
(二)學(xué)習(xí)制作降落傘。 (三)學(xué)習(xí)目測相同長度的線條。 二、活動準(zhǔn)備 多媒體課件、塑料紙、線、橡皮泥、雙面膠 三、活動過程 (一)運(yùn)用多媒體介紹不同種類的傘和構(gòu)造,導(dǎo)入:“今天,們邀請我們?nèi)ニ麄兗易隹停∨笥岩屑?xì)看看有哪幾種傘,傘寶寶傘由哪幾個部分組成呢?”(工藝傘、折疊傘、長柄傘、卡通傘) (二)引導(dǎo)幼兒認(rèn)識降落傘,播放在哭泣的降落傘聲音,請小朋友幫助把它送回家,展示圖片將傘和降落傘從外型、用途進(jìn)行比較。 提問:傘由哪幾個部分組成(傘骨、傘面、傘柄) 降落傘的傘骨、傘面、傘柄在哪,請小朋友找出來。 降落傘有傘骨嗎?與傘的傘骨一樣?為什么? 降落傘有哪些本領(lǐng)?(保護(hù)自身安全、極限運(yùn)動、特技表演) 為什么降落傘能從空中降落下來,我們小朋友用的傘可以降落下來嗎?

2、能掌握正確使用剪刀的方法。3、能大膽地設(shè)計手套的圖案,體現(xiàn)出圖案帶來的美感。準(zhǔn)備:1、每人一張白色的信封。2、用信封制作出的手套幾幅。3、油畫棒、小剪刀每人一套。過程:1、引導(dǎo)制作手套的興趣。(1)做手指游戲。(小朋友們大家好,我們來做一個手指游戲,請小朋友和老師一樣伸出你的小手,和老師一起做.大拇指是爸爸,爸爸開汽車,嘀嘀嘀。爸爸旁邊是媽媽,媽媽洗衣服,嘩嘩嘩。個子最高是哥哥,哥哥打籃球,嘭嘭嘭。哥哥旁邊是姐姐,姐姐在跳舞,啦啦啦。小小手指就是我,我在敲鑼鼓,咚咚咚,鏘鏘鏘, ,咚咚咚,鏘鏘鏘, ,咚鏘、咚鏘、咚咚鏘。

①闡發(fā)話題式:就是用簡練的語言對所給話題材料加以概括和濃縮,并找到一個最佳切入點(diǎn)加以深層次闡述。吉林一考生的滿分作文《漫談“感情”“認(rèn)知”》的題記是:“同是對‘修墻’‘防盜’的預(yù)見,卻產(chǎn)生‘聰明’或‘被懷疑’的結(jié)果?!星椤鼓苋绱说刈笥抑J(rèn)知’,心的小舟啊,在文化的河流中求索?!边@個題記通過對材料的簡單解釋,將“感情”與“認(rèn)知”二者的關(guān)系詮釋得非常明白,也點(diǎn)明了作者的態(tài)度和議論的中心。②詮釋題目式:所擬題目一般都具有深刻性特點(diǎn),運(yùn)用題記形式對題目進(jìn)行巧妙而又全面的詮釋。云南一考生的滿分作文《與你同行》的題記是:“他們一路同行,一個汲著水,一個負(fù)著火,形影相隨。在他們攜手共進(jìn)時,就產(chǎn)生了智慧。”這個題記形象而深刻地對“與你同行”這個題目進(jìn)行了解釋,言簡意賅,表明了考生對感情和理智關(guān)系的認(rèn)識。

2、確立教育優(yōu)先發(fā)展地位,提出“科教興國”戰(zhàn)略:①提出“三個面向”指導(dǎo)方針;(即教育要面向現(xiàn)代化,面向世界,面向未來)1983年,當(dāng)我們國家的改革開放處在起步階段時,鄧小平同志以歷史的眼光,從戰(zhàn)略的高度,為北京景山學(xué)校題詞:“教育要面向現(xiàn)代化,面向世界,面向未來?!倍嗄陙?,這“三個面向”的題詞所蘊(yùn)含的深刻的教育理念,已經(jīng)成為中國教育改革與發(fā)展的指針,“三個面向”的思想,已經(jīng)深入人心;成為我們教育改革的旗幟和靈魂。②改革教育制度,基礎(chǔ)、中等和高等教育全面發(fā)展;基礎(chǔ)教育——普及九年義務(wù)教育,制定《義務(wù)教育法》(2006年)中等教育——實行普通教育與職業(yè)教育并舉;高等教育——增設(shè)邊緣學(xué)科,建立學(xué)位制,擴(kuò)大自主權(quán)③實施發(fā)展高等教育的“211工程”計劃;211工程"就是面向21世紀(jì),重點(diǎn)建設(shè)100所左右的高等學(xué)校和一批重點(diǎn)學(xué)科點(diǎn)。

