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新人教版高中英語(yǔ)選修2Unit 4 Reading for writing教學(xué)設(shè)計(jì)
假定你是英國(guó)的Jack，打算來(lái)中國(guó)旅行，請(qǐng)你給你的中國(guó)筆友李華寫一封信，要點(diǎn)如下：1．你的旅行計(jì)劃：北京→泰山→杭州；2．征求建議并詢問(wèn)他是否愿意充當(dāng)你的導(dǎo)游。注意：1.詞數(shù)80左右(開(kāi)頭和結(jié)尾已給出，不計(jì)入總詞數(shù))；2．可以適當(dāng)增加細(xì)節(jié)，以使行文連貫。參考詞匯：故宮 the Forbidden City；泰山 Mount TaiDear Li Hua，I'm glad to tell you that 'm going to visit China.First，I am planning to visit Beijing，the capitalof China，where I am looking forward to enjoying the Great Wall，the Forbidden City and somebeautiful parks.Then I intend to go to visit Mount Tai in Shandong Province.I've heard that it is one ofthe most famous mountains in China and I can't wait to enjoy the amazing sunrise there.After that，I amalso going to Hangzhou.It is said that it is a beautiful modern city with breathtaking natural sights，among which the West Lake is a well- known tourist attraction.What do you think of my travel plan? Will you act as my guide? Hope to hear from you soon.
新人教版高中英語(yǔ)選修2Unit 4 Using langauge-Listening教學(xué)設(shè)計(jì)
The theme of the listening section is " talking about scenery and culture along a journey."The part is designed to further lead the students to understand Canadian natural geography and social environment, and integrated into the cultural contrast by mentioning the long train journey from Beijing to Moscow routes. On this basis, the part activates students related travel experience, lets the student serial dialogue, guides the student to explore further the pleasure and meaning of the long journey, and Chinese and foreign cultural comparison.The part also provides a framework for the continuation of the dialogue, which is designed to provide a framework for students to successfully complete their oral expressions, and to incorporate an important trading strategy to end the dialogue naturally.1. Help students to understand and master some common English idioms in the context, and experience the expression effect of English idioms.2. Guide the students to understand the identity of different people in the listening context, and finish the dialogue according to their own experience.3. Instruct the students to use appropriate language to express surprise and curiosity about space and place in the dialogue, and master the oral strategy of ending the dialogue naturally.1. Instruct students to grasp the key information and important details of the dialogue.2. Instruct students to conduct a similar talk on the relevant topic.
新人教版高中英語(yǔ)選修2Unit 5 Learning about Language教學(xué)設(shè)計(jì)
The purpose of this section of vocabulary exercises is to consolidate the key words in the first part of the reading text, let the students write the words according to the English definition, and focus on the detection of the meaning and spelling of the new words. The teaching design includes use English definition to explain words, which is conducive to improving students' interest in vocabulary learning, cultivating their sense of English language and thinking in English, and making students willing to use this method to better grasp the meaning of words, expand their vocabulary, and improve their ability of vocabulary application. Besides, the design offers more context including sentences and short passage for students to practice words flexibly.1. Guide students to understand and consolidate the meaning and usage of the vocabulary in the context, 2. Guide the students to use the unit topic vocabulary in a richer context3. Let the students sort out and accumulate the accumulated vocabulary, establishes the semantic connection between the vocabulary,4. Enable students to understand and master the vocabulary more effectivelyGuiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Read the passage about chemical burns and fill in the blanks with the correct forms of the words in the box.
