新人教版八年级上整式的乘法综合检测试卷及答案1

1、整式的乘法同步测试一、选择题：1下列各式中，正确的是（ ）At2·t3 = t5      Bt4+t2 = t 6      Ct3·t4 = t12      Dt5·t5 = 2t5 2下列计算错误的是（ ）Aa2·(a)2 = a4               

2、     B(a)2·(a)4 = a6C(a3)·(a)2 = a5                   D(a)·(a)2 = a33下列计算中，运算正确的个数是（ ）5x3x3 = x3             &

3、#160;       3m·2n = 6m+nam+an = am+n                   xm+1·xm+2 = xm·xm+3A1      B 2      C3    

4、60; D44计算a6(a2)3的结果等于（ ）Aa11      Ba 12      Ca14      Da365下列各式计算中，正确的是（ ）A(a3)3 = a6    B(a5)4 = a 20    C(a)53 = a15    D(a)23 = a66下列各式计算中，错误的是（ ）A(m6)6 = m36   

5、 B(a4)m = (a 2m) 2    Cx2n = (xn)2    Dx2n = (x2)n7下列计算正确的是（ ）A(xy)3 = xy3            B(2xy)3 = 6x3y3C(3x2)3 = 27x5         D(a2b)n = a2nbn8下列各式错误的是（ ）A(23)4 = 212  

6、                B( 2a)3 = 8a3C(2mn2)4 = 16m4n8            D(3ab)2 = 6a2b29下列计算中，错误的是（ ）Amn·m2n+1 = m3n+1          &

7、#160;      B(am1)2 = a 2m2C(a2b)n = a2nbn                     D(3x2)3 = 9x6 10下列计算中，错误的是（ ）A(2ab2)2·( 3a2b)3 = 108a8b7B(2xy)3·(2xy)2 = 32x5y5C(m2n)(mn2)2 =m4n4D(xy)2

8、(x2y) = x4y311下列计算结果正确的是（ ）A(6ab2 4a2b)3ab = 18ab2 12a2bB(x)(2x+x21) = x32x2+1C(3x2y)(2xy+3yz1) = 6x3y29x2y2z2+3x2yD(a3b)2ab =a4bab212若(x2)(x+3) = x2+a+b，则a、b的值为（ ）Aa = 5，b = 6             Ba = 1，b = 6Ca = 1，b = 6     &#

9、160;       Da = 5，b = 6二、解答题：1计算(1)( 5a3b2)·(3ab 2c)·( 7a2b)；(2) 2a2b3·(mn)5·ab2·(nm)2+a2(mn)·6ab2；(3) 3a2(ab2b)( 2a2b23ab)( 3a)；(4)(3x25y)(x2+2x3)2当x = 3时，求8x2(x2)(x+1)3(x1)(x2)的值3把一个长方形的长减少3，宽增加2，面积不变，若长增加1，宽减少1，则面积减少6，求长方形的面积4(x+my1

10、)(nx2y+3)的结果中x、y项的系数均为0，求 3m+n之值参考答案：一、选择题1.A说明： t4与t2不是同类项，不能合并，B错；同底数幂相乘，底不变，指数相加，所以t3·t4 = t3+4 = t7t12，C错；t5t5 = t5+5 = t102t5，D错；t2t3 = t2+3 = t5，A正确；答案为A2.C说明：a2·(a)2 = a2·a2 = a2+2 = a4，A计算正确；(a)2·(a)4 = a2·a4 = a2+4 = a6，B计算正确；(a3)·(a)2 = a3·a2 = a5a5，C计算错误

11、；(a)·(a)2 = a·a2 = a3，D计算正确；所以答案为C3.A说明：5x3x3 = (51)x3 = 4x3 x3 ，错误； 3m与2n 不是同底数幂，它们相乘把底数相乘而指数相加显然是不对的，比如m = 1，n = 2，则 3m·2n = 31·22 = 3·4 = 12，而 6m+n = 61+2 = 63 = 21612，错误；am与an只有在m = n时才是同类项，此时am+an = 2amam+n，而在mn时，am与an无法合并，错；xm+1·xm+2 = xm+1+m+2 = xm+m+3 = xm·