第一條 本合同簽訂依據(jù)1.1《中華人民共和國合同法》、《中華人民共和國城市規(guī)劃法》、《建設(shè)工程勘察設(shè)計市場管理規(guī)定》、《遼寧省城市規(guī)劃設(shè)計行業(yè)收費(fèi)標(biāo)準(zhǔn)》和《工程設(shè)計收費(fèi)標(biāo)準(zhǔn)》。1.2國家及地方有關(guān)規(guī)劃設(shè)計管理法規(guī)和規(guī)章。1.3規(guī)劃項目批準(zhǔn)文件1.4其他:第二條 設(shè)計依據(jù)2.1委托方給設(shè)計方的委托書或設(shè)計中標(biāo)文件2.2委托方提交的基礎(chǔ)資料2.3設(shè)計方采用的主要技術(shù)標(biāo)準(zhǔn)是:□《城市規(guī)劃編制辦法實施細(xì)則》□《城市用地分類與規(guī)劃建設(shè)用地標(biāo)準(zhǔn)》(GBJ137-90)□《村鎮(zhèn)規(guī)劃標(biāo)準(zhǔn)》(GB50188-93)□《城市居住區(qū)規(guī)劃設(shè)計規(guī)范》(GB50180-93)□《城市道路交通規(guī)劃設(shè)計規(guī)范》(GB50220-95)其 他:第三條 合同文件的優(yōu)先次序構(gòu)成本合同的文件可視為是能互相說明的,如果合同文件存在歧義或不一致,則根據(jù)如下優(yōu)先次序來判斷:3.1合同書3.2中標(biāo)函(文件)3.3委托方要求及委托書3.4投標(biāo)書第四條 本合同項目的名稱、規(guī)模、階段及設(shè)計內(nèi)容(根據(jù)行業(yè)特點(diǎn)填寫)名 稱 :規(guī) 模 :□ 用地 □ 人口 □ 其他階 段 :□ 區(qū)域規(guī)劃 □ 總體規(guī)劃 □ 分區(qū)規(guī)劃 □ 控制性詳細(xì)規(guī)劃 □ 修建性詳細(xì)規(guī)劃 □ 專項規(guī)劃 □ 其他設(shè)計內(nèi)容:

2、學(xué)校的中層和副職領(lǐng)導(dǎo)外出必須向校長請假;面上小學(xué)校長外出一個星期內(nèi)報中心小學(xué)校長審批;超一周由中心小學(xué)校長提意見報區(qū)教育局審批。 3、學(xué)校教職工外出、病、事假應(yīng)向校長請假。各校應(yīng)完善學(xué)校管理工作,健全管理制度,制定本校請假制度,做好教職工的考勤管理,使教職工明確請假規(guī)定和有關(guān)待遇,做到有章可循,有法可依?! ?、各校請假工作應(yīng)做到有學(xué)校班子專人負(fù)責(zé),及時登記并定期公布,并將其作為教職工的年度考核、任職考核、兌現(xiàn)各項福利待遇和獎勵的依據(jù)。

Step 4 PracticeRead the conversation. Find out which words have been left out.Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Any recommendations for places to visit?Linlin: Wow, cool! Guizhou is a province with a lot of cultural diversity. Places to visit...well, definitely the Huangguoshu Waterfall first.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have. Why ?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King.Justin: Really? Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages. You’ll find Chinese culture is much more diverse than you thought.Justin:Sounds great, thanks.Answers:Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Do you have any recommendations for places to visit?Linlin: Wow, that’s cool! Guizhou is a province with a lot of cultural diversity. What are some places to visit in Guizhou ? Well, definitely the Huangguoshu Waterfall is the first place to visit in Guizhou Province.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have heard of the Chinese novel Journey to the West . Why do you ask if I have heard of the Chinese novel Journey to the West?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King from Journey to the West.Justin: That’s really true? It’s Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages on your trip to Guizhou Province. You’ll find Chinese culture is much more diverse than you thought it was.Justin:This all sounds great, thanks.

