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人教版高中數(shù)學(xué)選修3正態(tài)分布教學(xué)設(shè)計(jì)
3.某縣農(nóng)民月均收入服從N(500,202)的正態(tài)分布,則此縣農(nóng)民月均收入在500元到520元間人數(shù)的百分比約為 . 解析:因?yàn)樵率杖敕恼龖B(tài)分布N(500,202),所以μ=500,σ=20,μ-σ=480,μ+σ=520.所以月均收入在[480,520]范圍內(nèi)的概率為0.683.由圖像的對(duì)稱性可知,此縣農(nóng)民月均收入在500到520元間人數(shù)的百分比約為34.15%.答案:34.15%4.某種零件的尺寸ξ(單位:cm)服從正態(tài)分布N(3,12),則不屬于區(qū)間[1,5]這個(gè)尺寸范圍的零件數(shù)約占總數(shù)的 . 解析:零件尺寸屬于區(qū)間[μ-2σ,μ+2σ],即零件尺寸在[1,5]內(nèi)取值的概率約為95.4%,故零件尺寸不屬于區(qū)間[1,5]內(nèi)的概率為1-95.4%=4.6%.答案:4.6%5. 設(shè)在一次數(shù)學(xué)考試中,某班學(xué)生的分?jǐn)?shù)X~N(110,202),且知試卷滿分150分,這個(gè)班的學(xué)生共54人,求這個(gè)班在這次數(shù)學(xué)考試中及格(即90分及90分以上)的人數(shù)和130分以上的人數(shù).解:μ=110,σ=20,P(X≥90)=P(X-110≥-20)=P(X-μ≥-σ),∵P(X-μσ)≈2P(X-μ130)=P(X-110>20)=P(X-μ>σ),∴P(X-μσ)≈0.683+2P(X-μ>σ)=1,∴P(X-μ>σ)=0.158 5,即P(X>130)=0.158 5.∴54×0.158 5≈9(人),即130分以上的人數(shù)約為9人.
人教版高中數(shù)學(xué)選修3組合與組合數(shù)教學(xué)設(shè)計(jì)
解析:因?yàn)闇p法和除法運(yùn)算中交換兩個(gè)數(shù)的位置對(duì)計(jì)算結(jié)果有影響,所以屬于組合的有2個(gè).答案:B2.若A_n^2=3C_(n"-" 1)^2,則n的值為( )A.4 B.5 C.6 D.7 解析:因?yàn)锳_n^2=3C_(n"-" 1)^2,所以n(n-1)=(3"(" n"-" 1")(" n"-" 2")" )/2,解得n=6.故選C.答案:C 3.若集合A={a1,a2,a3,a4,a5},則集合A的子集中含有4個(gè)元素的子集共有 個(gè). 解析:滿足要求的子集中含有4個(gè)元素,由集合中元素的無序性,知其子集個(gè)數(shù)為C_5^4=5.答案:54.平面內(nèi)有12個(gè)點(diǎn),其中有4個(gè)點(diǎn)共線,此外再無任何3點(diǎn)共線,以這些點(diǎn)為頂點(diǎn),可得多少個(gè)不同的三角形?解:(方法一)我們把從共線的4個(gè)點(diǎn)中取點(diǎn)的多少作為分類的標(biāo)準(zhǔn):第1類,共線的4個(gè)點(diǎn)中有2個(gè)點(diǎn)作為三角形的頂點(diǎn),共有C_4^2·C_8^1=48(個(gè))不同的三角形;第2類,共線的4個(gè)點(diǎn)中有1個(gè)點(diǎn)作為三角形的頂點(diǎn),共有C_4^1·C_8^2=112(個(gè))不同的三角形;第3類,共線的4個(gè)點(diǎn)中沒有點(diǎn)作為三角形的頂點(diǎn),共有C_8^3=56(個(gè))不同的三角形.由分類加法計(jì)數(shù)原理,不同的三角形共有48+112+56=216(個(gè)).(方法二 間接法)C_12^3-C_4^3=220-4=216(個(gè)).
