解析:(1)首先提取公因式13,进而求出即可;(2)首先提取公因式20.15,进而求出即可.解:(1)39×37-13×91=3×13×37-13×91=13×(3×37-91)=13×20=260;(2)29×20.15+72×20.15+13×20.15-20.15×14=20.15×(29+72+13-14)=2015.方法总结:在计算求值时,若式子各项都含有公因式,用提取公因式的方法可使运算简便.三、板书设计1.公因式多项式各项都含有的相同因式叫这个多项式各项的公因式.2.提公因式法如果一个多项式的各项有公因式,可以把这个公因式提到括号外面,这种因式分解的方法叫做提公因式法.本节中要给学生留出自主学习的空间,然后引入稍有层次的例题,让学生进一步感受因式分解与整式的乘法是逆过程,从而可用整式的乘法检查错误.本节课在对例题的探究上,提倡引导学生合作交流,使学生发挥群体的力量,以此提高教学效果.
解:(1)设第一次落地时,抛物线的表达式为y=a(x-6)2+4,由已知:当x=0时,y=1,即1=36a+4,所以a=-112.所以函数表达式为y=-112(x-6)2+4或y=-112x2+x+1;(2)令y=0,则-112(x-6)2+4=0,所以(x-6)2=48,所以x1=43+6≈13,x2=-43+6<0(舍去).所以足球第一次落地距守门员约13米;(3)如图,第二次足球弹出后的距离为CD,根据题意:CD=EF(即相当于将抛物线AEMFC向下平移了2个单位).所以2=-112(x-6)2+4,解得x1=6-26,x2=6+26,所以CD=|x1-x2|=46≈10.所以BD=13-6+10=17(米).方法总结:解决此类问题的关键是先进行数学建模,将实际问题中的条件转化为数学问题中的条件.常有两个步骤:(1)根据题意得出二次函数的关系式,将实际问题转化为纯数学问题;(2)应用有关函数的性质作答.
方法总结:解答此类题目的关键是根据题意构造直角三角形,然后利用所学的三角函数的关系进行解答.变式训练:见《学练优》本课时练习“课后巩固提升” 第7题【类型三】 构造直角三角形解决面积问题在△ABC中,∠B=45°,AB=2,∠A=105°,求△ABC的面积.解析:过点A作AD⊥BC于点D,根据勾股定理求出BD、AD的长,再根据解直角三角形求出CD的长,最后根据三角形的面积公式解答即可.解:过点A作AD⊥BC于点D,∵∠B=45°,∴∠BAD=45°,∴AD=BD=22AB=22×2=1.∵∠A=105°,∴∠CAD=105°-45°=60°,∴∠C=30°,∴CD=ADtan30°=133=3,∴S△ABC=12(CD+BD)·AD=12×(3+1)×1=3+12. 方法总结:解答此类题目的关键是根据题意构造直角三角形,然后利用所学的三角函数的关系进行解答.
首先请学生分析:过B、C作梯形ABCD的高,将梯形分割成两个直角三角形和一个矩形来解.教师可请一名同学上黑板板书,其他学生笔答此题.教师在巡视中为个别学生解开疑点,查漏补缺.解:作BE⊥AD,CF⊥AD,垂足分别为E、F,则BE=23m.在Rt△ABE中,∴AB=2BE=46(m).∴FD=CF=23(m).答:斜坡AB长46m,坡角α等于30°,坝底宽AD约为68.8m.引导全体同学通过评价黑板上的板演,总结解坡度问题需要注意的问题:①适当添加辅助线,将梯形分割为直角三角形和矩形.③计算中尽量选择较简便、直接的关系式加以计算.三、课堂小结:请学生总结:解直角三角形时,运用直角三角形有关知识,通过数值计算,去求出图形中的某些边的长度或角的大小.在分析问题时,最好画出几何图形,按照图中的边角之间的关系进行计算.这样可以帮助思考、防止出错.四、布置作业
解析:正多边形的边心距、半径、边长的一半正好构成直角三角形,根据勾股定理就可以求解.解:(1)设正三角形ABC的中心为O,BC切⊙O于点D,连接OB、OD,则OD⊥BC,BD=DC=a.则S圆环=π·OB2-π·OD2=πOB2-OD2=π·BD2=πa2;(2)只需测出弦BC(或AC,AB)的长;(3)结果一样,即S圆环=πa2;(4)S圆环=πa2.方法总结:正多边形的计算,一般是过中心作边的垂线,连接半径,把内切圆半径、外接圆半径、边心距,中心角之间的计算转化为解直角三角形.变式训练:见《学练优》本课时练习“课后巩固提升”第4题【类型四】 圆内接正多边形的实际运用如图①,有一个宝塔,它的地基边缘是周长为26m的正五边形ABCDE(如图②),点O为中心(下列各题结果精确到0.1m).(1)求地基的中心到边缘的距离;(2)已知塔的墙体宽为1m,现要在塔的底层中心建一圆形底座的塑像,并且留出最窄处为1.6m的观光通道,问塑像底座的半径最大是多少?
