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学期教学计划体育(16篇)

格式:DOC 上传日期:2023-03-23 17:28:17
学期教学计划体育(16篇)
时间:2023-03-23 17:28:17     小编:zdfb

做任何工作都应改有个计划,以明确目的,避免盲目性,使工作循序渐进,有条不紊。计划怎么写才能发挥它最大的作用呢?以下我给大家整理了一些优质的计划书范文,希望对大家能够有所帮助。

学期教学计划体育篇一

认真贯彻教育部和省教育厅有关新课程改革的精神。以学生发展为本,使学生在获得作为一个现代公民所必须的基本化学知识和技能的同时,在情感、态度、价值观和一般能力等方面都能获得充分的发展,为学生的终身学习、终身受益奠定良好的基础。为新课程下的化学高考做准备。

1、认真学习新课标,转变教师的教学理念

加强教师教育教学的理论学习,研究新课标,组织切实有效的学习讨论活动,用先进的教育理念支撑深化教育改革,培养学生的合作交流意识

2、转变教师的教学方式转变学生的学习方式

教师要以新理念指导自己的教学工作,牢固树立学生是学习的主人,努力建立互动的师生关系。改变学生的学习方式为主,提倡研究性学习、发现性学习、参与性学习、体验性学习和实践性学习,以实现学生学习方式多样化地转变,促进学生知识与技能,情感、态度与价值观的整体发展,为学生的终身学习打下坚实的基础。

3、改变教师的备课方式,提高教师的备课质量

例题的选择,习题的配备与要求,可根据每个班级学生的实际,灵活处理。4、发挥备课组的集体作用

集体备课,集体讨论,补充完善。同时,根据各班的具体情况,适当进行调整,以适应学生的实际情况为标准,让学生学会并且掌握,教案应体现三维目标(知识与技能、过程与方法、情感态度与价值观),并及时反思、归纳总结修改。备课组要做到资源共享。作业在完成课本上的习题的基础上,根据不同层次的学生,要求完成补充习题。

新课程强调化学教学是化学活动的教学,《课程标准》要求教师备课的有效目标必须既注重学生能力的培养,又强调师生双边、多边活动的过程。设置问题应遵循由易到难、由简到繁、由浅到深,尽量让问题处在学生的“最近发展区”内。

突出促进学生、教师的发展,体现学科特点、教师特色,备课思路过程要有特色。

教师要了解学生的知识水平、心理状态、接受能力、兴趣爱好和个性差异,注重师生情感互动,让学生有一个宽松愉快的学习环境,为提高学习效率打下感情基础。

树立“团队”精神,注重发挥集体力量,提高备课的质量和效率,并及时在课后记下教学随笔,进行教学反思,并大力提倡“集体备课”方式。

2、授课要求

(1)新课程理念下的新授课应重视新知识的引入

(2)新课程理念下的新授课应树立化学课堂教学是化学活动的教学的观念。

(3)新课程理念下的新授课应鼓励学生自主探索与合作交流。

(4)新课程理念下的新授课应重视培养学生应用化学的意识和能力。

(5)新课程理念下的新授课应重视培养学生动手能力和实践创造精神。

3、高一化学教学作业布置与批改

作业是使学生掌握所学知识、培养各种能力的有效手段,也是记录学生成长和评价反馈的重要手段。应注意以下几点:

(1)适量性(2)层次性(3)针对性(4)实践性(5)探索性

课外辅导是教师完成教学任务的重要的辅助手段之一。形式可以有一般辅导、个别辅导、学生互相辅导。各班成立课外活动小组、兴趣小组、竞赛辅导小组等。

5、测验评价

必要的测验检查是检测教学效果、激励学生学习的一个有效方法。各专题及时过关考试,认真对待。

学期教学计划体育篇二

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学期教学计划体育篇三

根据《高中英语课程标准》和《考试说明》,针对学生实际,密切关注20xx年英语高考的动向,及时采取应对策略;认真研究教学方法、优化教学过程,通过各种有效教学活动,帮助学生构建完整清晰的知识网络;通过强化训练,使学生综合语言的运用能力有明显提高,并逐步达到高考要求;通过做好各类学生深入细致的思想工作,培养学生健康的学习心理和良好的应试能力。

(一)加强研究

1、研究《课程标准》、《高中英语课程教学要求》和《考试说明》,明确复习教学要求。关注自治区《20xx年考试说明》与《20xx年考试说明》之间变化。

2、研究高考试题,把握考试趋势。认真分析近几年高考英语试题、10年高考英语试题,特别是江苏卷、全国卷以及广东、山东、海南等课改地区的试卷。

3、研究高考信息和考试动向。及时了解20xx高考动态,适时调整复习方案。

4、研究我校英语教学情况、尤其是本届高三学生的学情。有的放矢地制订切实可行的校本复习方案。

(二)继续夯实基础

1、重视词汇的复习教学。研究《课程标准》和《考试说明》中词汇的内涵和外延,特别是动词的用法。注意词汇分级,区别对待。优化词汇的教学方法,不能以单词默写来代替词汇训练。注意20xx年新增词汇识记和运用。培养学生在语境中辨析词汇和猜测词义的能力,重点培养学生的语言运用能力。

2、重视语法的复习教学。帮助学生对语法进行有效的总结、归纳和梳理。一轮复习结束前完成语法项目的复习与训练。

(三)培养应试能力

1、加强对语篇阅读理解能力的训练与培养。坚持限时阅读训练,确保一定的阅读量,指导阅读的方法和技巧,不断提高阅读理解能力。

2、加强书面表达能力的训练与培养。指导学生写作方法,重视对热点话题、漫画的写作训练,提高写作能力。研究网上阅卷对学生答题的影响,规范学生书面表达的书写。

(四)提高复习实效

1、精选复习材料,提高复习效率。强化训练,帮助学生熟悉和掌握英语高考词汇的用法,教会学生解题的方法,形成规范答题的习惯,打好学生基础,努力提高学生综合运用语言能力。练习时要做到有练必查,有查必评,有错必纠。

2、关注非智力因素,放大复习效益。构建和谐教学氛围,关心学生身心健康。

(一)20xx年3月到4月中旬为专题训练阶段

专题训练含阅读、语法、词汇以及新高考题型等。这一阶段要突出阅读和写作的训练。注意参照《20xx年考试说明》中有关高考各题型时间分配的要求,强化各种新高考题型的限时训练工作。指导学生完成《高三英语复习资料》。

(二)4月中旬到5月中旬前为综合训练阶段

综合模拟训练应贯穿于高三英语教学的始终。该阶段重点培养学生的综合运用语言的能力以及应试能力,帮助学生积累考试的经验。要重视考后的反馈和反思工作。教法上要帮助学生克服在答题中存在的主要问题,积累解题经验,确保该得到的分不丢失。

(三)5月中旬后到高考前为冲刺调整阶段

逐日细化复习迎考安排,精选精讲试题,指导学生复习迎考的方法,调整学生的心态和生物钟,确保他们以最佳状态参加高考。

学期教学计划体育篇四

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学期教学计划体育篇五

本学期我班有 40个小孩,其中男孩 30人 ,女孩 11人 ,均为本学期刚刚入园的新生。在新生调查表中我们了解到:在我班共有5个幼儿上过小小班,对园内生活有了一定的经验和知识上的准备,所以大部分幼儿入园后能较快的适应新的环境,并能参与到教学活动中。大部分小孩在家受家人的宠爱,以自己为中心,来园时,哭闹情况多较,对父母和祖辈依赖性较强,一些幼儿抓做大人的脖子不肯放手,一些孩子手脚乱跳,还有一些孩子对家长又抓又咬,情绪很激动,在和幼儿接触和交谈中发现幼儿自理能力和行为习惯普遍较差,如:不会自己吃饭啊,不会入厕,有的个性较强,形成了许多的坏习惯,时常与同伴为了争抢玩具发生攻击行为,有的不和群,任性,有的说话不清楚———为了使这些幼儿能尽快稳定情绪,适应幼儿园的生活,养成良好的行为习惯,形成良好的常规意识,我们老师将齐心协力,团结合作,把更好的精力投入到工作当中去,使每为幼儿都能愉快的生活,取的可喜的进步。

以幼儿园工作规程为指针,根据园务工作计划,扎扎实实,作好保教工作和家长工作,主要抓好幼儿的一日常规教育及品德教育,增强幼儿体质,发展幼儿语言能力,注意智力的开发,使幼儿在体、智、德、美诸方面得到全面的发展。

总目标:

1、通过各种教育手段让幼儿能感受成人的关心和爱护,并激发其爱父母、爱老师的情感,会使用一些礼貌用语。

2、提醒帮助幼儿遵守集体生活行为规则,能和同伴共同游戏。

3、培养幼儿初步的自我服务能力,能参加简单的劳动,做自己能做的事。

4、调动幼儿的情绪参加各项活动,并能发表意见。

5、鼓励幼儿愿意与同伴交往。

6、能和家人、小朋友、教师等关系密切的人友好相处,知道应该关心别人。

7、学习分辨事物是与非的最基本的原则。

8、初步认识集体、公共等概念,学写有关有利与集体、公共等的基本原则。

1、本学期我们将以主题形式来布置环境,并与每月的主题活动密切配合,及时更换主题。同时充分利用废旧物品,以提供成品或半成品材料为主,鼓励幼儿动手参与,发展幼儿的协调能力、动手操作能力以及提高幼儿的环保意识。

