
二、典例解析例10. 如圖,正方形ABCD 的邊長為5cm ,取正方形ABCD 各邊的中點(diǎn)E,F,G,H, 作第2個(gè)正方形 EFGH,然后再取正方形EFGH各邊的中點(diǎn)I,J,K,L,作第3個(gè)正方形IJKL ,依此方法一直繼續(xù)下去. (1) 求從正方形ABCD 開始,連續(xù)10個(gè)正方形的面積之和;(2) 如果這個(gè)作圖過程可以一直繼續(xù)下去,那么所有這些正方形的面積之和將趨近于多少?分析:可以利用數(shù)列表示各正方形的面積,根據(jù)條件可知,這是一個(gè)等比數(shù)列。解:設(shè)正方形的面積為a_1,后續(xù)各正方形的面積依次為a_2, a_(3, ) 〖…,a〗_n,…,則a_1=25,由于第k+1個(gè)正方形的頂點(diǎn)分別是第k個(gè)正方形各邊的中點(diǎn),所以a_(k+1)=〖1/2 a〗_k,因此{(lán)a_n},是以25為首項(xiàng),1/2為公比的等比數(shù)列.設(shè){a_n}的前項(xiàng)和為S_n(1)S_10=(25×[1-(1/2)^10 ] )/("1 " -1/2)=50×[1-(1/2)^10 ]=25575/512所以,前10個(gè)正方形的面積之和為25575/512cm^2.(2)當(dāng)無限增大時(shí),無限趨近于所有正方形的面積和

二、典例解析例4. 用 10 000元購買某個(gè)理財(cái)產(chǎn)品一年.(1)若以月利率0.400%的復(fù)利計(jì)息,12個(gè)月能獲得多少利息(精確到1元)?(2)若以季度復(fù)利計(jì)息,存4個(gè)季度,則當(dāng)每季度利率為多少時(shí),按季結(jié)算的利息不少于按月結(jié)算的利息(精確到10^(-5))?分析:復(fù)利是指把前一期的利息與本金之和算作本金,再計(jì)算下一期的利息.所以若原始本金為a元,每期的利率為r ,則從第一期開始,各期的本利和a , a(1+r),a(1+r)^2…構(gòu)成等比數(shù)列.解:(1)設(shè)這筆錢存 n 個(gè)月以后的本利和組成一個(gè)數(shù)列{a_n },則{a_n }是等比數(shù)列,首項(xiàng)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個(gè)月后的利息為10 490.7-10^4≈491(元).解:(2)設(shè)季度利率為 r ,這筆錢存 n 個(gè)季度以后的本利和組成一個(gè)數(shù)列{b_n },則{b_n }也是一個(gè)等比數(shù)列,首項(xiàng) b_1=10^4 (1+r),公比為1+r,于是 b_4=10^4 (1+r)^4.

⑦在我看來, 探索太空是值得的。As far as I am concerned, it is worthwhile to explore the space.Step 10 Writing---draftRecently, students in our class have had heated a discussion on whether space is worth exploring. Students hold different ideas about it.30% of us think space exploration is not worthwhile. They think space is too far away from us and our daily life and is a waste of money. And the money spent on space exploration can be used to solve the earth’s problems such as starvation and pollution.On the other hand,70% think space is worth exploring because we have benefited a lot from it,such as using satellites for communication and weather forecast. What’s more,with further space research,we may solve the population problem by moving to other planets one day. Also,space research will enable us to find new sources to solve the problem of energy shortages on the earth.As far as I am concerned, it is worthwhile to explore the space. Not only can it promote the development of society but also enrich our life. Step 11 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1.Does the writer explain why he/she changed/wanted to change?2.Does the writer tell how the changes have improved or will improve his/her life?3.Is the text well-organised?4.Does the writer use words and expressions to show similarities and differences?5.Are there any grammar or spelling errors?6.Does the writer use correct punctuation?

