初二数学测试题大全.docx
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初二数学测试题大全
初二数学测试题大全
初二数学测试题大全
一、判断题。
1.
( )
2.
=x2-y2 ( )
3.
( )
4.
( )
5.3a3x-4b3y+3b3x-4a3y=(a3+b3)(3x-4y)( )
6. (x-y)4+x(y-x)2+y(y-x)3=2(x-y)2(x-y+1)( )
7.整式和分式统称有理式.( )
8.x2-16y2-8y-1=(x+4y+1)(x-4y+1)( )
9.
( )
10.把一个多项式化成几个整式的积的形式叫做多项式的因式分解.( )
11.
( )
12.a2+2ab+b2=(a+b)2 ( )
13.-4x3+8x2-4x=-4x(x-1)2 ( )
14.
( )
15.
( )
16.甲用x小时走完s千米, 乙比甲早出发a小时, 早到b小时,那么乙每小时走
千米. ( )
17.
( )
18.25y2-4a2-12ab-9b2=(5y+2a+3b)(5y-2a+3b)( )
19.用A、B表示两个整式, 如果B中含有字母, 式子
就叫做分式.( )
20.
( )
21.2a6-32a2b4 =2a2(a2+4b2)(a+2b)(a-2b)( )
22.
( )
23.
( )
24. -x3y3-x2y2+xy=-xy(x2y2+xy-1)( )
25.-8a3+27b3=-(2a-3b)(4a2+6ab+9b2)( )
26. 361-(3a+2b)2=(19-3a-2b)(19+3a+2b)( )
27.
( )
28.a2+b2-9c2-1-2ab-6c=(a-b-3c-1)(a-b+3c+1) ( )
29. (x+2)(x-3)(x2-7)+(2+x)(3-x)(x+3)=(x+2)(x-3)(x2+x-4)( )
30.10ab-3+6b-5a=(5a+3)(2b-1)( )
31.873-763是11的倍数( )
32.(m-n)2-2(m2-n2)+(m+n)2=2n2( )
33. 2-2a4=2(1+a2)(1+a)(1-a)( )
34.
( )
35.m2-n2-m+n=(m-n)(m+n-1)( )
36.
( )
37.x3-2x2y+xy2=x(x-y)2( )
38.当x=-3时,
( )
39.
( )
40.x2-2xy+y2-1=(x-y+1)(x-y-1)( )
41.将a2-b2+2b-1分解因式得(a+b-1)(a-b+1)( )
42.12x5-24x3+18x2=6x2(2x3-4x+3)( )
43.
( )
44.
( )
45.
( )
46.25x2y4z16-1=(5xy2z4-1)(5xy2z4+1)( )
47. x2(x+1)-y(xy+x)=x(x-y)(x+y+1)( )
48.-am-1+14am-49am+1 =-am-1(1-7a)2 ( )
49.ab(x2+1)+x(a2+b2)=(a+bx)(b+ax)( )
50. a4-3a3+3a2-a=a(a-1)3( )
51.1-x6=(1-x3)(1+x3)=(1-x)(1+x)(1-x+x2)(1+x+x2)( )
52.a9-ab2=a(a4+b)(a4-b)( )
53. x3m+3-64y3=(xm+1-4y)(x2m+2+4xm+1y+16y2)( )
54. am-1-am+2+am-am+1=am-1(1+a)2(1-a)( )
55.a2(a+1)-b2(b+1)=(a-b)(a2+ab+b2+a+b)( )
56.
( )
57. (x+1)2+x(3x+2)=(2x+1)2 ( )
58. 5x2m+3y4n+2-10x3m+7y2n+1=5x2m+3y2n+1·(y2n+1+2xm+4)( )
59.a2n+an+1-an=an(an+a-1)( )
60.
( )
61. 8m3(m2-n2)-27n6(n2-m2)=(m2-n2)(2m+3n2)(4m2-6mn2+9n4)( )
62. 8a3(x3-y6)+(y6-x3)=(x-y2)(x2+xy2+y4)(2a-1)(4a2+2a+1)( )
63. a8-81b8=(a4-9b4)(a4+9b4)( )
64. a16-b16=(a-b)(a+b)(a2+b2)(a4+b4)(a8+b8)( )
65. a4-4a3+4a2-9=(a2-2a-3)(a2-2a+3)( )
66.
( )
67. a2-b2+m2-n2+2(am-bn)=(a+m+b +n )(a+m-b -n )( )
68.ab(c2-d2)-cd(a2-b2)=(ac+bd)(bc-ad)( )
69. 1+12x2y2+48x4y4+64x6y6=(1+4x2y2)3( )
70. x5+x4y+2x3y2+2x2y3+xy4+y5=(x+y)(x2+y2)2 ( )
71. -am+1y2n-1+am-1y2n+1=am-1y2n-1(-a2+y2)( )
72.2(a2-3mn)+a(4m-3n)=(a+2m)(2a-3n)( )
73.