12、xm+3，正确；所以答案为A4.B说明：a6(a2)3 = a6·a2×3 = a6·a6 = a6+6 = a12，所以答案为B5.D说明：(a3)3 = a3×3 = a9，A错；(a5)4 = a5×4 = a20，B错；(a)53 = (a)5×3 = (a)15 = a15，C错；(a)23 = (a)2×3 = (a)6 = a6，D正确，答案为D6.D说明：(m6)6 = m6×6 = m36，A计算正确；(a4)m = a 4m，(a 2m)2 = a 4m，B计算正确；(xn)2 = x2n，C计

13、算正确；当n为偶数时，(x2)n = (x2)n = x2n；当n为奇数时，(x2)n = x2n，所以D不正确，答案为D7.D说明：(xy)3 = x3y3，A错；(2xy)3 = 23x3y3 = 8x3y3，B错；(3x2)3 = (3)3(x2)3 = 27x6，C错；(a2b)n = (a2)nbn = a2nbn，D正确，答案为D8.C说明：(23)4 = 23×4 = 212，A中式子正确；( 2a)3 = (2) 3a3 = 8a3，B中式子正确；(3ab)2 = 32a2b2 = 9a2b2，C中式子错误；(2mn2)4 = 24m4(n2)4 = 16m4n8，D

14、中式子正确，所以答案为C9.D说明：mn·m2n+1 = mn+2n+1 = m3n+1，A中计算正确；(am1)2 = a2(m1) = a 2m2，B中计算正确； (a2b)n = (a2)nbn = a2nbn，C中计算正确；(3x2)3 = (3)3(x2)3 = 27x6，D中计算错误；所以答案为D10.C说明：(2ab2)2·( 3a2b)3 = (2) 2a2(b2)2·(3)3(a2)3b3 = 4a2b4·(27)a6b3 = 108a2+6b4+3 = 108a8b7，A中计算正确；(2xy)3·(2xy)2 = (2xy)

15、3·(2xy)2 = (2xy)3+2 = (2xy)5 = 25x5y5 = 32x5y5，B中计算正确；(m2n)( mn2)2 =m2n() 2m2(n2)2 =m2n·m2n4 =m2+2n1+4 =m4n5，C中计算错误；(xy)2(x2y) = ()2x2y2·x2y =x2y2·x2y = x4y3，D中计算正确，所以答案为C11.D说明：(6ab2 4a2b)3ab = 6ab2·3ab 4a2b·3ab = 18a2b3 12a3b，A计算错误；(x)(2x+x21) = x·2x+(x)·x2(

16、x) = 2x2x3+x = x32x2+x，B计算错误；(3x2y)(2xy+3yz1) = (3x2y) (2xy)+(3x2y) 3yz(3x2y) = 6x3y29x2y2z+3x2y，C计算错误；(a3b)2ab = (a3) 2ab(b)2ab =a4bab2，D计算正确，所以答案为D12.B说明：因为(x2)(x+3) = xx2x+3x6 = x2+x6，所以a = 1，b = 6，答案为B二、解答题1.解：(1)( 5a3b2)·(3ab 2c)·( 7a2b) = (5)×(3)×(7)(a3·a·a2)(b2&#

17、183;b2·b)c = 105a6b 5c(2) 2a2b3·(mn)5·ab2·(nm)2+a2(mn)·6ab2 = (2·)·(a2·a)·(b3·b2)(mn)5·(mn)2+( ·6)(a2·a)(mn)b2 = a3b5(mn)7+ 2a3b2(mn)(3) 3a2(ab2b)( 2a2b23ab)( 3a) = 3a2·ab2 3a2b+ 2a2b2· 3a3ab· 3a= a3b2 3a2b+ 6a3b2 9a2b = 7a3b2 12a2b(4)(3x25y)(x2+2x3) = 3x2·x25y·x2+3x2·2x5y·2x+3x2·(3)5y·(3)= 3x45x2y+6x310xy9x2+15y= 3x4+6x35x2y9x210xy+15y2. 解：8x2(x2)(x