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人教版高中数学选修3条件概率教学设计
(2)方法一:第一次取到一件不合格品,还剩下99件产品,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为4/99,由于这是一个条件概率,所以P(B|A)=4/99.方法二:根据条件概率的定义,先求出事件A,B同时发生的概率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.在某次考试中,要从20道题中随机地抽出6道题,若考生至少答对其中的4道题即可通过;若至少答对其中5道题就获得优秀.已知某考生能答对其中10道题,并且知道他在这次考试中已经通过,求他获得优秀成绩的概率.解:设事件A为“该考生6道题全答对”,事件B为“该考生答对了其中5道题而另一道答错”,事件C为“该考生答对了其中4道题而另2道题答错”,事件D为“该考生在这次考试中通过”,事件E为“该考生在这次考试中获得优秀”,则A,B,C两两互斥,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,即所求概率为13/58.
人教版高中数学选修3正态分布教学设计
3.某县农民月均收入服从N(500,202)的正态分布,则此县农民月均收入在500元到520元间人数的百分比约为 . 解析:因为月收入服从正态分布N(500,202),所以μ=500,σ=20,μ-σ=480,μ+σ=520.所以月均收入在[480,520]范围内的概率为0.683.由图像的对称性可知,此县农民月均收入在500到520元间人数的百分比约为34.15%.答案:34.15%4.某种零件的尺寸ξ(单位:cm)服从正态分布N(3,12),则不属于区间[1,5]这个尺寸范围的零件数约占总数的 . 解析:零件尺寸属于区间[μ-2σ,μ+2σ],即零件尺寸在[1,5]内取值的概率约为95.4%,故零件尺寸不属于区间[1,5]内的概率为1-95.4%=4.6%.答案:4.6%5. 设在一次数学考试中,某班学生的分数X~N(110,202),且知试卷满分150分,这个班的学生共54人,求这个班在这次数学考试中及格(即90分及90分以上)的人数和130分以上的人数.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分以上的人数约为9人.
高中数学人教版必修二直线的点斜式方程教案
【教学目标】知识目标：理解直线的点斜式方程、斜截式方程、横截距、纵截距的概念；掌握直线的点斜式方程、斜截式方程的确定．能力目标：通过求解直线的点斜式方程和斜截式方程，培养学生的数学思维能力与数形结合的数学思想．情感目标：通过学习直线的点斜式方程和斜截式方程，体会数形结合的直观感受．【教学重点】直线的点斜式方程、斜截式方程的确定．【教学难点】直线的点斜式方程、斜截式方程的确定．
高中数学人教版必修二直线的点斜式方程教案
【教学重点】直线的点斜式方程、斜截式方程的确定．【教学难点】直线的点斜式方程、斜截式方程的确定．【教学过程】1、对特殊三角函数进行巩固复习；表1 内特殊三角函数值 不存在图1 特殊三角形2、巩固复习直线的倾斜角和斜率相关内容；直线的倾斜角：，；直线的斜率： ， ；设点为直线l上的任意两点，当时，
新人教版高中英语必修1Unit 2 Travelling Around-Reading and Thinking教案
Good expressions that students can choose to use: help the travelers choose which tour to take1. In my opinion, you could/might choose…, because you prefer to…2. …could be a perfect choice for you, for…3. As far as I am concerned, you would enjoy…, for…4. …would probably suit you, because you enjoy/love/hate doing…Step 5 Passage ConsolidationLanguage appreciation:1. You can then spend three days exploring the rainforest with a local guide and enjoying the plants and animals unique to the rainforest. 在接下来的三天里，您可以在当地导游的陪同下，深入雨林进行探索，欣赏雨林特有的动植物。本句主体结构为spend some time doing sth. 2. Inca builders cut stones to exact sizes so that nothing was needed to hold walls together other than the perfect fit of the stones. 印加的建筑工人将石头切割成精确的尺寸，仅仅凭着石头间的完美契合，即可稳固墙体。本句为so that引导的结果状语从句。nothing与the perfect fit为并列成分; other than在句中意为“除了”。Step 6 HomeworkSuppose you will travel to Peru, write a short essay about your three-day tour plan.