Period 2 (3a----Section B 2c)Preview(Pre-task): Key points: What laAdd another information about their pen pals----their language on the cardnguage does she/he speak?She/He speaks....Does she/he have any brothers and sisters? Does she/he speak English?Preview(Pre-task): Add another information about their pen pals----their language on the cardKey points: What language does she/he speak?She/He speaks....Does she/he have any brothers and sisters? Does she/he speak English?Step 1 Revision1.Revisionand dictation of the new words 2.Revise the drills they learned yesterday.(by pairwork and grammar exercise)Step 2 Leading-inT has a conversation with one student. The conversation is following:---Do you have a pen pal?---Yes, I do.---What's your pen pal's name? ---His/Her name is....---Where is your pen pal from? ---He/She is from...---Where does he/she live? ---He/She lives in....---What language does he/she speak?He/She speaks...Write the new words on the Bb. They are following: EnglishChineseJapaneseFrenchStep 3 LearnLearn the new words with the whole class.Finish 3a with the students3b Pairwork T still does an example with one student Then the Ss practise in pairs. The example is following:--Curry Muray is my pen pal. He is from the United States.---What language does he speak?
Don’t fight. =You can’t fight. (板书,教读)教师把这些句子板书在黑板上,并请学生大声整齐地读祈使句和“can’t”句型,并让学生注意两种句型表达形式的不同和转换,“Don’t …=You can’t…”;并对学生说:These are our school rules. (板书,教读) You can’t break the school rules. Don’t break the school rules.(板书,教读)步骤3 :Practicea. T: Now, each of the students is breaking one of these rules.Please finish 1a.学生看图,完成1a的内容,检查答案并大声朗读校规。b. 听录音,完成1b,选出四位学生都违反了哪条校规;听之前,学生要读会英文名。c. 请两位学生朗读1c部分的句型;要求学生两人一组对话表演,SA扮演外校转来新生,SB告知本校校规。(学生可经过讨论,多说出他们想到的校规,不必只限于书上;教师应给予帮助)2) 第二课时(2a~4)步骤1 :warming up of revisionT: What are the rules at your school?学生使用“can”或祈使句表达各条校规;其中老师可引出“eat in the cafeteria outside”的表达。步骤2 :Practicea.T: Christina is an exchange student. She doesn’t know the rules. Let’s listen, what activities they’re talking about?学生听第一遍时,完成2a;第二遍时,完成2b;b. 请学生领读2c部分,看着2a完成的表格,理解2c活动的要求;分成小组针对2a进行问答;
教学过程Step 1: warming-up Sing a song---------“food and drink” Step 2: Revision1 Dictation2 Revise: What kind of noodles would you like?I’d like …What size bowl of noodles would you like?I’d like…Step 3: Presentation1 show pictures of food, ask students say the words.2 Students read the newspaper ad in 3a. Fill in blanks with words in the box. Then read the ad together, the teacher explains some difficult language points.3 Check the answers Step 4 PracticeAsk students to finish 3b in the same way according to 3a. Students read the short passage and fill in the blanks .At last, check the answers.Step 5 productionAsk students to write their own ad for dumplings, noodles, drinks, and other foods they know. Then ask students to read their partner’s ad. Then order food and drink from their partner.Step 6 Home workGroup work – make an ad about “food and drink”
1 Each group choose one place to describe and what you are doing in it Choose one place, and describe what they are doing 2 Move around the room and give suggestions Talk about it and write it down 3 Ask one to show their works and act it Choose one of each group to make a report 4 Evaluate the best group and the best reporter Choose the best one Homework Ask your friends their ideal place and write about it教学反思:新课程标准中强调学生在课堂中的主体地位,在综合课中他们的主体地位就更加突出。在各个活动中给不同程度的学生不同层次的任务,让各层面的学生都有表现发挥的机会,从而产生对英语的兴趣。使用照片图片多媒体来辅助教学,效果更好。同时让了解其他国家风景,风俗的同学介绍ideal place,增加学生的背景知知识,实现跨学科交流的目的。教案点评:采用任务型教学模式,在各个活动中给不同程度的学生不同层次的任务,让各层面的学生都有表现发挥的机会,从而产生对英语的兴趣。使用照片图片多媒体来辅助教学,效果更好。让了解其他国家风景,风俗的同学介绍ideal place,增加学生的背景知识,实现跨学科交流的目的。
