(2) students are divided into groups according to the requirements of activity 3. Each student shares a story of personal experience or hearing-witnessing kindness, and then selects the most touching story in the group and shares it with the whole class. Before the students share the story, the teacher can instruct them to use the words and sentence patterns in the box to express. For example, the words in the box can be classified:Time order: first of all, then, after that, later, finally logical relationship :so, however, although, butTeachers can also appropriately add some transitional language to enrich students' expression:Afterwards, afterwards, at last, in the end, eventuallySpatial order: next to, far from, on the left, in front ofOtherwise, nevertheless, as a result, therefore, furthermore, in addition, as well asSummary: in a word, in short, on the whole, to sum up, in briefStep 8 Homework1. Understand the definition of "moral dilemma" and establish a correct moral view;2. Accumulate vocabulary about attitudes and emotions in listening texts and use them to express your own views;3. Complete relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否理解理解“道德困境”的定義;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否通過說話人所表達的內(nèi)容、說話的語氣、語調(diào)等來判斷其態(tài)度和情緒;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否針對具體的道德困境發(fā)表自己的看法和見解,能否掌握聽力理訓(xùn)練中的聽力策略。
1. We'll need ten months at least to have the restaurant decorated.2.Some traditional Chinese dishes from before the Ming Dynasty are still popular today.3.My grandpa's breakfast mainly includes whole grain biscuits and a glass of milk.4.People in this area would eat nearly a kilo of cheese per week.5. We enjoyed a special dinner in a fancy restaurant where the waiters all wore attractive suits.6. He prefers this brand of coffee which, as he said, has an unusually good flavor.Key:1. at a minimum 2. prior to3. consist of4. consume5. elegant6. exceptionalStep 5:Familiarize yourself with some food idioms by matching the meaning on the right with the colored words on the left.1.Public concern for the health of farm animals has mushroomed in the UK2.Anderson may be young but he's certainly rolling to doing dough!3.George is a popular lecturer. He often peppers his speech with jokes.4.As the person to bring home the bacon, he needs to find a stable job.5 He is often regarded as a ham actor for his over emphasized facial expressions. The media reported that these companies had treated pollution as a hot potato. 6.The media reported that these companies had treated pollution as a hot potato.7.Don't worry about the test tomorrow. It's going to be a piece of cake!8. It's best to fold the swimming ring when it is as flat as a pancake.A. completely flatB. something that is very easy to do C.an issue that is hard to deal withD.to include large numbers of somethingE.to earn on e's living to support a familyF. wealthyG.to rapidly increase in numberH. an actor who performs badly, especially by over emphasizing emotions
The theme of this part is to write an article about healthy diet. Through reading and writing activities, students can accumulate knowledge about healthy diet, deepen their understanding of the theme of healthy diet, and reflect on their own eating habits. This text describes the basic principles of healthy diet. The author uses data analysis, definition, comparison, examples and other methods. It also provides a demonstration of the use of conjunctions, which provides important information reference for students to complete the next collaborative task, writing skills, vivid language materials and expressions.1. Teach Ss to learn and skillfully use the new words learned from the text.2. Develop students’ ability to understand, extract and summarize information.3. Guide students to understand the theme of healthy diet and reflect on their own eating habits.4. To guide students to analyze and understand the reading discourse from the aspects of theme content, writing structure, language expression, etc., 5. Enable Ss to write in combination with relevant topics and opinions, and to talk about their eating habits.1. Guide students to analyze and understand the reading discourse from the aspects of theme content, writing structure, language expression, etc.2. Enable them to write in combination with relevant topics and opinions, and to talk about their eating habits.3. Guide the students to use the cohesive words correctly, strengthen the textual cohesion, and make the expression fluent and the thinking clear.Step1: Warming upbrainstorm some healthy eating habits.1.Eat slowly.2.Don’t eat too much fat or sugar.3.Eat healthy food.4.Have a balanced diet.Step2: Read the passage and then sum up the main idea of each paragraph.
