
二、典例解析例4. 用 10 000元购买某个理财产品一年.(1)若以月利率0.400%的复利计息,12个月能获得多少利息(精确到1元)?(2)若以季度复利计息,存4个季度,则当每季度利率为多少时,按季结算的利息不少于按月结算的利息(精确到10^(-5))?分析:复利是指把前一期的利息与本金之和算作本金,再计算下一期的利息.所以若原始本金为a元,每期的利率为r ,则从第一期开始,各期的本利和a , a(1+r),a(1+r)^2…构成等比数列.解:(1)设这笔钱存 n 个月以后的本利和组成一个数列{a_n },则{a_n }是等比数列,首项a_1=10^4 (1+0.400%),公比 q=1+0.400%,所以a_12=a_1 q^11 〖=10〗^4 (1+0.400%)^12≈10 490.7.所以,12个月后的利息为10 490.7-10^4≈491(元).解:(2)设季度利率为 r ,这笔钱存 n 个季度以后的本利和组成一个数列{b_n },则{b_n }也是一个等比数列,首项 b_1=10^4 (1+r),公比为1+r,于是 b_4=10^4 (1+r)^4.

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

【教学设计】一、教学目的:1、引导学生关注生活,向生活学习语言。2、了解新词新语,能正确评价和运用新词新语。二、教学重难点:1、重点:认识并评价新词新语。2、难点:如何评价新词新语三、教学用时:一课时四、教学过程预设(一)导入新课以前如果有人说我可爱,我会很高兴:我还是有优点的哦。现在如果有人说我可爱,我就会心里嘀咕了:这是什么意思呀?同学们知道这有什么意思吗?(可爱=可怜没人爱)如果大家留心就会发现,类似这样的词语很多,在网上是特别流行,很新颖、独特,谁来列举几个?(点评学生所列举出的词语)网络上有新词新语,其它媒体(如报刊、电视等)都有新词新语。关于新词新语的概念,一般认为,新近创造出来的词语,或是旧词新用,这样的词语就叫新词新语。

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……

1、变换角度,多向思维(多向思维要求思维能针对问题,从不同角度,用多种方法去思考问题。对于作文而言,就是要使学生学会对同一问题,同一素材,同一题目,同一体裁的不同进行区分。)请学生从这则材料中分析出几个角度,准备课堂交流:19世纪法国著名科幻小说家儒勒?凡尔纳,一生写了104部科幻小说。当初他的第一部科幻小说《气球上的星期五》接连被15家出版社退回。他当时既痛苦又气愤,打算将稿子付之一炬。他妻子夺过书稿,给他以鼓励。于是他尝试着走进第16家出版社。经理赫哲尔阅读后,当即表示同意出版,还与儒勒?凡尔纳签订了为期20年的写作出版合同。这则材料叙述时没有一定的中心,属于开发性材料,分析材料中人物、人物关系、故事的不同侧面,可以从不同角度得出结论:

评价分析法,就是引述事例后,对所引述的事例作适当的评价,从而使自己的观点得到印证。例如,在论“节俭”时,引用了“曾国藩以俭戒子,其子曾纪泽终成出色的外交家;方志敏居官不贪,一生清贫,千古留名”的事实后,接着进行分析:是的,“俭者心常富”,节俭能培养人同困难作斗争的勇气和意志,而这正是一个人立业最重要的素质。从这个意义上说,有人说饥饿是人生的佐料,吃苦是一种资本也不无道理,而自觉和戒奢尚俭则更是促人修身养性,磨炼意志的有效途径。这里,作者紧扣论点,对论据进行了评价性分析,这种评价分析使作者的观点得到强化。(四)因果分析法因果分析法,就是抓住论据所述的事实,并据此推求形成原因的一种分析方法。事出必有其因。我们可以依据事物发展变化的因果关系,由事物发展变化的结果,推导出产生这种结果的原因,从而揭示出一定的生活规律,使事例有力地证明观点。

