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人教版高中政治必修1效率优先、兼顾公平教案

  • 人教版高中英语必修5Life in the Future说课稿5篇

    人教版高中英语必修5Life in the Future说课稿5篇

    Good afternoon, everyone. It’s my great pleasure to be here sharing my lesson with you. The content of my lesson is Senior English for China Book5 Unit 3 Life in the Future. I’ll be ready to begin this lesson from six parts: Analysis of the teaching material, Analysis of the students, Teaching aims and important and difficult points, Teaching methods and aids, Teaching procedures, and Blackboard design. First, let me talk about the teaching material.Part 1 Analysis of the Teaching Material:This unit is about what human beings’ life will be like in about one thousand years. By studying of this unit, we’ll Enable the students to know the changes in humans’ life and some new inventions bringing about the change and develop the interest in science. This lesson plays an important part in the English teaching in this unit. This is an important lesson in Book Five. From this lesson, it starts asking the Ss to grasp contents of each passage. Therefore, this lesson is in the important position of the teaching material. If the Ss can learn it well, it will be helpful to make the Ss learn the rest of this unit.Part 2 Analysis of the SsAs Senior2 Ss, they are at different levels of English fluency, some of them have lost interest in English. So during the lesson, I arrange a variety of activities to let all of them join in to attract their interest and let them be confident and taste the joy of success.

  • 人教版高中英语必修5Making the news说课稿4篇

    人教版高中英语必修5Making the news说课稿4篇

    今天我们来介绍一下必修五第四单元的授课方式。这个单元的题目是Making the news。应该是学生比较感兴趣的话题,学生往往对新闻工作充满好奇,所以我们可以利用这个机会多设计一些师生互动和学生互动,来激发起学习的积极性,提高学习效率。同时我们可以利用这个单元不仅帮助学生掌握语言知识,培养语言能力,同时让其了解新闻工作的重要性,培养起社会智能感。这个单元分为六个课时,它的教学目标是这样的:语言目标是掌握词汇表中的常用单词和短语,掌握倒装句的一些基本用法。 技能目标是能初步掌握约会的基本句型并在真实的场景下正确运用。新闻报道类文章的写作技能。采访的基本规范和沟通技能。情感目标是对新闻报道的客观性和真实性有更好的理解。对新闻记者的职业有更深入的了解,并能体会其工作的重要性。下面我们来介绍一下第一课时的授课方式,第一课的教学目标是这样的第一课时的教学目标语言目标:单词:Occupation, journalist, editor, photographer, curious, personality, enthusiasm

  • 人教版高中英语必修5The United Kingdom说课稿4篇

    人教版高中英语必修5The United Kingdom说课稿4篇

    Teaching Aims:Knowledge 1. Get the students to learn the useful new words and expressions in this section. Aims:2. Let the students learn about how the UK was formed and the four groups of invaders.1. Develop students’ reading ability and let them learn different Ability reading skills. Aims:2. Enable students to learn to talk about the United Kingdom and the Union Jack Emotional 1. Let students know more about the UK2. Develop students’ sense of cooperative learning Aims:Teaching Important Points:1. Let the students learn about the countries of the United Kingdom and the Union Jack2. Get the students to read the passage and know about how the UK was formed and the four groups of invaders.3. Have the students learn different reading skills.Teaching Difficult Ponts:1. Develop students’ reading ability.2. Enable students to talk about the United Kingdom and the Union Jack.3. Let students learn how the UK was formed geographically and historically.Teaching Methods:Showing pictures, asking, exercising, listening, reading etc.Teaching Aids:A computer,a projector and a blackboard.Teaching Procedures: 1) Show a map of the world, ask students the following questions:Where is the UK?What’s the full name of the UK?2) Ask the students work in pairs to do the quiz on Page 9.Do you want to test how many things you know about the United Kingdom? Let’s have a small test.Using the map on P9, students answer the following questions:?How many countries does the UK consist of? What are they??England is divided into three main areas. Do you know what they are? 1) Scanning (10Minutes )Let the students hold the questions asked in pre-reading and read the passagequickly and then let them do the following exercise.Join lines to the right answer.