( )
74.(a+b+c)3-(a3+b3+c3)=3(a+b)(b+c)(a+c)( )
75.a3m-a3m+3=a3m(1-a)(1+a+a2)( )
76.343m6-125n12=(7m2-5n4)(49m4+35m2n4+25n8)( )
77.1+x+x(x+1)+x(x+1)2+x(x+1)3=(1+x)4( )
78.am+4-8am+3-16am+2=am+2(a2-8a-16)( )
79. x3-x2-x-y3+y2+y=(x-y)(x2+xy+y2-x-y-1)( )
80.(x+y)3+2xy(1-x-y)-1=(x+y-1)(x2+y2+x+y+1)( )
81. -12a2m+1bm+2+20am+1b2m+4=-4am+1bm+2(3am-5bm+2)( )
82. am+3-amb3=am(a-b)(a2+ab+b2)( )
83.(a-b)n+3-(a-b)n=(a-b)n(a-b-1)(a2+b2-2ab+a-b+1)( )
二、单选题。
84.
的结果是[ ]A.a+5 B.
C.a2-1 D.a2-a+1
85. 4xy+2y-8x-y2的结果是[ ]A.(4y+x)(y-2)B.(4x-y)(y -2)C.(4x+y)(y+2)D.(4x+y)(y -2)
86.当x=____时, 分式
没有意义.[ ]A.x=3 B.x=-3 C.x=±3 D.x=4
87.
等于[ ]A.
B.
C.
D.
88.
[ ]A.-
B.
C.
D.-
89.4a2-b2+c2-4ac等于[]
A.(2a-c+b)(2a+c-b)B.(2a-c+b)(2a-c-b)C.(2a+c+b)(2a-c-b)D.(2a+c-b)(2a-c-b)
90.若代数式
有意义, 则x的取值范围是[ ]
A.x≠1, x≠- 2 B.x≠1, x≠2C.x≠1, x≠-2, x≠2 D.x≠1, x≠-2, x≠2, x≠-1
91. a2-2ab+b2-c2等于[ ]A.(a-b+c)(a-b-c)B.(a+b+c)(a-b-c)C.(a-b+c)(a+b-c)D.(a-b+c)(a+b+c)
92.已知
的值是[ ]A.-
B.
C.-
D.
93. 54-2y3等于[ ]A.2(3-y)(9+3y+y2)B.(3-y)(9+3y+y2)C.(27-y3)D.2(27-y3)
94.a2(x-2a)2-a(2a-x)2因式分解的结果是[]
A.a(x-2a)2(a-1)B.(x-2a)2(a2-a)C.a(x-2a)2(a+1)D.(x-2a)2(a2+a)
95.使分式
有意义的条件是[ ]A.x≠2 B.x≠-2 C.x≠2且x≠-2 D.x≠0
96.已知
的值为 [ ]A.-1
B.1
C.1
D.
97.计算
的结果是[ ]A. -1 B. 0 C. 1 D. 2
98. x3-xyz+x2y-x2z等于[]A.(x-y)(x2-xz)B.(x+y)(x2-xz)C.x(x+y)(x+z)D.x(x+y)(x-z)
99.计算:
[ ]A.
B.
C.
D.
100.若分式
无意义,则[ ]A. x=1 B. x=-1C. x=1或x=-1 D.没有这样的有理数
101. -a2-14ab-49b2=[ ]A.(a+7b) B.-(a+7b)(a-7b)C.-(a+7b)2 D.(a+7b)2
102.
=[ ]A.
B.
C.
D.-
103.x2+6x+9等于[ ]A.(x-3)2 B.(x+3)2 C.(x-3)3 D.(x+3)3
104.下列等式中,正确的是:
[]A.
B.
=-1C.
D.
105.下列等式中正确的是[]
A.
B.
C.
D.
106.
=[ ]A.x-1 B.-x+1 C.-x-1 D.x+1
107.
÷ax的结果是[ ]A.
B.
C.
D.
108.
的结果是[ ]A. -2 B. 2 C. -1 D. 1
109.
的结果是[ ]A.
B.-
C.
D.
110.3x2-3y2等于[ ]A.(x-y)(x+y) B.3(x-y)(x+y)C.3(x-y)2 D.3(x2-y2)
111.
[ ]A.
