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【高教版】中職數(shù)學基礎模塊上冊:3.3《函數(shù)的實際應用舉例》教學設計

  • 新人教版高中英語必修3Unit 5 The Value of Money-Reading for Writing教學設計二

    新人教版高中英語必修3Unit 5 The Value of Money-Reading for Writing教學設計二

    2. 您能看到, 我頭發(fā)太長了。You can see that my hair is much too long.3. 無論什么時候, 只要您想回來就回來。Please come back whenever you want.4. 您僅有很少的頭發(fā)要理! You only have too little hair to cut !5. 為您服務是我的榮幸!It is my honour to serve you!Step 9 Writing(Henry is walking down the street when he sees a sign for a place that cuts hair. He decides to have it cut. )H=Henry B=BarberH: Good afternoon, I’d like to have my hair cut, if I may. (The barber looks at Henry’s hair and continues cutting another man’s hair. ) Er, I’d really like a haircut. As you can see it’s much too long. B: (in a rude manner) Yes, I can see that. Indeed, I can. H: Fine, well, I’ll have a seat then. (He sits in one of the barber’s chairs. The barber turns to look at Henry. )B: It’s quite expensive here, you know! Are you sure you can afford it?H: Yes. I think so. (After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B: Why Mr. . . (looks shocked)H: Adams. Henry Adams. I’m sorry. I don’t have any change. B: Please don’t worry! (wearing a big smile) Nothing to worry about! Nothing at all! Please come back whenever you want, even if you only have too little hair to cut! It will be my honour to serve you!Step 10 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Are all the elements of a play included and in good order ?2. Do the character use suitable language ?3. Are the stage directions clear and useful ?4. Is the plot clear and exciting enough ?

  • 新人教版高中英語必修3Unit 5 the value of money-Reading For Writing教學設計一

    新人教版高中英語必修3Unit 5 the value of money-Reading For Writing教學設計一

    【參考范文】Narrator:(Henry is smiling as he leaves the restaurant. As he is walking down the street, he sees a sign for a place that cuts hair. He decides to get it cut. )H=Henry;B=Barber;R=rude manH:Good afternoon, I'd like to get a cut, if I may. (The barber looks at Henry's hair and continues cutting another man's hair. )Er, I'd really like a haircut. As you can see it's much too long. B:(in a rude manner) Yes, I can see that. Indeed, I can. H:Fine, well I'll have a seat then. (He sits in one of the barber's chairs. The barber turns to look at Henry. )B:It's quite expensive here, you know!Are you sure you can afford it?H:Yes. I think so. (In comes the rude man. )R:Hey you there. I need a haircut quickly. Can you do me straightaway?B:All right, then, get in the chair and I'll see what I can do. R:Thank you. (sits down in one of the barber's chairs)H:Excuse me, but I was here first. Aren't you going to do my hair first?B:This man's in a hurry. H:Well so am I!I insist that you cut my hair first. B:OK, but I'll have to be quick. This gentleman is waiting. H:Thank you. (They both become quiet. After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B:Why, Mr . . . (looks shocked)H:Adams. Henry Adams. I'm sorry, I don't have any change. R:You're that Mr Adams! Well,I'm glad I waited or I might never have known it was you. B:Why, Mr Adams, please don't worry!(wearing a big smile) Nothing to worry about!Nothing at all!Please come back any time, even if you only need too little hairs cut!It will be my honour to serve you!

