
②其他貨幣與美元掛鉤:即各會員國貨幣對美元的匯率按各自貨幣的含金量與美元確定固定比價。各國貨幣與美元的匯率可按各國貨幣含金量與美元含金量之比來確定,這稱為法定匯率。例如,1946年一英鎊的含金量為3.58134克,一美元的含金量為0.888671克,則英鎊和美元的含金量之比1英鎊=4.03美元就是法定匯率。這一規(guī)定,使美元等同于黃金,美元從此有了“美金”的說法;與美元比起來,其他國家的貨幣處于從屬地位,確立了美元在國際貨幣體系中的中心地位、主導(dǎo)地位正如當(dāng)時美國財政部長福勒所說:“各個行星圍繞著太陽轉(zhuǎn),各國貨幣圍繞著美元轉(zhuǎn)。”小結(jié): “布雷頓森林體系”是一個以美元為中心的世界貨幣體系,美國通過布雷頓森林體系,掌握了資本主義世界的經(jīng)濟命脈。(2)影響:①為世界貨幣關(guān)系提供了統(tǒng)一的標(biāo)準(zhǔn)和基礎(chǔ),有利于維持戰(zhàn)后世界貨幣體系的正常運轉(zhuǎn),為世界經(jīng)濟的恢復(fù)和發(fā)展創(chuàng)造了條件。

●活動與探究從葡萄牙、西班牙、荷蘭的興衰歷程,從英國的強盛歷程,我們從中可獲得什么啟示?啟示:積極發(fā)展本國的工商業(yè);實現(xiàn)制度創(chuàng)新;抓住機遇,及時更新觀念;建立能保障自身經(jīng)濟順利發(fā)展的國防力量,尤其是海軍力量;積極發(fā)展海外貿(mào)易,實行對外開放……★本課小結(jié)16世紀(jì)后期荷蘭積極向海外殖民擴張,在17世紀(jì)建立了世界范圍內(nèi)的殖民帝國;17世紀(jì)開始,英國也積極向海外殖民擴張,并與荷蘭、法國進(jìn)行了激烈的爭奪,到18世紀(jì)中期,英國成為世界上最大的殖民國家,最終確立了世界殖民霸權(quán);新航路開辟后,伴隨著殖民擴張,人類的商業(yè)活動開始在全球范圍內(nèi)開展,人類的經(jīng)濟活動由于世界市場的出現(xiàn)而第一次被廣泛地聯(lián)系在一起,而西歐國家對殖民地財富、資源、勞動力的暴力掠奪,是歐洲發(fā)展和興旺的重要條件,也是亞、非、拉美災(zāi)難的根源。

戰(zhàn)國陰陽五行家鄒衍認(rèn)為,歷史中的朝代更替是由于五德運行產(chǎn)生的影響。按照鄒衍的學(xué)說,每個朝代必須與五德之一相連,因此,這個朝代就應(yīng)當(dāng)遵循這五德之一的要求來運轉(zhuǎn)。董仲舒修改了這個理論,認(rèn)為朝代的更替不是依循五德運行的順序,而是依循“三統(tǒng)”,即黑統(tǒng)、白統(tǒng)、赤統(tǒng)的順序。他在《三代改制質(zhì)文》中說:每個朝代都依循一統(tǒng),每統(tǒng)又各有其為政的系統(tǒng)。按董仲舒的說法,夏朝代表黑統(tǒng),商朝代表白統(tǒng);周朝則是赤統(tǒng)。夏、商、周三朝完成了這一歷史循環(huán)。之后,歷史又開始一次新的循環(huán),新的朝代又應(yīng)當(dāng)代表黑統(tǒng)。繼承周朝統(tǒng)治的既不是秦朝,也不是漢朝,而是孔子,他承受天命,創(chuàng)立了黑統(tǒng)。孔子所受天命,不是一種“法統(tǒng)”,而是一種“道統(tǒng)”。董仲舒說:“《春秋》大一統(tǒng)者,天地之常經(jīng),古今之通誼也。今師異道,人異論,百家殊方,指意不同,是以上亡以持一統(tǒng);法制數(shù)變,下不知所守。臣愚以為諸不在六藝之科孔子之術(shù)者,皆絕其道,勿使并進(jìn)。邪辟之說滅息,然后統(tǒng)紀(jì)可一而法度可明,民知所從矣?!?/p>

