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高中思想政治人教版必修四《哲学史上的伟大变革活动探究型》教案
一、教材分析人教版高中思想政治必修4生活与哲学第一单元第三课第二框题《哲学史上的伟大变革》。本框主要内容有马克思主义哲学的产生和它的基本特征、马克思主义的中国化的三大理论成果。学习本框内容对学生来讲，将有助于他们正确认识马克思主义，运用马克思主义中国化的理论成果，分析解决遇到的社会问题。具有很强的现实指导意义。二、学情分析高二学生已经具备了一定的历史知识，思维能力有一定提高，思想活跃，处于世界观、人生观形成时期，对一些社会现象能主动思考，但尚需正确加以引导，激发学生学习马克思主义哲学的兴趣。三、教学目标1.马克思主义哲学产生的阶级基础、自然科学基础和理论来源,马克思主义哲学的基本特征。2.通过对马克思主义哲学的产生和基本特征的学习，培养学生鉴别理论是非的能力，进而运用马克思主义哲学的基本观点分析和解决生活实践中的问题。3.实践的观点是马克思主义哲学的首要和基本的观点，培养学生在实践中分析问题和解决问题的能力，进而培养学生在实践活动中的科学探索精神和革命批判精神。
新人教版高中英语必修2Unit 5 Music-Listening＆Speaking＆Talking教案
choir memberspeople to run food stands people to sell festival ticketspeople to sell music CDspeople to set up equipmentmusical performersStep 2: Listen to the announcement again and answer the questions. ? 1. What kind of songs will Grace Davis sing at the festival?? 2. Who can try out as a performer?? 3. What can those who think they do not have musical talent do?? 4. How can students volunteer to take part?? Talking about preferences:? Would you prefer doing ..?? What would you prefer to do?? Would you rather do .... or ….?? What would you rather do?? I'd prefer .... to ..? I'd rather have ... than .. Step 3: Speaking ProjectWork in groups. Role-play the conversation or make a new one.? Debbie: Where have you been? You missed the announcement about the music festival.? John: I was at the doctor's office. Music festival?? Frank: Yes, it's going to be next month on the school sports field. John, you can play the piano. How about playing it at the festival?? John: Well, I'd rather play the violin. I can play Liang Zhu.? Frank: Wow! Sounds good. What about you, Debbie? ? Debbie: Actually, I don't have much musical ability. I'd prefer just to help out with the crowds.? Frank: You can sell tickets or work at a food stand.? John: So can I assume that the aim of the festival is to raise money?? Debbie: Yes. All of the money will go to charity.
新人教版高中英语必修2Unit 5 Music-Listening and Speaking教案
This lesson is about music. Students can classify the types of music through the instruments and its sound and can talk about their preferences about music, even join some activities and play a role in them according to their musical talents. On the basis, they are guided to use the languages to express their preferences and some plosive sounds and their rules.1. Classify the music types through the instruments and its sound.2. Listen and understand what the speakers’ preferences are and the reasons; talk about their own preferences and give their own reasons, using these sentences: “What kind of music do you like? And why? “ “Because it makes/gives me energy/peaceful.../touches my heart...”.3. Learn some plosives and the rules.4. Join some activities and play a role in them according to the talents. 1. Listen and understand what the speakers’ preferences are and the reasons;2. talk about their own preferences and give their own reasons, using these sentences: “What kind of music do you like? And why? “ “Because it makes/gives me energy/peaceful.../touches my heart...”.3. Learn some plosives and incomplete plosives and its rules.Step 1 Lead inPoint at the pictures on P50 and ask Q1: What are the people doing in the pictures below?Q2: What kind of music they are?Then play the MP3s one by oneStep 2 ListeningTask 1: A reporter from the school newspaper is interviewing students about music. Listen to the interviews. Draw lines between the words to make complete sentences. Some words will not be used.