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.

1. In Picture 1 and Picture 2, where do you think they are from? How do you know?From their wearings, we can know they are from ethnic minority of China--- Miao and Dong.Picture 1, they are playing their traditional instrument lusheng in their traditional costumes.Picture 2. the girls are Miao because they wear their traditional costumes and silver accessory.2. In Picture 3, can you find which village it is? What time is it in the picture?It is Dong village. It is at night. Step 2 While-listeningJustin met a new friend while traveling in Guizhou. Listen to their conversation and complete the summaries below.Part 1Justin and Wu Yue watched some Miao people play the lusheng. The instrument has a history of over 3,000 years and it is even mentioned in the oldest collection of Chinese poetry. Then they watched the lusheng dance. Justin wanted to buy some hand-made silver/traditional accessories as souvenirs. He was told that the price will depend on the percentage of silver. Part 2They will go to a pretty Dong minority village called Zhaoxing. they will see the drum towers and the wind and rain bridges. They may also see a performance of the Grand Song of the Dong people.Step 3 Post-listening---TalkingWork in groups. Imagine Justin is telling some friends about his trip to Guizhou. One of you is Justin and the rest of you are his friends. Ask Justin questions about his trip and experience. The following expressions may help you.

Discuss these questions in groups.Q1: Have you ever been to a place that has a diverse culture ? What do you think about the culture diversity ?One culturally diverse place that I have been to is Harbin, the capital city of Heilongjiang Province. I went there last year with my family to see the Ice and Snow Festival, and I was amazed at how the culture as different to most other Chinese cities. There is a big Russian influence there, with beautiful Russian architecture and lots of interesting restaurants. I learnt that Harbin is called “the Oriental Moscow” and that many Russians settled there to help build the railway over 100 years ago.Q2: What are the benefits and challenges of cultural diversity ?The benefits: People are able to experience a wide variety of cultures, making their lives more interesting, and it can deepen the feelings for our national culture, it is also helpful for us to learn about other outstanding culture, which helps improve the ability to respect others. The challenges: People may have trouble communicating or understanding each other, and it may lead to disappearance of some civilizations and even make some people think “The western moon is rounder than his own.”Step 7 Post reading---RetellComplete the passage according to the text.Today, I arrived back in San Francisco, and it feels good (1) _____(be) back in the city again. The city succeeded in (2)_________ (rebuild) itself after the earthquake that (3)________ (occur) in 1906, and I stayed in the Mission District, enjoying some delicious noodles mixed with cultures. In the afternoon, I headed to a local museum (4)____ showed the historical changes in California. During the gold rush, many Chinese arrived, and some opened up shops and restaurants in Chinatown to earn a (5)_____ (live). Many others worked on (6)______ (farm), joined the gold rush, or went to build the railway that connected California to the east. The museum showed us (7)____ America was built by immigrants from (8)________ (difference) countries and cultures. In the evening, I went to Chinatown, and ate in a Cantonese restaurant that served food on (9)________(beauty) china plates. Tomorrow evening, I’m going to (10)__ jazz bar in the Richmond District. 答案:1. to be 2. rebuilding 3. occurred 4. that 5.living6. farms 7.how 8. different 9. beautiful 10. a

創(chuàng)設(shè)情境,導(dǎo)入新課:你對母親知多少師問1:我們5月份剛過了一個重要的節(jié)日,你知道是什么嗎?----母親節(jié)。師問2:那你知道媽媽的生日嗎?(舉手示意),每個媽媽都知道自己孩子的生日,請不知道的同學(xué)回家了解一下,多關(guān)心一下自己的父母。師問3:那你知道媽媽最愛吃的菜嗎?你可以選擇知道、不知道或者是沒有愛吃的(拖動白板上相對應(yīng)的表情符號)。請大家用不同的手勢表示出來。我找3名同學(xué)統(tǒng)計各組的數(shù)據(jù),寫在黑板上(隨機(jī)找3名學(xué)生數(shù)人數(shù))。下面我來隨機(jī)采訪一下:你媽媽最喜歡吃的菜是什么?(教師隨機(jī)采訪,結(jié)合營養(yǎng)搭配和感恩教育)