B.-
C.-
D.-
112. 5a2-7a-5ab+7b等于[ ]A.(a-b)(5a-7) B.(a+b)(5a-7)C.(a+b)(5a+7) D.(a-b)(5a+7)
113.a2-b2+4b-4等于[ ]A.(a+b-2)(a-b+2)B.(a-b-2)(a-b+2)C.(a+b+2)(a-b+2)D.(a+b-2)(a+b-2)
114.
的结果是[ ]A. -a-5 B. -a+5 C. a-5 D. a+5
115.下列各式中, 正确的是[ ] A.
B.
C.
D.
=a+b
116.a2b+a2-4b-4等于[ ]A.(b+1)(a+2)B.(b+1)(a-2)C.(b+1)(a+2)(a-2)D.(b+1)(a2-4)
117.如果分式
的值为零, 那么x的值为[ ]A.30 B.0 C.1 D.2
118.-7ab+21abx-28aby等于[ ]A.-7(ab+3x+4y)B.-7ab(1-3x+4y)C.-7ab(4y-3x)D.7ab(1-3x+4y)
119.若1<x<2, 则分式
的值为[ ]A. -1 B. 3 C. 1 D. 2
120.
的结果是[ ]A.
B.
C.
D.
121. x3+x-y-y3等于[ ]A.(x+y)(x2-xy+y2+1)B.(x-y)(x2+xy+y2+1)C.(x2+xy+y2)(x-y)D.(x2-xy+y2+x)
122.
=[ ]A.
B.
C.
D.
123.
[ ]A.
B.-
C.-
D.
124.
的结果是[ ]A. -1 B. 0 C. 1 D. 2
125.
等于[ ]A.
B.
C.
D.
126.下列因式分解,完全正确的是[ ]
A.
B.
C.
D.
127.多项式2a2+2ab+
b2分解因式的结果是[ ]A.2(a+b)2B.
(2a+b)2C.(2a+b)2D.
128.分式
的值为零时, x的值是[ ]A.2 B.-1 C.2, -1 D.3, -1
129.已知x为非零实数,那么
的值是[ ]A.-1或3B.1或3C.-1或-3D.1或-3
130. m2n-mn2-3m+3n等于[ ]A.(m-n)(mn-3)B.(m+n)(mn-3)C.(m+n)(mn+3)D.(m-n)(mn+3)
131.25x2-9y2等于[ ]A.(5x+3y)(5x-y) B.(5x-3y)2C.(5x+3y)(5x-3y) D.(25x+9y)(x-y)
132.
=等于[ ]A.-
B.
C.
D.-
133.计算
=[ ]A. -
B. -
C.
D.
134. 1-n4等于[ ]A.(1+n2)(1-n)2B.(1+n2)(1+n)(1-n)C.(1+n)2(n-1)(1-n) D.(1+n2)(n-1)(1+n)
135.当-3的结果是[ ]A.2 B.0 C.-1 D.-2
136.分式
中的x和y都扩大2倍, 那么分式的值[ ]A.扩大两倍 B.不变 C.扩大四倍 D.缩小两倍
137.已知
的值为[ ]A.
B.
C.-
D.-
138.在分式
中, 当a=________时分式无意义.[ ]A.0 B.2 C.-2 D.1
139.a3+a2-2ab+b2-b3等于[]
A.(a+b)(a2+ab+b2+a-b)B.(a-b)(a2-ab+b2+a-b)C.(a-b)(a2+ab+b2+a-b)D.(a-b)(a2-ab-b2-a+b)
140.在有理数范围内,4x-x5等于[ ]A.x(2+x2)(2-x2) B.x(2-x)2 C.x(2+x2)2 D.x(2+x2)
141. 8x2y2-16xy+8等于[ ]A.(xy-1)2 B.(xy+1)2 C.8(xy-1)2 D.8(xy+1)2
142. x2y-x2z+y2z-y3等于[ ]A.(y-z)(x2-y2) B.(y-z)(x-y)(x+y)C.(y-z)2(x-y) D.(y-z)(x+y)2
143. 2x3+16等于[ ]A.(x+2)(x2-2x+4)B.2(x+2)(x2+2x+4)C.2(x+2)(x2-2x+4)D.2(x+2)(x2-2x-4)
144. x2-y2+3x+3y等于[ ]A.(x+y)(x+y-3) B.(x-y)(x+y+3)C.(x+y)(x-y-3) D.(x+y)(x-y+3)
145.
的结果是[ ]
A. -
B. -
C.
D.
146. x2-4y2+x+2y等于[ ]A.(x+2y)(x-2y+1)B.(x-2y)(x-2y+1)C.(x+2y)(x+2y+1)D.(x+2y)(x-2y-1)
147.
等于[ ] A.
B.
C.
D.