新人教版高中英语必修2Unit 5 Music-Reading for Writing教案二
The Internet celebrity Gao Yifeng. Years ago, he owned 5 companies and the staffs over 1,000, but during the economy crisis, he became nothing but debt. He was so worried that his hair became white overnight. There was a time when he wanted to killed himself. But after listening to the song Start Over by Liu Huan, he decided to cheer himself up. He started a steamed bun shop and gradually became a national chain shops. Now he became successful again.Walter Haddon said, “Music is the medicine of a troubled mind.” Music contains such a pleasant and inspiring force. Music gave him courage and bravery. When he listened to the song, it made his spirit fly like a kite in the wind. Music gave him strength and brought him relief. It was the rock I leant on to become strong and to get through those hard times. I hope none of us have to go through the same kind of suffering that he did. At the same time, we all go through various periods when we feel sad or alone. During those times, music can help us in the same way that it helped him. I hope we all will somehow begin to treasure music and make it a part of our life. Thank you for your listening !5.Revise your writing each other.Does he/she explain how music has changed his/her/someone else’s life?Are some of the rhetorical devices included and used properly ?Does he/she talk about how music makes him/her/someone feel?Is the first word in each sentences capitalised?Does he/she use correct punctuation ?
新人教版高中英语必修2Unit 5 Music-Discovering Useful Structures教案二
4. When he got absorbed in his world of music, he felt as if he could “see” the beauty of the world around him, like he had in his previous life.P·P as adverbial: _________________________________________________________________.Function: _______________________________________________________________________.Step 5 Solid Complete the passage with the words in brackets in their correct forms.Well known as a successful band, the Impact members show quite a few striking qualities. They never ever give up. When _____________(question) by the media, they are not _____________(discourage) and practise even harder. They are improving themselves by attending several master training class. They are united. _____________(fill with) team spirit, they act as a whole, always aiming for glory. Step 6 Difference and similarity from -ingObserve the following examples.1. He went out, shutting the door behind him.=He went out, ________________________________________________________.2. Not knowing what to do, he went to his parents for help.=__________________________________________, he went to his parents for help.Similarity: _______________________________________________________________________________________________________________________________________________________.Difference : _______________________________________________________________________________________________________________________________________________________.Step Practice1. ________ in a hurry, this article was not so good. 因为写得匆忙, 这篇文章不是很好。2. ________ carefully, he found something he hadn’t known before. 他仔细读书时, 发现了一些从前不知道的东西。3. ________ why he did it, the monitor said it was his duty. 当被问及他为什么要这么做时, 班长说这是他的职责
新人教版高中英语必修3Unit 4 Space Exploration-Discovering Useful Structures导学案
【点津】 1.不定式的复合结构作目的状语 ,当不定式或不定式短语有自己的执行者时，要用不定式的复合结构?即在不定式或不定式短语之前加 for ＋名词或宾格代词?作状语。He opened the door for the children to come in. 他开门让孩子们进来。目的状语从句与不定式的转换 英语中的目的状语从句，还可以变为不定式或不定式短语作状语，从而使句子在结构上得以简化。可分为两种情况： 1?当目的状语从句中的主语与主句中的主语相同时，可以直接简化为不定式或不定式短语作状语。We'll start early in order that/so that we may arrive in time. →We'll start early in order to/so as to arrive in time. 2?当目的状语从句中的主语与主句中的主语不相同时，要用动词不定式的复合结构作状语。I came early in order that you might read my report before the meeting. →I came early in order for you to read my report before the meeting.
人教版高中英语必修3Festivals around the World说课稿3篇
