2022年人教版数学九下26.1《反比例函数》word公开课教案 .pdf
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1、名师精编优秀教案反比例函数的图象和性质教案科目数学课题反比例函数的图象和性质教师班级时间教学目标1知识与技能:(1)根据具体的反比例函数的图象了解其特征,根据反比例函数的图象和解析式探索并理解k0 和 k0 时,图象的变化情况及其性质;(2)能从“数”“形”两个角度对反比例函数性质进行简单应用.2过程与方法:(1)在正比例函数和反比例函数的类比过程中体验类比思想,在探索性质中感悟“数形结合”、“分类讨论”的数学思想;(2)让学生通过直观感知、动手操作去经历、再借助代数证明把感性上升到理性,体会规律形成的过程.3情感态度与价值观:(1)由图象的画法和分析,结合多媒体演示画面,体验数学活动中的探索
2、性和创造性,感受数学美,并通过图象的直观教学激发学习兴趣;(2)渗透数形结合的思想和函数的思想,培养学生抽象思维能力,形成良好的思维品质.教学重点反比例函数的图象和性质的探究名师精编优秀教案教学难点从“数”“形”两个角度理解反比例函数的增减性教学 手段计算机,PPT 课件,几何画板教学设计教学过程设计说明一、知识回顾,确定过程通过问题引导学生类比已学过的正比例函数的图象和性质的研究过程,明确研究反比例函数的图象及其性质的一般方法,从而明确研究过程.问题:我们已经学过正比例函数的哪些内容?那么反比例函数的研究又如何展开呢?以正比例函数y=kx为例,引导同学们复习正比例函数图象性质是从解析式、自变
3、量取值、图象形状、位置、变化趋势、增减性等方面展开研究的。表 1函数正比例函数解析式自变量取值范围图像形状图象位置回忆旧知识,渗透类比的思想,类比正比例函数的研究方法为学习反比例函数做好铺垫。文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码
4、:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9
5、E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码
6、:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9
7、E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码
8、:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9
9、E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4名师精编优秀教案图象趋势增减性二、数形结合,研究性质问题:反比例函数的图象会是什么形状呢?展 示 学 生 作 业 中 画 的 反 比 例 函 数xyxy6,6,xyxy
10、3,3的图象来看一看.师生活动:教师展示学生作品,分析错误情形;并通过课件演示反比例函数图象的生成过程,给出双曲线的名称,并渗透它的形态特征.问 题:请 观 察 反 比 例 函 数xyxy3,6的 图 象 以 及xyxy3,6的图象,有什么共同特征?师生活动:教师启发学生对比、思考,组织学生讨论,引导学生关注反比例系数“k”的作用。三、深入探究,一般结论为了使学生进一步体会“一般问题特殊化”的解决策略,认识研图象是直观地描述和研究函数的重要工具,通过学生画出的反比例函数图象,可以使学生对反比例函数先有一个初步的感性认识。学生通过观察比文档编码:CM6S3H2X1G4 HK5T1B9E5F7 Z
11、K9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3
12、H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 Z
13、K9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3
14、H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 Z
15、K9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3
16、H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 Z
17、K9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4名师精编优秀教案究数学问题的一般方法:虽然特殊无法代替一般,但是在众多特殊中蕴含着一般规律,教师通过问题引导学生思考是否所有的反比例函数的图象都具有以上性质.问题:当k取不同的值,上述结论是否适用于所有的反比例函数?总结反比例函数0kxky图象的特征和性质。教师演示课件,赋予不同的k值,观察所得到的不同的反比例函数图象的特征,引导学生尝试改变0kxky中k的值,观察所得到的不同的反比例函数图象的特征及函数性质,引导学
18、生归纳“变化中的规律性”.然后,从解析式的角度,引导学生分析上述结论的合理性,从而得到反比例函数0kxky图形的特征和函数性质,填写表 2:函数反比例函数解析式自变量取值范围图像形状图象位置图象趋势增减性较,对四个反比例函数图象的特征进行分类归纳,在活动中,让学生自己去观察、发现、总结,实现学生主动参与,探究新知的目的。通过计算机动态演示,验证猜想,使学生经历从特殊到一般的过程,加强对反比例函数图象“特征”和函数“特性”以及它们之间的相互文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W
19、4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK
20、5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W
21、4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK
22、5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W4文档编码:CM6S3H2X1G4 HK5T1B9E5F7 ZK9M2C6T1W
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