1. How is Hunan cuisine somewhat different from Sichuan cuisine?The heat in Sichuan cuisine comes from chilies and Sichuan peppercorns. Human cuisine is often hotter and the heat comes from just chilies.2.What are the reasons why Hunan people like spicy food?Because they are a bold people. But many Chinese people think that hot food helps them overcome the effects of rainy or wet weather.3.Why do so many people love steamed fish head covered with chilies?People love it because the meat is quite tender and there are very few small bones.4.Why does Tingting recommend bridge tofu instead of dry pot duck with golden buns?Because bridge tofu has a lighter taste.5 .Why is red braised pork the most famous dish?Because Chairman Mao was from Hunan, and this was his favorite food.Step 5: Instruct students to make a short presentation to the class about your choice. Use the example and useful phrases below to help them.? In groups of three, discuss what types of restaurant you would like to take a foreign visitor to, and why. Then take turns role-playing taking your foreign guest to the restaurant you have chosen. One of you should act as the foreign guest, one as the Chinese host, and one as the waiter or waitress. You may start like this:? EXAMPLE? A: I really love spicy food, so what dish would you recommend?? B: I suggest Mapo tofu.? A: Really ? what's that?
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,進而對道德和人性有更加深入的思考和理解。
(一)例題引入籃球聯(lián)賽中,每場比賽都要分出勝負,每隊勝1場得2分,負1場得1分。某隊在10場比賽中得到16分,那么這個隊勝負場數(shù)分別是多少?方法一:(利用之前的知識,學(xué)生自己列出并求解)解:設(shè)剩X場,則負(10-X)場。方程:2X+(10-X)=16方法二:(老師帶領(lǐng)學(xué)生一起列出方程組)解:設(shè)勝X場,負Y場。根據(jù):勝的場數(shù)+負的場數(shù)=總場數(shù) 勝場積分+負場積分=總積分得到:X+Y=10 2X+Y=16
《小蝌蚪找媽媽》是統(tǒng)編版二年級上冊第一單元的一篇寓水的知識于趣味故事中的科學(xué)童話。課文采用擬人手法,以第一人稱“我”的敘述方式,生動形象地介紹了自然界中水的變化及其利與害。課文用詞準(zhǔn)確、語言優(yōu)美、想象豐富,把知識性、科學(xué)性融于趣味性之中,文中多處運用短長句的方式寫出了語言的節(jié)奏感,擬人化的詞句增強了畫面感,充滿情趣。比如“有時候……有時候……”“落”“打”“飄”體現(xiàn)了用詞準(zhǔn)確、嚴(yán)謹(jǐn)?shù)奶攸c。教學(xué)時以學(xué)生為主體,讓每個人有嘗試的機會和自主選擇的權(quán)利。力求采用自主、合作的學(xué)習(xí)方式探究問題,解決問題,使學(xué)生在生生互動、師生互動中,相互啟發(fā),拓展思路,分享學(xué)習(xí)之樂。