
(2)问销售该商品第几天时,当天销售利润最大,最大利润是多少?解析:(1)分1≤x<50和50≤x≤90两种情况进行讨论,利用利润=每件的利润×销售的件数,即可求得函数的解析式;(2)利用(1)得到的两个解析式,结合二次函数与一次函数的性质分别求得最值,然后两种情况下取最大的即可.解:(1)当1≤x<50时,y=(200-2x)(x+40-30)=-2x2+180x+2000;当50≤x≤90时,y=(200-2x)(90-30)=-120x+12000.综上所述,y=-2x2+180x+2000(1≤x<50),-120x+12000(50≤x≤90);(2)当1≤x<50时,y=-2x2+180x+2000,二次函数开口向下,对称轴为x=45,当x=45时,y最大=-2×452+180×45+2000=6050;当50≤x≤90时,y=-120x+12000,y随x的增大而减小,当x=50时,y最大=6000.综上所述,销售该商品第45天时,当天销售利润最大,最大利润是6050元.方法总结:本题考查了二次函数的应用,读懂表格信息、理解利润的计算方法,即利润=每件的利润×销售的件数,是解决问题的关键.

如图所示,要用长20m的铁栏杆,围成一个一面靠墙的长方形花圃,怎么围才能使围成的花圃的面积最大?如果花圃垂直于墙的一边长为xm,花圃的面积为ym2,那么y=x(20-2x).试问:x为何值时,才能使y的值最大?二、合作探究探究点一:二次函数y=ax2+bx+c的最值已知二次函数y=ax2+4x+a-1的最小值为2,则a的值为()A.3 B.-1 C.4 D.4或-1解析:∵二次函数y=ax2+4x+a-1有最小值2,∴a>0,y最小值=4ac-b24a=4a(a-1)-424a=2,整理,得a2-3a-4=0,解得a=-1或4.∵a>0,∴a=4.故选C.方法总结:求二次函数的最大(小)值有三种方法,第一种是由图象直接得出,第二种是配方法,第三种是公式法.变式训练:见《学练优》本课时练习“课堂达标训练” 第1题探究点二:利用二次函数求图形面积的最大值【类型一】 利用二次函数求矩形面积的最大值

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?

解析:(1)由切线的性质得AB⊥BF,因为CD⊥AB,所以CD∥BF,由平行线的性质得∠ADC=∠F,由圆周角定理的推论得∠ABC=∠ADC,于是证得∠ABC=∠F;(2)连接BD.由直径所对的圆周角是直角得∠ADB=90°,因为∠ABF=90°,然后运用解直角三角形解答.(1)证明:∵BF为⊙O的切线,∴AB⊥BF.∵CD⊥AB,∴∠ABF=∠AHD=90°,∴CD∥BF.∴∠ADC=∠F.又∵∠ABC=∠ADC,∴∠ABC=∠F;(2)解:连接BD,∵AB为⊙O的直径,∴∠ADB=90°,∴∠A+∠ABD=90°.由(1)可知∠ABF=90°,∴∠ABD+∠DBF=90°,∴∠A=∠DBF.又∵∠A=∠C,∴∠C=∠DBF.在Rt△DBF中,sin∠DBF=sinC=35,DF=6,∴BF=10,∴BD=8.在Rt△ABD中,sinA=sinC=35,BD=8,∴AB=403.∴⊙O的半径为203.方法总结:运用切线的性质来进行计算或论证,常通过作辅助线连接圆心和切点,利用垂直构造直角三角形解决有关问题.

(一)社会安全教育 1.了解在公共场所活动时的安全常识,遵守公共规则,避免扰乱公共秩序行为的发生。 2.认识与陌生人交往中应当注意的问题,逐步形成基本的自我保护意识。 3.了解社会安全类突发事故的危险和危害,提高自我保护能力。引导学生形成基本的自我保护意识。

l 服从学校和部门的工作安排,严格根据课程安排,充分备课以完成教学任务;l 布置并检查学员作业,与家长沟通学员学习情况;l 对学员的学习结果负责,解决学员在英语学习中的疑难,并提供专业的咨询和学习建议;l 激发学生学习的兴趣,参与完成小学四、五年级学生的课程规划及正常授课任务;l 协助完成班主任工作,监督课间操出勤情况、卫生区的清洁问题和指导学生晚修等。l 在传授基本知识的基础上,注重培养学生对人文学科的兴趣,提高文学素养;l 协助完成班主任工作,监督课间操出勤情况、卫生区的清洁问题和指导学生晚修等;

