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第七周国旗下讲话稿:请以耐心爱上这三年

  • 人教版新目标初中英语八年级下册It’s a nice day, isn’t it教案2篇

    人教版新目标初中英语八年级下册It’s a nice day, isn’t it教案2篇

    "Hello! Welcome to English class! Introduce yourself. Meet your new classmates." That's what the teacher says. What do you say? "Oh no!" It can be difficult talking to new people. But it can be fun, and you can make friends. How do you do it? Make small talk. Small talk is polite conversation. "Wang Nan is a great pingpang player, isn't she?" "I'd love to meet her, wouldn't you?" "It's been raining a lot, hasn't it?" Tag questions are a form of polite speech. To make small talk successfully, you should know how to make them. You should also know what topics to talk about. Try to learn this unit carefully. The next time you're in English class, you'll find out. Making small talk's easy, isn't it? (“你好!欢迎你!请做一下自我介绍。认识一下你的新同学。”通常在课上老师会这样说。你会说什么呢?“噢,不!”与陌生人谈话太困难了。但是这也很有意思,并且你还能交到朋友。你该怎么做呢?闲聊。闲聊指得是礼貌的对话。“王楠是一个很棒的乒乓球运动员,不是吗?”“我希望自己能认识她,你呢?“今年的雨水很多,不是吗?”反意疑问句是一种礼貌用语。为了使得谈话成功,你应该知道怎样去进行闲聊。你还应该知道与不同的人该谈论什么样的话题。认真的学习这个单元吧,下次在英语课上,你会发现与大家展开谈话是一件很容易的事情,不信我们来试试。)

  • 人教版新目标初中英语八年级下册He said I was hard-working教案2篇

    人教版新目标初中英语八年级下册He said I was hard-working教案2篇

    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.

  • 人教版新目标初中英语八年级下册How long have you been collecting shells教案2篇

    人教版新目标初中英语八年级下册How long have you been collecting shells教案2篇

    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.

  • 人教版新目标初中英语八年级下册What were you doing when the UFO arrived教案2篇

    人教版新目标初中英语八年级下册What were you doing when the UFO arrived教案2篇

    (一).知识方面: 1.培养学生能运用过去进行时来描述、谈论过去某个时间正在发生的事情或动作的意识和能力,能就过去某个时间正在发生的动作做出正确的描述。 2.培养学生的想象力和角色扮演的合作能力。 3.培养学生讲述过去发生的事情经过的能力。能正确运用一般过去时来讲述故事。 (二).技能方面: 1.本单元的语言目标是Talk about past events and tell a story(谈论过去的时间和讲述一个故事),围绕这一目标,要涉及句型: What were you doing when the UFO arrived? ----I was sitting in the barber’s chair. The barber was cutting my hair. 因此必须学习standing、studying、cleaning、sleeping、cooking、making、eating、cutting、等表示地点的词,以便为上述句型提供语言材料。2.学习过去进行时的有关知识。Was/were+现在分词,是该时态的表达式。 3.在学习过程中,要区分The boy was walking down the street when the UFO landed.和While the boy was walking down the street, the UFO landed.这两种由when和while引导的状语从句的句型结构。注意它们的不同。

  • 人教版新目标初中英语八年级下册Why don’t you get her a scarf教案

    人教版新目标初中英语八年级下册Why don’t you get her a scarf教案

    教师带领学生复习有关描述宠物的词汇,采用教师提问学生回答的方进行。如:T:What animals do you think would be good pets?What animals do you think would be bad pets?What do you think are good animals for a six-year-old child?然后学生进行 pairwork 练习。Task two: 师生互动,学习探究 1、播放3a部分的录音,引导学生一边听录音,一边跟读。2、通过听录音学生回答以下问题:Why do you think pot-bellied pigs are popular?What are the advantages and disadvantages of keeping such a pet?教师对学生的回答进行及时点评。3.学习范文,学习重点短语,为下步的模仿写作提供语言素材。T :1. )Have you ever kept a pig as a pet?Do you like pigs? St.:No.…Why don’t you like to keep a pig? St: No.They’re too dirty and lazy(Do you know in some foreign countries like Hollyland, Australia,pigs are the most popular pet.there’s a kind of pig.(图)it has an interesting name? it ‘s called a pot-bellied pig.) Now,let’s learn an article about this kind of interesting pet.2.)play the tapeSt.:Listen and repeat3.)show some Qs on computer(本子St.: read silently,then answerthe Qs(本子)4.)Ask ss. Close book and retell this passage.(what is a pot-bellied pig? Is it a good or bad pet? ) St.: retell it to each other“A pot –bellied pig is a popular pet now…”5.read the article together.St.:.practice reading

