【教材分析】本節(jié)課是高中英語第一冊(cè)的最后一個(gè)單元的閱讀和思考部分,文章難度明顯增加,體現(xiàn)在以下幾個(gè)方面:文章題材是說明文,比較難理解;話題生疏,涉及到歷史等知識(shí);生詞量增大,而且在語境中理解詞匯的要求提高。面對(duì)這些,教師的難度和高度也要有所提升,通過探討說明順序,了解背景知識(shí)等幫助他們找到說明文閱讀的方法?!窘虒W(xué)目標(biāo)與核心素養(yǎng)】1. 文化意識(shí)目標(biāo)新課程中指出,文化意識(shí)是對(duì)中外文化的理解和對(duì)優(yōu)秀文化的認(rèn)同。文化意識(shí)的的培養(yǎng)有助于學(xué)生增加國家認(rèn)同和家國情懷,成為有文明素養(yǎng)和社會(huì)責(zé)任感的人。我們這個(gè)單元很好體現(xiàn)了這一點(diǎn),通過了解漢字書寫的體系和發(fā)展,學(xué)生可以有一種文化自豪感,同時(shí)也能夠幫助學(xué)生深入挖掘這篇文章,從而想到更多和中國文化相關(guān)的方面。2. 學(xué)習(xí)能力目標(biāo)
Step 3: Read to sum upRead it again and sum up the problems of the three students, and then write down the advice that was given from others.Step 4: Work in pairs. List your learning problems in English and brainstorm some useful advice.Useful expressions ? I don't know how to…... Is a big difficulty for me. I cannot ...? You might try …. It's very important to…? I have no idea how/what .My biggest problem is .... ? I (also) have trouble with. My advice is …. This worked for me.? l cannot understand the teachers’ English in class.Step 5 Homework:為提高我校學(xué)生的英語口語水平,我們將舉辦英語演講比賽(English- speaking contest),請(qǐng)你根據(jù)下面的信息,以學(xué)生會(huì)(the Students‘ Union)的名義寫一份海報(bào),歡迎全校同學(xué)參加,屆時(shí)特邀本校美籍教師史密斯先生頒獎(jiǎng)。? 報(bào)名時(shí)間 9月30日以前(報(bào)名:signup)? 報(bào)名地點(diǎn) 學(xué)生會(huì)辦公室? 比賽時(shí)間 10月9日晚7:00~9:00? 比賽地點(diǎn) 學(xué)校大會(huì)議室? 獎(jiǎng)勵(lì) 前8名
Step 2 New WordsUse ppt to show some words from the passage.Tell the students to remember the meanings.Step3 Skimming and Thinking1. Skim the text and decide which order Han Jing follows to talk about her first day. Time order or place order?Time order2. What is Han Jing worried about before she goes to senior high school?She is worried about whether she will make new friends and if no one talks to her, what she should do.Step 4 Fast Reading1. Match the main ideas with each paragraphParagraph 1:The worries about the new school day Paragraph 2Han Jing’s first maths classParagraph 3Han Jing’s first chemistry classParagraph 4Han Jing’s feelings about her first senior school dayStep 5 Careful Reading1. Fill in the chart with the words and phrases about Han Jing’s day. Answers: Senior high school, a little nervous; Her first maths class, classmates and teachers, friendly and helpful; Chemistry lab; new; great; annoying guy; Confident; a lot to explore2. Read the text again and discuss the questions.1) Why did Han Jing feel anxious before school?Because she was a new senior high student and she was not outgoing. What was more, she was worried about whether she can make friends.2) How was her first maths class?It was difficult but the teacher was kind and friendly. 3) What happened in the chemistry class? What would you do if this happened to you? A guy next to Han Jing tried to talk with her and she couldn’t concentrate on the experiment.
