一、教学目标(一)知识教育点使学生掌握抛物线的定义、抛物线的标准方程及其推导过程.(二)能力训练点要求学生进一步熟练掌握解析几何的基本思想方法,提高分析、对比、概括、转化等方面的能力.(三)学科渗透点通过一个简单实验引入抛物线的定义,可以对学生进行理论来源于实践的辩证唯物主义思想教育.二、教材分析1.重点:抛物线的定义和标准方程.2.难点:抛物线的标准方程的推导.三、活动设计提问、回顾、实验、讲解、板演、归纳表格.四、教学过程(一)导出课题我们已学习了圆、椭圆、双曲线三种圆锥曲线.今天我们将学习第四种圆锥曲线——抛物线,以及它的定义和标准方程.课题是“抛物线及其标准方程”.首先,利用篮球和排球的运动轨迹给出抛物线的实际意义,再利用太阳灶和抛物线型的桥说明抛物线的实际用途。
教学准备 1. 教学目标 知识与技能掌握双曲线的定义,掌握双曲线的四种标准方程形式及其对应的焦点、准线.过程与方法掌握对双曲线标准方程的推导,进一步理解求曲线方程的方法——坐标法.通过本节课的学习,提高学生观察、类比、分析和概括的能力.情感、态度与价值观通过本节的学习,体验研究解析几何的基本思想,感受圆锥曲线在刻画现实和解决实际问题中的作用,进一步体会数形结合的思想.2. 教学重点/难点 教学重点双曲线的定义及焦点及双曲线标准方程.教学难点在推导双曲线标准方程的过程中,如何选择适当的坐标系. 3. 教学用具 多媒体4. 标签
本人所教的两个班级学生普遍存在着数学科基础知识较为薄弱,计算能力较差,综合能力不强,对数学学习有一定的困难。在课堂上的主体作用的体现不是太充分,但是他们能意识到自己的不足,对数学课的学习兴趣高,积极性强。 学生在学习交往上表现为个别化学习,课堂上较为依赖老师的引导。学生的群体性小组交流能力与协同讨论学习的能力不强,对学习资源和知识信息的获取、加工、处理和综合的能力较低。在教学中尽量分析细致,减少跨度较大的环节,对重要的推导过程采用板书方式逐步进行,力求让绝大多数学生接受。 1.理解椭圆标准方程的推导;掌握椭圆的标准方程;会根据条件求椭圆的标准方程,会根据椭圆的标准方程求焦点坐标. 2.通过椭圆图形的研究和标准方程的讨论,使学生掌握椭圆的几何性质,能正确地画出椭圆的图形,并了解椭圆的一些实际应用。 1.让学生经历椭圆标准方程的推导过程,进一步掌握求曲线方程的一般方法,体会数形结合等数学思想;培养学生运用类比、联想等方法提出问题. 2.培养学生运用数形结合的思想,进一步掌握利用方程研究曲线的基本方法,通过与椭圆几何性质的对比来提高学生联想、类比、归纳的能力,解决一些实际问题。 1.通过具体的情境感知研究椭圆标准方程的必要性和实际意义;体会数学的对称美、简洁美,培养学生的审美情趣,形成学习数学知识的积极态度. 2.进一步理解并掌握代数知识在解析几何运算中的作用,提高解方程组和计算能力,通过“数”研究“形”,说明“数”与“形”存在矛盾的统一体中,通过“数”的变化研究“形”的本质。帮助学生建立勇于探索创新的精神和克服困难的信心。
本节的内容主要是反比例函数的概念教学.反比例函数概念的建立,不能从形式上进行简单的抽象与概括,而是对这些实例从不同角度抽象出本质属性后,再进行概括。教材设计的基本思路是从现实生活中大量的反比例关系中抽象出反比例函数概念,让学生进一步感受函数是反映现实世界中变量关系的一种有效数学模型,逐步从对具体反比例函数的感性认识上升到对抽象的反比例函数概念的理性认识. 同时本节的学习内容,直接关系到本章后续内容的学习,也是继续学习其它各类函数的基础,其中蕴涵的类比、归纳、对应和函数的数学思想方法,对学生今后研究问题、解决问题以及终身的发展都是非常有益的.基于以上分析,本节教学设计是建立在一个个数学活动的基础上,经过对情境理解、本质抽象的积累而形成的.让学生对一类问题情境中两个变量间的关系,在充分经历写表达式,计算函数值和观察函数值随自变量变化规律的过程中,逐步概括形成反比例函数的概念.针对教学实际,我选取了贴学生现实的,有价值的实例“文具店里买学习用品”和“剪面积为定值的长方形纸片”等作为问题情境.