新人教版高中英語必修1Unit 1 Teenage Life-Reading and Thinking教案
【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.
新人教版高中英語必修1Unit 2 Travelling Around-Reading and Thinking教案
Good expressions that students can choose to use: help the travelers choose which tour to take1. In my opinion, you could/might choose…, because you prefer to…2. …could be a perfect choice for you, for…3. As far as I am concerned, you would enjoy…, for…4. …would probably suit you, because you enjoy/love/hate doing…Step 5 Passage ConsolidationLanguage appreciation:1. You can then spend three days exploring the rainforest with a local guide and enjoying the plants and animals unique to the rainforest. 在接下來的三天里，您可以在當(dāng)?shù)貙?dǎo)游的陪同下，深入雨林進(jìn)行探索，欣賞雨林特有的動(dòng)植物。本句主體結(jié)構(gòu)為spend some time doing sth. 2. Inca builders cut stones to exact sizes so that nothing was needed to hold walls together other than the perfect fit of the stones. 印加的建筑工人將石頭切割成精確的尺寸，僅僅憑著石頭間的完美契合，即可穩(wěn)固墻體。本句為so that引導(dǎo)的結(jié)果狀語從句。nothing與the perfect fit為并列成分; other than在句中意為“除了”。Step 6 HomeworkSuppose you will travel to Peru, write a short essay about your three-day tour plan.
新人教版高中英語必修1Unit 4 Natural Disasters-Reading & Thinking教案
5. Read to get detailed information about Paragraph 5.Q1. What shows the revival of Tangshan?Q2. How can Tangshan revive itself and get up on its feet again?Q3. In times of disasters, how can we go through it?T: In times of disasters, we should unify, show the wisdom and stay positive.Step 4 Activity 4 Highlighting the theme and reflecting1. Make a summary of the text.2. Further understand the titleQ: After our learning, why do you think the earth didn’t sleep on that night?T: An earthquake happened. The people in the earthquake suffered a lot, and the people outside Tangshan were concerned about the people there a lot.3. Reflect through discussion on what can be learnt after reading.T: Disasters are powerful. Unpreparedness can be deadly. Life is weak, but if people work together to help each other, disasters can be defeated.There is no love from disaster, but we have love in the human heart.Step 5 Assignment How does the writer convey that the earthquake was deadly, and that people were helpless during the earthquake? Try to find some attractive and impressive expressions and note them down.
新人教版高中英語必修1Welcome Unit-Reading and Thinking教案
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.
新人教版高中英語必修2Unit 1 Cultural Heritage-Reading and Thinking教案二
1. This section focuses on "Understanding how a problem was solved”, which is aimed to guide students to analyze and discuss the challenges and problems faced by cultural heritage protection during the construction of Aswan Dam, as well as the solutions. On the basis of understanding, students should pay attention to the key role of international cooperation in solving problems, and attach importance to the balance and coordination between cultural heritage protection and social and economic development. Students are encouraged to face challenges actively, be good at cooperation, and make continuous efforts to find reasonable ways and means to solve problems.2. Enable students to