(“節(jié)馬”:1841年1月7日,英國侵略者義律進(jìn)攻虎門,沙田炮臺(tái)副將陳連升率眾浴血奮戰(zhàn),壯烈犧牲。其馬“神駿”守護(hù)主人遺體,不屈敵之羈絆,不食敵之草料,不畏敵之鞭打刀刺,終不就范?!白驽驯蕖保鹤驽?,東晉名將,著名愛國將領(lǐng),曾率軍北伐,收復(fù)許多失地。此句大意為若要揚(yáng)眉吐氣,意氣風(fēng)發(fā),仍需祖逖的這種精神。)八、本文反映的就是香港回歸這一重大歷史事件本文是一篇新聞特寫。特寫性消息,也稱新聞速寫、新聞素描,要求用類似電影“特寫鏡頭”的手法來反映事實(shí),是作者深入新聞事件現(xiàn)場(chǎng),采寫制作的一種新聞價(jià)值高、現(xiàn)場(chǎng)感較強(qiáng)、篇幅短小精粹的消息文體。特寫性消息側(cè)重于“再現(xiàn)”,往往采用文學(xué)手法,集中、突出地描述某一重大事件的發(fā)生現(xiàn)場(chǎng),或某些重要和精彩的場(chǎng)面,生動(dòng)、形象地將所報(bào)道的事實(shí)再現(xiàn)在讀者面前。
四、講讀第一段(10分鐘)1.抽生朗讀本段,注意生字詞讀音。2.講析本段譯釋由學(xué)生完成,師只作扼要補(bǔ)糾和簡(jiǎn)要分析。分析內(nèi)容包括伏筆手法和語句深意,全段作用。3.讓學(xué)生齊讀全段。4.處理練習(xí)一之中的第1小題,要求學(xué)生試譯回答,然后指導(dǎo)學(xué)生背誦本段。五、講讀第二段(15分鐘)1.抽生朗讀本段,注意生字詞讀音。2.講析本段①重點(diǎn)講析三個(gè)文言詞“若”、“之”、“辭”的用法和人物對(duì)話。②字詞句的理解仍然注意發(fā)揮學(xué)生的能動(dòng)性,讓他們完成為主,師糾補(bǔ)為輔。對(duì)要求掌握的三個(gè)文言詞的用法要板書列于黑板上,對(duì)話部分要讓學(xué)生試作語氣練習(xí)。③小結(jié)的內(nèi)容包括情節(jié)的曲折性、寫法的詳略和表達(dá)的特點(diǎn)。3.生齊讀本段,然后處理相關(guān)練習(xí)。
(2)個(gè)性化的對(duì)話描寫。在三個(gè)事件的描述中,大段對(duì)話占了很大篇幅,有的情節(jié)干脆由對(duì)話來表達(dá),許多對(duì)話形象地表現(xiàn)了人物的思想和性格,使我們?nèi)缏勂渎?,如見其人。先說藺相如,他在秦廷上的慷慨陳詞,有時(shí)語氣平和,謙恭有禮,使對(duì)方放松警惕;有時(shí)直言斥責(zé),有理有據(jù),雄辯折人;有時(shí)堅(jiān)決表態(tài),分析利害,暗示對(duì)方;有時(shí)怒不可遏,咄咄逼人??傊?,詞鋒犀利,剛?cè)峒媸?,而又輕重恰當(dāng),充分表現(xiàn)了他是一個(gè)熱愛祖國、不畏強(qiáng)暴、有智有勇,長(zhǎng)于辭令的外交家。再說廉頗,在將相交歡事件中,他先前說的這一番話,表現(xiàn)了他的自高自大和心胸狹窄,非常符合武將廉頗的性格特點(diǎn),后來寫他知過改過,負(fù)荊請(qǐng)罪時(shí)說:“鄙賤之人,不知將軍寬之至此也!”語言不多,坦誠直率,可敬可愛。(解說:對(duì)話描寫的分析,宜以學(xué)生為主,教師必要時(shí)適當(dāng)點(diǎn)撥。)
【教學(xué)過程】導(dǎo)入:如果說唐詩是中國文學(xué)史中的一朵奇葩,那孟浩然則是點(diǎn)綴其上的一滴晶瑩露珠,其充滿魅力與特色的詩風(fēng)在盛唐獨(dú)樹一幟,也為其在人才濟(jì)濟(jì)的詩史上刻下了永恒的印記。同學(xué)們能否先回憶一下,我們學(xué)過的孟浩然的詩歌有哪些?(《春曉》、《宿建德江》、《望洞庭湖贈(zèng)張丞相》、《過故人莊》。)我們常說"中國古詩寫胸襟,是人格美的自然流露",那么孟詩在語言和思想情感上留給你怎樣的印象和感受?整體感知:本文作者聞一多先生也是一位詩人,所謂"英雄惜英雄",相同的志向與情趣使聞一多似乎帶著我們?cè)谂c孟浩然進(jìn)行了一場(chǎng)心靈的對(duì)話。那么同學(xué)們?cè)诳焖匍喿x文章之后,能否先找出作者是選擇了一個(gè)怎樣的角度對(duì)孟浩然評(píng)價(jià)的?(詩如其人,人如其詩。)