第三个环节——巩固应用按从易到难的原则,设计了4道检测题,引导学生综合运用所学的知识和技能,提高解决问题的能力,并从中体验解决问题的乐趣。第四个环节——全课小结首先学生谈收获,教师进行恰当评价。此环节通过师生互动、生生互动,经历一次再学习、再巩固的过程。教学反思:一、还应展开对字母表示数和数量关系的具体意义的交流性阐释。虽然在教学中我十分注重让学生在生活情境中轻松地抽象数学模型和理解新知,但是由于过分关注教学进度,学生没有时间结合具体情境全面地表述含有字母的式子所表示的意义。二、对学生的建模能力培养还应加强训练。每一次让学生表述字母和含有字母的式子表示什么意思时,学生还没有来得及充分思考,我总是忍不住着急地引导。其实,如果放手让学生交流、讨论,让他们自己进行抽象概括,他们还是能解决的。
知识技能目标: 1、借助生活中的实例,体会用字母表示数的必要性和重要性。 2、在具体的情境中能利用字母表示数进行表达和交流。知道字母所表示的不同取值范围。 过程方法目标: 1、在探索现实世界数量关系的过程中,体验用字母表示数的简明性。
1.制作红灯笼师:(展示漂亮的灯笼)小朋友们想不想自己亲手制作一个呢?生:好呀师:那小朋友们知道制作灯笼需要什么材料吗?生:彩纸、剪刀...师:没错,那老师先来展示一下怎么制作灯笼吧!(展示完后,开始让小朋友两两组合共同制作)2.制作灯笼剪纸师:小朋友们,刚刚是不是已经制作灯笼了呀?下面我们进行一个更好玩的环节?生:好呀好呀!师:那我先来展示一下咯,小朋友们别眨眼呀!(展示完后,开始让小朋友们独立完成)小结:通过制作共同合作制作灯笼与独自完成灯笼剪影,不仅使他们更能感知灯笼的形状,更能提高小朋友们的动手能力和思考力。
文本分析《琵琶行》作为白居易最为出名的诗歌之一,内容详实,情感动人,在诗歌中,白居易塑造了两个形象极为鲜明的人物——琵琶女&作者本人。一个是江湖薄命人,一个是官场失意者。两个本无交集的人因为京都琵琶声相遇,互诉衷肠后,发出“同是天涯沦落人,相逢何必曾相识“的感慨
一、定义: ,这一公式表示的定理叫做二项式定理,其中公式右边的多项式叫做的二项展开式;上述二项展开式中各项的系数 叫做二项式系数,第项叫做二项展开式的通项,用表示;叫做二项展开式的通项公式.二、二项展开式的特点与功能1. 二项展开式的特点项数:二项展开式共(二项式的指数+1)项;指数:二项展开式各项的第一字母依次降幂(其幂指数等于相应二项式系数的下标与上标的差),第二字母依次升幂(其幂指数等于二项式系数的上标),并且每一项中两个字母的系数之和均等于二项式的指数;系数:各项的二项式系数下标等于二项式指数;上标等于该项的项数减去1(或等于第二字母的幂指数;2. 二项展开式的功能注意到二项展开式的各项均含有不同的组合数,若赋予a,b不同的取值,则二项式展开式演变成一个组合恒等式.因此,揭示二项式定理的恒等式为组合恒等式的“母函数”,它是解决组合多项式问题的原始依据.又注意到在的二项展开式中,若将各项中组合数以外的因子视为这一组合数的系数,则易见展开式中各组合数的系数依次成等比数列.因此,解决组合数的系数依次成等比数列的求值或证明问题,二项式公式也是不可或缺的理论依据.