2.1Match the country with the language.Step II Reading3a? let the students read the letter fast and answer the questions.? Let the students ask more questions about the letter as possible as the can.Step III Writing3b.Step IV. Pairwork2cStep V Listening2a, 2bStep V. HomeworkExercises book(1) P3Exercises book (2) P3Period FourStep I . Dictate the words and sentences in Unit1.Step II. Self-checkStep III. Check the answers for Exercises book in the unit.Step IV. Home workRevise and preparation for unit 2.教学反思:通过本单元的学习,学生基本可以谈论人们的国籍,居住城市及其所说的语言,通过书信方式去介绍自己并寻找笔友。但在涉及到国外的一些城市时,学生对这方面的知识相对欠缺,能介绍的城市并不多,也反应出学生课前预习不充分,这跟学生学习条件也有关,大多数学生无法通过网络获取所需信息。因此,在以后的教学中要多指导学生通过计算机网络获取信息,拓宽知识面。
单元整体说明(一)单元教材分析本单元的核心话题是描述动物和表达个人喜好,以及句式why do you like…? Because…。这也是本单元的教学重点。通过本单元的学习,学生应能较流利地运用所学词汇和句型描述动物,表达个人喜好。(二)单元知识结构1.词汇动物名称 tiger, elephant, koala, dolphin, etc.词汇描述性形容词: smart, cute, ugly, clever, shy, etc.国家名: Australia, South Africa2.句型Why do you like koala hears? Because they are cute.Where are pandas from? They're from China.What animals do you like? I like dolphins.(三)单元整体目标1.Master the vocabulary2.Master and use: Why do you like koalas? Because they am cute.Where are pandas from? They're from China.What animals do you like? I like dolphins.(四)单元教学重难点一览(五)单元学情分析学生此前已经学过由why, where, what 引导的特殊疑问句句型,具有了学习本单元知识的认知前提。形形色色的动物能激发学生的好奇心,产生了解它们的欲望,这有利于本单元知识的教学和学生学习兴趣的培养。
(1)Have you ever been to …? Yes, I have. / Yes, I have ever been to …No, I haven’t. / No, I have never been to …(2)When did you go there? I went there last year. (3)I have never been to a water park. Neither have I. I have ever been to an amusement park. So have I. (4)How long have you been studying English? I’ve been studying English since nine o’clock. I’ve been studying English since I came back home. I’ve been studying English for five hours. (5)What’s that? It’s an amusement park in Japan. I’ve never been to an amusement park like it before. It’s fun to learn another language. Let’s go tonight. Isn’t this great?space museum, amusement park, water park, South America, Peru, Holland, European culture, tour guide, flight attendant, musical instrument, more than, be from, get to, take lessons, neither, discover, graduate, change
说明:在帮Li Lei提建议的同时,教育学生如何学好英语。第三课时教学目标1. 语言目标:a) 词汇: Original, in style, haircut, the same as.b) 语言结构:My friend wears the same clothes and has the same haircut as I do.2. 能力目标:大多数学生能够谈论自己喜欢哪种服装,提高查找信息的能力。3. 情感目标:学会如何与朋友相处,要有自己对时尚的看法。教学重点掌握一些重要词汇。教学难点学会谈论问题,并能提出书面建议。◆教学突破首先针对Erin的问题,提出个人的建议,模仿2c部分的对话展开双人交际Pair-work;听老师诵读3a部分的信件,并找出LEFT OUT的问题所在;学生完成3b部分的内容,给Left Out提出书面的建议;学以口头形式提出自己目前存在的某个问题,讲给大家听,让同学们给自己提出一个建议,并作笔录;学生两、三个人分成一组,随意性地进行口语交际,谈论P14的第4部分的某个问题,相互交换意见。
This activity introduces some new vocabulary and provide oral practice using the target language.Task 1 . Ask four students to stand in front of the class, and the teacher asks them the following questions as a reporter.1.What are you going to do when you grow up?2.What are you going to do next week?3.What are going to do after school?The students will give different answers, then ask a good student to report what they said.I am going to e a doctor.What did she say?----------She said she was going to be a doctor.I am going to have a party on Friday night.What did he say?