六、到此為止,我們了解到,作者對(duì)“笑”鯤鵬和別人的蜩與學(xué)鳩、斥鴳、宋榮子都一一作了否定。那么請(qǐng)大家討論一下,1、作者對(duì)鯤鵬和“知效一官,行比一鄉(xiāng),德合一君,而征一國者”是不是肯定呢?明確:也都作了否定。否定后者好理解,關(guān)鍵是否定前者不好理解,因?yàn)椤蚌H鵬展翅”早已作為積極的意象被人們廣泛引用。但在本文中,作者在講述這一寓言故事時(shí),突出的不是鯤鵬本身,而是風(fēng)力,“故九萬里,風(fēng)斯在下矣,而后乃今培風(fēng);背負(fù)青天,而莫之夭閼者,而后乃今將圖南”。對(duì)風(fēng)力作用的突出,實(shí)際上就是對(duì)鯤鵬的否定。作者寫了“笑”的雙方,對(duì)“笑”的一方蜩與學(xué)鳩、斥鴳、宋榮子都作了否定,對(duì)被“笑”的一方鯤鵬和“知效一官,行比一鄉(xiāng),德合一君,而征一國者”也都作了否定,并且對(duì)順便提及的野馬、塵埃、芥、大舟、朝菌、蟪蛄、冥靈、大椿、彭祖、列子等事物或者人物也都作了否定。這種全盤否定的態(tài)度,如果我們借用本文中的一個(gè)形象的詞語,可以說是:笑!是的,本文也可以說是:莊子“笑”萬物!
二、課堂教學(xué):1、學(xué)生簡(jiǎn)介背景:教師掌握:漢武帝開始對(duì)匈奴進(jìn)行長(zhǎng)期的討伐戰(zhàn)爭(zhēng),其中取得了三次具有決定意義的勝利,時(shí)間為公元前127年、前121年、前119年。匈奴的威勢(shì)大大削弱之后,表示愿意與漢講和,但雙方矛盾還是根深蒂固。所以,到公元前100年,蘇武出使匈奴時(shí),卻被扣留,并迫使他投降?!短K武傳》集中敘寫了蘇武出使匈奴被扣留期間的事跡,熱烈頌揚(yáng)了他在敵人面前富貴不能淫,貧賤不能移,威武不能屈,饑寒壓不倒,私情無所動(dòng)的浩然正氣,充分肯定了他堅(jiān)毅忠貞,大義凜然,視死如歸的民族氣節(jié)。2、作者介紹:班固(32——92年),字孟堅(jiān),扶風(fēng)安陵(今陜西咸陽市東)人。東漢著名的史學(xué)家?!逗鬂h書·班固傳》稱他“年九歲,能屬文,誦詩賦。及長(zhǎng),遂博貫載籍,九流百家之言,無不窮究。所學(xué)無常師,不為章句,舉大義而已”。其父班彪曾續(xù)司馬遷《史記》作《史記后傳》,未成而故。
(3)騙稅 騙稅是指納稅人用欺騙手段獲得國家稅收優(yōu)惠的行為。教師活動(dòng):請(qǐng)同學(xué)們看教材87頁“相關(guān)鏈接”,了解騙稅行為的特點(diǎn)和法律處罰規(guī)定。學(xué)生活動(dòng):認(rèn)真閱讀,積極思考。(4)抗稅 抗稅是指納稅人以暴力、威脅等手段,拒不繳納稅款的行為。教師活動(dòng):請(qǐng)同學(xué)們看教材87頁“相關(guān)鏈接”,了解騙稅行為的特點(diǎn)和法律處罰規(guī)定。學(xué)生活動(dòng):認(rèn)真閱讀,積極思考。3、公民要增強(qiáng)稅收監(jiān)督意識(shí)教師活動(dòng):請(qǐng)同學(xué)們看教材88頁“相關(guān)鏈接”,思考公民如何維護(hù)國家稅收工作?學(xué)生活動(dòng):認(rèn)真閱讀,積極思考。教師總結(jié):公民是國家稅收的最終負(fù)稅人,應(yīng)自覺增強(qiáng)稅收監(jiān)督意識(shí),以主人翁的態(tài)度積極監(jiān)督國家公職人員及公共權(quán)力的行為,關(guān)注稅收的征收和使用情況,對(duì)他們的違法行為進(jìn)行批評(píng)、檢舉,維護(hù)國家利益和自身利益。
【教材分析】The topic of this unit is about teenage life, which belongs to the theme context of “humans and oneself”.As teenagers who shoulder the responsibility of “Chinese great dream”, they must fully know themselves, including their strengths, weaknesses and challenges etc. They are supposed to improve themselves continuously and readily study their subjects, and thus foster their strategies and confidence in lifelong studies.This period is entitled the freshmen challenges, which mainly concerns