Teaching plan for Unit 1 book3Good morning, teachers. It’s my great pleasure to be here because I can share my lesson with you and I can learn a lot from it. I’ll begin my lesson from the following four parts， the teaching material, the teaching methods, the studying methods and the teaching procedure.Firstly, let me talk about the teaching material. The content of my lesson is the reading passage festivals and celebrations of Unit 1 Festivals around the world. This passage is about festivals and celebrations. By studying this passage, we’ll enable the students to know that festivals exit everywhere, and many of festivals in different countries celebrate similar ideas. As we all know, the reading passage is the center of each unit. If the Ss can learn it well, it will be helpful to make the Ss learn the rest of this unit.After studying the teaching material, I think the teaching aims are as the followings:1. Knowledge aims:(1) The Ss can master the usage of the important words andexpressions.(2)The Ss can use the __________________ (grammar) in the proper situation.Make students know about the festivals all over the world and the detail of the festivals, such as origin, content, and the date of the holiday festivals.2. Ability aims:(1) Students can talk about festivals and celebrations in English(2) To improve the student’s reading ability, especially their skimming and scanning ability.3. Emotion aims:Make the Ss know about the foreign festivals, and respect other countries’ custom.Next, let’s come to the important points and the difficult points.The important point is how to make the Ss understand the text better and the difficult point is how can they talk about it. secondly， Teaching Methods:1. task-based Language Teaching2. Computer assisted language teaching.3. question-and–answer methodThirdly， Studying Methods:
人教版高中英语必修3The million pound bank note说课稿3篇
在接下来的细读环节，我套用了高考对阅读理解的考查方式设置了5个问题，分别为三个推理判断题，一个细节题和一个主旨大意题。学生需要对文章的内容进行分析、归纳、推理、猜测等高级思维活动才能做出正确的回答。【设计意图】这一过程是对学生进行细读的训练，培养学生获取特定信息和挖掘文章深层次信息的能力。第三环节:Intensive-reading (精读) 15′第三个环节精读，既是最重要的环节，也是突破本课重难点的关键。首先，让学生思考剧本中人物看到百万英镑前后的态度发生了怎样的变化。其次，让学生仔细阅读文章，找出可以表现人物态度变化的具体的语言和动作。最后，让学生总结人物的态度发生变化的根本原因是什么，从而引出Money Talks, 供学生思考。【设计意图】通过一系列的活动培养学生学习从人物的语言和动作探究人物的心理，使学生进一步体会戏剧语言的魅力，从而对文章背后所反映的社会问题进行思考，也为下一步的讨论环节做好铺垫。
人教版高中英语必修4Working The Land说课稿3篇
Knowledge objectives:(1) to make Ss grasp the usage of words, expressions and sentence structures: statistics, struggle, thanks to, rid of, some patterns for persuasion, the “ing” form as subject and object;(2)to use learnt knowledge to persuade sb.Ability objectives:(1) to develop Ss’ reading skills(skimming, scanning, word guessing);(2) to improve Ss’ speaking, communicating and cooperating skills.Emotional objectives:to make Ss know the contribution of Yuan,and learn his spirit and his simple life time.Teaching important and difficult points:(1) some words, expressions and sentence structures mentioned above;(2)the content of the text;(3)training their reading and speaking skills.Teaching methods: CLT, TBLT,QT.Learning strategies: CLS, QLS, TBLS.Teaching procedures:Step 1 lead-in: (1) teacher plays a piece of recent news from CCTV about the harvest of the super hybrid rice, and ask students whether they know Yuan or not, and talk about him and his contribution.(2)Brain storm: let Ss describe Yuan in their minds including his appearance, his living condition and so on.Step 2 fast reading tasks:(1)teacher introduces Yuan and super hybrid rice(2)make Ss read the text as fast as possible with questions. Such as: what’s the general ideaof this passage? What’s Yuan’ dream? (skimming and scanning skill)Step 3 intensive reading tasks(1)let Ss read the text silently, find topic sentence of each paragraph and draw the difficult sentences and the knowledge what they don’t understand.(words guessing)(2)teacher and Ss talk about the important words, expressions and sentences together, and ask Ss to retell the content of the text.(summarizing and paraphrasing)(3)teacher summarize this part.(4) read again following the courseware.