1.悬念法悬念法又称关子。它是作者为了激发那种“紧张与期待的心理活动”,在行文中有意采取的一种积极而有效的手段。这种手段包括“设悬”和“解悬”两方面。所谓 “设悬”就是设置悬念,即在情节发生发展的关键时刻或人物命运攸关的重要关头,叙述戛然而止,转叙他事。从而引起读者强烈的寻根问底的兴趣。所谓“解悬” 也叫“释悬”,就是指在情节发展的特定阶段,通过矛盾的解决,揭示事情原委和人物命运的结局,使读者的期待心理得以满足。如《驿路梨花》,当人们正为露宿而发愁时出现了一间神秘的小屋,小屋的主人是谁呢?猜想间,有人来了,但也不是屋子主人,那小屋子的主人是谁呢?终于知道了小屋是解放军盖的,但为什么要盖这间小屋呢?这样“设悬——释悬——带出新悬念”,环环相扣、层层递进,使文章韵味无穷。

天上有明月,年年照相思。她夜夜沉醉在梦中。梦把空间缩短了,梦把时间凝固了,梦把世界净化了。梦中没有污秽,没有嘈杂,没有邪恶;梦中没有分离,没有创伤,没有痛苦;梦中只有柔和的月色,只有温馨的爱;梦使她永远年轻,使她不原醒来。…………啊,那个世界,是为天下最真最善最美的心灵准备的,艺术家怀着虔诚的情感,用充满魔力的琴弦,在人们的心中筑起了一座不朽的天堂,它像天地一样长久,日月一样永恒!新月微微地闭着眼睛,她清清楚楚地看到了那座天堂,真真切切地触到了那座天堂,冰凌砌成墙壁,白云铺成房顶,雾霭织成纱幔,星星串成明灯;在那里,她的头发像沐浴之后那样清爽柔软,随风飘拂,她的肌肤像披着月光那样清凉润滑,她的那颗心啊,像浸润着蒙蒙细雨的花蕾,挂着晶莹的露珠,自由地呼吸……她沉醉在那个一尘不染的美好的境界,如歌如诗,如梦如幻,如云如月,如水如烟……

3.作者为什么不直接描写人们看见东西呢?请同学们找出其中的细节描写,并说明有什么表达效果。答:侧面烘托,正是作者高明之处,这也是许多佳作常用之法。细节描写往往会成为事情的切入点和突破口,一篇佳作往往离不开一些细节描写,本文也不例外,有些细节描写耐人寻味,如:“德国人撤退时炸毁的布热金卡毒气室和焚尸炉废墟上,雏菊花在怒放。”“这是一个二十多岁的姑娘,长得丰满,可爱,皮肤细白,金发碧眼。她在温和地微笑着,似乎是为着一个美好而又隐秘的梦想而微笑。”4.句子赏析:“对另外一些人来说,这样一个事实使他们终生难忘:在德国人撤退时炸毁的布热金卡毒气室和焚尸炉废墟上,雏菊花在怒放。”明确:一边是戕害生命的毒气室和焚尸炉,一边是生机勃勃的生命,两种反差极大的事物摆在一起。表达了作者对纳粹的讽刺:纳粹的残暴终归阻止不了生命的进程。同时也表达了作者的控诉:生命的绽放是人世间最美好的事情,对生命的戕害是最恶劣的罪行。

一、教学目标1.指导学生以一颗真挚的童心、爱心面对大自然,促使学生的心灵与大自然亲切交流。2.使学生明确写景文章的写作范围、写作重点、构思技巧。二、教学重难点明确话题,写景抓住特征,注重感情。三、教学方法多重对话法四、教学过程1.导入语:自然是人类生活的环境,是人类赖以生存的基础。人类不仅在物质上需要大地母亲的哺育,而且在精神上也需要向自然寻求依托。当知时节的春雨飘落大地时,当秋风吹来诱人的果香时,感到喜悦、幸福的决不仅是农民;过去的政治家、文学家,每当失意的时候,就会寄情山林;就是我们中学生,当不堪学习重负,感到身心疲惫的时候,去野外踏青,不也能愉悦身心吗?可以说人对自然的情怀是与生俱来的。但不同的人,对自然的感悟有深浅不同,情趣有高下之分。“万类霜天竞自由”的感悟,“大漠孤烟直”的审美不是人人都能有的。2.面对大自然,通过什么样的手段来促使我们的感悟、审美向高深方向发展呢?哪位同学说说。

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.