  • 人教版新目标初中英语八年级下册Would you mind turning down the music教案

    人教版新目标初中英语八年级下册Would you mind turning down the music教案

    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.

  • 人教版新目标初中英语九年级下册By the time I got outside, the bus had already left教案

    人教版新目标初中英语九年级下册By the time I got outside, the bus had already left教案

    Ⅰ. Teaching Aims and Demands1. Knowledge Objects(1) Key Vocabularyoversleep(2) Target LanguageWhat happened?I overslept. And by the time I got up, my brother had already gotten in the shower.2. Ability Objects(1) Teach the students to use the new words.(2) Train the students to narrate past events with the Past Perfect Tense.(3) Train the students' listening and speaking skills with the target language.3. Moral ObjectIt’s a good habit to go to bed early in the evening and get up early in the morning. So you’ll never be in a hurry in the morning.Ⅱ. Teaching Key Points1. Key Vocabularyoversleep2. Target LanguageNarrate past events with the Past Perfect TenseⅢ. Teaching Difficult Points1. Train the students to narrate past events with the Past Perfect Tense.2. Train the students to understand the target language in spoken conversation.Ⅳ. Teaching Methods1. Thinking of examples from the students' real lives.2. Making sentences by looking at the pictures.Ⅴ. Teaching AidA tape recorderⅥ. Teaching ProceduresStep I Revision1. Revise the language points in Unit 8.Ask some questions like this: What volunteer work would you like to do?Help the students to answer, I’d like to…/I love to…/I hope to2. Practice the dialogue in Activity 3c on page 62 again. Get students to role play the similar dialogues with the following.

  • 人教版新目标初中英语九年级下册Rainy days make me sad教案

    人教版新目标初中英语九年级下册Rainy days make me sad教案

    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。

  • 人教版新目标初中英语九年级下册Could you please tell me where the restrooms are教案

    人教版新目标初中英语九年级下册Could you please tell me where the restrooms are教案

    Step Ⅰ RevisionCheck homework. Ask a few students to read the article in 3a.Then ask a few students to read their guides.Step Ⅱ Part 1Look at the words in the box. Ask a student to read them. Make sure the students understand the meaning of the words. You are to fill in the blanks with the words. In some cases, students may need to use another form of the word, for example adjusting for tense or subject/ verb agreement.Ask students to fill in the blanks on their own.Check the answers. Step ⅢPart 2Go through the instructions with the class.Look at the example with the students.Ask students what the answer would be.Ask a student to read the question and answer it.Excuse me, could you tell me where the bank is, please?The bank is across the street from the shopping malt.Get students to complete the work in pairs.Check the answers. Ask a few students to read their questions.Step Ⅳ Just for Fun!Ask all the students to read the conversation. Ask: What is funny about this cartoon? Help students to explain. A Martian is a person from the planet Mars.There is no such thing as Martian food on Earth, and the clerk looks silly because he is trying to think of where there is a Martian restaurant.Invite some pairs of students to present this conversation to the rest of the class.Step Ⅴ Summary and HomeworkIn this class, we’ve done much writing practice using the key vocabulary words and the target language presented in this unit. After class, please finish the questions in 2 in your exercise books. Then finish the exercises on pages 47~48 of the workbook as well.The Seventh Period Ⅰ Teaching Aims and Demands1. Knowledge Objects(1) Key Vocabularyimage, adventure, jealousy, hero, crime, journey, brave, no longer, show interest in, take it easy, become interested in, plain looks(2)Text:Grown-ups like cartoons, too.2. Ability Objects(1) Fast-reading to get a general idea of the text.(2) Careful-reading to get the detailed information in the text.