  • 新人教版高中英語選修2Unit 1 Science and Scientists-Discovering useful structures教學設計

    新人教版高中英語選修2Unit 1 Science and Scientists-Discovering useful structures教學設計

    The grammatical structure of this unit is predicative clause. Like object clause and subject clause, predicative clause is one of Nominal Clauses. The leading words of predicative clauses are that, what, how, what, where, as if, because, etc.The design of teaching activities aims to guide students to perceive the structural features of predicative clauses and think about their ideographic functions. Beyond that, students should be guided to use this grammar in the context apporpriately and flexibly.1. Enable the Ss to master the usage of the predicative clauses in this unit.2. Enable the Ss to use the predicative patterns flexibly.3. Train the Ss to apply some skills by doing the relevant exercises.1.Guide students to perceive the structural features of predicative clauses and think about their ideographic functions.2.Strengthen students' ability of using predicative clauses in context, but also cultivate their ability of text analysis and logical reasoning competence.Step1: Underline all the examples in the reading passage, where noun clauses are used as the predicative. Then state their meaning and functions.1) One theory was that bad air caused the disease.2) Another theory was that cholera was caused by an infection from germs in food or water.3) The truth was that the water from the Broad Street had been infected by waste.Sum up the rules of grammar:1. 以上黑體部分在句中作表語。2. 句1、2、3中的that在從句中不作成分,只起連接作用。 Step2: Review the basic components of predicative clauses1.Definition

  • 新人教版高中英語選修2Unit 1 Science and Scientists-Reading and thinking教學設計

    新人教版高中英語選修2Unit 1 Science and Scientists-Reading and thinking教學設計

    Step 5: After learning the text, discuss with your peers about the following questions:1.John Snow believed Idea 2 was right. How did he finally prove it?2. Do you think John Snow would have solved this problem without the map?3. Cholera is a 19th century disease. What disease do you think is similar to cholera today?SARS and Covid-19 because they are both deadly and fatally infectious, have an unknown cause and need serious public health care to solve them urgently.keys:1. John Snow finally proved his idea because he found an outbreak that was clearly related to cholera, collected information and was able to tie cases outside the area to the polluted water.2. No. The map helped John Snow organize his ideas. He was able to identify those households that had had many deaths and check their water-drinking habits. He identified those houses that had had no deaths and surveyed their drinking habits. The evidence clearly pointed to the polluted water being the cause.3. SARS and Covid-19 because they are both deadly and fatally infectious, have an unknown cause and need serious public health care to solve them urgently.Step 6: Consolidate what you have learned by filling in the blanks:John Snow was a well-known _1___ in London in the _2__ century. He wanted to find the _3_____ of cholera in order to help people ___4_____ it. In 1854 when a cholera __5__ London, he began to gather information. He ___6__ on a map ___7___ all the dead people had lived and he found that many people who had ___8____ (drink) the dirty water from the __9____ died. So he decided that the polluted water ___10____ cholera. He suggested that the ___11__ of all water supplies should be _12______ and new methods of dealing with ____13___ water be found. Finally, “King Cholera” was __14_____.Keys: 1. doctor 2. 19th 3.cause 4.infected with 5.hit 6.marked 7.where 8.drunk 9.pump 10.carried 11.source 12.examined 13.polluted 14.defeatedHomework: Retell the text after class and preview its language points

  • 新人教版高中英語選修2Unit 1 Science and Scientists-Using langauge教學設計

    新人教版高中英語選修2Unit 1 Science and Scientists-Using langauge教學設計

    This happens because the dish soap molecules have a strong negative charge, and the milk molecules have a strong positive charge. Like magnets, these molecules are attracted to each other, and so they appear to move around on the plate, taking the food coloring with them, making it look like the colors are quickly moving to escape from the soap.Listening text:? Judy: Oh, I'm so sorry that you were ill and couldn't come with us on our field trip. How are you feeling now? Better?? Bill: Much better, thanks. But how was it?? Judy: Wonderful! I especially liked an area of the museum called Light Games.it was really cool. They had a hall of mirrors where I could see myself reflected thousands of times!? Bill: A hall of mirrors can be a lot of fun. What else did they have?? Judy: Well, they had an experiment where we looked at a blue screen for a while, and then suddenly we could see tiny bright lights moving around on it. You'll never guess what those bright lights were!? Bill: Come on, tell me!? Judy: They were our own blood cells. For some reason, our eyes play tricks on us when we look at a blue screen, and we can see our own blood cells moving around like little lights! But there was another thing I liked better. I stood in front of a white light, and it cast different shadows of me in every color of the rainbow!? Bill: Oh, I wish I had been there. Tell me more!? Judy: Well, they had another area for sound. They had a giant piano keyboard that you could use your feet to play. But then, instead of playing the sounds of a piano, it played the voices of classical singers! Then they had a giant dish, and when you spoke into it, it reflected the sound back and made it louder. You could use it to speak in a whisper to someone 17 meters away.? Bill: It all sounds so cool. I wish I could have gone with you? Judy: I know, but we can go together this weekend. I'd love to go there again!? Bill: That sounds like a great idea!

