2022年二次函数的图象和性质教学案例 .pdf

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1、学习好资料欢迎下载二次函数的图象和性质（第三课时）教学案例镇江市第四中学蒋红教材分析：二次函数的图象和性质选自义务教育课程标准实验教科书（苏科版）九年级下册，本节内容是第六章二次函数的第二节。在日常生活中，经常运用函数的知识解决实际问题，二次函数更是重中之重。而在本节课之前，学生已学习了二次函数的概念和二次函数y=ax2的图象和性质。因此本课的教学是在学生学过二次函数基础知识的基础上，引导学生进一步观察二次函数2axy+k 及2)(mxay(a0)的图象特征,从特殊到一般，最终得到二次函数y=ax2+k 及2)(mxay的图象的性质。这样的设计不仅符合学生的认知规律，而且还使学生进一步体会了数

2、形结合的思想方法。设计理念：1 教师在整节课的活动中，扮演的是学生学习的参与者、合作者、指导者和支持者的角色。2 本节课的设计体现了“学会学习，为终身学习作准备”的教育理念，最大限度地实现学生的主体地位，使数学教学成为一种“过程”教学，让学生在“数学活动”中获得数学的“思想、方法、能力、素质”，同时获得对数学的情感。3 数学课程标准指出，“有效的数学学习活动不能单纯地依赖模仿与记忆”，动手实践、自主探索与合作交流是学生学习数学的重要方式。在本节课中，着力改善学习方式，强调学习方法，变学会为会学。教学目标：(一)知识与能力1、会用列表描点法画二次函数y=ax2+k 及2)(mxay的图象。2、探

3、索二次函数kaxy2、2)(mxay的图象与二次函数2axy的图象的关系,理解抛物线的平移规律。(二)过程与方法通过二次函数kaxy2、2)(mxay的性质及抛物线的平移规律的探索,让学生经历观察、分析、比较、抽象概括等数学活动过程,渗透运动变化和数形结合的思想,培养观察能力和分析问题、解决问题的能力。(三)情感、态度与价值观 1、培养学生探索、观察、发现的良好品质以及克服困难的毅力，并学会归纳总结自己的结论，体会成功的喜悦，加强继续学习的兴趣。2、通过细心画图，培养学生严谨细致的学习态度,通过图象之间的平移变换渗透数学美感。学习好资料欢迎下载教学重点、难点（一）教学重点二次函数 y=ax2+

4、k、2)(mxay图象及其性质。突出重点的措施 1、从“坐标的数值变化”与”图形的位置变化”的关系着手，探索二次函数kaxy2、2)(mxay的图象与二次函数2axy的图象的关系,让学生感受二次函数2axy+k、2)(mxay图象的性质，同时体会对比及由特殊到一般的思想。2、通过操作、思考，组织学生动手操作、合作交流，培养学生归纳、总结的能力。（二）教学难点探索和发现二次函数kaxy2及2)(mxay的性质及抛物线的平移规律。突破难点的措施 1、增加问题1 问题5 再次让学生用列表描点法画形如二次函数kaxy2及2)(mxay的图象,使学生进一步从图象上认识此类二次函数的性质,体会数形结合的思

5、想方法。2、通过设计问题3、问题 7 这两个环节,让学生通过观察体会抛物线的平移规律。3、自主探索、合作交流,形成生动的课堂氛围。教学策略（一）教法:在教学上主要采用了操作、观察、合作交流、尝试、归纳等方法，并结合多媒体演示，激励学生积极参与，在知识的发生、发展中渗透对比及数形结合的数学思想，学生通过操作、观察、思考、归纳、尝试、交流等一系列探究活动，层层推进，环环相扣，体现数学的严密性与系统性。（二）学法教学过程是师生互相交流的动态过程。从学生的认知特点来看，这一阶段的学生爱问好动，求知欲强，想象力丰富，对实际操作活动有着浓厚的兴趣，对直观的事物感知较强。因此，在学习中，应鼓励学生动手操作，

6、自己观察，进行小组讨论和交流，使学生形成对数学知识的理解和有效的学习策略。同时，师生共同归纳总结，体验学习。教学过程(一)知识回顾师:1、什么是二次函数?2、我们已研究过什么样的二次函数?3、二次函数2axy图象的开口方向,对称轴、顶点坐标是什么?停顿片刻，引导学生思考。文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8

7、N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档

8、编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9

9、T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1

10、G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9

11、S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10

12、G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 Z

13、Z7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3学习好资料欢迎下载师:请学生们填写下列表格：y=ax2a0 a0 开口方向顶点坐标对称轴增减性最值学生容易正确填写表格（通过知识的回忆提供学习的基础，符合教学可接受性原则和知识建构的需要。）(二)操作、思考问题 1 在同一平面直角坐标系中画二次函数2xy、12xy、12xy的图象。师引导学生采用列表描点法画出图象。（培养学生的画图能力以及严谨的学习态度。）问题 2 二次函数 y=x2、12xy、12xy的图象有什么特征？他们有哪些相同点和不同点？停顿片刻,引导学生思考。（引导学生认真观察二次

14、函数的图象，积极思考，让学生充分感受到解决问题带来的愉悦。）生：相同点：开口向上，对称轴是 y 轴，在对称轴左侧，y 随 x 的增大而减小；在对称轴右侧，y 随 x 的增大而增大。不同点：顶点坐标分别是（0，0），（0，1），（0，-1）问题 3 师：从点的位置看，函数12xy的图象与函数2xy的图象的位置有什么关系？函数12xy呢？停顿片刻，引导学生思考。师：请同学们看几何画板动画演示。用运动变化的观点，将函数2xy的图象向上平移 1个单位得函数12xy的图象，向下平移 1 个单位得函数12xy的图象。问题 4 文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4