? Could you offer me some kind of work here?? I don’t want your charity, I just want an honest job.? Careless: I landed in Britain by accident.Step 7:Consolidation.? Find Henry? Roderick and Oliver were I .making a bet when they saw Henry, a poor young man. ? Know Henry? About a month ago, Henry was sailing and later he found himself carried out to sea by a strong wind. Fortunately, he 2.was spotted by a ship. And it was the ship that brought him to 3.England? Offer money to Henry ? Oliver and Roderick gave Henry a letter and told him that there was money in it. They 4.persuaded him to accept it, and made him 5.promise that it wouldn't be opened until 2 o'clock.Step 8:Language pointsa large amount of: a large quantity of; a great deal ofe.g. They bought a large amount of furniture before they moved their new house.make a bet: make an arrangement to risk money, etc. on an event of which the result is doubtful.e.g. We made a bet on the result of the match.permit sb to do something: allow somebody to do somethinge.g. My mother doesn’t permit me to ride in the street after it rained.by accident: as a result of chancee.g. I only found it by accident.stare at: look at somebody or something with the eyes wide open in a fixed gaze( in astonishment, wonder, fear, etc)to be honest: to tell you the truth; to be franke.g. To be honest, I don’t think we have a chance of winning.Step7 Homework:What do you think will happen to Henry? Will the bank-note help him or get him into trouble?

2. 您能看到, 我頭發(fā)太長了。You can see that my hair is much too long.3. 無論什么時(shí)候, 只要您想回來就回來。Please come back whenever you want.4. 您僅有很少的頭發(fā)要理! You only have too little hair to cut !5. 為您服務(wù)是我的榮幸!It is my honour to serve you!Step 9 Writing(Henry is walking down the street when he sees a sign for a place that cuts hair. He decides to have it cut. )H=Henry B=BarberH: Good afternoon, I’d like to have my hair cut, if I may. (The barber looks at Henry’s hair and continues cutting another man’s hair. ) Er, I’d really like a haircut. As you can see it’s much too long. B: (in a rude manner) Yes, I can see that. Indeed, I can. H: Fine, well, I’ll have a seat then. (He sits in one of the barber’s chairs. The barber turns to look at Henry. )B: It’s quite expensive here, you know! Are you sure you can afford it?H: Yes. I think so. (After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B: Why Mr. . . (looks shocked)H: Adams. Henry Adams. I’m sorry. I don’t have any change. B: Please don’t worry! (wearing a big smile) Nothing to worry about! Nothing at all! Please come back whenever you want, even if you only have too little hair to cut! It will be my honour to serve you!Step 10 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Are all the elements of a play included and in good order ?2. Do the character use suitable language ?3. Are the stage directions clear and useful ?4. Is the plot clear and exciting enough ?

The themes of this part are “Talk about how to become an astronaut” and “Talk about life in space”. As Neil Armstrong said “Mystery creates wonder and wonder is the basis of man’s desire to understand. Space is difficult for human to reach, therefore, humans are full of wonders about it. However, if wanting to achieve the dream of reaching the Moon, some of our human should work hard to be an astronaut at first. Part A(Talk about how to become an astronaut) is a radio interview in a radio studio, where the host asked the Chinese astronauts about his story how to become an astronaut. Yang Liwei told his dreamed to be an astronaut since childhood. Then he worked hard to get into college at 22. The next 10 years, he gradually became an experienced pilot. At the same time, to be an astronaut, he had to study hard English, science and astronomy and trained hard to keep in good physical and mental health and to practise using space equipment. Part B (Talk about life in space) is also an interview with the astronaut Brown, who is back on the earth. The host Max asked about his space life, such as his emotion about going back the earth, the eating, shower, brushing, hobbies and his work. Part A and Part B are interviews. So expressing curiosity about the guests’ past life is a communicative skill, which students should be guided to learn.1. Students can get detailed information about how Yang Liwei became an astronaut and Max’s space life.2. Students learn to proper listening strategy to get detailed information---listening for numbers and taking notes.3. Students can learn related sentences or phrases to express their curiosity like “ I wish to know...” “I’d love to know...”4. Students can learn more about the space and astronauts, even be interested in working hard to be an astronaut