  • 人教版高中地理必修2绿色产品知多少说课稿

    人教版高中地理必修2绿色产品知多少说课稿

    各小组派代表汇报。4、教师提出问题组织学生讨论:⑴要想了解更多的绿色食品,了解绿色食品的销售情况,我们应该怎么做?⑵要想了解广大消费者对绿色食品的态度,食用绿色食品的意义,是否懂得辨认绿色食品,以及什么样的人群对此知识最缺乏等,我们应该怎么做?组织学生汇报交流。5、做个“绿色食品”广告设计师。为你喜欢的绿色食品设计广告语,每组推荐一个。6、让学生了解绿色食品认证程序。7、绿色食品打“假”队员在行动。8、向学生介绍生态绿色食品基地。三、活动总结:通过研究、探讨,了解学生对绿色食品的态度。提问:民以食为天,吃,是一个大问题,如果你的爸爸妈妈让你到超市买牛奶、方便面等,你会选择什么样的食品?为什么?希望通过今天的学习,同学们能够做到绿色消费,也希望你们向自己的家人、向周围的了解学生对“无公害食品”、“有机食品”与“绿色食品”的认识。

  • 人教版高中地理必修2煤城焦作出路何在说课稿

    人教版高中地理必修2煤城焦作出路何在说课稿

    分析过焦作市的地理概况和产业优势后,就需要针对由于资源枯竭所带来的问题提出合理化的建议。既然是谈经济转型,就应该将话题的范围明确在这一领域内。通过材料3的相关内容,我们了解到焦作市需要在产业结构调整、培育新的优势产业、增强综合竞争力等三个整改方针上下功夫。因而引导学生针对优势与不足提出建议,以三个整改方针为基准,衡量建议的可行性是锻炼学生解决此类问题的有效途径。在此我将教会学生的是解决问题方法而非案例的内容,正所谓“授之以鱼,不如授之以渔”。接下来针对学生的建议和教材资料分析所罗列的10点整改思路,由学生自由发言提出看法,通过教师的指导和学生的讨论,进而确定经济转型建议的具体方案。最后注意将建议与产业优势相对照,看建议是否都是围绕着产业优势而提出的,这样做会加深学生的印象,通过建议和优势的对应关系,将不难找出此类问题的解题思路。

  • 人教版新课标高中物理必修2功说课稿2篇

    人教版新课标高中物理必修2功说课稿2篇

    探究一:高中阶段功的含义是什么?投影:初中九年级《物理》105页学生思考:①图中物体的势能、动能分别如何变化?②物体能量的变化和做功是否存在关系?学生:分组讨论,得出结论:如果物体的能量发生变化时,说明有力对物体做了功。教师:进行点评和小结(设计意图:对初中知识深化理论认识,并为以后功能关系的教学作准备)探究二:力对物体做功的两个要素是什么?情景再现:找体重相对悬殊的两位同学,①A同学试图抱起B同学,但没成功。②B同学抱起A同学在教室内匀速走动。学生思考:在①中,A是否对B做功?在②中,B是否对A做功?学生:分析得出做功的两要素:物体受到力的作用,并且在力的方向上发生位移.教师:让学生分别例举生活中力对物体做功和不做功的例子,(设计意图:让学生亲身参与课堂实验,烘托课堂气氛,相互协作增进同学情谊)探究三:如果物体的位移不再力的方向上,那么力是否还对物体做功?

  • 人教版新课标高中物理必修2向心力说课稿3篇

    人教版新课标高中物理必修2向心力说课稿3篇

    通过这个示例呢,我们可以得到解决向心力问题的一般的步骤,确定对象,找出轨迹,找出圆心,然后进行受力分析,让同学们参考这样的步骤,逐步的解决圆周运动的问题,对于变速圆周运动,我通过链球运动进行引入,这里是一个链球运动的视频,在同学们观看视频之前,我给同学们提出问题,链球收到绳子的拉力,做的是匀速圆周运动吗? 然后再课堂上我们再做一个小实验, 我们可以通过改变拉线的方式来调节小球的速度大小吗? 那么对小球,做加速圆周运动,进行受力分析,我们可以看到,小球做加速运动时,他所受到的力,并不是严格通过轨迹的圆心,在进行分析的时候,特别强调,小桶所受力的切线方向分力,和法线方向分力,切线方向分力,改变小球运动速度大小,法线方向分力,改变了小球运动的方向,法线方向的分力,在这里就是向心力,产生了向心加速度,通过这样一个例子进行分析,同学们是比较容易理解的,

