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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积形式叫做多项式因式分解.(
)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,
假如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+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+9n62.
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+25n77.1+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+282.
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、单项选择题。84.结果是[
]A.a+5
B.
C.a2-1
D.a2-a+185.
4xy+2y-8x-y2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=487.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≠-191.
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
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.使分式有意义条件是[
]A.x≠2
B.x≠-2
C.x≠2且x≠-2
D.x≠096.已知
值为
[
]A.-1
B.1
C.1
D.97.计算结果是[
]A.
-1
B.
0
C.
1
D.
298.
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.没有这么有理数101.
-a2-14ab-49b2=[
]A.(a+7b)
B.-(a+7b)(a-7b)C.-(a+7b)2
D.(a+7b)2102.=[
]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)3104.以下等式中,正确是:[]A.B.=-1C.D.105.以下等式中正确是[]A.
B.C.D.106.=[
]A.x-1
B.-x+1
C.-x-1
D.x+1107.÷ax结果是[
]A.
B.
C.
D.108.结果是[
]A.
-2
B.
2
C.
-1
D.
1109.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.结果是[
]A.
-a-5
B.
-a+5
C.
a-5
D.
a+5115.以下各式中,
正确是[
]
A.
B.
C.
D.=a+b116.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.假如分式值为零,
那么x值为[
]A.30
B.0
C.1
D.2118.-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,
则分式值为[
]A.
-1
B.
3
C.
1
D.
2120.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.结果是[
]A.
-1
B.
0
C.
1
D.
2125.
等于[
]A.
B.
C.
D.126.以下因式分解,完全正确是[
]A.B.C.D.127.多项式2a2+2ab+b2分解因式结果是[
]A.2(a+b)2B.(2a+b)2C.(2a+b)2D.128.分式值为零时,
x值是[
]A.2
B.-1
C.2,
-1
D.3,
-1129.已知x为非零实数,那么值是[
]A.-1或3B.1或3C.-1或-3D.1或-3130.
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)2C132.
=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<x<4时,
化简分式结果是[
]A.2
B.0
C.-1
D.-2136.分式中x和y都扩大2倍,
那么分式值[
]A.扩大两倍
B.不变
C.扩大四倍
D.缩小两倍137.已知值为[
]A.
B.
C.-
D.-138.在分式中,
当a=________时分式无意义.[
]A.0
B.2
C.-2
D.1139.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)2142.
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)2143.
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.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.以下分式中,
与分式值相等是[]A.
B.-C.
D.-154.已知x=3y,
则值为[
]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)2157.若分式值等于零,
则x值为[
]A.1
B.±1
C.
D.-1158.[
]A.
B.
C.
D.159.把分式中x和y都扩大3倍,那么分式值[]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.结果是[
]A.B.C.D.163.结果是[
]A.
x-4
B.
x-5
C.
x-6
D.
x-7164.以下各恒等变形中,
是因式分解是:[
]A.a2-2ab+b2=(a-b)2B.(a+b)2=a2+2ab+b2C.a2b+ab2+c=ab(a+b)+cD.a2-2ab+b2165.4xy+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.值=[
]A.
B.C.
D.167.
-xy等于[
]A.
B.C.
D.168.计算结果是[
]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)2170.4-4a2+8ab-4b2分解因式结果是[
]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)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.1175.多项式a2-36b2分解因式结果是:[
]A.(a2-6b)(a2+6b)
B.(a+6b2)(a-6b2)C.(a+6b)(a-6b)
D.(a+36b)(a-36b)176.以下因式分解正确是[
]A.B.C.D.177.x3-xy2
因式分解结果是[
]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)179.xn-ym分解因式为(x-y)(x2+xy+y2),那么m、n值是[
]A.m=3,n=3B.m=2,n=2C.m=3,n=2180.使分式值为正条件是[
]A.x<
B.x>
C.x<0
D.x>0181.多项式m(a-2)+(2-a)分解因式结果是[
]A.(a-2)(m+1)B.(a-2)(m-1)C.(2-a)(m+1)D.(2-a)(m-1)182.[
]A.
