探究点二:用配方法解二次项系数为1的一元二次方程用配方法解方程:x2+2x-1=0.解析:方程左边不是一个完全平方式,需将左边配方.解:移项,得x2+2x=1.配方,得x2+2x+(22)2=1+(22)2,即(x+1)2=2.开平方,得x+1=±2.解得x1=2-1,x2=-2-1.方法总结:用配方法解一元二次方程时,应按照步骤严格进行,以免出错.配方添加时,记住方程左右两边同时加上一次项系数一半的平方.三、板书设计用配方法解简单的一元二次方程:1.直接开平方法:形如(x+m)2=n(n≥0)用直接开平方法解.2.用配方法解一元二次方程的基本思路是将方程转化为(x+m)2=n(n≥0)的形式,再用直接开平方法,便可求出它的根.3.用配方法解二次项系数为1的一元二次方程的一般步骤:(1)移项,把方程的常数项移到方程的右边,使方程的左边只含二次项和一次项;(2)配方,方程两边都加上一次项系数一半的平方,把原方程化为(x+m)2=n(n≥0)的形式;(3)用直接开平方法求出它的解.
(1) 你能解哪些特殊的一元二次方程?(2) 你会解下列一元二次方程吗?你是怎么做的?x2=5,2x2+3=5,x2+2x+1=5 ,(x+6)2 +72 = 102(3) 你能解方程x2+12x-15=0吗?你遇到的困难是什么?你能设法将这个方程转化成上面方程的形式吗?与同伴进行交流。活动二:做一做:填上适当的数,使下列等式成立(1)x2+12x+ =(x+6)2 (2)x2―4x+ =(x― )2 (3)x2+8x+ =(x+ )2 在上面等式的左边,常数项和一次项有什么关系解一元二次方程的思路是什么?活动三:例1、解方程:x2+8x-9=0你能用语言总结配方法吗?课本37页随堂练习课时作业:
二、合作交流活动一:(1) 你能解哪些特殊的一元二次方程?(2) 你会解下列一元二次方程吗?你是怎么做的?x2=5,2x2+3=5,x2+2x+1=5 ,(x+6)2 +72 = 102(3) 你能解方程x2+12x-15=0吗?你遇到的困难是什么?你能设法将这个方程转化成上面方程的形式吗?与同伴进行交流。活动二:做一做:填上适当的数,使下列等式成立(1)x2+12x+ =(x+6)2 (2)x2―4x+ =(x― )2 (3)x2+8x+ =(x+ )2 在上面等式的左边,常数项和一次项有什么关系解一元二次方程的思路是什么?活动三:例1、解方程:x2+8x-9=0你能用语言总结配方法吗?课本37页随堂练习课时作业:
2015.10-2017.12ShangHaitechnology trading co. LTD. Salesrepresentative1, responsible for executing the Russian market implementation of planningand organizing activities2, responsible for the collection of web information, resource management;3, integrate internal and external resources, planning overseas brandpublicity of related products2012.04-2015.09ShangHaiGlobalinternational trading co. LTD. Salesrepresentative1, market research, collect relevant market dynamics and analysis, providethe basis for leadership decision-making;2, according to the market demand and customer comments, for the company'sproducts, services, and promote the improvement opinions;
With a record ofconsistent profit contributions amounting to millions of dollars in generalmanagement, marketing and production in the U. S. And internationally, accustomed to autonomousmultidivision responsibility. Equipped to use all management techniques toaccomplish company objectives.GENERAL MANAGEMENTAccomplished seven divisionalturnarounds leading these divisions from high five-figure losses to six-figureprofits in periods ranging from three months to two years.PRODUCTIONSuccessfully engineered and producedfour new products of complex technology applying various engineeringdisciplines and marketing skills.MARKETINGConceived and implemented new marketingplan which broadened distribution and increased volume 27%, increased profits9%.FINANCEInstituted new financial controls andprocedures, increased cash flow 19%, improved R. O. I. 13%, set objectives andachieved financial ratios which became the envy of the industry.TECHNICALBACKGROUNDIntimately familiar with themetalworking industry and with sophisticated machinery and equipment in a boardarea of manufacturing.
2018.09- Present China ConstructionBank Corporation (Chaoyang Branch) Lobby manager l According tocustomer characteristics and business types, guide and distribute customers todesignated windows or self-service machines to handle business, maintain hallorder and solve customer disputes.l Guide andassist customers to fill out forms for various businesses and copy ID cards andother relevant documents to answer the questions customers encounter when usingATM self-service terminals, help customers solve difficulties encounteredduring use, passion, sincerity, patience, Accurately answer customer's businessconsulting.l Assist inbasic work. For example: help to copy the financial product instructions, helpmanagers organize various promotional activities, etc.l Jobperformance: During the internship, the customer received XXX in total, no complaints,and received favorable comments from customers; completed the number of creditcard accounts XXXXX.
