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新人教版高中英語必修3Unit 2 Morals and Virtues教學設計四
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)容學習，學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)容學習，學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)容學習，學生能否根據(jù)故事的起因、經(jīng)過和結果來深入理解故事的情節(jié)，從而了解文章的層次結構；4、結合現(xiàn)實生活案例發(fā)表自己的見解和看法,寫一篇觀點明確、層次分明的故事評論。
新人教版高中英語必修3Unit 2 Morals and virtues教學設計一
(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)容學習，學生能否理解理解“道德困境”的定義；2、通過本節(jié)內(nèi)容學習，學生能否通過說話人所表達的內(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)容學習，學生能否針對具體的道德困境發(fā)表自己的看法和見解，能否掌握聽力理訓練中的聽力策略。
新人教版高中英語必修3Unit 4 Space Exploration-Discovering Useful Structures導學案
【點津】 1.不定式的復合結構作目的狀語 ,當不定式或不定式短語有自己的執(zhí)行者時，要用不定式的復合結構?即在不定式或不定式短語之前加 for ＋名詞或賓格代詞?作狀語。He opened the door for the children to come in. 他開門讓孩子們進來。目的狀語從句與不定式的轉(zhuǎn)換 英語中的目的狀語從句，還可以變?yōu)椴欢ㄊ交虿欢ㄊ蕉陶Z作狀語，從而使句子在結構上得以簡化?？煞譃閮煞N情況： 1?當目的狀語從句中的主語與主句中的主語相同時，可以直接簡化為不定式或不定式短語作狀語。We'll start early in order that/so that we may arrive in time. →We'll start early in order to/so as to arrive in time. 2?當目的狀語從句中的主語與主句中的主語不相同時，要用動詞不定式的復合結構作狀語。I came early in order that you might read my report before the meeting. →I came early in order for you to read my report before the meeting.
新人教版高中英語選修1Unit 3 Fascinating Parks教案
2. Explore the significance of the establishment of Sarek National Park.Q1: Which event is the most important one in the park’s history?Ss: The establishment of Sarek national park in 1909 is the most important one.Q2: Is it worth making a place like Sarek a national park? Give your reasons.Ss: Yes. In this way, the place can be kept in its natural state and natural beauties and other rare and valuable resources can be preserved instead of being destroyed by endless exploitation driven by profits.Q3: How does the writer organize his introduction to the history of Sarek?Ss: The writer organizes his introduction in the sequence of time, using time indicators such as “used to”, “around 9,000 years ago”, “soon after”, “following the reindeer”, and “in 1909”.Q4: What is the feature of the language used to introduce the history of the park?Ss: The introduction to the park is to provide facts, using time indicators to organize the events. Sentences starts with “third person” and passive voice is used more often, feeling objective.【設計意圖】學生尋找和梳理公園歷史上的重要事件，體會人與自然的和諧關系，評鑒介紹性語言的特點?！竞诵乃仞B(yǎng)提升點】發(fā)展自主提取、梳理文本信息能力，訓練邏輯思維和高階思維。Activity 3: Highlighting the secret of the text
新人教版高中英語選修2Unit 3 Learning about Language教學設計
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
新人教版高中英語選修2Unit 3 Reading for writing教學設計
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.
新人教版高中英語選修2Unit 3 Using langauge-Listening教學設計
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?
