Activity 41. Students complete the task of activity 4, then teachers and students check the answers. 2. The teacher organized the students to work together and asked them to use the tables and mind maps sorted out before to retold the important choices in Lin Qiaozhi's life and their resultsStep 5 Language points1. The teacher asks the students to read the text carefully, find out the core words and long and difficult sentences in the text and draw lines, understand the use of vocabulary, and analyze the structure of long and difficult sentences. 2. The teacher explains and summarizes the usage of core vocabulary and asks the students to take notes. 3. The teacher analyzes and explains the long and difficult sentences that the students don't understand, so that the students can understand them better. Step 6 Homework1. Read the text again, in-depth understanding of the text; 2. Master the use of core vocabulary and understand the long and difficult sentences. 3. Complete relevant exercises in the guide plan. 1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否結(jié)合文本特點(diǎn)總結(jié)林巧稚的人生原則和人格品質(zhì)特征;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否針對(duì)人生抉擇發(fā)表自己的看法;能否全面地、客觀地、理性地看待問題,進(jìn)而對(duì)道德和人性有更加深入的思考和理解。
*wide range of origins(= a great number of different origins, many kinds of origins)*It featured a parade and a great feast with music, dancing, and sports. (=A parade and a great feast with music, dancing, and sports were included as important parts of the Egyptian harvest festival.)*.. some traditions may fade away and others may be established.(= Some traditions may disappear gradually, while other new traditions may come into being.)Step 6 Practice(1) Listen and follow the tape.The teacher may remind the students to pay attention to the meaning and usage of the black words in the context, so as to prepare for the completion of the blanks in activity 5 and vocabulary exercises in the exercise book.(2) Students complete the text of activity 5 by themselves.The teacher needs to remind the students to fill in the blanks with the correct form of the vocabulary they have learned in the text.Students exchange their answers with their partners, and then teachers and students check their answers.(3)Finish the Ex in Activity 5 of students’ book.Step 7 Homework1. Read the text again, in-depth understanding of the text;2. Discuss the origin of festivals, the historical changes of related customs, the influence of commercial society on festivals and the connotation and essential meaning of festivals.3. Complete relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否結(jié)合文本特點(diǎn)快速而準(zhǔn)確地找到主題句;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否理清論說文的語篇結(jié)構(gòu)和文本邏輯,了解節(jié)日風(fēng)俗發(fā)展與變遷,感悟節(jié)日的內(nèi)涵與意義。