  • 人教版新目标初中英语九年级下册I’ll help clean up the city parks教案

    人教版新目标初中英语九年级下册I’ll help clean up the city parks教案

    Talk about offering help (P60)I’ll help clean up the city parks.A: I’d like to work ...B: You could help ...Talk about ways to tell people about the Clean-Up Day (P61)We need to ...We can’t ...I’ll ...Talk about the work the volunteers do (P62)These three students all volunteer their time to help other people.Somebody loves to ... / helps ... / plans to ... / wants to ...A: What do you like doing?B: I like ... A: What kind of volunteer work do you think I could do?B: You could ...1. 重点词汇advertisement, fix, repair, pleasure, blind, deaf, shut, carry, specially, fetch2. 认读词汇hunger, homeless, cheer, clean-up, sign, establish, major, commitment, elementary, veterinarian, coach, similar, call-in, strategy, disabled, organization, unable, support, appreciate, donation, part of speech, pronoun, adverb, preposition, conjunction, donate, Jimmy, Sally3. 词组clean up, cheer up, give out, put off, set up, think up, take after, fix up, give away, put up, hand out, work out, at once

  • 人教版新目标初中英语九年级下册We’re trying to save the manatees教案2篇

    人教版新目标初中英语九年级下册We’re trying to save the manatees教案2篇

    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。

  • 北师大初中九年级数学下册二次函数与一元二次方程2教案

    北师大初中九年级数学下册二次函数与一元二次方程2教案

    教学目标:1.知道二次函数与一元二次方程的联系,提高综合解决问题的能力.2.会求抛物线与坐标轴交点坐标,会结合函数图象求方程的根.教学重点:二次函数与一元二次方程的联系.预设难点:用二次函数与一元二次方程的关系综合解题.☆ 预习导航 ☆一、链接:1.画一次函数y=2x-3的图象并回答下列问题(1)求直线y=2x-3与x轴的交点坐标; (2)解方程2x-3=0(3)说出直线y=2x-3与x轴交点的横坐标和方程根的关系2.不解方程3x2-2x+4=0,此方程有 个根。二、导读画二次函数y= x2-5x+4的图象1.观察图象,抛物线与x轴的交点坐标是什么?2.求一元二次方程x2-5x+4=0的解。3.抛物线与x轴交点的横坐标与一元二次方程x2-5x+4=0的解有什么关系?(3)一元二次方程ax2+bx+c=0是二次函数y=ax2+bx+c当函数值y=0时的特殊情况.二次函数y=ax2+bx+c的图象与x轴交点的横坐标与一元二次方程ax2+bx+c=0的根有什么关系?

  • 人教版新目标初中英语九年级下册You’re supposed to shake hands教案

    人教版新目标初中英语九年级下册You’re supposed to shake hands教案

    教学目标:1. 掌握本单元一些重点词汇的写法和用法。2. 学会自如谈论餐桌礼仪。Step 1 RevisionAsk some students to retell the customs at the table in France in the passage in 3a.Step 2 Self checkPart 1. Fill in each bland with the correct word given. Students do the exercises by themselves at first. Then check the answers. Ask the students to comprehend the sentences and help them point out uses of some words, like “arrive (at / in) sw., spend time / money on sth , spend time / money (in) doing sth.”Part 2. Read about Fan Ling’s experience in a western restaurant. Understand the passage. Point out some key points in the passage.1. be / get used to doing sth. 习惯做某事2. begin with = start with 以….开头3. crowd v. 挤满,塞满 the crowd 人群 crowded adj. 拥挤的Then students discuss about how she would solve her problem. Ask some to share their stories with others.Part 3. Complete the crossword by looking at the sentences on the left. Then check the answers.