新人教版高中英語(yǔ)選修2Unit 5 Reading and thinking教學(xué)設(shè)計(jì)
The theme of this activity is to learn the first aid knowledge of burns. Burns is common in life, but there are some misunderstandings in manual treatment. This activity provides students with correct first aid methods, so as not to take them for granted in an emergency. This section guides students to analyze the causes of scald and help students avoid such things. From the perspective of text structure and collaborative features, the text is expository. Expository, with explanation as the main way of expression, transmits knowledge and information to readers by analyzing concepts and elaborating examples. This text arranges the information in logical order, clearly presents three parts of the content through the subtitle, accurately describes the causes, types, characteristics and first aid measures of burns, and some paragraphs use topic sentences to summarize the main idea, and the level is very clear.1. Guide students to understand the causes, types, characteristics and first aid methods of burns, through reading2. Enhance students’ ability to deal withburnss and their awareness of burns prevention3. Enable students to improve the ability to judge the types of texts accurately and to master the characteristics and writing techniques of expository texts.Guide students to understand the causes, types, characteristics and first aid methods of burns, through readingStep1: Lead in by discussing the related topic:1. What first-aid techniques do you know of ?CPR; mouth to mouth artificial respiration; the Heimlich Manoeuvre
新人教版高中英語(yǔ)選修2Unit 5 Using langauge-Listening教學(xué)設(shè)計(jì)
The theme of this section is to learn how to make emergency calls. Students should learn how to make emergency calls not only in China, but also in foreign countries in English, so that they can be prepared for future situations outside the home.The emergency telephone number is a vital hotline, which should be the most clear, rapid and effective communication with the acute operator.This section helps students to understand the emergency calls in some countries and the precautions for making emergency calls. Through the study of this section, students can accumulate common expressions and sentence patterns in this context. 