2、活动区的设置涵盖着幼儿身心诸方面发展需要,满足幼儿的游戏兴趣,依据本班实际,建立合理的活动区规则,密切配合教学需要,定期添置、更换活动区材料、多提供半成品和非成品材料。

3、充分利用家长资源,鼓励家长与幼儿一起利用废旧物品进行手工制作,丰富我班的区域或墙饰。

1.“一切以幼儿利益优先”的工作原则,尊重幼儿,平等地对待幼儿。树立高度的教育意识,不断修正服务态度,围绕幼儿利益和为家长服务全方位地改善服务质量,使家长能真正感受到我们的一切工作都落实了“一切以幼儿利益优先”的原则,以诚信换取家长的信任。

2.“忠诚、敬业、服从、勤奋”地工作,与时俱进,积极调整心态,适应课改带来的变化,在探索中享受快乐,在反思中寻求发展,萌发内在的工作、学习动机,促进自我提升和集体事业的发展。

3、我和李老师刘老师是新组合,同时本班的班长杨老师正在休假中,这个学期由我担任暂时班长职务,因此对彼此工作的配合协调是一个较大的挑战,因此,我们必须在工作中加强彼此间的交流与配合、协调与联系,分析,如分工、时间配合、家长工作和教育、培养幼儿的方法上的差异,然后调整教育工作内容与措施,分工情况。使三人不断通过自身的调整,将个人意愿达成一致,团结协作,决不掉队。

4、牢固树立“终身学习”的意识,在职业道德和专业发展上要对集体、对自己负责任,积极参加各种研习活动和进修课程,不断更新知识、更新教育观念,提高业务水平和自身的素质。

9月保教、常规、德育及安全目标:

保教:

1、稳定幼儿情绪,制定计划。学习模仿操。

2、发动家长带一些玩具来幼儿园,让幼儿在集体活动中体验快乐。

3、环境布置,布置《我上幼儿园》主题活动

4、发放家园联系条。

常规:

1.幼儿进行常规教育。(要求幼儿学会洗手、入厕、大小便。)

2.安静就坐,愉快进餐,学会餐后擦嘴、漱口。

3.安静就寝,睡姿正确。

德育:

1、让幼儿学习儿歌,对幼儿进行礼貌教育;

2、鼓励幼儿高高兴兴上幼儿园;

3、教育幼儿同伴间互相友爱互相帮助

安全:

新生幼儿刚刚入园,一定要抓好幼儿接送证制度,两位老师都必须在场,一个老师送上接送车,一个老师看其他小朋友。与家长交流时,一个老师必须在看小朋友,不能两个老师同时与家长交流。

10月:保教、常规、德育及安全目标:保教:

1、环境布置,更改主题墙。

2、发动家长为幼儿收集一些秋天的水果和种子,丰富自然角。

3、继续丰富区角材料,开设感知区在感知区中投放一些秋天的水果,让幼儿看看、摸摸、听听、尝尝。

4、集一些纸盒,进行装饰。继续开展班特色活动。

5、放家园联系册。

常规:

1、 继续进行常规教育。

2、 离园时,收拾好玩具,排放好桌椅并与老师说“再见”后离园。

3、 在老师的指导下,玩户外大型体育器械。

德育:

1、教育幼儿好定息与别人分享,会谦让;

2、教育幼儿要爱护花草树木,不摘花;

3、培养孩子讲卫生,爱清洁的习惯;

4、教育幼儿爱护玩具,与同伴友爱地玩。

安全:

带班老师在带班时,每天都要注意是否有小朋友遗留在厕所、教室、午睡室。入厕所时,一定要有老师跟着,以免幼儿在上厕所时滑倒摔伤;洗手时注意幼儿不要把水龙头开的太大,以免弄湿衣服;教育活动时避免幼儿在教室乱跑乱撞;午睡时,带班老师一定要在场。

11月:保教、常规、德育及安全目标:

保教:

1、环境布置,提供一些有关各行各业人物的图片,让幼儿认一认,说一说。

2、组织幼儿一起进行种植活动,鼓励、引导幼儿共同来照顾自己的自然物。

3、 丰富区角活动材料,开展班级“喂娃娃”比赛。

4、 继续开展课题活动

5、 发放家园联系条

常规:

1、继续进行常规教育。

2、初步懂得遵守一些简单的游戏规则。

3、初步懂得遵守一些简单的游戏规则。

4、离园时,收拾好玩具,排放好桌椅并与老师说“再见”后离园。

德育:

1、 养幼儿初步的轮流、等待意识,让幼儿初步懂得生活中应遵守一定的规则与秩序;

2、 知道同伴间要团结友爱,相互帮助。

安全:

来园时要注意小朋友是否带有危险物品,如:别针、纽扣、小刀、硬币、铁丝、玻璃器皿等到幼儿园。如果有,教师要及时将其收藏,以免吞进肚里或刺伤其他小朋友。

12月保教、常规、德育及安全目标:

保教:

1、 环境创设,布置手帕专栏,供幼儿欣赏。

2、 继续丰富区角活动材料,开设娃娃家的同时,同时开设“小吃店”,培养的语言表达能力和合作能力。

3、 鼓励幼儿不怕冷,做个好宝宝,能坚持来幼儿园上课。]

常规:

1、 继续进行常规教育。

2、 洗手时不玩水,懂得节约用水。

3、 要求幼儿会用手帕擦嘴巴,擦鼻涕,吃饭时能吃完自己碗里的饭菜,并保持身上干净。懂得如何正确使用手帕。

4、 知道爱护用具与材料,不摔,不乱丢玩具。

德育:

1、培养孩子讲卫生,爱清洁的习惯;

2、 初步掌握日常生活中的简单礼貌用语“你好”、“请”、“谢谢”、“再见”等培养幼儿有礼貌的行为。

安全:

1、户外活动时,要稳定幼儿情绪,不让幼儿太激动,以免乱奔乱跑,发生意外

2、教育幼儿在转弯抹角的地方不能跑,防止碰撞。

1月保教、常规、德育及安全目标:

保教:

1、 更换主题环境。

2、 开展新年活动

3、 复习主题活动

常规:

1、在老师的指导下,玩户外大型体育器械。

2、学会与同伴一起游戏,懂得运用礼貌用语进行交往。

2、知道爱护用具与材料,不摔,不乱丢玩具。

德育:

1、初步掌握日常生活中的简单礼貌用语“你好”、“请”、“谢谢”、“再见”等培养幼儿有礼貌的行为。

2、培养幼儿翻阅图书和听成人朗读的兴趣。

安全:

来园时要注意小朋友是否带有危险物品,如:别针、纽扣、小刀、硬币、铁丝、玻璃器皿等到幼儿园。如果有,教师要及时将其收藏,以免吞进肚里或刺伤其他小朋友。

家长的支持对我们的教育工作至关重要,我们将充分挖掘家长的资源,做好家长工作。

1、“家园共育”是我们沟通的一个桥梁。我们会定期的向家长公布幼儿学习的内容,介绍一些育儿的经验和一些先进的信息,也请家长来谈谈自己的经验,摘取幼儿生活中的点滴。它是我们互通信息的纽带,只要我们教学需要,我们会请家长配合。

2、个别访谈。个别的交流、谈话不仅能增进相互之间的了解,也使家长和老师更容易沟通,更能清晰的了解自己孩子的优点和不足之处,从而对症下药。

3、“家园联系册”每月一次向家长汇报孩子的进步和存在的问题,家长也及时地反馈幼儿在家的表现,使我们彼此更加地了解,能更好地教育好孩子。

上学期幼儿整体发展较好,特别是走、跑等基本动作的协调性增强,适应能力、语言理解能力也有着不同程度的提高。相比较而言绘画方面、语言表达能力和说普通话还有待加强。说普通话在上学期是我们一直在强调的,由于家庭环境的影响、幼儿之间的相互影响,以至与孩子们当老师面说普通话,而私下里说家乡话。在这学期我们打算从源头抓起,对家长提出要求,并经常和乡音重的家长交流,转换他们的观念,从而形成说普通话的习惯。绘画方面就仅凭几次绘画活动对幼儿的提高是不会很明显的,我们打算利用下午的经常带幼儿进行绘画方面的练习来提高他们的能力。语言表达能力的提高只有通过多听、多说实现。