新人教版高中英语必修1Unit 4 Natural Disasters-Reading & Thinking教案
5. Read to get detailed information about Paragraph 5.Q1. What shows the revival of Tangshan?Q2. How can Tangshan revive itself and get up on its feet again?Q3. In times of disasters, how can we go through it?T: In times of disasters, we should unify, show the wisdom and stay positive.Step 4 Activity 4 Highlighting the theme and reflecting1. Make a summary of the text.2. Further understand the titleQ: After our learning, why do you think the earth didn’t sleep on that night?T: An earthquake happened. The people in the earthquake suffered a lot, and the people outside Tangshan were concerned about the people there a lot.3. Reflect through discussion on what can be learnt after reading.T: Disasters are powerful. Unpreparedness can be deadly. Life is weak, but if people work together to help each other, disasters can be defeated.There is no love from disaster, but we have love in the human heart.Step 5 Assignment How does the writer convey that the earthquake was deadly, and that people were helpless during the earthquake? Try to find some attractive and impressive expressions and note them down.
新人教版高中英语必修1Unit 5 Languages Around the World-Reading and Thinking教案
【教材分析】本节课是高中英语第一册的最后一个单元的阅读和思考部分，文章难度明显增加，体现在以下几个方面：文章题材是说明文，比较难理解；话题生疏，涉及到历史等知识；生词量增大，而且在语境中理解词汇的要求提高。面对这些，教师的难度和高度也要有所提升，通过探讨说明顺序，了解背景知识等帮助他们找到说明文阅读的方法。【教学目标与核心素养】1. 文化意识目标新课程中指出，文化意识是对中外文化的理解和对优秀文化的认同。文化意识的的培养有助于学生增加国家认同和家国情怀，成为有文明素养和社会责任感的人。我们这个单元很好体现了这一点，通过了解汉字书写的体系和发展，学生可以有一种文化自豪感，同时也能够帮助学生深入挖掘这篇文章，从而想到更多和中国文化相关的方面。2. 学习能力目标
新人教版高中英语必修1Welcome Unit-Reading and Thinking教案
Step 2 New WordsUse ppt to show some words from the passage.Tell the students to remember the meanings.Step3 Skimming and Thinking1. Skim the text and decide which order Han Jing follows to talk about her first day. Time order or place order?Time order2. What is Han Jing worried about before she goes to senior high school?She is worried about whether she will make new friends and if no one talks to her, what she should do.Step 4 Fast Reading1. Match the main ideas with each paragraphParagraph 1:The worries about the new school day Paragraph 2Han Jing’s first maths classParagraph 3Han Jing’s first chemistry classParagraph 4Han Jing’s feelings about her first senior school dayStep 5 Careful Reading1. Fill in the chart with the words and phrases about Han Jing’s day. Answers: Senior high school, a little nervous; Her first maths class, classmates and teachers, friendly and helpful; Chemistry lab; new; great; annoying guy; Confident; a lot to explore2. Read the text again and discuss the questions.1) Why did Han Jing feel anxious before school?Because she was a new senior high student and she was not outgoing. What was more, she was worried about whether she can make friends.2) How was her first maths class?It was difficult but the teacher was kind and friendly. 3) What happened in the chemistry class? What would you do if this happened to you? A guy next to Han Jing tried to talk with her and she couldn’t concentrate on the experiment.