人教版高中英语必修3Canada-the true north说课稿4篇
Good afternoon, teachers, It’s my great pleasure to be here sharing my lesson with you.The content of my lesson is Senior English Book 3 Unit 5 Canada —— “The true North”.I’ll be ready to begin this lesson from five parts. Analysis of the teaching material,the teaching methods,the studying methods, the teaching procedure,and Blackboard design.First, let me talk about the teaching material.Part 1 Teaching Material:This unit is about the introduction of Canada. By studying of this unit,we’ll enable the students to learn the geography, population, main cities, and natural beauty, natural resources of Canada. Through the training of the unit, it also requires students to learn some Language skills such as the expressions of position and emotions.So it plays an important part in the English teaching in this book.After studying the teaching material and analyzing the rule of children’s growing of mind,I think the teaching aims are the followings:1.Knowledge objects:(1) make the students learn some new words and phrases(2) make the students understand the content of the lesson.2.Ability objects:(1)To develop the Ss’ abilities of listening, speaking, reading and writing. Especially reading and speaking ability.(2) learn to talk about the characters of Canada in English(3)To train the Ss’ ability of working in pairs.3.Emotion objects:(1)Enable students to understand the characters of Canada..(2)Stimulate Ss to work hard to make China stronger.Part 2 Teaching Methods:I think helping students learn to master new words and phrases and improve the students’ reading and speaking ability is import and the difficult.According to the analysis of the teaching material and the import points and the difficult points,I will use the following teaching methods : question-guiding approach; fast-reading and careful reading; multi-media teaching methods; discussion
圆的一般方程教学设计人教A版高中数学选择性必修第一册
情境导学前面我们已讨论了圆的标准方程为(x-a)2+(y-b)2=r2,现将其展开可得：x2+y2-2ax-2bx+a2+b2-r2=0.可见,任何一个圆的方程都可以变形x2+y2+Dx+Ey+F=0的形式.请大家思考一下,形如x2+y2+Dx+Ey+F=0的方程表示的曲线是不是圆?下面我们来探讨这一方面的问题.探究新知例如,对于方程x^2+y^2-2x-4y+6=0,对其进行配方，得〖(x-1)〗^2+(〖y-2)〗^2=-1,因为任意一点的坐标 (x,y) 都不满足这个方程，所以这个方程不表示任何图形，所以形如x2+y2+Dx+Ey+F=0的方程不一定能通过恒等变换为圆的标准方程，这表明形如x2+y2+Dx+Ey+F=0的方程不一定是圆的方程.一、圆的一般方程（1）当D2+E2-4F>0时,方程x2+y2+Dx+Ey+F=0表示以(-D/2,-E/2)为圆心,1/2 √(D^2+E^2 "-" 4F)为半径的圆,将方程x2+y2+Dx+Ey+F=0，配方可得〖(x+D/2)〗^2+(〖y+E/2)〗^2=(D^2+E^2-4F)/4（2）当D2+E2-4F=0时,方程x2+y2+Dx+Ey+F=0，表示一个点(-D/2,-E/2)（3）当D2+E2-4F0);
直线的一般式方程教学设计人教A版高中数学选择性必修第一册
解析:当a0时,直线ax-by=1在x轴上的截距1/a0,在y轴上的截距-1/a>0.只有B满足.故选B.答案:B 3．过点(1,0)且与直线x－2y－2＝0平行的直线方程是( ) A．x－2y－1＝0 B．x－2y＋1＝0C．2x＋y＝2＝0 D．x＋2y－1＝0答案A 解析：设所求直线方程为x－2y＋c＝0，把点(1,0)代入可求得c＝－1.所以所求直线方程为x－2y－1＝0.故选A.4．已知两条直线y＝ax－2和3x－(a＋2)y＋1＝0互相平行，则a＝________.答案：1或－3 解析：依题意得：a(a＋2)＝3×1，解得a＝1或a＝－3.5．若方程(m2－3m＋2)x＋(m－2)y－2m＋5＝0表示直线．(1)求实数m的范围；(2)若该直线的斜率k＝1，求实数m的值．解析： (1)由m2－3m＋2＝0，m－2＝0，解得m＝2，若方程表示直线，则m2－3m＋2与m－2不能同时为0，故m≠2.(2)由－?m2－3m＋2?m－2＝1，解得m＝0.
小学美术人教版一年级上册《第5课五彩的烟花》教学设计模板说课稿
2学情分析一年级学生对美术的兴趣很高，对五颜六色的物体特别感兴趣，孩子们课前做的准备很好。3重点难点1.节日里烟花的画法。2.油画棒和水彩颜料相结合的涂色技巧。教学活动活动1【活动】教案第5课五彩的烟花
初中数学人教版二元一次方程组教学设计教案
（一）例题引入篮球联赛中，每场比赛都要分出胜负，每队胜1场得2分，负1场得1分。某队在10场比赛中得到16分，那么这个队胜负场数分别是多少？方法一：（利用之前的知识，学生自己列出并求解）解：设剩X场，则负（10－X)场。方程：2X+(10－X)=16方法二：（老师带领学生一起列出方程组）解：设胜X场，负Y场。根据：胜的场数+负的场数=总场数 胜场积分+负场积分=总积分得到：X+Y=10 2X+Y=16
倾斜角与斜率教学设计人教A版高中数学选择性必修第一册
(2)l的倾斜角为90°,即l平行于y轴,所以m+1=2m,得m=1.延伸探究1 本例条件不变,试求直线l的倾斜角为锐角时实数m的取值范围.解:由题意知(m"-" 1"-" 1)/(m+1"-" 2m)>0,解得1<m<2.延伸探究2 若将本例中的“N(2m,1)”改为“N(3m,2m)”,其他条件不变,结果如何?解:(1)由题意知(m"-" 1"-" 2m)/(m+1"-" 3m)=1,解得m=2.(2)由题意知m+1=3m,解得m=1/2.直线斜率的计算方法(1)判断两点的横坐标是否相等,若相等,则直线的斜率不存在.(2)若两点的横坐标不相等,则可以用斜率公式k=(y_2 "-" y_1)/(x_2 "-" x_1 )(其中x1≠x2)进行计算.金题典例 光线从点A(2,1)射到y轴上的点Q,经y轴反射后过点B(4,3),试求点Q的坐标及入射光线的斜率.解:(方法1)设Q(0,y),则由题意得kQA=-kQB.∵kQA=(1"-" y)/2,kQB=(3"-" y)/4,∴(1"-" y)/2=-(3"-" y)/4.解得y=5/3,即点Q的坐标为 0,5/3 ,∴k入=kQA=(1"-" y)/2=-1/3.(方法2)设Q(0,y),如图,点B(4,3)关于y轴的对称点为B'(-4,3), kAB'=(1"-" 3)/(2+4)=-1/3,由题意得,A、Q、B'三点共线.从而入射光线的斜率为kAQ=kAB'=-1/3.所以,有(1"-" y)/2=(1"-" 3)/(2+4),解得y=5/3,点Q的坐标为(0,5/3).