讓學(xué)生在開放而有活力的課堂氛圍中始終處于積極主動的學(xué)習(xí)狀態(tài),變“被動地學(xué)”為“主動地學(xué)”。 ·教學(xué)目標(biāo)· 1.認識“曬、極”等15個生字,會寫“變、極”等10個生字,讀準(zhǔn)多音字“沒”。掌握“天空、傍晚”等詞語。2.能正確、流利、有感情地朗讀課文,簡單說說水的變化過程。3.了解氣候常識,知道汽、云、雨、冰雹和雪都是水的不同形態(tài)。知道水的利與害。4.通過學(xué)習(xí),讓學(xué)生知道只有合理地利用水資源才能造福人類的道理,樹立環(huán)保意識,激發(fā)學(xué)生探究科學(xué)的興趣。 ·教學(xué)重難點· 1.教學(xué)重點:能正確、流利地朗讀課文。簡單說出水的變化過程,體會“落、打、飄”用詞的準(zhǔn)確,并能仿照說句子。2.教學(xué)難點:了解氣候常識,知道汽、云、雨、冰雹和雪都是水的不同形態(tài)。知道水的利與害。
《小蝌蚪找媽媽》是統(tǒng)編版二年級上冊第一單元的一篇富有童趣的課文。課文以淺顯的文字生動地描寫了小蝌蚪找媽媽的故事,同時向?qū)W生敘述了小蝌蚪是怎樣變成青蛙的。從教材編排看,課文中人物角色較多,語言生動趣味性強,是進行朗讀訓(xùn)練的典型教材:從教材結(jié)構(gòu)看,課文二三四自然段段落相仿,也是進行學(xué)法指導(dǎo)的最佳范例。課文中的動詞用得巧,增強了表達效果。課文3幅插圖,分別畫的是第二至五自然段的內(nèi)容,不僅生動地展現(xiàn)出小蝌蚪找媽媽的過程,而且有序地呈現(xiàn)出蝌蚪的變化過程:長出后腿--長出前腿--尾巴不見了。插圖畫面色彩鮮艷,形象活潑生動,極具吸引力和感染力。 1.認識“塘、腦”等14個生字,讀準(zhǔn)多音字“教”,會寫“兩、哪”10個生字。2.正確、流利、有感情地分角色朗讀課文。3.結(jié)合課文內(nèi)容,借助課文圖片,按順序說清楚小蝌蚪成長的變化過程,感受小蝌蚪遇事主動探索的精神,增強閱讀科學(xué)童話的興趣。4.知道青蛙是捕捉害蟲的能手,是莊稼的好朋友,樹立保護青蛙的意識。 1.教學(xué)重點:能分角色朗讀課文,借助圖片、表示時間變化的句子、表示動作的詞語,了解課文內(nèi)容。2.教學(xué)難點:能按順序說清楚小蝌蚪成長的變化過程,感受小蝌蚪遇事主動探索的精神,增強閱讀科學(xué)童話的興趣。 2課時
《樹之歌》是統(tǒng)編版二年級上冊第二單元的一篇識字課文。介紹樹木特征的歸類識字歌,描寫了楊樹、榕樹、梧桐樹……等11種樹木,表現(xiàn)了大自然樹木種類的豐富。課文安排了一組“木”字旁歸類識字。把樹木的名稱集中在一首詩歌中,讓學(xué)生在感受美麗景色、感受美好生活的同時,認識事物,認識表示樹木的漢字,感知不同樹木的名稱。教學(xué)的過程中可引導(dǎo)學(xué)生在誦讀文本的同時,體現(xiàn)多樣的識字形式,要將識字教學(xué)與閱讀文本有機融合, 在反復(fù)的讀書體會中,引導(dǎo)學(xué)生發(fā)現(xiàn)漢字規(guī)律,運用形聲字形旁表義、聲旁表音的特點歸類識字,并鼓勵學(xué)生運用已經(jīng)掌握的方法自主識字。 1.認識“梧、桐”等15個生字,會寫“楊、壯”等10個生字。學(xué)會運用形聲字的特點自主識字。2.正確、流利地朗讀兒歌,并背誦全文。3.通過看圖和讀兒歌,初步了解11種樹木的基本特點。積累與樹木有關(guān)的語句。4.引導(dǎo)學(xué)生學(xué)會觀察身邊的事物,樹立愛護花草樹木的意識。 1.教學(xué)重點:學(xué)會本課生字,利用形聲字特點掌握木字旁的8個生字。朗讀課文,背誦課文。了解不同樹木的特點。2.教學(xué)難點:能按掌握形聲字的構(gòu)字特點,了解11種樹木的基本特點。積累與樹木有關(guān)的語句。能背誦課文。 2課時
《場景歌》是統(tǒng)編版二年級上冊第二單元的一篇識字課文。這是一組數(shù)量詞歸類識字。把數(shù)量詞分類集中在四幅不同的圖畫之中,讓學(xué)生在感受美麗景色、感受美好生活的同時,認識事物,認識表示事物的漢字,初步感知不同事物數(shù)量詞的表達方式。全文共五節(jié)。第一節(jié)是一幅大海風(fēng)景圖。第二節(jié)是一幅山村田園風(fēng)光圖。第三節(jié)是一幅公園景色圖。第四幅是少先隊員活動的場面。教師要充分調(diào)動學(xué)生的積極性,采用各種各樣的方法,讓學(xué)生自己認字,朗讀。在教學(xué)的過程中,通過結(jié)合圖片和上下文,欣賞美麗景色,感受美好生活,同時認識事物,初步感知不同事物數(shù)量詞的表達方式。 1.認識“帆、艘”等10個生字,會寫“處、園”等10個生字。2.正確朗讀課文。初步感受場景展示的美麗景色,了解不同事物數(shù)量詞的不同的表達。3.選擇照片或圖畫,仿照課文,學(xué)習(xí)用數(shù)量詞表達生活中的事物。4.培養(yǎng)學(xué)生留心觀察周圍事物的習(xí)慣,培養(yǎng)學(xué)生的觀察能力和想象能力。 1.教學(xué)重點:會認、會寫課文相關(guān)生字。正確朗讀課文。背誦課文。初步感受場景展示的美麗景色,了解不同事物量詞的不同表達。2.教學(xué)難點:培養(yǎng)學(xué)生留心觀察周圍事物的習(xí)慣,培養(yǎng)學(xué)生的觀察能力和想象能力。學(xué)習(xí)用數(shù)量詞表達生活中的事物。 2課時