新人教版高中英语必修2Unit 1 Cultural Heritage-Reading and Thinking教案二
1. This section focuses on "Understanding how a problem was solved”, which is aimed to guide students to analyze and discuss the challenges and problems faced by cultural heritage protection during the construction of Aswan Dam, as well as the solutions. On the basis of understanding, students should pay attention to the key role of international cooperation in solving problems, and attach importance to the balance and coordination between cultural heritage protection and social and economic development. Students are encouraged to face challenges actively, be good at cooperation, and make continuous efforts to find reasonable ways and means to solve problems.2. Enable students to understand the main information and text structure of the reading text;3. Motivate students to use the reading strategy "make a timeline" according to the appropriate text genre;4. Enable students to understand how a problem was solved;5. Enable students to understand the value of protecting cultural heritage by teamwork and global community;1. Guide students to pay attention to reading strategies, such as prediction, self-questioning and scanning.2. Help students sort out the topic language about protecting cultural relics and understand the narrative characteristics of "time-event" in illustrative style3. Lead students to understand the value of protecting cultural heritage by teamwork and global community;
新人教版高中英语必修2Unit 1 Cultural Heritage-Reading and Thinking教案一
The theme of the reading and thinking is about “Understanding how a problem was solved”.The Listening & Speaking & Talking is about international co-work to protect the Mount Tai, in which the students from seven countries came up with many solutions even create the Mount Tai App. This section aims at showing how to solve a difficult and even tough problem about protecting the cultural heritage by the international co-work. So in this section, cultivating students’ international awareness is very clear and important. Concretely, with the economic development, how to balance the protection of cultural relics and social development is a big challenge for human. In the 1950s, the Egyptian government wanted to build the Aswan Dam across the Nile to control floods, produce electricity and water farms. But the proposal led to protests because it would destroy a lot of cultural relics. The Egyptian had no choice but ask the UN for help. Therefore, a international cooperation about how to protect the cultural relics began, which involved the time length about 20 years and a large amount of fund. Then, the problems was solved. 1. Read quickly to get the main idea and the structure of the article; read careful to get detailed information.2. Learn to use the reading strategy---making a timeline3. Learn how to solve a tough problem by asking for help and cooperation4. Have the international awareness and understand the great strength of international cooperation.1. Read quickly to get the main idea and the structure of the article; read careful to get detailed information.2. Learn to use the reading strategy---making a timeline.3. Learn how to solve a tough problem by asking for help and cooperation.
新人教版高中英语必修2Unit 2 Wildlife Protection-Reading and Thinking教案一
The listening and speaking part aims at how to protect and help endangered animals by listening, speaking and talking about the facts and reasons. This lesson analyzes the decreasing clause of Tibetan antelope population and the measures of protecting Tibetan antelopes. So students can be guided to learn to analyse the title and use different reading skills or strategies, like scanning, skimming and careful reading.1. Read quickly to get the main ideas and the purpose of going to Tibetan; read carefully to understand what the author see and think.2. Understand the sentences of the present continuous passive voice such as “Much is being done to protect wildlife.” and the inverted sentence “Only when we learn to exist in harmony with nature can we stop being a threat to wildlife and to our planet.”3. Enhance the awareness of protecting wildlife.4. Cultivate the reading methods according to different materials.1. Read quickly to get the main ideas and the purpose of going to Tibetan; read carefully to understand what the author see and think.2. Understand the sentences of the present continuous passive voice such as “Much is being done to protect wildlife.” and the inverted sentence “Only when we learn to exist in harmony with nature can we stop being a threat to wildlife and to our planet.”3. Cultivate the reading methods according to different materials.Step 1 Leading-inWatch a video about elephants and whales and then ask:Why are they endangered ? They are killed/hunted
新人教版高中英语必修2Unit 2 Wildlife Protection-Reading and Thinking教案二
The theme of this unit is human and nature, focusing on the theme of wildlife protection. Nature is a complex ecosystem, in which there are delicate balance between animals and plants. Because of the role of the food chain, the extinction of one species will produce influence, causing a series of chain reaction. Large scale extinction of species will have a serious and even irreversible impact on the ecosystem, resulting in immeasurable losses. Therefore, it is of great significance to protect wild species. To protect wild species is to protect human beings themselves. The motto of this unit is "when the buying stops, the killing can too,” which is a public service advertising slogan to protect wildlife. It tells people that every rhinoceros horn, every fur, every bowl of shark fin soup, every Ivory product, and every tiger bone product, etc. consumed by human beings, are innocent wild animals slaughtered behind them. The mission of wild aid is to ban illegal trade in endangered wildlife and mitigate climate change. It aims to educate the public to reduce the consumption demand for endangered wildlife products through public publicity and improve the awareness of environmental protection.1. Improve the awareness of wildlife protection by acquiring the knowledge of wildlife protection.2. Focus on environmental protection and protection of all lives.3. Analysis of the living environment of wild animals with appropriate thinking mode.4. Skillfully use the vocabulary and grammar knowledge of this unit to cultivate self-study ability according to the unit content5. Develop cooperative learning ability through discussion and other ways1. Enable the Ss to talk about the current situation of wild animals.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.
