(完整word版)初中数学教学案例与反思.pdf

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1、初中数学教学案例与反思：用函数的观点看一元二次方程者海二中傅锜一、教学目标：1经历探索二次函数与一元二次方程的关系的过程，体会方程与函数之间的联系2理解抛物线交x 轴的点的个数与一元二次方程的根的个数之间的关系，理解何时方程有两个不等的实根、两个相等的实数和没有实根3能够利用二次函数的图象求一元二次方程的近似根。二、教学重点、难点：教学重点：1体会方程与函数之间的联系。2能够利用二次函数的图象求一元二次方程的近似根。教学难点：1探索方程与函数之间关系的过程。2理解二次函数与x 轴交点的个数与一元二次方程的根的个数之间的关系。三、教学方法：启发引导合作交流四：教具、学具：课件五、教学媒体：计算机

2、、实物投影。六、教学过程：活动 1 检查预习引出课题预习作业：1解方程：（1）x2+x2=0;(2)x26x+9=0;(3)x2x+1=0;(4)x22x2=0.2.回顾一次函数与一元一次方程的关系，利用函数的图象求方程3x-4=0 的解.师生行为：教师展示预习作业的内容，指名回答，师生共同回顾旧知，教师做出适当总文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB

3、2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI

4、2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码

5、:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9

6、HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10

7、ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档

8、编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z

9、9 HB2K2S6N2I10 ZI2Z1F1Z4G1结和评价。教师重点关注：学生回答问题结论准确性，能否把前后知识联系起来，2 题的格式要规范。设计意图：这两道预习题目是对旧知识的回顾，为本课的教学起到铺垫的作用,1 题中的三个方程是课本中观察栏目中的三个函数式的变式，这三个方程把二次方程的根的三种情况体现出来，让学生回顾二次方程的相关知识；2 题是一次函数与一元一次方程的关系的问题，这题的设计是让学生用学过的熟悉的知识类比探究本课新知识。活动 2 创设情境探究新知问题1课本 P16问题.2结合图形指出，为什么有两个时间球的高度是 15m 或 0m？为什么只在一个时间球的高度是 20m?（结合

10、预习题1，完成课本P16 观察中的题文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F

11、1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9

12、X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K

13、2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z

14、1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:C

15、C9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB

16、2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1目。）师生行为：教师提出问题1，给学生独立思考的时间,教师可适当引导,对学生的解题思路和格式进行梳理和规范；问题 2 学生独立思考指名回答，注重数形结合思想的渗透；问题 3 是由学生分组探究的，这个问题的探究稍有难度，活动中教师

17、要深入到各个小组中进行点拨，引导学生总结归纳出正确结论。二次函数 y=ax2+bx+c 的图象和 x 轴交点的坐标与一元二次方程ax2+bx+c=0 的根有什么关系?二次函数y=ax2+bx+c 的图象和 x 轴交点一元二次方程ax2+bx+c=0 的根一元二ax2+bx+式=b两个交点两个相异的实数根 b24a一个交点两个相等的实数根 b24a没有交点没有实数根 b24a教师重点关注：1学生能否把实际问题准确地转化为数学文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:

18、CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 H

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20、I2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编

21、码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9

22、 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10

23、 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文

24、档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1问题；2学生在思考问题时能否注重数形结合思想的应用；3学生在探究问题的过程中，能否经历独立思考、认真倾听、获得信息、梳理归纳的过程，使解决问题的方法更准确。设计意图：由现实中的实际问题入手给学生创设熟悉的问题情境，促使学生能积极地参与到数学活动中去，体会二次函数与实际问题的关系；学生通过小组合作分析、交流，探求二次函数与一元二次方程的关系，培养学生的合作精神，积累学习经验。活动 3 例题学习巩固提高问题：例利用函数图象求方程x22x2

25、=0 的实数根（精确到0.1）.师生行为：教师提出问题，引导学生根据预习题 2 独立完成，师生互相订正。教师关注：（1）学生在解题过程中格式是否规范；（2）学生所画图象是否准确，估文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:

26、CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 H

27、B2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 Z

28、I2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编

29、码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9

30、 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10

31、 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1算方法是否得当。设计意图：通过预习题2 的铺垫，同学们已经从旧知识中寻找到新知识的生

32、长点，很容易明确例题的解题思路和方法，这样既降低难点且突出重点。活动 4 练习反馈巩固新知问题：（1）P97习题1、2（1）。师生行为：教师提出问题，学生独立思考后写出答案，师生共同评价；问题（2）学生独立思考后同桌交流，实物投影出学生解题过程，教师强调正确解题思路。教师关注：学生能否准确应用本节课的知识解决问题；学生解题时候暴露的共性问题作针对性的点评，积累解题经验。设计意图：这两个题目就是对本节课知识的巩固应用，让新知识内化升华，培养数学思维的严谨性。活动 5 自主小结，深化提高：文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6

33、Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I

34、10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G

35、1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1

36、P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N

37、2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z

38、4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7

39、O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G11通过这节课的学习，你获得了哪些数学知识和方法？2这节课你参与了哪些数学活动？谈谈你获得知识的方法和经验。师生活动：学生思考后回答，教师对学生的错误予以纠正，不足的予以补充，精彩的适当表扬。设计意图：1题促使学生反思在知识和技能方面的收获；2题让学生反思自己的学习活动、认知过程，总结解决问题的策略，积累学习知识的方法，力求不同的学生有不同的发展。活动 6 分层作业，发展个

40、性：1（必做题）阅读教材并完成P97习题 21。2：3、42（备选题）P97习题 21。2：5、6 设计意图：分层作业，使不同层次的学生都文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2

41、I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4

42、G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O

43、1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6

44、N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1

45、Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X

46、7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1能有所收获。七、教学反思：1注重知识的发生过程与思想方法的应用用函数的观点看一元二次方程内容比较多，而课时安排只一节，为了在一

47、节课的时间里更有效地突出重点，突破难点，按照学生的认知规律遵循教师为主导、学生为主体的指导思想，本节课给学生布置的预习作业，从学生已有的经验出发引发学生观察、分析、类比、联想、归纳、总结获得新的知识，让学生充分感受知识的产生和发展过程，使学生始终处于积极的思维状态中，对新的知识的获得觉得不意外，让学生“跳一跳就可以摘到桃子”。探究抛物线交x 轴的点的个数与一元二次方程的根的个数之间的关系及其应用的过程中，引导学生观察图形，从图象与 x 轴交点的个数与方程的根之间进行分析、猜想、归纳、总结，这是重要的数学中数形结合的思想方法，在整个教学过程中始终贯穿的是文档编码:CC9X7O1P6Z9 HB2K

48、2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z

49、1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:C

50、C9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB2K2S6N2I10 ZI2Z1F1Z4G1文档编码:CC9X7O1P6Z9 HB