整式的乘法测试题(附答案).docx

整式的乘法测试题(附答案).docx
整式的乘法测试题(附答案).docx

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整式的乘法

班级

姓名

学号

得分

一、 填空题

1、

a

2

a

5

; - m 2 7

m 7 2

( a 4 ) 7 ( a 7 ) 4 =

; - 2x

3y 3y 2x _______

2

3

3 4

2

2002

- 3 x

y - 2 x

y

; - 1.5

2003

=

3

、已知: 2m a , 32n b ,则

3m 10 n

=________

2

2

8 n 4

3 n

21

n ________

、若

5 25 125

25

,则

3

4、已知 m 2 n

3, (3m 3n ) 2

4 m 2 2 n

_______

5、已知 a 和 b 互为相反数, 且满足 a 3 2 b 3 2 =18m ,则 a 2 b 3

6、已知: 52 n

a, 4n

b ,则 106 n _______

7、已知 m+n=3,mn=2,则

m 2 +

n 2

=

8、已知 x 2+ y 2=2, x +y=1、则 xy=

二、选择题

1、 下列计算中正确的是(

A 、 - 3x 3 y 3 2

3x 6 y 6

B 、 a 10 a 2

a 20

5

2

1

3

1

C 、 m

2 3 16 D 、

2 y

4 6 y

12

m

m

x

8 x

2

、若(

x 2

x + m )( x -8)中不含 x 的一次项,则 m 的值为(

2

A 、8

B 、- 8

C 、0

D 、8 或- 8 3、(- a + 1)( a +1)( a 2+ 1)等于( )

4 -1 、 4 +1

C 、 4+2a 2+1

D 、1-a 4

A 、a

B a a

4、 a 5140 , b 3210 , c 2280 ,则 a 、 b 、 c 的大小关系是( )

A 、 a b c

B 、 b a c

C 、 c a b

D 、 c b a

5、若 2 x 4y 1 , 27 y 3x 1 ,则 x y 等于( )

A 、-5

B 、- 3

C 、- 1

D 、1

6、 - 6 n 6

6 n 1 的值为(

.

A、0B、1 或- 1n 1D、不能确定

C、-6

7 、下列式子可用平方差公式计算的式子是()

A、a b b a

B、 x 1 x 1

C、 a b a b D 、x 1 x 1

二、解答题

1、计算

3

1 ab22

( 1)- 5a23ab26a3(2) 2 a2b 3 a3b2

334

(3)2 14 116 1256 1(4) 20102 - 20112

992 - 98 100

2、先化简,再求值(3a

1 2b)(

2 a 3b) ( a 2b)(2 a b) ,其中 a 1.5,b

4

3、已知 m n 8,mn 15,求m2mn n2的

4、便方法算( 4 分)

(1)×(2)4992

5、你能很快算出1995 2?(4分)

了解决个,我考察个位上的数字是 5 的自然数的平方,任意一个个位数 5 的自然数可写成 10n 5,即求10n 52的( n 正整数),你分析n=1、n=2,?些情况,从中探索其律,并、猜想出(在下面的

空格内填上你探索的果)。

( 1)通算,探索律

152=225可写成 10×1×( 1+1)+25

252=625可写成 10×2×( 2+1)+25

352=1225可写成 10×3×( 3+1) +25

452=2025可写成 10×4×( 4+1) +25

?

75 25625可写成。

85 27225 可写成。

( 2)从第( 1)题的结果归纳、猜想得:10n 5 2。( 3)根据上面的归纳、猜想,请算出:1995 2。

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