1. Ss look at the picture and scan the passage to understand the main idea while teacher is giving the following questions to inspire Ss to think.*Where are those people?*What are they doing?*Why are they so excited?2. Ss complete the passage with the appropriate -ing form. Then discuss and check the answers with class.Answers: boring, interesting, taking, exciting, amazing3. The teacher raises questions for the students to discuss and encourages them to express their opinions.*Do you like La Tomatina? Why or why not?4. Each group representative reports the discussion result, the teacher gives feedback and the evaluation.Step 6 PracticeActivity 41. Ss complete the Ex 2 in Using structures.2. Check the answers after finishing the exercises.①The dragon boat races are the most exciting part of the Dragon Boat Festival.② The children were excited to go Easter egg hunting.③What an amazing performance! This is the best music festival I have ever been to.④We were amazed by her funny-looking hat.⑤His inspiring speech at the conference won the admiration/ favour of the audience.⑥This is a challenging game to test your memory and observation capabilities. 3. T asks Ss to finish Ex 3 and 4 in Using structures by themselves, then check the answers with class.Step 6 Homework1. Understand and master the functions and usage of the -ing form;2. Finish the other exercises in Using structures.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握動(dòng)詞-ing形式作定語和表語的功能和意義;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否在理解文段內(nèi)容的基礎(chǔ)上,根據(jù)上下文語境和表達(dá)邏輯,能正確運(yùn)用動(dòng)詞-ing形式描述節(jié)日慶典。3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否歸納和積累用于表達(dá)情緒的相關(guān)詞匯。
The joke set her crying.這個(gè)玩笑使她哭起來。Step 5 ReadingActivity 31. Students read the small text in activity 3. The teacher provides several small questions to check whether students understand the content of the text and the ideographic function of the -ing form in the text.*Where are those people?*Why did Dr Bethune come to China?*How did he help the Chinese people during the war?*What did Chairman Mao Zedong say about him?2. Ss try to rewrite some sentences using the -ing form. Then check the answers. When checking the answers, the teacher can ask different students to read the rewritten sentences and give comments.Answers:1. he became very interested in medicine, deciding to become a doctor.2. …after hearing that many people were dying in the war.3. Helping to organise hospitals, he taught doctors and nurses, and showed people how to give first aid./ He helped to organise hospitals, teaching doctors and nurses, and showing people how to give first aid.4. …praising Dr Bethune as a hero to be remembered in China.Step 6 PracticeActivity 4Students complete grammar activities 2 and 3 on page 69 of the workbook.Step 6 Homework1. Understand and master the functions and usage of the -ing form;2. Finish the other exercises in Using structures.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握動(dòng)詞-ing形式作賓語補(bǔ)足語語和狀語語的功能和意義;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否正確使用動(dòng)詞-ing形式描述人物的行為、動(dòng)作及其經(jīng)歷;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否獨(dú)立完成練習(xí)冊(cè)和導(dǎo)學(xué)案中的相關(guān)練習(xí)。