The theme of this unit focuses on “space exploration.” Students will learn about the training and experience needed to become an astronaut. The text is mainly about the development of space exploration. On the one hand, the text helps students to have a good understanding about the great feats humans have achieved, on the other hand, they will further understand the contributions that we Chinese have achieved, and feel confident and proud about our homeland and strengthen their love for our country. The teacher should instruct students to aim high and study harder to make great progress in the space career if possible.1. Read about the development and value of space exploration.2. Explore the mysteries of the universe and the achievements in space exploration.3. Skillfully use the vocabulary of this text to cultivate self-study ability 4. Develop cooperative learning ability through discussion.1. Enable the Ss to talk about the development and value of space exploration.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.3. Help Ss comprehend the main reasons for space exploration. Multi-media, textbook, notebooks.Step 1: Warming up and predictionLook at the title and the pictures of the text and predict what the text will be about?2. What are the main reasons for space exploration?

二、教學(xué)目標(biāo):1、知識與能力(1)了解我國古代冶金、制瓷、絲織業(yè)發(fā)展的基本情況;(2)了解中國古代手工業(yè)享譽(yù)世界的史實(shí),培養(yǎng)學(xué)生的民族自信心。2、過程與方法(1)通過大量的歷史圖片,指導(dǎo)學(xué)生欣賞一些精湛的手工業(yè)藝術(shù)品,提高學(xué)生探究古代手工業(yè)的興趣;(2)運(yùn)用歷史材料引導(dǎo)學(xué)生歸納古代手工業(yè)產(chǎn)品的基本特征。3、情感態(tài)度與價(jià)值觀:通過本課教學(xué),使學(xué)生充分地感受到我國古代人民的聰明與才智,認(rèn)識到古代許多手工業(yè)品具有較高的藝術(shù)價(jià)值,以及在世界上的領(lǐng)先地位和對世界文明的影響,增強(qiáng)民族自豪感。

【教學(xué)目標(biāo)】知識與技能:了解我國不同等級城市的劃分,并理論聯(lián)系實(shí)際辨別現(xiàn)實(shí)社會的城市等級運(yùn)用有關(guān)原理,說明不同等級城市服務(wù)范圍的差異。了解城市服務(wù)范圍與地理位置的關(guān)系。掌握不同等級城市的分布特點(diǎn)了解稱城市六邊形理論,并能用其解釋荷蘭圩田居民點(diǎn)設(shè)置問題過程與方法:通過對棗強(qiáng)鎮(zhèn)及上海城市等級演化分布的學(xué)習(xí),掌握不同等級城市城市服務(wù)范圍與功能以及城市等級提高的基本條件通過對德國城市分布案例的學(xué)習(xí),總結(jié)歸納出不同等級城市分布規(guī)律通過城市六邊形理論的學(xué)習(xí),學(xué)會分析城市居民點(diǎn)布局等現(xiàn)實(shí)問題情感態(tài)度與價(jià)值觀:通過學(xué)生對我國不同等級城市(經(jīng)濟(jì)、人口、交通、服務(wù)種類)等相關(guān)資料的搜集,讓學(xué)生關(guān)心我國基本地理國情,增強(qiáng)熱愛祖國的情感。養(yǎng)成求真、求實(shí)的科學(xué)態(tài)度,提高地理審美情趣。

一、說教材的地位和作用《細(xì)胞中的元素和化合物》是人教版教材生物必修一第二章第1節(jié)內(nèi)容?!都?xì)胞中的元素和化合物》這一節(jié),首先在節(jié)的引言中,明確指出自然界的生物體中的元素是生物有選擇地從無機(jī)自然界中獲得的,沒有一種元素是細(xì)胞特有的。但細(xì)胞與非生物相比,各元素的含量又大不相同。說明生物界與非生物界具有統(tǒng)一性和差異性。這部分內(nèi)容較為淺顯,但是結(jié)論非常重要,對于學(xué)生了解生物的物質(zhì)性具有重要意義二、說教學(xué)目標(biāo)根據(jù)本教材的結(jié)構(gòu)和內(nèi)容分析,結(jié)合著高一年級學(xué)生的認(rèn)知結(jié)構(gòu)及心理特征,我制定了以下的教學(xué)目標(biāo):1、知識目標(biāo):知道組成細(xì)胞的主要元素;知道為什么碳元素是構(gòu)成細(xì)胞的基本元素2、能力目標(biāo):學(xué)會檢測生物組織中的糖類、脂肪和蛋白質(zhì)的方法。(1)通過對C元素的分析,說明有機(jī)化合物形成的可能性及必然性,初步培養(yǎng)學(xué)生跨學(xué)科綜合分析問題的能力。(2)通過對組成細(xì)胞中的元素的百分比的分析,通過對不同化合物的質(zhì)量分?jǐn)?shù)的學(xué)習(xí),培養(yǎng)學(xué)生理解、思考和分析問題的能力。