★教学总结:(1)我国衣着服饰变化的三大阶段第一阶段(鸦片战争后到新中国的建立):这一阶段的阶段特征为中式与西式、传统和现代服饰并存男装:长袍马褂、西装、中山装 女装:旗袍(新式与旧式)第二阶段(新中国建立后到十一届三中全会):这一时期由于政治上的影响,阶段特征为衣着朴素,与革命相关的服饰成为主流男装:列宁装、中山装、绿军装女装:列宁装、布拉基、绿军装第三阶段(十一届三中全会后):阶段特征为与世界接轨,异彩纷呈;具体表现在,服饰由最基本的防寒保暖向美观大方转变,各种款式的服装层出不穷现在的服装是色彩鲜艳、款式多样,什么牛仔服、休闲服、西装、T恤衫、晚礼服,真是不胜枚举。每年服装的流行色、流行款式不断改变,大街上的姑娘和小伙子永远领导着时装新潮流。模特表演、模特广告和模特大赛已成为人们穿着方面不可缺少的内容。

5、弊端:(1)经济发展不均衡,片面发展重工业,使轻工业和农业长期处于落后状态;(2)对农民的剥夺太重,挫伤了农民的生产积极性;(3)长期执行指令性计划严重削弱了企业的生产自主权,不利于发挥企业的生产积极性,制约了苏联经济的可持续发展。(4)计划经济体制确立后,没有随着社会的变化进行调整,二战后逐渐僵化,丧失了自我完善的功能,成为苏联解体的重要因素。【合作探究】斯大林模式的评价及经验教训:积极:①使苏联迅速实现了 工业化②苏联经济实力的迅速增长,为反法西斯战争的胜利奠定了 物质基础 。消极:①政治:高度集权,破坏了 民主与法制 ; ②经济:优先发展重工业使 农业和轻工业长期处于落后状态,农民生产积极性不高;计划指令,压制了地方和企业的积极性,阻碍苏联经济的发展高度集中的计划经济体制,成为东欧剧变和苏联解体的重要原因。

⑤强调对外关系的灵活性。戈尔巴乔夫指出在对外政策中要采取多种办法选择不同的策略路线达到既定目标。在外交谈判中不要为自己制造死胡同,也不要给对方制造死胡同,要善于迎合伙伴,寻求接触点。在这种思想指导下,苏共采取的对外战略是以军控为中心的缓和战略,具体政策是继续与美国就裁军、消减核武器、限制地区冲突等问题进行谈判,缓解苏美关系;对西欧争取建立“全欧大厦”;对东欧实行纠偏、不干涉政策;对中国改善关系,实现关系正常化;调整与第三世界国家关系,解决阿富汗、柬埔寨等问题。 3、影响:①经济改革措施仓促上马,缺少宏观决策和相应的配套措施;加上戈尔巴乔夫没有放弃苏联的传统做法,继续优先发展重工业,致使改革未达到预期的效果,苏联经济持续下滑②经济体制改革受挫后,把改革的重点转向政治领域,最终导致国内局势的失控和苏联的解体。

★教后记:历史教学的最高目标不是单纯的记忆和培养能力,而是树立正确的历史观,培养学生的历史责任感。从这一点讲,新课标及新课标教材给老师极大的发挥空间,摆脱了以往的“教教材”,真正实现了 “用教材教”,只有这样,教师才不只是一个“备课”的“教书匠”,而是一名设计教学“设计师”,以教材为砖瓦,建造有自己独特风格的教育大厦。这是我设计教学的出发点。开放式的课堂需要思想开放的教师,但对教师的课堂驾驭能力要求更高,否则“一放就活,一活就乱”,只求课堂热闹,热闹过后,学生一无所获,那么这样的开放课堂依然是失败的。开放式的课堂并不是任由学生说,教师必要的引导与客观的评价尤为重要。★问题解答⊙【学思之窗】请谈谈,火车机车的不断改进,给国民经济发展、百姓生活带来怎样的影响?答案提示:运输量大,有利于各地区的物资交流和劳动力流动,促进经济发展;交通便利快捷;机车内部环境舒适,给百姓出行带来方便。