空间向量基本定理教学设计人教A版高中数学选择性必修第一册
反思感悟用基底表示空间向量的解题策略1.空间中,任一向量都可以用一个基底表示,且只要基底确定,则表示形式是唯一的.2.用基底表示空间向量时,一般要结合图形,运用向量加法、减法的平行四边形法则、三角形法则,以及数乘向量的运算法则,逐步向基向量过渡,直至全部用基向量表示.3.在空间几何体中选择基底时,通常选取公共起点最集中的向量或关系最明确的向量作为基底,例如,在正方体、长方体、平行六面体、四面体中,一般选用从同一顶点出发的三条棱所对应的向量作为基底.例2.在棱长为2的正方体ABCD-A1B1C1D1中,E,F分别是DD1,BD的中点,点G在棱CD上,且CG=1/3 CD(1)证明:EF⊥B1C;(2)求EF与C1G所成角的余弦值.思路分析选择一个空间基底,将(EF) ?,(B_1 C) ?,(C_1 G) ?用基向量表示.(1)证明(EF) ?·(B_1 C) ?=0即可;(2)求(EF) ?与(C_1 G) ?夹角的余弦值即可.(1)证明:设(DA) ?=i,(DC) ?=j,(DD_1 ) ?=k,则{i,j,k}构成空间的一个正交基底.
两点间的距离公式教学设计人教A版高中数学选择性必修第一册
一、情境导学在一条笔直的公路同侧有两个大型小区,现在计划在公路上某处建一个公交站点C,以方便居住在两个小区住户的出行.如何选址能使站点到两个小区的距离之和最小?二、探究新知问题1.在数轴上已知两点A、B，如何求A、B两点间的距离？提示：|AB|＝|xA－xB|.问题2：在平面直角坐标系中能否利用数轴上两点间的距离求出任意两点间距离？探究.当x1≠x2，y1≠y2时，|P1P2|＝？请简单说明理由．提示：可以，构造直角三角形利用勾股定理求解．答案：如图，在Rt △P1QP2中，|P1P2|2＝|P1Q|2＋|QP2|2，所以|P1P2|＝?x2－x1?2＋?y2－y1?2.即两点P1(x1，y1)，P2(x2，y2)间的距离|P1P2|＝?x2－x1?2＋?y2－y1?2.你还能用其它方法证明这个公式吗？2．两点间距离公式的理解(1)此公式与两点的先后顺序无关，也就是说公式也可写成|P1P2|＝?x2－x1?2＋?y2－y1?2.(2)当直线P1P2平行于x轴时，|P1P2|＝|x2－x1|.当直线P1P2平行于y轴时，|P1P2|＝|y2－y1|.