首先引導(dǎo)回顧細(xì)胞質(zhì)內(nèi)各個(gè)細(xì)胞器的分工協(xié)作、產(chǎn)生分泌蛋白的過程;同時(shí)思考:為什么這些細(xì)胞器可以這樣有條不紊的密切協(xié)作?這中間有沒有專門起協(xié)調(diào)和控制作用的部門?從而導(dǎo)入本節(jié)內(nèi)容。通過學(xué)生小組討論及師生共同分析“資料分析”中的4個(gè)實(shí)驗(yàn),總結(jié)出細(xì)胞核的功能,即細(xì)胞核是遺傳信息庫,控制細(xì)胞代謝和遺傳的功能。在此基礎(chǔ)上,向?qū)W生舉出克隆羊多莉的實(shí)例,加強(qiáng)理解。設(shè)問:那么細(xì)胞核為什么能成為細(xì)胞代謝和遺傳的控制中心?要弄清這個(gè)問題,我們必須從細(xì)胞核的結(jié)構(gòu)中尋找答案,從而引出細(xì)胞的結(jié)構(gòu)。在這部分,引導(dǎo)學(xué)生思考以下幾個(gè)問題:(1)細(xì)胞核能控制細(xì)胞的遺傳,說明其應(yīng)該有什么物質(zhì)?(2)含有DNA的結(jié)構(gòu)如線粒體、葉綠體,它們的外面都有什么相同的結(jié)構(gòu)?(3)細(xì)胞核能控制細(xì)胞,肯定能與外界聯(lián)系,如何能辦到?(4)學(xué)習(xí)RNA的分布時(shí),RNA主要分布在細(xì)胞質(zhì),少量還分布在哪里呢?

(一)教材的地位與作用本節(jié)描述地球所處的宇宙環(huán)境包括兩部分內(nèi)容,一是能在天體系統(tǒng)中確定地球所在位置,二是結(jié)合太陽燃燒的穩(wěn)定狀態(tài)和大行星運(yùn)軌道特征,說明地球存在生命的宇宙環(huán)境特征。這里需要補(bǔ)充太陽大小長期穩(wěn)定的燃燒保證地球表面長期保持適宜的溫度,有利生命進(jìn)化;大小行星公轉(zhuǎn)各行其道,保證地球宇宙環(huán)境的安全。這兩點(diǎn)宜在討論地球是特殊的行星時(shí)補(bǔ)充。說明地球是太陽系中一顆既普通又特殊的行星要通過 3引導(dǎo)學(xué)生從圖文資料中找出地球與其他行星在運(yùn)動(dòng)特征和結(jié)構(gòu)特征上的共性以及軌道位置和自身?xiàng)l件上的特性。運(yùn)動(dòng)特征共性包括同向性、共面性和近圓性;結(jié)構(gòu)特征主要是通過與類地行星比較得出地球在質(zhì)量和體積方面不具特殊性。地球上存在生命主要是因?yàn)槿盏鼐嚯x適中,所以有適合的溫度;因?yàn)榈厍蛸|(zhì)量和體積適中,所以能吸引住大氣形成厚度、壓力適合的大氣層;因?yàn)榈厍虼嬖趲r漿活動(dòng),所以有地球內(nèi)部氫氧分異化合的水汽溢出形成海洋。