設(shè)問:你怎么看待這個問題的?(這是達(dá)爾文沒有想到的,是有人利用了達(dá)爾文的學(xué)說,科學(xué)應(yīng)該與其區(qū)分開來,但是科學(xué)家在研究時,既要做到為追求真理不斷探索,又要有一定的人文精神,比如我們只有以人為本,才能找到解決當(dāng)今社會面臨的諸如環(huán)保、戰(zhàn)爭、饑荒等問題的途徑,才能構(gòu)建防止核物理技術(shù)、克隆技術(shù)、信息技術(shù)、生物技術(shù)、太空技術(shù)等可能對人類造成不可逆轉(zhuǎn)的破壞作用的思想基礎(chǔ)、決策機制和社會條件。更重要的是社會和國家應(yīng)該對此有足夠的認(rèn)識,正因為此,所以現(xiàn)在當(dāng)一項科學(xué)發(fā)明出臺后,就會有一些法律出臺,限制其可能的非人道用途。但是這些影響應(yīng)不成為我們進(jìn)行科學(xué)探究的阻礙。)(3)科學(xué)與宗教的斗爭設(shè)計意圖:再次引導(dǎo)學(xué)生認(rèn)識,科學(xué)的探索永無止境,同時也再次認(rèn)識宗教和科學(xué)理論產(chǎn)生的原因。材料1:1972年,美國加利福尼亞教育部竟明文規(guī)定,中學(xué)生物學(xué)課本除進(jìn)化論外,必須還有神創(chuàng)論的內(nèi)容,而且兩者的頁數(shù)要各占一半。

【教學(xué)目標(biāo)與核心素養(yǎng)】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.【教學(xué)重難點】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.【教學(xué)過程】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. 表示時間。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. 表示結(jié)果。His father died, leaving him a lot of money. =. . . and left him a lot of money4. 表示條件。Going straight down the road, you will find the department store. = If you go straight down the road. . . 5. 表示讓步。Being tired, they went on working. =Although they were tired. . . 6. 表示行為方式、伴隨情況或補充說明。He lay on the grass, staring at the sky for a long time. =. . . and stared at the sky for a long time注意:非謂語動詞作狀語時, 如所提供的動詞不能和句子中的主語保持一致, 動詞-ing形式必須有自己的邏輯主語, 通常由名詞或代詞來擔(dān)任, 這就是獨立主格結(jié)構(gòu)。The last bus having gone, we had to walk home. (having gone的邏輯主語是the last bus, 而不是we)Weather permitting, the football match will be played on Friday. (permitting的邏輯主語是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. 這個寓言是一個關(guān)于一位國王古寓言。 The fable is an old fable about a king.2.作者用這個故事讓讀者對于社區(qū)的問題負(fù)有個人責(zé)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. 這個故事十分成功的實現(xiàn)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.

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4.4.2節(jié)《對數(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),對數(shù)函數(shù)的圖象亦有其獨特的美感。在類比推理的過程中,感受圖像的變化,認(rèn)識變化的規(guī)律,這是提高學(xué)生直觀想象能力的一個重要的過程。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、掌握對數(shù)函數(shù)的圖像和性質(zhì);能利用對數(shù)函數(shù)的圖像與性質(zhì)來解決簡單問題;2、經(jīng)過探究對數(shù)函數(shù)的圖像和性質(zhì),對數(shù)函數(shù)與指數(shù)函數(shù)圖像之間的聯(lián)系,對數(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。

【例3】本例中“p是q的充分不必要條件”改為“p是q的必要不充分條件”,其他條件不變,試求m的取值范圍.【答案】見解析【解析】由x2-8x-20≤0得-2≤x≤10,由x2-2x+1-m2≤0(m>0)得1-m≤x≤1+m(m>0)因為p是q的必要不充分條件,所以q?p,且p?/q.則{x|1-m≤x≤1+m,m>0}?{x|-2≤x≤10}所以m>01-m≥-21+m≤10,解得0<m≤3.即m的取值范圍是(0,3].解題技巧:(利用充分、必要、充分必要條件的關(guān)系求參數(shù)范圍)(1)化簡p、q兩命題,(2)根據(jù)p與q的關(guān)系(充分、必要、充要條件)轉(zhuǎn)化為集合間的關(guān)系,(3)利用集合間的關(guān)系建立不等關(guān)系,(4)求解參數(shù)范圍.跟蹤訓(xùn)練三3.已知P={x|a-4<x<a+4},Q={x|1<x<3},“x∈P”是“x∈Q”的必要條件,求實數(shù)a的取值范圍.【答案】見解析【解析】因為“x∈P”是x∈Q的必要條件,所以Q?P.所以a-4≤1a+4≥3解得-1≤a≤5即a的取值范圍是[-1,5].五、課堂小結(jié)讓學(xué)生總結(jié)本節(jié)課所學(xué)主要知識及解題技巧

