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傾斜角與斜率教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
(2)l的傾斜角為90°,即l平行于y軸,所以m+1=2m,得m=1.延伸探究1 本例條件不變,試求直線l的傾斜角為銳角時(shí)實(shí)數(shù)m的取值范圍.解:由題意知(m"-" 1"-" 1)/(m+1"-" 2m)>0,解得1<m<2.延伸探究2 若將本例中的“N(2m,1)”改為“N(3m,2m)”,其他條件不變,結(jié)果如何?解:(1)由題意知(m"-" 1"-" 2m)/(m+1"-" 3m)=1,解得m=2.(2)由題意知m+1=3m,解得m=1/2.直線斜率的計(jì)算方法(1)判斷兩點(diǎn)的橫坐標(biāo)是否相等,若相等,則直線的斜率不存在.(2)若兩點(diǎn)的橫坐標(biāo)不相等,則可以用斜率公式k=(y_2 "-" y_1)/(x_2 "-" x_1 )(其中x1≠x2)進(jìn)行計(jì)算.金題典例 光線從點(diǎn)A(2,1)射到y(tǒng)軸上的點(diǎn)Q,經(jīng)y軸反射后過(guò)點(diǎn)B(4,3),試求點(diǎn)Q的坐標(biāo)及入射光線的斜率.解:(方法1)設(shè)Q(0,y),則由題意得kQA=-kQB.∵kQA=(1"-" y)/2,kQB=(3"-" y)/4,∴(1"-" y)/2=-(3"-" y)/4.解得y=5/3,即點(diǎn)Q的坐標(biāo)為 0,5/3 ,∴k入=kQA=(1"-" y)/2=-1/3.(方法2)設(shè)Q(0,y),如圖,點(diǎn)B(4,3)關(guān)于y軸的對(duì)稱點(diǎn)為B'(-4,3), kAB'=(1"-" 3)/(2+4)=-1/3,由題意得,A、Q、B'三點(diǎn)共線.從而入射光線的斜率為kAQ=kAB'=-1/3.所以,有(1"-" y)/2=(1"-" 3)/(2+4),解得y=5/3,點(diǎn)Q的坐標(biāo)為(0,5/3).
兩條平行線間的距離教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
一、情境導(dǎo)學(xué)前面我們已經(jīng)得到了兩點(diǎn)間的距離公式，點(diǎn)到直線的距離公式，關(guān)于平面上的距離問(wèn)題，兩條直線間的距離也是值得研究的。思考1：立定跳遠(yuǎn)測(cè)量的什么距離？A.兩平行線的距離 B.點(diǎn)到直線的距離 C. 點(diǎn)到點(diǎn)的距離二、探究新知思考2：已知兩條平行直線l_1,l_2的方程，如何求l_1 〖與l〗_2間的距離？根據(jù)兩條平行直線間距離的含義，在直線l_1上取任一點(diǎn)P（x_0,y_0 ），,點(diǎn)P（x_0,y_0 ）到直線l_2的距離就是直線l_1與直線l_2間的距離，這樣求兩條平行線間的距離就轉(zhuǎn)化為求點(diǎn)到直線的距離。兩條平行直線間的距離1. 定義：夾在兩平行線間的__________的長(zhǎng).公垂線段2. 圖示： 3. 求法：轉(zhuǎn)化為點(diǎn)到直線的距離.1．原點(diǎn)到直線x＋2y－5＝0的距離是( )A．2 B．3 C．2 D．5D [d＝|－5|12＋22＝5.選D.]