1.Help students accumulate emergency telephone numbers in different countries and learn more about first aid2.Guide the students to understand the contents and instructions of the telephone, grasp the characteristics of the emergency telephone and the requirements of the emergency telephone.3.Guide students to understand the first aid instructions of the operators.4.Enable Ss to make simulated emergency calls with their partners in the language they have learned1. Instruct students to grasp the key information and important details of the dialogue.2. Instruct students to conduct a similar talk on the relevant topic.Step1:Look and discuss:Match the pictures below to the medical emergencies, and then discuss the questions in groups.
新人教版高中英語(yǔ)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(shè)計(jì)意圖】主題類語(yǔ)言整理有助于學(xué)生類化語(yǔ)言應(yīng)用，提高語(yǔ)言輸出的豐富性。處理完文本內(nèi)容信息后，進(jìn)入語(yǔ)篇信息處理，進(jìn)行主題相關(guān)的詞塊歸類。引導(dǎo)學(xué)生快速閱讀，尋找表達(dá)相同主題(發(fā)展或者藝術(shù))的詞和短語(yǔ)，再根據(jù)詞性、用法和結(jié)構(gòu)進(jìn)行歸類，儲(chǔ)備主題相關(guān)詞匯，豐富語(yǔ)言儲(chǔ)備，提升語(yǔ)言素養(yǎng)。 Assignment: Go online to gather more information about Chinese painting and write a short history of it. 【設(shè)計(jì)意圖】結(jié)合所學(xué)，遷移運(yùn)用，根據(jù)實(shí)際語(yǔ)境，進(jìn)行模仿性運(yùn)用。在此過(guò)程中，學(xué)生嘗試借鑒已學(xué)的語(yǔ)言、內(nèi)容、語(yǔ)篇結(jié)構(gòu)和寫作手法來(lái)建構(gòu)新文本，實(shí)現(xiàn)語(yǔ)篇輸出，同時(shí)關(guān)注中西藝術(shù)文化的差別，加深對(duì)優(yōu)秀文化的認(rèn)同，培養(yǎng)文化意識(shí)。
新人教版高中英語(yǔ)選修3Unit 2 Healthy Lifestyle教案
Activity 4: Figuring out the structure and the writing purpose 本活動(dòng)為實(shí)現(xiàn)課時(shí)目標(biāo)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(shè)計(jì)意圖】 步驟1旨在預(yù)測(cè)和驗(yàn)證文章最后一段主要內(nèi)容，梳理完整的語(yǔ)篇結(jié)構(gòu)，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(xué)生課堂反應(yīng)情況融入對(duì)語(yǔ)篇人稱多次轉(zhuǎn)換的思考。
新人教版高中英語(yǔ)選修3Unit 4 Adversity And Courage教案
本活動(dòng)旨在落實(shí)課時(shí)目標(biāo)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(shè)計(jì)意圖】此任務(wù)旨在遷移一、二課時(shí)所學(xué)，解決實(shí)際問(wèn)題。學(xué)生對(duì)比自己經(jīng)歷過(guò)的挑戰(zhàn)或挫折，寫信給學(xué)生會(huì)申請(qǐng)前往貴州擔(dān)任短期支教教師，把個(gè)人以前是怎么戰(zhàn)勝挫折的經(jīng)過(guò)書寫出來(lái)。結(jié)合所學(xué)，遷移創(chuàng)新，分析解決自身實(shí)際問(wèn)題，在真實(shí)情境中學(xué)生通過(guò)仿寫進(jìn)行主題語(yǔ)言的精確輸出。完成任務(wù)的過(guò)程中，能較多地使用已學(xué)語(yǔ)言、內(nèi)容、結(jié)構(gòu)和寫作手法來(lái)描述自己面對(duì)挫折的處理方式、態(tài)度和應(yīng)有的品質(zhì)，近一步激發(fā)學(xué)生樹(shù)立正確的價(jià)值觀，學(xué)會(huì)逆境出人才，堅(jiān)忍不拔，從容不迫，又做到謙讓、分享和合作。課后學(xué)生修正習(xí)作，再次提交。
新人教版高中英語(yǔ)選修3Unit 5 Poems教案
本單元閱讀文本介紹了幾種簡(jiǎn)單的英語(yǔ)詩(shī)歌形式，旨在讓學(xué)生能理解和欣賞英語(yǔ)詩(shī)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(jià)值觀念啟示。 該文本是一則典型的說(shuō)明性文本，用簡(jiǎn)單易懂的語(yǔ)言向英語(yǔ)詩(shī)歌的初學(xué)者們介紹了五種比較簡(jiǎn)單的英語(yǔ)詩(shī)歌形式。文題“A Few Simple Forms of English Poems”是整個(gè)文本的核心話題。正文內(nèi)容共七段，按“總—分—總”建構(gòu)。第一段為總起段，概述了英語(yǔ)詩(shī)歌的創(chuàng)作原因以及主要特點(diǎn)，涉及了形式、內(nèi)容、意義等方面賞析英語(yǔ)詩(shī)歌的幾個(gè)主要維度；第二段至第六段分別介紹了童謠、清單詩(shī)、五行詩(shī)、俳句和唐詩(shī)五種英語(yǔ)詩(shī)歌形式；第七段收尾，鼓勵(lì)讀者嘗試英語(yǔ)詩(shī)歌創(chuàng)作。 在進(jìn)行文本教學(xué)設(shè)計(jì)時(shí)，要引導(dǎo)學(xué)生梳理關(guān)于與詩(shī)歌要素和詩(shī)歌賞析有關(guān)的話題類語(yǔ)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(dòng)詞和動(dòng)詞短語(yǔ)。