3.Teachers ask different groups to report the answers to the questions and ask them to try different sentence patterns.The teacher added some sentence patterns for students to refer to when writing.Step 4 Writing taskActivity 51.Write the first draft.Students first review the evaluation criteria in activity 5, and then independently complete the draft according to the outline of activity 4, the answers to the questions listed in the group discussion and report, and the reference sentence pattern.2.Change partners.The teacher guides the students to evaluate their partner's composition according to the checklist of activity 5 and proposes Suggestions for modification.3.Finalize the draft.Based on the peer evaluation, students revise their own compositions and determine the final draft.Finally, through group recommendation, the teacher selects excellent compositions for projection display or reading aloud in class, and gives comments and Suggestions.Step 5 Showing writingActivity 5T call some Ss to share their writing.Step 6 Homework1. Read the passage in this section to better understand the passage.2. Carefully understand the hierarchical structure of the article, and deeply understand the plot of the story according to the causes, process and results;3. Independently complete the relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否通過人物言行的對(duì)比分析道德故事的深層內(nèi)涵;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否根據(jù)故事的起因、經(jīng)過和結(jié)果來深入理解故事的情節(jié),從而了解文章的層次結(jié)構(gòu);4、結(jié)合現(xiàn)實(shí)生活案例發(fā)表自己的見解和看法,寫一篇觀點(diǎn)明確、層次分明的故事評(píng)論。
一、活動(dòng)內(nèi)容分析西歐從5世紀(jì)末至9世紀(jì)歷經(jīng)四個(gè)世紀(jì)完成了由奴隸制度向封建制度的轉(zhuǎn)變,西歐中世紀(jì)即西歐的封建社會(huì),形成了與中國封建社會(huì)不同的特點(diǎn)。理解這些特點(diǎn),將有助于學(xué)生理解西歐在世界上最早進(jìn)入資本主義社會(huì)的原因。盡管神學(xué)世界觀籠罩了西方中世紀(jì),是黑暗的,但是應(yīng)看到,自古代流傳下來的政治思想傳統(tǒng)如平等、自由、民主、法制等思想史都以不同的形式保存下來。歐洲的中世紀(jì)表面上看起來是一個(gè)陰森森的一千年(五百年到一千五百年),但實(shí)際上確實(shí)孕育了西方近代文明的重要時(shí)期。從探究活動(dòng)的內(nèi)容上看與第二單元的古代希臘羅馬的政治制度及第三單元近代西方資本主義政治制度的確立與發(fā)展明確相關(guān),有承上啟下的作用。二、活動(dòng)重點(diǎn)設(shè)計(jì)理解西歐封建社會(huì)的政治特點(diǎn)及對(duì)后世的影響;正確認(rèn)識(shí)基督教文明
知識(shí)與技能1.了解大牧場(chǎng)放牧業(yè)和乳畜業(yè)兩種農(nóng)業(yè)地域類型及其分布。2.通過學(xué)習(xí)大牧場(chǎng)放牧業(yè),學(xué)會(huì)分析農(nóng)業(yè)區(qū)位因素,訓(xùn)練讀圖分析能力。3.掌握大牧場(chǎng)放牧業(yè)在經(jīng)營方式、商品化、專業(yè)化、經(jīng)濟(jì)效益等方面的特點(diǎn)。4.解西歐乳畜業(yè)的形成因素。過程 與方法1.通過對(duì)潘帕斯草原大牧場(chǎng)放牧業(yè)區(qū)位因素的分析,學(xué)會(huì)歸納大牧場(chǎng)放牧業(yè)的區(qū)位條件。2.把西歐乳畜業(yè)和潘帕斯草原大牧場(chǎng)放牧業(yè)的區(qū)位條件作比較。情感態(tài)度與價(jià)值觀1.自然條件是農(nóng)業(yè)地域類型形成的條件,人類必須尊重自然規(guī)律,才能天人合一。2.人文條件也越來越大地影響到農(nóng)業(yè)的區(qū)位選擇,事物是發(fā)展的,不能用靜止的觀點(diǎn)看待問題?!窘虒W(xué)重點(diǎn)】1.理解大牧場(chǎng)放牧業(yè)和乳畜業(yè)兩類農(nóng)業(yè)地域類型的區(qū)位因素。2.利用圖表資料分析農(nóng)業(yè)區(qū)位因素的能力。
