatown, whose purpose is to show the relationship between the Chinese culture and American culture. The Chinese culture in Chinatown is an important part of American culture. Chinatown is an important window of spreading Chinese culture and the spirit homeland of oversea Chinese, where foreigners can experience Chinese culture by themselves.Concretely, the title is “Welcome to Chinatown!”, from which we can know that the article aims at introducing Chinatown. The author used the “Introduction--Body Paragraph--Conclusion” to describe the people, language, architecture, business, famous food and drinks and people’s activities, which can be a centre for Chinese culture and shows its unique charm.1. Read quickly to get main idea; read carefully to get the detailed information.2. Learn the characteristics of writing and language.3. Learn to introduce your own town according to the text.4. Learn to correct others’ writing.1. Learn the characteristics of writing and language.2. Learn to introduce your own town according to the text.Step 1 Lead in ---Small talkIn the reading part, we mentioned the Chinatown of San Francisco. How much do you know about Chinatown of San Francisco ?Chinatown is a main living place for Chinese immigrants, where you can see many Chinese-style buildings, costumes, operas, restaurants, music and even hear Chinese.Step 2 Before reading ---Predict the contentWhat is the writer’s purpose of writing this text ? How do you know ?From the title(Welcome to Chinatown) and some key words from the text(tourist, visit, visitors, experience), we can know the purpose of the text is to introduce Chinatown and show the relationship between Chinese culture and American culture.
Listening and Speaking introduces the topic of “talking about how to become an astronaut”. This period is aimed to inform students some details about the requirements of being an astronaut. Students can be motivated and inspired by the astronauts. Teachers ought to encourage students to learn from them and let them aim high and dream big.Listening and Talking introduces the theme of "talk about life in space". This part also informs students more details about life in space and can inspire students to be curious about this job. 1. Guide students to listen for numbers concerning dates, years and ages etc2. Cultivate students' ability to talk about how to become an astronaut and life in space ; 3. Instruct students to use functional sentences of the dialogue such as “ first of all, I am not sure, so what might be .. I guess.. I wonder…I am curious…)appropriately.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 become a qualified astronaut and describe the life in space.Part 1: Listening and SpeakingStep 1: Lead inPredictionThe teacher can ask students to predict what the listening text is about by looking at the pictures.About how to become an astronaut./the requirements of an astronautStep 2: Then, play the radio which is about an interview a. And after finishing listening for the first time, the students need to solve the following tasks.
Q4: What is the function of the International exploration ?Having astronauts from different countries on boardQ5: What can you learn from Para 4 ?China has made great achievements in exploring spaceQ6: What is the attitude to the space exploration ?SupportiveStep 6 Post reading---RetellPeople have always wanted to learn more about space. Before the mid-20th century, most people felt (1)_________ (travel) into space was an impossible dream. However, (2)____ the help of scientists, peoplesucceeded in realizing their dream (3) _________ (explore) space. On 4 October 1957, the Sputnik 1 satellite (4) ____________(launch) by the USSR. (5) ________________ scientists try to make sure nothing goes wrong, accidents can still happen. These disasters made everyone(6)___________(disappoint), but people still believe in the importance of (7) ________(carry) on space exploration. In 2003, China became the third country to (8)_____________ (independent) send humans into space. Then Shenzhou 6 and 7 completed (9)____ second manned orbit and the first Chinese spacewalk. In spite of the difficulties, scientists hope future (10)__________ (discovery) will not only enable us to understand the universe but also help us survive well into the future.Answers: 1. travelling 2. with 3. to explore 4. was launched 5. Although6. disappointed 7. carrying 8. independently 9. a 10. discoveriesStep 6 Post reading---Critical thinkingQ1: What do you think of the space exploration ? I think it is beneficial to us. Through further study of space, people will make full use of it in the future, such as the space experiments by Wang Yaping in Tian Gong 1.Q2: If you are determined to be an astronaut, what should you prepare at present ?First of all, I should study hard to get a related college degree. Besides, I must keep mental and physical healthy.Step 7. HomeworkTry to summarize the structure of the article by a mind map.