本節(jié)課是在學(xué)習(xí)了三角函數(shù)圖象和性質(zhì)的前提下來學(xué)習(xí)三角函數(shù)模型的簡單應(yīng)用,進(jìn)一步突出函數(shù)來源于生活應(yīng)用于生活的思想,讓學(xué)生體驗一些具有周期性變化規(guī)律的實際問題的數(shù)學(xué)“建?!彼枷?從而培養(yǎng)學(xué)生的創(chuàng)新精神和實踐能力.課程目標(biāo)1.了解三角函數(shù)是描述周期變化現(xiàn)象的重要函數(shù)模型,并會用三角函數(shù)模型解決一些簡單的實際問題.2.實際問題抽象為三角函數(shù)模型. 數(shù)學(xué)學(xué)科素養(yǎng)1.邏輯抽象:實際問題抽象為三角函數(shù)模型問題;2.數(shù)據(jù)分析:分析、整理、利用信息,從實際問題中抽取基本的數(shù)學(xué)關(guān)系來建立數(shù)學(xué)模型; 3.數(shù)學(xué)運算:實際問題求解; 4.數(shù)學(xué)建模:體驗一些具有周期性變化規(guī)律的實際問題的數(shù)學(xué)建模思想,提高學(xué)生的建模、分析問題、數(shù)形結(jié)合、抽象概括等能力.

本節(jié)通過一些函數(shù)模型的實例,讓學(xué)生感受建立函數(shù)模型的過程和方法,體會函數(shù)在數(shù)學(xué)和其他學(xué)科中的廣泛應(yīng)用,進(jìn)一步認(rèn)識到函數(shù)是描述客觀世界變化規(guī)律的基本數(shù)學(xué)模型,能初步運用函數(shù)思想解決一些生活中的簡單問題。課程目標(biāo)1.能利用已知函數(shù)模型求解實際問題.2.能自建確定性函數(shù)模型解決實際問題.數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:建立函數(shù)模型,把實際應(yīng)用問題轉(zhuǎn)化為數(shù)學(xué)問題;2.邏輯推理:通過數(shù)據(jù)分析,確定合適的函數(shù)模型;3.數(shù)學(xué)運算:解答數(shù)學(xué)問題,求得結(jié)果;4.數(shù)據(jù)分析:把數(shù)學(xué)結(jié)果轉(zhuǎn)譯成具體問題的結(jié)論,做出解答;5.數(shù)學(xué)建模:借助函數(shù)模型,利用函數(shù)的思想解決現(xiàn)實生活中的實際問題.重點:利用函數(shù)模型解決實際問題;難點:數(shù)模型的構(gòu)造與對數(shù)據(jù)的處理.

本節(jié)課在已學(xué)冪函數(shù)、指數(shù)函數(shù)、對數(shù)函數(shù)的增長方式存在很大差異.事實上,這種差異正是不同類型現(xiàn)實問題具有不同增長規(guī)律的反應(yīng).而本節(jié)課重在研究不同函數(shù)增長的差異.課程目標(biāo)1.掌握常見增長函數(shù)的定義、圖象、性質(zhì),并體會其增長的快慢.2.理解直線上升、對數(shù)增長、指數(shù)爆炸的含義以及三種函數(shù)模型的性質(zhì)的比較,培養(yǎng)數(shù)學(xué)建模和數(shù)學(xué)運算等核心素養(yǎng).數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:常見增長函數(shù)的定義、圖象、性質(zhì);2.邏輯推理:三種函數(shù)的增長速度比較;3.數(shù)學(xué)運算:由函數(shù)圖像求函數(shù)解析式;4.數(shù)據(jù)分析:由圖象判斷指數(shù)函數(shù)、對數(shù)函數(shù)和冪函數(shù);5.數(shù)學(xué)建模:通過由抽象到具體,由具體到一般的數(shù)形結(jié)合思想總結(jié)函數(shù)性質(zhì).重點:比較函數(shù)值得大??;難點:幾種增長函數(shù)模型的應(yīng)用.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。