新人教版高中英語(yǔ)選修4Unit 2 Iconic Attractions教案
幫助學(xué)生通過(guò)討論與對(duì)主題的提升，反思自己的旅游方式，以便做出更優(yōu)化的安排，在今后的旅程中有更多的收益。 Activity 2: Further discussion of the 6 elements above and supplement of more background knowledge 本活動(dòng)為實(shí)現(xiàn)課時(shí)教學(xué)目標(biāo)2。 1.Target Q: The writer’s clear target of traveling, meeting the people and experiencing the culture, is closely related to his major in social studies. Then what is social studies? Social studies is a part of a school or college curriculum concerned with the study of social relationships and the functioning of society and usually made up of courses in history, government, economics, civics, sociology, geography, and anthropology. （Dictionary by Merriam-Webster） Reflection: When you go out to travel, what targets do you usually have in mind? 2.Research Q: Suppose you are traveling to Hangzhou during the school holidays, how will you do research on the city? (surf the internet, read books or travel brochures, consult friends, ...) What information will you be interested to know? (location, iconic sites, local cuisines, interesting customs, shopping malls ...) 3.Abandonment To make the most of time, we have to learn to abandon so that we can accomplish our plan. What will you be interested in doing if you go to Hangzhou if you have a week’s time? What if you only have 2 days? 4~5. Venturing & Experiencing Q: What did he venture to do during the trip? What new experiences did he have? In Sydney: attend his first open-air barbecue, enjoy many different but yummy meals In Catherine: observe the life and customs of the aborigines appreciate their music & try the musical instruments: the didgeridoo
新人教版高中英語(yǔ)選修4Unit 3 Reaching Out Across the Sea教案
本活動(dòng)旨在落實(shí)課時(shí)目標(biāo)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(shè)計(jì)意圖】該活動(dòng)是一個(gè)完全開(kāi)放性的活動(dòng)，每個(gè)學(xué)生都會(huì)有不同的答案。運(yùn)用遷移所學(xué)，自由口頭表達(dá)自己對(duì)海洋探索的態(tài)度。對(duì)于中國(guó)海洋探索的未來(lái)，每個(gè)人的想法是不一樣的，有樂(lè)觀，有擔(dān)憂，有認(rèn)為值得投入，也有認(rèn)為不值得付出太大代價(jià)，這里給學(xué)生自由表達(dá)的空間只要學(xué)會(huì)有支撐自己觀點(diǎn)的事實(shí)就可以了，進(jìn)一步培養(yǎng)學(xué)生批判性思維和正確的價(jià)值觀。 Assignment: 此任務(wù)旨在遷移一、二課時(shí)所學(xué)，培養(yǎng)學(xué)生辯證分析問(wèn)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.
新人教版高中英語(yǔ)選修4Unit 4 Sharing教案
