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武汉实验外国语学校初中部数学调考

来源:中考网整理 作者:中考网编辑 2019-02-25 浏览数: 226

一、单选题

1.化简(a3)2的结果是

A. a6                                    B. a5                                    C. a9                                    D. 2a3

2.下列运算正确的是(  

A. a3+a2=2a5          B. 2a1a=2a2a2          C. (﹣ab23=a3b6          D. a+b2=a2+b2

3.随着微电子制造技术的不断进步,电子元件的尺寸大幅度缩小,在芯片上某种电子元件大约只占为7×10-7平方毫米,这个数用小数表示为(   

A. 0.000007                    B. 0.000070                    C. 0.0000700                    D. 0.0000007

4.下列运算正确的是(  )

A. x2+x3=x6                                 B. x32=x6

C. 2x+3y=5xy                           D. x6÷x3=x2

5.计算b2•b3正确的结果是(  )

A. 2b6                                       B. 2b5                                       C. b6                                       D. b5

6.如果x26x+k是完全平方式,则k的值为(  )

A. ±9                                    B. ±36                                    C. 36                                    D. 9

7.下列运算中正确的是(  

A. a3·a4a12                                  B. (a2)3=-a6
C. (ab)2ab2                                 D. a8÷a4a2

8.a+b=3ab=1,则a2+b2=(  )

A. -11                                     B. 11                                     C. -7                                     D. 7

9.31等于(  

A. 3                                        B.                                         C. 3                                        D. 

10.要使(x2+ax+1)(﹣6x3)的展开式中不含x4项,则a应等于(  )

A. 6                                      B. -1                                      C.                                       D. 0

11.下列计算中,错误的是(  )

A. 3a2a=a                                                      B. 2a3a1=6a21

C. 8a2÷2a=4a                                            D. a+3b2=a2+6ab+9b2

12.PM2.5是大气压中直径小于或等于0.0000025m的颗粒物,将0.0000025用科学记数法表示为(  )

A. 0.25×105                   B. 0.25×106                   C. 2.5×105                   D. 2.5×106

13.不论xy取任何实数,x24x+9y2+6y+5总是( 

A. 非负数                                  B. 正数                                  C. 负数                                  D. 非正数

14.已知a+ =3,则a2+ 的值是(  

A. 9                                           B. 7                                           C. 5                                           D. 3

15.人体中红细胞的直径约为0.0000077m,将数0.0000077m用科学记数法表示为(   )            

A. 7.7                        B. 0.77                        C. 77                        D. 7.7

二、填空题

16.(a5)4•(a2)3________

17.计算:﹣2xx2=________

18.ab=3ab=2,则a2+b2的值为________     

19.a是一个长为2m,宽为2n的长方形,沿图a中虚线用剪刀把它均分成四块小长方形,然后按图b的形状拼成一个正方形.
1)请用两种不同的方法求图b中阴影部分的面积:
方法1________ (只列式,不化简)
方法2________ (只列式,不化简)
2)观察图b,写出代数式(m+n2,(mn2 mn之间的等量关系:________ 
3)根据(2)题中的等量关系,解决如下问题:若a+b=7ab=5,则(ab2=________ 

20.已知(x+1)(x2=x2+mx+n,则m+n=________     

三、解答题

21. 

)如果,求的值.

 

 

 

 

 

22.已知10x=510y=6,求:
1102x+y   
2103x2y

 

 

 

 

 

 

四、综合题

23.已知ab1ab=-6,求下列各式的值.
1a2b2

2a2abb2.    

 

 

 

 

 

 

 

 

 

 

24.计算:

1

2)(2ab3)(2a+b3



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