148.x2+y2-z2+2xy等于[ ]A.(x+y+z)(x+y-z)B.(x-y-z)(x+y+z)C.(x-y-z)(x+y-z)D.(x-y+z)(x+y-z)
149.
等于[ ]A.
B. -
C. -
D. -
150. (a+2b)2-(x-3y)2等于[ ]
A.(a-2b-x+3y)(a-2b-x-3y)B.(a+2b-x-3y)(a+2b-x-3y)
C.(a+2b+x-3y)(a+2b-x+3y)D.(a-2b+x-3y)(a-2b-x+3y)
151.a3-b3的结果是:
[ ]
A.a3-b3=(a-b)(a2+2ab+b2)B.a3-b3=(a-b)(a2-2ab+b2)C.a3-b3=(a-b)(a2-ab+b2)D.a3-b3=(a-b)(a2+ab+b2)
152. 8x6+x3等于[ ]
A.x3(2x+1)(4x2-2x+1)B.x3(2x-1)(4x2-2x+1)C.x3(2x+1)(4x2+2x+1)D.x3(2x+1)(4x2+2x-1)
153.下列分式中, 与分式
的值相等的是[]
A.
B.-
C.
D.-
154.已知x=3y, 则
的值为[ ]A.
B.
C.-
D.-
155.a3-ab2+a-b等于[]A.(a-b)(a2+ab+1)B.(a-b)(a2-ab+1)C.(a+b)(a2+ab+1)D.(a+b)(a2+ab-1)
156. a2-20a+100等于[ ]A.(a+10)2 B.(a-1)2C.(a-10) D.(a-10)2
157.若分式
的值等于零, 则x的值为[ ]A.1 B.±1 C.
D.-1
158.
[ ]A.
B.
C.
D.
159.把分式
中的x和y都扩大3倍,那么分式的值[]
A.扩大了3倍B.不变C.缩小了3倍D.扩大了9倍
160.分式
恒等于[ ]A.
B.
C.
D.
161. x2-y2+2x+1等于[ ]A.(x+y+1)(x-y+1)B.(x-y+1)(x-y-1)C.(x+y-1)(x-y-1)D.(x+y-1)(x-y+1)
162.
的结果是[ ]A.
B.
C.
D.
163.
的结果是[ ]A. x-4 B. x-5 C. x-6 D. x-7
164.下列各恒等变形中, 是因式分解的是:
[ ]
A.a2-2ab+b2=(a-b)2B.(a+b)2=a2+2ab+b2C.a2b+ab2+c=ab(a+b)+cD.a2-2ab+b2-c=(a-b)2-c
165.4xy+1-4x2-y2等于[ ]
A.(1+2x-y)(1-2x+y)B.(1+2x+y)(1+2x-y)C.(1-2x-y)(1+2x+y)D.(4-2x+y)(2-3x-y)
166.
的值=[ ]A.
B.
C.
D.
167.
-xy等于[ ]A.
B.
C.
D.
168.计算
的结果是[ ]A.
B.
C.
D.
169.16x2+56xy+49y2等于[ ]A.(4x-7y)2 B.(4x+7y)2 C.(4x+y)2 D.(x+7y)2
170.4-4a2+8ab-4b2分解因式的结果是[ ]
A.4(1-a+b)(1+a-b) B.(2-2a+2b)(2+2a+2b)C.(2-2a+2b)(2+2a-2b) D.4〔1-(a-b)2〕
171.(x-3)(3x-2)-7(x-3)的结果是[ ]A. 3(x-3)(x-3)B. (x-3)(3x-9)C. 3(x-3)2D. 3(x-3)
172.
[ ]A.
B.
C.
D.
173.
等于[ ]A.
B.
C.
D.
174.当x=_____时, 分式
没有意义.[ ]A.-4 B.0 C.4 D.1
175.多项式a2-36b2分解因式的结果是:
[ ]
A.(a2-6b)(a2+6b) B.(a+6b2)(a-6b2)C.(a+6b)(a-6b) D.(a+36b)(a-36b)
176.下列因式分解正确的是[ ]
A.
B.
C.
D.
177.x3-xy2 因式分解的结果是[ ]A.x(x2-y2) B.x(x-y)2 C.-x(x2+y2) D.x(x-y)(x+y)
178.分解因式a2b2-b4等于:
[ ]A.b2(a+b)(b-a) B.b2(a-b)2C.b2(a+b)(a-b) D.b2(a+b)2
179.xn-ym分解因式为(x-y)(x2+xy+y2),那么m、n的值是[ ]
A.m=3,n=3B.m=2,n=2C.m=3,n=2D.m=4,n=4
180.使分式
的值为正的条件是[ ]A.x<
B.x>
C.x<0 D.x>0
181