*wide range of origins(= a great number of different origins, many kinds of origins)*It featured a parade and a great feast with music, dancing, and sports. (=A parade and a great feast with music, dancing, and sports were included as important parts of the Egyptian harvest festival.)*.. some traditions may fade away and others may be established.(= Some traditions may disappear gradually, while other new traditions may come into being.)Step 6 Practice(1) Listen and follow the tape.The teacher may remind the students to pay attention to the meaning and usage of the black words in the context, so as to prepare for the completion of the blanks in activity 5 and vocabulary exercises in the exercise book.(2) Students complete the text of activity 5 by themselves.The teacher needs to remind the students to fill in the blanks with the correct form of the vocabulary they have learned in the text.Students exchange their answers with their partners, and then teachers and students check their answers.(3)Finish the Ex in Activity 5 of students’ book.Step 7 Homework1. Read the text again, in-depth understanding of the text;2. Discuss the origin of festivals, the historical changes of related customs, the influence of commercial society on festivals and the connotation and essential meaning of festivals.3. Complete relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否結(jié)合文本特點(diǎn)快速而準(zhǔn)確地找到主題句;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否理清論說文的語篇結(jié)構(gòu)和文本邏輯,了解節(jié)日風(fēng)俗發(fā)展與變遷,感悟節(jié)日的內(nèi)涵與意義。

3.Teachers ask different groups to report the answers to the questions and ask them to try different sentence patterns.The teacher added some sentence patterns for students to refer to when writing.Step 4 Writing taskActivity 51.Write the first draft.Students first review the evaluation criteria in activity 5, and then independently complete the draft according to the outline of activity 4, the answers to the questions listed in the group discussion and report, and the reference sentence pattern.2.Change partners.The teacher guides the students to evaluate their partner's composition according to the checklist of activity 5 and proposes Suggestions for modification.3.Finalize the draft.Based on the peer evaluation, students revise their own compositions and determine the final draft.Finally, through group recommendation, the teacher selects excellent compositions for projection display or reading aloud in class, and gives comments and Suggestions.Step 5 Showing writingActivity 5T call some Ss to share their writing.Step 6 Homework1. Read the passage in this section to better understand the passage.2. Carefully understand the hierarchical structure of the article, and deeply understand the plot of the story according to the causes, process and results;3. Independently complete the relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否通過人物言行的對比分析道德故事的深層內(nèi)涵;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否根據(jù)故事的起因、經(jīng)過和結(jié)果來深入理解故事的情節(jié),從而了解文章的層次結(jié)構(gòu);4、結(jié)合現(xiàn)實生活案例發(fā)表自己的見解和看法,寫一篇觀點(diǎn)明確、層次分明的故事評論。

(2) students are divided into groups according to the requirements of activity 3. Each student shares a story of personal experience or hearing-witnessing kindness, and then selects the most touching story in the group and shares it with the whole class. Before the students share the story, the teacher can instruct them to use the words and sentence patterns in the box to express. For example, the words in the box can be classified:Time order: first of all, then, after that, later, finally logical relationship :so, however, although, butTeachers can also appropriately add some transitional language to enrich students' expression:Afterwards, afterwards, at last, in the end, eventuallySpatial order: next to, far from, on the left, in front ofOtherwise, nevertheless, as a result, therefore, furthermore, in addition, as well asSummary: in a word, in short, on the whole, to sum up, in briefStep 8 Homework1. Understand the definition of "moral dilemma" and establish a correct moral view;2. Accumulate vocabulary about attitudes and emotions in listening texts and use them to express your own views;3. Complete relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否理解理解“道德困境”的定義;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否通過說話人所表達(dá)的內(nèi)容、說話的語氣、語調(diào)等來判斷其態(tài)度和情緒;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否針對具體的道德困境發(fā)表自己的看法和見解,能否掌握聽力理訓(xùn)練中的聽力策略。

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

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.