兩直線的交點(diǎn)坐標(biāo)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
1.直線2x+y+8=0和直線x+y-1=0的交點(diǎn)坐標(biāo)是( )A.(-9,-10) B.(-9,10) C.(9,10) D.(9,-10)解析:解方程組{■(2x+y+8=0"," @x+y"-" 1=0"," )┤得{■(x="-" 9"," @y=10"," )┤即交點(diǎn)坐標(biāo)是(-9,10).答案:B 2.直線2x+3y-k=0和直線x-ky+12=0的交點(diǎn)在x軸上,則k的值為( )A.-24 B.24 C.6 D.± 6解析:∵直線2x+3y-k=0和直線x-ky+12=0的交點(diǎn)在x軸上,可設(shè)交點(diǎn)坐標(biāo)為(a,0),∴{■(2a"-" k=0"," @a+12=0"," )┤解得{■(a="-" 12"," @k="-" 24"," )┤故選A.答案:A 3.已知直線l1:ax+y-6=0與l2:x+(a-2)y+a-1=0相交于點(diǎn)P,若l1⊥l2,則點(diǎn)P的坐標(biāo)為 . 解析:∵直線l1:ax+y-6=0與l2:x+(a-2)y+a-1=0相交于點(diǎn)P,且l1⊥l2,∴a×1+1×(a-2)=0,解得a=1,聯(lián)立方程{■(x+y"-" 6=0"," @x"-" y=0"," )┤易得x=3,y=3,∴點(diǎn)P的坐標(biāo)為(3,3).答案:(3,3) 4.求證:不論m為何值,直線(m-1)x+(2m-1)y=m-5都通過(guò)一定點(diǎn). 證明:將原方程按m的降冪排列,整理得(x+2y-1)m-(x+y-5)=0,此式對(duì)于m的任意實(shí)數(shù)值都成立,根據(jù)恒等式的要求,m的一次項(xiàng)系數(shù)與常數(shù)項(xiàng)均等于零,故有{■(x+2y"-" 1=0"," @x+y"-" 5=0"," )┤解得{■(x=9"," @y="-" 4"." )┤
圓與圓的位置關(guān)系教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
1.兩圓x2+y2-1=0和x2+y2-4x+2y-4=0的位置關(guān)系是( )A.內(nèi)切 B.相交 C.外切 D.外離解析:圓x2+y2-1=0表示以O(shè)1(0,0)點(diǎn)為圓心,以R1=1為半徑的圓.圓x2+y2-4x+2y-4=0表示以O(shè)2(2,-1)點(diǎn)為圓心,以R2=3為半徑的圓.∵|O1O2|=√5,∴R2-R1<|O1O2|<R2+R1,∴圓x2+y2-1=0和圓x2+y2-4x+2y-4=0相交.答案:B2.圓C1:x2+y2-12x-2y-13=0和圓C2:x2+y2+12x+16y-25=0的公共弦所在的直線方程是 . 解析:兩圓的方程相減得公共弦所在的直線方程為4x+3y-2=0.答案:4x+3y-2=03.半徑為6的圓與x軸相切,且與圓x2+(y-3)2=1內(nèi)切,則此圓的方程為( )A.(x-4)2+(y-6)2=16 B.(x±4)2+(y-6)2=16C.(x-4)2+(y-6)2=36 D.(x±4)2+(y-6)2=36解析:設(shè)所求圓心坐標(biāo)為(a,b),則|b|=6.由題意,得a2+(b-3)2=(6-1)2=25.若b=6,則a=±4;若b=-6,則a無(wú)解.故所求圓方程為(x±4)2+(y-6)2=36.答案:D4.若圓C1:x2+y2=4與圓C2:x2+y2-2ax+a2-1=0內(nèi)切,則a等于 . 解析:圓C1的圓心C1(0,0),半徑r1=2.圓C2可化為(x-a)2+y2=1,即圓心C2(a,0),半徑r2=1,若兩圓內(nèi)切,需|C1C2|=√(a^2+0^2 )=2-1=1.解得a=±1. 答案:±1 5. 已知兩個(gè)圓C1:x2+y2=4,C2:x2+y2-2x-4y+4=0,直線l:x+2y=0,求經(jīng)過(guò)C1和C2的交點(diǎn)且和l相切的圓的方程.解:設(shè)所求圓的方程為x2+y2+4-2x-4y+λ(x2+y2-4)=0,即(1+λ)x2+(1+λ)y2-2x-4y+4(1-λ)=0.所以圓心為 1/(1+λ),2/(1+λ) ,半徑為1/2 √((("-" 2)/(1+λ)) ^2+(("-" 4)/(1+λ)) ^2 "-" 16((1"-" λ)/(1+λ))),即|1/(1+λ)+4/(1+λ)|/√5=1/2 √((4+16"-" 16"(" 1"-" λ^2 ")" )/("(" 1+λ")" ^2 )).解得λ=±1,舍去λ=-1,圓x2+y2=4顯然不符合題意,故所求圓的方程為x2+y2-x-2y=0.