2017/08--2018/02 Design Company Fashion Department - SoftDecoration Designer1. The design ofthe soft decoration scheme, budget, procurement, venue decoration, etc. in themodel room, private residence, hotel, clubhouse and so on.2. Throughcreativity and design, it reflects the sense of space, practicality,superiority, revolution, and highlights its humanity.2016/3--2017/12 Design Company Fashion Department - SoftDecoration Designer1. The design ofthe soft decoration scheme, budget, procurement, venue decoration, etc. in themodel room, private residence, hotel, clubhouse and so on.2. Throughcreativity and design, it reflects the sense of space, practicality,superiority, revolution, and highlights its humanity.2015/3--2014/1 Environmental Art Co., Ltd. Design Department- Master Designer1. Fromconception and drawing to three-dimensional modeling, provide complete designsolutions, including physical environment planning, interior space separation,decorative image design, interior supplies and complete facility configuration.2, throughcreativity and design, reflecting the sense of space, practicality,superiority, revolutionary, and highlighting its humanity.
Sales representative2015.10-2017.12 Chuanghuantechnology trading co. LTD.1, responsible for executing the Russian market implementation of planningand organizing activities2, responsible for the collection of web information, resource management;3, integrate internal and external resources, planning overseas brandpublicity of related productsSales representative2012.04-2015.09 Globalinternational trading co. LTD.1, market research, collect relevant market dynamics and analysis, providethe basis for leadership decision-making;2, according to the market demand and customer comments, for the company'sproducts, services, and promote the improvement opinions;Sales representative2011.02-2012.01 Onemonth heeducation technology co. LTD.1, perform conventional publicizing;2, according to a specified market promotion plan to implement the companydaily promotion, key projects, cooperation projects, product release PRplanning and execution
Guangzhou Friendship HotelAssistant Banquet Manager--responsible for planning and coordination of200 banquets and private parties per year for 10 to 500 guests (businessmeetings, personal celebrations, community events). Meal planning and themedevelopment in consultation with banquet hosts。Dongdan Restaurant.Waiter——Served in morningtea hall and lunch hall.
2017.07-2019.09 Bank of China Customer service Job description:lProviding custom serviceincluding 7*24 financial consultations, trading assistants, Q&As andcustomer cares through telephone and internet.lIn the cases of which clients’problems could not be solved online, transfer the information to the back staffto settle, and track the settlements before communicating with the clients.lAbiding the regulations andworking closely with the operating administration and other co-workers.2019.07-2020.09 Bank of China Customer service Job description:lProviding custom serviceincluding 7*24 financial consultations, trading assistants, Q&As andcustomer cares through telephone and internet.lIn the cases of which clients’problems could not be solved online, transfer the information to the back staffto settle, and track the settlements before communicating with the clients.