新人教版高中英语必修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
新人教版高中英语必修2Unit 5 Music-Reading and Thinking教案二
1. Get basic information about Eric; read deeply to understand the history and development of the virtual choir.2. Understand what the function of the virtual choir is and how to make a virtual choir.3. Understand the meaning of some languages in the context of the text through question guidance, such as “Many people do not have close friends or contacts who have the same interest in music.” and so on.Step 1 Leading-in1. Answer the following questions.Q1：Do you know the Apps like Tik Tok and Quick Hand?Q2: Do you want to make a Tik Tok video or a Quick Hand video?2. Play a Tik Tok video Step 2: Understanding the title Q1：What does the title mean ?Q2: Is the article a narration or exposition? Why? Q3: Can you change the title ? If you can, what is the title?Step 3: Scanning the whole text and getting the basic information1. Answer the following questions.Q1：Who came up with the idea for a virtual choir?Q2: Where did Eric studied the musical composition?Q3: What is his song?2. Find the main idea of each paragraph3. Deal with some new words.Step 4: Reading carefully to get detailed informationPara 1 How to make a virtual choir1. PreparationA. tools: a virtual camera; an Internet connectionB. hero/heroin: friends or some individuals who have the same interests2. Process
新人教版高中英语必修1Unit 1 Teenage Life-Reading and Thinking教案
【教材分析】The topic of this unit is about teenage life, which belongs to the theme context of “humans and oneself”.As teenagers who shoulder the responsibility of “Chinese great dream”, they must fully know themselves, including their strengths, weaknesses and challenges etc. They are supposed to improve themselves continuously and readily study their subjects, and thus foster their strategies and confidence in lifelong studies.This period is entitled the freshmen challenges, which mainly concerns some big challenges for new students in Senior high school. In this period, a teacher should lead students to find out what their challenges are and guide them to figure out how to crack the challenges and better themselves. More importantly, a teacher should instruct students to absorb new language points and appreciate the language. Besides, a teacher must instruct students to acquire some skills concerning reading efficiently and inspire them to talk more about their new school life, especially their new problems and solutions both at school and in life.【教学目标与核心素养】1. Enable students to acquire the basic usage of the new words and expressions concerning the freshmen challenges and learn to use them flexibly.2. Enable students to have a good understanding of the freshmen challenges in the new senior high school which is quite different from junior middle school.3. Develop students’ sense of cooperative learning and individual thinking capability. 4. Develop students’ different learning skills to solve different reading comprehensive problems.
新人教版高中英语必修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．该句是一个复合句。该句主句为：the southern part of Ireland broke away from the UK；which resulted in the full name we have today为which引导的定语从句代指前面整句话的内容，we have today为定语从句修饰先行词name。译文：最后，在20世纪，爱尔兰南部脱离英国，这导致了我们今天有的英国的全名：大不列颠及北爱尔兰联合王国。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．该句是一个复合句。该句主句为：you will be surrounded by evidence of four different groups of people；其中Almost everywhere you go in the UK为让步状语从句； who took over at different times throughout history为定语从句修饰先行词people。译文：几乎无论你走到英国的任何地方，你都会发现历史上有四种不同的人在不同的时期统治过英国。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．该句是一个复合句。该句主句为：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．为原因状语从句；dating all the way back to Roman times为现在分词短语作定语修饰history。
新人教版高中英语必修2Unit 5 Music-Reading and Thinking教案一
This section focuses on "learning about experiencing music Online". This virtual choir is a new form of music performance. Members from all over the world don't need to love to come to a place. Instead, they use the new technology to model the various parts and wonderful virtual harmony group of music in the family. Students need to understand the main meaning of each paragraph. Finding topic sentences is an important way to understand the general idea of a paragraph. After the topic sentence, it is usually the detail sentence that supports and explains the topic sentence. Some paragraphs have obvious subject sentences, for example, the first sentence of the second paragraph is the subject sentence of the paragraph, and the following sentenceStudents need to pay attention to the topic sentences and key sentences, and then pay attention to how the sentences after the meaning explain, explain and support the topic sentences or key sentences before.1.Guide students to learn about experiencing music online2.Guide students to scan and circle the information in the text.3.Guide students to find the numbers and dates to fill in the timeline.4.Guide students to learn more about music by completing the sentences with the correct forms of the words and phrases. And then make a mind map about the outline of the passage.1. Guide students to pay attention to reading strategies, such as prediction, self-questioning and scanning.2. Help students sort out the main meaning of each paragraph and understand the narrative characteristics of "timeline” in illustrative style.3. Lead students to understand the changes that have been caused by the Internet.
