整式的乘法练习题doc.docx
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整式的乘法练习题doc
22整式的乘法练习题,则(a厘米+a-6)17.一长方体的高是(a+2)厘米,底面积是它的体积是
(一)填空______.
m3158552nm+n=______a.=()10.3.3m,·2m=__10=b,那么18.若101.a=a=(-a2)______..2n+25n+9.3(a-b).[9(a-b)=______(a-b)](b-a)19.____.4.(x+a)(x+a)=______n35233n+12-8,那么x=______.知3x·(x+5)=3x21.5.a若·(-a)·(-3a)(-7ab·6)=______..(-a20b).·(-ab已2n-14222n+1212,则).n=______a.=aa·.)=______.7(2x)x·=(
3223m2nmpn·2a]=______.23.若a<0,.229=6a·______..[(a)]=______.10(8an)为奇数,÷[(4a).824abn2325______0.)则(-mn).(-mn)=______.(a23232432n22n=______.-x+1)-1).多项式的积11(3x-2x+x-8x+7)(2x+5x+6x-3)中x项的系(x-x24.(x-x-1)(x
2224)的最高次项是·(xy-3x.数是______.(4+2x-3y)·(5x+y+2y-4xy)25______2m-nxnxm12.是的六次多项式,是的四次多项式,则的x是______.次多项式.
2+|3y+3z-4|=0,|x-z-2|+(3x-6y-7),y,z满足.26已知有理数x
3n+133n+13324n-12的值(n为自然数)y等于z______..+1)]=______[x).14(3x-7x-x(4xx则nm4(-..=______][(-1){.15}16二)选择
232427)-[-(-a{.下列计算最后一步的依据是.=______}][]
342·(-4a5ax)x3m+n3(m+n)3mn.y;D.B.y;C.y30.下列计算错误的是[×=[5]
22234+m-6;·a·x·x;B.A.(x+1)(x+4)=x(m-2)(m+3)=m(-4)]·a+5x+422-9x+18.(乘法交换律)D.C.(y+4)(y-5)=y(x-3)(x-6)=x+9y-20;
2432322所得的结果是)·(xx)[·(-ab])-a31.计算=-20(aab48484738.-abb;;B.-aD结乘法合ba;C.A.a.b(32.下列计算中错误的是律)[]
2362n52n+555;B.A.x.[(a+b)[(x+y)]=(x+y)=(a+b)];=-20amnmnm+1nmn+n.[(x+y)=(x+y)[(x+y)]]=(x+y)D;..C343672764912;.-8x.-8xyy).的值是[]A-6x)(;yC;(-2x33.By10..幂的D.-6xyDCBA.乘法意义;.乘方定义;.同底数幂相乘法则;34.下列计算正确的是[乘方法则.]
3n+13n+1236128m8m16m45.=-m=2a.;)(-a=a;B.D)a(-m)(-m)][28.下列计算正确的是=a;C.a·a.A(am-132n35233934359][的结果是(a-b)35.··(b-a)(a-b).5y·3y.D=12x4x·3x.;=5x3x·.B;=18a2a9a.A·2xC;=15y
2n+m2n+m32n+mmn[的运算结果是y·(y.29)D.-(a-b)B.A](a-b);.;C(b-a);.以上都不对.
B.只有
(1)与(3)正确;C.只有一定
(1)与(4)正确;D.只有
(2)数36.若0<y<1,那么代式y(1-y)(1+y)的值与(3)是[]正确.
n2n-1y的计算结果是[(-6xy)]·3x42.BA.正的;.非负;C.负的;D.正、负不能唯一确定.3n-122n-1333n-13n-13932.108xyy;Dy;B的计算结果是[]A.40m;.-36x.y;C..A18x.37(-2.5m-108x)·(-4m)
999
-40mB..;C400mD;.-400m.
m2m[]b.如果,那么<b(m为自然数)b的值是38][
C<0;.0<b.≠.1Db<1;bB0A.b>;.
].下列运算中错误的是40[
4nn+1n44n4n44n+4=ab.b;B(ab;)-(-3aA.b)=-81a2n+6n232=-54a;.C(-2a)·(3a)44.下列计算正确的是[]
n+1n+2nn+15x=15x(3xD.-2x)·-10x.2222y;-12x-4xy)·3xy=18xy(6xyA.