【核心素養(yǎng)提升點(diǎn)】學(xué)會(huì)將抽象信息進(jìn)行可視化表達(dá)，提高信息處理能力和分析、推理等高階思維品質(zhì)；在跨文化交際中學(xué)會(huì)以國(guó)際視野接受和包容不同的文化。 5.Read Paragraph 2, draw a mind map and answer the questions. Q1:What did Jo learn about Tombe’s life? Q2:What kind of life do the natives lead? Read paragraph 2-5 and draw a mind-map. (Focus on accommodation, possession, diet and belief) 【設(shè)計(jì)意圖】引導(dǎo)學(xué)生利用思維導(dǎo)圖和問(wèn)題鏈等形式來(lái)厘清當(dāng)?shù)厝说纳罘绞?，更好地處理和歸納信息 【核心素養(yǎng)提升點(diǎn)】提高信息處理能力、分析和歸納能力，包容異國(guó)文化、擴(kuò)展國(guó)際視野。 6.Read Paragraph 3 and answer the questions. Q1:What was Jo’s feeling upon arriving her own home? Q2:Why would she feel that way? Q3:Do you think “It was such a privilege to have spent a day with Tombe’s family”? 【設(shè)計(jì)意圖】通過(guò)提問(wèn)，讓學(xué)生理解Jo的苦并快樂(lè)的心情，并通過(guò)對(duì)“It was such a privilege to have spent a day with Tombe’s family”這句話的理解，體驗(yàn)志愿者生活的偉大。 【核心素養(yǎng)提升點(diǎn)】學(xué)會(huì)對(duì)信息的綜合和歸納，從而理解作者所表達(dá)的觀點(diǎn)。 Activity4: Summarize the change of Jo's feelings
新人教版高中英語(yǔ)選修4Unit 5 Language Your Career教案
本單元閱讀文本向中學(xué)生推薦職業(yè)能力測(cè)試(Career Aptitude Test)，旨在建議學(xué)生利用職業(yè)傾向測(cè)試來(lái)發(fā)現(xiàn)自己更感興趣、更有潛力的學(xué)習(xí)或職業(yè)方向，并規(guī)劃自己的未來(lái)職業(yè)。 本文采用了建議性文本，全篇從職業(yè)生涯的重要意義講起，針對(duì)中學(xué)生對(duì)職業(yè)規(guī)劃比較迷茫的現(xiàn)狀，提出了職業(yè)傾向測(cè)試這一建議。全文共七段，其中第一段和第二段為第一部分，其余五段為第二部分。第一部分論述職業(yè)的重要性和職業(yè)生涯規(guī)劃的最佳時(shí)間是在校期間，第二部分提出解決職業(yè)選擇困惑可以通過(guò)完成職業(yè)能力測(cè)試，介紹了不同種類的職業(yè)傾向測(cè)試，結(jié)合圖表詳細(xì)說(shuō)明其中一種操作步驟，并提醒職業(yè)建議也基于學(xué)歷和經(jīng)驗(yàn)，最后一段概括論述，建議學(xué)生通過(guò)職業(yè)能力測(cè)試這一有效的工具，找到自己真正熱愛(ài)的事物。 在文本教學(xué)設(shè)計(jì)時(shí)，要幫助學(xué)生梳理有關(guān)職業(yè)的話題語(yǔ)言。閱讀策略層面，指導(dǎo)學(xué)生通過(guò)學(xué)習(xí)圖表和圖形，在有限的空間內(nèi)獲取廣泛信息，如閱讀圖表標(biāo)題，圖表上的標(biāo)簽，X軸Y軸上的數(shù)據(jù)所指。
人教版高中數(shù)學(xué)選修3排列與排列數(shù)教學(xué)設(shè)計(jì)
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(gè)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(gè)不同元素中任選4個(gè)元素的排列問(wèn)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(gè)數(shù)字組成沒(méi)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(gè)?能被5整除的有多少個(gè)?(2)這些四位數(shù)中大于6 500的有多少個(gè)?解:(1)偶數(shù)的個(gè)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(jì)數(shù)原理,知共有四位偶數(shù)A_3^1·A_6^3=360(個(gè));能被5整除的數(shù)個(gè)位必須是5,故有A_6^3=120(個(gè)).(2)最高位上是7時(shí)大于6 500,有A_6^3種,最高位上是6時(shí),百位上只能是7或5,故有2×A_5^2種.由分類加法計(jì)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(gè)).
人教版高中數(shù)學(xué)選修3超幾何分布教學(xué)設(shè)計(jì)