在美国历史上,很少有像胡佛那样受到老百姓讽刺、憎恶的总统。用破铁罐、纸板和粗麻布搭起来的棚户叫做“胡佛村”,手里提着的装破烂的口袋叫做“胡佛袋”,乡下的贫民把破汽车前部锯掉,套上骨瘦如柴的骡子,叫做“胡佛车” ,在公园长凳上躺着过夜的人用旧报纸裹身取暖,叫做“胡佛毯”,衣袋翻过来,一个钱也找不到,叫做“胡佛旗”,野兔被饥饿的农民抓来吃,叫做“胡佛猪”。杂耍演员插科打诨说:“什么?生意好起来了吗,你的意思是说胡佛死了吧。”★教学反思:本课内容比较条理清楚,旨在说明罗斯福新政实施的背景。备课时考虑将课文顺序进行一下调整,使学生能从较直观的危机的现象进入本课,较易激发学生的兴趣,再来分析原因学生也就比较容易接受。在分析原因时通过材料和课文的阅读,使学生自己通过思考逐步得出结论。而关于胡佛政府的措施的讲述,及问题的提出则可让学生先进行预习,为下一课进入罗斯福新政的学习做好准备。多媒体课件的应用也能使教学活动顺利流畅的进行。

②其他货币与美元挂钩:即各会员国货币对美元的汇率按各自货币的含金量与美元确定固定比价。各国货币与美元的汇率可按各国货币含金量与美元含金量之比来确定,这称为法定汇率。例如,1946年一英镑的含金量为3.58134克,一美元的含金量为0.888671克,则英镑和美元的含金量之比1英镑=4.03美元就是法定汇率。这一规定,使美元等同于黄金,美元从此有了“美金”的说法;与美元比起来,其他国家的货币处于从属地位,确立了美元在国际货币体系中的中心地位、主导地位正如当时美国财政部长福勒所说:“各个行星围绕着太阳转,各国货币围绕着美元转。”小结: “布雷顿森林体系”是一个以美元为中心的世界货币体系,美国通过布雷顿森林体系,掌握了资本主义世界的经济命脉。(2)影响:①为世界货币关系提供了统一的标准和基础,有利于维持战后世界货币体系的正常运转,为世界经济的恢复和发展创造了条件。

战国阴阳五行家邹衍认为,历史中的朝代更替是由于五德运行产生的影响。按照邹衍的学说,每个朝代必须与五德之一相连,因此,这个朝代就应当遵循这五德之一的要求来运转。董仲舒修改了这个理论,认为朝代的更替不是依循五德运行的顺序,而是依循“三统”,即黑统、白统、赤统的顺序。他在《三代改制质文》中说:每个朝代都依循一统,每统又各有其为政的系统。按董仲舒的说法,夏朝代表黑统,商朝代表白统;周朝则是赤统。夏、商、周三朝完成了这一历史循环。之后,历史又开始一次新的循环,新的朝代又应当代表黑统。继承周朝统治的既不是秦朝,也不是汉朝,而是孔子,他承受天命,创立了黑统。孔子所受天命,不是一种“法统”,而是一种“道统”。董仲舒说:“《春秋》大一统者,天地之常经,古今之通谊也。今师异道,人异论,百家殊方,指意不同,是以上亡以持一统;法制数变,下不知所守。臣愚以为诸不在六艺之科孔子之术者,皆绝其道,勿使并进。邪辟之说灭息,然后统纪可一而法度可明,民知所从矣。”