一、教材分析普通高中思想政治課程標(biāo)準(zhǔn)及浙江省普通高中新課程實(shí)驗(yàn)學(xué)科教學(xué)指導(dǎo)意見對(duì)本課時(shí)內(nèi)容做了如下規(guī)定:基本要求:知道我國是統(tǒng)一的多民族國家;理解我國處理民族關(guān)系的三項(xiàng)基本原則及其相互關(guān)系;懂得處理民族關(guān)系的重要性,自覺履行維護(hù)國家統(tǒng)一和民族團(tuán)結(jié)的義務(wù)。發(fā)展要求:聯(lián)系國內(nèi)外的具體事例,加深理解我國處理民族關(guān)系的基本原則的重要性。本框題有如下內(nèi)容不作拓展:我們偉大的祖國是各族人民共同締造的;我國新型民族關(guān)系的形成;實(shí)施西部大開發(fā)戰(zhàn)略對(duì)加快民族自治地方的經(jīng)濟(jì)和社會(huì)發(fā)展的意義;我國能夠真正建立新型民族的原因?!短幚砻褡尻P(guān)系的原則:平等、團(tuán)結(jié)、共同繁榮》是高一《政治生活》第三單元第七課內(nèi)容,本課內(nèi)容由三目構(gòu)成,第一目:雪域高原的歷史性跨越,第二目:我國處理民族關(guān)系的基本原則,第三目:鞏固社會(huì)主義民族關(guān)系,我們?cè)撟鍪裁矗茏鍪裁础?/p>
1.了解我國城市等級(jí)劃分的標(biāo)準(zhǔn),知道不同國家和地區(qū)城市等級(jí)劃分的標(biāo)準(zhǔn)是不同的。2.了解不同的城市等級(jí)其城市地域結(jié)構(gòu)不同,提供的服務(wù)種類和服務(wù)范圍是不同的。聯(lián)系城市地域結(jié)構(gòu)的有關(guān)理論,說明不同規(guī)模城市服務(wù)功能的差異。3.了解不同等級(jí)城市服務(wù)范圍的嵌套理論,了解不同等級(jí)城市空間分布特點(diǎn)。教學(xué)重點(diǎn):1.了解我國城市等級(jí)劃分的標(biāo)準(zhǔn)2.了解不同的城市等級(jí)其城市地域結(jié)構(gòu)不同,提供的服務(wù)種類和服務(wù)范圍是不同的。教學(xué)難點(diǎn)::不同等級(jí)城市服務(wù)范圍的嵌套理論教具準(zhǔn)備:多媒體教學(xué)方法:比較分析法、圖示法、講述法、列表對(duì)比法教學(xué)過程:第一課時(shí)導(dǎo)入新課:我們生活在不同的城市,如廣州、佛山、西樵等,我們知道,這些城市有大小之分,也就是說城市等級(jí)是是不同的,那么城市的等級(jí)是如何劃分的呢?不同等級(jí)城市的服務(wù)功能如何呢?這就是我們今天要探討的第二節(jié)
【教學(xué)重點(diǎn)】1.利用農(nóng)業(yè)區(qū)位因素分析的方法,學(xué)習(xí)水稻種植業(yè)和商品谷物農(nóng)業(yè)的特點(diǎn);2.對(duì)比水稻種植業(yè)和商品谷物農(nóng)業(yè)兩種農(nóng)業(yè)生產(chǎn)地域類型,理解在農(nóng)業(yè)地域類型形成的過程中,各個(gè)農(nóng)業(yè)區(qū)位因素對(duì)其發(fā)展的影響?!窘虒W(xué)難點(diǎn)】1.學(xué)習(xí)農(nóng)業(yè)區(qū)位因素分析的方法,分析形成農(nóng)業(yè)地域類型的主導(dǎo)因素;2.結(jié)合文字資料與圖示資料的閱讀,初步掌握提取地理信息的基本方法。【教學(xué)方法】自主探究與講議結(jié)合【教學(xué)課時(shí)】1課時(shí)【教學(xué)過程】(導(dǎo)入新課)同學(xué)們,通過前面一節(jié)課的學(xué)習(xí),我們已經(jīng)樹立了農(nóng)業(yè)區(qū)位因素的基本理論,并且有了農(nóng)業(yè)地域類型的一些基本認(rèn)識(shí),學(xué)習(xí)了種植業(yè)和畜牧業(yè)兼有的澳大利亞的混合農(nóng)業(yè),這一節(jié)我們繼續(xù)學(xué)習(xí)兩種以種 植業(yè)為主的農(nóng)業(yè)地域類型——季風(fēng)水田農(nóng)業(yè)和商品谷物農(nóng)業(yè)。
情境導(dǎo)學(xué)前面我們已討論了圓的標(biāo)準(zhǔn)方程為(x-a)2+(y-b)2=r2,現(xiàn)將其展開可得:x2+y2-2ax-2bx+a2+b2-r2=0.可見,任何一個(gè)圓的方程都可以變形x2+y2+Dx+Ey+F=0的形式.請(qǐng)大家思考一下,形如x2+y2+Dx+Ey+F=0的方程表示的曲線是不是圓?下面我們來探討這一方面的問題.探究新知例如,對(duì)于方程x^2+y^2-2x-4y+6=0,對(duì)其進(jìn)行配方,得〖(x-1)〗^2+(〖y-2)〗^2=-1,因?yàn)槿我庖稽c(diǎn)的坐標(biāo) (x,y) 都不滿足這個(gè)方程,所以這個(gè)方程不表示任何圖形,所以形如x2+y2+Dx+Ey+F=0的方程不一定能通過恒等變換為圓的標(biāo)準(zhǔn)方程,這表明形如x2+y2+Dx+Ey+F=0的方程不一定是圓的方程.一、圓的一般方程(1)當(dāng)D2+E2-4F>0時(shí),方程x2+y2+Dx+Ey+F=0表示以(-D/2,-E/2)為圓心,1/2 √(D^2+E^2 "-" 4F)為半徑的圓,將方程x2+y2+Dx+Ey+F=0,配方可得〖(x+D/2)〗^2+(〖y+E/2)〗^2=(D^2+E^2-4F)/4(2)當(dāng)D2+E2-4F=0時(shí),方程x2+y2+Dx+Ey+F=0,表示一個(gè)點(diǎn)(-D/2,-E/2)(3)當(dāng)D2+E2-4F0);
解析:當(dāng)a0時(shí),直線ax-by=1在x軸上的截距1/a0,在y軸上的截距-1/a>0.只有B滿足.故選B.答案:B 3.過點(diǎn)(1,0)且與直線x-2y-2=0平行的直線方程是( ) A.x-2y-1=0 B.x-2y+1=0C.2x+y=2=0 D.x+2y-1=0答案A 解析:設(shè)所求直線方程為x-2y+c=0,把點(diǎn)(1,0)代入可求得c=-1.所以所求直線方程為x-2y-1=0.故選A.4.已知兩條直線y=ax-2和3x-(a+2)y+1=0互相平行,則a=________.答案:1或-3 解析:依題意得:a(a+2)=3×1,解得a=1或a=-3.5.若方程(m2-3m+2)x+(m-2)y-2m+5=0表示直線.(1)求實(shí)數(shù)m的范圍;(2)若該直線的斜率k=1,求實(shí)數(shù)m的值.解析: (1)由m2-3m+2=0,m-2=0,解得m=2,若方程表示直線,則m2-3m+2與m-2不能同時(shí)為0,故m≠2.(2)由-?m2-3m+2?m-2=1,解得m=0.