  • 人教版高中生物必修2基因是有遗传效应的DNA片段说课稿

    人教版高中生物必修2基因是有遗传效应的DNA片段说课稿

    1.基因的化学组成:每个基因含有成百上千个脱氧核苷酸。讲述:基因的脱氧核苷酸排列顺序代表遗传信息。2.基因不同的实质:不同的基因,四种脱氧核苷酸的排列顺序不同,但是每个基因都有特定的排列顺序。3.基因的位置:染色体是基因的主要载体,每个染色体含有一个DNA分子,每个DNA分子含有多个基因,基因在染色体上呈直线排列。4.基因是有遗传效应的DNA片段这就是说,基因是DNA的片段,但必须具有遗传效应(指具有复制、转录、翻译、重组突变及调控等功能)。有的DNA片段属间隔区段,没有控制性状的作用,这样的DNA片段就不是基因。控制某种性状的基因有特定的DNA片段,蕴含特定的遗传信息,可以切除,可以拼接到其他生物的DNA上,从而获得某种性状的表达。例如:把牛的胰岛素基因拼接到大肠杆菌的DNA上,大肠杆菌可以生产胰岛素。

  • 人教版高中数学选择性必修二变化率问题教学设计

    人教版高中数学选择性必修二变化率问题教学设计

    导语在必修第一册中,我们研究了函数的单调性,并利用函数单调性等知识,定性的研究了一次函数、指数函数、对数函数增长速度的差异,知道“对数增长” 是越来越慢的,“指数爆炸” 比“直线上升” 快得多,进一步的能否精确定量的刻画变化速度的快慢呢,下面我们就来研究这个问题。新知探究问题1 高台跳水运动员的速度高台跳水运动中,运动员在运动过程中的重心相对于水面的高度h(单位:m)与起跳后的时间t(单位:s)存在函数关系h(t)=-4.9t2+4.8t+11.如何描述用运动员从起跳到入水的过程中运动的快慢程度呢?直觉告诉我们,运动员从起跳到入水的过程中,在上升阶段运动的越来越慢,在下降阶段运动的越来越快,我们可以把整个运动时间段分成许多小段,用运动员在每段时间内的平均速度v ?近似的描述它的运动状态。

  • 人教版新课标高中物理必修2平抛运动说课稿2篇

    人教版新课标高中物理必修2平抛运动说课稿2篇

    (5)高度不同,对平抛运动距离有何影响,是否因为高度减小后下落时间减小,所以要增大速度才能达到相同的距离?(教学实践证明,这种想法在学生比较多见。已经不自觉的沿用了自由落体运动的规律,又隐隐有运动等时性的痕迹。应引导学生这一结果还需实验验证。)教师的引导:其实,我们所提出的看法都跟平抛运动的规律有关系。那么平抛运动究竟有怎样的规律呢?以前学过的直线运动知识还能用于今天的内容吗?由此逐步使学生意识到分析平抛运动须采用运动合成与分解这一方法。三、实验验证自主探究(15分钟) 物理是实验科学,多媒体教学不能代替实验。本教学设计的第三个环节是实验验证,鼓励学生自主探究。引导学生根据自己的猜想(实验目的)设计实验进行验证。(1)介绍手持式平抛竖落仪,引导并小结实验要领:听两小球下落声音判断其下落时间。体会合运动和分运动是等时的。

  • 高中思想政治人教版必修三《文化创新的途径》说课稿

    高中思想政治人教版必修三《文化创新的途径》说课稿

    二、说学情本课的教学对象为高二学生,他们思维活跃已具备一定归纳能力和分析、综合能力,能够自主地分析现实生活中的一些文化行为,但看问题往往比较偏激、片面,缺乏良好的逻辑思维能力。所以,在文化创新的途径上要对他们进行指导,以免走入误区。三、教学目标根据新课程标准、教材特点、学生的实际,我确定了如下教学目标:【知识与能力目标】1.理解文化创新的根本途径和两个基本途径;2.了解文化创新过程中需要坚持正确方向,克服错误倾向。

  • 人教版高中数学选择性必修二等比数列的前n项和公式   (2) 教学设计

    人教版高中数学选择性必修二等比数列的前n项和公式 (2) 教学设计

    二、典例解析例10. 如图,正方形ABCD 的边长为5cm ,取正方形ABCD 各边的中点E,F,G,H, 作第2个正方形 EFGH,然后再取正方形EFGH各边的中点I,J,K,L,作第3个正方形IJKL ,依此方法一直继续下去. (1) 求从正方形ABCD 开始,连续10个正方形的面积之和;(2) 如果这个作图过程可以一直继续下去,那么所有这些正方形的面积之和将趋近于多少?分析:可以利用数列表示各正方形的面积,根据条件可知,这是一个等比数列。解:设正方形的面积为a_1,后续各正方形的面积依次为a_2, a_(3, ) 〖…,a〗_n,…,则a_1=25,由于第k+1个正方形的顶点分别是第k个正方形各边的中点,所以a_(k+1)=〖1/2 a〗_k,因此{a_n},是以25为首项,1/2为公比的等比数列.设{a_n}的前项和为S_n(1)S_10=(25×[1-(1/2)^10 ] )/("1 " -1/2)=50×[1-(1/2)^10 ]=25575/512所以,前10个正方形的面积之和为25575/512cm^2.(2)当无限增大时,无限趋近于所有正方形的面积和