新人教版高中英語選修3Unit 1 Art教案
[2] An important breakthrough…was… [3] Another innovation was … [4] the emphasis increasingly shifted from…to… [5] New ideas and values gradually replaced… [6] While his paintings still had religious themes… … T: All these expressions serve to show how Western painting has developed. Some of them share similar structure but with varied use of words, which makes the text vivid and more readable. 【設計意圖】主題類語言整理有助于學生類化語言應用，提高語言輸出的豐富性。處理完文本內(nèi)容信息后，進入語篇信息處理，進行主題相關的詞塊歸類。引導學生快速閱讀，尋找表達相同主題(發(fā)展或者藝術)的詞和短語，再根據(jù)詞性、用法和結構進行歸類，儲備主題相關詞匯，豐富語言儲備，提升語言素養(yǎng)。 Assignment: Go online to gather more information about Chinese painting and write a short history of it. 【設計意圖】結合所學，遷移運用，根據(jù)實際語境，進行模仿性運用。在此過程中，學生嘗試借鑒已學的語言、內(nèi)容、語篇結構和寫作手法來建構新文本，實現(xiàn)語篇輸出，同時關注中西藝術文化的差別，加深對優(yōu)秀文化的認同，培養(yǎng)文化意識。
新人教版高中英語選修3Unit 2 Healthy Lifestyle教案
Activity 4: Figuring out the structure and the writing purpose 本活動為實現(xiàn)課時目標2。 1.Read Paragraph 6 and think about its main idea and the writer’s writing purpose. Q1: If you were the author, how would you end your article? “For young people, there is plenty of time to change bad habits. However, there is no “magic pill” or delete button that will help you; you have to think about your bad habits and decide on some changes. You have the power to build a happy and healthy life full of good habits!” Q2: What is Paragraph 6 mainly about? (Possible answer: to appeal to young people including teenagers to change bad habits and live a happy and healthy life.) 2.Think about the writer’s writing purpose and share opinions. Q1: What is the writing purpose? Work in pairs and figure it out. (Possible answer: On the one hand, the passage is written to help teenagers change their bad habits and live a healthy lifestyle. On the other hand, it provides us with a scientific way to identify and analyse our problems objectively, thus strengthening our resolve to tackle the seemingly common yet tough problems in our lives.) 【設計意圖】 步驟1旨在預測和驗證文章最后一段主要內(nèi)容，梳理完整的語篇結構，步驟2旨在思考和討論作者的寫作目的。教師也可根據(jù)學生課堂反應情況融入對語篇人稱多次轉(zhuǎn)換的思考。