探究新知問(wèn)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(xiàng)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(shí)X服從二項(xiàng)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(xiàng)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．
人教版高中數(shù)學(xué)選修3全概率公式教學(xué)設(shè)計(jì)
2.某小組有20名射手，其中1，2，3，4級(jí)射手分別為2，6，9，3名.又若選1，2，3，4級(jí)射手參加比賽，則在比賽中射中目標(biāo)的概率分別為0.85，0.64，0.45，0.32，今隨機(jī)選一人參加比賽，則該小組比賽中射中目標(biāo)的概率為_(kāi)_______. 【解析】設(shè)B表示“該小組比賽中射中目標(biāo)”，Ai(i=1，2，3，4)表示“選i級(jí)射手參加比賽”，則P(B)= P(Ai)P(B|Ai)= 2/20×0.85+ 6/20 ×0.64+ 9/20×0.45+ 3/20×0.32=0.527 5.答案：0.527 53.兩批相同的產(chǎn)品各有12件和10件，每批產(chǎn)品中各有1件廢品，現(xiàn)在先從第1批產(chǎn)品中任取1件放入第2批中，然后從第2批中任取1件，則取到廢品的概率為_(kāi)_______. 【解析】設(shè)A表示“取到廢品”，B表示“從第1批中取到廢品”，有P(B)= 112，P(A|B)= 2/11 ，P(A| )= 1/11所以P(A)=P(B)P(A|B)+P( )P(A| )4．有一批同一型號(hào)的產(chǎn)品，已知其中由一廠生產(chǎn)的占 30%, 二廠生產(chǎn)的占 50% , 三廠生產(chǎn)的占 20%, 又知這三個(gè)廠的產(chǎn)品次品率分別為2% , 1%, 1%，問(wèn)從這批產(chǎn)品中任取一件是次品的概率是多少？
人教版高中數(shù)學(xué)選修3條件概率教學(xué)設(shè)計(jì)
(2)方法一:第一次取到一件不合格品,還剩下99件產(chǎn)品,其中有4件不合格品,95件合格品,于是第二次又取到不合格品的概率為4/99,由于這是一個(gè)條件概率,所以P(B|A)=4/99.方法二:根據(jù)條件概率的定義,先求出事件A,B同時(shí)發(fā)生的概率P(AB)=(C_5^2)/(C_100^2 )=1/495,所以P(B|A)=(P"(" AB")" )/(P"(" A")" )=(1/495)/(5/100)=4/99.6.在某次考試中,要從20道題中隨機(jī)地抽出6道題,若考生至少答對(duì)其中的4道題即可通過(guò);若至少答對(duì)其中5道題就獲得優(yōu)秀.已知某考生能答對(duì)其中10道題,并且知道他在這次考試中已經(jīng)通過(guò),求他獲得優(yōu)秀成績(jī)的概率.解:設(shè)事件A為“該考生6道題全答對(duì)”,事件B為“該考生答對(duì)了其中5道題而另一道答錯(cuò)”,事件C為“該考生答對(duì)了其中4道題而另2道題答錯(cuò)”,事件D為“該考生在這次考試中通過(guò)”,事件E為“該考生在這次考試中獲得優(yōu)秀”,則A,B,C兩兩互斥,且D=A∪B∪C,E=A∪B,由古典概型的概率公式及加法公式可知P(D)=P(A∪B∪C)=P(A)+P(B)+P(C)=(C_10^6)/(C_20^6 )+(C_10^5 C_10^1)/(C_20^6 )+(C_10^4 C_10^2)/(C_20^6 )=(12" " 180)/(C_20^6 ),P(E|D)=P(A∪B|D)=P(A|D)+P(B|D)=(P"(" A")" )/(P"(" D")" )+(P"(" B")" )/(P"(" D")" )=(210/(C_20^6 ))/((12" " 180)/(C_20^6 ))+((2" " 520)/(C_20^6 ))/((12" " 180)/(C_20^6 ))=13/58,即所求概率為13/58.
人教版高中數(shù)學(xué)選修3正態(tài)分布教學(xué)設(shè)計(jì)
3.某縣農(nóng)民月均收入服從N(500,202)的正態(tài)分布,則此縣農(nóng)民月均收入在500元到520元間人數(shù)的百分比約為 . 解析:因?yàn)樵率杖敕恼龖B(tài)分布N(500,202),所以μ=500,σ=20,μ-σ=480,μ+σ=520.所以月均收入在[480,520]范圍內(nèi)的概率為0.683.由圖像的對(duì)稱性可知,此縣農(nóng)民月均收入在500到520元間人數(shù)的百分比約為34.15%.答案:34.15%4.某種零件的尺寸ξ(單位:cm)服從正態(tài)分布N(3,12),則不屬于區(qū)間[1,5]這個(gè)尺寸范圍的零件數(shù)約占總數(shù)的 . 解析:零件尺寸屬于區(qū)間[μ-2σ,μ+2σ],即零件尺寸在[1,5]內(nèi)取值的概率約為95.4%,故零件尺寸不屬于區(qū)間[1,5]內(nèi)的概率為1-95.4%=4.6%.答案:4.6%5. 設(shè)在一次數(shù)學(xué)考試中,某班學(xué)生的分?jǐn)?shù)X~N(110,202),且知試卷滿分150分,這個(gè)班的學(xué)生共54人,求這個(gè)班在這次數(shù)學(xué)考試中及格(即90分及90分以上)的人數(shù)和130分以上的人數(shù).解:μ=110,σ=20,P(X≥90)=P(X-110≥-20)=P(X-μ≥-σ),∵P(X-μσ)≈2P(X-μ130)=P(X-110>20)=P(X-μ>σ),∴P(X-μσ)≈0.683+2P(X-μ>σ)=1,∴P(X-μ>σ)=0.158 5,即P(X>130)=0.158 5.∴54×0.158 5≈9(人),即130分以上的人數(shù)約為9人.