understand the main information and text structure of the reading text;3. Motivate students to use the reading strategy "make a timeline" according to the appropriate text genre;4. Enable students to understand how a problem was solved;5. Enable students to understand the value of protecting cultural heritage by teamwork and global community;1. Guide students to pay attention to reading strategies, such as prediction, self-questioning and scanning.2. Help students sort out the topic language about protecting cultural relics and understand the narrative characteristics of "time-event" in illustrative style3. Lead students to understand the value of protecting cultural heritage by teamwork and global community;
新人教版高中英語必修2Unit 2 Wildlife Protection-Reading and Thinking教案二
The theme of this unit is human and nature, focusing on the theme of wildlife protection. Nature is a complex ecosystem, in which there are delicate balance between animals and plants. Because of the role of the food chain, the extinction of one species will produce influence, causing a series of chain reaction. Large scale extinction of species will have a serious and even irreversible impact on the ecosystem, resulting in immeasurable losses. Therefore, it is of great significance to protect wild species. To protect wild species is to protect human beings themselves. The motto of this unit is "when the buying stops, the killing can too,” which is a public service advertising slogan to protect wildlife. It tells people that every rhinoceros horn, every fur, every bowl of shark fin soup, every Ivory product, and every tiger bone product, etc. consumed by human beings, are innocent wild animals slaughtered behind them. The mission of wild aid is to ban illegal trade in endangered wildlife and mitigate climate change. It aims to educate the public to reduce the consumption demand for endangered wildlife products through public publicity and improve the awareness of environmental protection.1. Improve the awareness of wildlife protection by acquiring the knowledge of wildlife protection.2. Focus on environmental protection and protection of all lives.3. Analysis of the living environment of wild animals with appropriate thinking mode.4. Skillfully use the vocabulary and grammar knowledge of this unit to cultivate self-study ability according to the unit content5. Develop cooperative learning ability through discussion and other ways1. Enable the Ss to talk about the current situation of wild animals.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.
新人教版高中英語必修2Unit 4 History and Traditions-Reading and Thinking教案二
Step 5 While reading---Task 3Read the text again and answer the following questions.Q1: How many countries does the UK consist of ?4 Q2: What are the four countries of the United Kingdom?England, Wales, Scotland and Northern Ireland Q3: Which two were the first to be joined together ?England and WalesQ4: What are the two chief advantages of studying the history of a country ?The first one is to help you understand more about the country and its traditions.The second one is to make visiting it more enjoyable.Q5: What’s the author’s