整式的乘法----单项式乘以单项式
一、选择题
1.计算x2?y2(?xy3)2的结果是( ) A. x5y10 B. x4y8 C. ?x5y8 D.x6y12
2.(?12x2y)3?(14x2y)2?(?x2y)计算结果为( )
A. ?316x6y3 B. 0 C. ?x6y3 D. ?512x6y3
3.(2.5?103)3?(?0.8?102)2 计算结果是( ) A. 6?1013 B. ?6?1013 C. 2?1013 D. 1014
4.计算2xy?(?12x2y2z)?(?3x3y3)的结果是( )
A. 3x6y6z B. ?3x6y6z C. 3x5y5z D. ?3x5y5z
5.计算?(a2b)3?2a2b?(?3a2b)2的结果为( )
A. ?17a6b3 B. ?18a6b3 C. 17a6b3 D. 18a6b3
6.x的m次方的5倍与x2的7倍的积为( )
A. 12x2m B. 35x2m C. 35xm?2 D. 12xm?2
7.(?2x3y4)3?(?x2yc)2等于( )
A. ?8x13y14c2 B. 8x13y14c2 C. ?8x36y24c2 D. 8x36y24c2
8.x3ym?1?xm?n?y2n?2?x9y9,则4m?3n?( )
A. 8 B. 9 C. 10 D.无法确定 9. 计算(?3x2)?(?23x3m?yn)(?ym)的结果是( )
A. 3x4mymn B. ?11x2m?2ym C. ?2x3m?2ym?n D. ?11(x?y)5m?n3310.下列计算错误的是( ) A.(a2)3?(?a3)2?a12 B.(?ab2)2?(?a2b3)?a4b7
C.(2xyn)?(?3xny)2?18x2n?1yn?2 D.(?xy2)(?yz2)(?zx2)??x3y3z3
二、填空题:
1.(ax2)(a2x)?___________. 2.(__________)(x2y)2??x5y3 3.(?3x3y)?(?x4)?(?y3)?__________.
4.?6a2b?(12abc)2?_____________.
5.(?3a2b3)2?4(?a3b2)5?_____________. 6.15xny?2xn?1?yn?1?______________.
7.2m?(?2mn)?(?12mn)3?_____________.
8.(1.2?103)(2.5?1011)(4?109)?_______________.
三、解答题
1.计算下列各题
(1)4xy2?(?38x2yz3) (2)(317a3b2)(?23a3b3c)
(3)3.2mn2(?0.125m2n3) (4)(?1xyz)?233x2y2?(?5yz32)
(5)5x?(13ax)?(?2.25axy)?(1.2x2y2) (6)25x2y?(?0.5xy)2?(?2x)3?xy3
(7)(?5xy)?3x2y?12x3?(?74y2) (8)5a3b?(?3b)2?(?6ab)2?(?ab)?ab3?(?4a)2
2、已知:x?4,y??18,求代数式17xy2?14(xy)2?14x5的值.
3、已知:39m?27m?36,求m.
二、填空题:
1.(ax2)(a2x)?___________. 2.(__________)(x2y)2??x5y3 3.(?3x3y)?(?x4)?(?y3)?__________.
4.?6a2b?(12abc)2?_____________.
5.(?3a2b3)2?4(?a3b2)5?_____________. 6.15xny?2xn?1?yn?1?______________.
7.2m?(?2mn)?(?12mn)3?_____________.
8.(1.2?103)(2.5?1011)(4?109)?_______________.
三、解答题 1.计算下列各题
(1)4xy2?(?38x2yz3) (2)(317a3b2)(?23a3b3c)
(3)3.2mn2(?0.125m2n3) (4)(?1xyz)?233x2y2?(?5yz32)
(5)5x?(13ax)?(?2.25axy)?(1.2x2y2) (6)25x2y?(?0.5xy)2?(?2x)3?xy3
(7)(?5xy)?3x2y?12x3?(?74y2) (8)5a3b?(?3b)2?(?6ab)2?(?ab)?ab3?(?4a)2
2、已知:x?4,y??18,求代数式17xy2?14(xy)2?14x5的值.
3、已知:39m?27m?36,求m.
整式的乘法----单项式乘以单项式
一、选择题
1.计算x2?y2(?xy3)2的结果是( ) A. x5y10 B. x4y8 C. ?x5y8 D.x6y12
2.(?12x2y)3?(14x2y)2?(?x2y)计算结果为( )
A. ?3x6y3 B. 0 C. ?x6y3 D. ?5x6y31612
3.(2.5?103)3?(?0.8?102)2 计算结果是( ) A. 6?1013 B. ?6?1013 C. 2?1013 D. 1014
4.计算2xy?(?1x2y2z)?(?3x32y3)的结果是( )
A. 3x6y6z B. ?3x6y6z C. 3x5y5z D. ?3x5y5z 5.计算?(a2b)3?2a2b?(?3a2b)2的结果为( ) A. ?17a6b3 B. ?18a6b3 C. 17a6b3 D. 18a6b3 6.x的m次方的5倍与x2的7倍的积为( ) A. 12x2m B. 35x2m C. 35xm?2 D. 12xm?2 7.(?2x3y4)3?(?x2yc)2等于( )
A. ?8x13y14c2 B. 8x13y14c2 C. ?8x36y24c2 D. 8x36y24c2 8.x3ym?1?xm?n?y2n?2?x9y9,则4m?3n?( )
A. 8 B. 9 C. 10 D.无法确定
9. 计算(?3x2)?(?23x3m?yn)(?ym)的结果是( )
A. 3x4mymn B. ?11x2m?2ym C. ?2x3m?2ym?n D. ?11(x?y)5m?n3310.下列计算错误的是( )
A.(a2)3?(?a3)2?a12 B.(?ab2)2?(?a2b3)?a4b7 C.(2xyn)?(?3xny)2?18x2n?1yn?2 D.(?xy2)(?yz2)(?zx2)??x3y3z3