整式的乘法习题精选(共9页).doc
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1、精选优质文档-倾情为你奉上151整式的乘法习题精选选择题:1下列各式中,正确的是( )At2t3 = t5 Bt4+t2 = t 6 Ct3t4 = t12 Dt5t5 = 2t5答案: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t3t4 = t3+4 = t7t12,C错;t5t5 = t5+5 = t102t5,D错;t2t3 = t2+3 = t5,A正确;答案为A2下列计算错误的是( )Aa2(a)2 = a4 B(a)2(a)4 = a6C(a3)(a)2 = a5 D(a)(a)2 = a3答案:C说明:a2(a)2 = a2a2 = a2+2
2、 = a4,A计算正确;(a)2(a)4 = a2a4 = a2+4 = a6,B计算正确;(a3)(a)2 = a3a2 = a5a5,C计算错误;(a)(a)2 = aa2 = a3,D计算正确;所以答案为C3下列计算中,运算正确的个数是( )5x3x3 = x3 3m2n = 6m+nam+an = am+n xm+1xm+2 = xmxm+3A1 B 2 C3 D4答案: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 3m2n = 3122 = 34 = 12,而 6m
3、+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+1xm+2 = xm+1+m+2 = xm+m+3 = xmxm+3,正确;所以答案为A4计算a6(a2)3的结果等于( )Aa11 Ba 12 Ca14 Da36答案:B说明:a6(a2)3 = a6a23 = a6a6 = a6+6 = a12,所以答案为B5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 = a6答案:D说明:(a3)3 = a33
4、 = a9,A错;(a5)4 = a54 = a20,B错;(a)53 = (a)53 = (a)15 = a15,C错;(a)23 = (a)23 = (a)6 = a6,D正确,答案为D6下列各式计算中,错误的是( )A(m6)6 = m36 B(a4)m = (a 2m) 2 Cx2n = (xn)2 Dx2n = (x2)n答案:D说明:(m6)6 = m66 = 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
5、正确,答案为D7下列计算正确的是( )A(xy)3 = xy3 B(2xy)3 = 6x3y3C(3x2)3 = 27x5 D(a2b)n = a2nbn答案: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下列各式错误的是( )A(23)4 = 212 B( 2a)3 = 8a3C(2mn2)4 = 16m4n8 D(3ab)2 = 6a2b2答案:C说明:(23)4 = 234 = 212,A中式子正确;( 2a)3 =
6、 (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中式子正确,所以答案为C9下列计算中,错误的是( )Amnm2n+1 = m3n+1 B(am1)2 = a 2m2C(a2b)n = a2nbn D(3x2)3 = 9x6 答案:D说明:mnm2n+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
7、,D中计算错误;所以答案为D10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(x2y) = x4y3答案: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)3(2xy)2 = (2xy)3+2 = (2xy)5 = 25x5y5 = 32x5y5,B中计算正确;(m2n)(mn2)2 =m2n()
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