attitude towards studying the history ?Supportive/positiveStep 6 Post reading---Retell the textThe United Kingdom, Great Britain, Britain, England—many people are confused by (1)_____ these different names mean. In the 16th century, the nearby country of Wales (2) __________(join) to the Kingdom of England. In the 19 th century, the Kingdom of Ireland was added to create the United Kingdom of Great Britain and Ireland. Finally, the southern part of Ireland (3) ______ (break) away from the UK, which resulted in the full name we have today. However, most people just use the (4)_________(shorten) name: the UK. The four countries (5)__________ belong to the United Kingdom work together in some areas. There were four sets of invaders and the last group were the Normans. They had castles (6)_________(build) all around England and made changes (7)__________ the legal system. Studying the history of the country will make your visit much more (8)_________(enjoy). The capital city London is (9)___ ancient port city that has a history (10)______(date) back to Roman times. 1. what 2.was joined 3.broke 4.shortened 5.that 6. built 7.to 8.enjoyable 9.an 10.dating Step 6 Homework
人教A版高中數(shù)學(xué)必修一冪函數(shù)教學(xué)設(shè)計(jì)（2）
冪函數(shù)是在繼一次函數(shù)、反比例函數(shù)、二次函數(shù)之后，又學(xué)習(xí)了單調(diào)性、最值、奇偶性的基礎(chǔ)上，借助實(shí)例，總結(jié)出冪函數(shù)的概念，再借助圖像研究?jī)绾瘮?shù)的性質(zhì).課程目標(biāo)1、理解冪函數(shù)的概念，會(huì)畫冪函數(shù)y=x，y=x2，y=x3，y=x－1，y=x 的圖象；2、結(jié)合這幾個(gè)冪函數(shù)的圖象，理解冪函數(shù)圖象的變化情況和性質(zhì)；3、通過觀察、總結(jié)冪函數(shù)的性質(zhì)，培養(yǎng)學(xué)生概括抽象和識(shí)圖能力．?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：用數(shù)學(xué)語言表示函數(shù)冪函數(shù)；2.邏輯推理：常見冪函數(shù)的性質(zhì)；3.數(shù)學(xué)運(yùn)算：利用冪函數(shù)的概念求參數(shù)；4.數(shù)據(jù)分析：比較冪函數(shù)大??；5.數(shù)學(xué)建模：在具體問題情境中，運(yùn)用數(shù)形結(jié)合思想，利用冪函數(shù)性質(zhì)、圖像特點(diǎn)解決實(shí)際問題。重點(diǎn)：常見冪函數(shù)的概念、圖象和性質(zhì)；難點(diǎn)：冪函數(shù)的單調(diào)性及比較兩個(gè)冪值的大?。?/p>
高中教師個(gè)人教學(xué)工作計(jì)劃5篇
二、學(xué)情分析 在校領(lǐng)導(dǎo)的正確領(lǐng)導(dǎo)下，本學(xué)期我校生源比去年有了重大的變化.高一年級(jí)招收了400多名新生，學(xué)校帶來了新的希望.然而，我清醒地認(rèn)識(shí)到任重而道遠(yuǎn)的現(xiàn)實(shí)是，我校實(shí)驗(yàn)班分?jǐn)?shù)線僅為140分，普通班入學(xué)成績(jī)?nèi)跃痈浇髦袑W(xué)之末.要實(shí)現(xiàn)我校教學(xué)質(zhì)量的根本性進(jìn)步，非一朝一夕之功.實(shí)驗(yàn)班的教學(xué)當(dāng)然是重中之重，而普通班又絕不能一棄了之.現(xiàn)在的學(xué)情與現(xiàn)實(shí)決定了并不是付出十分努力就一定有十分收獲.但教師的責(zé)任與職業(yè)道德時(shí)刻提醒我，沒有付出一定是沒有收獲的.作為新時(shí)代的教師，只有付出百倍的努力，苦干加巧干，才能對(duì)得起良心，對(duì)得起人民群眾的期望.
人教版高中數(shù)學(xué)選修3一元線性回歸模型及其應(yīng)用教學(xué)設(shè)計(jì)
1.確定研究對(duì)象，明確哪個(gè)是解釋變量，哪個(gè)是響應(yīng)變量；2.由經(jīng)驗(yàn)確定非線性經(jīng)驗(yàn)回歸方程的模型；3.通過變換，將非線性經(jīng)驗(yàn)回歸模型轉(zhuǎn)化為線性經(jīng)驗(yàn)回歸模型；4.按照公式計(jì)算經(jīng)驗(yàn)回歸方程中的參數(shù)，得到經(jīng)驗(yàn)回歸方程；5.消去新元，得到非線性經(jīng)驗(yàn)回歸方程；6.得出結(jié)果后分析殘差圖是否有異常 ．跟蹤訓(xùn)練1.一只藥用昆蟲的產(chǎn)卵數(shù)y與一定范圍內(nèi)的溫度x有關(guān)，現(xiàn)收集了6組觀測(cè)數(shù)據(jù)列于表中： 經(jīng)計(jì)算得： 線性回歸殘差的平方和: ∑_(i=1)^6?〖(y_i-(y_i ) ?)〗^2=236,64,e^8.0605≈3167.其中 分別為觀測(cè)數(shù)據(jù)中的溫度和產(chǎn)卵數(shù)，i=1,2,3,4,5,6.(1)若用線性回歸模型擬合，求y關(guān)于x的回歸方程 (精確到0.1）；(2)若用非線性回歸模型擬合，求得y關(guān)于x回歸方程為 且相關(guān)指數(shù)R2＝0.9522． ①試與(1)中的線性回歸模型相比較，用R2說明哪種模型的擬合效果更好 ?②用擬合效果好的模型預(yù)測(cè)溫度為35℃時(shí)該種藥用昆蟲的產(chǎn)卵數(shù).(結(jié)果取整數(shù)).