当孩子们由父母陪同时,他们才被允许进入这个运动场。3.过去分词(短语)作状语时的几种特殊情况(1)过去分词(短语)在句中作时间、条件、原因、让步状语时,相当于对应的时间、条件、原因及让步状语从句。Seen from the top of the mountain (=When it is seen from the top of the mountain), the whole town looks more beautiful.从山顶上看,整个城市看起来更美了。Given ten more minutes (=If we are given ten more minutes), we will finish the work perfectly.如果多给十分钟,我们会完美地完成这项工作。Greatly touched by his words (=Because she was greatly touched by his words), she was full of tears.由于被他的话深深地感动,她满眼泪花。Warned of the storm (=Though they were warned of the storm), the farmers were still working on the farm.尽管被警告了风暴的到来,但农民们仍在农场干活。(2)过去分词(短语)在句中作伴随、方式等状语时,可改为句子的并列谓语或改为并列分句。The teacher came into the room, followed by two students (=and was followed by two students).后面跟着两个学生,老师走进了房间。He spent the whole afternoon, accompanied by his mom(=and was accompanied by his mom).他由母亲陪着度过了一整个下午。
课程分析中专数学课程教学是专业建设与专业课程体系改革的一部分,应与专业课教学融为一体,立足于为专业课服务,解决实际生活中常见问题,结合中专学生的实际,强调数学的应用性,以满足学生在今后的工作岗位上的实际应用为主,这也体现了新课标中突出应用性的理念。分段函数的实际应用在本课程中的地位:(1) 函数是中专数学学习的重点和难点,函数的思想贯穿于整个中专数学之中,分段函数在科技和生活的各个领域有着十分广泛的应用。(2) 本节所探讨学习分段函数在生活生产中的实际问题上应用,培养学生分析与解决问题的能力,养成正确的数学化理性思维的同时,形成一种意识,即数学“源于生活、寓于生活、用于生活”。教材分析 教材使用的是中等职业教育课程改革国家规划教材,依照13级教学计划,函数的实际应用举例内容安排在第三章函数的最后一部分讲解。本节内容是在学生熟知函数的概念,表示方法和对函数性质有一定了解的基础上研究分段函数,同时深化学生对函数概念的理解和认识,也为接下来学习指数函数和对数函数作了良好铺垫。根据13级学生实际情况,由生活生产中的实际问题入手,求得分段函数此部分知识以学生生活常识为背景,可以引导学生分析得出。
课题序号 授课班级 授课课时2授课形式新课授课章节 名称§9-1 平面基本性质使用教具多媒体课件教学目的1.了解平面的定义、表示法及特点,会用符号表示点、线、面之间的关系—基础模块 2.了解平面的基本性质和推论,会应用定理和推论解释生活中的一些现象—基础模块 3.会用斜二测画法画立体图形的直观图—基础模块 4.培养学生的空间想象能力教学重点用适当的符号表示点、线、面之间的关系;会用斜二测画法画立体图形的直观图教学难点从平面几何向立体几何的过渡,培养学生的空间想象能力.更新补充 删节内容 课外作业 教学后记能动手画,动脑想,但立体几何的语言及想象能力差
课程名称数学课题名称8.2 直线的方程课时2授课日期2016.3任课教师刘娜目标群体14级五高班教学环境教室学习目标知识目标: (1)理解直线的倾角、斜率的概念; (2)掌握直线的倾角、斜率的计算方法. 职业通用能力目标: 正确分析问题的能力 制造业通用能力目标: 正确分析问题的能力学习重点直线的斜率公式的应用.学习难点直线的斜率概念和公式的理解.教法、学法讲授、分析、讨论、引导、提问教学媒体黑板、粉笔
你校英语报计划出版一期急救常识专刊,现面向全校学生公开征集稿件,你有意参加。请你根据下面提示内容,用英语写一篇短文,介绍在车祸现场对伤者进行急救的方法和步骤。1.确保现场的安全;2.询问伤者,确保其呼吸正常;3.检查伤口,如流血则应采取止血措施;4.如需急救,确保其处于康复位置。注意:1.词数80左右;2.可以适当增加细节,以使行文连贯。参考词汇:康复位置 recovery positionAs we all know, having a knowledge of first aid can make a great difference in our daily life. If a traffic accident happens and someone is injured, the following steps can be used to treat the injured.In the first place, we should make sure that the accident scene is safe so that we won’t get hurt. We should ask the injured person if he is OK, and see if he is breathing. What’s more, we should check for cuts and wounds. If he is bleeding badly, it is vital that we should try to stop the bleeding by applying pressure to the injury. This is because if a person loses too much blood, he may die. If necessary, take the injured person to the hospital as soon as possible.Do remember: when giving first aid, please be sure to place the person in a recovery position.