  • 人教版高中数学选择性必修二等差数列的前n项和公式(2)教学设计

    人教版高中数学选择性必修二等差数列的前n项和公式(2)教学设计

    课前小测1.思考辨析(1)若Sn为等差数列{an}的前n项和,则数列Snn也是等差数列.( )(2)若a1>0,d<0,则等差数列中所有正项之和最大.( )(3)在等差数列中,Sn是其前n项和,则有S2n-1=(2n-1)an.( )[答案] (1)√ (2)√ (3)√2.在项数为2n+1的等差数列中,所有奇数项的和为165,所有偶数项的和为150,则n等于( )A.9 B.10 C.11 D.12B [∵S奇S偶=n+1n,∴165150=n+1n.∴n=10.故选B项.]3.等差数列{an}中,S2=4,S4=9,则S6=________.15 [由S2,S4-S2,S6-S4成等差数列得2(S4-S2)=S2+(S6-S4)解得S6=15.]4.已知数列{an}的通项公式是an=2n-48,则Sn取得最小值时,n为________.23或24 [由an≤0即2n-48≤0得n≤24.∴所有负项的和最小,即n=23或24.]二、典例解析例8.某校新建一个报告厅,要求容纳800个座位,报告厅共有20排座位,从第2排起后一排都比前一排多两个座位. 问第1排应安排多少个座位?分析:将第1排到第20排的座位数依次排成一列,构成数列{an} ,设数列{an} 的前n项和为S_n。

  • 人教版高中语文必修1《人性光辉:写人要凸显个性》说课稿2篇

    人教版高中语文必修1《人性光辉:写人要凸显个性》说课稿2篇

    人教版新课标教材必修一的“表达交流”部分,有一个专题是“人性的光辉——写人要凸显个性”。其中的“写法借鉴”部分列举了两则人物描写实例,并归纳出人物描写的几个要点。其训练的思路和方法是很明显的,但所列举的人物描写的实例却不够典型。而必修一第三单元正好是学习写人记事散文,其中的两篇自读课文《记梁任公先生的一次演讲》《金岳霖先生》又是写人记事非常典型的文章,故而我尝试将这两篇文章作为实例和。写人要凸显个性。写作指导结合起来教学。这样设计还有一个目的,那就是解决课程改革中教学内容多而课时紧张的矛盾,提高课堂教学效率。师:今天,我们一起来学习“写人要凸显个性”。这两堂课分四个步骤来完成:一、先学习教材中关于写人方法的介绍,约15分钟;二、快速阅读第三单元的《记梁任公先生的一次演讲》和《金岳霖先生》两篇文章,具体感受其写人的方法,约30分钟;

  • 新人教版高中英语必修3Unit 1 Festivals and celebrations-Discovering Useful Structure教学设计

    新人教版高中英语必修3Unit 1 Festivals and celebrations-Discovering Useful Structure教学设计

    4.That was an experience that frightened everyone. →That was _____________________. 答案:1. taking 2. being discussed 3. in the reading room 4. a frightening experienceStep 6 The meaning and function of V-ing as the predicative动词-ing形式作表语,它通常位于系动词后面,用以说明主语“是什么”或“怎么样”一种表示主语的特质、特征和状态, 其作用相当于形容词; 另一种具体说明主语的内容, 即主语等同于表语, 两者可互换。The music they are playing sounds so exciting. 他们演奏的音乐听起来令人激动。The result is disappointing. 结果令人失望。Our job is playing all kinds of music. 我们的工作就是演奏各种音乐。Seeing is believing. 眼见为实。Step 7 Practice1. It is ________(amaze) that the boy is able to solve the problem so quickly.2. Buying a car is simply _______(waste) money. 3. Please stop making the noise—it’s getting ________(annoy). 4. complete the passage with the appropriate -ing form.La Tomatina is a festival that takes place in the Spanish town Bunol every August. I think many food festivals are __________ because people are just eating. however, this festival is _________ because people don't actually eat the tomatoes. Instead, they throw them at each other! the number of people ________ part in this tomato fight, can reach up to 20,000, and it is a very __________ fight that lasts for a whole hour. The _______ thing is how clean Bunol is after the tomatoes are washed away after the fight. this is because the juice form tomatoes is really good for making surfaces clean!答案:1. amazing 2. wasting 3. annoying4. boring interesting taking exciting amazing