人教A版高中數(shù)學(xué)必修二有限樣本空間與隨機(jī)事件事件的關(guān)系和運(yùn)算教學(xué)設(shè)計(jì)
新知講授（一）——隨機(jī)試驗(yàn) 我們把對(duì)隨機(jī)現(xiàn)象的實(shí)現(xiàn)和對(duì)它的觀察稱為隨機(jī)試驗(yàn)，簡(jiǎn)稱試驗(yàn)，常用字母E表示。我們通常研究以下特點(diǎn)的隨機(jī)試驗(yàn)：（1）試驗(yàn)可以在相同條件下重復(fù)進(jìn)行；（2）試驗(yàn)的所有可能結(jié)果是明確可知的，并且不止一個(gè)；（3）每次試驗(yàn)總是恰好出現(xiàn)這些可能結(jié)果中的一個(gè)，但事先不確定出現(xiàn)哪個(gè)結(jié)果。新知講授（二）——樣本空間思考一：體育彩票搖獎(jiǎng)時(shí)，將10個(gè)質(zhì)地和大小完全相同、分別標(biāo)號(hào)0，1，2，...，9的球放入搖獎(jiǎng)器中，經(jīng)過充分?jǐn)嚢韬髶u出一個(gè)球，觀察這個(gè)球的號(hào)碼。這個(gè)隨機(jī)試驗(yàn)共有多少個(gè)可能結(jié)果？如何表示這些結(jié)果？根據(jù)球的號(hào)碼，共有10種可能結(jié)果。如果用m表示“搖出的球的號(hào)碼為m”這一結(jié)果，那么所有可能結(jié)果可用集合表示{0，1，2，3，4，5，6，7，8，9}.我們把隨機(jī)試驗(yàn)E的每個(gè)可能的基本結(jié)果稱為樣本點(diǎn)，全體樣本點(diǎn)的集合稱為試驗(yàn)E的樣本空間。
新人教版高中英語必修2Unit 5 Music-Discovering Useful Structures教案一
Step1:自主探究。1．(教材P52)Born(bear) in the USA on 2 January 1970, Whitacre began studying music at the University of Nevada in 1988．2．(教材P52) Moved(move) by this music, he said, “It was like seeing color for the first time．”3．(教材P56)I was very afraid and I felt so alone and discouraged(discourage)．4．(教材P58)Encouraged(encourage) by this first performance and the positive reaction of the audience, I have continued to play the piano and enjoy it more every day．Step2:語法要點(diǎn)精析。用法1：過去分詞作表語1）．過去分詞可放在連系動(dòng)詞be, get, feel, remain, seem, look, become等之后作表語，表示主語所處的狀態(tài)Tom was astonished to see a snake moving across the floor．湯姆很驚訝地看到一條蛇正爬過地板。Finally the baby felt tired of playing with those toys．終于嬰兒厭倦了玩那些玩具。注意：1）.過去分詞作表語時(shí)與被動(dòng)語態(tài)的區(qū)別過去分詞作表語時(shí)，強(qiáng)調(diào)主語所處的狀態(tài)；而動(dòng)詞的被動(dòng)語態(tài)表示主語是動(dòng)作的承受者，強(qiáng)調(diào)動(dòng)作。The library is now closed．(狀態(tài))圖書館現(xiàn)在關(guān)閉了。The cup was broken by my little sister yesterday．(動(dòng)作)昨天我妹妹把杯子打碎了。2）感覺類及物動(dòng)詞的現(xiàn)在分詞與過去分詞作表語的區(qū)別過去分詞作表語多表示人自身的感受或事物自身的狀態(tài)，常譯作“感到……的”；現(xiàn)在分詞多表示事物具有的特性，常譯作“令人……的”。
新人教版高中英語必修2Unit 5 Music-Reading For Writing教案一
(4)Now we have heard a number of outstanding speeches ... 我們已經(jīng)聆聽了許多精彩的發(fā)言……(5)Because we wanted the nations of the world, working together, to deal with ... 因?yàn)槲覀兿Ｍ澜绺鲊鴪F(tuán)結(jié)起來去應(yīng)對(duì)……(6)And if we do not act ... 如果我們不采取行動(dòng)……(7)Now, I share the concerns that have been expressed ... 我也同意對(duì)于……表達(dá)的擔(dān)心(8)Let us show the world that by working together we can ... 讓我們告訴全世界，通過一起努力我們可以……(9)It is now time for us to ... 是時(shí)候我們……(10)And I have always wished that ... 我一直希望……(11)Thank you for letting me share this day with me.感謝你們和我共度這一天。實(shí)踐演練：假如你是高中生李華，你校將舉辦一次以“音樂”為主題的演講比賽，請(qǐng)你按照主題，寫下你的演講稿。注意：詞數(shù)100左右。First of all, thank you for listening to my speech. My topic is: love music like love yourself.Music is like the air we need to maintain our normal lives around us. You can't imagine how terrible a world without music would be. Movies and TV shows have no music, only dry conversations and scenes; mobile phones only vibrations; streets only noisy crowds; cafes, western restaurants only depressed meals. What a terrible world it is!As a student, I hope we all can enjoy the fun brought by music in our spare time. Instead of just listening to music, we can even make our own music. Let's enjoy the fun of music!Thanks again for your attention!
人教版高中英語必修4A taste of English Humor說課稿3篇