一、教材分析第四單元“發(fā)展社會(huì)主義市場(chǎng)經(jīng)濟(jì)”旨在培養(yǎng)社會(huì)主義的建設(shè)者,高中生是未來社會(huì)主義現(xiàn)代化建設(shè)的主力軍,是將來參與市場(chǎng)經(jīng)濟(jì)活動(dòng)的主要角色,承擔(dān)著全面建設(shè)小康社會(huì)的重任,本課的邏輯分為兩目:第一目,從“總體小康到全面小康”。這一部分的邏輯結(jié)構(gòu)如下:首先謳歌我國人民的生活水平達(dá)到總體小康這一偉大成就,然后從微觀和宏觀兩個(gè)方面介紹總體小康的成就。同時(shí)指出,我國現(xiàn)在達(dá)到的小康是低水平、不全面、發(fā)展不平衡的小康。第二目“經(jīng)濟(jì)建設(shè)的新要求”。這一目專門介紹全面建設(shè)小康社會(huì)的經(jīng)濟(jì)目標(biāo),也是學(xué)生要重點(diǎn)把握的內(nèi)容。二、教學(xué)目標(biāo)(一)知識(shí)目標(biāo)(1)識(shí)記總體小康的建設(shè)成就在宏觀和微觀上的表現(xiàn),全面建設(shè)小康社會(huì)的經(jīng)濟(jì)建設(shè)目標(biāo)。(2)理解低水平、不全面、發(fā)展很不平衡的小康,以及小康社會(huì)建設(shè)進(jìn)程是不平衡的發(fā)展過程。(3)運(yùn)用所學(xué)知識(shí),初步分析全面建設(shè)小康社會(huì)的意義。
(4)Finally, I will ask the SS what this sentence mean:It is always calm before a storm.Purpose: attract the SS attention and bring them into discussionStep 2: Pre-reading 讀前Here, I will do the second question in pre-reading first. I will use the method of brainstorming to ask the SS what will happen before an earthquake; and list the phenomenon on the table. 2. Then I will show the SS the picture of abnormal phenomenon, at the same time, encourage the SS to describe.3、finally, I will summarize these phenomenon4、Do the first question in the pre-reading , Imaging your home begins to shake and you must leave it right away. You have time to take only one thing. What will you take? Why?Purpose: help the SS to get further understanding of the topic and stimulate their interests.Step3: While-reading 閱讀(1). Skimming Read the text quickly and catch the meaning of the first and second sentence of each paragraph. Predict the meaning of new words(2).scanning(找讀)A. Read the text again. Do the following question.1. When and where were the strange things happening?2. What are they?3. Why did the text say the world seemed to be at an end?4. How was the city destroyed after the quake?5. When did the second quake hit the city? What was the result of that?6. Who came to help Tangshan first? And how?B. Work in pairs to discuss the question.
活動(dòng)一:課本第三頁的活動(dòng)題,把學(xué)生分成幾組然后讓他們讀圖討論,思考書上的幾個(gè)問題,最后派個(gè)代表回答問題.最后教師做適當(dāng)?shù)难a(bǔ)充:人口的自然增長不僅與人口自然增長率有關(guān),而且還與人口基數(shù)有關(guān).活動(dòng)二:課本第七頁的活動(dòng),先讓兩位學(xué)生閱讀第六頁的案例結(jié)合活動(dòng)題思考問題,讓幾個(gè)組學(xué)生討論所給的幾個(gè)問題.讓學(xué)生歸納最后教師做適當(dāng)?shù)难a(bǔ)充.時(shí)間安排:由于本節(jié)內(nèi)容不難因此整個(gè)教學(xué)過程是一節(jié)課的時(shí)間來完成的因此在教學(xué)過程中注意時(shí)間的把握,在做活動(dòng)和討論時(shí)注意把握時(shí)間,自己盡量少說廢話.課堂小結(jié)通過這一節(jié)的學(xué)習(xí),同學(xué)們正確理解和認(rèn)識(shí)人口增長,增長模式和人口增長模式的轉(zhuǎn)變。我們可以利用比較法、分析法來掌握,并聯(lián)系現(xiàn)實(shí)生活,進(jìn)行分析、判斷,化理論知識(shí)于實(shí)踐之中。
(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。