some big challenges for new students in Senior high school. In this period, a teacher should lead students to find out what their challenges are and guide them to figure out how to crack the challenges and better themselves. More importantly, a teacher should instruct students to absorb new language points and appreciate the language. Besides, a teacher must instruct students to acquire some skills concerning reading efficiently and inspire them to talk more about their new school life, especially their new problems and solutions both at school and in life.【教學(xué)目標(biāo)與核心素養(yǎng)】1. Enable students to acquire the basic usage of the new words and expressions concerning the freshmen challenges and learn to use them flexibly.2. Enable students to have a good understanding of the freshmen challenges in the new senior high school which is quite different from junior middle school.3. Develop students’ sense of cooperative learning and individual thinking capability. 4. Develop students’ different learning skills to solve different reading comprehensive problems.
①標(biāo)題——標(biāo)題應(yīng)當(dāng)簡(jiǎn)潔明了。②導(dǎo)語——導(dǎo)語是消息開頭的第一段或第一句話,簡(jiǎn)明扼要地揭示出消息的核心內(nèi)容。③主體——主體是消息的主要部分,要用充足的事實(shí)表現(xiàn)主題,對(duì)導(dǎo)語的內(nèi)容作進(jìn)一步的展開和闡述。④結(jié)束語——通常是對(duì)全文內(nèi)容進(jìn)行概括性的總結(jié)。3. 新聞報(bào)道增分句子(1)陳述事實(shí)常用的句型:①A terrible storm hit/struck ... , killing ..②It was a cool autumn night when the earthquake happened. A large number of buildings fell down and roads were destroyed, leaving a great many people homeless.地震發(fā)生在一個(gè)涼爽的秋夜。大量的建筑物倒塌,道路被毀,許多人無家可歸。③With the help of the rescue team, people who were the trapped in the flood were saved.在救援隊(duì)的幫助下,困在洪水中的人們得救了。(2)陳述觀點(diǎn)常用的句型:①Clearly/Obviously/In my opinion/It seemed that people were shocked.顯然/在我看來/似乎人們震驚了。②The whole city was in ruins after the earthquake.地震后整個(gè)城市成了一片廢墟。(3)揭示原因常用的句型:Because of/As a result of/Thanks to the help of the army, people who got injured were sent to the hospital immediately.