[.下列计算中,]41232+1;-1)=-x-2xB.(-x)(2x+xyx-yx,,
(1)b(x-y)=bx-by
(2)b(xy)=bxby(3)b,=b-b2322222y;(-3xC.y)(-2xy+3yz-1)=6xy-9xyz-3x2n-242n-142n-13
(2).=xy(5)x,)=(6(4)216y与
(1).只有A
正确;
nmnm>0,那么[yxy<0,要使x]y·x45.下列计算正确的是[]50.设222mnmn2332;A.m,n都应是偶数;)B.mB.a,·a=an;C.(-a都应是奇数;)(a+b)A.=a=(-a+b;
325.C.不论m,n=(a-b)为奇数或偶数都可以;D.不论m,(a-b)D.n(b-a)为奇数或偶
数都不行.
][
2n3n222n的值为[-4(x)].若n为正整数,且x=7,则(3x)51
A.833;B.2891;C.3283;D.1225.
的幂的形式,正确的是1047.把下列各题的计算结果写成(三)计算
][
89)(4×)(7×52.(6×1010300010063×10=10;.100A.×10=10;B10004n+1y)·(-2x).(-5x.1053).1554n+32n5.10=1000.1000=10100×;D100×=10.C2][t48.-(t+1)(t-5)的计算结果正确的是22..;.;4t+5.;.A-4t-5BCt-4t+5Dt+4t-522.55.(-4a)·(2a··.54(-3ab)(-ac)6ab3222的值分,qp的和x-3x+q)(x.使49+px+8)(x的积中不含x2+3a-1).
][别是
p=-3B;q=0,p=0.A.q=1,p=3.C;q=-9,p=-3.D;q=1,.
3·3(b-a)-8(a-b)65.66.2[(x+2)(x+1)-3]+(x-1)(x-2)-3x(x+3)57.(x+2y)(5a+3b)..67.(-4x.56.(3m-n)(m-2n)322.(-xy)+(-3xy)y)·3m322m4322.·a59[(-a)b)·(-ab.c)+[(]58.(-ab)·(-a25m-a)].33m33m2m)].68.计算[(-a)](m·a+[(-a)为自然数
2n-1nn+1(x+y)(x.+x).61-xy+.60x(x-x2)y.2再求其值,-7x+13)(x-2)(x-3)+2(x+6)(x-5)-3(x69.先化简,
263(2x-+2x+1)-(2x+3)(x-5)5x(x62...
其中x=.3)(x+4)
2322·)(-2ab.64(3a)
b-2ab-4b
22yxx-225)=4
55xyxyxyzzxy)=_____.8.(--0.7)(+0.7+)=_____,()(3225,求-ab(a-b)b的值-ab70.已知ab=-6
6611242xxyy9.()(_____)=+-
16410.观察下列各式:
2xxx-1-1)((+1)=《乘法公式》练习题
(一)23xxxx-+(1-一、填空题1)(+1)=
324xxbbaaxxx-1+1)(+1)=1.(+_____)(-)=_____,公式的条件是,结论是_____.(+-1xbxaxba--1)(+1)=_____,
(2)=_____,(+)(22.(-根据前面各式的规律可得
31yyx)()=_____.+nn-1xxxx+1)=_____.+…
(1)(-++
322mxxxxyy二、选择题+4)=_____,(+3)(_____)=9-,(---3.(+4)(22nmn11.下列多项式乘法,能用平方差公式进行计算的是())(_____)=-
22xyxyxyxzabab))(-3-A.()C.(+)(---)B.(2()×4.98102=(_____)(_____)=()-=_____.+3-)(222mnnyxxmy)5.-+3D.(--2
(2)(3-)=_____.)(
22bbabaa12.+)()(-+)=_____.下列计算正确的是()6.(2222xxxbxxabxbx-7.(_____4)=-)(_____2-,(_____16-)(_____+44-)=9A.(2+3)(2-3)=2-9B.(+4)(-4
2bxxx三、解答题)(-1D.(C.(5+-)(6)=-1+4--30
222abbxax-(--160.9718.(-25)19.+5)(-25)17.1.034×)=1aa-6)-(13.下列多项式乘法,不能用平方差公式计算的是()+6)(xyzyxyxxyzxyabbaxy)
)3+4+2(4)-20.(2A.(--)(3)(--+)B.(3+)(--)(311122yxyxyx)-21.()(++)(yabayxb--C.(2--)()(2+)D.(0.5-
933xyxyxxxyxxx+2)(22(3-+)23.3
(2)
(1)-+1)
(2)--(0.5)+22.(2xxy)5)需乘以下列哪个式子,才能使用平方差公式进行-14.(43-222002200124.998--计算()425.2003×2222
yxyyxx《乘法公式》练习题
(二)5A.-4-5--B.4+5)C.(42yx1.--()2.---()D.(4+5)222222y?
b)?