Then I would ask them to think of a funny English or Chinese and tell it to partners. While telling stories, they can use expressions and some acting to help make the story funny. 5 minutes would be given to do this.Those stories they told there will be the material for their writing. Soletting them tell it at first is helpful. And they can make a difference between telling a funny story and writing it down. Generally speaking, it is difficult forstudents to write well because they don’t know what to write and how to write. Asking them to tell their own stories at first can help them come up with what to write.After their telling, I would invite someone to share his/her story with all of us and I would write it down on the blackboard.This example story would be used as a sample to illustrate the format of funny story. Different from a story from teacher or textbook, a story from students can obviously become a interesting material to draw students’ attention.Then I would ask the whole class to put this story into several parts. It might be a little bit difficult for them. So I would ask them to find out whether all the sentences are necessary. After delete some sentences, there are 6 sentences left behind. Then they can easily put them into three parts. After interaction with students, I would teach them the right terms for each part and conclude the format of funny story.This step is the key and difficult point in my lesson. So I mainly usetask-based teaching method in this part and the task for students was divided into several stages. With the separated difficult level, students can find there are usually three parts in writing. They can also learn to write without the unnecessary parts in the process of analyzing. And then I wouldn’t rush to tell them the right terms to them directly. Instead, I would ask them to name them by their own. A confused mind is better for acquiring knowledge.While-writing:Then I would give students 7 minutes to write down this story, without other requirements.With all the preparations in pre-writing, students’ difficulties were cleared. So it would be much easier for them to write down the story within 7 minutes. There are no other requirements because students’ first writing is actually a drafting. It would be revise and edit several times later. Writing, as a skill
高中思想政治人教版必修三《文化創(chuàng)新的途徑》說課稿
二、說學(xué)情本課的教學(xué)對(duì)象為高二學(xué)生，他們思維活躍已具備一定歸納能力和分析、綜合能力，能夠自主地分析現(xiàn)實(shí)生活中的一些文化行為，但看問題往往比較偏激、片面，缺乏良好的邏輯思維能力。所以，在文化創(chuàng)新的途徑上要對(duì)他們進(jìn)行指導(dǎo)，以免走入誤區(qū)。三、教學(xué)目標(biāo)根據(jù)新課程標(biāo)準(zhǔn)、教材特點(diǎn)、學(xué)生的實(shí)際，我確定了如下教學(xué)目標(biāo)：【知識(shí)與能力目標(biāo)】1.理解文化創(chuàng)新的根本途徑和兩個(gè)基本途徑;2.了解文化創(chuàng)新過程中需要堅(jiān)持正確方向，克服錯(cuò)誤傾向。
人教版高中數(shù)學(xué)選修3離散型隨機(jī)變量的均值教學(xué)設(shè)計(jì)
對(duì)于離散型隨機(jī)變量，可以由它的概率分布列確定與該隨機(jī)變量相關(guān)事件的概率。但在實(shí)際問題中，有時(shí)我們更感興趣的是隨機(jī)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(cè)驗(yàn)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(jī)是否“兩極分化”則需要考察這個(gè)班數(shù)學(xué)成績(jī)的方差。我們還常常希望直接通過數(shù)字來反映隨機(jī)變量的某個(gè)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(yùn)動(dòng)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(shí)，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(gè)平均值的大小可以反映甲運(yùn)動(dòng)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.