直線與圓的位置關(guān)系教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
切線方程的求法1.求過(guò)圓上一點(diǎn)P(x0,y0)的圓的切線方程:先求切點(diǎn)與圓心連線的斜率k,則由垂直關(guān)系,切線斜率為-1/k,由點(diǎn)斜式方程可求得切線方程.若k=0或斜率不存在,則由圖形可直接得切線方程為y=b或x=a.2.求過(guò)圓外一點(diǎn)P(x0,y0)的圓的切線時(shí),常用幾何方法求解設(shè)切線方程為y-y0=k(x-x0),即kx-y-kx0+y0=0,由圓心到直線的距離等于半徑,可求得k,進(jìn)而切線方程即可求出.但要注意,此時(shí)的切線有兩條,若求出的k值只有一個(gè)時(shí),則另一條切線的斜率一定不存在,可通過(guò)數(shù)形結(jié)合求出.例3 求直線l:3x+y-6=0被圓C:x2+y2-2y-4=0截得的弦長(zhǎng).思路分析:解法一求出直線與圓的交點(diǎn)坐標(biāo),解法二利用弦長(zhǎng)公式,解法三利用幾何法作出直角三角形,三種解法都可求得弦長(zhǎng).解法一由{■(3x+y"-" 6=0"," @x^2+y^2 "-" 2y"-" 4=0"," )┤得交點(diǎn)A(1,3),B(2,0),故弦AB的長(zhǎng)為|AB|=√("(" 2"-" 1")" ^2+"(" 0"-" 3")" ^2 )=√10.解法二由{■(3x+y"-" 6=0"," @x^2+y^2 "-" 2y"-" 4=0"," )┤消去y,得x2-3x+2=0.設(shè)兩交點(diǎn)A,B的坐標(biāo)分別為A(x1,y1),B(x2,y2),則由根與系數(shù)的關(guān)系,得x1+x2=3,x1·x2=2.∴|AB|=√("(" x_2 "-" x_1 ")" ^2+"(" y_2 "-" y_1 ")" ^2 )=√(10"[(" x_1+x_2 ")" ^2 "-" 4x_1 x_2 "]" ┴" " )=√(10×"(" 3^2 "-" 4×2")" )=√10,即弦AB的長(zhǎng)為√10.解法三圓C:x2+y2-2y-4=0可化為x2+(y-1)2=5,其圓心坐標(biāo)(0,1),半徑r=√5,點(diǎn)(0,1)到直線l的距離為d=("|" 3×0+1"-" 6"|" )/√(3^2+1^2 )=√10/2,所以半弦長(zhǎng)為("|" AB"|" )/2=√(r^2 "-" d^2 )=√("(" √5 ")" ^2 "-" (√10/2) ^2 )=√10/2,所以弦長(zhǎng)|AB|=√10.
新人教版高中英語(yǔ)必修1Unit 3 Sports and Fitness-Reading for Writing教案
Then have them write a short paragraph to describe and explain their changes. After that, get the Ss to exchange their drafts with their partners and use the checklist to give feedback on their drafts, and finally revise it.Step 5 Summary of how to write a wellness book1.健康書(shū)的審題步驟：第一步：明確要求該寫(xiě)作屬于經(jīng)驗(yàn)分享，故要用第一人稱來(lái)寫(xiě);時(shí)態(tài)以一股現(xiàn)在時(shí)為主。第二步：確定段落該類(lèi)文章可以從以下三個(gè)方面人手:Para.1首先表明寫(xiě)作的目的Para.2自己的做法及心得體會(huì)Para.3表示期望及感謝第三步：提煉要點(diǎn)2.健康書(shū)常見(jiàn)句式：1) It is an honor for me to share my favorite sport with you,2) It makes me feel relaxed playing with my friends.3) It makes me rid myself of stress while playing with my friends.4) Moreover, it provides me a valuable chance to communicate with others.5) I we eat too little or too much, or if we choose the wrong food, we may become sick.6) We can do something to change the poor situation.Step 6Homework假如你的老師讓你在班級(jí)Wellness Bok上分享自己的親身經(jīng)歷及心得，請(qǐng)根據(jù)以下要點(diǎn)寫(xiě)一篇80字左右的文章1. 你喜歡的運(yùn)動(dòng)是什么？2. 你最喜歡的原因是什么？3. 你參加鍛煉的體會(huì)。
人教版高中英語(yǔ)必修1English around the world說(shuō)課稿
(3)v. 給：提出；展現(xiàn)，顯現(xiàn)present sb. with sth. ; present sth. to sb. 把. . 交給；頒發(fā)；授予present sth. (for sth. )/present sth. to sb. e. g. Om his birthday, his friends presented him a collection of stamps. 在他生日時(shí)，他的朋友們送給他一套郵票作為禮物。The sword was presented by the family to the museum. 這家人把寶劍捐贈(zèng)給了博物館。The committee will present the final report to Parliament in June. 委員會(huì)將在六月向議會(huì)提交最后的報(bào)告。You need to present yourself better. 你需要更善于展現(xiàn)自己。It is essential that we present a united front. 至關(guān)重要的是我們要表現(xiàn)得更加團(tuán)結(jié)。Step 4 ConsolidationT:Now that we have got a general idea of these words and phrases. Lets make up some sentences using them to master them. Suggested sentences:1. Your duties include typing letters and answering the telephone. 2. It is one of the greatest roles that she has played. 3. A large number of people have applied for the job. 4. The number of the panda is declining. 5. I'11 go there, even if I have to walk. 6. He came up to me to ask for a light. 7. The novel is about a family who can't communicate with each other. 8. He based his plan on interests of most people. 9. Why doesn't he make use of his singing talent?Step 5 Summary and homeworkT:Today we dealt with several new words and phrases. After class I hope that youcan read them again and again to keep them in mind. That's all for today. You aredismissed.
