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【329870】7.7 用计算器求平方根和立方根

时间:2025-02-07 09:21:35 作者: 字数:2341字


7.7 用计算器求平方根和立方根

一、选择题

1. 2nd x2 2 2 5 ) enter显示结果是(

A.15 B.±15 C.15 D.25

2.用计算器求 <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> 结果为(保留四个有效数字)(

A.12.17 B.±1.868 C.1.868 D.1.868

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> <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> 用不等号连接起来为(

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> B.  <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>

C.  <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> D.  <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>

4.下列各组数,能作为三角形三条边的是(

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> B. <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>

C. <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> D. <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>

5.一个正方形的草坪,面积为658平方米,问这个草坪的周长是(

A.6.42 B.2.565 C.25.65 D.102.6

二、填空题

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> 的按键顺序为__________.

7. <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> =______.

8.0.0288的平方根为______.

9.计算 <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> (保留四个有效数字)=______.

10.填“<”“>”或“=”

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> ____ <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> ____ <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> ____ <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、解答题

11.用计算器求下列各式的值(结果保留四个有效数字)

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> 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>







12.用计算器求下列各式中的x的近似值(结果精确到0.01)

13x2142=29 22(x+5)2=17








13.当人造地球卫星的运行速度大于第一宇宙速度而小于第二宇宙速度时,它能环绕地球运行,已知第一宇宙速度的公式是v1= <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> (/秒),第二宇宙速度的公式是v2= <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> (/),其中g=9.8/秒,R=6.4×106.试求第一、第二宇宙速度(结果保留两个有效数字).









14.已知某圆柱体的体积V= <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> πd3(d为圆柱的底面直径)

1)用V表示d.

2)当V=110 cm3时,求d的值.(结果保留两个有效数字)








15.用计算求下列各数的算术平方根(保留四个有效数字),并观察这些数的算术平方根有什么规律.

178000,780,7.8,0.078,0.00078.

20.00065,0.065,6.5,650,65000.

参考答案

一、1.A 2.C 3.D 4.D 5.D

二、6. 7.2.10 8.±0.1697 9.1.865

10.1< 2> 3< 4<

三、11. 12 13.7.9×103/ 1.1×104/

14.1 <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> 26.0

15.被开方数的小数点向左(右)移动两位,则其平方根的小数点就向左(右)移动一位