  • 新人教版高中英語選修2Unit 3 Food and Culture-Discovering useful structures教學設計

    新人教版高中英語選修2Unit 3 Food and Culture-Discovering useful structures教學設計

    The newspaper reported more than 100 people had been killed in the thunderstorm.報紙報道說有一百多人在暴風雨中喪生。(2)before、when、by the time、until、after、once等引導的時間狀語從句的謂語是一般過去時,以及by、before后面接過去的時間時,主句動作發(fā)生在從句的動作或過去的時間之前且表示被動時,要用過去完成時的被動語態(tài)。By the time my brother was 10, he had been sent to Italy.我弟弟10歲前就已經(jīng)被送到意大利了。Tons of rice had been produced by the end of last month. 到上月底已生產(chǎn)了好幾噸大米。(3) It was the first/second/last ... time that ...句中that引導的定語從句中,主語與謂語構成被動關系時,要用過去完成時的被動語態(tài)。It was the first time that I had seen the night fact to face in one and a half years. 這是我一年半以來第一次親眼目睹夜晚的景色。(4)在虛擬語氣中,條件句表示與過去事實相反,且主語與謂語構成被動關系時,要用過去完成時的被動語態(tài)。If I had been instructed by him earlier, I would have finished the task.如果我早一點得到他的指示,我早就完成這項任務了。If I had hurried, I wouldn't have missed the train.如果我快點的話,我就不會誤了火車。If you had been at the party, you would have met him. 如果你去了晚會,你就會見到他的。

  • 新人教版高中英語必修3Unit 3 Diverse Cultures-Discovering Useful Structure教學設計

    新人教版高中英語必修3Unit 3 Diverse Cultures-Discovering Useful Structure教學設計

    Step 4 PracticeRead the conversation. Find out which words have been left out.Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Any recommendations for places to visit?Linlin: Wow, cool! Guizhou is a province with a lot of cultural diversity. Places to visit...well, definitely the Huangguoshu Waterfall first.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have. Why ?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King.Justin: Really? Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages. You’ll find Chinese culture is much more diverse than you thought.Justin:Sounds great, thanks.Answers:Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Do you have any recommendations for places to visit?Linlin: Wow, that’s cool! Guizhou is a province with a lot of cultural diversity. What are some places to visit in Guizhou ? Well, definitely the Huangguoshu Waterfall is the first place to visit in Guizhou Province.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have heard of the Chinese novel Journey to the West . Why do you ask if I have heard of the Chinese novel Journey to the West?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King from Journey to the West.Justin: That’s really true? It’s Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages on your trip to Guizhou Province. You’ll find Chinese culture is much more diverse than you thought it was.Justin:This all sounds great, thanks.

  • 新人教版高中英語必修3Unit 4 Space Exploration-Reading and Thinking教學設計二

    新人教版高中英語必修3Unit 4 Space Exploration-Reading and Thinking教學設計二

    The theme of this unit focuses on “space exploration.” Students will learn about the training and experience needed to become an astronaut. The text is mainly about the development of space exploration. On the one hand, the text helps students to have a good understanding about the great feats humans have achieved, on the other hand, they will further understand the contributions that we Chinese have achieved, and feel confident and proud about our homeland and strengthen their love for our country. The teacher should instruct students to aim high and study harder to make great progress in the space career if possible.1. Read about the development and value of space exploration.2. Explore the mysteries of the universe and the achievements in space exploration.3. Skillfully use the vocabulary of this text to cultivate self-study ability 4. Develop cooperative learning ability through discussion.1. Enable the Ss to talk about the development and value of space exploration.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.3. Help Ss comprehend the main reasons for space exploration. Multi-media, textbook, notebooks.Step 1: Warming up and predictionLook at the title and the pictures of the text and predict what the text will be about?2. What are the main reasons for space exploration?

