(1)幾何法它是利用圖形的幾何性質(zhì),如圓的性質(zhì)等,直接求出圓的圓心和半徑,代入圓的標準方程,從而得到圓的標準方程.(2)待定系數(shù)法由三個獨立條件得到三個方程,解方程組以得到圓的標準方程中三個參數(shù),從而確定圓的標準方程.它是求圓的方程最常用的方法,一般步驟是:①設——設所求圓的方程為(x-a)2+(y-b)2=r2;②列——由已知條件,建立關于a,b,r的方程組;③解——解方程組,求出a,b,r;④代——將a,b,r代入所設方程,得所求圓的方程.跟蹤訓練1.已知△ABC的三個頂點坐標分別為A(0,5),B(1,-2),C(-3,-4),求該三角形的外接圓的方程.[解] 法一:設所求圓的標準方程為(x-a)2+(y-b)2=r2.因為A(0,5),B(1,-2),C(-3,-4)都在圓上,所以它們的坐標都滿足圓的標準方程,于是有?0-a?2+?5-b?2=r2,?1-a?2+?-2-b?2=r2,?-3-a?2+?-4-b?2=r2.解得a=-3,b=1,r=5.故所求圓的標準方程是(x+3)2+(y-1)2=25.
思維拓展,通過觀察將兩個質(zhì)量相等、體積相等的瓶子沉入水桶中,水面有什么變化、將兩個重量相等、體積不同的瓶子沉入水桶中,水面有什么變化、將兩個體積相同、重量不同的瓶子沉入水桶中,水位有什么變化,讓幼兒在不同條件下觀察,并對現(xiàn)象展開聯(lián)想,拓展思維,滲透生活的實際理念,增加幼兒理解科學、熱愛科學和對生活的熱愛。 一起合作,激發(fā)潛能。本次活動通過幼兒一起合作,在合作中增加動手能力和合作意識。 活動目標:1、幼兒通過活動,初步感知沉入水中的物體,體積越大水位升得越高。2、通過幼兒一起合作,在合作中增加動手能力和合作意識。 3、培養(yǎng)幼兒學習實驗記錄的方法。 活動準備: 玻璃瓶一個(內(nèi)裝半瓶水)、玻璃瓶(兩種不同規(guī)格)、玻璃彈珠、筆、記錄卡、水桶等
③于是,大自然出現(xiàn)了驚人的奇跡,不毛的石縫間叢生出倔強的生命。④或者就只是一簇一簇無名的野草,春綠秋黃。歲歲枯榮。它們只有三兩片長長的細瘦的薄葉,那細微的葉脈,告知你生存該是多么艱難;更有的。它們就在一簇一簇瘦葉下自己生長出根須,只為了少向母體吮吸一點乳汁,便自去尋找那不易被覺察到的石縫。這就是生命,如果這是一種本能,那么它正說明生命的本能是多么尊貴,生命有權(quán)自認為輝煌壯麗,生機竟是這樣地不可扼制。⑤或者就是一團一團小小的山花,大多又都是那苦苦的蒲公英。它們不似田野上的同宗長得那樣茁壯,它們的莖顯得堅韌而蒼老。它們的葉因枯萎而失卻光澤。它們已經(jīng)不能再去為人們作佐餐的鮮嫩的野菜,卻默默地為攀登山路的人準備了一個可靠的抓手。生命就這樣地被環(huán)境規(guī)定著,又被環(huán)境改變著,適者生存的規(guī)律盡管無情。但一切適者就是戰(zhàn)勝環(huán)境的強者。生命現(xiàn)象告訴你,生命就是拼搏。
4.有8種不同的菜種,任選4種種在不同土質(zhì)的4塊地里,有 種不同的種法. 解析:將4塊不同土質(zhì)的地看作4個不同的位置,從8種不同的菜種中任選4種種在4塊不同土質(zhì)的地里,則本題即為從8個不同元素中任選4個元素的排列問題,所以不同的種法共有A_8^4 =8×7×6×5=1 680(種).答案:1 6805.用1、2、3、4、5、6、7這7個數(shù)字組成沒有重復數(shù)字的四位數(shù).(1)這些四位數(shù)中偶數(shù)有多少個?能被5整除的有多少個?(2)這些四位數(shù)中大于6 500的有多少個?解:(1)偶數(shù)的個位數(shù)只能是2、4、6,有A_3^1種排法,其他位上有A_6^3種排法,由分步乘法計數(shù)原理,知共有四位偶數(shù)A_3^1·A_6^3=360(個);能被5整除的數(shù)個位必須是5,故有A_6^3=120(個).(2)最高位上是7時大于6 500,有A_6^3種,最高位上是6時,百位上只能是7或5,故有2×A_5^2種.由分類加法計數(shù)原理知,這些四位數(shù)中大于6 500的共有A_6^3+2×A_5^2=160(個).