  • 新人教版高中英语必修3Unit 1 Festivals and Celebrations-Reading and Thinking教学设计

    新人教版高中英语必修3Unit 1 Festivals and Celebrations-Reading and Thinking教学设计

    The topic of this part is “Discover the reasons for festivals and celebrations.The Listening & Speaking & Talking part aims at talking about the experiences and feelings or emotions about the festivals and celebrations. This section aims at detecting the reason why the people celebrate the festivals, the time, the places, the types and the way of celebrations. It also explains why some traditions in the old celebrations are disappearing, like the firecrackers in the big cities and some new things are appearing like the prosperity of business or commerce. 1. Students can talk about what festivals they know and the reasons and the way of celebrating them.2. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.3. Students can understand the past, the present situation of some festival around the world and why there are some changes about them. 4. Students can have the international awareness about the festivals.1. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.2. Students can understand the past, the present situation of some festival around the world and why there are some changes about them.Step 1 Lead in---Small talkWhat festival do you like best ? Why ?I like the Spring Festivals because I can set off the fireworks, receive the lucky money and enjoy the Gala with my families.Step 2 Before reading---Pair workWhy do people celebrate different festivals ?The Spring Festivals is to celebrate the end of winter and the coming of spring and new life.The Mid-autumn Day is to celebrate the harvest and admire the moon.

  • 新人教版高中英语必修3Unit 1 Festivals and Celebrations-Listening &Speaking&Talking教学设计

    新人教版高中英语必修3Unit 1 Festivals and Celebrations-Listening &Speaking&Talking教学设计

    The theme of this section is “Talk about festival activities and festival experiences”.Festival and holiday is a relaxing and interesting topic for students. This part talks about the topic from the daily life of students’. In the part A ---Listening and Speaking, there are three conversations among different speakers from three countries(Japan, Rio and China), where the speakers are participating in or going to participate in the festivals and celebrations. So listening for the relationship among them is a fundamental task. Actually, with the globalization and more international communication, it is normal for Chinese or foreigners to witness different festivals and celebrations in or out of China. In the Conversation 1, a foreign reporter is interviewing a Japanese young girl who just had participated in the ceremony of the Coming-of-Age Day on the street and asking her feeling about the ceremony and the afterwards activities. Conversation 2, Chinese girl Li Mei is witnessing the Rio Carnival for the first time, and her friend Carla gives her some advice on the costumes which enables her to match with the carnival to have a good time. Conversation 3, a Chinese guide is showing a group of foreign visitors around the Lantern Festival and introducing the customs of the festival to them. The three conversations have a strong vitality and insert the festival and cultural elements from different countries. So perceiving the festivals and cultures from different countries is the second task. At the same time, the scripts also insert the targeted grammar --- v-ing as attributive and predicative, which students can perceive and experience in a real context and make a road for the further study. That is the third task. In the Part B--- Listening and Talking, the theme is “Talk about festival experience”, which is the common topic in our daily conversations. During the conversation, Song Lin, a Chinese student, asked Canadian friend Max about how to spend Christmas. In the conversation, Song Lin talked about experience and the feelings during the Chinese Spring Festival, during which there are not only some enjoyable things but some unpleasant things. After the listening, perhaps students find there are some similarities between Christmas and the Chinese Spring Festival as there are some differences in the origins and celebrations. For example, people always visit friends and relatives, decorate their houses, have a big dinner together, chat and give presents to each other.