本学期我们将进行五个主题的活动,分别是《快乐的节日》、《车子叭叭叭》、《春天真美丽》、《大和小》、《蔬果舞会》。

三月份进行《快乐的节日》和《车子叭叭叭》两个主题。

目标:1、认识元宵节和“三八”妇女节,加深对我国传统节日和传统风俗的认识。

2、引导幼儿热爱并学会关心自己的妈妈,学习帮着妈妈做些力所能及的事情。

3、学习撕纸、粘贴的简单技能,形成对撕纸活动的兴趣。

4、学习按照车子的特征进行分类,了解不同种类汽车的用途。

5、用简洁的语言讲述与车子有关的经验。

6、愿意与同伴分享自己的物品。

7、进餐时情绪愉快,懂得情绪愉快对健康有益。不挑食、偏食。

四月份进行《春天真美丽》这一主题。

目标:1、学会用形容词描绘春天的景色,如:红红的桃花、绿绿的叶子等。

2、引导幼儿根据教师的语言指导观察春天的基本特征,感受春天的美。

3、学习用鲜艳的颜色表现春天的色彩,培养幼儿大胆作画的习惯。

4、引导幼儿用正确的姿势唱歌,要求吐字清楚,声音自然,并能按照歌曲节奏边唱边拍手。

5、形成说普通话的习惯,能用普通话与教师、同伴交流。

五月份进行《大和小》这一主题。

目标:1、初步了解短文的清洁内容或画面情景,能用语言、动作、表情等表现对文学作品的理解。

2、学习按照物体大小进行分类和排序。

3、能跟随儿歌节奏做手指动作。

4、能画出大小不同的几种物体。

5、不随便和陌生人说话,不接受陌生人的礼物,不跟陌生人走。

六月份进行《蔬果舞会》这一主题。

目标:1、会根据水果的某一种特征进行分类。

2、认识常见的蔬果,尝试分辨水果的味道。

3、用身体创造性地表现各种水果。

4、学习对唱和仿编歌词。

5、知道自己要升中班了,有升班的愿望。

本学期我们除了延续上学期的娃娃家、美工区、建筑区、阅读区、计算区、娱乐区、音乐区外,我们还将增加科学区。科学区的游戏我们会结合主题内容进行定时的更换,我们也希望通过科学区的增设来培养幼儿良好的观察习惯,通过积累一定的知识进一步大胆的表述。具体实施内容如下:

娃娃家:我们会结合主题活动不断增加游戏场景,从而提升幼儿对此游戏活动的兴趣。除外幼儿在游戏活动中的交往能力、互助的品质、协商解决问题方法也是要重点培养的。

音乐区:从上学期的情况来看,幼儿对于简单的打击节奏似乎不太感兴趣,这学期我们将会多投放些舞蹈道具,满足幼儿不断增长的表演欲望。此外在音乐的选择上还应多选幼儿熟悉的,活动中教授的。

美工区:上学期幼儿对于油泥非常感兴趣,因此玩的较多些。而折纸和绘画相对要少些,这学期我们将重点放在这两方面的培养上。因为绘画是我班幼儿的弱项,所以在每周下午我们还会不定时的对幼儿进行这方面的训练。

建筑区:幼儿对与垒高、围合这些基本的技能已经掌握,这学期主要是结合主题有目标的进行搭建,例如:《车子叭叭叭》这一主题时可以想象搭出不同形状的车;《春天真美丽》主题可以搭建公园等等。

计算区:这学期的计算活动比较具体且有连续性,因此我们会将课上的计算练习投入到计算区中,并根据课程的学习进度不断更换。

阅读区:这学期主要以讲述为主,因为讲述是我班

幼儿的弱项,有相当一部分幼儿不敢在集体面前说话,而在阅读区里人少,加之又有幼儿熟悉的图书,他们应该能够自如讲述。

娱乐区:这个区我们用来满足个别性格比较古怪的孩子,他们有时会对以上活动都没有兴趣,这时我们会让他们去寻找自己乐意玩的材料在娱乐区玩。

1、新学期家长会

会上除了总结上学期幼儿情况,介绍本学期教学、教研计划外,还要针对某些家长表现出的不正确育儿方法进行探讨。

2、每月的家长园地

主要向家长介绍一些好的育儿经验、本月的教学内容和家长工作。

3、家访

对新生、病儿、特殊幼儿进行家访。

4、举办各种有趣味的亲子活动。

5、举办家长半日观摩活动。

6、不定时的和每位家长进行交流,及时反馈幼儿在园情况。

7、配合园内教研活动,将家中的废旧物品带来幼儿园。

上学期幼儿已经了解了最简单的环保知识,这学期在不断丰富他们的环保知识的同时,还要切实的开展一些关于环保方面的活动。三月份我们首先让幼儿了解3月12日是植树节,届时我们将开展领养小树苗或种植花朵的活动。其次围绕主题活动《车子叭叭叭》,我们将带领幼儿利用废旧材料制作各种各样的汽车。四月份我们将围绕地球和卫生(4月7日世界卫生日;4月22日世界地球日)开展“怎样保护地球”的大讨论,同时我们也将带领幼儿去园外清理草坪,让他们通过行动切身感受到保护地球的重要性。五月份天气转暖比较适合外出,我们打算本月在户外开展一次亲子活动,内容为手工制作“春天”,而材料都选择平日里保留下来的废旧物品。在“六一”儿童节那天我们会将优秀作品向全园幼儿、家长展示。六月份有个重要的节日,6月5日世界环境日,这天我们会将平时制作好的“少一点废物,多一些绿色”的宣传卡分发到路人和家长的手中,从而提醒大家共同保护环境。本学期我们除了带领幼儿开展环保活动外,还将在班级外墙开设“环保专栏”,向家长们宣传一些环保小窍门,希望通过大家的努力,来共同爱护我们的地球。

学期教学计划体育篇六

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学期教学计划体育篇七

27班学生都已经熟练地掌握了汉语拼音,有了一定的自主识字能力,能按汉字的笔画、笔顺、偏旁和结构分析识记字形,并能通过查字典自主了解字义。。养成了良好的听说习惯,能联系上下文理解词义,运用学过的词语说一句完整的话。孩子们已经喜欢上了课外阅读,学会了摘抄好词好句并运用到自己的习作中来。从学习态度来看,大部分学生学习认真,上课能专心听讲,积极举手发言,课后能按时完成作业。但也有少数同学基础较差,学习兴趣不够,对自己缺乏信心,没有养成良好的学习习惯,阅读和表达能力还需大力培养。

本册教科书仍然以单元版块的形式组成,共8个单元,每单元4篇课文,全册共32 篇课文。每单元由课文、课后习题、语文乐园三部分组成,它们之间相互联系、相互促进,相成整体。课后题一般设置2-4个,大部分为3道题。第1题多为朗读、背诵,体现“以读为主”的阅读教学基本原则;第2、3题重在内容的理解,语言的训练和积累;体现语文的学科特点;有的课后题还涉及到拓展延伸或说写训练,以增强学生的语文素养。语文乐园则注重培养学生的语文实践能力,安排了活动、阅读、口语交际、习作等内容,有利于提高学生的语文综合素养。但是,本册教材生字的编排仍然存在问题:一是认、写的生字交叉、重复;二是会写的生字未标音节,这就给“读准字音”带来困难,教师必须查检工具书,帮助学生读准字音。而且本册教材依然没有把阅读训练与习作训练融为一体。阅读教材的范文性不强,不能对习作训练起到实际的指导作用。

1.全册共认识常用汉字184个,会写244个,养成良好的写字姿势和良好的写字习惯。

2.用普通话正确、流利、有感情地朗读课文。

3.初步学会默读。能对课文中不理解的地方提出疑问。

4.能联系上下文理解词句的意思,借助字典和生活积累理解生词的意义。

5.初步把握文章的主要内容,体会文章表达的思想感情。

6.感受作品中生动的形象和优美的语言,关心作品中人物的命运和喜怒哀乐,与他人交流自己的阅读感受。

7.体会句号与逗号的不同用法,了解冒号、引号的一般用法。

8.积累课文中优美词语,精彩句段以及在课外阅读和生活中获得的语言材料。

9.在诵读优秀课文的过程中领悟内容、体验情感,并背诵指定的课文。

1 .教学重点:

阅读教学;识字教学;口语与习作教学;扩大学生课外阅读量,培养学生的学习兴趣,提高学生学语文、用语文的能力。

2 .教学难点:

阅读教学、习作教学与学生语文综合实践能力的培养。

3.教学关键 :

在学生课堂生成的资源中寻找契机,根据学生实际水平促进学生的发展。

1.让每个孩子都找到好学生的感觉。让体会到学习的乐趣,主动获取知识,去探究问题,使他们处在真正的自主状态中,潜能得到开放,天性得到尊重。

2.识字和写字教学仍应遵循识字、写字分开,多认少写的原则,利用多种方法识字,培养学生的自主识字能力。

3.根据教材内容和学生的实际情况,创设开放性的课堂,做到教学方法多样,形式活泼有趣。给学生创造各种展现自我的机会,激发学生听说的愿望,让每一个孩子都有练习的机会。