新人教版高中英語選修3Unit 4 Adversity And Courage教案
本活動旨在落實課時目標3。 The Student Union is looking for three students for a 3-week voluntary program in Guizhou province. The volunteers have got to be high school students, with a persevering personality and experiences in overcoming adversity. The volunteers need to stay, eat and teach with 20 pupils in a small school up on the hill of a village. There are no facilities but desks and a blackboard in the school. And there is no take-away food to be bought anywhere; the only way to feed yourself is to cook. You’re interested in applying. Write your application letter introducing what adversity you have ever overcome and how persevering you are as well as what you want to do when at work. Dear Student Union,【設計意圖】此任務旨在遷移一、二課時所學，解決實際問題。學生對比自己經(jīng)歷過的挑戰(zhàn)或挫折，寫信給學生會申請前往貴州擔任短期支教教師，把個人以前是怎么戰(zhàn)勝挫折的經(jīng)過書寫出來。結合所學，遷移創(chuàng)新，分析解決自身實際問題，在真實情境中學生通過仿寫進行主題語言的精確輸出。完成任務的過程中，能較多地使用已學語言、內(nèi)容、結構和寫作手法來描述自己面對挫折的處理方式、態(tài)度和應有的品質(zhì)，近一步激發(fā)學生樹立正確的價值觀，學會逆境出人才，堅忍不拔，從容不迫，又做到謙讓、分享和合作。課后學生修正習作，再次提交。
新人教版高中英語選修3Unit 5 Poems教案
本單元閱讀文本介紹了幾種簡單的英語詩歌形式，旨在讓學生能理解和欣賞英語詩歌的美，包括形式美、內(nèi)容美、意義美，培養(yǎng)審美情趣，并從作品的意義美中獲得積極的人生態(tài)度和價值觀念啟示。 該文本是一則典型的說明性文本，用簡單易懂的語言向英語詩歌的初學者們介紹了五種比較簡單的英語詩歌形式。文題“A Few Simple Forms of English Poems”是整個文本的核心話題。正文內(nèi)容共七段，按“總—分—總”建構。第一段為總起段，概述了英語詩歌的創(chuàng)作原因以及主要特點，涉及了形式、內(nèi)容、意義等方面賞析英語詩歌的幾個主要維度；第二段至第六段分別介紹了童謠、清單詩、五行詩、俳句和唐詩五種英語詩歌形式；第七段收尾，鼓勵讀者嘗試英語詩歌創(chuàng)作。 在進行文本教學設計時，要引導學生梳理關于與詩歌要素和詩歌賞析有關的話題類語言，既包括format、rhythm、subject、image等名詞，也包括have a strong rhythm、be made up of、contain、consist of、convey這樣的動詞和動詞短語。
新人教版高中英語選修4Unit 3 Reaching Out Across the Sea教案
本活動旨在落實課時目標3。 Think about the following questions and talk about your own attitude in pairs.Q1: As for this topic，what impresses you the most in the passage?Q2: What do you think of the future of China’s further exploration in sea? Are you in favor of the further exploration？Why or why not? 【設計意圖】該活動是一個完全開放性的活動，每個學生都會有不同的答案。運用遷移所學，自由口頭表達自己對海洋探索的態(tài)度。對于中國海洋探索的未來，每個人的想法是不一樣的，有樂觀，有擔憂，有認為值得投入，也有認為不值得付出太大代價，這里給學生自由表達的空間只要學會有支撐自己觀點的事實就可以了，進一步培養(yǎng)學生批判性思維和正確的價值觀。 