  • 新人教版高中英语必修3Unit 1 Festivals and Celebrations-Reading for writing教学设计二

    新人教版高中英语必修3Unit 1 Festivals and Celebrations-Reading for writing教学设计二

    Step 3 Analyzing article structureActivity 31. Teachers raise questions to guide students to analyze the chapter structure of this diary and think about how to describe the festival experience. (1)What should be included in the opening/body/closing paragraph(s)?(2)How did the writer arrange his/her ideas?(3)What kind of interesting details did the writer describe?(4)How did the writer describe his/her feelings/emotions during the event?2. Students read and compare the three sentence patterns in activity 2. Try to rewrite the first paragraph of the diary with these three sentence patterns. After that, students exchange corrections with their partners. Such as:●This was my first time spending three days experiencing the Naadam Festival in China’s Inner Mongolia Autonomous Region and it was an enjoyable and exciting experience. ●I'll never forget my experience at the Naadam Festival because it was my first time to watch the exciting Mongolian games of horse racing, wrestling, and archery so closely. ●I'll always remember my first experience at the Naadam Festival in China’s Inner Mongolia Autonomous Region because it was so amazing to spend three days witnessing a grand Mongolian ceremony. Step 4 Accumulation of statementsActivity 41. Ask the students to read the diary again. Look for sentences that express feelings and emotions, especially those with the -ing form and the past participle. Such as:● …horse racing, wrestling, and archery, which are all so exciting to watch. ● some amazing performances● I was surprised to see…● I was a little worried about. . . ● feeling really tiredOther emotional statements:●I absolutely enjoyed the archery, too, but the horse races were my favourite part. ●I'm finally back home now, feeling really tired, but celebrating Naadam with my friend was totally worth it. ●He invited me back for the winter to stay in a traditional Mongolian tent and cat hot pot. I can’t wait!2. In addition to the use of the -ing form and the past participle, the teacher should guide the students in the appreciation of these statements, ask them to memorize them, and encourage them to use them reasonably in writing practice.

  • 新人教版高中英语必修3Unit 1 Festivals and Celebrations-Reading for Writing教学设计一

    新人教版高中英语必修3Unit 1 Festivals and Celebrations-Reading for Writing教学设计一

    The topic of this part is “Write about your festival experience”.During the Listening and Speaking and Talking, students are just asked to say out their festival experiences such as the Spring Festival, Mid-autumn Day, but this part students will be asked to write down their own festival experiences. During the reading part, it introduces the Naadam Festival in Inner Mongolia Autonomous Region, which can give students a good example to imitate. Students not only learn the festival, but touch and feel the Inner Mongolian’s character, the spirit and cultural atmosphere, which can help students form the cultural awareness and learn to enjoy and value the diversity of Chinese culture.Concretely, the dairy tells the experience that the author spent the Naadam Festival in Inner Mongolia Autonomous Region with his/her friend. The structure is clear. In the opening paragraph, it introduces the topic of the Naadam Festival and the whole feeling. Then it introduces the items of the festival like the ceremony, wrestling and horse racing. Finally, it summarizes this experience. Because this part is a travel journal, we must guide students pay more attention to these details: 1. use the first person. 2. use the past tense to tell the past thing and use the present or future tense to describe the scenery. 3. use the timeline to tell the development. 4. be careful for the author’s psychology, emotion and feeling, etc.1. Read quickly to get main idea; read carefully to get the detailed information about Naadam Festival.2. Learn the structure of the reading article and language.3. Write an article about a festival experience4. Learn to use the psychology, emotions and feeling in the writing.1. Write an article about a festival experience.2. Use the structure of the reading article and language.

  • 人教版高中数学选择性必修二等比数列的概念 (1) 教学设计

    人教版高中数学选择性必修二等比数列的概念 (1) 教学设计

    新知探究我们知道,等差数列的特征是“从第2项起,每一项与它的前一项的差都等于同一个常数” 。类比等差数列的研究思路和方法,从运算的角度出发,你觉得还有怎样的数列是值得研究的?1.两河流域发掘的古巴比伦时期的泥版上记录了下面的数列:9,9^2,9^3,…,9^10; ①100,100^2,100^3,…,100^10; ②5,5^2,5^3,…,5^10. ③2.《庄子·天下》中提到:“一尺之锤,日取其半,万世不竭.”如果把“一尺之锤”的长度看成单位“1”,那么从第1天开始,每天得到的“锤”的长度依次是1/2,1/4,1/8,1/16,1/32,… ④3.在营养和生存空间没有限制的情况下,某种细菌每20 min 就通过分裂繁殖一代,那么一个这种细菌从第1次分裂开始,各次分裂产生的后代个数依次是2,4,8,16,32,64,… ⑤4.某人存入银行a元,存期为5年,年利率为 r ,那么按照复利,他5年内每年末得到的本利和分别是a(1+r),a〖(1+r)〗^2,a〖(1+r)〗^3,a〖(1+r)〗^4,a〖(1+r)〗^5 ⑥

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