對數(shù)函數(shù)與指數(shù)函數(shù)是相通的,本節(jié)在已經(jīng)學(xué)習(xí)指數(shù)函數(shù)的基礎(chǔ)上通過實例總結(jié)歸納對數(shù)函數(shù)的概念,通過函數(shù)的形式與特征解決一些與對數(shù)函數(shù)有關(guān)的問題.課程目標(biāo)1、通過實際問題了解對數(shù)函數(shù)的實際背景;2、掌握對數(shù)函數(shù)的概念,并會判斷一些函數(shù)是否是對數(shù)函數(shù). 數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:對數(shù)函數(shù)的概念;2.邏輯推理:用待定系數(shù)法求函數(shù)解析式及解析值;3.數(shù)學(xué)運算:利用對數(shù)函數(shù)的概念求參數(shù);4.數(shù)學(xué)建模:通過由抽象到具體,由具體到一般的思想總結(jié)對數(shù)函數(shù)概念.重點:理解對數(shù)函數(shù)的概念和意義;難點:理解對數(shù)函數(shù)的概念.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)入我們已經(jīng)研究了死亡生物體內(nèi)碳14的含量y隨死亡時間x的變化而衰減的規(guī)律.反過來,已知死亡生物體內(nèi)碳14的含量,如何得知死亡了多長時間呢?進(jìn)一步地,死亡時間t是碳14的含量y的函數(shù)嗎?

課本從引進(jìn)函數(shù)概念開始就比較注重函數(shù)的不同表示方法:解析法,圖象法,列表法.函數(shù)的不同表示方法能豐富對函數(shù)的認(rèn)識,幫助理解抽象的函數(shù)概念.特別是在信息技術(shù)環(huán)境下,可以使函數(shù)在形與數(shù)兩方面的結(jié)合得到更充分的表現(xiàn),使學(xué)生通過函數(shù)的學(xué)習(xí)更好地體會數(shù)形結(jié)合這種重要的數(shù)學(xué)思想方法.因此,在研究函數(shù)時,要充分發(fā)揮圖象的直觀作用.在研究圖象時,又要注意代數(shù)刻畫以求思考和表述的精確性.課本將映射作為函數(shù)的一種推廣,這與傳統(tǒng)的處理方式有了邏輯順序上的變化.這樣處理,主要是想較好地銜接初中的學(xué)習(xí),讓學(xué)生將更多的精力集中理解函數(shù)的概念,同時,也體現(xiàn)了從特殊到一般的思維過程.課程目標(biāo)1、明確函數(shù)的三種表示方法;2、在實際情境中,會根據(jù)不同的需要選擇恰當(dāng)?shù)姆椒ū硎竞瘮?shù);3、通過具體實例,了解簡單的分段函數(shù),并能簡單應(yīng)用.

本章通過學(xué)習(xí)用二分法求方程近似解的的方法,使學(xué)生體會函數(shù)與方程之間的關(guān)系,通過一些函數(shù)模型的實例,讓學(xué)生感受建立函數(shù)模型的過程和方法,體會函數(shù)在數(shù)學(xué)和其他學(xué)科中的廣泛應(yīng)用,進(jìn)一步認(rèn)識到函數(shù)是描述客觀世界變化規(guī)律的基本數(shù)學(xué)模型,能初步運用函數(shù)思想解決一些生活中的簡單問題。1.了解函數(shù)的零點、方程的根與圖象交點三者之間的聯(lián)系.2.會借助零點存在性定理判斷函數(shù)的零點所在的大致區(qū)間.3.能借助函數(shù)單調(diào)性及圖象判斷零點個數(shù).?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:函數(shù)零點的概念;2.邏輯推理:借助圖像判斷零點個數(shù);3.數(shù)學(xué)運算:求函數(shù)零點或零點所在區(qū)間;4.數(shù)學(xué)建模:通過由抽象到具體,由具體到一般的思想總結(jié)函數(shù)零點概念.重點:零點的概念,及零點與方程根的聯(lián)系;難點:零點的概念的形成.