  • 新人教版高中英語必修3Unit 5 The Value of Money- Discovering Useful Structure教學設計

    新人教版高中英語必修3Unit 5 The Value of Money- Discovering Useful Structure教學設計

    Step 3 Meaning1. 過去將來時表示從過去某一時間來看將要發(fā)生的動作或存在的狀態(tài), 常用在賓語從句中。一般由“would/should +動詞原形”構成。She hoped that they would meet again someday. 她希望將來有一天他們能再見面。2. was/were going to+動詞原形: 表示過去將要發(fā)生或很有可能發(fā)生的動作, 常用于口語中, 表示預言、意圖或者打算等。He was going to start work the following week. 他打算下星期開始工作。3. was/were about to do: 常用來表示即將發(fā)生的動作, “剛要/正要做……”。注意該結構不與任何時間狀語連用。I felt that something terrible was about to happen. 我感到某種可怕的事情即將發(fā)生。4.was/were to do: 表示“曾計劃做某事”, 如果表示“本來計劃做某事, 動作沒實現(xiàn)”, 則需用 “was/were to have done”。She said she was to have told me about the accident. 她說她本來想告訴我關于事故的事。5.Start, go, come, leave, see, meet等動詞的過去進行時: 表示就過去某一時刻而言即將發(fā)生的動作。She was coming later. 她隨后就來。I had just put on my overcoat and was leaving to visit a friend of mine. 我剛穿上外套要去看我的一個朋友。

  • 新人教版高中英語選修2Unit 4 Journey Across a Vast Land教學設計

    新人教版高中英語選修2Unit 4 Journey Across a Vast Land教學設計

    當孩子們由父母陪同時,他們才被允許進入這個運動場。3.過去分詞(短語)作狀語時的幾種特殊情況(1)過去分詞(短語)在句中作時間、條件、原因、讓步狀語時,相當于對應的時間、條件、原因及讓步狀語從句。Seen from the top of the mountain (=When it is seen from the top of the mountain), the whole town looks more beautiful.從山頂上看,整個城市看起來更美了。Given ten more minutes (=If we are given ten more minutes), we will finish the work perfectly.如果多給十分鐘,我們會完美地完成這項工作。Greatly touched by his words (=Because she was greatly touched by his words), she was full of tears.由于被他的話深深地感動,她滿眼淚花。Warned of the storm (=Though they were warned of the storm), the farmers were still working on the farm.盡管被警告了風暴的到來,但農民們仍在農場干活。(2)過去分詞(短語)在句中作伴隨、方式等狀語時,可改為句子的并列謂語或改為并列分句。The teacher came into the room, followed by two students (=and was followed by two students).后面跟著兩個學生,老師走進了房間。He spent the whole afternoon, accompanied by his mom(=and was accompanied by his mom).他由母親陪著度過了一整個下午。

  • 新人教版高中英語選修2Unit 3 Food and Culture-Reading and thinking教學設計

    新人教版高中英語選修2Unit 3 Food and Culture-Reading and thinking教學設計

    The discourse explores the link between food and culture from a foreign’s perspective and it records some authentic Chinese food and illustrates the cultural meaning, gerography features and historic tradition that the food reflects. It is aimed to lead students to understand and think about the connection between food and culture. While teaching, the teacher should instruct students to find out the writing order and the writer’s experieces and feelings towards Chinese food and culture.1.Guide the students to read the text, sort out the information and dig out the topic.2.Understand the cultural connotation, regional characteristics and historical tradition of Chinese cuisine3.Understand and explore the relationship between food and people's personality4.Guide the students to use the cohesive words in the text5.Lead students to accurately grasp the real meaning of the information and improve the overall understanding ability by understanding the implied meaning behind the text.1. Enable the Ss to understand the structure and the writing style of the passage well.2. Lead the Ss to understand and think further about the connection between food and geography and local character traits.Step1: Prediction before reading. Before you read, look at the title, and the picture. What do you think this article is about?keys:It is about various culture and cuisine about a place or some countries.