4.阅读教学要训练学生逐步学会阅读,培养阅读能力。重视朗读训练,在朗读中发展学生的语言和思维。课堂上要有充分时间进行朗读训练,要人人都有读的机会。

5.利用班级图书角,培养学生的课外阅读兴趣,背诵优秀诗文,摘抄好词佳句,积累词语,坚持每天读一篇课外读物。课外阅读总量不少于10万字。。

6.继续做好培优补差工作,充分调动潜能生的学习积极性,全面提高教学质量。

7.老师自身积极学习业务知识与理论,多向有经验的老师学习,为提高课堂效率创造必要的条件。

周次教学内容安排课时安排第一周入学教育、《为成长鼓掌》、《太阳,你好》5 课时第二周《我发现了新的流星群》、《古诗二首》5 课时第三周《语文乐园一》、作文:漫谈星空、《家乡的桥》6 课时第四周《秋的原野》、《仙人掌王国》、《神奇的鸟岛》6 课时第五周国庆放假

第六周《语文乐园二》、作文:我喜欢的花 《打开大自然绿色的课本》、6 课时第七周《海浪花变成的镜子》、《心愿》 、《少年总编》6 课时第八周《语文乐园三》、作文:他这样是否值得、

《人们怎样传递信息》、6 课时第九周《飞翔的信念》、《玻璃公公一家》《会说话的产品》、、6 课时第十周《语文乐园四》、作文:绕口令比赛 、《井冈山》、6 课时第十一周《神圣的路程》 、《晏子使楚》、5课时第十二周《古诗二首》 、《语文乐园五》、作文:转述故事、6 课时第十三周《《比金钱更重要》、 《父爱深深》、4 课时第十四周《雪姑娘》、 《黄昏的蝉》、4 课时第十五周《语文乐园六》、作文:广告 、《提灯女神》、6 课时第十六周《卖报歌》的诞生 、《勇敢的少年》、4 课时第十七周《生命的签证》、《语文乐园七》 、作文:写信、6 课时第十八周《寓言二则》、《小人国》、《希望戒指》6 课时第十九周《斑竹姑娘》、《语文乐园八》、作文:猜灯谜活动6 课时第二十周总复习6课时

教学考查分朗读、写字、说话等多项内容,由学生自评、小组互评、教师评价相结合,期中、期末两次检测。

指导思想:提高优生的自主和自觉学习能力,进一步巩固并提高中等生的学习成绩,帮助潜能生取得进步,让潜能生在老师和同学的帮助下养成良好的学习习惯,逐步提高学习成绩。

培优对象:朱奕、严紫瑶、徐奕璠、刘宜萱、蒋睿涵、徐晗舒

辅差对象:王怀远、马兴权、李莎蔓

主要措施:

1.课外辅导,利用课余时间加以辅导和训练。

2.采用一优等生带一差生的一帮一行动。

3.课堂上创造机会,多给后进生一些表现和展示自己的机会。

4.采用激励机制,对后进生的每一点进步都给予肯定。

5.多与家长联系,共同商讨解决问题的办法。

学期教学计划体育篇八

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学期教学计划体育篇九

1、掌握100以内笔算加、减法的计算方法。能够正确地进行计算。初步掌握100以内笔算加、减法的估算方法,体会估算方法的多样性。

2、知道乘法的含义和乘法算式中各部分的名称,熟记全部乘法口诀,熟练地口算两个一位数相乘。

3、初步认识长度单位厘米和米,初步建立1米、1厘米的长度观念,知道1米=100厘米;初步学会用刻度尺量物体的长度,初步形成估计物体长度的意识。

4、初步认识线段,会量整厘米线段的长度;初步认识角和直角;知道角的各部分名称;会用三角板判断一个角是不是直角;初步学会画线段、角和直角。

5、能辨认从不同位置观察到的简单物体的形状;初步认识轴对称现象,并能在方格纸上画出简单图形的轴对称图形;初步认识镜面对称现象。

6、初步了解统计的意义, 体验数据的收集、整理、描述和分析的过程,会用简单的方法收集和整理数据。初步认识条形统计图(1格表示2个单位)和统计表,能根据统计表中的数据提出并回答简单的问题。

7、通过观察、猜测、实验等活动,找出最简单的事物的排列数和组合数。培养学生初步的观察、分析及推理能力,初步形成有顺序地、全面地思考问题的意识。

8、体会学习数学的乐趣,提高学习数学的兴趣,建立学好数学的信心。

9、养成认真作业、书写整洁的良好习惯。

10、通过实践活动,体验数学与日常生活的密切联系。

本学期教材内容包括下面一些内容:

100以内的加、减法的笔算,表内乘法(一),表内乘法(二),认识长度单位厘米和米,初步认识角,从不同的位置观察物体和简单的对称现象,简单的数据整理方法和以一当二的条形统计图,数学广角和数学实践活动等。

在数的计算方面。计算教学是100以内的加、减法笔算和表内乘法。是进一步学习计算的重要基础。特别是表内乘法是学习多位数乘法的基础。因为任何一个多位数乘法,在计算时都要分成若干个一位数和一位数相乘。因此,表内乘法同20以内的加、减法一样,是小学数学的重要基础知识,是小学生需要掌握的基本技能之一,必须达到计算正确、迅速。同时,100以内的加、减法笔算和表内乘法是人们在日常生活中解决问题时经常用到的数学知识与技能。因此,教材安排了运用这些知识解决问题的教学,使计算教学与解决问题教学有机的结合在一起。这不仅有助于学生了解数学知识与现实生活的联系,也有助于培养学生应用所学数学知识解决实际问题的能力。

在量的计量方面,教材出现厘米和米的认识,让学生通过各种自主探索的学习活动,理解使用统一的长度单位进行测量的必要性,建立1厘米和1米的长度观念,初步学会用尺量物体的长度。

在空间与图形方面,教材安排了初步认识线段与角、从不同的位置观察物体和简单的对称现象等教学内容,使学生通过观察、操作,初步认识线段,角和直角,轴对称和镜面对称现象,能辨认从不同位置观察到的简单物体的形状,形成初步的空间观念。

在统计知识方面,教材安排的是简单的数据收集和整理的方法,认识以一当二的条形统计图,让学生经历用统计方法解决问题的过程。

“数学广角”是新的教学内容,介绍了简单的组合思想和逻辑推理方法,培养学生初步的观察、分析及推理能力,以及有顺序地、全面地思考问题的意识。

教材还根据学生所学习的数学知识和生活经验,安排了两个数学实践活动,让学生通过小组合作的探究活动或有现实背景的活动,运用所学知识解决问题,体会探索的乐趣和数学的实际应用,感受用数学的愉悦,培养学生的数学意识和实践能力。

经过一学年的学习,我们班的学生对数学已经有了一定的认识,全班同学的数学成绩相差也不是很大。但还是有7、8个学生在数学的学习中比较吃力。绝大部分同学上课专心听讲,积极思考并回答老师提出的问题,下课能够按要求完成作业,具有良好的学习习惯。但是也有一部分学生的学习习惯较差,有的上课精力不集中,思想经常开小差,纪律性不强。老师布置的作业经常完不成,以致学习成绩较差,为了激发学生的数学学习兴趣,更好的培养学生的科学世界观,针对本班的实际情况,因此,在这一学期的教学中我会更多关注后进生学生学习兴趣和学习方法的培养上,重在培养学生的学习习惯,努力使不同的学生得到不同的发展。

1、要从整体上把握教学目标。根据教学指导纲要,结合教学进行适当的调整。要防止加重学生的学习负担。

2、要尊重学生,注重学法渗透。在学习中,教师不要包办代替和以讲代学,要把课堂中更多的时间留给学生探索、交流和练习。

3、要注意培养学生的数学概括能力和逻辑思维能力。要重视学生获取知识的思维过程。

4、要注重培养学生的计算能力和解答应用题的能力,还鼓励学生动用所学的知识解答日常生活和学习中的简单实际问题。激发学生的兴趣,培养学以致用的意识。

5、要注意适当渗透一些数学思想和方法,有利于学生对某些数学内容的理解。

6、要注意教学的开放性,培养学生的创新意识和实践能力。课本中的一些例题和习题的编排,突出了思考过程,教师在教学时,要引导学生暴露思维过程,鼓励学生多角度思考问题。

7、要精心设计教案,注重多媒体的应用,使学生学得愉快,学得轻松,觉得扎实。

8、要渗透德育,注重培养学生良好的学习习惯和独立思考、克服困难的精神。

全册课时安排(约60课时)

(一)、长度单位(4课时左右)

(二)、100以内的加、减法(二)(13课时左右)

1、两位数加两位数………………………………………………3课时左右

2、两位数减两位数………………………………………………5课时左右

3、连加、连减和加减混合………………………………………4课时左右

整理和复习………………………………………………………1课时左右

我长高了…………………………………………………………1课时左右

(三)、角的初步认识(2课时左右)

(四)、表内乘法(一)(13课时左右)

1、乘法的初步认识………………………………………………3课时左右

2、2——6的乘法口诀

5的乘法口诀……………………………………………………2课时左右

2、3、4的乘法口诀……………………………………………4课时左右

6的乘法口诀……………………………………………………3课时左右

复习和整理………………………………………………………1课时左右

(五)、观察物体(4课时左右)

(六)、表内乘法(二)(13课时左右)