15、O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码

16、:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4

17、Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3

18、 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S1

19、0B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6

20、K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7

21、V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3学习好资料欢迎下载二次函数kaxy2的图象与二次函数2axy的图象有什么关系？（设计问题 3、问题 4 这两个环节主要是引导学生从图象到解析式观察抛物线平移规律，再落实到从解析式上看图象平移的方向和距离，层层剖析，步步深入，突破难点，让学生感悟运动

22、变化及数形结合的观点。）归纳师：通过上面的探究，同学们能归纳二次函数y=ax2+k 的图象性质吗？学生经历了问题 1 至问题 4 的操作、观察、思考，进一步感受了二次函数y=ax2+k的图象特征，因此容易归纳出二次函数y=ax2+k的图象的性质如下：函数的图象是顶点在(0,k),对称轴是 y 轴的抛物线。当a0 时,抛物线的开口向上,顶点是抛物线的最低点;在对称轴的左侧y随 x 的增大而减小,在对称轴的右侧 y 随 x 的增大而增大。当 a0 时,抛物线的开口向下,顶点是抛物线的最高点;在对称轴的左侧y随 x 的增大而增大,在对称轴的右侧 y 随 x 的增大而减小.（通过归纳，促进学生知识的升

23、华，让学生形成合理的知识结构，同时培养学生自主发展的意识。）问题 5 在同一平面直角坐标系中画出函数的图象。师引导学生采用列表描点法画出图象。问题 6 二次函数的图象各有什么特征?他们有哪些相同点和不同点?通过上述问题 2 的解决，学生对于问题6 容易观察得到结论。生：相同点：开口向下。在对称轴左侧，y 随 x 的增大而增大；在对称轴右侧，y 随 x 的增大而减小。不同点：顶点坐标分别是（0，0），（-1，0），（1，0）；对称轴分别是 y 轴、过点（-1，0）且平行于 y 轴的直线、过点（1，0）且平行于 y 轴的直线。问题 7 师:从点的位置看,函数2)1(xy的图象与函数2xy的图象的位

24、置有什么关系?函数2)1(xy呢？停顿片刻，引导学生思考。师：请同学们看几何画板动画演示。再次用运动变化的观点，将函数2xy的图象向左平移1 个单位得函数2)1(xy的图象，向右平移1 个单位得函数2)1(xy的图象。问题 8 师:通过对上述问题 5 至问题 7 的探索，你发现 二次函数2)(mxay的图象与二,xy2,)1x(y22)1x(y,xy2,)1x(y22)1x(y文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10

25、G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 Z

26、Z7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8

27、N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档

28、编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9

29、T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1

30、G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9

31、S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3学习好资料欢迎下载次函数2axy的图象有什么关系吗?停顿片刻,引导学生思考。（设计问题 7、问题 8 这两个环节主要是引导学生从图象观察抛物线平移规律，再落实到从解析式上看图象平移的方向和距离，再次让学生感悟运动变化及数形结合的观点，同时通过与问题4 类比学生容易得出结论。）归纳师:通过与函数2axy的图象的比较你能归纳函数2)(mxay的图象的性质吗？生：函数图象是一条抛物线;顶点坐

32、标是(-m,0);对称轴是过点(-m,0)且平行于y轴的直线。当 a0 时,抛物线的开口向上,顶点是抛物线的最低点;在对称轴的左侧y随 x 的增大而减小,在对称轴的右侧 y 随 x 的增大而增大。当 a0 时,抛物线的开口向下,顶点是抛物线的最高点;在对称轴的左侧y随 x 的增大而增大,在对称轴的右侧 y 随 x 的增大而减小。（通过归纳将新知识纳入学生原有的知识体系，培养学生自主学习的意识。）尝试、交流1.二次函数的开口 ,对称轴是 ,顶点坐标是 ,它可以看作是由抛物线向平移个单位得到的。2.二次函数 ,当 x 时,函数值 y 随 x 的增大而减小;当 x 时,函数取得最值,最值是 ;它可以

33、看作是由抛物线向平移个单位得到的（设计“尝试、交流”的意图是：及时巩固所学知识，加深学生对二次函数kaxy2、2)(mxay的图象的性质的理解。）小结与思考本节课的基础知识是：从坐标的数值变化”与图形的位置变化”着手,探索二次函数kaxy2与2)(mxay的图象与二次函数2axy的图象的关系。基本思想方法是:根据图象研究性质,体现了数形结合的思想方法。用运动变化的观点探索二次函数kaxy2与2)(mxay的图象与二次函数2axy的图象的关系。（培养学生反思自己学习过程的意识，充分发挥学生的主体作用，从而培养归纳、整理、表达的能力。）问题思考：将抛物线向左平移得到的新抛物线的顶点的横坐标为-2，

34、且新抛物线经过点（1，3），求 a的值（设计“问题思考”有两个意图：1、让学生带着问题走出课堂，同时322xy22xy2)2(21yx221xy2axy文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1

35、G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9

36、S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10

37、G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 Z

38、Z7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8

39、N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档

40、编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3学习好资料欢迎下

41、载作为课堂教学内容的延伸与能力的拓展。2、尊重学生的个体差异，让“不同的人在数学上得到不同的发展。）文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4

42、O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码

43、:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4

44、Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3

45、 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S1

46、0B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6

47、K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3学习好资料欢迎下载文档编码:CR9T4Y5O1G3 HQ9S10B1

48、0G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1

49、ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P

50、8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文档编码:CR9T4Y5O1G3 HQ9S10B10G6K1 ZZ7V1P8N4O3文