9.例二:如圖,AB∩α=B,A?α, ?a.直線AB與a具有怎樣的位置關(guān)系?為什么?解:直線AB與a是異面直線。理由如下:若直線AB與a不是異面直線,則它們相交或平行,設(shè)它們確定的平面為β,則B∈β, 由于經(jīng)過點B與直線a有且僅有一個平面α,因此平面平面α與β重合,從而 , 進而A∈α,這與A?α矛盾。所以直線AB與a是異面直線。補充說明:例二告訴我們一種判斷異面直線的方法:與一個平面相交的直線和這個平面內(nèi)不經(jīng)過交點的直線是異面直線。10. 例3 已知a,b,c是三條直線,如果a與b是異面直線,b與c是異面直線,那么a與c有怎樣的位置關(guān)系?并畫圖說明.解: 直線a與直線c的位置關(guān)系可以是平行、相交、異面.如圖(1)(2)(3).總結(jié):判定兩條直線是異面直線的方法(1)定義法:由定義判斷兩條直線不可能在同一平面內(nèi).
3課題類型造型表現(xiàn)4教學(xué)目標(biāo)1、認識三原色,讓學(xué)生初步了解三原色的知識。2、觀察兩個原色調(diào)和之后產(chǎn)生的色彩變化,說出由兩原色調(diào)出的第三個顏色(間色)3、能夠調(diào)出預(yù)想的色彩,并用它們涂抹成一幅繪畫作品。5重點難點1、引導(dǎo)學(xué)生觀察三原色在相互流動中的色彩變化。2、引導(dǎo)學(xué)生進行色彩的調(diào)和、搭配。3、培養(yǎng)學(xué)生愛色彩、善于動手、善于觀察、善于動腦的能力。
3.下結(jié)論.依據(jù)均值和方差做出結(jié)論.跟蹤訓(xùn)練2. A、B兩個投資項目的利潤率分別為隨機變量X1和X2,根據(jù)市場分析, X1和X2的分布列分別為X1 2% 8% 12% X2 5% 10%P 0.2 0.5 0.3 P 0.8 0.2求:(1)在A、B兩個項目上各投資100萬元, Y1和Y2分別表示投資項目A和B所獲得的利潤,求方差D(Y1)和D(Y2);(2)根據(jù)得到的結(jié)論,對于投資者有什么建議? 解:(1)題目可知,投資項目A和B所獲得的利潤Y1和Y2的分布列為:Y1 2 8 12 Y2 5 10P 0.2 0.5 0.3 P 0.8 0.2所以 ;; 解:(2) 由(1)可知 ,說明投資A項目比投資B項目期望收益要高;同時 ,說明投資A項目比投資B項目的實際收益相對于期望收益的平均波動要更大.因此,對于追求穩(wěn)定的投資者,投資B項目更合適;而對于更看重利潤并且愿意為了高利潤承擔(dān)風(fēng)險的投資者,投資A項目更合適.
對于離散型隨機變量,可以由它的概率分布列確定與該隨機變量相關(guān)事件的概率。但在實際問題中,有時我們更感興趣的是隨機變量的某些數(shù)字特征。例如,要了解某班同學(xué)在一次數(shù)學(xué)測驗中的總體水平,很重要的是看平均分;要了解某班同學(xué)數(shù)學(xué)成績是否“兩極分化”則需要考察這個班數(shù)學(xué)成績的方差。我們還常常希望直接通過數(shù)字來反映隨機變量的某個方面的特征,最常用的有期望與方差.二、 探究新知探究1.甲乙兩名射箭運動員射中目標(biāo)靶的環(huán)數(shù)的分布列如下表所示:如何比較他們射箭水平的高低呢?環(huán)數(shù)X 7 8 9 10甲射中的概率 0.1 0.2 0.3 0.4乙射中的概率 0.15 0.25 0.4 0.2類似兩組數(shù)據(jù)的比較,首先比較擊中的平均環(huán)數(shù),如果平均環(huán)數(shù)相等,再看穩(wěn)定性.假設(shè)甲射箭n次,射中7環(huán)、8環(huán)、9環(huán)和10環(huán)的頻率分別為:甲n次射箭射中的平均環(huán)數(shù)當(dāng)n足夠大時,頻率穩(wěn)定于概率,所以x穩(wěn)定于7×0.1+8×0.2+9×0.3+10×0.4=9.即甲射中平均環(huán)數(shù)的穩(wěn)定值(理論平均值)為9,這個平均值的大小可以反映甲運動員的射箭水平.同理,乙射中環(huán)數(shù)的平均值為7×0.15+8×0.25+9×0.4+10×0.2=8.65.