Assignment: 此任務旨在遷移一、二課時所學，培養(yǎng)學生辯證分析問題的能力。 Write about your idea of the future of China’s sea exploration. And add your attitude towards the effort China have made in sea exploration. You’re expected to use the language and the writing technique learnt in the passage.
人教版高中地理必修3產(chǎn)業(yè)轉(zhuǎn)移教案
1．國家石油價格上漲，導致依賴于國際石油而建立起來的日本重化工業(yè)的制造成本提高，產(chǎn)品價格相應提高，削弱了日本重化工產(chǎn)品在國際市場上的競爭力。2．日元 的大幅度升值，意味著日本產(chǎn)品在國際市場上的價格大幅度提高。例如，同樣的日本產(chǎn)品，如果原來在國際市場上賣1美元，日元升值1倍后其在國際市場上的售價就達2美元。所以，以國際市場為依托的日本傳統(tǒng)產(chǎn)業(yè)只好紛紛向海外轉(zhuǎn)移。3．自身市場滿足不了發(fā)展需求，國際市場上亞洲發(fā)展中國家和地區(qū)的同類產(chǎn)品具有明顯的價格優(yōu)勢。所以，日本企業(yè)在其國內(nèi)發(fā)展的空間很小。4．勞動力價格高反映為產(chǎn)品的價格高，而勞動力數(shù)量又滿足 不了企業(yè)進一步擴展對勞動力的需求。所以，日本從事傳統(tǒng)產(chǎn)業(yè)的國內(nèi)企業(yè)生產(chǎn)受勞動力價格和數(shù)量的雙重制約。5．促進日本企業(yè)生產(chǎn)的區(qū)位選擇向國土的南、北部和海外擴展。6．“技術立國”的政策明顯對傳統(tǒng)產(chǎn)業(yè)在國內(nèi)生產(chǎn)不利，即企業(yè)生產(chǎn)要么向知識技術密集型轉(zhuǎn)換（這需要大量的投資），要么轉(zhuǎn)向海外。
人教版高中地理必修3區(qū)域農(nóng)業(yè)發(fā)展教案
1．歸納珠江三角洲發(fā)展基塘生產(chǎn)有利的地理條件。珠江三角洲地勢低平，河網(wǎng)密布，降水充沛。北回歸線從珠江三角洲的北部穿過。珠江三角洲地區(qū)發(fā)展基塘農(nóng)業(yè)生產(chǎn)有利條件可以結合材料，歸納為三個方面：地形、氣候、市場（當?shù)睾秃Ｍ猓?．基塘生產(chǎn)將哪些產(chǎn)業(yè)聯(lián)系起來?哪些副產(chǎn)品(或廢棄物)被充分利用起來?這種聯(lián)系對農(nóng)村經(jīng)濟發(fā)展有什么作用?基塘生產(chǎn)環(huán)節(jié)將種植業(yè)（桑、蔗等）、養(yǎng)殖業(yè)（養(yǎng)蠶、養(yǎng)魚）、工業(yè)（絲廠、糖廠）等幾種產(chǎn)業(yè)緊密的聯(lián)系在一起。在此環(huán)節(jié)中，塘泥、蠶沙（蠶屎）、蠶蛹、繅絲、濾泥、蔗葉等副產(chǎn)品被充分的回收利用。養(yǎng)蠶業(yè)、蔗糖加工業(yè)同塘魚養(yǎng)殖業(yè)緊密結合，作為一種綜合的經(jīng)營，幾者之間相互依存、相互促進、揚長補短，有機地循環(huán)聯(lián)系起來?；旧辖鉀Q了桑、蔗的肥料和蠶、魚的飼料問題。不僅養(yǎng)蠶、蔗糖加工和養(yǎng)魚生產(chǎn)穩(wěn)定，而且成本也大大降低。
人教版高中地理必修3森林的開發(fā)和保護教案
角色扮演：學生扮演政府官員、熱帶叢林土著居民、 世界環(huán)保組織官員、開發(fā)商等角色，從角色的立場討論亞馬孫河流域熱帶雨林的開發(fā)活動規(guī)則: 每個小組認領一種角色，用5分鐘的時間討論和整理思路，然后推薦一位代表做中心發(fā)言，小組的其他同學可以隨時補充。發(fā)言時請說 明所扮演的角色，盡可能多的發(fā)表建設性意見。如果需要，可以上臺展示材料【學生互動】 風云辯論：雨林破壞誰之錯?正方觀點：雨林破壞，亞馬孫地區(qū) 的國家和 居民應負主要責任反方觀點: 雨林破壞，發(fā)達國家應負主要責任 【師生小結】 雨林的開發(fā)，既有發(fā)展中國家經(jīng)濟的需要，也有發(fā)達國家國際市場的牽動。保護雨林，是全人類的共同責任，尤其發(fā)達國家應該承擔更多的責任。保護亞馬遜雨林符合長遠利益和全球利益。但這與雨林所在地國家的發(fā)展產(chǎn)生了矛盾，如何解決之一矛盾是雨林開發(fā)與保護的關鍵?！具^渡承轉(zhuǎn)】 綠色和平組織警告說，如果不采取有效措施制止對森林的破壞，80年內(nèi)熱帶雨林可能完全從地球上消失。開發(fā)還是保護?這是雨林的兩種前途，也