The theme of this section is to express people's views on studying abroad. With the continuous development of Chinese economic construction, especially the general improvement of people's living standards, the number of Chinese students studying abroad at their own expense is on the rise. Many students and parents turn their attention to the world and regard studying abroad as an effective way to improve their quality, broaden their horizons and master the world's advanced scientific knowledge, which is very important for the fever of going abroad. Studying abroad is also an important decision made by a family for their children. Therefore, it is of great social significance to discuss this issue. The theme of this section is the column discussion in the newspaper: the advantages and disadvantages of studying abroad. The discourse is about two parents' contribution letters on this issue. They respectively express their own positions. One thinks that the disadvantages outweigh the advantages, and the other thinks that the advantages outweigh the disadvantages. The two parents' arguments are well founded and logical. It is worth noting that the two authors do not express their views on studying abroad from an individual point of view, but from a national or even global point of view. These two articles have the characteristics of both letters and argumentative essays1.Guide the students to read these two articles, and understand the author's point of view and argument ideas2.Help the students to summarize the structure and writing methods of argumentative writing, and guides students to correctly understand the advantages and disadvantages of studying abroad3.Cultivate students' ability to analyze problems objectively, comprehensively and deeply
假定你是英国的Jack,打算来中国旅行,请你给你的中国笔友李华写一封信,要点如下:1.你的旅行计划:北京→泰山→杭州;2.征求建议并询问他是否愿意充当你的导游。注意:1.词数80左右(开头和结尾已给出,不计入总词数);2.可以适当增加细节,以使行文连贯。参考词汇:故宫 the Forbidden City;泰山 Mount TaiDear Li Hua,I'm glad to tell you that 'm going to visit China.First,I am planning to visit Beijing,the capitalof China,where I am looking forward to enjoying the Great Wall,the Forbidden City and somebeautiful parks.Then I intend to go to visit Mount Tai in Shandong Province.I've heard that it is one ofthe most famous mountains in China and I can't wait to enjoy the amazing sunrise there.After that,I amalso going to Hangzhou.It is said that it is a beautiful modern city with breathtaking natural sights,among which the West Lake is a well- known tourist attraction.What do you think of my travel plan? Will you act as my guide? Hope to hear from you soon.
The theme of the listening section is " talking about scenery and culture along a journey."The part is designed to further lead the students to understand Canadian natural geography and social environment, and integrated into the cultural contrast by mentioning the long train journey from Beijing to Moscow routes. On this basis, the part activates students related travel experience, lets the student serial dialogue, guides the student to explore further the pleasure and meaning of the long journey, and Chinese and foreign cultural comparison.The part also provides a framework for the continuation of the dialogue, which is designed to provide a framework for students to successfully complete their oral expressions, and to incorporate an important trading strategy to end the dialogue naturally.1. Help students to understand and master some common English idioms in the context, and experience the expression effect of English idioms.2. Guide the students to understand the identity of different people in the listening context, and finish the dialogue according to their own experience.3. Instruct the students to use appropriate language to express surprise and curiosity about space and place in the dialogue, and master the oral strategy of ending the dialogue naturally.1. Instruct students to grasp the key information and important details of the dialogue.2. Instruct students to conduct a similar talk on the relevant topic.