1.對稱性與首末兩端“等距離”的兩個二項式系數(shù)相等,即C_n^m=C_n^(n"-" m).2.增減性與最大值 當(dāng)k(n+1)/2時,C_n^k隨k的增加而減小.當(dāng)n是偶數(shù)時,中間的一項C_n^(n/2)取得最大值;當(dāng)n是奇數(shù)時,中間的兩項C_n^((n"-" 1)/2) 與C_n^((n+1)/2)相等,且同時取得最大值.探究2.已知(1+x)^n =C_n^0+C_n^1 x+...〖+C〗_n^k x^k+...+C_n^n x^n 3.各二項式系數(shù)的和C_n^0+C_n^1+C_n^2+…+C_n^n=2n.令x=1 得(1+1)^n=C_n^0+C_n^1 +...+C_n^n=2^n所以,(a+b)^n 的展開式的各二項式系數(shù)之和為2^n1. 在(a+b)8的展開式中,二項式系數(shù)最大的項為 ,在(a+b)9的展開式中,二項式系數(shù)最大的項為 . 解析:因為(a+b)8的展開式中有9項,所以中間一項的二項式系數(shù)最大,該項為C_8^4a4b4=70a4b4.因為(a+b)9的展開式中有10項,所以中間兩項的二項式系數(shù)最大,這兩項分別為C_9^4a5b4=126a5b4,C_9^5a4b5=126a4b5.答案:1.70a4b4 126a5b4與126a4b5 2. A=C_n^0+C_n^2+C_n^4+…與B=C_n^1+C_n^3+C_n^5+…的大小關(guān)系是( )A.A>B B.A=B C.A<B D.不確定 解析:∵(1+1)n=C_n^0+C_n^1+C_n^2+…+C_n^n=2n,(1-1)n=C_n^0-C_n^1+C_n^2-…+(-1)nC_n^n=0,∴C_n^0+C_n^2+C_n^4+…=C_n^1+C_n^3+C_n^5+…=2n-1,即A=B.答案:B
1.直觀圖:表示空間幾何圖形的平面圖形,叫做空間圖形的直觀圖直觀圖往往與立體圖形的真實形狀不完全相同,直觀圖通常是在平行投影下得到的平面圖形2.給出直觀圖的畫法斜二側(cè)畫法觀察:矩形窗戶在陽光照射下留在地面上的影子是什么形狀?眺望遠處成塊的農(nóng)田,矩形的農(nóng)田在我們眼里又是什么形狀呢?3. 給出斜二測具體步驟(1)在已知圖形中取互相垂直的X軸Y軸,兩軸相交于O,畫直觀圖時,把他們畫成對應(yīng)的X'軸與Y'軸,兩軸交于O'。且使∠X'O'Y'=45°(或135°)。他們確定的平面表示水平面。(2)已知圖形中平行于X軸或y軸的線段,在直觀圖中分別畫成平行于X'軸或y'軸的線段。(3)已知圖形中平行于X軸的線段,在直觀圖中保持原長度不變,平行于Y軸的線段,在直觀圖中長度為原來一半。4.對斜二測方法進行舉例:對于平面多邊形,我們常用斜二測畫法畫出他們的直觀圖。如圖 A'B'C'D'就是利用斜二測畫出的水平放置的正方形ABCD的直觀圖。其中橫向線段A'B'=AB,C'D'=CD;縱向線段A'D'=1/2AD,B'C'=1/2BC;∠D'A'B'=45°,這與我們的直觀觀察是一致的。5.例一:用斜二測畫法畫水平放置的六邊形的直觀圖(1)在六邊形ABCDEF中,取AD所在直線為X軸,對稱軸MN所在直線為Y軸,兩軸交于O',使∠X'oy'=45°(2)以o'為中心,在X'上取A'D'=AD,在y'軸上取M'N'=½MN。以點N為中心,畫B'C'平行于X'軸,并且等于BC;再以M'為中心,畫E'F'平行于X‘軸并且等于EF。 (3)連接A'B',C'D',E'F',F'A',并擦去輔助線x軸y軸,便獲得正六邊形ABCDEF水平放置的直觀圖A'B'C'D'E'F' 6. 平面圖形的斜二測畫法(1)建兩個坐標(biāo)系,注意斜坐標(biāo)系夾角為45°或135°;(2)與坐標(biāo)軸平行或重合的線段保持平行或重合;(3)水平線段等長,豎直線段減半;(4)整理.簡言之:“橫不變,豎減半,平行、重合不改變?!?/p>