【教材分析】高考聽力材料的選用非常重視語言真實(shí)性和交際性的原則,語言材料一般來源于實(shí)際生活,對(duì)話的內(nèi)容大都取材于日常生活,即衣、食、住、行、工作、學(xué)習(xí)、天氣、生活環(huán)境等話題,可分為校園、公共場(chǎng)所、家庭等方面,如: shopping, finding the way, doing one’s homework, seeing a doctor, making a phone call, weather report, asking for different kinds of information等。新教材的特點(diǎn)就是利用生活中真實(shí)文本,只是降低難度,讓學(xué)生注重語言的應(yīng)用,將是我們高考把握方向的重要因素?!窘虒W(xué)目標(biāo)與核心素養(yǎng)】學(xué)習(xí)能力目標(biāo):在聽力當(dāng)中,學(xué)生應(yīng)該有效規(guī)劃學(xué)習(xí)方法,選擇恰當(dāng)?shù)牟呗耘c方法。這節(jié)課的訓(xùn)練目標(biāo)是讓學(xué)生有正確的預(yù)測(cè)和抓住問題的關(guān)鍵信息,從而用心去聽來找尋關(guān)鍵信息。根據(jù)生活中實(shí)際情況和高考常見語境,我們不難發(fā)現(xiàn)提前預(yù)測(cè)和抓住題干中的w很重要,即what, where, when, why等等。
II Learn the technical terms-2.1. What can be used as “Subject, Object, Predicative, Direct Object, Indirect Object and objective complement” in a sentence?2. What can be used as “adverbial” in a sentence?3. What can be used as “verb” in a sentence?Answers to questions 1-3:1. Nouns, pronouns and appellations can be used as “Subject, Object, Predicative, Direct Object, Indirect Object and Objective Complement”. Besides, adjectives can be used as “Predicative and Objective Complement” in a sentence.2. Adverbs and prepositional phrases can be used as “Adverbial”.3. Verbs with actual meaning can be used as “Verb” in a sentence. Auxiliary verbs alone cannot be used as “Verb” in a sentence.III Learn to recognize the sentence structures.1. SV structure. For Example:(1) A bird flies.S V(2) A monkey jumps.S V(3) A fish swims.S V√ In SV structures, verbs are “intransitive verbs”.2. SVO structure. For Example:(1) A sheep eats grass.S V O(2) They like bananas.S V O(3) He wants candy.S V O√ In SVO structures, verbs are “transitive verbs”.3. SP structure. For Example:(1) This is great.S P (2) He looks well.S P (3) She became a teacher.S P √ In SP structures, Predicatives are formed by “l(fā)ink verbs” and “adjectives or nouns”.√ link verbs: be, become, grow, look, feel, taste, etc.4. SV IO DO structure. For Example:(1) He asked me a question.S V IO DO(2) Danny wrote me a letter.S V IO DO(3) Billy brought Sam a kite.S V IO DO√ In SV IO DO structures, the verbs are transitive and are followed by two objectives – pronouns or nouns as Indirect Objective, and nouns as Direct Objectives.
常跟雙賓語的動(dòng)詞有:(需借助to的)bring, ask, hand, offer, give, lend, send, show, teach, tell, write, pass, pay, promise, return等;基本句型 五S +V + O + OC(主+謂+賓+賓補(bǔ))特點(diǎn):動(dòng)詞雖然是及物動(dòng)詞,但是只跟一個(gè)賓語還不能表達(dá)完整的意思,必須加上一個(gè)補(bǔ)充成分來補(bǔ)足賓語,才能使意思完整。 判斷原則:能表達(dá)成—賓語 是…/做…注:此結(jié)構(gòu)由“主語+及物的謂語動(dòng)詞+賓語+賓語補(bǔ)足語”構(gòu)成。賓語與賓語補(bǔ)足語之間有邏輯上的主謂關(guān)系或主表關(guān)系,若無賓語補(bǔ)足語,則句意不夠完整??梢杂米鲑e補(bǔ)的有:名詞,形容詞,副詞,介詞短語,動(dòng)詞不定式,分詞等。如:He considers himself an expert on the subject.他認(rèn)為自己是這門學(xué)科的專家。We must keep our classroom clean.我們必須保持教室清潔。I had my bike stolen.我的自行車被偷了。We invited him to come to our school.我們邀請(qǐng)他來我們學(xué)校。I beg you to keep secret what we talked here.我求你對(duì)這里所談的話保密。用it做形式賓語,而將真正的賓語放到賓語補(bǔ)足語的后面,以使句子結(jié)構(gòu)平衡,是英語常用的句型結(jié)構(gòu)方式。即:主語+謂語+it+賓補(bǔ)+真正賓語。如:We think it a good idea to go climb the mountain this Sunday.