  • 新人教版高中英語選修2Unit 5 First Aid-Discovering useful structures教學設計

    新人教版高中英語選修2Unit 5 First Aid-Discovering useful structures教學設計

    You have no excuse for not going.你沒有理由不去。He was punished for not having finished his homework.他因未完成作業(yè)而受到懲罰。2.動詞­ing形式復合結構由物主代詞或人稱代詞賓格、名詞所有格或普通格加動詞­ing,即“sb./sb.'s+doing”構成。動詞­ing形式的復合結構實際上是給動詞­ing形式加了一個邏輯主語。動詞­ing形式的復合結構有四種形式:①形容詞性物主代詞+動詞­ing②名詞所有格+動詞­ing③代詞賓格+動詞­ing④名詞+動詞­ingHer coming to help encouraged all of us.她來幫忙鼓舞了我們所有人。The baby was made awake by the door suddenly shutting.這個嬰兒被突然的關門聲吵醒了。Can you imagine him/Jack cooking at home?你能想象他/杰克在家做飯的樣子嗎?無生命名詞無論是作主語還是作賓語都不能用第②種形式。Tom's winning first prize last year impressed me a lot.湯姆去年得了一等獎使我印象深刻。Do you mind my/me/Jack's/Jack leaving now?你介意我/杰克現(xiàn)在離開嗎?Excuse me for my not coming on time.很抱歉我沒能按時來。His father's being ill made him worried.他父親病了,他很擔心。We are looking forward to the singer's/the singer to give us a concert.我們盼望著這位歌手來給我們舉辦一場演唱會。

  • 一元一次方程教案教學設計

    一元一次方程教案教學設計

    1、方程的定義1)像這種用等號“=”來表示相等關系的式子,叫等式。(老師給出定義。)2)請大家觀察左邊的這些式子,看看它們有什么共同的特征?(老師提出問題。)3)列方程時,要先設字母表示未知數(shù),然后根據(jù)問題中的相等關系,寫出含有未知數(shù)的等式叫做方程。(學生思考后,老師給出新學內容方程的定義。)4)判斷方程的兩個關鍵要素: ①有未知數(shù) ②是等式(老師提問,并給出。)

  • 簡單隨機抽樣教案教學設計

    簡單隨機抽樣教案教學設計

    1、交流與發(fā)現(xiàn)為了了解本校學生暑假期間參加體育活動的情況,學校準備抽取一部分學生進行調查,你認為按下面的調查方法取得的結果能反映全校學生的一般情況嗎?如果不能反映,應當如何改進調查方法?方法1:調查學校田徑隊的30名同學;方法2:調查每個班的男同學;方法3:從每班抽取1名同學進行調查;方法4:選取每個班級中的一半學生進行調查.通過前面的活動,學生親身經(jīng)歷了一次數(shù)據(jù)的調查過程,并通過對所得數(shù)據(jù)的計算和分析,了解了自己在家干家務活的時間所處的位置和水平,在調查過程中體會到調查方便有效的重要性.接下來,就能很好地解決交流與發(fā)現(xiàn)中的問題.師生共同討論完成交流與發(fā)現(xiàn).