人教版高中數(shù)學(xué)選修3組合與組合數(shù)教學(xué)設(shè)計(jì)
解析:因?yàn)闇p法和除法運(yùn)算中交換兩個(gè)數(shù)的位置對(duì)計(jì)算結(jié)果有影響,所以屬于組合的有2個(gè).答案:B2.若A_n^2=3C_(n"-" 1)^2,則n的值為( )A.4 B.5 C.6 D.7 解析:因?yàn)锳_n^2=3C_(n"-" 1)^2,所以n(n-1)=(3"(" n"-" 1")(" n"-" 2")" )/2,解得n=6.故選C.答案:C 3.若集合A={a1,a2,a3,a4,a5},則集合A的子集中含有4個(gè)元素的子集共有 個(gè). 解析:滿足要求的子集中含有4個(gè)元素,由集合中元素的無(wú)序性,知其子集個(gè)數(shù)為C_5^4=5.答案:54.平面內(nèi)有12個(gè)點(diǎn),其中有4個(gè)點(diǎn)共線,此外再無(wú)任何3點(diǎn)共線,以這些點(diǎn)為頂點(diǎn),可得多少個(gè)不同的三角形?解:(方法一)我們把從共線的4個(gè)點(diǎn)中取點(diǎn)的多少作為分類的標(biāo)準(zhǔn):第1類,共線的4個(gè)點(diǎn)中有2個(gè)點(diǎn)作為三角形的頂點(diǎn),共有C_4^2·C_8^1=48(個(gè))不同的三角形;第2類,共線的4個(gè)點(diǎn)中有1個(gè)點(diǎn)作為三角形的頂點(diǎn),共有C_4^1·C_8^2=112(個(gè))不同的三角形;第3類,共線的4個(gè)點(diǎn)中沒(méi)有點(diǎn)作為三角形的頂點(diǎn),共有C_8^3=56(個(gè))不同的三角形.由分類加法計(jì)數(shù)原理,不同的三角形共有48+112+56=216(個(gè)).(方法二 間接法)C_12^3-C_4^3=220-4=216(個(gè)).
人教部編版七年級(jí)語(yǔ)文上冊(cè)《論語(yǔ)》十二章教案
子夏求“仁”的途徑是“博學(xué)”“篤志”“切問(wèn)”“近思”，就是廣泛學(xué)習(xí)，堅(jiān)定志向，提出疑惑，聯(lián)系實(shí)際思考自我。（2）從孔子及其弟子的“修身之道”里，你懂得了什么道理呢？（生交流明確）預(yù)設(shè) 進(jìn)德修身是一個(gè)循序漸進(jìn)的過(guò)程。道德的修煉需要自我學(xué)習(xí)，自我反省。自我反省能把外在的道德約束內(nèi)化為對(duì)自己的自覺(jué)要求。當(dāng)思想與言行統(tǒng)一，能自覺(jué)遵守道德規(guī)范時(shí)，就達(dá)到了極高的道德境界。（3）“品德是最高的學(xué)位。”明白了這些道理，你準(zhǔn)備怎樣開(kāi)啟自己的修身之路呢？（生聯(lián)系自身實(shí)際，各抒己見(jiàn)）預(yù)設(shè) 堅(jiān)定志向，加強(qiáng)學(xué)習(xí)，加強(qiáng)自我反省，等等?！驹O(shè)計(jì)意圖】這一教學(xué)板塊，精心整合了教學(xué)內(nèi)容，細(xì)致地安排了學(xué)生的學(xué)習(xí)活動(dòng)，引導(dǎo)學(xué)生以吟誦、品議的方式逐步理解經(jīng)典的思想核心，讓學(xué)生成為課堂有序?qū)W習(xí)活動(dòng)的主體，使其在活動(dòng)中啟迪思維，涵養(yǎng)心靈，得到傳統(tǒng)文化的熏陶。