人教版高中英語(yǔ)必修2The Olympic Games說(shuō)課稿2篇
Purpose of my design:To ask the students to do these two tasks will make the Ss predict the story of this passage. As a result, it will deepen Ss’ memory of this story because they will have their own understanding of this story.Step 3. While-readingTask 1. (Individual work _____min)Skimming: ask students to skim the text and the main ideas of each paragraph in this passage. Please read it quickly and then match the sentences with the letters.Task 2. (Individual work _____min)Scanning: read the text quickly and decide the whether the following statements are true or false and give reasons.Task 3. (Pair work _____min)Listen to the tape and fill in the banks. Then read the paragraph with expression to your partner.Task4 (individual work min)Listen to the tape again and write down the main idea in one sentence.Purpose of my design: Enable students to understand the given material better by using different reading skills. And proper competition can arouse the Ss’ interest in English learning. “Task-based” teaching method is used here todevelop the Ss’ ability of communication and also their ability of co-operation will be well trainedStep 4. Post-readingTask 1. (Individual work, pair work, group work, class work; _____min)Discussion (group of 4):1. If you were Hippomenes, would you run against Atlanta?2. Do you think Hippomenes deserved to win the race? Why or why not?Step 5. HomeworkPlease read the story again carefully after class and imagine: What will happen during the race between Hippomenes and Atlanta? Who do you think will win the race? Do you think Atlanta would marry Hippomenes? Write an end for the story with thses questions.Purpose of my design: Homework is so important and necessary for to master the knowledge they learned after class. It will check whether the Ss achieve the teaching aims.Part 5 Blackboard design
人教版高中英語(yǔ)必修1Journey Down the Mekong說(shuō)課稿
2. let the Ss complete the forms paragraph by paragraph. Purpose here is to help Ss to get the habit of reading a passage as a whole, and pay attention to the organization of the text, as a result the Ss will fully understand the whole passage.3. ask Ss to retell the passage with the help of the key words in the form.Since the Ss in the class are in different levels, so I let them to fill in the blank to understand the meaning of the words and phrases better. ( That’s all for the while-reading. Now let’s move to the fifth step.)Step V: Post-reading (10mins) ---DiscussionIn this part students are asked to discuss in groups and list Wang Kun’s and Wang Wei’s attitudes about the trip. After that, Ss are encouraged to express their attitudes with the whole class. Collect their answers and don’t forget to praise them even if their answers may not be perfect.In this activity, discussion provides a vivid and active learning environment for Ss to communicate in English with newly learned language items. (Finally it comes to the homework.)StepⅥ: Homework (1min)1. Ss are required to read the text again after class and figure out the meaning of some complex sentences.2. Do the exercises on P19; This can help Ss to consolidate what they’ve learnt and make preparation for the next lessonPart4. Blackboard design.（說(shuō)板書(shū)設(shè)計(jì)）On the top, there is the title of this lesson. On the left, there are main ideas for each paragraph. On the right, there are some new words and expressions.Unit 3 Travel journalJourney down the MekongMain idea of each para.:Para1: deciding to take a great bike trip along the Mekong river.Para2: Different attitudes between Wang kun and Wang wei.
人教版新課標(biāo)PEP小學(xué)英語(yǔ)三年級(jí)上冊(cè)Look at me教案（全英文版）
３、Practicea. Nice to meet you. Nice to meet you,too.b. Perform the dialogue.c. Arrange the dialogue according to the pictures or sentence cards.d. Let’s play.A: Good afternoon,B. This is C. Hello, C! Nice to meet you.C: Nice to meet you, too.A,B: Goodbye!C: Bye!４、Assessment Workbook page 10Add-activitiesa. Listen to the recording and repeat.b. Make a dialogue according to "Let’s talk".Second Period一、Teaching contents1. Let’s learn Words：body, leg, arm, hand, finger, foot.1. Let’s do二、Preparation１、a puppet２、Cards of body, leg, arm, hand, finger and foot.３、headgear of a captain三、Teaching steps１、Warm-up/ Revisiona. Captain says to review "let’s do" of Part A.b. Perform the students their own dialogues.２、Presentationa. Learn to say "body, leg, arm, hand, finger and foot."b. Listen to the recording and repeat.c. Let’s do. Clap your hands. Snap your fingers. Wave your arms. Cross your legs. Shake your body. Stamp your foot.３、Practicea. Let’s draw a person.b. Let’s do. Point out which picture.c. Let’s do. Who responses faster.４、Assessment Workbook page 11５、Add-activitiesa. Listen to the recording, repeat and act out.b. Say all the names of the body to your parents.Third Period一、Teaching contents1. Let’s check2. Let’s chant二、Preparation１、stationeries１、pictures of parts of Zoom
人教版新課標(biāo)PEP小學(xué)英語(yǔ)三年級(jí)上冊(cè)Happy Birthday（全英文版）說(shuō)課稿
1. Do some exercise on the paper. There are four kinds of exercise here. The exercise 1 is to develop Ss’ ability of listening. Exercise 2 is to practice Ss’ ability of knowing the words. Exercise 3 is to develop Ss’ ability of speaking numbers and letters. Exercise 4 is to make Ss know the words and letters well. These exercises can consolidate the new knowledge from different styles of problems.2. Then tell Ss that we can sing the numbers like “ Do, re, mi, fa, so, la, ti, do” and let them listen to a song named “Do, Re, Mi”. Add some extra knowledge so that Ss will be glad to see that the numbers can be used in another way.Step 4 Homework1.Read the numbers from 1 to 7 and 7 to 1 five times.2.Read the letters “u, v, w” five times follow the tape.Reading is a useful way for the Ss of Grade One to practice the knowledge. Ask Ss to imitate reading from the tape in order to make Ss have a good habit of listening and let them have a better pronunciation.Step 5 Board writingI ‘ll put the seven numbers like a scale(音階)as I’ll let Ss know that we can sing out the numbers. When it comes to listen to the song, I ‘ll draw a musical note on Bb. Unit 9 Happy birthday!sevensixfivefourthree U u V v W wtwo pupil five windowoneThat’s all for my class designing. Thank you for listening!
