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新人教版高中英语选修2Unit 3 Using langauge-Listening教学设计
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?
人教版高中数学选修3超几何分布教学设计
探究新知问题1：已知100件产品中有8件次品，现从中采用有放回方式随机抽取4件．设抽取的4件产品中次品数为X，求随机变量X的分布列.（1）：采用有放回抽样，随机变量X服从二项分布吗？采用有放回抽样，则每次抽到次品的概率为0.08，且各次抽样的结果相互独立,此时X服从二项分布,即X～B(4，0.08).（2）：如果采用不放回抽样，抽取的4件产品中次品数X服从二项分布吗？若不服从，那么X的分布列是什么？不服从，根据古典概型求X的分布列.解：从100件产品中任取4件有 C_100^4 种不同的取法，从100件产品中任取4件，次品数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)种.一般地，假设一批产品共有N件，其中有M件次品．从N件产品中随机抽取n件(不放回），用X表示抽取的n件产品中的次品数，则X的分布列为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}，则称随机变量X服从超几何分布．
人教版高中数学选修3全概率公式教学设计
2.某小组有20名射手，其中1，2，3，4级射手分别为2，6，9，3名.又若选1，2，3，4级射手参加比赛，则在比赛中射中目标的概率分别为0.85，0.64，0.45，0.32，今随机选一人参加比赛，则该小组比赛中射中目标的概率为________. 【解析】设B表示“该小组比赛中射中目标”，Ai(i=1，2，3，4)表示“选i级射手参加比赛”，则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 53.两批相同的产品各有12件和10件，每批产品中各有1件废品，现在先从第1批产品中任取1件放入第2批中，然后从第2批中任取1件，则取到废品的概率为________. 【解析】设A表示“取到废品”，B表示“从第1批中取到废品”，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．有一批同一型号的产品，已知其中由一厂生产的占 30%, 二厂生产的占 50% , 三厂生产的占 20%, 又知这三个厂的产品次品率分别为2% , 1%, 1%，问从这批产品中任取一件是次品的概率是多少？
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.
新人教版高中英语选修2Unit 3 Learning about Language教学设计
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
新人教版高中英语选修2Unit 3 Reading for writing教学设计
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.
人教版高中数学选修3排列与排列数教学设计
4.有8种不同的菜种,任选4种种在不同土质的4块地里,有 种不同的种法. 解析:将4块不同土质的地看作4个不同的位置,从8种不同的菜种中任选4种种在4块不同土质的地里,则本题即为从8个不同元素中任选4个元素的排列问题,所以不同的种法共有A_8^4 =8×7×6×5=1 680(种).答案:1 6805.用1、2、3、4、5、6、7这7个数字组成没有重复数字的四位数.(1)这些四位数中偶数有多少个?能被5整除的有多少个?(2)这些四位数中大于6 500的有多少个?解:(1)偶数的个位数只能是2、4、6,有A_3^1种排法,其他位上有A_6^3种排法,由分步乘法计数原理,知共有四位偶数A_3^1·A_6^3=360(个);能被5整除的数个位必须是5,故有A_6^3=120(个).(2)最高位上是7时大于6 500,有A_6^3种,最高位上是6时,百位上只能是7或5,故有2×A_5^2种.由分类加法计数原理知,这些四位数中大于6 500的共有A_6^3+2×A_5^2=160(个).
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组合与组合数教学设计
解析:因为减法和除法运算中交换两个数的位置对计算结果有影响,所以属于组合的有2个.答案:B2.若A_n^2=3C_(n"-" 1)^2,则n的值为( )A.4 B.5 C.6 D.7 解析:因为A_n^2=3C_(n"-" 1)^2,所以n(n-1)=(3"(" n"-" 1")(" n"-" 2")" )/2,解得n=6.故选C.答案:C 3.若集合A={a1,a2,a3,a4,a5},则集合A的子集中含有4个元素的子集共有 个. 解析:满足要求的子集中含有4个元素,由集合中元素的无序性,知其子集个数为C_5^4=5.答案:54.平面内有12个点,其中有4个点共线,此外再无任何3点共线,以这些点为顶点,可得多少个不同的三角形?解:(方法一)我们把从共线的4个点中取点的多少作为分类的标准:第1类,共线的4个点中有2个点作为三角形的顶点,共有C_4^2·C_8^1=48(个)不同的三角形;第2类,共线的4个点中有1个点作为三角形的顶点,共有C_4^1·C_8^2=112(个)不同的三角形;第3类,共线的4个点中没有点作为三角形的顶点,共有C_8^3=56(个)不同的三角形.由分类加法计数原理,不同的三角形共有48+112+56=216(个).(方法二 间接法)C_12^3-C_4^3=220-4=216(个).