?
a?
bx?
)?
2xy(x?
ya(24aaaa3.--()4.)的计算结果是15.-+
(1)(1+)(1+()222222y9xy2x?
?
?
(2x3y)?
(a?
b?
?
a?
2abb)12?
44aa(D.11B.1C.2-A.-1)2-
22yx5.()的是()25下列各式运算结果是16.-22y?
4?
x93)(x(2?
3y2x?
y)xyyxxxyyx6;--B.()+5)(A.(+5--+5)(5-)C.(____)?
__________x32x?
y)(3?
y(xyyxxyy7.;)+25)(-5-D.()(5)2_____y?
2(x5)?
__________
.;820.下列计算不正确的是()______________)?
x?
2y(2x?
3y)(311B)(A)(22222;9.y?
xxy()?
)?
x?
x(______________)(y2x?
3y)?
(4x?
6
2xx1102(C)(D)22________________?
?
2y)(xb?
?
b)(b?
a)?
a(a
211.;2222y?
?
2?
x?
y)xy?
x(__?
__________)((x?
3x?
3)(x9?
)21.化简:
.1213。
;;24?
)(________2)?
x(x?
)?
aa(c?
)(c_?
x?
(2x1)(2?
1)1?
__________bb?
)?
(b?
c)(?
c)?
b(a?
)(a;14.___))(?
3x?
3?
__________()?
?
(x1)(x2?
x;.1522__)1(2x?
)(?
x?
2?
__________16.;22yx?
4)______)(__x(2?
____?
y?
1.化简求值:
,其中2222.;1742)2)x?
(?
2(?
?
(2x1)(x2)?
x?
1?
?
x______________x?
)?
1?
)(?
)((1?
x1x1x)(
218.下列多项式乘法中不能用平方差公式计算的是()
A()(B)23322323)a(?
b))(ab?
aba(?
)(?
b()D)C(2222)?
xy2y21x2)(?
2(xy1y?
)x(?
)(.下列多项式乘法中可以用平方差公式计算的是(1923.解方程:
)
A()B)(22)?
)(?
()?
2)31(?
x?
(x1?
13x1x1)?
a)(ba?
(?
x?
)(2?
)b(x211D)C(())x(x2?
)(?
1)y?
x(?
y)(x
33
2.化简:
如果,已知
(2)24.
(1)
(1)(2x-y+z-2c+m)(m+y-2x-2c-z);22?
)?
(xx?
1)?
(x?
y22ba6?
?
ab?
15,ab?
22yx?
求的值;求xy?
2222baba的值?
和?
2
.计算:
12222;
(2)(a+3b)(a-3ab+9b))-(a-3b)(a+3ab+9b2
(1)(a-2b+c)(a+2b-c)-(a+2b+c);
22.(3)(x+y)(y+z-x)(z+x-y)+(x-y)(x+y+z)(x+y-z)44
(2)(x+y)(x-y);222(3)(a+b+c)(a.-ab-ac-bc)+b+c
222z.已知(x+y+z)(x-y+z)(-x+y+z)(x+y-z)=x.+y,化简31b?
c6.已知,且,则2?
b(a?
)(c?
a)?
(bc)?
0a?
a4
111,满足4.已知,那么ca,,b?
?
8ca?
b?
?
0abc?
cab的值是
((A)正数;B)零(D)正负不能确(C)负数定
7.已知求的值式代,则数.满足若5.实数33222322236,caca?
?
?
abc6,?
b?
?
14,?
b?
?
9?
c?
ba?
cab,,abc的最大值是222)c?
b?
)?
a()ba(?
?
c(
)C(18)B(;27A();)D(;1512.