  • 北师大初中八年级数学下册变形后提公因式因式分解教案

    北师大初中八年级数学下册变形后提公因式因式分解教案

    (3)分解因式:1+x+x(x+1)+x(x+1)2+…+x(x+1)n(n为正整数).解析:(1)根据已知计算过程直接得出因式分解的方法即可;(2)根据已知分解因式的方法可以得出答案;(3)由(1)中计算发现规律进而得出答案.解:(1)因式分解的方法是提公因式法,共应用了3次;(2)分解因式1+x+x(x+1)+x(x+1)2+…+x(x+1)2015,需应用上述方法2016次,结果是(1+x)2015;(3)1+x+x(x+1)+x(x+1)2+…+x(x+1)n=(1+x)n+1.方法总结:解决此类问题需要认真阅读,理解题意,根据已知得出分解因式的规律是解题关键.三、板书设计1.提公因式分解因式的一般步骤:(1)观察;(2)适当变形;(3)确定公因式;(4)提取公因式.2.提公因式法因式分解的应用本课时是在上一课时的基础上进行的拓展延伸,在教学时要给学生足够主动权和思考空间,突出学生在课堂上的主体地位,引导和鼓励学生自主探究,在培养学生创新能力的同时提高学生的逻辑思维能力.

  • 北师大初中八年级数学下册不等式的基本性质教案

    北师大初中八年级数学下册不等式的基本性质教案

    【类型二】 根据不等式的变形确定字母的取值范围如果不等式(a+1)x<a+1可变形为x>1,那么a必须满足________.解析:根据不等式的基本性质可判断a+1为负数,即a+1<0,可得a<-1.方法总结:只有当不等式的两边都乘(或除以)一个负数时,不等号的方向才改变.三、板书设计1.不等式的基本性质性质1:不等式的两边都加上(或减去)同一个整式,不等号的方向不变;性质2:不等式的两边都乘(或除以)同一个正数,不等号的方向不变;性质3:不等式的两边都乘(或除以)同一个负数,不等号方向改变.2.把不等式化成“x>a”或“x<a”的形式“移项”依据:不等式的基本性质1;“将未知数系数化为1”的依据:不等式的基本性质2、3.本节课学习不等式的基本性质,在学习过程中,可与等式的基本性质进行类比,在运用性质进行变形时,要注意不等号的方向是否发生改变;课堂教学时,鼓励学生大胆质疑,通过练习中易出现的错误,引导学生归纳总结,提升学生的自主探究能力.

  • 北师大初中八年级数学下册多边形的内角和与外角和教案

    北师大初中八年级数学下册多边形的内角和与外角和教案

    方法总结:解题的关键是由题意列出不等式求出这个少算的内角的取值范围.探究点二:多边形的外角和定理【类型一】 已知各相等外角的度数,求多边形的边数正多边形的一个外角等于36°,则该多边形是正()A.八边形 B.九边形C.十边形 D.十一边形解析:正多边形的边数为360°÷36°=10,则这个多边形是正十边形.故选C.方法总结:如果已知正多边形的一个外角,求边数可直接利用外角和除以这个角即可.【类型二】 多边形内角和与外角和的综合运用一个多边形的内角和与外角和的和为540°,则它是()A.五边形 B.四边形C.三角形 D.不能确定解析:设这个多边形的边数为n,则依题意可得(n-2)×180°+360°=540°,解得n=3,∴这个多边形是三角形.故选C.方法总结:熟练掌握多边形的内角和定理及外角和定理,解题的关键是由已知等量关系列出方程从而解决问题.

  • 北师大初中八年级数学下册分式方程的应用教案

    北师大初中八年级数学下册分式方程的应用教案

    解:(1)设第一次购买的单价为x元,则第二次的单价为1.1x元,根据题意得14521.1x-1200x=20,解得x=6.经检验,x=6是原方程的解.(2)第一次购买水果1200÷6=200(千克).第二次购买水果200+20=220(千克).第一次赚钱为200×(8-6)=400(元),第二次赚钱为100×(9-6.6)+120×(9×0.5-6.6)=-12(元).所以两次共赚钱400-12=388(元).答:第一次水果的进价为每千克6元;该老板两次卖水果总体上是赚钱了,共赚了388元.方法总结:本题具有一定的综合性,应该把问题分解成购买水果和卖水果两部分分别考虑,掌握这次活动的流程.三、板书设计列分式方程解应用题的一般步骤是:第一步,审清题意;第二步,根据题意设未知数;第三步,根据题目中的数量关系列出式子,并找准等量关系,列出方程;第四步,解方程,并验根,还要看方程的解是否符合题意;最后作答.