人教版高中数学选修3一元线性回归模型及其应用教学设计
1.确定研究对象，明确哪个是解释变量，哪个是响应变量；2.由经验确定非线性经验回归方程的模型；3.通过变换，将非线性经验回归模型转化为线性经验回归模型；4.按照公式计算经验回归方程中的参数，得到经验回归方程；5.消去新元，得到非线性经验回归方程；6.得出结果后分析残差图是否有异常 ．跟踪训练1.一只药用昆虫的产卵数y与一定范围内的温度x有关，现收集了6组观测数据列于表中： 经计算得： 线性回归残差的平方和: ∑_(i=1)^6?〖(y_i-(y_i ) ?)〗^2=236,64,e^8.0605≈3167.其中 分别为观测数据中的温度和产卵数，i=1,2,3,4,5,6.(1)若用线性回归模型拟合，求y关于x的回归方程 (精确到0.1）；(2)若用非线性回归模型拟合，求得y关于x回归方程为 且相关指数R2＝0.9522． ①试与(1)中的线性回归模型相比较，用R2说明哪种模型的拟合效果更好 ?②用拟合效果好的模型预测温度为35℃时该种药用昆虫的产卵数.(结果取整数).
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离散型随机变量及其分布列(1)教学设计
4.写出下列随机变量可能取的值，并说明随机变量所取的值表示的随机试验的结果．(1)一个袋中装有8个红球，3个白球，从中任取5个球，其中所含白球的个数为X.(2)一个袋中有5个同样大小的黑球，编号为1,2,3,4,5，从中任取3个球，取出的球的最大号码记为X.(3). 在本例(1)条件下，规定取出一个红球赢2元，而每取出一个白球输1元，以ξ表示赢得的钱数，结果如何？[解] (1)X可取0,1,2,3.X＝0表示取5个球全是红球；X＝1表示取1个白球，4个红球；X＝2表示取2个白球，3个红球；X＝3表示取3个白球，2个红球．(2)X可取3,4,5.X＝3表示取出的球编号为1,2,3；X＝4表示取出的球编号为1,2,4；1,3,4或2,3,4.X＝5表示取出的球编号为1,2,5；1,3,5；1,4,5；2,3,5；2,4,5或3,4,5.(3) ξ＝10表示取5个球全是红球；ξ＝7表示取1个白球，4个红球；ξ＝4表示取2个白球，3个红球；ξ＝1表示取3个白球，2个红球．
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分类变量与列联表教学设计
一、 问题导学前面两节所讨论的变量,如人的身高、树的胸径、树的高度、短跑100m世界纪录和创纪录的时间等,都是数值变量,数值变量的取值为实数.其大小和运算都有实际含义.在现实生活中,人们经常需要回答一定范围内的两种现象或性质之间是否存在关联性或相互影响的问题.例如,就读不同学校是否对学生的成绩有影响,不同班级学生用于体育锻炼的时间是否有差别,吸烟是否会增加患肺癌的风险,等等,本节将要学习的独立性检验方法为我们提供了解决这类问题的方案。在讨论上述问题时,为了表述方便,我们经常会使用一种特殊的随机变量,以区别不同的现象或性质,这类随机变量称为分类变量.分类变量的取值可以用实数表示,例如,学生所在的班级可以用1,2,3等表示,男性、女性可以用1,0表示,等等.在很多时候,这些数值只作为编号使用,并没有通常的大小和运算意义,本节我们主要讨论取值于{0,1}的分类变量的关联性问题.
新人教版高中英语选修2Unit 5 Learning about Language教学设计
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.
新人教版高中英语选修2Unit 5 Using langauge-Listening教学设计
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.