两直线的交点坐标教学设计人教A版高中数学选择性必修第一册
1.直线2x+y+8=0和直线x+y-1=0的交点坐标是( )A.(-9,-10) B.(-9,10) C.(9,10) D.(9,-10)解析:解方程组{■(2x+y+8=0"," @x+y"-" 1=0"," )┤得{■(x="-" 9"," @y=10"," )┤即交点坐标是(-9,10).答案:B 2.直线2x+3y-k=0和直线x-ky+12=0的交点在x轴上,则k的值为( )A.-24 B.24 C.6 D.± 6解析:∵直线2x+3y-k=0和直线x-ky+12=0的交点在x轴上,可设交点坐标为(a,0),∴{■(2a"-" k=0"," @a+12=0"," )┤解得{■(a="-" 12"," @k="-" 24"," )┤故选A.答案:A 3.已知直线l1:ax+y-6=0与l2:x+(a-2)y+a-1=0相交于点P,若l1⊥l2,则点P的坐标为 . 解析:∵直线l1:ax+y-6=0与l2:x+(a-2)y+a-1=0相交于点P,且l1⊥l2,∴a×1+1×(a-2)=0,解得a=1,联立方程{■(x+y"-" 6=0"," @x"-" y=0"," )┤易得x=3,y=3,∴点P的坐标为(3,3).答案:(3,3) 4.求证:不论m为何值,直线(m-1)x+(2m-1)y=m-5都通过一定点. 证明:将原方程按m的降幂排列,整理得(x+2y-1)m-(x+y-5)=0,此式对于m的任意实数值都成立,根据恒等式的要求,m的一次项系数与常数项均等于零,故有{■(x+2y"-" 1=0"," @x+y"-" 5=0"," )┤解得{■(x=9"," @y="-" 4"." )┤
圆与圆的位置关系教学设计人教A版高中数学选择性必修第一册
1.两圆x2+y2-1=0和x2+y2-4x+2y-4=0的位置关系是( )A.内切 B.相交 C.外切 D.外离解析:圆x2+y2-1=0表示以O1(0,0)点为圆心,以R1=1为半径的圆.圆x2+y2-4x+2y-4=0表示以O2(2,-1)点为圆心,以R2=3为半径的圆.∵|O1O2|=√5,∴R2-R1<|O1O2|<R2+R1,∴圆x2+y2-1=0和圆x2+y2-4x+2y-4=0相交.答案:B2.圆C1:x2+y2-12x-2y-13=0和圆C2:x2+y2+12x+16y-25=0的公共弦所在的直线方程是 . 解析:两圆的方程相减得公共弦所在的直线方程为4x+3y-2=0.答案:4x+3y-2=03.半径为6的圆与x轴相切,且与圆x2+(y-3)2=1内切,则此圆的方程为( )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:设所求圆心坐标为(a,b),则|b|=6.由题意,得a2+(b-3)2=(6-1)2=25.若b=6,则a=±4;若b=-6,则a无解.故所求圆方程为(x±4)2+(y-6)2=36.答案:D4.若圆C1:x2+y2=4与圆C2:x2+y2-2ax+a2-1=0内切,则a等于 . 解析:圆C1的圆心C1(0,0),半径r1=2.圆C2可化为(x-a)2+y2=1,即圆心C2(a,0),半径r2=1,若两圆内切,需|C1C2|=√(a^2+0^2 )=2-1=1.解得a=±1. 答案:±1 5. 已知两个圆C1:x2+y2=4,C2:x2+y2-2x-4y+4=0,直线l:x+2y=0,求经过C1和C2的交点且和l相切的圆的方程.解:设所求圆的方程为x2+y2+4-2x-4y+λ(x2+y2-4)=0,即(1+λ)x2+(1+λ)y2-2x-4y+4(1-λ)=0.所以圆心为 1/(1+λ),2/(1+λ) ,半径为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,圆x2+y2=4显然不符合题意,故所求圆的方程为x2+y2-x-2y=0.
直线的点斜式方程教学设计人教A版高中数学选择性必修第一册
【答案】B [由直线方程知直线斜率为3，令x＝0可得在y轴上的截距为y＝－3.故选B.]3．已知直线l1过点P(2,1)且与直线l2：y＝x＋1垂直，则l1的点斜式方程为________．【答案】y－1＝－(x－2) [直线l2的斜率k2＝1，故l1的斜率为－1，所以l1的点斜式方程为y－1＝－(x－2)．]4．已知两条直线y＝ax－2和y＝(2－a)x＋1互相平行，则a＝________. 【答案】1 [由题意得a＝2－a，解得a＝1.]5.无论k取何值,直线y-2=k(x+1)所过的定点是 . 【答案】(-1,2)6．直线l经过点P(3,4)，它的倾斜角是直线y＝3x＋3的倾斜角的2倍，求直线l的点斜式方程．【答案】直线y＝3x＋3的斜率k＝3，则其倾斜角α＝60°，所以直线l的倾斜角为120°.以直线l的斜率为k′＝tan 120°＝－3.所以直线l的点斜式方程为y－4＝－3(x－3)．