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2022年26.1.2反比例函数的图象和性质3 .pdf

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1、2612 反比例函数的图象和性质（1）教学目标1、体会并了解反比例函数的图象的意义2、能描点画出反比例函数的图象3、通过反比例函数的图象分析，探索并掌握反比例函数的图象的性质。重点与难点：重点：会作反比例函数的图象；探索并掌握反比例函数的主要性质。难点：探索并掌握反比例函数的主要性质。教学过程：一、课堂引入提问：1一次函数 ykxb（k、b 是常数，k 0）的图象是什么？其性质有哪些？正比例函数ykx（k 0）呢？2画函数图象的方法是什么?其一般步骤有哪些？应注意什么？二、探索新知：探索活动 1 反比例函数xy6与xy6的图象探索活动 2 反比例函数xy6与xy6的图象有什么共同特征?三、应用

2、举例：例 1（补充）已知反比例函数32)1(mxmy的图象在第二、四象限，求m 值，并指出在每个象限内y随 x 的变化情况？例 2（补充）如图，过反比例函数xy1（x0）的图象上任意两点 A、B 分别作 x 轴的垂线，垂足分别为C、D，连接 OA、OB，设 AOC 和 BOD 的面积分别是S1、S2，比较它们的大小，可得（）（A）S1S2（B）S1S2（C）S1S2（D）大小关系不能确定四、随堂练习1已知反比例函数xky3，分别根据下列条件求出字母k 的取值范围（1）函数图象位于第一、三象限（2）在第二象限内，y 随 x 的增大而增大2反比例函数xy2，当 x2 时，y；当 x2时；y 的取值

3、范围是；当 x2 时；y 的取值范围是3已知反比例函数yaxa()226，当x0时，y 随 x 的增大而增大，求函数关系式五、小结：谈谈你的收获六、布置作业七、板书设计2612 反比例函数的图象和性质（1）1、反比例函数的图象例：文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9

4、HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X

5、9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9

6、ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P1

7、0X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T

8、8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:

9、CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C

10、4O1O9 HW5L6X9W3H9 ZK10P10X1N2T82、反比例函数的主要性质练习：教学反思：结合正比例函数ykx（k 0）的图象和性质，来帮助学生观察、分析及归纳，通过对比，能使学生更好地理解和掌握所学的内容注意让学生体会数形结合的思想方法。以积极探索的思想，逐步提高从函数图象中获取信息的能力，探索并掌握反比例函数的主要性质。2612 反比例函数的图象和性质（2）一、教学目标1使学生进一步理解和掌握反比例函数及其图象与性质2能灵活运用函数图象和性质解决一些较综合的问题3深刻领会解析式与图象之间联系，体会数形结合及转化思想方法二、重点与难点重点：理解并掌握反比例函数图象和性质，并能利用

11、它们解决一些综合问题难点：学会从图象上分析、解决问题，理解反比例函数的性质。三、教学过程（一）复习引入：文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1

12、N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档

13、编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6

14、H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1

15、O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5

16、L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3

17、H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T81什么是反比例函数？2反比例函数的图象是什么？有什么性质？（二）

18、应用举例：例 1（补充）若点A（2，a）、B（1，b）、C（3，c）在反比例函数xky（k0）图象上，则 a、b、c 的大小关系怎样？例 2（补充）如图，一次函数 ykxb 的图象与反比例函数xmy的图象交于 A（2，1）、B（1，n）两点（1）求反比例函数和一次函数的解析式（2）根据图象写出一次函数的值大于反比例函数的值的 x 的取值范围例 3：已知变量 y 与 x 成反比例，且当x=2 时 y=9（1）写出 y 与 x之间的函数解析式和自变量的取值范围。（三）随堂练习：1.当质量一定时，二氧化碳的体积V 与密度 p 成反比例。且 V=5m3时，p=198kg m3（1）求 p 与 V 的函

19、数关系式，并指出自变量的取值范围。（2）求 V=9m3 时，二氧化碳的密度。2、已知反比例函数 y=k/x（k 0）的图像经过点（4，3），求当 x=6时，y 的值。（四）小结：谈谈你的收获（五）布置作业（六）板书设计文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X

20、9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9

21、ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P1

22、0X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T

23、8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:

24、CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C

25、4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9

26、HW5L6X9W3H9 ZK10P10X1N2T82612 反比例函数的图象和性质（2）1、反比例函数及其图象与性质例：2、综合的问题练习：四、教学反思：经历观察、分析，交流的过程，逐步提高从函数图象中感受其规律的能力。情感态度与价值观，提高学生的观察、分析的能力和对图形的感知水平，使学生从整体上领悟研究函数的一般要求。文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O

27、1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW

28、5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W

29、3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK

30、10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X

31、1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文

32、档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8文档编码:CR6H4C4O1O9 HW5L6X9W3H9 ZK10P10X1N2T8

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