一元一次方程教案教學(xué)設(shè)計(jì)
1、方程的定義1)像這種用等號(hào)“=”來(lái)表示相等關(guān)系的式子，叫等式。(老師給出定義。）2)請(qǐng)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(wèn)題。）3）列方程時(shí)，要先設(shè)字母表示未知數(shù)，然后根據(jù)問(wèn)題中的相等關(guān)系，寫(xiě)出含有未知數(shù)的等式叫做方程。（學(xué)生思考后，老師給出新學(xué)內(nèi)容方程的定義。）4）判斷方程的兩個(gè)關(guān)鍵要素： ①有未知數(shù) ②是等式（老師提問(wèn)，并給出。）
【高教版】中職數(shù)學(xué)拓展模塊：3.5《正態(tài)分布》教學(xué)設(shè)計(jì)
教學(xué)目的：理解并熟練掌握正態(tài)分布的密度函數(shù)、分布函數(shù)、數(shù)字特征及線性性質(zhì)。教學(xué)重點(diǎn)：正態(tài)分布的密度函數(shù)和分布函數(shù)。教學(xué)難點(diǎn)：正態(tài)分布密度曲線的特征及正態(tài)分布的線性性質(zhì)。教學(xué)學(xué)時(shí)：2學(xué)時(shí)教學(xué)過(guò)程:第四章 正態(tài)分布§4.1 正態(tài)分布的概率密度與分布函數(shù)在討論正態(tài)分布之前，我們先計(jì)算積分。首先計(jì)算。因?yàn)?利用極坐標(biāo)計(jì)算)所以。記，則利用定積分的換元法有因?yàn)椋运梢宰鳛槟硞€(gè)連續(xù)隨機(jī)變量的概率密度函數(shù)。定義 如果連續(xù)隨機(jī)變量的概率密度為則稱隨機(jī)變量服從正態(tài)分布,記作,其中是正態(tài)分布的參數(shù)。正態(tài)分布也稱為高斯（Gauss）分布。
【高教版】中職數(shù)學(xué)拓展模塊：2.1《橢圓》優(yōu)秀教學(xué)設(shè)計(jì)
本人所教的兩個(gè)班級(jí)學(xué)生普遍存在著數(shù)學(xué)科基礎(chǔ)知識(shí)較為薄弱，計(jì)算能力較差，綜合能力不強(qiáng)，對(duì)數(shù)學(xué)學(xué)習(xí)有一定的困難。在課堂上的主體作用的體現(xiàn)不是太充分，但是他們能意識(shí)到自己的不足，對(duì)數(shù)學(xué)課的學(xué)習(xí)興趣高，積極性強(qiáng)。 學(xué)生在學(xué)習(xí)交往上表現(xiàn)為個(gè)別化學(xué)習(xí)，課堂上較為依賴?yán)蠋煹囊龑?dǎo)。學(xué)生的群體性小組交流能力與協(xié)同討論學(xué)習(xí)的能力不強(qiáng)，對(duì)學(xué)習(xí)資源和知識(shí)信息的獲取、加工、處理和綜合的能力較低。在教學(xué)中盡量分析細(xì)致，減少跨度較大的環(huán)節(jié)，對(duì)重要的推導(dǎo)過(guò)程采用板書(shū)方式逐步進(jìn)行，力求讓絕大多數(shù)學(xué)生接受。 1.理解橢圓標(biāo)準(zhǔn)方程的推導(dǎo)；掌握橢圓的標(biāo)準(zhǔn)方程；會(huì)根據(jù)條件求橢圓的標(biāo)準(zhǔn)方程，會(huì)根據(jù)橢圓的標(biāo)準(zhǔn)方程求焦點(diǎn)坐標(biāo). 2.通過(guò)橢圓圖形的研究和標(biāo)準(zhǔn)方程的討論，使學(xué)生掌握橢圓的幾何性質(zhì)，能正確地畫(huà)出橢圓的圖形，并了解橢圓的一些實(shí)際應(yīng)用。 1.讓學(xué)生經(jīng)歷橢圓標(biāo)準(zhǔn)方程的推導(dǎo)過(guò)程，進(jìn)一步掌握求曲線方程的一般方法，體會(huì)數(shù)形結(jié)合等數(shù)學(xué)思想；培養(yǎng)學(xué)生運(yùn)用類(lèi)比、聯(lián)想等方法提出問(wèn)題. 2.