2.民族工業(yè)的遭受打擊自主探究4:閱讀【歷史縱橫】和教材插圖,探究抗戰(zhàn)時(shí)期民族走向萎縮的原因有哪些?在淪陷區(qū)日軍的摧毀和吞并;在國統(tǒng)區(qū)國民政府強(qiáng)化對經(jīng)濟(jì)的全面統(tǒng)治;官僚資本壟斷經(jīng)濟(jì)命脈,壓制民族工業(yè)牟取暴利。造成了什么后果?(官僚資本的膨脹,民族資本的萎縮)3、民族工業(yè)的萎縮討論:為什么抗戰(zhàn)勝利了,民族資本主義工業(yè)反而日益萎縮呢?學(xué)生通過合作學(xué)習(xí),對教材提供的資料進(jìn)行認(rèn)真分析,認(rèn)識到美國的經(jīng)濟(jì)掠奪、官僚資本的擠壓、通貨膨脹三個(gè)因素的共同作用,使民族工業(yè)陷入絕境,紛紛倒閉??箲?zhàn)勝利后,國民政府雖采取了一些措施推動(dòng)國民經(jīng)濟(jì)的發(fā)展,但是,國民政府為了取得美國的援助,不惜出賣國家主權(quán),與美國在1946年簽訂《中美友好通商航海條約》,讓美國在華攫取政治、經(jīng)濟(jì)等特權(quán)。中國民族工業(yè)紛紛破產(chǎn)。

(三)教學(xué)目標(biāo)1、明確成語的來源,了解成語的結(jié)構(gòu)特點(diǎn)。2、學(xué)習(xí)積累成語的方法。3、梳理學(xué)習(xí)過的成語,做到能正確理解、使用所學(xué)的常用成語。(四)教學(xué)重點(diǎn)和難點(diǎn)1、學(xué)習(xí)積累成語的方法。2、正確理解、使用所學(xué)的常用成語。二、說教法新的《高中語文課程標(biāo)準(zhǔn)》要求學(xué)生主動(dòng)去發(fā)現(xiàn)問題、解決問題,教師是課堂學(xué)習(xí)的組織者、參與者,是課堂的主導(dǎo),而不是課堂的主體。而且,新的課程標(biāo)準(zhǔn)要求學(xué)生“能圍繞所選擇的目標(biāo)加強(qiáng)語文積累,在積累的過程中,注重梳理”。在這種前提下,本節(jié)課可以采取以下方法:由于這種梳理是對學(xué)生已有的知識進(jìn)行歸納分類,可能顯得比較枯燥。為了避免這種枯燥感,可以采取設(shè)置情境和分組競答的方法,調(diào)動(dòng)學(xué)生的積極性。

課前活動(dòng):分成四組,對南京三個(gè)住房地段進(jìn)行調(diào)查,新街口夫子廟、板倉、仙林,對住房居民進(jìn)行問卷調(diào)查,自行設(shè)計(jì)調(diào)查問卷,分析該地段的房價(jià)要求,居民的要求,居民為何要在該地段購買住房,基礎(chǔ)設(shè)施設(shè)置等等其它與居民購房有關(guān)的因素?!粼O(shè)計(jì)意圖:利用課前小組探究形式對所學(xué)問題進(jìn)行相關(guān)調(diào)查,不僅讓學(xué)生掌握知識了解知識來源于社會還能培養(yǎng)學(xué)生深入生活交際表達(dá)能力以及合作探究能力;3.問題設(shè)計(jì)同學(xué)們,不知道你們在調(diào)查過程中是否發(fā)現(xiàn)一個(gè)問題,郊區(qū)的房子,特別是別墅,都是些高檔居所,許多有錢人的居住場所,那為什么會這樣呢?伴隨著城市化進(jìn)程中居民都往城里擠,為什么還會有許多有錢人往郊區(qū)搬呢?這就是我們今天要研究的第二個(gè)問題:逆城市化?!粼O(shè)計(jì)意圖:承轉(zhuǎn)過渡知識,從購房選擇因素的學(xué)習(xí)過渡到郊區(qū)化的學(xué)習(xí),同時(shí)培養(yǎng)學(xué)生發(fā)現(xiàn)問題的能力,給學(xué)生以啟迪。