人教版高中數(shù)學(xué)選修3二項(xiàng)式系數(shù)的性質(zhì)教學(xué)設(shè)計(jì)
1.對(duì)稱性與首末兩端“等距離”的兩個(gè)二項(xiàng)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(shí),C_n^k隨k的增加而減小.當(dāng)n是偶數(shù)時(shí),中間的一項(xiàng)C_n^(n/2)取得最大值;當(dāng)n是奇數(shù)時(shí),中間的兩項(xiàng)C_n^((n"-" 1)/2) 與C_n^((n+1)/2)相等,且同時(shí)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(xiàng)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(xiàng)式系數(shù)之和為2^n1. 在(a+b)8的展開式中,二項(xiàng)式系數(shù)最大的項(xiàng)為 ,在(a+b)9的展開式中,二項(xiàng)式系數(shù)最大的項(xiàng)為 . 解析:因?yàn)?a+b)8的展開式中有9項(xiàng),所以中間一項(xiàng)的二項(xiàng)式系數(shù)最大,該項(xiàng)為C_8^4a4b4=70a4b4.因?yàn)?a+b)9的展開式中有10項(xiàng),所以中間兩項(xiàng)的二項(xiàng)式系數(shù)最大,這兩項(xiàng)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
人教版高中數(shù)學(xué)選修3離散型隨機(jī)變量及其分布列(1)教學(xué)設(shè)計(jì)
4.寫出下列隨機(jī)變量可能取的值，并說明隨機(jī)變量所取的值表示的隨機(jī)試驗(yàn)的結(jié)果．(1)一個(gè)袋中裝有8個(gè)紅球，3個(gè)白球，從中任取5個(gè)球，其中所含白球的個(gè)數(shù)為X.(2)一個(gè)袋中有5個(gè)同樣大小的黑球，編號(hào)為1,2,3,4,5，從中任取3個(gè)球，取出的球的最大號(hào)碼記為X.(3). 在本例(1)條件下，規(guī)定取出一個(gè)紅球贏2元，而每取出一個(gè)白球輸1元，以ξ表示贏得的錢數(shù)，結(jié)果如何？[解] (1)X可取0,1,2,3.X＝0表示取5個(gè)球全是紅球；X＝1表示取1個(gè)白球，4個(gè)紅球；X＝2表示取2個(gè)白球，3個(gè)紅球；X＝3表示取3個(gè)白球，2個(gè)紅球．(2)X可取3,4,5.X＝3表示取出的球編號(hào)為1,2,3；X＝4表示取出的球編號(hào)為1,2,4；1,3,4或2,3,4.X＝5表示取出的球編號(hào)為1,2,5；1,3,5；1,4,5；2,3,5；2,4,5或3,4,5.(3) ξ＝10表示取5個(gè)球全是紅球；ξ＝7表示取1個(gè)白球，4個(gè)紅球；ξ＝4表示取2個(gè)白球，3個(gè)紅球；ξ＝1表示取3個(gè)白球，2個(gè)紅球．