7的乘法口诀……………………………………………………5课时左右

8的乘法口诀……………………………………………………3课时左右

9的乘法口诀……………………………………………………4课时左右

整理和复习………………………………………………………1课时左右

看一看 摆一摆…………………………………………………1课时左右

(七)、统计(3课时左右)

(八)、数学广角(2课时左右)

(九)、总复习(4课时左右)

教学重点:100以内的加、减法笔算,表内乘法。

教学难点:100以内的加、减笔算,以及数学实践、数学思维的训练。

课程改革的关键是课程的实施,而课程实施的基本途径是教学。因此,教学改革是课程改革成功的根本保证。教学必须通过师生的教学活动去完成。我校强调建立促进学生全面发展,老师不断提高和课程不断发展的评价体系,在综合评价的基础上,更关注个体的进步和多方面的发展。个体发展倡导档案袋评价,各方面成绩,日记等评价方法,强调多元化评价制度,重视评价的激励与改进功能。

通过教学,培养学生数学素养,建立知识与生活的联系,加强动手实践与自主探索,养成数学思想方法,获得学习的兴趣与内在动机,促进审美和唯物主义价值观。 新课程的培养目标指导我们,要使学生具有爱国主义、集体主义精神,热爱社会主义,继承社会主义民主法制意识,遵守国家法律和社会公德;逐步形成正确的世界观,人生观,价值观;具有社会主义责任感,努力为人民服务,要使学生成为有理想、有道德、有文化、有纪律的一代新人。针对学生的德育基础,结合学生的实际开展德育教育。因此在数学学科的教学中,有责任也应有目的地对学生进行思想品德的培在数学课教学中渗透德育,犹如“春雨润物细无声”,在学生纯洁无瑕的心田里,种下美好的种子,必能开出绚丽的花朵。这种潜移默化的德育渗透,是其它德育方法无法代替的。因此,做为一名数学教师要提高渗透的自觉性,把握渗透的可行性,注重渗透的反复性。我相信只要在教学中,结合学生思想实际和知识的接受能力,点点滴滴,有机渗透,耳濡目染,潜移默化,以达到德育、智育的双重教育目的。以期能使学生逐渐形成良好的品性,不断规范自己的行为。

我的课题是:

培养学生数学思维的能力

运用现代教育理论与教育思想,通过教学改革与实验,建构基于信息技术环境的各类教与学模式,探索信息技术环境下的教学设计理论,探索利用网络资源的途径与方法,促进教育教学的深化改革。

1.促进信息技术与学科课程整合

通过研究与实践,使信息技术更能为学习者提供一个建构主义的学习环境,培养学生的创新精神和实践能力。

2.、完善和发展教学设计理论

信息技术环境下的教学与传统教学,不仅是教学环境的不同,在教学内容、教学手段、教学传播形式上都有本质的区别。在信息技术环境下,如何进行教学设计,是对教学设计理论的完善和发展。

3建构基于多媒体和网络环境的新型教学(学习)模式

通过研究和实践,建构一批基于多媒体和网络环境的新型教学(学习)结构和教学(学习)模式,有效促进教学改革,提高学科教学质量,培养学生的创新精神与实践能力。

学期教学计划体育篇十

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学期教学计划体育篇十一

这个学期我们学校的教学任务十分的繁重,虽然国家在深化教育改革,提倡素质教育,可是正因为如此,我们学校坚决贯彻实行这一决策,结果学生的成绩出现大滑坡,学校建设出现了严重的问题。国家制定的政策市没有任何问题的,关键是我们学校执行的力度和尺度问题,这需要我们深思。我们可能在执行素质教育的时候过头了,没有做好学生成绩的提高工作,这是需要我们改正的地方我们一定不能再这样下去了,必须要提出新的改革的方针。因此我们学校这一学期制定了针对性很强的教学工作计划:

围绕学区本学期工作重点,继续规范教学常规管理,深化课堂教学改革,严把教学质量观,全面推进课改进程。

1、规范教学管理,健全机制、完善制度,深入开展创新教学方式和学习方式的研讨与实践;

2、使学校教学工作科研化、教学研讨经常化、教学管理规范化,全面育人个性化。

3、真正更新教师观念,促进骨干教师的成长,全面提升教师的整体素质;

4、强化教育科研,促进教学和科研一体化;

(一)开展多种形式的校本教研,挖掘教师个人潜能,发挥群体优势,提高教研的实效性。

1、充分发挥教师团结、协作精神,强化团队意识,加强教研凝聚力。

2、教师要按时参加各级教研、进修活动,做好记录。骨干教师参加进修活动后,要及时进行精神传达。

(二)实施校本培训,切实提升教师素质。

1.加强骨干教师、青年教师队伍建设与管理,以点带面促进良好教风的形成。加强骨干教师培养、管理、使用制度制定与落实,切实发挥其辐射作用,真正起到学校教学中坚力量的带头作用:骨干教师、学科带头人每学期做一节公开课(保存资料)

2.采取多种形式,强化教师自我学习、自我提高的自觉性与主动性。每学期教师听课不少于20节。由学校组织全体教师利用专用时间进行业务学习。组织学习现代教育理论;组织收看优秀教师的录像课;组织教师结合教学实践,撰写教学反思、教学笔记,进行业务交流(教师的学习笔记、论文等)——教师写学习笔记每月2篇。加强校本培训与教研,加快提升教师素质,借助外援,适时聘请专家来校传经送宝。分学科进行两至三次教学专题研讨活动

(三)加强教学常规管理,完善各种教学制度,规范教师教学行为。

1.修改完善教学常规管理制度,重点推进,逐项贯彻落实。强化教师课堂教学常规的贯彻、落实与检查,加强常态课堂教学管理。做到此项工作的经常化、制度化,奖惩分明。

2.加强对教师备课上课、作业、辅导等常规管理力度,辅导、检查、评优相结合,备课:普查、抽查与复查结合。开学初普查,两周内对有问题的教师教案进行重点复查;期中抽查部分教师教案;期末进行教案综合评优。

(四)强化质量意识,进行严谨、科学、循序渐进的质量监控,切实保证学校教学水平、学生学习质量的稳步提高。

1.营造英语学习氛围,调动学生学习英语积极性,提高英语教学质量。

2.严格各种检测考试、考务管理以保证措施得力、贯彻落实到位。以提高教师的质量意识,促进师生协调发展。

3.继续做好单元检测把关,单元练习随教学进度,统一时间进行检测。认真及时批阅、试卷分析、学生错误订正。科学使用检测结果,及时调整教学策略,补救方法进行查漏补缺,弥补教学不足。

4.加强对学生语、数、英三科知识与能力的单项训练与同步验收。语文:字词、朗读、查字典等;数学:口算、计算、应用题等;英语:以单词、背诵为主。

5.教导处及时了解学校教学质量状况,采取措施进行宏观调控。

(五)关注学生差异,切实做好随班就读工作:

关注学困生,耐心进行学困生的帮助、转化工作;认真做好随班就读的各项工作,提高随班就读学生的学习质量。继续各班随班就读学生辅导制度,语文、数学、英语等主科教师坚持个别辅导,采取因人而异因材施教的方法,使得每一个学生得到发展。

(六)结合课改工作,开展各种形式的专题教学研讨,促教师教学水平、学生学习质量的提高。

1、推门课:加强学校听推门课的力度,了解掌握教师、学生的教学、学习常态,进行有效的监督、监控,检查与指导,提高教师课堂教学效率、学生学习效果。

2、复习课:认真上好期末复习课,探索对学生科学、有效的复习指导方法。

3、示范课:进行骨干教师、学科带头人献课活动。

4、开放课:进行全校家长开放日教学研讨活动,原则上教师人人参与。对外宣传学校办学水平、展示教师教学风采。(时间另定)

5、评优课:开展学校校内评优课,评选校级优秀课,进行表彰。

6、研究课:适时组织学科教学研究课,人人参与互动,研究、探索学科教学模式。(语、数、科任学科各两节,时间另定)

7、听课:第2、3周进行全校任课教师普听课,促教师、学生及早进入新学期教学状态,并进行教学。

只要我们认真学习这学期的教学工作计划,将计划领悟透了,在执行计划的时候才会胸有成竹的实行,这是我们学校教学成绩复兴的重要学期,如果执行不好的话,我们学校在下学期招生的时候都会出现问题。

所以我们学校决定实行问责制,哪个老师学不好,教不会,领悟不透精神,那我们只好说不好意思,你请另谋高就吧。现在的竞争是如此的激烈,我们也是不得已才出此下策,这是我们必须的任务。

学期教学计划体育篇十二

(一)教学目标

1.知识与技能

(1)理解两个集合的并集与交集的含义,会求两个简单集合的并集和交集.

(2)能使用venn图表示集合的并集和交集运算结果,体会直观图对理解抽象概念的作用。

(3)掌握的关的术语和符号,并会用它们正确进行集合的并集与交集运算。

2.过程与方法

通过对实例的分析、思考,获得并集与交集运算的法则,感知并集和交集运算的实质与内涵,增强学生发现问题,研究问题的创新意识和能力.

3.情感、态度与价值观

通过集合的并集与交集运算法则的发现、完善,增强学生运用数学知识和数学思想认识客观事物,发现客观规律的兴趣与能力,从而体会数学的应用价值.