師:同學(xué)們這個(gè)暑假過得真不錯(cuò)呀,都有自己最開心的日子。同學(xué)們經(jīng)歷的這些活動(dòng),讓你們自己長了知識,豐富了閱歷,你們今天的介紹,也讓我和更多的同學(xué)大開了眼界。由此可見,在今天,通過親身參與、實(shí)踐,通過網(wǎng)絡(luò)、電影,通過交流發(fā)言,大家獲得了許多新的信息、知識,增強(qiáng)了對祖國美好河山的熱愛、對科技的向往和異國的友誼。同學(xué)們信息交流的過程,實(shí)際上也是文化傳播的過程。板書課題:第二課時(shí)文化在交流中傳播話題導(dǎo)入討論話題:如何建設(shè)文明校園?(課前準(zhǔn)備:要求同學(xué)們仔細(xì)觀察、了解關(guān)于校園文明現(xiàn)象的問題,并就如何建設(shè)文明校園提出自己的建議。教師可按自然組,讓學(xué)生推選一名代表發(fā)言,就校園文明方面談?wù)劥嬖诘膯栴}和不足,或提出一些中肯的改進(jìn)意見)(學(xué)生交流)生1:建設(shè)文明校園,首先要凈化語言環(huán)境,我們學(xué)校不少同學(xué)愛說臟話,與文明校園很不相稱。

板書:多民族文化對中華文化的意義師:中華民族是多民族的共同體,中華文化呈現(xiàn)多種民族文化的豐富色彩。中華各民族的文化,既有中華文化的共性,又有各自的民族特性。它們都是中華文化的瑰寶,都是中華民族的驕傲。各兄弟民族文化相互交融、相互促進(jìn),共同創(chuàng)造了中華文化。各族人民對共同擁有的中華文化的認(rèn)同感和歸屬感,顯示了中華民族厚重的文化底蘊(yùn)和強(qiáng)大的民族凝聚力。問題探究8溫家寶總理在美國會見華僑時(shí)滿懷深情地說,中國已解決了香港問題和澳門問題,洗刷了百年恥辱,現(xiàn)在剩下一個(gè)臺灣問題,“這一灣淺淺的海峽是我們最大的鄉(xiāng)愁、最大的國殤”。用有關(guān)知識分析:為什么“這一灣淺淺的海峽是我們最大的鄉(xiāng)愁、最大的國殤”?生1:臺灣是中國的一部分,臺灣各族人民是中華民族的一部分,臺灣文化歸屬于中華文化。生2:傳統(tǒng)的民族文化是維系民族生存和發(fā)展的精神紐帶。

2、學(xué)生分析 九十年代初期出生的孩子,生活在一個(gè)充滿活力的時(shí)代,張揚(yáng)個(gè)性成為他(她)們的主旋律。面對這一時(shí)代的學(xué)生,溝通需要用心、用技巧,那也是一門藝術(shù)。高中學(xué)生的心理日趨成熟,有一定的知識積累,且比較豐富;語言邏輯性強(qiáng),有較強(qiáng)的參與意識,求知欲望及表現(xiàn)欲望。學(xué)生主體參與的充分,表現(xiàn)在其主動(dòng)性,積極性得到極大的調(diào)動(dòng)。這與教師的主導(dǎo)作用是分不開的。本課教案就是要引導(dǎo)學(xué)生自己先閱讀書本、獨(dú)立思考、激發(fā)學(xué)生思維,引導(dǎo)學(xué)生各抒己見,讓學(xué)生自己得出解答問題的結(jié)論,不追求答案的唯一。充分體現(xiàn)了讀書是一種個(gè)體行為,每個(gè)學(xué)生有不同的體驗(yàn)。教師應(yīng)跳出教案的問題模式,和學(xué)生一道去創(chuàng)造地發(fā)現(xiàn)問題、分析問題、解決問題,在成功中尋找快樂、在快樂中更加成功。同時(shí)特別注重創(chuàng)設(shè)的情景的選擇性,有針對性和實(shí)效性,引導(dǎo)學(xué)生們積極、主動(dòng)參與,使他們的潛能、智慧得出充分挖掘、展示。只有當(dāng)學(xué)生們在課堂上表現(xiàn)出來的獨(dú)特的、有創(chuàng)意的設(shè)計(jì)見解,學(xué)生主體參與和教師主導(dǎo)二者完美結(jié)合,才能表明該課的設(shè)計(jì)卓有成效。