1. We'll need ten months at least to have the restaurant decorated.2.Some traditional Chinese dishes from before the Ming Dynasty are still popular today.3.My grandpa's breakfast mainly includes whole grain biscuits and a glass of milk.4.People in this area would eat nearly a kilo of cheese per week.5. We enjoyed a special dinner in a fancy restaurant where the waiters all wore attractive suits.6. He prefers this brand of coffee which, as he said, has an unusually good flavor.Key:1. at a minimum 2. prior to3. consist of4. consume5. elegant6. exceptionalStep 5:Familiarize yourself with some food idioms by matching the meaning on the right with the colored words on the left.1.Public concern for the health of farm animals has mushroomed in the UK2.Anderson may be young but he's certainly rolling to doing dough!3.George is a popular lecturer. He often peppers his speech with jokes.4.As the person to bring home the bacon, he needs to find a stable job.5 He is often regarded as a ham actor for his over emphasized facial expressions. The media reported that these companies had treated pollution as a hot potato. 6.The media reported that these companies had treated pollution as a hot potato.7.Don't worry about the test tomorrow. It's going to be a piece of cake!8. It's best to fold the swimming ring when it is as flat as a pancake.A. completely flatB. something that is very easy to do C.an issue that is hard to deal withD.to include large numbers of somethingE.to earn on e's living to support a familyF. wealthyG.to rapidly increase in numberH. an actor who performs badly, especially by over emphasizing emotions
Her tutor told her to acknowledge __________ other people had said if she cited their ideas, and advised her _______(read) lots of information in order to form __________wise opinion of her own.Now halfway __________ her exchange year, Xie Lei felt much more at home in the UK. She said __________ (engage) in British culture had helped and that she had been__________ (involve) in social activities. She also said while learning about business, she was acting as a cultural messenger __________(build) a bridge between the two countries. keys:Xie Lei, a 19yearold Chinese student, said goodbye to her family and friends in China and boarded (board) a plane for London six months ago in order to get a business qualification. She was ambitious(ambition) to set up a business after graduation. It was the first time that she had left (leave) home.At first, Xie Lei had to adapt to life in a different country. She chose to live with a host family, who can help with her adaptation (adapt) to the new culture. When she missed home, she felt comforted (comfort) to have a second family. Also Xie Lei had to satisfy academic requirements. Her tutor told her to acknowledge what other people had said if she cited their ideas, and advised her to read lots of information in order to form a wise opinion of her own.Now halfway through her exchange year, Xie Lei felt much more at home in the UK. She said engaging (engage) in British culture had helped and that she had been involved (involve) in social activities. She also said while learning about business, she was acting as a cultural messenger building a bridge between the two countries.
The theme of this part is to write an article about healthy diet. Through reading and writing activities, students can accumulate knowledge about healthy diet, deepen their understanding of the theme of healthy diet, and reflect on their own eating habits. This text describes the basic principles of healthy diet. The author uses data analysis, definition, comparison, examples and other methods. It also provides a demonstration of the use of conjunctions, which provides important information reference for students to complete the next collaborative task, writing skills, vivid language materials and expressions.1. Teach Ss to learn and skillfully use the new words learned from the text.2. Develop students’ ability to understand, extract and summarize information.3. Guide students to understand the theme of healthy diet and reflect on their own eating habits.4. To guide students to analyze and understand the reading discourse from the aspects of theme content, writing structure, language expression, etc., 5. Enable Ss to write in combination with relevant topics and opinions, and to talk about their eating habits.1. Guide students to analyze and understand the reading discourse from the aspects of theme content, writing structure, language expression, etc.2. Enable them to write in combination with relevant topics and opinions, and to talk about their eating habits.3. Guide the students to use the cohesive words correctly, strengthen the textual cohesion, and make the expression fluent and the thinking clear.Step1: Warming upbrainstorm some healthy eating habits.1.Eat slowly.2.Don’t eat too much fat or sugar.3.Eat healthy food.4.Have a balanced diet.Step2: Read the passage and then sum up the main idea of each paragraph.