(二)教学重点与难点

重点:交集、并集运算的含义,识记与运用.

难点:弄清交集、并集的含义,认识符号之间的区别与联系

(三)教学方法

在思考中感知知识,在合作交流中形成知识,在独立钻研和探究中提升思维能力,尝试实践与交流相结合.

(四)教学过程

教学环节 教学内容 师生互动 设计意图

提出问题引入新知 思考:观察下列各组集合,联想实数加法运算,探究集合能否进行类似“加法”运算.

(1)a = {1,3,5},b = {2,4,6},c = {1,2,3,4,5,6}

(2)a = {x | x是有理数},

b = {x | x是无理数},

c = {x | x是实数}.

师:两数存在大小关系,两集合存在包含、相等关系;实数能进行加减运算,探究集合是否有相应运算.

生:集合a与b的元素合并构成c.

师:由集合a、b元素组合为c,这种形式的组合就是为集合的并集运算. 生疑析疑,

导入新知

形成

概念

思考:并集运算.

集合c是由所有属于集合a或属于集合b的元素组成的,称c为a和b的并集.

定义:由所有属于集合a或集合b的元素组成的集合. 称为集合a与b的并集;记作:a∪b;读作a并b,即a∪b = {x | x∈a,或x∈b},venn图表示为:

师:请同学们将上述两组实例的共同规律用数学语言表达出来.

学生合作交流:归纳→回答→补充或修正→完善→得出并集的定义. 在老师指导下,学生通过合作交流,探究问题共性,感知并集概念,从而初步理解并集的含义.

应用举例 例1 设a = {4,5,6,8},b = {3,5,7,8},求a∪b.

例2 设集合a = {x | –1

例1解:a∪b = {4, 5, 6, 8}∪{3, 5, 7, 8} = {3, 4, 5, 6, 7, 8}.

例2解:a∪b = {x |–1

师:求并集时,两集合的相同元素如何在并集中表示.

生:遵循集合元素的互异性.

师:涉及不等式型集合问题.

注意利用数轴,运用数形结合思想求解.

生:在数轴上画出两集合,然后合并所有区间. 同时注意集合元素的互异性. 学生尝试求解,老师适时适当指导,评析.

固化概念

提升能力

探究性质 ①a∪a = a, ②a∪ = a,

③a∪b = b∪a,

④ ∪b, ∪b.

老师要求学生对性质进行合理解释. 培养学生数学思维能力.

形成概念 自学提要:

①由两集合的所有元素合并可得两集合的并集,而由两集合的公共元素组成的集合又会是两集合的一种怎样的运算?

②交集运算具有的运算性质呢?

交集的定义.

由属于集合a且属于集合b的所有元素组成的集合,称为a与b的交集;记作a∩b,读作a交b.

即a∩b = {x | x∈a且x∈b}

venn图表示

老师给出自学提要,学生在老师的引导下自我学习交集知识,自我体会交集运算的含义. 并总结交集的性质.

生:①a∩a = a;

②a∩ = ;

③a∩b = b∩a;

④a∩ ,a∩ .

师:适当阐述上述性质.

自学辅导,合作交流,探究交集运算. 培养学生的自学能力,为终身发展培养基本素质.

应用举例 例1 (1)a = {2,4,6,8,10},

b = {3,5,8,12},c = {8}.

(2)新华中学开运动会,设

a = {x | x是新华中学高一年级参加百米赛跑的同学},

b = {x | x是新华中学高一年级参加跳高比赛的同学},求a∩b.

例2 设平面内直线l1上点的集合为l1,直线l2上点的集合为l2,试用集合的运算表示l1,l2的位置关系. 学生上台板演,老师点评、总结.

例1 解:(1)∵a∩b = {8},

∴a∩b = c.

(2)a∩b就是新华中学高一年级中那些既参加百米赛跑又参加跳高比赛的同学组成的集合. 所以,a∩b = {x | x是新华中学高一年级既参加百米赛跑又参加跳高比赛的同学}.

例2 解:平面内直线l1,l2可能有三种位置关系,即相交于一点,平行或重合.

(1)直线l1,l2相交于一点p可表示为 l1∩l2 = {点p};

(2)直线l1,l2平行可表示为

l1∩l2 = ;

(3)直线l1,l2重合可表示为

l1∩l2 = l1 = l2. 提升学生的动手实践能力.

归纳总结 并集:a∪b = {x | x∈a或x∈b}

交集:a∩b = {x | x∈a且x∈b}

性质:①a∩a = a,a∪a = a,

②a∩ = ,a∪ = a,

③a∩b = b∩a,a∪b = b∪a. 学生合作交流:回顾→反思→总理→小结

老师点评、阐述 归纳知识、构建知识网络

课后作业 1.1第三课时 习案 学生独立完成 巩固知识,提升能力,反思升华

备选例题

例1 已知集合a = {–1,a2 + 1,a2 – 3},b = {– 4,a – 1,a + 1},且a∩b = {–2},求a的值.

【解析】法一:∵a∩b = {–2},∴–2∈b,

∴a – 1 = –2或a + 1 = –2,

解得a = –1或a = –3,

当a = –1时,a = {–1,2,–2},b = {– 4,–2,0},a∩b = {–2}.

当a = –3时,a = {–1,10,6},a不合要求,a = –3舍去

∴a = –1.

法二:∵a∩b = {–2},∴–2∈a,

又∵a2 + 1≥1,∴a2 – 3 = –2,

解得a =±1,

当a = 1时,a = {–1,2,–2},b = {– 4,0,2},a∩b≠{–2}.

当a = –1时,a = {–1,2,–2},b = {– 4,–2,0},a∩b ={–2},∴a = –1.

例2 集合a = {x | –1

(1)若a∩b = ,求a的取值范围;

(2)若a∪b = {x | x<1},求a的取值范围.

【解析】(1)如下图所示:a = {x | –1

∴数轴上点x = a在x = – 1左侧.

∴a≤–1.

(2)如右图所示:a = {x | –1

∴数轴上点x = a在x = –1和x = 1之间.

∴–1

例3 已知集合a = {x | x2 – ax + a2 – 19 = 0},b = {x | x2 – 5x + 6 = 0},c = {x | x2 + 2x – 8 = 0},求a取何实数时,a∩b 与a∩c = 同时成立?

【解析】b = {x | x2 – 5x + 6 = 0} = {2,3},c = {x | x2 + 2x – 8 = 0} = {2,– 4}.

由a∩b 和a∩c = 同时成立可知,3是方程x2 – ax + a2 – 19 = 0的解. 将3代入方程得a2 – 3a – 10 = 0,解得a = 5或a = –2.

当a = 5时,a = {x | x2 – 5x + 6 = 0} = {2,3},此时a∩c = {2},与题设a∩c = 相矛盾,故不适合.

当a = –2时,a = {x | x2 + 2x – 15 = 0} = {3,5},此时a∩b 与a∩c = ,同时成立,∴满足条件的实数a = –2.

例4 设集合a = {x2,2x – 1,– 4},b = {x – 5,1 – x,9},若a∩b = {9},求a∪b.

【解析】由9∈a,可得x2 = 9或2x – 1 = 9,解得x =±3或x = 5.

当x = 3时,a = {9,5,– 4},b = {–2,–2,9},b中元素违背了互异性,舍去.

当x = –3时,a = {9,–7,– 4},b = {–8,4,9},a∩b = {9}满足题意,故a∪b = {–7,– 4,–8,4,9}.

当x = 5时,a = {25,9,– 4},b = {0,– 4,9},此时a∩b = {– 4,9}与a∩b = {9}矛盾,故舍去.

综上所述,x = –3且a∪b = {–8,– 4,4,–7,9}.