新人教版高中英语选修2Unit 4 Reading and thinking教学设计
【词汇精讲】highlight n.最好或最精彩的部分 vt.突出;强调;使醒目One of the highlights of the trip was seeing the Taj Mahal.这次旅行的亮点之一是参观泰姬陵。Your resume should highlight your skills and achievements.你的简历应该突出你的技能和成就。The report highlights the major problems facing society today.报告强调了当今社会所面临的主要问题。I’ve highlighted the important passages in yellow.我用黄色标出了重要段落。7.Edmonton is freezing cold in winter,with daily temperatures averaging -10 ℃.埃德蒙顿冬季寒冷,日平均气温为-10°C。【词汇精讲】freezing adj.极冷的;冰冻的Leave a basin of water outside in freezing weather.在冰冻的天气里,放一盆水在室外。It’s freezing cold outside so wear a warm coat.外面超冷的,所以穿一个暖和一点的外套吧。8.It was not until 9:30 a.m.that they finally reached the capital of Ontario,Toronto.直到上午9时30分,他们才终于到达多伦多的首府安大略省。【句式剖析】本句是一个强调句,强调的是句子的时间状语until 9:30。含有not...until...的句子的强调句为It is not until...that...,that后面的句子要用肯定形式。It was not until then that I suddenly realized nobody was happier than I was.直到那时我才突然意识到没有人比我更幸福了。
新人教版高中英语选修2Unit 2 Learning about Language教学设计
The activity theme of this section is to design various activities around the key words in the first text. Therefore, the activities require students to pay attention to the spelling of words. On the other hand, let students grasp the meaning of words more accurately through sentences and short texts. This kind of teaching design also helps to improve the ability of using English thinking.1. Cultivating students' ability to use word formation to induce and memorize vocabulary, and the ability to use lexical chunks to express meaning.2. Guide the students to think independently and use the correct form of words to complete sentences3. Cultivate students' habit of using lexical chunks to express language completely, guide students to draw words in sentences quickly, pay attention to word collocation, so as to accumulate more authentic expressions4. Instruct students to create sentences with the chunks.1. Enable students to use the language points in the real situation or specific contexts flexibly and appropriately.2. Guiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Think of a word that best fits each definition.1. to remember sth2.to accept, admit, or recognize sth or the truth/existence of sth3. the process of changing sth or yourself to suit a new situation4 .to make sb feel less worried or unhappy5. a strong desire to achieve sth
新人教版高中英语选修2Unit 5 Reading for writing教学设计
你校英语报计划出版一期急救常识专刊,现面向全校学生公开征集稿件,你有意参加。请你根据下面提示内容,用英语写一篇短文,介绍在车祸现场对伤者进行急救的方法和步骤。1.确保现场的安全;2.询问伤者,确保其呼吸正常;3.检查伤口,如流血则应采取止血措施;4.如需急救,确保其处于康复位置。注意:1.词数80左右;2.可以适当增加细节,以使行文连贯。参考词汇:康复位置 recovery positionAs we all know, having a knowledge of first aid can make a great difference in our daily life. If a traffic accident happens and someone is injured, the following steps can be used to treat the injured.In the first place, we should make sure that the accident scene is safe so that we won’t get hurt. We should ask the injured person if he is OK, and see if he is breathing. What’s more, we should check for cuts and wounds. If he is bleeding badly, it is vital that we should try to stop the bleeding by applying pressure to the injury. This is because if a person loses too much blood, he may die. If necessary, take the injured person to the hospital as soon as possible.Do remember: when giving first aid, please be sure to place the person in a recovery position.
新人教版高中英语选修2Unit 2 Reading and thinking教学设计
Her tutor told her to acknowledge __________ other people had said if she cited their ideas, and advised her _______（read） lots of information in order to form __________wise opinion of her own.Now halfway __________ her exchange year, Xie Lei felt much more at home in the UK. She said __________ (engage) in British culture had helped and that she had been__________ (involve) in social activities. She also said while learning about business, she was acting as a cultural messenger __________（build） a bridge between the two countries. keys:Xie Lei, a 19yearold Chinese student, said goodbye to her family and friends in China and boarded (board) a plane for London six months ago in order to get a business qualification. She was ambitious(ambition) to set up a business after graduation. It was the first time that she had left (leave) home.At first, Xie Lei had to adapt to life in a different country. She chose to live with a host family, who can help with her adaptation (adapt) to the new culture. When she missed home, she felt comforted (comfort) to have a second family. Also Xie Lei had to satisfy academic requirements. Her tutor told her to acknowledge what other people had said if she cited their ideas, and advised her to read lots of information in order to form a wise opinion of her own.Now halfway through her exchange year, Xie Lei felt much more at home in the UK. She said engaging (engage) in British culture had helped and that she had been involved (involve) in social activities. She also said while learning about business, she was acting as a cultural messenger building a bridge between the two countries.