【教学目标与核心素养】1. Instruct students to get main facts by listening and motivate them to talk about the topics about how to prepare for the trip and make reservations by listening and ultimately can make travel arrangements and reservations. 2. Develop students’ sense of cooperative learning and individual thinking capability. 3. Develop students’ different listening skills to solve different listening comprehensive problems.4. Help students to understand how to use the structures “the present continuous tense (be doing) is used to express future plans.【教学重难点】1. Teach students how to focus on key words, not on single words or grammar.2. Prompt Ss to talk about the related topics, such as how to prepare for the trip and make a travel plan.【教学过程】Step 1: Listening and SpeakingLead inThe teacher is advised to talk with their students about the places that they want to travel most both at home and abroad: boys and girls, if you have a chance to travel around the world, where will you go? After their small talk, the teacher can move on by finishing the following listening task:Before travelling, what do we need to prepare for the trip?

1. 表示时间。Hearing these stories, I’m skeptical about the place. = When I heard these stories. . . 2. 表示原因。Not knowing his address, I can’t send this book to him. = Because/Since/As I don’t know his address. . . 3. 表示结果。His father died, leaving him a lot of money. =. . . and left him a lot of money4. 表示条件。Going straight down the road, you will find the department store. = If you go straight down the road. . . 5. 表示让步。Being tired, they went on working. =Although they were tired. . . 6. 表示行为方式、伴随情况或补充说明。He lay on the grass, staring at the sky for a long time. =. . . and stared at the sky for a long time注意:非谓语动词作状语时, 如所提供的动词不能和句子中的主语保持一致, 动词-ing形式必须有自己的逻辑主语, 通常由名词或代词来担任, 这就是独立主格结构。The last bus having gone, we had to walk home. (having gone的逻辑主语是the last bus, 而不是we)Weather permitting, the football match will be played on Friday. (permitting的逻辑主语是time, 而不是the football match)Step 7 Practice1. ________(study) hard, you are sure to get first prize. 2. People use plastic in their daily life, _______(leave) large amounts of waste. 3. ________(work) hard at your lessons, you are to succeed. 4. The old man, ____________(work) abroad for twenty years, is on the way back to his motherland. 5. ______________(finish) his homework, he was playing on the playground. Answers: 1. Studying 2. leaving 3. Working 4.having worked 5. Having finishedStep 8 HomeworkFinish the homework on Page 22.

Example:One day, a poor boy who was trying to pay his way through school by sending newspapers door to door found that he only had one dime(一角)left. He was so hungry that he decided to beg for a meal at the next house.However, he lost his nerve when a lovely young woman opened the door. Instead of a meal he asked for a drink of water. She thought he looked hungry so she brought him a large glass of milk. He drank it slowly, and then asked, “How much do I owe you?” “You don’t owe me anything,” she replied, “Mother has taught me never to accept pay for a kindness.” “Then I thank you from the bottom of my heart.” With these words, Howard Kelly left that house.Years later the woman became badly ill and was finally sent to the hospital in a big city. Dr. Howard Kelly, now famous, was called in. When he heard the name of the town she came from, a strange light filled his eyes. Dressed in his doctor’s clothes, Dr. Kelly went into her room and recognized her at once. From that day on, he gave special attention to her, and decided to do his best to save her life.At last the woman was saved. Dr. Kelly asked the business office to pass the final bill to him. He looked at it and then wrote something on the side. The bill was sent to the woman’s room. She was afraid to open it because she was sure that it would take the rest of her life to pay for it off. Finally she looked, and the note on the side of the bill caught her attention. She read these words: “Paid in full with a glass of milk, Dr. Howard Kelly.” Tear of joy flooded her eyes.