人教版高中数学选修3离散型随机变量及其分布列(2)教学设计
温故知新 1.离散型随机变量的定义可能取值为有限个或可以一一列举的随机变量,我们称为离散型随机变量.通常用大写英文字母表示随机变量,例如X,Y,Z;用小写英文字母表示随机变量的取值,例如x,y,z.随机变量的特点: 试验之前可以判断其可能出现的所有值，在试验之前不可能确定取何值；可以用数字表示2、随机变量的分类①离散型随机变量:X的取值可一、一列出；②连续型随机变量:X可以取某个区间内的一切值随机变量将随机事件的结果数量化．3、古典概型:①试验中所有可能出现的基本事件只有有限个；②每个基本事件出现的可能性相等。二、探究新知探究1.抛掷一枚骰子,所得的点数X有哪些值？取每个值的概率是多少？ 因为X取值范围是{1，2，3，4，5，6}而且"P(X=m)"=1/6,m=1,2,3,4,5,6.因此X分布列如下表所示
人教版高中数学选修3成对数据的相关关系教学设计
由样本相关系数??≈0.97,可以推断脂肪含量和年龄这两个变量正线性相关，且相关程度很强。脂肪含量与年龄变化趋势相同.归纳总结1．线性相关系数是从数值上来判断变量间的线性相关程度，是定量的方法．与散点图相比较，线性相关系数要精细得多，需要注意的是线性相关系数r的绝对值小，只是说明线性相关程度低，但不一定不相关，可能是非线性相关．2．利用相关系数r来检验线性相关显著性水平时，通常与0.75作比较，若|r|>0.75，则线性相关较为显著，否则不显著．例2. 有人收集了某城市居民年收入(所有居民在一年内收入的总和)与A商品销售额的10年数据,如表所示.画出散点图，判断成对样本数据是否线性相关，并通过样本相关系数推断居民年收入与A商品销售额的相关程度和变化趋势的异同.
人教版高中数学选修3离散型随机变量的方差教学设计
3.下结论.依据均值和方差做出结论.跟踪训练2. A、B两个投资项目的利润率分别为随机变量X1和X2，根据市场分析， X1和X2的分布列分别为X1 2% 8% 12% X2 5% 10%P 0.2 0.5 0.3 P 0.8 0.2求：(1)在A、B两个项目上各投资100万元， Y1和Y2分别表示投资项目A和B所获得的利润，求方差D(Y1)和D(Y2)；(2)根据得到的结论，对于投资者有什么建议？ 解：(1)题目可知，投资项目A和B所获得的利润Y1和Y2的分布列为：Y1 2 8 12 Y2 5 10P 0.2 0.5 0.3 P 0.8 0.2所以 ;; 解：(2) 由(1)可知 ，说明投资A项目比投资B项目期望收益要高；同时 ，说明投资A项目比投资B项目的实际收益相对于期望收益的平均波动要更大.因此，对于追求稳定的投资者，投资B项目更合适;而对于更看重利润并且愿意为了高利润承担风险的投资者，投资A项目更合适.