另一方面,其余的人反对这个计划,因为它可能会导致一些不好的影响。7.I hold the belief that space exploration not only enable us to understand how the universe began but also help us survived well into the future.我坚信探索太空不仅能够使我们了解宇宙的起源而且能够帮助我们更好地走进未来。8.I think we should spend more time and money exploring space so as to provide new and better solutions to people's shortterm and longterm problems.为了给人类的短期和长期问题提供更新和更好的解决方法,我认为我们应该花更多的时间和金钱来探索太空。9.From my point of view,it is wrong of young people to depend on their telephones too much,which may do harm to both their physical and mental health.在我看来,年轻人过度依赖手机是不对的,因为它们可能会对他们的身心健康都有害。最近你班同学就“人类是否应该进行宇宙探索”这个问题进行了激烈的讨论。有人认为,探索宇宙不仅让人类更好地了解宇宙的发展,还可以用来指导农业生产,以及把一些探索太空的高新技术用于现实生活;也有一些人认为探索太空花掉了大量的人力物力;影响了人们的生活水平。请你根据以下情况写一篇报告并发表自己的观点。注意:1.写作内容应包括以上全部要点,可适当发挥,使上下文连贯;
Step 3 Meaning1. 过去将来时表示从过去某一时间来看将要发生的动作或存在的状态, 常用在宾语从句中。一般由“would/should +动词原形”构成。She hoped that they would meet again someday. 她希望将来有一天他们能再见面。2. was/were going to+动词原形: 表示过去将要发生或很有可能发生的动作, 常用于口语中, 表示预言、意图或者打算等。He was going to start work the following week. 他打算下星期开始工作。3. was/were about to do: 常用来表示即将发生的动作, “刚要/正要做……”。注意该结构不与任何时间状语连用。I felt that something terrible was about to happen. 我感到某种可怕的事情即将发生。4.was/were to do: 表示“曾计划做某事”, 如果表示“本来计划做某事, 动作没实现”, 则需用 “was/were to have done”。She said she was to have told me about the accident. 她说她本来想告诉我关于事故的事。5.Start, go, come, leave, see, meet等动词的过去进行时: 表示就过去某一时刻而言即将发生的动作。She was coming later. 她随后就来。I had just put on my overcoat and was leaving to visit a friend of mine. 我刚穿上外套要去看我的一个朋友。
Step 4: Listen again and decide if the following statements are true (T) or false (F).1 It was the first time Chen Liyan's story was reported. T口 F口2 Chen found 10,000 yuan in a small plastic bag in Taiyuan railway station口 F口3 Wang Zheng apologized to Chen because he couldn't offer her more money. T口 F口4 Chen took out a large loan to cure her daughter, T口 F口5 Wang set up a fundraising website for Chen's daughter after Chen told him about her situation. T口 F口Step 5:After listening, discuss the questions.1 What kind of person do you think Chen Liyan is?Chen Liyan is generous and honest because she returned a large sum of money to the owner.2 Did Chen return the money because she didn't need it?No. She returned the money because it was the right thing to do. Evidence for this is that she refused to accept the reward money because she felt that it had not been earned. 3 Is it common for people to do what Chen did?It depends on the culture. In some countries it is quite common to return money that has been found. In other countries, people believe "Finders are keepers!" 4 How did Wang Zheng feel about the return of his money?He must have been very happy and relieved to have gotten his money back. We know this because he thanked Chen repeatedly and even offered her a reward.5 Why did Ma Dongbao tell Wang about Chen's family?He must have had great sympathy for Chen and her daughter and wanted to help them.'We know this because he arranged help for them. 6 How did the news reporter feel about Chen's actions?The news reporter felt that it showed that money wasn't the most important thing in life. We know this because the reporter told us that this is what Chen believes. and then said, “that's a great attitude to take."
Everybody wants to get wealth.In today’s material world,making money or becoming wealthy symbolizes a person’s success and capability. Many people just make every effort, pay any price to attain greater wealth. With money,they can buy nice, large apartments in nice neighborhood. With money they can own luxurious cars. Wealth seems to bring all happiness in life.But is wealth the only road to happiness? Not really. There are many things in the world, which are beyond the means of money, such as friendship, love, health and knowledge. People are so preoccupied with struggling for money that they have no time or would not take the time to form or maintain friendship. What happiness can they feel living as lonely miserable creatures without love or friends in the world even if they accumulate tremendous wealth?In my opinion, people can’t do anything without money, but money is not everything. What money will bring you depends on your personal belief and goal in life. If you are kind enough to help others, especially the poor, money is a good thing to you. With it, you can do much more for the benefit of people and your country, and it will add to your own happiness. If you want money just for your own needs, you’ll never be satisfied or happy. In a word,you should have money spent for more people. Only then can money be the source of your happiness.Step 8 Homework4 students in a group, one acts Roderick, one Oliver, one servant and the fourth one acts Henry Adams, then listen to the tape, pay more attention to the difference between American English and British English in pronunciation, stress, tone.