  • 三角形內角和定理教案教學設計

    三角形內角和定理教案教學設計

    活動內容:① 已知,如圖,在三角形ABC中,AD平分外角∠EAC,∠B=∠C.求證:AD∥BC分析:要證明AD∥BC,只需證明“同位角相等”,即需證明∠DAE=∠B.證明:∵∠EAC=∠B+∠C(三角形的一個外角等于和它不相鄰的兩個內角的和)∠B=∠C(已知)∴∠B=∠EAC(等式的性質)∵AD平分∠EAC(已知)∴∠DAE=∠EAC(角平分線的定義)∴∠DAE=∠B(等量代換)∴AD∥BC(同位角相等,兩直線平行)想一想,還有沒有其他的證明方法呢?這個題還可以用“內錯角相等,兩直線平行”來證.

  • 大班語言教案:《m, f》教學設計

    大班語言教案:《m, f》教學設計

    2.學會聲母“b”和單韻母“a”拼讀音節(jié)的方法?! ?.學會拼讀“b p m f”與“u、o”組成的音節(jié)?! 〗虒W難點  掌握拼讀聲母和韻母組成的音節(jié)?! 〗虒W過程  一、談話導入  我們已經(jīng)認識了韻母家族的6個朋友(出示a o e i u ü)一起讀讀,你們讀得真準,能不能按字母順序擺一擺,再按順序讀一讀。你們記得真清楚。這節(jié)課我們一起到拼音王國里再認識四個聲母家族的朋友,你們愿意嗎?  二、學習“b p m f ”的音形 ?。ㄒ唬W習“b”的音形  1.出示“b”的圖  (1)引導學生提問:圖上的小朋友在干什么? ?。?)問:這個字母念什么?學生試讀“b”。 ?。?)講:聽廣播的“播”讀得輕短些,發(fā)音時,把兩片嘴閉合,把氣     憋住,然后突然放開,讓氣流沖出雙唇就是“b”的音?! 。?)教師范讀?! 。?)學生學讀,體會發(fā)音方法?! 。?)開火車讀。   2.學習“b”的形 ?。?)引導學生提問:怎樣記住“b”的形?或“b”與圖中的哪一部分很像? ?。?)你們能編一個記憶“b”的小兒歌嗎?  拉開天線聽廣播“b b b”?! ∮蚁掳雸A“b b b”?! ?字“b”。……  3.指導書寫b(1)講:我們先認識一個字母基本筆畫:“丨”上豎。 (2)請同學們觀察書中字母“b”先寫哪筆,再寫哪筆,幾筆寫成?占什么格?同桌同學互相說說。(3)學生說筆順、位置,教師范寫,強調“b”的第一筆在上格的三分之一處起筆到第三條線停筆。  ?。?)學生書空筆順?! 。?)學生在拼音本上抄字頭。教師行間巡視,進行個別輔導。糾正學生的寫姿和執(zhí)筆方法。對姿勢正確的學生及時表揚鼓勵。

  • 大班語言教案:《i,u,ü》教學設計

    大班語言教案:《i,u,ü》教學設計

    2、學會正確認讀i、u、ü的帶調韻母。知道ü上標聲調時,上面的小圓點不寫。3、會在四線格里抄寫i、u、ü三個單韻母。課時安排:2課時第一課時  教學目標:教學單韻母i、u并抄寫?! 〗虒W過程:  一、 復習檢查。  1、猜謎語?! 。?)白鵝倒影是什么韻母? ?。?)圓臉小姑娘,小辮右邊扎。這是什么韻母?  (3)像個圓圈是什么韻母?  2、抽讀字母卡片?! 《?、 教學單韻母i?! ?、看圖說話引出i?! D上畫著什么?圖上畫著一件衣服。i的發(fā)音與“衣”的音相同?! ?、教學i的發(fā)音,認清字形?! 。?)發(fā)音要領:發(fā)音時嘴比發(fā)e時開得更小,只留一條小縫,舌前部升高,接近上腭,舌尖抵住下齒背,讓氣從舌尖和上腭中間自然流出?! 。?)教師范讀、領讀?! 。?)記憶字形?! 像什么?順口溜:“像支蠟燭i、i、i。”  3、書寫指導:先寫豎,再寫點,兩筆寫成?! ∪?教學單韻母u?! ?、看圖說話引出u?! D上畫著什么?“樹上有一只烏鴉?!睘貘f的“烏”就是u。  2、教學u的發(fā)音,認清字形?! 。?)發(fā)音要領:發(fā)音時把嘴唇收攏,嘴唇比發(fā)o時更圓更小,舌尖后縮,舌根抬高,讓氣從小洞中出來。 ?。?)教師范讀,領讀。 ?。?)記憶字形?! 】捎庙樋诹铮骸跋裰徊璞璾、u、u?!薄 ?、書寫指導:u一筆寫成?! ∷?、 鞏固復習。