培養(yǎng)學(xué)生運(yùn)用數(shù)形結(jié)合的思想，進(jìn)一步掌握利用方程研究曲線的基本方法，通過(guò)與橢圓幾何性質(zhì)的對(duì)比來(lái)提高學(xué)生聯(lián)想、類(lèi)比、歸納的能力，解決一些實(shí)際問(wèn)題。 1.通過(guò)具體的情境感知研究橢圓標(biāo)準(zhǔn)方程的必要性和實(shí)際意義；體會(huì)數(shù)學(xué)的對(duì)稱美、簡(jiǎn)潔美，培養(yǎng)學(xué)生的審美情趣，形成學(xué)習(xí)數(shù)學(xué)知識(shí)的積極態(tài)度. 2.進(jìn)一步理解并掌握代數(shù)知識(shí)在解析幾何運(yùn)算中的作用，提高解方程組和計(jì)算能力，通過(guò)“數(shù)”研究“形”，說(shuō)明“數(shù)”與“形”存在矛盾的統(tǒng)一體中，通過(guò)“數(shù)”的變化研究“形”的本質(zhì)。幫助學(xué)生建立勇于探索創(chuàng)新的精神和克服困難的信心。
【高教版】中職數(shù)學(xué)拓展模塊：2.3《拋物線》教學(xué)設(shè)計(jì)
一、教學(xué)目標(biāo)(一)知識(shí)教育點(diǎn)使學(xué)生掌握拋物線的定義、拋物線的標(biāo)準(zhǔn)方程及其推導(dǎo)過(guò)程．(二)能力訓(xùn)練點(diǎn)要求學(xué)生進(jìn)一步熟練掌握解析幾何的基本思想方法，提高分析、對(duì)比、概括、轉(zhuǎn)化等方面的能力．(三)學(xué)科滲透點(diǎn)通過(guò)一個(gè)簡(jiǎn)單實(shí)驗(yàn)引入拋物線的定義，可以對(duì)學(xué)生進(jìn)行理論來(lái)源于實(shí)踐的辯證唯物主義思想教育．二、教材分析1．重點(diǎn)：拋物線的定義和標(biāo)準(zhǔn)方程．2．難點(diǎn)：拋物線的標(biāo)準(zhǔn)方程的推導(dǎo)．三、活動(dòng)設(shè)計(jì)提問(wèn)、回顧、實(shí)驗(yàn)、講解、板演、歸納表格．四、教學(xué)過(guò)程(一)導(dǎo)出課題我們已學(xué)習(xí)了圓、橢圓、雙曲線三種圓錐曲線．今天我們將學(xué)習(xí)第四種圓錐曲線——拋物線，以及它的定義和標(biāo)準(zhǔn)方程．課題是“拋物線及其標(biāo)準(zhǔn)方程”．首先，利用籃球和排球的運(yùn)動(dòng)軌跡給出拋物線的實(shí)際意義，再利用太陽(yáng)灶和拋物線型的橋說(shuō)明拋物線的實(shí)際用途。
【高教版】中職數(shù)學(xué)拓展模塊：2.2《雙曲線》教學(xué)設(shè)計(jì)
教學(xué)準(zhǔn)備 1. 教學(xué)目標(biāo) 知識(shí)與技能掌握雙曲線的定義，掌握雙曲線的四種標(biāo)準(zhǔn)方程形式及其對(duì)應(yīng)的焦點(diǎn)、準(zhǔn)線．過(guò)程與方法掌握對(duì)雙曲線標(biāo)準(zhǔn)方程的推導(dǎo)，進(jìn)一步理解求曲線方程的方法——坐標(biāo)法．通過(guò)本節(jié)課的學(xué)習(xí)，提高學(xué)生觀察、類(lèi)比、分析和概括的能力．情感、態(tài)度與價(jià)值觀通過(guò)本節(jié)的學(xué)習(xí)，體驗(yàn)研究解析幾何的基本思想，感受圓錐曲線在刻畫(huà)現(xiàn)實(shí)和解決實(shí)際問(wèn)題中的作用，進(jìn)一步體會(huì)數(shù)形結(jié)合的思想．2. 教學(xué)重點(diǎn)/難點(diǎn) 教學(xué)重點(diǎn)雙曲線的定義及焦點(diǎn)及雙曲線標(biāo)準(zhǔn)方程．教學(xué)難點(diǎn)在推導(dǎo)雙曲線標(biāo)準(zhǔn)方程的過(guò)程中，如何選擇適當(dāng)?shù)淖鴺?biāo)系． 3. 教學(xué)用具 多媒體4. 標(biāo)簽
