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初一第三章实数测试卷

发布时间:2014-02-08 09:46:40  

第三章实数

一、选择题

1、立方根为8的数是 ········································································································· ( )

A、512 B、64 C、2 D、±2

2、已知正数m满足条件m2=39,则m的整数部分为 ···················································· ( )

A、9 B、8 C、7 D、6

3、下列说法错误的是 ········································································································· ( )

A、实数与数轴上的点一一对应

B、无限小数未必是无理数,但无理数一定是无限小数

C、分数总是可以化成小数,但小数未必能转化为分数

D、有理数都可以表示成有限小数或无限循环小数

4、下列各式正确的是 ········································································································· ( )

A16=±4 B364=4 C-9=-3 D、1611

9=43

5、一个数的平方根和它的立方根相等,则这个数是 ······················································· ( )

A、1 B、0 C、1或0 D、1或0或-1

6x+10+y-13=0,则x+y的值是 ································································· ( )

A、13 B、3 C、-3 D、23

7、两个连续自然数,前一个数的算术平方根是x,则后一个数的算术平方根是 ··········· ( )

A、x+1 B、x2+1 Cx+1 D、x2+1

8、下列四个数中,比0小的数是 ······················································································ ( )

A2

3 B C、π D、-1

9、若3x+3y=0,则x与y的关系是 ··············································································· ( )

A、x=y=0 B、x与y的值相等 C、x与y互为倒数 D、 x与y互为相反数

10、如果323.7=2.872,323700=28.72,则30.0237=··················································· ( )

A、0.2872 B、28.72 C、2.872 D、0.02872

二、填空题(每空2分,共30分)

117表示的算术平方根;1

27的立方根为 25= 3-8=

12、在526之间,整数个数是

13、在数轴上一个点到原点距离为2,则这个数为;

14x的平方根是±4,那么x=364的平方根是;

15、已知a=-5,则a2= ;

16、观察下列各式:32-12=2×4 ,42-123×5 ,52-12=4×6

102-12= ;

17、如果x2=9,则x= ,x3=-8,则x=

18、已知一个正数的平方根是3x-2和5x+6,则这个正数是

1 ……,则 ,

19、已知25x2-144=0,且x是正数,求代数式

的值

20、若a、b互为相反数,c、d互为负倒数,则=_______.

321、用铁皮制作一个封闭的正方体,它的体积为7m,则正方体的边长为 m

三、解答题

23、计算:

(1)25-125 (2

33+27 (3

2-|3-π| 9

(4)

、|

+|

·124π,0,,-22,2.121121112…(两个2之间依次多一个1),0.3。 3

(1)是有理数的有: ;

(2)是无理数的有: ;

(3)是整数的有: ;

(4)是分数的有: 。

25、如图,纸上有5个边长为1的小正方形组成的纸片,可以把它剪拼成一个正方形。

(1)拼成的正方形的面积与边长分别是多少?(25、-5的点。

(3)你能在3×3的正方形方格图中,连接四个点组成面积为5的正方形吗?

(4)你能把这十个小正方形组成的图形纸,剪开并拼成一个大正方形吗?若能,边长为多少?

2

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