  • 北师大初中八年级数学下册分式的基本性质教案

    北师大初中八年级数学下册分式的基本性质教案

    【类型二】 分式的约分约分:(1)-5a5bc325a3bc4;(2)x2-2xyx3-4x2y+4xy2.解析:先找分子、分母的公因式,然后根据分式的基本性质把公因式约去.解:(1)-5a5bc325a3bc4=5a3bc3(-a2)5a3bc3·5c=-a25c;(2)x2-2xyx3-4x2y+4xy2=x(x-2y)x(x-2y)2=1x-2y.方法总结:约分的步骤;(1)找公因式.当分子、分母是多项式时应先分解因式;(2)约去分子、分母的公因式.三、板书设计1.分式的基本性质:分式的分子与分母都乘以(或除以)同一个不为零的整式,分式的值不变.2.符号法则:分式的分子、分母及分式本身,任意改变其中两个符号,分式的值不变;若只改变其中一个符号或三个全变号,则分式的值变成原分式值的相反数.本节课的流程比较顺畅,先探究分式的基本性质,然后顺势探究分式变号法则.在每个活动中,都设计了具有启发性的问题,对各个知识点进行分析、归纳总结、例题示范、方法指导和变式练习.一步一步的来完成既定目标.整个学习过程轻松、愉快、和谐、高效.

  • 北师大初中八年级数学下册分式的有关概念教案

    北师大初中八年级数学下册分式的有关概念教案

    解析:由分式有意义的条件得3x-1≠0,解得x≠13.则分式无意义的条件是x=13,故选C.方法总结:分式无意义的条件是分母等于0.【类型三】 分式值为0的条件若使分式x2-1x+1的值为零,则x的值为()A.-1 B.1或-1C.1 D.1和-1解析:由题意得x2-1=0且x+1≠0,解得x=1,故选C.方法总结:分式的值为零的条件:(1)分子为0;(2)分母不为0.这两个条件缺一不可.三、板书设计1.分式的概念:一般地,如果A、B表示两个整式,并且B中含有字母,那么式子AB叫做分式.2.分式AB有无意义的条件:当B≠0时,分式有意义;当B=0时,分式无意义.3.分式AB值为0的条件:当A=0,B≠0时,分式的值为0.本节采取的教学方法是引导学生独立思考、小组合作,完成对分式概念及意义的自主探索.提出问题让学生解决,问题由易到难,层层深入,既复习了旧知识又在类比过程中获得了解决新知识的途径.在这一环节提问应注意循序性,先易后难、由简到繁、层层递进,台阶式的提问使问题解决水到渠成.

  • 北师大初中八年级数学下册分式方程的概念及列分式方程教案

    北师大初中八年级数学下册分式方程的概念及列分式方程教案

    探究点二:列分式方程某工厂生产一种零件,计划在20天内完成,若每天多生产4个,则15天完成且还多生产10个.设原计划每天生产x个,根据题意可列分式方程为()A.20x+10x+4=15 B.20x-10x+4=15C.20x+10x-4=15 D.20x-10x-4=15解析:设原计划每天生产x个,则实际每天生产(x+4)个,根据题意可得等量关系:(原计划20天生产的零件个数+10个)÷实际每天生产的零件个数=15天,根据等量关系列出方程即可.设原计划每天生产x个,则实际每天生产(x+4)个,根据题意得20x+10x+4=15.故选A.方法总结:此题主要考查了由实际问题抽象出分式方程,关键是正确理解题意,找出题目中的等量关系,列出方程.三、板书设计1.分式方程的概念2.列分式方程本课时的教学以学生自主探究为主,通过参与学习的过程,让学生感受知识的形成与应用的价值,增强学习的自觉性,体验类比学习思想的重要性,然后结合生活实际,发现数学知识在生活中的广泛应用,感受数学之美.

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