高教版中職數(shù)學(xué)基礎(chǔ)模塊下冊(cè)：8.4《圓》教學(xué)設(shè)計(jì)
教 學(xué) 過(guò) 程教師 行為學(xué)生 行為教學(xué) 意圖時(shí)間 *揭示課題 8．4 圓（二） *創(chuàng)設(shè)情境 興趣導(dǎo)入 【知識(shí)回顧】 我們知道，平面內(nèi)直線與圓的位置關(guān)系有三種（如圖8-21）： （1）相離：無(wú)交點(diǎn)； （2）相切：僅有一個(gè)交點(diǎn)； （3）相交：有兩個(gè)交點(diǎn)． 并且知道，直線與圓的位置關(guān)系，可以由圓心到直線的距離d與半徑r的關(guān)系來(lái)判別（如圖8-22）： （1）：直線與圓相離； （2）：直線與圓相切； （3）：直線與圓相交. 介紹 講解 說(shuō)明 質(zhì)疑 引導(dǎo) 分析 了解 思考 思考 帶領(lǐng) 學(xué)生 分析 啟發(fā) 學(xué)生思考 0 15*動(dòng)腦思考 探索新知 【新知識(shí)】 設(shè)圓的標(biāo)準(zhǔn)方程為 ， 則圓心C(a，b)到直線的距離為 ． 比較d與r的大小，就可以判斷直線與圓的位置關(guān)系． 講解 說(shuō)明 引領(lǐng) 分析 思考 理解 帶領(lǐng) 學(xué)生 分析 30*鞏固知識(shí) 典型例題 【知識(shí)鞏固】 例6 判斷下列各直線與圓的位置關(guān)系： ⑴直線, 圓； ⑵直線,圓． 解?、?由方程知，圓C的半徑，圓心為． 圓心C到直線的距離為 , 由于，故直線與圓相交． ⑵ 將方程化成圓的標(biāo)準(zhǔn)方程，得 ． 因此，圓心為，半徑．圓心C到直線的距離為 , 即由于，所以直線與圓相交． 【想一想】 你是否可以找到判斷直線與圓的位置關(guān)系的其他方法？ *例7 過(guò)點(diǎn)作圓的切線，試求切線方程． 分析 求切線方程的關(guān)鍵是求出切線的斜率．可以利用原點(diǎn)到切線的距離等于半徑的條件來(lái)確定． 解 設(shè)所求切線的斜率為，則切線方程為 ， 即 ． 圓的標(biāo)準(zhǔn)方程為 ， 所以圓心，半徑． 圖8－23 圓心到切線的距離為 ， 由于圓心到切線的距離與半徑相等，所以 ， 解得 ． 故所求切線方程（如圖8-23）為 ， 即 或． 說(shuō)明 例題7中所使用的方法是待定系數(shù)法，在利用代數(shù)方法研究幾何問(wèn)題中有著廣泛的應(yīng)用． 【想一想】 能否利用“切線垂直于過(guò)切點(diǎn)的半徑”的幾何性質(zhì)求出切線方程？ 說(shuō)明 強(qiáng)調(diào) 引領(lǐng) 講解 說(shuō)明 引領(lǐng) 講解 說(shuō)明 觀察 思考 主動(dòng) 求解 思考 主動(dòng) 求解 通過(guò)例題進(jìn)一步領(lǐng)會(huì) 注意 觀察 學(xué)生 是否 理解 知識(shí) 點(diǎn) 50
統(tǒng)編版三年級(jí)語(yǔ)文上第25課灰雀教學(xué)設(shè)計(jì)教案
《秋天的雨》是統(tǒng)編版教材三年級(jí)語(yǔ)文上冊(cè)第八單元的一篇精讀課文，課文講述了列寧、灰雀和一個(gè)孩子之間的故事。這個(gè)故事表達(dá)了列寧善解人意，對(duì)男孩的敬重、保護(hù)以及男孩的老實(shí)和天真。通過(guò)語(yǔ)言和行動(dòng)來(lái)揭示人物的內(nèi)心世界，展現(xiàn)事件的開(kāi)展進(jìn)程，是本篇課文在表達(dá)上的主要特點(diǎn)。在學(xué)習(xí)時(shí)，可以對(duì)話為重點(diǎn)，研讀課文，通過(guò)閱讀人物對(duì)話，揣摩體會(huì)人物不同的心情，感受列寧愛(ài)鳥(niǎo)更愛(ài)孩子的情感，懂得知錯(cuò)就改是誠(chéng)實(shí)的表現(xiàn)，同時(shí)產(chǎn)生保護(hù)鳥(niǎo)類(lèi)等動(dòng)物的環(huán)保意識(shí)。 