人教版高中地理必修3荒漠化的防治教案
1．薩赫勒地區(qū)位于撤哈拉沙漠的南緣。請根據(jù)下面的圖文資料，并聯(lián)系已學知識，分析薩赫勒地區(qū)的氣候等自然特征，并說明荒漠化的潛在自然因素。點撥：資料表明薩林勒地區(qū)正處于干旱與半干旱、熱帶沙漠與熱帶草原的過渡地帶；津德爾是其中有代表性的居民點，其月均溫都在22℃以上，甚至達到33℃，可想而知其蒸發(fā)量是巨大的。在降水方面，這里的年降水量不足500毫米，且基本集中在夏季，特別是7、8兩個月。以其有限的而且特別集中的降水狀況與其全年的高溫、高蒸發(fā)量相比，確實是個容易產(chǎn)生環(huán)境問題的敏感地區(qū)。客觀上，這里就潛在著荒漠化的自然因素，這是本地區(qū)的地理位置和當?shù)氐乃疅釛l件所決定的。2．氣候的嚴酷性決定了薩赫勒地區(qū)的傳統(tǒng)經(jīng)濟以自給性質(zhì)的游牧業(yè)為主。20世紀以來，隨著沿岸國家人口和經(jīng)濟的發(fā)展及本區(qū)交通條件的改善，這里的傳統(tǒng)游牧經(jīng)濟向商品性的定居牧業(yè)經(jīng)濟轉(zhuǎn)化。
人教版高中地理必修3能源資源的開發(fā)教案
知識與技 能 1、了解能源資源開發(fā)與區(qū)域可持續(xù)發(fā)展的關系。2、理解能源資源開發(fā)的條件。3、了解山西省能源基地建設的成就。4、理解山西省構筑三條產(chǎn) 業(yè)鏈的資源條件及意義。5、理解山西省 產(chǎn)業(yè)結構調(diào)整與能源的綜合利用與環(huán)境保護治理的關系。6、了解科技創(chuàng)新是山西省經(jīng)濟發(fā)展的先決條件。7、理解山西省工礦區(qū)生態(tài)環(huán)境建設模式，學會知識遷移，為我國其它工礦區(qū)生態(tài)環(huán)境建設出謀劃策。過程與方法 1、通過閱讀圖表、資料，分析能源資源開發(fā)的條件及能源基地建設的成就。2、通過師生交流討論，培養(yǎng)學生良好的地理思維能力。情感態(tài)度與價值觀1、能源工業(yè)是發(fā)展國民經(jīng)濟的基 礎，我國把能源工業(yè)放在戰(zhàn)略重點的首位，急需科技人才為能源工業(yè)出謀劃策，使學生深知肩負的重任，同時學會一分為二的看待能源基地的建 設成就，力求能源基地的建設能有新的突破。
人教版高中地理必修3區(qū)域工業(yè)化與城市化教案
知識和技能 1、 了解區(qū)域工業(yè)化和城市化之間的關系，以及它們對區(qū)域社會經(jīng)濟發(fā)展所起的作用 。2、分析導致珠江三角洲工業(yè)化和城市化快速推進的諸多思想束縛，并通過比較，認識到對外開放政策是其中的關鍵因素。3、 比較珠江三角 洲的 區(qū)工業(yè)化進程的兩個主要階段，歸納出不同時期的主要發(fā)展特點，并能夠結合具體案例分析工業(yè)化進程對城市化的巨大推動。 4、分析珠江三角洲地區(qū)工業(yè)化和城市化進程中的問題，并嘗試評價目前的一些調(diào)整措施和發(fā)展方向。5、通過分析我國珠江三角 洲地區(qū)工 業(yè)化、城市化的發(fā)展階段、問題與對策，了解區(qū)域工業(yè)化和城市化的推進動力和發(fā)展規(guī)律。過程與方法 利用扮演不同的社會角色來談對珠江三角洲地區(qū)未來經(jīng)濟和城鎮(zhèn)發(fā)展的設想和建議，反饋學生知識、能力、價值觀發(fā)展情況和效果， 培養(yǎng)學生對所學所得的運用能力，并為學生的創(chuàng)新精神的發(fā) 展營造有利氛圍。情感、態(tài)度與價值觀1、通過鼓勵學生主動獲 取資料的做法，關注學生實踐能力、綜合思維能力及終身學習能力的訓練。
人教版高中數(shù)學選修3排列與排列數(shù)教學設計
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).
人教版高中數(shù)學選修3超幾何分布教學設計
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抽取4件．設抽取的4件產(chǎn)品中次品數(shù)為X，求隨機變量X的分布列.（1）：采用有放回抽樣，隨機變量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，且各次抽樣的結果相互獨立,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}，則稱隨機變量X服從超幾何分布．