  • 二元一次方程組教案教學設計

    二元一次方程組教案教學設計

    1、問題1的設計基于學生已有的一元一次方程的知識,學生獨立思考問題,同學會考慮到題中涉及到等量關系,從中抽象出一元一次方程模型;同學可能想不到用方程的方法解決,可以由組長帶領進行討論探究.2、問題2的設計為了引出二元一次方程,但由于同學的知識有限,可能有個別同學會設兩個未知數(shù),列出二元一次方程;如果沒有生列二元一次方程,教師可引導學生分析題目中有兩個未知量,我們可設兩個未知數(shù)列方程,再次從中抽象出方程模型.根據(jù)方程特點讓生給方程起名,提高學生學習興趣.3、定義的歸納,先請同學們觀察所列的方程,找出它們的共同點,并用自己的語言描述,組內交流看法;如果學生概括的不完善,請其他同學補充. 交流完善給出定義,教師規(guī)范定義.

  • 北師大初中數(shù)學九年級上冊比例的性質2教案

    北師大初中數(shù)學九年級上冊比例的性質2教案

    請寫出 推理過程:∵ ,在兩邊同時加上1得, + = + .兩邊分別通分得: 思考:請仿照上面的方法,證明“如果 ,那么 ”.(3) 等比性質:猜想 ( ),與 相等嗎?能 否證明你的猜想?(引導學生從上述實例中找出證明方法)等比性質:如果 ( ),那么 = .思考:等比性質中,為什么要 這個條件?三、 鞏固練習:1.在相同時刻的物高與影長成比例,如果一建筑在地面上影長為50米,高為1.5米的測竿的影長為2.5米 ,那么,該建筑的高是多少米?2.若 則 3.若 ,則 四、 本課小結:1.比例的基本性質:a:b=c:d ;2. 合比性質:如果 ,那么 ;3. 等比性質:如果 ( ),五、 布置作業(yè):課本習題4.2

  • 北師大初中數(shù)學九年級上冊比例的性質1教案

    北師大初中數(shù)學九年級上冊比例的性質1教案

    若a,b,c都是不等于零的數(shù),且a+bc=b+ca=c+ab=k,求k的值.解:當a+b+c≠0時,由a+bc=b+ca=c+ab=k,得a+b+b+c+c+aa+b+c=k,則k=2(a+b+c)a+b+c=2;當a+b+c=0時,則有a+b=-c.此時k=a+bc=-cc=-1.綜上所述,k的值是2或-1.易錯提醒:運用等比性質的條件是分母之和不等于0,往往忽視這一隱含條件而出錯.本題題目中并沒有交代a+b+c≠0,所以應分兩種情況討論,容易出現(xiàn)的錯誤是忽略討論a+b+c=0這種情況.三、板書設計比例的性質基本性質:如果ab=cd,那么ad=bc如果ad=bc(a,b,c,d都不等于0),那么ab=cd等比性質:如果ab=cd=…=mn(b+d+…+n≠0),   那么a+c+…+mb+d+…+n=ab經(jīng)歷比例的性質的探索過程,體會類比的思想,提高學生探究、歸納的能力.通過問題情境的創(chuàng)設和解決過程進一步體會數(shù)學與生活的緊密聯(lián)系,體會數(shù)學的思維方式,增強學習數(shù)學的興趣.

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