1.會(huì)認(rèn)“寧、胸”等10個(gè)生字，會(huì)寫(xiě)“郊、養(yǎng)”等13個(gè)生字。2.分角色朗讀課文，讀出對(duì)話的語(yǔ)氣。3.帶著問(wèn)題，邊默讀邊推敲人物的內(nèi)心想法，體會(huì)列寧對(duì)男孩的尊重和呵護(hù)、男孩的誠(chéng)實(shí)與天真。4.體會(huì)列寧的善解人意、循循善誘和對(duì)兒童的愛(ài)護(hù)，懂得做錯(cuò)事情應(yīng)該改正的道理，同時(shí)教育學(xué)生要愛(ài)護(hù)動(dòng)物。 1.教學(xué)重點(diǎn)：通過(guò)朗讀對(duì)話體會(huì)列寧、小男孩心理變化的過(guò)程。2.教學(xué)難點(diǎn)：能帶著問(wèn)題，邊默讀邊揣摩人物內(nèi)心的想法。能體會(huì)列寧對(duì)男孩的尊重與呵護(hù)、男孩的誠(chéng)實(shí)與天真。 2課時(shí)
初中語(yǔ)文?？汲Ｒ?jiàn)的別詞、別字教案教學(xué)設(shè)計(jì)
1、三年的汗水，終于有了回報(bào)。站在領(lǐng)獎(jiǎng)臺(tái)上，她興奮得不能自己，淚水刷刷地流了下來(lái)。誤：不能自己 正：不能自已[bù néng zì yǐ] 2、燈光下面，人頭攢動(dòng)。這條街上陳列的，其實(shí)大都是膺品，但還是熱鬧非凡。誤：膺品 正：贗品[yàn pǐn]3、待學(xué)生從農(nóng)村基地回來(lái)時(shí)，校舍已修茸一新，三幢大樓披上了節(jié)日的盛裝。誤：修茸 正：修葺[xiū qì] 4、埋伏在左側(cè)的三連，聽(tīng)到?jīng)_鋒號(hào)響，尤如猛虎下山，直撲敵人陣地。誤：尤如猛虎下山 正：猶如猛虎下山[yóu rú] 5、粗制濫造，哄抬市價(jià)，這種竭澤而魚(yú)的做法，最后必然會(huì)讓自己受到懲罰。誤：竭澤而魚(yú) 正：竭澤而漁[jié zé ér yú] 6、自從鋼琴熱掀起后，鋼琴教師身價(jià)倍增，一批“三腳貓”也混跡其中，濫芋充數(shù)。誤：濫芋充數(shù) 正：濫竽充數(shù)[làn yú chōng shù] 7、陽(yáng)光穿射而入，配著店堂排列得整整齊齊的書(shū)架，真是一個(gè)書(shū)香花香陽(yáng)光普照的世外桃園。誤：世外桃園 正：世外桃源[shì wài táo yuán]8、在調(diào)查過(guò)程中，陳又將大批贓款轉(zhuǎn)移至岳父處，專案組找他談話時(shí)，他依舊裝得若無(wú)其事。誤：臟款 正：贓款[zāng kuǎn]
二元一次方程組教案教學(xué)設(shè)計(jì)
1、問(wèn)題1的設(shè)計(jì)基于學(xué)生已有的一元一次方程的知識(shí)，學(xué)生獨(dú)立思考問(wèn)題，同學(xué)會(huì)考慮到題中涉及到等量關(guān)系，從中抽象出一元一次方程模型；同學(xué)可能想不到用方程的方法解決，可以由組長(zhǎng)帶領(lǐng)進(jìn)行討論探究.2、問(wèn)題2的設(shè)計(jì)為了引出二元一次方程，但由于同學(xué)的知識(shí)有限，可能有個(gè)別同學(xué)會(huì)設(shè)兩個(gè)未知數(shù)，列出二元一次方程；如果沒(méi)有生列二元一次方程，教師可引導(dǎo)學(xué)生分析題目中有兩個(gè)未知量，我們可設(shè)兩個(gè)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(diǎn)讓生給方程起名，提高學(xué)生學(xué)習(xí)興趣.3、定義的歸納，先請(qǐng)同學(xué)們觀察所列的方程，找出它們的共同點(diǎn)，并用自己的語(yǔ)言描述，組內(nèi)交流看法；如果學(xué)生概括的不完善，請(qǐng)其他同學(xué)補(bǔ)充. 交流完善給出定義，教師規(guī)范定義.