-------He said he was going to have a party on Friday night.I am going to do my homework.What did she say ?------ She said she was going to do her homework.I am going home after school.What did she say?-----She said she was going home after school.Say In this unit we are going to learn to use words like to report what someone said.Task 2. Read the instructions. Then ask a student to read the four questions. And write the words on the Bb. Explain what soap opera is.Task 3. Ask the students to Look at the pictures, point out the TV screens in the picture. Ask one girl to read what Marcia said.What did Marcia say? She said She said she was having a surprise party for Lana on Friday night. Repeat the other pictures in the same way.Activity3. Listen and number the pictures in activity 1a.
Step Ⅱ Show the new words on the screen and teach the new words. Read the new words to students and ask them to repeat.Step Ⅲ 3aThis activity introduces new vocabulary and provides reading practice using the target language.In this activity first look at the four pictures.T: What can you see in the pictures?Ss: Four snow globes.T: Right. There are four snow globes in the pictures. And what are they?Ss: They are a monster, two polar bears, two penguins and a birthday cake.Write these words on the blackboard: snow globe; monster; polar bear; penguin and birthday cake. Read them to the class and ask students to repeat each one. Make sure students understand each word.Use a computer to show the E-mail message on the screen and read the message to students.Get students to read the e-mail on their own, and then draw lines connecting each snow globe and its description.Correct the answers.AnswersA line should connect each snow globe picture with the words that describe it in the letter.Step Ⅳ 3bThis activity provides writing practice using the target language.First review Activity 2a on Page 47.Then ask students to complete the message according to Activity 2a.Some partial sentences are given to students. Write about one person's collection.When students work, walk around the room checking the progress and offering help as needed.When they finish, ask some students to read their messages to the class.
Step 4. Group work (4)1. Ask a pair of students to read the dialogue. Say, This activity provides speaking, listening and writing practice using the target language.2. Ask students to complete the work in groups.3. Check the answers with the whole class. 4. Explain some of the language points. Step 5. Word review (Self check 1)1. Ask students to read the words and the phrases given. 2. Fill in the blanks with proper forms of these words to complete the sentences. 3. Check the answers with the whole class. Homework:Do activity 2 on page 57 after class. Period 6Teaching aims: 1. Teach vocabulary words and the useful expressions. 2. Enable the students to learn etiquette in different culture. 3. Help the students learn how to behave politely in public places and in daily life. Teaching procedures:Step 1. RevisionHelp students to review the function of making requests through a free talk. Then lead them to the topic of etiquette. Explain the meaning of etiquette. Or, ask students to look it up in the dictionary. Step 2. Pre-reading (Section 1)1. Ask students to read the picture and make a list with their partner about how many rules of etiquette can be seen being broken.