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(duì)數(shù)的運(yùn)算》。其核心是弄清楚對(duì)數(shù)的定義,掌握對(duì)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(shí)對(duì)數(shù)式與指數(shù)式的關(guān)系,分析得出對(duì)數(shù)的概念及對(duì)數(shù)式與指數(shù)式的 互化,通過實(shí)例推導(dǎo)對(duì)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(duì)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(duì)數(shù)的概念、并讓學(xué)生掌握對(duì)數(shù)式與指數(shù)式的互化;通過實(shí)例推導(dǎo)對(duì)數(shù)的運(yùn)算性質(zhì),讓學(xué)生準(zhǔn)確地運(yùn)用對(duì)數(shù)運(yùn)算性質(zhì)進(jìn)行運(yùn)算,學(xué)會(huì)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(duì)數(shù)的概念,能進(jìn)行指數(shù)式與對(duì)數(shù)式的互化;2、了解常用對(duì)數(shù)與自然對(duì)數(shù)的意義,理解對(duì)數(shù)恒等式并能運(yùn)用于有關(guān)對(duì)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(shí)作儲(chǔ)備,教科書通過利用指數(shù)運(yùn)算性質(zhì),推導(dǎo)對(duì)數(shù)的運(yùn)算性質(zhì),再學(xué)習(xí)利用對(duì)數(shù)的運(yùn)算性質(zhì)化簡(jiǎn)求值。課程目標(biāo)1、通過具體實(shí)例引入,推導(dǎo)對(duì)數(shù)的運(yùn)算性質(zhì);2、熟練掌握對(duì)數(shù)的運(yùn)算性質(zhì),學(xué)會(huì)化簡(jiǎn),計(jì)算.數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:對(duì)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(duì)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(duì)數(shù)的運(yùn)算性質(zhì),換底公式,對(duì)數(shù)恒等式及其應(yīng)用;難點(diǎn):正確使用對(duì)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(duì)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.
對(duì)數(shù)與指數(shù)是相通的,本節(jié)在已經(jīng)學(xué)習(xí)指數(shù)的基礎(chǔ)上通過實(shí)例總結(jié)歸納對(duì)數(shù)的概念,通過對(duì)數(shù)的性質(zhì)和恒等式解決一些與對(duì)數(shù)有關(guān)的問題.課程目標(biāo)1、理解對(duì)數(shù)的概念以及對(duì)數(shù)的基本性質(zhì);2、掌握對(duì)數(shù)式與指數(shù)式的相互轉(zhuǎn)化;數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:對(duì)數(shù)的概念;2.邏輯推理:推導(dǎo)對(duì)數(shù)性質(zhì);3.數(shù)學(xué)運(yùn)算:用對(duì)數(shù)的基本性質(zhì)與對(duì)數(shù)恒等式求值;4.數(shù)學(xué)建模:通過與指數(shù)式的比較,引出對(duì)數(shù)定義與性質(zhì).重點(diǎn):對(duì)數(shù)式與指數(shù)式的互化以及對(duì)數(shù)性質(zhì);難點(diǎn):推導(dǎo)對(duì)數(shù)性質(zhì).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)入已知中國的人口數(shù)y和年頭x滿足關(guān)系 中,若知年頭數(shù)則能算出相應(yīng)的人口總數(shù)。反之,如果問“哪一年的人口數(shù)可達(dá)到18億,20億,30億......”,該如何解決?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.
函數(shù)在高中數(shù)學(xué)中占有很重要的比重,因而作為函數(shù)的第一節(jié)內(nèi)容,主要從三個(gè)實(shí)例出發(fā),引出函數(shù)的概念.從而就函數(shù)概念的分析判斷函數(shù),求定義域和函數(shù)值,再結(jié)合三要素判斷函數(shù)相等.課程目標(biāo)1.理解函數(shù)的定義、函數(shù)的定義域、值域及對(duì)應(yīng)法則。2.掌握判定函數(shù)和函數(shù)相等的方法。3.學(xué)會(huì)求函數(shù)的定義域與函數(shù)值。數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:通過教材中四個(gè)實(shí)例總結(jié)函數(shù)定義;2.邏輯推理:相等函數(shù)的判斷;3.數(shù)學(xué)運(yùn)算:求函數(shù)定義域和求函數(shù)值;4.數(shù)據(jù)分析:運(yùn)用分離常數(shù)法和換元法求值域;5.數(shù)學(xué)建模:通過從實(shí)際問題中抽象概括出函數(shù)概念的活動(dòng),培養(yǎng)學(xué)生從“特殊到一般”的分析問題的能力,提高學(xué)生的抽象概括能力。重點(diǎn):函數(shù)的概念,函數(shù)的三要素。難點(diǎn):函數(shù)概念及符號(hào)y=f(x)的理解。