2. 您能看到, 我头发太长了。You can see that my hair is much too long.3. 无论什么时候, 只要您想回来就回来。Please come back whenever you want.4. 您仅有很少的头发要理! You only have too little hair to cut !5. 为您服务是我的荣幸!It is my honour to serve you!Step 9 Writing(Henry is walking down the street when he sees a sign for a place that cuts hair. He decides to have it cut. )H=Henry B=BarberH: Good afternoon, I’d like to have my hair cut, if I may. (The barber looks at Henry’s hair and continues cutting another man’s hair. ) Er, I’d really like a haircut. As you can see it’s much too long. B: (in a rude manner) Yes, I can see that. Indeed, I can. H: Fine, well, I’ll have a seat then. (He sits in one of the barber’s chairs. The barber turns to look at Henry. )B: It’s quite expensive here, you know! Are you sure you can afford it?H: Yes. I think so. (After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B: Why Mr. . . (looks shocked)H: Adams. Henry Adams. I’m sorry. I don’t have any change. B: Please don’t worry! (wearing a big smile) Nothing to worry about! Nothing at all! Please come back whenever you want, even if you only have too little hair to cut! It will be my honour to serve you!Step 10 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Are all the elements of a play included and in good order ?2. Do the character use suitable language ?3. Are the stage directions clear and useful ?4. Is the plot clear and exciting enough ?
4.That was an experience that frightened everyone. →That was _____________________. 答案:1. taking 2. being discussed 3. in the reading room 4. a frightening experienceStep 6 The meaning and function of V-ing as the predicative动词-ing形式作表语,它通常位于系动词后面,用以说明主语“是什么”或“怎么样”一种表示主语的特质、特征和状态, 其作用相当于形容词; 另一种具体说明主语的内容, 即主语等同于表语, 两者可互换。The music they are playing sounds so exciting. 他们演奏的音乐听起来令人激动。The result is disappointing. 结果令人失望。Our job is playing all kinds of music. 我们的工作就是演奏各种音乐。Seeing is believing. 眼见为实。Step 7 Practice1. It is ________(amaze) that the boy is able to solve the problem so quickly.2. Buying a car is simply _______(waste) money. 3. Please stop making the noise—it’s getting ________(annoy). 4. complete the passage with the appropriate -ing form.La Tomatina is a festival that takes place in the Spanish town Bunol every August. I think many food festivals are __________ because people are just eating. however, this festival is _________ because people don't actually eat the tomatoes. Instead, they throw them at each other! the number of people ________ part in this tomato fight, can reach up to 20,000, and it is a very __________ fight that lasts for a whole hour. The _______ thing is how clean Bunol is after the tomatoes are washed away after the fight. this is because the juice form tomatoes is really good for making surfaces clean!答案:1. amazing 2. wasting 3. annoying4. boring interesting taking exciting amazing
The topic of this part is “Write about your festival experience”.During the Listening and Speaking and Talking, students are just asked to say out their festival experiences such as the Spring Festival, Mid-autumn Day, but this part students will be asked to write down their own festival experiences. During the reading part, it introduces the Naadam Festival in Inner Mongolia Autonomous Region, which can give students a good example to imitate. Students not only learn the festival, but touch and feel the Inner Mongolian’s character, the spirit and cultural atmosphere, which can help students form the cultural awareness and learn to enjoy and value the diversity of Chinese culture.Concretely, the dairy tells the experience that the author spent the Naadam Festival in Inner Mongolia Autonomous Region with his/her friend. The structure is clear. In the opening paragraph, it introduces the topic of the Naadam Festival and the whole feeling. Then it introduces the items of the festival like the ceremony, wrestling and horse racing. Finally, it summarizes this experience. Because this part is a travel journal, we must guide students pay more attention to these details: 1. use the first person. 2. use the past tense to tell the past thing and use the present or future tense to describe the scenery. 3. use the timeline to tell the development. 4. be careful for the author’s psychology, emotion and feeling, etc.1. Read quickly to get main idea; read carefully to get the detailed information about Naadam Festival.2. Learn the structure of the reading article and language.3. Write an article about a festival experience4. Learn to use the psychology, emotions and feeling in the writing.1. Write an article about a festival experience.2. Use the structure of the reading article and language.
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