1、學(xué)歷層次大幅度提高。規(guī)劃之初,全鎮(zhèn)小學(xué)173名教職工中,初中學(xué)歷12人,占xx%;中師學(xué)歷122人,占xx%;大專學(xué)歷39人,占xx%;本科學(xué)歷為xx。至20**年底,xx名教職工中初中學(xué)歷7人,占xx%;中師學(xué)歷40人,占xx%,分別下降了xx和xx個百分點;大專以上學(xué)歷121人,占xx%,提高了xx個百分點;其中專科學(xué)歷108人,占xx%;本科學(xué)歷13人,占xx%。實現(xiàn)了規(guī)劃中提出的到20**年大專學(xué)歷達到60%以上、大本學(xué)歷5%以上的目標(biāo)。2、干部配備結(jié)構(gòu)比較合理。學(xué)校干部隊伍和支委班子經(jīng)過調(diào)整后各結(jié)構(gòu)的基本狀況,除初級職稱的比例偏大以外,其它各結(jié)構(gòu)均比較合理,尤其是和調(diào)整前比較,在知識化、年輕化和專業(yè)化方面均有了實質(zhì)性變化,為圓滿實現(xiàn)后一個五年發(fā)展規(guī)劃奠定了堅實的組織保證。
對數(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)上通過實例總結(jié)歸納對數(shù)的概念,通過對數(shù)的性質(zhì)和恒等式解決一些與對數(shù)有關(guān)的問題.課程目標(biāo)1、理解對數(shù)的概念以及對數(shù)的基本性質(zhì);2、掌握對數(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:對數(shù)的概念;2.邏輯推理:推導(dǎo)對數(shù)性質(zhì);3.數(shù)學(xué)運算:用對數(shù)的基本性質(zhì)與對數(shù)恒等式求值;4.數(shù)學(xué)建模:通過與指數(shù)式的比較,引出對數(shù)定義與性質(zhì).重點:對數(shù)式與指數(shù)式的互化以及對數(shù)性質(zhì);難點:推導(dǎo)對數(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,主要從三個實例出發(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:通過教材中四個實例總結(jié)函數(shù)定義;2.邏輯推理:相等函數(shù)的判斷;3.數(shù)學(xué)運算:求函數(shù)定義域和求函數(shù)值;4.數(shù)據(jù)分析:運用分離常數(shù)法和換元法求值域;5.數(shù)學(xué)建模:通過從實際問題中抽象概括出函數(shù)概念的活動,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:函數(shù)的概念,函數(shù)的三要素。難點:函數(shù)概念及符號y=f(x)的理解。
本節(jié)課是新版教材人教A版普通高中課程標(biāo)準(zhǔn)實驗教科書數(shù)學(xué)必修1第四章第4.3.2節(jié)《對數(shù)的運算》。其核心是弄清楚對數(shù)的定義,掌握對數(shù)的運算性質(zhì),理解它的關(guān)鍵就是通過實例使學(xué)生認識對數(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,通過實例推導(dǎo)對數(shù)的運算性質(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;通過實例推導(dǎo)對數(shù)的運算性質(zhì),讓學(xué)生準(zhǔn)確地運用對數(shù)運算性質(zhì)進行運算,學(xué)會運用換底公式。培養(yǎng)學(xué)生數(shù)學(xué)運算、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)恒等式并能運用于有關(guān)對數(shù)計算。
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