集合的基本運算是人教版普通高中課程標(biāo)準(zhǔn)實驗教科書,數(shù)學(xué)必修1第一章第三節(jié)的內(nèi)容. 在此之前,學(xué)生已學(xué)習(xí)了集合的含義以及集合與集合之間的基本關(guān)系,這為學(xué)習(xí)本節(jié)內(nèi)容打下了基礎(chǔ). 本節(jié)內(nèi)容是函數(shù)、方程、不等式的基礎(chǔ),在教材中起著承上啟下的作用. 本節(jié)內(nèi)容是高中數(shù)學(xué)的主要內(nèi)容,也是高考的對象,在實踐中應(yīng)用廣泛,是高中學(xué)生必須掌握的重點.課程目標(biāo)1. 理解兩個集合的并集與交集的含義,能求兩個集合的并集與交集;2. 理解全集和補集的含義,能求給定集合的補集; 3. 能使用Venn圖表達(dá)集合的基本關(guān)系與基本運算.數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:并集、交集、全集、補集含義的理解;2.邏輯推理:并集、交集及補集的性質(zhì)的推導(dǎo);3.數(shù)學(xué)運算:求 兩個集合的并集、交集及補集,已知并集、交集及補集的性質(zhì)求參數(shù)(參數(shù)的范圍);4.數(shù)據(jù)分析:通過并集、交集及補集的性質(zhì)列不等式組,此過程中重點關(guān)注端點是否含“=”及?問題;

第一節(jié)通過研究集合中元素的特點研究了元素與集合之間的關(guān)系及集合的表示方法,而本節(jié)重點通過研究元素得到兩個集合之間的關(guān)系,尤其學(xué)生學(xué)完兩個集合之間的關(guān)系后,一定讓學(xué)生明確元素與集合、集合與集合之間的區(qū)別。課程目標(biāo)1. 了解集合之間包含與相等的含義,能識別給定集合的子集.2. 理解子集.真子集的概念. 3. 能使用 圖表達(dá)集合間的關(guān)系,體會直觀圖示對理解抽象概念的作用。數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:子集和空集含義的理解;2.邏輯推理:子集、真子集、空集之間的聯(lián)系與區(qū)別;3.數(shù)學(xué)運算:由集合間的關(guān)系求參數(shù)的范圍,常見包含一元二次方程及其不等式和不等式組;4.數(shù)據(jù)分析:通過集合關(guān)系列不等式組, 此過程中重點關(guān)注端點是否含“=”及 問題;5.數(shù)學(xué)建模:用集合思想對實際生活中的對象進(jìn)行判斷與歸類。

它位于三角函數(shù)與數(shù)學(xué)變換的結(jié)合點上,能較好反應(yīng)三角函數(shù)及變換之間的內(nèi)在聯(lián)系和相互轉(zhuǎn)換,本節(jié)課內(nèi)容的地位體現(xiàn)在它的基礎(chǔ)性上。作用體現(xiàn)在它的工具性上。前面學(xué)生已經(jīng)掌握了兩角和與差的正弦、余弦、正切公式以及二倍角公式,并能通過這些公式進(jìn)行求值、化簡、證明,雖然學(xué)生已經(jīng)具備了一定的推理、運算能力,但在數(shù)學(xué)的應(yīng)用意識與應(yīng)用能力方面尚需進(jìn)一步培養(yǎng).課程目標(biāo)1.能用二倍角公式推導(dǎo)出半角公式,體會三角恒等變換的基本思想方法,以及進(jìn)行簡單的應(yīng)用. 2.了解三角恒等變換的特點、變換技巧,掌握三角恒等變換的基本思想方法. 3.能利用三角恒等變換的技巧進(jìn)行三角函數(shù)式的化簡、求值以及證明,進(jìn)而進(jìn)行簡單的應(yīng)用. 數(shù)學(xué)學(xué)科素養(yǎng)1.邏輯推理: 三角恒等式的證明; 2.數(shù)據(jù)分析:三角函數(shù)式的化簡; 3.數(shù)學(xué)運算:三角函數(shù)式的求值.
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