教學(xué)目標(biāo)知識(shí)目標(biāo):讓學(xué)生更好理解如何恰當(dāng)?shù)貙懸粋€(gè)人的信息介紹,并能讓學(xué)生熟練地使用一些寫作技能。能力目標(biāo):培養(yǎng)學(xué)生的寫作能力和團(tuán)隊(duì)協(xié)作能力。情感目標(biāo):提升學(xué)生對(duì)寫作的興趣。教學(xué)重難點(diǎn) 教學(xué)重點(diǎn):如何能讓學(xué)生更好地理解個(gè)人信息介紹。教學(xué)難點(diǎn):如何能讓學(xué)生通過適當(dāng)?shù)厥褂靡恍懽骷寄軄韺懸黄^好的個(gè)人信息介紹。教學(xué)準(zhǔn)備 多媒體、黑板、粉筆一、Pre-class1. Greetings2. Leading-inAsk students how to write a profile. What kinds of aspects should be included? The teacher asks students to discuss the topic with each other and put forward to much more ideas about the answer.二、While-class1. The teacher lets students to read the student profiles on Page 8 silently and then asks students to discuss the questions below.1. What is Ann like? How do you know?2. What are Thando’s hobbies?3. Where does Thando come from?4. What is Thando’s dream?5. What does “You will never see me without a book or a pen” mean?
知識(shí)和技能 ⑴從圖片和簡(jiǎn)易圖中,了解氣團(tuán)(冷氣團(tuán)、暖氣團(tuán))的概念;鋒的概念與分類;低壓(氣旋)、高壓(反氣旋)、高壓脊、低壓槽的概念。⑵從氣溫、氣壓、濕度、降水、風(fēng)等幾方面分析各種天氣系統(tǒng)的形成及其氣流特點(diǎn),并綜合出各種天氣系統(tǒng)控制下的天氣狀況過程與方法 ⑴讓學(xué)生能閱讀和簡(jiǎn)單分析天氣圖,解釋天氣變化現(xiàn)象;⑵用案例說明氣象災(zāi)害發(fā)生的原因和危害;⑶結(jié)合我國常見的天氣系統(tǒng)說明其對(duì)人們生產(chǎn)和生活的影響情感、態(tài)度與價(jià)值觀激發(fā)學(xué)生探究天氣的形成和變化的興趣和動(dòng)機(jī),培養(yǎng)學(xué)生求真、求實(shí)的科學(xué)態(tài)度,提高地理審美情趣教學(xué)重點(diǎn)1.鋒面系統(tǒng)。(鋒面系統(tǒng):一是要區(qū)別冷暖鋒的成因,二是要掌握鋒面兩側(cè)的氣壓、溫度、濕度、風(fēng)和天氣差異)2.低壓、高壓系統(tǒng)。(要掌握其成因、氣壓特征、氣流特征及其天氣特點(diǎn)四個(gè)方面。)
科學(xué)家預(yù)測(cè),就地區(qū)而言,位于低緯度的大部分國家,農(nóng)作物的產(chǎn)量將減少;而位于高緯度的國家,農(nóng)作物產(chǎn)量有可能增加。由于不少發(fā)展中國家位于低緯度地區(qū),因此,氣候變化的這種區(qū)域差異性,可能會(huì)使發(fā)展中國家所面臨的問題更為嚴(yán)峻。板書:3全球變暖將加劇水資源的不穩(wěn)定性與供需矛盾。介紹:全球變暖會(huì)影響整個(gè)水循環(huán)過程,可能使蒸發(fā)加大,改變區(qū)域降水量和降水分布格局,增加降水極端異常事件的發(fā)生,導(dǎo)致洪澇、干旱災(zāi)害的頻次和強(qiáng)度增加,以及地表徑流發(fā)生變化。隨著徑流減少,蒸發(fā)增強(qiáng),全球變暖將加劇水資源的不穩(wěn)定性與供需矛盾。轉(zhuǎn)折:既然全球變暖會(huì)引起很多不利影響,那么作為人類應(yīng)如何面對(duì)這一挑戰(zhàn)呢?這就是我們要討論的第三個(gè)問題。板書:三、氣候變化的適應(yīng)對(duì)策討論:請(qǐng)大家閱讀結(jié)合教材P53氣候變化的適應(yīng)對(duì)策部分討論人類應(yīng)如何面對(duì)全球變暖這一問題 呢?
