当前位置:首页 > 八年级 > 数学试卷

【329869】7.7 用计算器求平方根和立方根

时间:2025-02-07 09:21:26 作者: 字数:1756字



7.7 用计算器求平方根和立方根

【学习目标】

1.了解科学计算器的开方运算功能,能用计算器 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 求一个数的平方根和立方根

2.感受科学计算器是解决计算问题的强有力的工具。

【学习重难点】

求平方根或立方根的按 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 键顺序。

【学习过程】

一、课前准备

 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 习任务一 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> :阅读、完成教材68页例1

1(写明按键顺序)





用计算器求:(1 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>2 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> (精确到0.01)(写明按键顺序)




学习任务二:完成教材68页例2

2(写明按键 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 顺序)






用计算器求:(1 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>2 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> (精确到0.01)(写明按键顺序)





学习任务三:比较两组数的大小

1 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>


二、学习新知

利用计算器求下列各式的值:

1 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 2 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>


3 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>4 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>


5 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>6 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>

三、合作交流

 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>

 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>


四、课堂小结:

这节课你有什么收获?



 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 【当堂检测】

 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 1、利用计算器,求下列各式的值(结果保留4个有效数字)

1 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>    (2 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> ;    (3 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> ;   (4 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>

2、你能把 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a>  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 00.3737737773……(相邻两个3之间7的个数逐次增加1)等各数填入下面相应的集合中?

正有理数:( …)

负有理数:(  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> …)

有理数:(  <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> … )

 <a href="/tags/61/" title="平方" class="c1" target="_blank">平方</a> <a href="/tags/908/" title="平方根" class="c1" target="_blank">平方根</a> <a href="/tags/909/" title="立方根" class="c1" target="_blank">立方根</a> 理数:( …)