解析:因為減法和除法運算中交換兩個數(shù)的位置對計算結(jié)果有影響,所以屬于組合的有2個.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:因為A_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個元素的子集共有 個. 解析:滿足要求的子集中含有4個元素,由集合中元素的無序性,知其子集個數(shù)為C_5^4=5.答案:54.平面內(nèi)有12個點,其中有4個點共線,此外再無任何3點共線,以這些點為頂點,可得多少個不同的三角形?解:(方法一)我們把從共線的4個點中取點的多少作為分類的標準:第1類,共線的4個點中有2個點作為三角形的頂點,共有C_4^2·C_8^1=48(個)不同的三角形;第2類,共線的4個點中有1個點作為三角形的頂點,共有C_4^1·C_8^2=112(個)不同的三角形;第3類,共線的4個點中沒有點作為三角形的頂點,共有C_8^3=56(個)不同的三角形.由分類加法計數(shù)原理,不同的三角形共有48+112+56=216(個).(方法二 間接法)C_12^3-C_4^3=220-4=216(個).
活動目標: ◇ 愿意跟著老師一起進行10以內(nèi)的唱數(shù)活動。 ◇ 能按正確的順序唱數(shù)1-10。 ◇ 能合著身體動作有節(jié)拍地唱數(shù)。 活動準備: ◇ 學具:小矮人指偶,卡紙制作的10步階梯。 活動過程: ◇ 游戲:小矮人上樓梯 1.老師操作紙偶講故事: 小矮人很想爬到高高的樓梯上去玩玩,看看上面有什么。小矮人一邊爬樓梯一邊有節(jié)奏地唱數(shù):1 2 3 4 5, 6 7 8 9 10。小矮人爬到了10步高的樓梯上,他高興得跳呀跳,向小朋友們揮揮手。
1.根據(jù)課程標準的要求。本單元的主題是“生活智慧與時代精神”,課程標準的要求主要是引導學生“思考日常生活富有哲理的事例,感悟哲學是世界觀的學問,能夠開啟人的智慧”,“解釋哲學的基本問題”,“分析實例,說明真正的哲學是時代精神的精華,明確馬克思主義哲學在人類認識史上的重要地位”。這些問題,綜合起來就是使學生明確哲學與我們生活的關系,認識學習哲學特別是馬克思主義哲學對我們?nèi)松淖饔?。因此,探究本問題有助于學生更好地理解本單元的內(nèi)容,完成本單元的教學目標。2.根據(jù)學生的實際需要。學習哲學特別是馬克思主義哲學,可以幫助學生樹立正確的世界觀、人生觀和價值觀,這也是學習哲學的主要目的。但在學生中還不同程度地存在著“哲學與我們的生活很遠”、“哲學與我無關”、“哲學對我將來從事自然科學的研究沒有什么用處”等認識,這些都影響著學生對哲學學習的態(tài)度和哲學作用的發(fā)揮。設置本探究問題,有助于幫助學生澄清這些模糊認識。
【教材分析】This teaching period mainly deals with the grammar: the restrictive relative clauses.This period carries considerable significance to the cultivation of students’ writing competence and lays a solid foundation for the basic appreciation of language beauty. The teacher is expected to enable students to master this period thoroughly and consolidate the knowledge by doing some exercise of good quality.【教學目標與核心素養(yǎng)】1. Get students to have a good understanding of the basic usages of the restrictive relative clauses.2. Enable students to use the restrictive relative clauses flexibly.3. Develop students’ speaking and cooperating abilities.4. Strengthen students’ great interest in grammar learning.【教學重難點】How to enable students to have a good understanding of the restrictive relative clauses, especially the uses of the relative words such as which, that, who, whom.【教學過程】Step1: 語法知識呈現(xiàn)定語從句(一)—關系代詞的用法在復合句中, 修飾名詞或代詞的從句叫定語從句。定語從句通常由關系代詞或關系副詞引導,說明事物的具體信息,從句位于被修飾詞之后。被定語從句修飾的詞叫先行詞,引導定語從句的詞叫關系詞,關系詞指代先行詞,并在定語從句中充當成分。關系詞有兩種:關系代詞who, whom ,whose, that, which, as和關系副詞when, where, why。
【教材分析】高考聽力材料的選用非常重視語言真實性和交際性的原則,語言材料一般來源于實際生活,對話的內(nèi)容大都取材于日常生活,即衣、食、住、行、工作、學習、天氣、生活環(huán)境等話題,可分為校園、公共場所、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。新教材的特點就是利用生活中真實文本,只是降低難度,讓學生注重語言的應用,將是我們高考把握方向的重要因素。【教學目標與核心素養(yǎng)】學習能力目標:在聽力當中,學生應該有效規(guī)劃學習方法,選擇恰當?shù)牟呗耘c方法。這節(jié)課的訓練目標是讓學生有正確的預測和抓住問題的關鍵信息,從而用心去聽來找尋關鍵信息。根據(jù)生活中實際情況和高考常見語境,我們不難發(fā)現(xiàn)提前預測和抓住題干中的w很重要,即what, where, when, why等等。
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.