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4.4.2節(jié)《對(duì)數(shù)函數(shù)的圖像和性質(zhì)》 是高中數(shù)學(xué)在指數(shù)函數(shù)之后的重要初等函數(shù)之一。對(duì)數(shù)函數(shù)與指數(shù)函數(shù)聯(lián)系密切,無論是研究的思想方法方法還是圖像及性質(zhì),都有其共通之處。相較于指數(shù)函數(shù),對(duì)數(shù)函數(shù)的圖象亦有其獨(dú)特的美感。在類比推理的過程中,感受圖像的變化,認(rèn)識(shí)變化的規(guī)律,這是提高學(xué)生直觀想象能力的一個(gè)重要的過程。為之后學(xué)習(xí)數(shù)學(xué)提供了更多角度的分析方法。培養(yǎng)和發(fā)展學(xué)生邏輯推理、數(shù)學(xué)直觀、數(shù)學(xué)抽象、和數(shù)學(xué)建模的核心素養(yǎng)。1、掌握對(duì)數(shù)函數(shù)的圖像和性質(zhì);能利用對(duì)數(shù)函數(shù)的圖像與性質(zhì)來解決簡(jiǎn)單問題;2、經(jīng)過探究對(duì)數(shù)函數(shù)的圖像和性質(zhì),對(duì)數(shù)函數(shù)與指數(shù)函數(shù)圖像之間的聯(lián)系,對(duì)數(shù)函數(shù)內(nèi)部的的聯(lián)系。培養(yǎng)學(xué)生觀察問題、分析問題和歸納問題的思維能力以及數(shù)學(xué)交流能力;滲透類比等基本數(shù)學(xué)思想方法。
新知講授(一)——古典概型 對(duì)隨機(jī)事件發(fā)生可能性大小的度量(數(shù)值)稱為事件的概率。我們將具有以上兩個(gè)特征的試驗(yàn)稱為古典概型試驗(yàn),其數(shù)學(xué)模型稱為古典概率模型,簡(jiǎn)稱古典概型。即具有以下兩個(gè)特征:1、有限性:樣本空間的樣本點(diǎn)只有有限個(gè);2、等可能性:每個(gè)樣本點(diǎn)發(fā)生的可能性相等。思考一:下面的隨機(jī)試驗(yàn)是不是古典概型?(1)一個(gè)班級(jí)中有18名男生、22名女生。采用抽簽的方式,從中隨機(jī)選擇一名學(xué)生,事件A=“抽到男生”(2)拋擲一枚質(zhì)地均勻的硬幣3次,事件B=“恰好一次正面朝上”(1)班級(jí)中共有40名學(xué)生,從中選擇一名學(xué)生,即樣本點(diǎn)是有限個(gè);因?yàn)槭请S機(jī)選取的,所以選到每個(gè)學(xué)生的可能性都相等,因此這是一個(gè)古典概型。