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1、学习必备欢迎下载函数图象的教学反思广厚中心学校石立军本节内容的知识目标是探索具体问题中的数量关系和变化规律，运用函数的图象的知识进行描述和解决；能力目标是能选择、处理数学信息，并做出合理的推断或大胆的猜测，能结合具体情境发现并提出数学问题；尝试从不同角度寻求解决问题的方法，并能有效解决问题；能初步具有数形结合、分段函数的数学思想；学会与人合作，并能与他人交流思维的过程和结果。情感目标是乐于接受生活中的数学信息，积极参与对数学问题的讨论，敢于发表自己的观点，能从交流中获益。本节的教学重点是通过创设探索情境，体现数学与现实生活的联系，进一步培养学生从函数的角度解决问题。考虑到函数教学较难进行之处在
2、于学生第一次接触函数相关内容，其抽象性不易理解与掌握，所以采取的教学策略是从学生感兴趣的欣赏图片引出探讨对象，容易引起学生兴趣，从而进入探索过程。课堂组织形式采用引导探究模式，充分调动学生积极性，引导学生作出其图像。但是分段函数毕竟对学生提出了较高层次的要求，学生做函数图像比较困难，函数关系式的得出相对来说困难不大，因为在本章的开头已经多次遇到过类似的问题情景，函数图像可由教师直接给出：作出图象如下：分析图象：1、横纵轴分学习必备欢迎下载别代表的含义；2、起点；3、交点：；4、转折点；5、图象上各点坐标的实际意义。作为对分段函数的初步认识，对图象中的各个“点”分析透彻有助于对图形的理解。在函数
3、解析式及图像得出的情况下，展开如下讨论：1、“两车相遇”在图象上如何表示？2、如何在图象上看出函数值的大小？通过对问题一较为仔细和深入的探讨，学生对函数的解析式及图像有了更深层次的理解。这个问题一的设置与教学，基本上适合学生的认知情况，但难度较大，其探讨比较适合层次比较高的学生，或者教学可设置为课前学生预习，尝试作图象，这样在课堂教学时可降低难度几学生思考的时间。解题点拨：，我们并不知道x 和y 是什么函数关系。将这些数值所对应的点在坐标系中作出，我们发现，这些点大致位于一条直线上，可知x 和y 近似地符合一次函数关系。我们可以用一条直线去尽可能地与这些点相贴近，求出近似的函数关系式。解答：利
4、用几何画板过其中两点作直线。可以看到，其他点也在这条直线上。求出这条直线所表达的解析式，则我们得到了反映x 和 y 的函数关系式。在解决本题的最后，引导学生做了一个反思：在实践中得到一些变量的对应值，有时很难精确地判断它们是什么函数，需要我们根据经验分析，作图进行观察和计算，从而确定接近的函数关系式来研究这些文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5
5、K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10
6、V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX
7、1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6
8、P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D
9、10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:
10、CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 H
11、Q6P5K6U1Q4 ZJ3D10V4T8X3学习必备欢迎下载实际问题。在解这种与函数有关的题后，有一点很重要就是及时进行回顾与反思，这样将有助于学生函数思想的升华。函数另一重要之处在于对函数图像的理解与应用，所以在问题二之后安排了阅读图像回答问题的问题三。【变式二】阅读函数图象，并根据你获得的信息回答问题：（1）折线 OAB 表示某个实际问题的函数图象，请你编写一道符合该图象意义的应用题；（2）根据你给出的应用题分别指出x 轴、y 轴所表示的意义，并写出 A、B两点的坐标；对于函数图像的理解与应用，是本章内容的重点与难点。从图像获取信息也是学习函数之后学生应该具有的能力与技巧。探究思路：1、
12、从图象获取直观认识，由折线特征结合生活实际构造应用背景；2、注意折线特点，OA、OB段“坡度”的差异；3、起点、终点的含义，在应用背景中的体现；4、转折点对应用背景的影响；5、注意所编应用题的合理性。此题为开放题型，引导学生根据以往学习经验进行创造性学习，教会学生如何识图，用图，将图象反应于文字。最后对本堂课内容作一个课堂小结：1、函数可以用来解决很多生活的实际问题；2、如何理解分段函数及其图象；3、观察图象，从图象获取信息；4、创造性自编题如何体现函数思想。函数教学历来是初中数学教学的一个重点和难点，如何突破，本节课作了一个尝试。所选用的三个问题均是精心挑选和设计的学生较易接受的题目背景，这
13、样在教学中学生容易产生亲切感，有利于教学文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D1
14、0V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:C
15、X1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ
16、6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3
17、D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码
18、:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1
19、HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3学习必备欢迎下载活动的开展。但是对于比较难的题型或知识，应该事先布置给学生作预习，这样将有助于课堂教学和学生更深层次的理解。文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B
20、5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5
21、K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10
22、V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX
23、1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6
24、P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D
25、10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3文档编码:CX1B5H7K9R1 HQ6P5K6U1Q4 ZJ3D10V4T8X3