Step 5 Practice一、完成下列句子。1. Judy and I _______________(把車停下來(park))in an underground car Park near Trafalgar Square, where we could ______________________(讓我們的車充電(charge)).2. When we finally reached the service desk to ask for audio guides, we heard it ___________ that there were no audio guides____________(留下,剩下).3. We__________________________(發(fā)現(xiàn)自己對...很驚訝)the large number of visitors and the amount of noise at the entrance of the National Gallery.4. Judy ____________________(眼神專注于) Van Gogh’s Sunflowers. It was hard to approach the painting as there were so many people around.5. She ____________________(把這幅畫的復制品裝箱(box)) to ensure that it was delivered safely.答案:1.had our car parked get our car battery charged 2. announced left 3. found ourselves very surprised 4. had her eyes fixed on 5. had a copy of the painting boxed二、用過去分詞對下列句子進行改寫。1. Loch Ness was surrounded by beautiful natural landscape, which made it look amazing.2. Carl and his friend stayed with a generous family who offered them bread with butter and honey that was homemade.3. The family’s ancestors once attended to soldiers who were wounded in the First World War.4. The young people were attracted by the legend of Loch Ness. They watched over the lake with their cameras and binoculars, which were positioned on the hill.答案:1. Loch Ness surrounded by beautiful natural landscape looks amazing.2. Carl and his friends stayed with a generous family who offered them homemade bread with butter and honey.3. The family’s ancestors once attended to wounded soldiers in the First World War.4. The young people attracted by the legend of Loch Ness watched over the lake with their cameras and binoculars positioned on the hill.
This unit is about history and traditions. From the opening page, we can know that this unit will introduce the history and traditions around the world. As Marcus Garvey says “A people without the knowledge of their past history, origin and culture is like a tree without roots”, it is important for students to realize the importance and value of knowing the history and traditions and their further meanings. And this part ( listening and speaking ) is divided into two parts: Part A---share views on historic sites, Part B ---talk about a visit to a historic tourist destination. By talking with a foreigner, the speakers introduce the historic attractions and their cultures. Part A is that William, a British student, who was going to visit the Confucius Temple and a Chinese student, Xiao Kong, who was going to the Confucius Temple to meet with the members of the research group, went together and exchanged their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts. Part B is a conversation between Xiao Yan, a youth hostel receptionist and Paul, a backpacker about the feelings and experience after visiting the Chinese famous tourist attraction Pingyao.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to guess the meaning of words in listening; discuss with their peers how to talk about historic spots and great person.3. Instruct students to use functional sentences of showing one’s excitement, surprise and disappointment.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to discuss with their peers the related topics.3. Enable students to use the functional items of showing one’s excitement, surprise and disappointment.