该活动选自于大主题《有趣的昆虫》,昆虫世界充满了生机,充满了趣味,无论是绚丽多彩的春天,还是骄阳似炎的夏天,大自然中随处可见昆虫忙碌的身影,面对这一切,成人可能会不屑一顾,而孩子却会欢呼雀跃,用充满好奇的眼睛去观望,用充满灵性的耳朵去聆听,还会迈开那双活泼好动的小脚去追逐,有趣的昆虫引发了孩子的好奇心,激发了孩子探索的欲望,因此我将选择其中的《美美和丑丑》这一活动来满足幼儿对昆虫的好奇心。
《幼儿园教育纲要》语言领域中提出 发展幼儿语言的关键是创设一个能使他想说、敢说、喜欢说、有机会说并能得到积极应答的环境 ” 以及要 “ 鼓励幼儿大胆、清楚地表达自己的想法和感受,发展幼儿语言表达能力和思维能力。听说游戏是为培养幼儿倾听和表述能力而专门设计的以游戏的形式组织的语言教育活动。根据这一目标和要求,结合大班幼儿的年龄特点和语言发展水平,制定了本次活动的目标:1 协助幼儿进一步提高迅速串接儿歌及仿编儿歌的能力。2 要求幼儿愉快地参与游戏活动,并遵守游戏规则。3 引导幼儿和同伴协调、友好地共同游戏。
游戏过程:1在场地上铺若干报纸 2用故事引出游戏:大灰狼睡醒了,要到森林里去吃小动物.如果小动物站在"魔毯"(报纸)上,大灰狼就看不见了 3音乐声中,幼儿分成两组:一组幼儿扮小动物到处走动或做小动物的动作,另一组由2-3名幼儿组成,扮成大灰狼,在旁边睡觉 4音乐停.小动物们赶快找一张"魔毯"站在上面,否则就被抓走
一、说教材: 该活动选自于大主题《有趣的昆虫》,昆虫世界充满了生机,充满了趣味,无论是绚丽多彩的春天,还是骄阳似炎的夏天,大自然中随处可见昆虫忙碌的身影,面对这一切,成人可能会不屑一顾,而孩子却会欢呼雀跃,用充满好奇的眼睛去观望,用充满灵性的耳朵去聆听,还会迈开那双活泼好动的小脚去追逐,有趣的昆虫引发了孩子的好奇心,激发了孩子探索的欲望,因此我将选择其中的《美美和丑丑》这一活动来满足幼儿对昆虫的好奇心。二、说教法: 在这一活动中,我为了让幼儿更形象、更直观的了解蝴蝶的生长历程,我将在活动中采用图片讲解法、碟片演示法、表演法、游戏法。
目标:1、能够在问题情境中积极探索与思考,在解决问题的过程中感受、体验数学的作用和有趣。2、运用分类、计数、统计、等分的方式公平地分配礼物。准备:1、经验准备:(1)具有初步的分类意识,能根据物体的颜色、大小等不同特征分类。(2)能够一一对应点数1~20以内的数量。(3)具有一定合作意识和经验。2、物质准备:(1)该活动以分组进行为宜。幼儿分成四组,每组四人。(2)每组一袋礼品,礼品袋分四种颜色(红、黄、蓝、绿),内有各种小礼物,数量以每人每样可以分到一至三个为宜。(3)与礼品袋颜色相对应的记录表每组四张。四种颜色的小标记每组若干。
点拨:旅游地旅游资源的特色不同,可以安排的旅游活动是不一样的,直接影响对旅游者的吸引力。因此,出游前首先就需要收集旅游地旅游资源的类型、主要游览景区、景点的特色等情况。旅游地的时空可达性直接关系到旅游者从出发地到旅游地,然后再返回出发地的费用和时间。一般来说,居住地与旅游地之间的空间距离过大,会使旅行的时间过长、旅行费用过高,经济距离增加,相应地降低了旅游者的出游能力。而居住地与旅游地相距遥远,也意味着两地之间巨大的环境差异,这会增加对游客的吸引力。旅游服务设施和条件,如旅游交通方式及工具、旅游住宿条件、旅游餐饮的种类和标准、导游服务、旅行费用等信息也都在一定程度上影响着游客的选择。图5.3西藏布达拉宫和图5.4云南香格里拉两幅图片显示了西藏布达拉宫、云南香格里拉与众不同的优美景观,吸引了众多的游客前来观光旅游,成为近年来国内旅游的热点。
教师姓名 课程名称数学班 级 授课日期 授课顺序 章节名称§2.1 不等式的基本性质教 学 目 标知识目标:1、理解不等式的概念 2、掌握不等式的基本性质 技能目标:1、会比较两个数的大小 2、会用做差法比较两个整式的大小 情感目标:体会不等式在日常生活中的应用,感受数学的有用性教学 重点 和 难点 重点: 不等式的概念和基本性质 难点: 1、会比较两个整式的大小 2、能根据应用题的表述,列出相应的表达式教 学 资 源《数学》(第一册) 多媒体课件评 估 反 馈课堂提问 课堂练习作 业习题2.1课后记
课题序号6-3授课形式讲授与练习课题名称等比数列课时2教学 目标知识 目标理解并掌握等比数列的概念,掌握并能应用等比数列的通项公式及前n项和公式。能力 目标通过公式的推导和应用,使学生体会从特殊到一般,再从一般到特殊的思维规律,初步形成认识问题、分析问题、解决问题的一般思路和方法 。素质 目标通过对等比数列知识的学习,培养学生细心观察、认真分析、正确总结的科学思维习惯和严谨的学习态度。教学 重点等比数列的概念及通项公式、前n项和公式的推导过程及运用。教学 难点对等比数列的通项公式与求和公式变式运用。教学内容 调整无学生知识与 能力准备数列的概念课后拓展 练习 习题(P.21): 3,4.教学 反思 教研室 审核
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
教师姓名 课程名称数学班 级 授课日期 授课顺序 章节名称§2.3 一元二次不等式教 学 目 标知识目标:1、理解一元二次不等式和一元二次方程以及二次函数之间的关系 2、理解一元二次不等式的解集的含义 3、一元二次不等式的解集与二次函数图像的对应 技能目标:1、会解一元二次方程 2、会画二次函数的图像 3、能结合图像写出一元二次不等式的解集 情感目标:体会知识之间的相互关联性,体会数形结合思想的重要性教学 重点 和 难点重点: 1、一元二次不等式的解集的含义 2、一元二次不等式与二次函数的关系 难点: 1、将一元二次不等式和一元二次方程以及二次函数联系起来 2、在函数图像上正确的找到解集对应的部分教 学 资 源《数学》(第一册) 多媒体课件评 估 反 馈课堂提问 课堂练习作 业习题2.3课后记本节课内容是比较重要的,是一元二次方程、一元二次函数、一元二次不等式的结合,相关知识点融会贯通,数形结合的思想方法在这有很好的运用。三种情况只要讲清楚一种,另外两种可由学生自行推出结论。