1. 教材分析本单元以how do things affect you?为话题, 从颜色、天气、音乐、广告、产品等方面谈论了外界事物如何影响人的心情。要求学生掌握表达某物或某事给人带来的感觉、看法或影响等。共设计了四个部分的内容:Section A 该部分有4个模块:第一模块围绕Which restaurant would you like to go to?这一话题展开思维(1a)、听力(1b)、口语(1c)训练;第二模块围绕How does music affect you? 进行听力(2a-2b)、口语训练(2c);第三模块继续围绕how do colors in the restaurant affect you这一话题展开训练,训练形式为阅读和问题体验(3a)和小组活动(3b);第四模块仍就How do things affect you这一话题以调查的形式展开讨论。Section B该部分有4个模块:第一模块围绕产品广告对人们的影响这一话题以“配对”(1a)与“列举”(1b)两种形式展开训练;第二模块继续围绕How do things affect you? 进行听力(2a-2b)、口语对话训练(2c);第三模块围绕“Advertising”这一话题展开阅读(3a-3b)和写作(3c)训练;第四模块围绕How posters affect you这一话题以口语训练形式展开小组活动。
本单元主要围绕着有关濒临灭绝的动物这一话题,学习了应该怎样保护我们的环境,以及就某一问题展开辩论。目标提示语言目标能够运用所学知识,就某一问题展开辩论。认知目标1、复习一些语法:现在进行时、一般现在时、用used to 表示一般过去时、现在完成时、一般过去时的被动语态。2、学会表达同意和不同意。3、学会以下基本句型:We’re trying to save the manatees.Manatees eat about 100 pounds of food a day.There used to be a lot of manatees.In 1972,it was discovered that they were endangered.Some of the swamps have become polluted.情感目标了解一些濒临灭绝的动物的生活习性和濒临灭绝的原因,教育学生应该如何保护环境。教学提示充分利用多媒体等教学设备,创设与本课话题相关的情境,如各种不同种类的动物、动物园以及有关环境的画画等等。围绕着本单元的教学目标,设计一些贴近学生实际的教学任务,如让学生谈论自己最喜欢的动物,如何拯救濒危动物,如何保护环境等等。让学生根据所学知识,就动物园是否对动物有利以及其他的话题进行辩论。
Teaching Goal:1. General aims:Talk about recent past events2. Particular aims:A. Language Focus.Talk about recent past events and think of the past events.B. Language goalsHow was….?It was …What did …do over the weekend?C. Language structures:(1). How was your weekend? I was great. Pay attention to no form.(2). What did you do over the weekend? I played soccer. We went to the beach.D. Useful words and phrases:Words: was, did, went, beach, over, project, test, wasn’t, false, number, geography, spend, week, most, mixture, their, had, little, cook, read, saw, change, everyone, sit, sat, no, anythingPhrases: did one’s homework, played soccer, cleaned my room, went to the beach, played tennis, went to the movies, on Saturday morning, over the weekend, cook … for, what about, do some reading, have a party, talk show, go shoppingE. Grammar language:Present simple past tenseRegular and irregular verbsF. Learning strategies:Tour and holidaysG. Interdiscipinary:H. Emotion and manner:Teaching time: 5 periodsTeaching procedures:Period One教学步骤、时间 教师活动 学生活动 媒体应用Step 1Free talk 3’ Ask some questions like:Who’s on duty today?What’s the weather like? Answer and talk about something.让同学们回答下列问题1. Do you like weekend? (Let some students answer)It takes them three minutes to talk about the question.2. Why do you like weekend? (let the students answer) Most of the students like the weekend此时教师用汉语问:“在周末期间问你干了什么?这句话用英语这么回答?Let the students guess.At last the teacher give them right answer3. What did you do over the weekend?(板书、学习)
所需要用到的句子:Who is that?That is Jack. I like him.Why do you like him?I like him because he is interesting.Task 4: 设计理想中的人类Step one: 设计理想中的人类的外貌。把全班同学分成若干小组,学生可以边说边在纸上画出他们的模样。Step two: 设计理想中人类的性格。学生们可以把那些能描述性格的单词写在图画的旁边。Step three: 每组选出一名同学,其他同组同学提问,他作简单回答,并说明原因。所需用到的句子:What does he or she look like?He or she ...What is he or she like?He or she is ...Why?Because ...Task 5: 挑战性活动调查性格是天生的还是后天形成的,让每个同学回家去调查一下自己成长过程中性格是否有变化,具体是怎样的,为什么会这样? Teaching Aims:1. Enable students to have a general understanding of how to talk about people's physical appearance.2. Enable students to tackle some essential vocabularies and patterns about describing people. Provide them with necessary skills and methods.3. Create various chances for students to describe the persons they're familiar with, such as classmates, family members, teachers, idols, etc.
PPT全称是PowerPoint,LFPPT为你提供免费PPT模板下载资源。让你10秒轻松搞定幻灯片制作,打造⾼颜值的丰富演示文稿素材模版合集。