This teaching period mainly deals with grammar: The past participle is used as attributive and objective complement.1. Guide students to review the basic usages of the past participle used as attributive and objective complement.2. Lead students to learn to use some special cases concerning the past participle used as attributive and objective complement flexibly.3. Strengthen students’ great interest in grammar learning.1. Help students to appreciate the function of the past participle used as attributive and objective complement.2. Instruct students to write essays using the past participle used as attributive and objective complement.Step1:溫故而知新。Analyze the underlined phrases and then sum up the common usages of the past participles.1.(教材P41)They had castles built(build) all around England, and made changes to the legal system.2.(教材P42)They use the same flag, known(know) as the Union Jack,...3.(教材P42)Judy and I had our car parked(park) in an underground car park near Trafalgar Square, where we could get our car battery charged(charge).Common points: f the past participle used as attributive and objective complement.Step 2:過去分詞作定語時的意義1.及物動詞的過去分詞作定語,在語態(tài)上表示被動;在時間上,常表示動作已經(jīng)發(fā)生或完成,有時也不表示時間性。Our teacher watched us doing the experiment and gave us a satisfied smile at last.我們的老師看著我們做實驗,最后給了我們一個滿意的微笑。The plan put forward at the meeting will be carried out soon.會上提出的計劃將很快被執(zhí)行。2.不及物動詞的過去分詞作定語,它不表示被動意義,只強調(diào)動作完成。Many little kids like gathering fallen leaves in the yard.
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
Listening and Speaking introduces the topic of “Take part in a youth project”. The listening text is an interview about "sharing views on historical sites". Through listening to a dialogue between Chinese and foreign students on the way to the Confucius Temple, students can understand their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts, so as to realize and think about the profound influence of Confucius and his thoughts on Chinese historical tradition. At the same time, the dialogue naturally integrates English idioms and mentions Shakespeare, the British playwright, so as to provide language materials and context for students to understand English idioms and related cultural allusions, as well as to compare Chinese and foreign cultures, which is helpful for students to understand and express the language such as history, tradition, culture and custom significant impact.Text analysis: listening text is a dialogue between a British student and a Chinese student when he goes to the Confucius Temple. When William, a British student, visited the Confucius Temple, he asked Xiao Kong, a Chinese student, for directions. Xiao Kong was just going to the Confucius Temple to meet with the members of the research group, so they went together and exchanged their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts. From the perspective of foreign tourists, this paper describes their thoughts on Confucius, the great son of Confucius, who had a profound impact on Chinese history and cultural tradition, and his education.Listening and Talking introduces a visit to a historic tourist destination. Tourism is a common way to understand a country's history, culture, and customs and so on. Students listen to the dialogue between Xiao Yan, a youth hostel Usher, and Paul, a backpacker, to learn about Pingyao's famous historical and cultural attractions and Paul's travel experience and experience as a foreign tourist.
Features of languages1.Finally, in the 20th century, the southern part of Ireland broke away from the UK, which resulted in the full name we have today: the United Kingdom of Great Britain and Northern Ireland.該句是一個復合句。該句主句為:the southern part of Ireland broke away from the UK;which resulted in the full name we have today為which引導的定語從句代指前面整句話的內(nèi)容,we have today為定語從句修飾先行詞name。譯文:最后,在20世紀,愛爾蘭南部脫離英國,這導致了我們今天有的英國的全名:大不列顛及北愛爾蘭聯(lián)合王國。2.Almost everywhere you go in the UK, you will be surrounded by evidence of four different groups of people who took over at different times throughout history.該句是一個復合句。該句主句為:you will be surrounded by evidence of four different groups of people;其中Almost everywhere you go in the UK為讓步狀語從句; who took over at different times throughout history為定語從句修飾先行詞people。譯文:幾乎無論你走到英國的任何地方,你都會發(fā)現(xiàn)歷史上有四種不同的人在不同的時期統(tǒng)治過英國。3.The capital city London is a great place to start, as it is an ancient port city that has a history dating all the way back to Roman times.該句是一個復合句。該句主句為:The capital city London is a great place to start; as it is an ancient port city that has a history dating all the way back to Roman times.為原因狀語從句;dating all the way back to Roman times為現(xiàn)在分詞短語作定語修飾history。
Step 1 Lead inThere are many interest of places in the UK. What do you know ?The Big Ben the London Tower the Thames RiverStep 2 Before reading---analyze the titleBeautiful Ireland and its traditionWe know that the article mainly tells about the beauty and traditions of Ireland. Step 3 While reading---Task 1Read the text and answer the following questions.Q1: What makes the Irish countryside exciting and inspiring?Its beauty and how it offers something for all the scenes.Q2: What are the best ways to experience some Irish traditions and cultures?By stopping by a village pub and relaxing with a drink and traditional meal while listening to music and watching dancingQ3: What is the meaning of “breathe in the sweet scent of fresh flowers while birds greet the new day with their morning song ?”It means to not just smell but also breathe in the smell of fresh flowers early in the morning as the birds sing their first song of the new day.Q4: What are the best ways to experience Chinese traditions and customs ?By travelling to different places and using all your senses to experience everything and by interacting with local people.Step 4 While reading---Task 2Analyze the descriptive paragraph1. Identify and underline the paragraph’s introductory sentence and the ending sentence.Introductory sentence: Ireland’s beautiful countryside has always had a great influence on its people and traditions.Ending sentence: And if you introduce yourself to a friendly face, you are more than likely to experience local culture and customs first-hand.2. The paragraph talks about different senses in different places. Write the senses and places in the order that they appear.