本節(jié)課是新版教材人教A版普通高中課程標(biāo)準(zhǔn)實(shí)驗(yàn)教科書數(shù)學(xué)必修1第四章第4.3.2節(jié)《對數(shù)的運(yùn)算》。其核心是弄清楚對數(shù)的定義,掌握對數(shù)的運(yùn)算性質(zhì),理解它的關(guān)鍵就是通過實(shí)例使學(xué)生認(rèn)識對數(shù)式與指數(shù)式的關(guān)系,分析得出對數(shù)的概念及對數(shù)式與指數(shù)式的 互化,通過實(shí)例推導(dǎo)對數(shù)的運(yùn)算性質(zhì)。由于它還與后續(xù)很多內(nèi)容,比如對數(shù)函數(shù)及其性質(zhì),這也是高考必考內(nèi)容之一,所以在本學(xué)科有著很重要的地位。解決重點(diǎn)的關(guān)鍵是抓住對數(shù)的概念、并讓學(xué)生掌握對數(shù)式與指數(shù)式的互化;通過實(shí)例推導(dǎo)對數(shù)的運(yùn)算性質(zhì),讓學(xué)生準(zhǔn)確地運(yùn)用對數(shù)運(yùn)算性質(zhì)進(jìn)行運(yùn)算,學(xué)會運(yùn)用換底公式。培養(yǎng)學(xué)生數(shù)學(xué)運(yùn)算、數(shù)學(xué)抽象、邏輯推理和數(shù)學(xué)建模的核心素養(yǎng)。1、理解對數(shù)的概念,能進(jìn)行指數(shù)式與對數(shù)式的互化;2、了解常用對數(shù)與自然對數(shù)的意義,理解對數(shù)恒等式并能運(yùn)用于有關(guān)對數(shù)計(jì)算。

學(xué)生已經(jīng)學(xué)習(xí)了指數(shù)運(yùn)算性質(zhì),有了這些知識作儲備,教科書通過利用指數(shù)運(yùn)算性質(zhì),推導(dǎo)對數(shù)的運(yùn)算性質(zhì),再學(xué)習(xí)利用對數(shù)的運(yùn)算性質(zhì)化簡求值。課程目標(biāo)1、通過具體實(shí)例引入,推導(dǎo)對數(shù)的運(yùn)算性質(zhì);2、熟練掌握對數(shù)的運(yùn)算性質(zhì),學(xué)會化簡,計(jì)算.數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:對數(shù)的運(yùn)算性質(zhì);2.邏輯推理:換底公式的推導(dǎo);3.數(shù)學(xué)運(yùn)算:對數(shù)運(yùn)算性質(zhì)的應(yīng)用;4.數(shù)學(xué)建模:在熟悉的實(shí)際情景中,模仿學(xué)過的數(shù)學(xué)建模過程解決問題.重點(diǎn):對數(shù)的運(yùn)算性質(zhì),換底公式,對數(shù)恒等式及其應(yīng)用;難點(diǎn):正確使用對數(shù)的運(yùn)算性質(zhì)和換底公式.教學(xué)方法:以學(xué)生為主體,采用誘思探究式教學(xué),精講多練。教學(xué)工具:多媒體。一、 情景導(dǎo)入回顧指數(shù)性質(zhì):(1)aras=ar+s(a>0,r,s∈Q).(2)(ar)s= (a>0,r,s∈Q).(3)(ab)r= (a>0,b>0,r∈Q).那么對數(shù)有哪些性質(zhì)?如 要求:讓學(xué)生自由發(fā)言,教師不做判斷。而是引導(dǎo)學(xué)生進(jìn)一步觀察.研探.
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