2022年一次函数模型的应用 .pdf

学习好资料欢迎下载课题：一次函数模型的应用严店初中侯守定一、教学目标1.知识与技能：在具体情境中，学会建立一次函数模型的方法，能结合对函数关系的分析，尝试对变量的变化规律进行初步预测，解决生活和生产中的实际问题，增强学生应用数学的意识。2.过程与方法：经历建立函数模型，求出函数解析式等活动过程，培养学生归纳推理、分析问题、解决问题的能力。3.情感态度与价值观：让学生感受一次函数的应用价值，乐于运用所学知识去解决实际问题，并体验成功，增强自信心。二、教学重点建立一次函数模型的方法，并能求出函数解析式。三、教学难点结合函数关系的分析，对实际问题作出初步预测。四、教学过程（一）热身练习1.如图，当 x=2 时，y=；当 y=-3 时，x=。学习好资料欢迎下载2.直线 y=kx+b 经过点（0,6）和（1,4），求此一次函数的解析式。【设计意图】引导学生回顾学习过的一次函数有关知识，为后面学习作好准备。（二）创设情境，操作感知（多媒体播放宣传保护水资源的一段视频。）问题 1：为提醒人们节约用水，及时修好漏水的水龙头，小王同学做了水龙头漏水实验，实验时用于接水的量筒最大容量为100ml，每隔 10s观察量筒中水的体积，记录的数据如下表（漏出的水量精确到 1ml）：时间 t/s 10 20 30 40 50 60 70 漏出的水量 V/ml 2 5 8 11 14 17 20（1）在所给的坐标系中描出上表中数据对应的点，猜想V 与 t的函数关系，并求出函数关系式；（2）如果小王同学继续实验，请探求多少秒后量筒中的水会满而溢出（精确到 1s）？xy 1 2 3 4123456 1 2 3 4123456O文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5学习好资料欢迎下载（3）按此漏水速度，1 小时会漏水 kg（精确到 0.1kg）。学生活动：学生通过实际操作，感知用一次函数模型模拟数据的一般方法与步骤，建立函数关系后解决简单问题。教师活动：教师巡视，给有困难的学生加以指导。【设计意图】创设问题情境，让学生探索用一次函数模型解决问题，宣传保护水资源，渗透节约用水、保护环境的意识。（三）合作探究问题 2：有一个同学家开了一个小卖部，他为了研究气温对热饮销售的影响，经过统计，得到一个卖出的热饮与当天气温的对比表：摄氏温度/-5 0 4 7 12 15 19 23 27 31 36 热饮杯数156 150 132 128 130 116 104 89 93 76 54（1）根据上表中的数据在直角坐标系中描点；（2）观察这些点的分布情况，猜测x 与 y 之间的函数形式，并求出函数解析式；（3）根据你建立的模型，如果某天的气温是2，预测这天卖出的热饮杯数。师生活动：学生合作探究，讨论、交流结果，师生共议。【设计意图】通过实践活动，让学生能根据实际问题的特点，建立合适的函数模型，并能对实际问题作初步预测，提升解决问题的能力，体会数学的应用价值。（四）归纳小结通过上面学习，我们可以知道建立两个变量之间的函数模型，可文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5学习好资料欢迎下载以通过下列几个步骤完成：（1）将实验得到的数据在直角坐标系中描出；（2）观察这些点的特征，确定选用的函数形式，并根据已知数据求出具体的函数表达式；（3）进行检验；（4）应用这个函数模型解决问题。【设计意图】让学生养成自我梳理、归纳知识的习惯，加深对知识的理解和掌握，实现从知识到能力的转化。（五）学习反思通过这节课的学习，谈谈你有哪些收获？（六）布置作业某班同学在探究弹簧的长度跟外力的变化关系时，实验记录得到的相应数据如下表：砝码的质量 x/g 0 50 100 150 200 400 500 600 指针位置 y/cm 2 3 4 5 6 7.5 7.5 7.5 探究 y 与 x 的函数表达式，弹簧所受外力应小于多少克？文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5文档编码:CD7G2X8M4X4 HO9N6F9R1X1 ZL2X9X5L5G5