学期教学计划体育篇十三

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学期教学计划体育篇十四

根据区教委20xx年“内涵发展深化年”工作要求,紧紧抓住“课程、质量”,贯彻落实学校工作计划,制定本学年度教学工作计划。

根据区教委和进修学院推进“卓越课堂”行动计划,贯彻执行“卓越课堂”,重点在课堂上使用导学精要,推进课堂教学变革。组织教师认真学习“卓越课堂”有关理论,总结一年来的经验教训,树立推进学本式卓越课堂的信心,力争工作出成效。

1.在语文、数学、英语学科中开展导学精要运用研究。导学单是指教师依据课程标准、现行教材、学生认知水平而开发的引导学生课堂学习方向的简易课程资源。首先语文、数学、英语学科落实使用进修学院开发的导学精要。语文三至六年级,数学三年级首先使用导学精要,通过教师独立试用教研组研讨骨干教师示范引领试用年级全面推开,开展实践运用研究,真正发挥导学精要教学辅助作用,努力提高课堂教学质量。

2.加强教学质量评价监测。根据区教委学本式卓越课堂工作推进评估方案,做好区级部分年级和学科实践能力测查和纸笔测查,促进学生素质全面发展。改进学校教学质量监测体系,全部学科和全部年级开展校级质量监测,认真落实质量监测方案,引导教师、家长树立正确的质量观,增强监测工作的科学性、规范性,充分发挥监测工作的评价导向功能。

3.做好各学科“学本式”卓越课堂新授课赛课准备。本期进修学院将组织语文、数学、英语、科学、品德、综合实践、音乐、体育等学科赛课,做好校内选拔推荐出赛课人选,组织各学科赛课团队,为参赛教师服好务,争取赛出好成绩。

1.执行《沙坪坝区小学质量监控与评价方案》,从学生学业水平、教学管理、教师工作三个方面进行质量监控与评价。

学生学业水平评价由教研组长负责组织学习实施,期末形成每个学生的评价建议,建立学生素质评价档案,教导处做好归档工作。

2.执行《沙坪坝区小学课堂教学规范》,根据学科特点落实各学科教学规范,值周行政巡课时督查记录,对违规行为提出改进建议。

1.继续书香班级的评比,各班级要按照书香班级评比条件落实执行。

2.继续开展经典诵读,每天下午安排20分钟时间保证诵读,任课教师要严格落实,学校不定期抽查,按常规课程和明德项目具体要求进行管理。

3.加强书法教学工作,3-6年级书法辅助课程安排专任教师任课,保证上课内容和时间,规范书法课程教学。不定期抽查书法辅助课程教学情况,改进书法辅助活动课教学。

做好新生招生工作,规范招生手续,正确使用沙区招生管理系统。加强学籍管理,落实责任,维护使用好“重庆市中小学学籍信息化管理系统”,做好学籍异动、数据统计以及资料整理归档等工作,及时完成上级布置的各项工作。严格控制流失生,确保辍学率为0。教导处及时掌握各班学生流向。搞好特教学生和借读学生的教育管理,确保随班就读。

科学教师要积极开展实验教学和探究性学习活动,实验室管理人员必须为实验教学服好务,落实实验准备工作。科学教师和实验员要严格按照《沙坪坝区中小学实验教学工作绩效考核评分表》各项要求落实实验教学工作,做好资料的收集整理,分类归档,为实验教学工作绩效考核做好准备。

图书室全天对学生开放,班主任要作好课外阅读的指导工作。充分发挥六大功能室、教室教育技术装备的功能。

20xx年9月:

1.拟定学科教学工作计划和各学科教师研修计划

2.卓越课堂研讨活动

3.语文、数学导学精要使用培训

4.语文、科学、品德、综合实践、音乐、体育等学科卓越课堂新授课赛课

20xx年10月:

1.语文、数学导学精要使用培训

2.数学、英语“学本式”卓越课堂新授课赛课

3.新教师培训

20xx年11月:

1.期中考试、教学质量监控

2.教学开放日活动

3.义务教育基本均衡迎检

4.卓越课堂研讨活动

20xx年12月:

1.区质量监控

2.迎接上级对学校教学常规工作检查

3.卓越课堂研讨活动

20xx年1月:

1.组织期末考试,做好质量分析

2.教师教学常规考核

3.学生学业评价总结

学期教学计划体育篇十五

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����(2)��ê¹ï¿½ï¿½venní¼ï¿½ï¿½ê¾ï¿½ï¿½ï¿½ïµä²ï¿½ï¿½ï¿½ï¿½í½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö±ï¿½ï¿½í¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¡ï¿½

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����2.�����뷽��

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����3.��ð¡ï¿½ì¬ï¿½ï¿½ï¿½ï¿½ï¿½öµï¿½ï¿½

����í¨ï¿½ï¿½ï¿½ï¿½ï¿½ïµä²ï¿½ï¿½ï¿½ï¿½ë½»ï¿½ï¿½ï¿½ï¿½ï¿½ã·¨ï¿½ï¿½ä·ï¿½ï¿½ö¡ï¿½ï¿½ï¿½ï¿½æ£ï¿½ï¿½ï¿½ç¿ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§öªê¶ï¿½ï¿½ï¿½ï¿½ñ§ë¼ï¿½ï¿½ï¿½ï¿½ê¶ï¿½í¹ï¿½ï¿½ï¿½ï¿½ï£¬ï¿½ï¿½ï¿½ö¿í¹û¹ï¿½ï¿½éµï¿½ï¿½ï¿½è¤ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ó¦ï¿½ã¼ï¿½öµ.

����(��)��ñ§ï¿½øµï¿½ï¿½ï¿½ï¿½ñµï¿½

�����øµã£ºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äºï¿½ï¿½å£¬ê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

�����ñµã£ºåªï¿½å½»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äºï¿½ï¿½å£¬ï¿½ï¿½ê¶ï¿½ï¿½ï¿½ï¿½ö®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµ

����(��)��ñ§ï¿½ï¿½ï¿½ï¿½

������ë¼ï¿½ï¿½ï¿½ð¸ï¿½öªöªê¶ï¿½ï¿½ï¿½úºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î³ï¿½öªê¶ï¿½ï¿½ï¿½ú¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ðºï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ë½»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

����(��)��ñ§ï¿½ï¿½ï¿½ï¿½

������ñ§ï¿½ï¿½ï¿½ï¿½ ��ñ§ï¿½ï¿½ï¿½ï¿½ ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ �����í¼

�����������������öª ë¼ï¿½ï¿½ï¿½ï¿½ï¿½û²ï¿½ï¿½ï¿½ï¿½ð¸ï¿½ï¿½é¼¯ï¿½ï£ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ó·ï¿½ï¿½ï¿½ï¿½ã£¬ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ¡ï¿½ï¿½ó·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

����(1)a = {1��3��5}��b = {2��4��6}��c = {1��2��3��4��5��6}

����(2)a = {x | x��������}��

����b = {x | x��������}��

����c = {x | x��êµï¿½ï¿½}.

����ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú´ï¿½ð¡ï¿½ï¿½ïµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï´ï¿½ï¿½ú°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è¹ï¿½ïµ;êµï¿½ï¿½ï¿½ü½ï¿½ï¿½ð¼ó¼ï¿½ï¿½ï¿½ï¿½ã£¬ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç·ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ï¿½ï¿½ï¿½ï¿½.

������������a��b��ôªï¿½øºï²ï¿½ï¿½ï¿½ï¿½ï¿½c.

����ê¦ï¿½ï¿½ï¿½é¼ï¿½ï¿½ï¿½a��bôªï¿½ï¿½ï¿½ï¿½ï¿½îªc��������ê½ï¿½ï¿½ï¿½ï¿½ï¾ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ïµä²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½. �������é£ï¿½

����������öª

�����î³ï¿½

��������

����ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

��������c�����������ú¼ï¿½ï¿½ï¿½a�����ú¼ï¿½ï¿½ï¿½b��ôªï¿½ï¿½ï¿½ï¿½éµä£ï¿½ï¿½ï¿½cîªa��b�ä²ï¿½ï¿½ï¿½.

�������壺���������ú¼ï¿½ï¿½ï¿½a�ò¼¯ºï¿½b��ôªï¿½ï¿½ï¿½ï¿½éµä¼ï¿½ï¿½ï¿½. ��îªï¿½ï¿½ï¿½ï¿½a��b�ä²ï¿½ï¿½ï¿½;������a��b;����a��b����a��b = {x | x��a����x��b}��venní¼ï¿½ï¿½ê¾îªï¿½ï¿½

����ê¦ï¿½ï¿½ï¿½ï¿½í¬ñ§ï¿½ç½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ä¹ï¿½í¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ô±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

����ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¡ï¿½ï¿½ø´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ¡ï¿½ï¿½ã³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¶ï¿½ï¿½ï¿½. ����ê¦ö¸ï¿½ï¿½ï¿½â£ï¿½ñ§ï¿½ï¿½í¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½â¹²ï¿½ô£ï¿½ï¿½ï¿½öªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î£¬ï¿½ó¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â²¢ï¿½ï¿½ï¿½äºï¿½ï¿½ï¿½.

����ó¦ï¿½ã¾ï¿½ï¿½ï¿½ ��1 ��a = {4��5��6��8}��b = {3��5��7��8}����a��b.

������2 �輯��a = {x | �c1

������1�⣺a��b = {4, 5, 6, 8}��{3, 5, 7, 8} = {3, 4, 5, 6, 7, 8}.

������2�⣺a��b = {x |�c1

����ê¦ï¿½ï¿½ï¿½ó²¢¼ï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµï¿½ï¿½ï¿½í¬ôªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú²ï¿½ï¿½ï¿½ï¿½ð±ï¿½ê¾.

����������ñ­ï¿½ï¿½ï¿½ï¿½ôªï¿½øµä»ï¿½ï¿½ï¿½ï¿½ï¿½.

����ê¦ï¿½ï¿½ï¿½æ¼°ï¿½ï¿½ï¿½ï¿½ê½ï¿½í¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

����ע���������ᣬ�������î½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ï¿½.

���������������ï»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï£ï¿½è»ï¿½ï¿½ï²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½. í¬ê±×¢ï¿½â¼¯ï¿½ï¿½ôªï¿½øµä»ï¿½ï¿½ï¿½ï¿½ï¿½. ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ê¦ï¿½ï¿½ê±ï¿½êµï¿½ö¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

�����ì»ï¿½ï¿½ï¿½ï¿½ï¿½

������������

����ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ ��a��a = a�� ��a�� = a��

������a��b = b��a��

������ ��b�� ��b.

