2020年苏科版七年级数学下册 计算专题训练
训练一
1.下列计算正确的是( )
A. (a2)3=a5 B. a6?a3?a3 C. an?an?2an D. a2?a2?a4 2.下列等式由左边到右边的变形中,属于因式分解的是 ( ) A.(a?1)(a?1)?a2?1 B.a2?6a?9?(a?3)2 C.x2?2x?1?x(x?2)?1 D.?18x4y3??6x2y2?3x2y 3.计算:
(1) (??3)0?(?)?2???2?3 (2) (?2a2)2?a4?(a4)2
2(x?3)(x?2)?x(x?1) (4) ?2x?3y???y?3x??3x?y? (3)
12
4.因式分解: (1)a?x?y??b?y?x?; (2)3ax2?6axy?3ay2
5.解方程组: (1) ?
6.?a?2b??a?2b???a?2b??4ab,其中a?2,b?
2?3x?2y?1?x?y?6 (2) ?
?3x?4y?7?y?2x1. 10训练一答案
1. B 2. B
228-5x?12xy?10y3a?2x?63. (1)-11 (2) (3) (4) 23a(x?y)(a?b)(x?y)4. (1) (2)
5.(1)??x?2?y?4 6.原式
?2a2?8
(2)??x?1?y?1
训练二
1.下列运算中,正确的是( )
A. a6?a6?a12 B. (?a)?(?a)4??a5 C. (?a3)5?a15 D. x4?x2?x2 2.下列各式能用平方差公式计算的是( )
A. (3a?b)(3b?a) B. (x?y)(x?2y) C. (y?1)(y?1) D. (2y?1)(?2y?1) 3.计算或化简
(1)(?)?1?(?3)2?(??2)0 (2) 3m2?n(7m?n)?m(3m?7n) (3)(3?2x?y)(2x?y?3)
4.分解因式:(1) m3?12m2?20m (2) (x2?y2)2?4x2y2
5.解方程组或不等式组
?x?y?z?1?2x?13x?2??1?(1)? (2) 32?x?y?z?5??9x?3y?z?17??2x?3?x?121213
6.mn?2,m?n?3,求下列各式的值:(1) m2?n2 ;(2)m?n.
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