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;

三、教学建议第一课时:1. Lead in (Vocabulary)A) Before class, teacher should collect some pictures of working places. For example: Bank, TV Station, Restaurant, Police Station, Hospital ...B) In class, show students the pictures (PowerPoint, OHP). Ask students to tell the name of the working places and the name of the jobs.Shop assistant, doctor, actor, reporter, police office, waiter, bank clerk, studentC) Do exercise 1a and 3a.2. Bingo GameAsk groups of students to make up pairs of cards with a job on one and the related workplace on the other. For example, waiter / restaurant, teacher / school, doctor / hospital. Encourage students to use both the job / workplace combinations in the book and the ones that students came up during class discussions. Be sure they have twice as many sets of cards as there are students in the group. They can make two sets of cards for a single job / workplace, if necessary. Then have each group mix up its set of cards and hand their cards out in random order. Each time a student gets a pair of cards that match, he or she can lay these cards down. The goal is to have no cards in your hand at the end.3. Task OneA) Ask students to work in pairs and ask the partner what does he / she want to be in the future.e. g. :What do you / does he / does she want to be?I want to be a.Why?Because it's (adj).B) Vocabulary: Section B, 1a4. Homework 1.2.

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。

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。

Step 1 Greeting Greet the class and check the homeworkStep 2 A duty report The S on duty gives a report on the rules in his home and lead in 3a “Sun Fei’s and Wu Yu’s rules” Step 3 ReadingSs read the conversation and write the two girls’ rules in the chart. Check the answers.Get Ss to read after the tape and then read aloud by themselves. Then, T explains the language points.Step 4 Pairwork 3bRole play. Use the information in chart to practice with the conversation in 3a covered. They can look at the sample conversation in the right box.Step 5 Task 2 “Who’s the best reporter?”Make a survey by asking any 5 students the questions in the chart in activity 4. Then give out a report about it. See who is the best reporter? And the best reporter will get a nice ball-pen.Step 6 Summary and homework:Write out the report in your exercise-books.Period ThreeStep 1 Greeting and a duty reportThe S gives a duty report talking about his experience of being late for school. Lead in the question “Do you ever get to school late? How often do you get to school late? Always, usually, sometimes, or never?Step 2 1a Get Ss to finish writing.Step 3 Pairwork 1b Get Ss to talk about their answers with their partners using the sample conversation in the box on the right.Step 4 Listening practice2a Lead-in: What will happen if you get to school late? What about Peter? Let’s listen to a conversation between Peter and his father. Get Ss to finish 2a (As usual, for the first time, Ss only listen.) Check the answers.

内容提示本单元主要内容是学会利用verb十by/with gerund表示方式方法来讨论学习英语的策略,认识自己在学习方面的长处和不足。初步了解现在完成时的结构和用法。现在完成时由助动词have/has+动词的过去分词构成,主要表示过去发生的某一动作对现在仍有影响或造成的后果,常与already,yet,just,ever,never等副词连用。教学目标一、学习目标(Language Goal) 1. Talk about how to study . 学会讨论各种学习方法和策略。2. Find out your suitable learning methods. 找出适合自己的学习方法。 二、语言结构(Language Structures) 1. Verb + by with gerund by+动名词短语 表示“通过…途径,方法” 2. How questions have引导的特殊疑问句 三、目标语言(Target Language) 1. How do you study for tests ? 你是怎样准备考试的?Well , I study by working with my classmates. 哦,我和同学们一起学习。2. Have you ever studied with a group ? 你曾经参加过学习小组吗?Yes , I have . I’ve learned a lot that way . 是的,参加过。通过这种方式我学了许多。

The First PeriodⅠ.Teaching Aims and DemandsKnowledge Objects(1) Key Vocabularytiring, educational, fascinating, thrilling, peaceful, exotic, trek, jungle, take it easy, explore, historic, site(2) Target LanguageWhere would you like to go on vacation?I’d like to trek through the jungle, because I like exciting vacations.2. Ability Objects(1)Train students to talk about places they would like to visit with the target language.(2)Train students to describe vacations with different adjectives.(3)Train students' listening skill.3. Moral Object,It′s more interesting to go on vacating somewhere instead of staying at home.Ⅱ. Teaching Key Points1. Key Vocabularytiring, educational, fascinating, thrilling, peaceful, exotic, trek, jungle, take it easy, explore, historic, site2. Target LanguageTalk about different places with the target language.Ⅲ. Teaching Difficult Points1. Describe vacations with different adjectives.2. Talk about different places with the target language.Ⅳ. Teaching Methods1. Teaching by illumination2. Teaching by doing chain drills3. Teaching by pairworkⅤ. Teaching Aids1. A tape recorder2. Some pictures of different places with famous views
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