������ê¦òªï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê½ï¿½ï¿½ðºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½. ����ñ§ï¿½ï¿½ï¿½ï¿½ñ§ë¼î¬ï¿½ï¿½ï¿½ï¿½.

�����î³é¸ï¿½ï¿½ï¿½ ��ñ§ï¿½ï¿½òªï¿½ï¿½

�������������ïµï¿½ï¿½ï¿½ï¿½ï¿½ôªï¿½øºï²ï¿½ï¿½éµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµä²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµä¹ï¿½ï¿½ï¿½ôªï¿½ï¿½ï¿½ï¿½éµä¼ï¿½ï¿½ï¿½ï¿½ö»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½?

�����ú½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ðµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½?

���������ä¶ï¿½ï¿½ï¿½.

���������ú¼ï¿½ï¿½ï¿½a�����ú¼ï¿½ï¿½ï¿½b������ôªï¿½ï¿½ï¿½ï¿½éµä¼ï¿½ï¿½ï£ï¿½ï¿½ï¿½îªa��b�ä½ï¿½ï¿½ï¿½;����a��b������a��b.

������a��b = {x | x��a��x��b}

����venní¼ï¿½ï¿½ê¾

������ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½òªï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½á½»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äºï¿½ï¿½ï¿½. ���ü½á½»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

����������a��a = a;

������a�� = ;

������a��b = b��a;

������a�� ��a�� .

����ê¦ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

������ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½. ����ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

����ó¦ï¿½ã¾ï¿½ï¿½ï¿½ ��1 (1)a = {2��4��6��8��10}��

����b = {3��5��8��12}��c = {8}.

����(2)�â»ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ë¶ï¿½ï¿½á£¬ï¿½ï¿½

����a = {x | x���â»ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ò»ï¿½ê¼¶ï¿½î¼ó°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½üµï¿½í¬ñ§}��

����b = {x | x���â»ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ò»ï¿½ê¼¶ï¿½î¼ï¿½ï¿½ï¿½ï¿½ß±ï¿½ï¿½ï¿½ï¿½ï¿½í¬ñ§}����a��b.

������2 ��æ½ï¿½ï¿½ï¿½ï¿½ö±ï¿½ï¿½l1�ïµï¿½ä¼ï¿½ï¿½ï¿½îªl1��ö±ï¿½ï¿½l2�ïµï¿½ä¼ï¿½ï¿½ï¿½îªl2�����ã¼ï¿½ï¿½ïµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¾l1��l2��î»ï¿½ã¹ï¿½ïµ. ñ§ï¿½ï¿½ï¿½ï¿½ì¨ï¿½ï¿½ï¿½ý£ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü½ï¿½.

������1 �⣺(1)��a��b = {8}��

������a��b = c.

����(2)a��b�����â»ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ò»ï¿½ê¼¶ï¿½ï¿½ï¿½ï¿½ð©ï¿½è²î¼ó°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö²î¼ï¿½ï¿½ï¿½ï¿½ß±ï¿½ï¿½ï¿½ï¿½ï¿½í¬ñ§ï¿½ï¿½éµä¼ï¿½ï¿½ï¿½. ���ô£ï¿½a��b = {x | x���â»ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ò»ï¿½ê¼¶ï¿½è²î¼ó°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö²î¼ï¿½ï¿½ï¿½ï¿½ß±ï¿½ï¿½ï¿½ï¿½ï¿½í¬ñ§}.

������2 �⣺æ½ï¿½ï¿½ï¿½ï¿½ö±ï¿½ï¿½l1��l2����������î»ï¿½ã¹ï¿½ïµï¿½ï¿½ï¿½ï¿½ï¿½à½»ï¿½ï¿½ò»ï¿½ã£¬æ½ï¿½ð»ï¿½ï¿½øºï¿½.

����(1)ö±ï¿½ï¿½l1��l2�ཻ��ò»ï¿½ï¿½p�é±ï¿½ê¾îª l1��l2 = {��p};

����(2)ö±ï¿½ï¿½l1��l2æ½ï¿½ð¿é±ï¿½ê¾îª

����l1��l2 = ;

����(3)ö±ï¿½ï¿½l1��l2�øºï¿é±ï¿½ê¾îª

����l1��l2 = l1 = l2. ����ñ§ï¿½ï¿½ï¿½ä¶ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½.

���������ü½ï¿½ ������a��b = {x | x��a��x��b}

����������a��b = {x | x��a��x��b}

�������ê£ï¿½ï¿½ï¿½a��a = a��a��a = a��

������a�� = ��a�� = a��

������a��b = b��a��a��b = b��a. ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ø¹ë¡ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¡ï¿½ï¿½

������ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ ����öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½

�����îºï¿½ï¿½ï¿½òµ 1.1ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê± ï°ï¿½ï¿½ ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ ����öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½

������ñ¡ï¿½ï¿½ï¿½ï¿½

������1 ��öªï¿½ï¿½ï¿½ï¿½a = {�c1��a2 + 1��a2 �c 3}��b = {�c 4��a �c 1��a + 1}����a��b = {�c2}����a��öµ.

��������������ò»ï¿½ï¿½ï¿½ï¿½a��b = {�c2}����c2��b��

������a �c 1 = �c2��a + 1 = �c2��

�������a = �c1��a = �c3��

������a = �c1ê±ï¿½ï¿½a = {�c1��2���c2}��b = {�c 4���c2��0}��a��b = {�c2}.

������a = �c3ê±ï¿½ï¿½a = {�c1��10��6}��a����òªï¿½ï¿½a = �c3��è¥

������a = �c1.

������������a��b = {�c2}����c2��a��

�����ö¡ï¿½a2 + 1��1����a2 �c 3 = �c2��

�������a =��1��

������a = 1ê±ï¿½ï¿½a = {�c1��2���c2}��b = {�c 4��0��2}��a��b��{�c2}.

������a = �c1ê±ï¿½ï¿½a = {�c1��2���c2}��b = {�c 4���c2��0}��a��b ={�c2}����a = �c1.

������2 ����a = {x | �c1

����(1)��a��b = ����a��è¡öµï¿½ï¿½î§;

����(2)��a��b = {x | x<1}����a��è¡öµï¿½ï¿½î§.

������������(1)����í¼ï¿½ï¿½ê¾ï¿½ï¿½a = {x | �c1

�����������ïµï¿½x = a��x = �c 1���.

������a�ü¨c1.

����(2)����í¼ï¿½ï¿½ê¾ï¿½ï¿½a = {x | �c1

�����������ïµï¿½x = a��x = �c1��x = 1ö®ï¿½ï¿½.

������c1

������3 ��öªï¿½ï¿½ï¿½ï¿½a = {x | x2 �c ax + a2 �c 19 = 0}��b = {x | x2 �c 5x + 6 = 0}��c = {x | x2 + 2x �c 8 = 0}����aè¡ï¿½ï¿½êµï¿½ï¿½ê±ï¿½ï¿½a��b ��a��c = í¬ê±ï¿½ï¿½ï¿½ï¿½?

������������b = {x | x2 �c 5x + 6 = 0} = {2��3}��c = {x | x2 + 2x �c 8 = 0} = {2���c 4}.

������a��b ��a��c = í¬ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªï¿½ï¿½3�ç·ï¿½ï¿½ï¿½x2 �c ax + a2 �c 19 = 0�ä½ï¿½. ��3���뷽�ìµï¿½a2 �c 3a �c 10 = 0�����a = 5��a = �c2.

������a = 5ê±ï¿½ï¿½a = {x | x2 �c 5x + 6 = 0} = {2��3}����ê±a��c = {2}��������a��c = ��ã¬ï¿½ü£ï¿½ï¿½ê²ï¿½ï¿½êºï¿½.

������a = �c2ê±ï¿½ï¿½a = {x | x2 + 2x �c 15 = 0} = {3��5}����ê±a��b ��a��c = ��í¬ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½a = �c2.

������4 �輯��a = {x2��2x �c 1���c 4}��b = {x �c 5��1 �c x��9}����a��b = {9}����a��b.

��������������9��a���éµï¿½x2 = 9��2x �c 1 = 9�����x =��3��x = 5.

������x = 3ê±ï¿½ï¿½a = {9��5���c 4}��b = {�c2���c2��9}��b��ôªï¿½ï¿½î¥ï¿½ï¿½ï¿½ë»ï¿½ï¿½ï¿½ï¿½ô£ï¿½ï¿½ï¿½è¥.

������x = �c3ê±ï¿½ï¿½a = {9���c7���c 4}��b = {�c8��4��9}��a��b = {9}�������⣬��a��b = {�c7���c 4���c8��4��9}.

������x = 5ê±ï¿½ï¿½a = {25��9���c 4}��b = {0���c 4��9}����ê±a��b = {�c 4��9}��a��b = {9}ã¬ï¿½ü£ï¿½ï¿½ï¿½ï¿½ï¿½è¥.

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