The topic of this part is “Learn to make choices in life”.The Listening & Speaking & Talking part aims at the moral dilemmas, and this part is about making choices in life. The heroin is Lin Qiaozhi, a famous medical scientist, made a great contribution to our country’s medical care. Most importantly, her life experience can inspire our students whether in studying or the development of career. she had moral dilemmas and life choices, which are similar to the students who will step into society. Besides, Lin has quite good virtues like kindness, self-improvement, insistence, job-loving , generosity and responsibility, which is worth being learned.Concretely, this article is a biography about Lin Qiaozhi. The article tells her whole life according the timeline, among which the life choices is emphasized. For example, whether married or chased her dream, returned home or stayed abroad, family or public, her choices all reflected her faith, spirit, responsibility and devotion.1. Fast reading to get the detailed information about Lin Qiaozhi; careful reading to do the deductive information.2. Learn the reading skills--deductive judgement according the context.3. Study the structure features and language features. 4. Communicate about Lin’s life choices and reflect their own life choices.1. Learn the reading skills--deductive judgement according the context.2. Study the structure features and language features.3. Communicate about Lin’s life choices and reflect their own life choices.Step 1 Lead in---Small talkWhat are some important life choices?Importance choices: university study, jobs and marriage partners. Because they can determine our future.

1. 这个寓言是一个关于一位国王古寓言。 The fable is an old fable about a king.2.作者用这个故事让读者对于社区的问题负有个人责任的必要印象深刻。The author used the story to impress upon readers with the need to take personal responsibility for problems in the community.3. 这个故事十分成功的实现了它的目的。The story was quite successful in achieving its purpose.Step 7 WritingPlease write a review of the story according the outline above.The fable is an old fable about a king who thought his people are lazy, so he put a large stone in the middle of the road and hides and waited to see if anyone will try to move it.The author used this story to impress upon readers with the need to take personal responsibility for problems in the community. The story was quite successful in achieving its purpose, and I liked it because it had a clear moral.However, while the moral of the story is clear, the actions of the king seemed pointless to me, because none of the characters in the story learnt anything. For this reason, I think there are better stories that can be used to impress upon people with the need for personal responsibility.Step 8 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Does the writer give a short description of the story ?2. Does the description include the most important details of the story ?3. Does the writer give his or her opinion about the character or their actions ?4. Is the review well-organised ? 5. Does the writer use the -ing form as the adverbial correctly in the writing ?6. Are there any grammar, spelling, or punctuation errors ?Step 9 HomeworkPut up your revised draft in the classroom or read it to your class.

1.指导学生阅读“亚洲水稻农业分布示意图”2.指导学生阅读“亚洲气候类型分布图”和“亚洲地形分布图”3.指导学生阅读“亚洲人口分布图”4.提示学生思考:世界主要粮食作物有哪些?水稻种植对气候和土地的要求是什么?东南亚的气候和地形还适宜其他农作物生长吗,为什么不选择?水稻种植对劳动力数量有什么要求?5.引导学生总结本区农业生产的特点。6.引导学生总结季风水田农业的区位因素。7.提醒学生思考:“农业区位的主导因素是自然因素还是社会因素?通过对比商品谷物农业来总结。”(过渡)。列举农业区位因素。画图或示意讲解。阅读示意图,指图说出分布区域。说出水稻分布区的气候类型和气候特点,以及地形特征。说出水稻分布区的人口分布特征。思考并回答问题。列举本区农业生产的特点。列举本区农业生产的区位因素。

案例探究:环地中海地区农业的变迁让学生思考:此地哪些因素发生了变化,农业生产方式进行了如何调整?效果如何?二、农业地域的形成1、农业地域的概念:由于以上各因素的共同影响,在一定的地域和一定的历史条件下,形成了相应的生产地区,称为农业地域。农业地域的类型主要有:种植业、畜牧业、混合农业。(在这里分别给学生展示一些农业生产类型的图片,并简单说明什么是种植业、什么是畜牧业、及什么是混合农业)案例探究:阅读澳大利亚地混合农业生产思考:(1)、澳大利亚农业生产的特点是什么?(2)、澳大利亚混合农业的分布在哪里?受哪些区位因素的影响?(3)澳大利亚混合农业生产有哪些优点?
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