-a3
B.
-a4
C.
-a5
D.
-a6183.18x3nym+27xny2m公因式是[
]A.3xnym
B.9xnymC.3xnym+1
D.9xny2m184.x2y2+x2y-4xy-2x+4等于[
]A.(xy-2)(y+x+2)
B.(xy+2)(xy+x-2)C.(xy-2)(xy+x-2)
D.(xy-2)(xy-x+2)185.在有理数范围内a8-81b8等于[
]A.(a2-3b2)2(a2+3b2)2B.(a4-9b4)(a4+9b4)
C.(a4+9b4)(a2-3b2)(a2+3b2)D.(a4-9b4)2186.=[
]A.a
B.-a
C.a2
D.2a187.等于[
]A.
1
B.
2
C.
3
D.
4188.将多项式16x8-1在有理数范围内分解因式,
正确结果是:[
]A.(4x4+1)(4x4-1)B.(4x4+1)(2x2+1)(2x2-1)C.(2x2+1)2(2x2-1)2D.(2x2+2x+1)(2x2-2x+1)(2x2+1)(2x2-1)189.多项式
am-1-am+2+am+am+1公因式是:[
]A.am
B.am-1
C.am+1
D.am+2190.
2x3n-12x2ny2+18xny4等于[
]A.2xn(xn-3y2)2
B.2xn(xn-3y2)C.xn(2xn-6y2)2
D.2x(xn-3y2)2191.结果是[
]A.-B.-C.
D.192.结果是[
]A.
-2
B.
-1
C.
1
D.
2193.把27x2n-3x2n+2(n为自然数)分解因式是:[
]A.3x2n(9-x2)
B.3x2n(3+x)(3-x)C.3xn(3+x)(3-x)
D.以上答案都不对194.
a6+a4-a2-1[
]A.(a-1)3(a+1)3
B.(a+1)2(a-1)2
C.(a2+1)2(a+1)(a-1)
D.(a2+1)2(a+1)195.将多项式:
-5x2m+1yn+2-15xm+1y2n+1因式分解正确结果是:[
]A.
-5xm+1yn+2(xm+3yn-1)B.
-5xmyn(xm+1y2+3xyn+1)C.
-5x2m+1y2n+1(y-n+1+3x-m)D.
-5xy(x2myn+1+3xmy2n)196.ambn-anbm(其中m>n)分解因式结果是[
]A.ambn(1-bm-n)
B.anbn(am-n-bm-n)C.ambm(bn-an)
D.ab(am-1-bm-1)197.假如a+b=2c,且a≠b,则=[
]A.-4B.-2C.0D.2198.结果是[
]A.
B.
C.
D.
199.a5-a3+a2-1等于[]A.(a2-1)(a3+1)B.(a+1)2(a-1)(a2-a+1)C.(a+1)(a-1)(a3+1)D.(a-1)2(a+1)(a2-a+1)200.多项式-3x2n-9xn分解因式,
其结果是:[
]A.3(-x2n+3xn)B.-(x2n-3xn)C.-3xn(xn+3)
D.-3xn(x2+3)三、填空题。201.已知:
a+2b=100,
a-2b=0.01,
则
5a2-20b2值是_________.202.值等于零时,
x取值为______.203.当x=_______时,分式值是零.204.已知
a-b-c=-5,
则
a(a-b-c)+b(c-a+b)+c(b+c-a)值是____________.205.=___________206.=_________207.当
x=-1,
a=296,
b=-307,
c=时,
x(a+b-3c)-(3c-a-b)值是____.208.已知:
a-b=1,
则
a3-b3-3ab=________.209.已知:
x+y=-2,
a+b=,
x2-xy+y2=-1,
求bx3+ay3+by
3+ax3值是____________.210.当x=______时,
分式没有意义.211.=___________212.当m=__________时,分式值为0.213.已知=,则值为_______.214.在分式中当a=_______时分式值为零.215.当x=3时,分式,则m=________.216.当x=_____时,分式值为零.217.=_________218.=_________219.=_____
(用分数表示)220.填写下式变形依据:
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