2022年数学七年级下册《算术平方根》说课稿 .pdf

人教版数学七年级下册算术平方根说课稿各位老师，同学们好：我今天说课的题目是“算数平方根”第一课时，课程选自：人教版义务教育教科书数学七年级下册第六章第一节，我主要从教材分析、教学目标、教学重难点、教学方法、教学过程、教学评价这六个方面来阐述对这堂课的教学设计。一、教材分析算术平方根的概念和性质的教学是对无理数的认识，数域从有理数到实数范围扩充的一个前提，也是之后学习二次根式及其运算的一个基础，在整个代数学习中有举足轻重的作用。二、教学目标:知识目标：1、使学生正确理解算术平方根的概念。2、能用平方运算求某些数的算术平方根，并会用符号表示算术平方根。能力目标：1、通过具体情境的观察、思考、类比、探索、交流和反思等数学活动培养学生创新意识，使学生掌握研究问题的方法，从而学会学习。2、通过具体情境贴近学生生活，让学生在生活中挖掘数学问题，解决数学问题，使数学生活化，生活数学化。会利用算术平方根的知识解决有关问题。3、通过知识梳理，培养学生的概括能力、表达能力和逻辑思维能力。情感目标：通过具体情境的探索、交流等数学活动培养学生的团体合作精神和积极参与、勤于思考意识。三、教学重点、难点：教学重点：算术平方根概念的理解和求法。教学难点：算术平方根概念的理解和求法。四、教学方法与手段：1 教学方法利用引导发现法、讨论法，引导学生从具体生活情境及已有的知识和生活经验出发，提出问题与学生共同探索、学生与学生共同探索，以调动学生求知欲望，培养探索能力、创新意识。2 教学手段利用多媒体创设教学情境，引导学生观察、探索、发现、归纳来激发学生学习兴趣、激活学生思维，以利于突破教学重点和难点，提高课堂教学效益。五、教学过程：（一）创设情境，导入新课：问题：1、学校要举行美术作品比赛，小鸥想裁一块面积为25dm2的正方形画布，画上自己的得意之作参加比赛，这块正方形画布的边长应为多少？2、已知正方形的面积分别为1、9、16、36、425、它的边长分别文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4是多少？（教师操作媒体，展示幻灯片，提出问题。学生思考并回答问题。）（二）合作交流、解读探究：问题：什么叫算术平方根？（一般地，如果一个正数x 的平方等于a，即 x2=a,那么这个正数 x 就叫做a的算术平方根）记为：a（a0)读作：“根号 a”，a 叫被开方数（教师启发、指导学生理解概念；学生朗读概念、理解概念。）规定：0 的算术平方根是 0。（三）应用迁移、巩固提高：1 例：求下列各数的算术平方根：（1）100,（2）6449，（3）0.0001。（教师启发、指导学生大胆猜想，引导学生探究学习方法。操作媒体，展示解题过程。学生同桌、前后左右同学进行讨论。并请几位说一说，再探讨结论。）2 练习：1、求下列各数的算术平方根：（1）144（2）(3)0.16 (4)62 (5)(-3)22、求下列各式的值：（1）1（2）925（3）24（4）0（教师选择有代表性的学生作业,后教师点评。学生做练习后由两位板演,其他同学互批互评。）3 巩固：下列各式是否有意义，为什么？（1）4（2）4（3）（4）2110（解答：出示幻灯片）2381121文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4（四）小结、反思：（1）什么是算术平方根？如何求一个正数的算术平方根？（2）什么数才有算术平方根？（五）布置作业：（1）教科书 41 页练习第 1、2 题。（2）教科书 47 页复习巩固第 1、2 题。六、教学评价本节课的设计从学生的认知规律出发，教给学生探求知识的方法，教会学生获取知识的本领，在教学中，努力创设平等的师生关系，让学生在和谐的课堂氛围中达到目标。谢谢大家！文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 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