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?

4.有8種不同的菜種,任選4種種在不同土質(zhì)的4塊地里,有 種不同的種法. 解析:將4塊不同土質(zhì)的地看作4個不同的位置,從8種不同的菜種中任選4種種在4塊不同土質(zhì)的地里,則本題即為從8個不同元素中任選4個元素的排列問題,所以不同的種法共有A_8^4 =8×7×6×5=1 680(種).答案:1 6805.用1、2、3、4、5、6、7這7個數(shù)字組成沒有重復(fù)數(shù)字的四位數(shù).(1)這些四位數(shù)中偶數(shù)有多少個?能被5整除的有多少個?(2)這些四位數(shù)中大于6 500的有多少個?解:(1)偶數(shù)的個位數(shù)只能是2、4、6,有A_3^1種排法,其他位上有A_6^3種排法,由分步乘法計數(shù)原理,知共有四位偶數(shù)A_3^1·A_6^3=360(個);能被5整除的數(shù)個位必須是5,故有A_6^3=120(個).(2)最高位上是7時大于6 500,有A_6^3種,最高位上是6時,百位上只能是7或5,故有2×A_5^2種.由分類加法計數(shù)原理知,這些四位數(shù)中大于6 500的共有A_6^3+2×A_5^2=160(個).

探究新知問題1:已知100件產(chǎn)品中有8件次品,現(xiàn)從中采用有放回方式隨機(jī)抽取4件.設(shè)抽取的4件產(chǎn)品中次品數(shù)為X,求隨機(jī)變量X的分布列.(1):采用有放回抽樣,隨機(jī)變量X服從二項分布嗎?采用有放回抽樣,則每次抽到次品的概率為0.08,且各次抽樣的結(jié)果相互獨(dú)立,此時X服從二項分布,即X~B(4,0.08).(2):如果采用不放回抽樣,抽取的4件產(chǎn)品中次品數(shù)X服從二項分布嗎?若不服從,那么X的分布列是什么?不服從,根據(jù)古典概型求X的分布列.解:從100件產(chǎn)品中任取4件有 C_100^4 種不同的取法,從100件產(chǎn)品中任取4件,次品數(shù)X可能取0,1,2,3,4.恰有k件次品的取法有C_8^k C_92^(4-k)種.一般地,假設(shè)一批產(chǎn)品共有N件,其中有M件次品.從N件產(chǎn)品中隨機(jī)抽取n件(不放回),用X表示抽取的n件產(chǎn)品中的次品數(shù),則X的分布列為P(X=k)=CkM Cn-kN-M CnN ,k=m,m+1,m+2,…,r.其中n,N,M∈N*,M≤N,n≤N,m=max{0,n-N+M},r=min{n,M},則稱隨機(jī)變量X服從超幾何分布.

二項式定理形式上的特點(diǎn)(1)二項展開式有n+1項,而不是n項.(2)二項式系數(shù)都是C_n^k(k=0,1,2,…,n),它與二項展開式中某一項的系數(shù)不一定相等.(3)二項展開式中的二項式系數(shù)的和等于2n,即C_n^0+C_n^1+C_n^2+…+C_n^n=2n.(4)在排列方式上,按照字母a的降冪排列,從第一項起,次數(shù)由n次逐項減少1次直到0次,同時字母b按升冪排列,次數(shù)由0次逐項增加1次直到n次.1.判斷(正確的打“√”,錯誤的打“×”)(1)(a+b)n展開式中共有n項. ( )(2)在公式中,交換a,b的順序?qū)Ω黜棝]有影響. ( )(3)Cknan-kbk是(a+b)n展開式中的第k項. ( )(4)(a-b)n與(a+b)n的二項式展開式的二項式系數(shù)相同. ( )[解析] (1)× 因為(a+b)n展開式中共有n+1項.(2)× 因為二項式的第k+1項Cknan-kbk和(b+a)n的展開式的第k+1項Cknbn-kak是不同的,其中的a,b是不能隨便交換的.(3)× 因為Cknan-kbk是(a+b)n展開式中的第k+1項.(4)√ 因為(a-b)n與(a+b)n的二項式展開式的二項式系數(shù)都是Crn.[答案] (1)× (2)× (3)× (4)√
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