這個地區(qū)有著深厚的傳統(tǒng)。既學既練:為了讓更多的外國游客了解中國文化,欣賞中國美麗的自然風光,感受中國發(fā)生的巨大變化,某外文雜志社將出版一本英語小冊子來介紹中國的旅游景點。該雜志社邀請你為該小冊子寫一篇英語短文來介紹杭州,內(nèi)容包括:1.杭州的位置(中國東南部)、面積(16 000多平方公里)及歷史(2 200多年)等;2.杭州的旅游特色(自然風景、傳統(tǒng)文化、特色小吃等);3.希望更多的游客來杭州參觀。注意:1.詞數(shù)80左右;2.可適當增加細節(jié),以使行文連貫。Located in the southeast of China, Hangzhou is a beautiful city.Dating back more than 2,200 years, Hangzhou covers an area of more than 16,000 square kilometers.In Hangzhou, you can visit the West Lake, whose scenery is fascinating.In addition, you can’t miss its cultural relics and historical sites, from which you will learn more about excellent Chinese traditional culture and traditions.In Hangzhou, the special snacks are famous and visitors from different parts of the world think highly of them.As a tourist attraction, Hangzhou attracts a large number of visitors from home and abroad every year.Once you come to China, Hangzhou is a scenic spot you can’t miss.
本閱讀材料的話題是交際中的肢體語言,作者從三個方面講述了肢體語言的特征與作用,通過主題句和舉例闡述的方式讓讀者了解不同文化中肢體語言的相同或者不同的意義,并從更抽象、概括的維度深入認識肢體語言的特點,理解肢體語言的作用?;谥w語言的特點,作者提醒讀者在與人交流中,尤其是當文化背景有差異的時候,要使用得體的肢體語言,尊重、理解和包容不同的文化,進行有效、有素養(yǎng)的溝通。文本共由六個段落組成,篇章結(jié)構(gòu)為“總—分”。第一段用簡練的語言引出了話題,并且從我們自身表達的需要和了解他人感受兩個角度講述了肢體語言的作用。第二段闡述了肢體語言的第一個重要特點——肢體語言在不同的文化中有不同的內(nèi)涵——這也是文中寫作篇幅最大的一個要點,最為重要。通過講述肢體語言的這一特點,作者向讀者傳遞了要尊重不同的文化、要使用與所在文化相宜的肢體語言。
本活動旨在落實課時教學目標2。 1.Think, discuss and share. Students form groups of 4, discuss about the given ending make comments. Q1: Do you like the ending? Q2: Was it a logical ending? Why so or why not? [設計意圖]通過引導學生思考、討論、評價,比較個人、同伴所預測的結(jié)局和聽力文本所給定的結(jié)局的異同點,深化對文本的認知,發(fā)展學生的評判性思維能力。 Activity 4: Exploring Asimov’s three laws of robotics and the purpose of the writing 本活動旨在落實課時教學目標3。 1. Get to know Isaac Asimov’s three laws of robotics. The teacher shares Isaac Asimov’s three laws of robotics. The three laws state that: ①A robot may not injure a human being or, through inaction, allow a human being to come to harm. ②A robot must obey any orders given to it by human beings, except where such orders would conflict with the First Law. ③A robot must protect its own existence as long as such protection does not conflict with the First or Second Law. Q: How does Tony’s story relate to the laws? 2. Figure out Isaac Asimov’s purpose of writing Satisfaction Guaranteed. The students express their opinions about the author’s writing purpose. Q: Why did Isaac Asimov write such a story? S: To explore the relationship between robots and humans. [設計意圖]通過了解艾薩克·阿西莫夫所制定的機器人三大定律,加深學生對文本的理解,深入探究文本的主題意義。推理作者的寫作目的,聯(lián)系生活實際,思考人類與機器人的關系。