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数学运算专题测试
班级__________ 姓名_______________ 分数____________
1..计算:
(1) (-x-y) (2) (a+b)(-b-a) (3) (a+b)(a-b) (4) (a+b)(-b+a)
(5) (m+2)(m-2)-m(m-3) (6) (m+1)-(1-m)(1+m) (7) (x+2y-3)(x-2y+3)
(8) (a + b-2c)2 (9) x2-(4-x)2 (10) (-a+2b−c)(a+2b+c)
(11) (m+3n)2(m−3n)2 (12) (m−2n)(m2+4n2)(m+2n) (13) (3x-2y)2-4(2x-y)(x-y).
(14) ( 2a+3b)2−2( 2a+3b)(a−2b)+(−a+2b)2 (15) (2x-y)(2x+y)+(2x-y)(y-4x)+2y(y-3x)
2、用简便方法计算:(1)30 ×29 (2)999
(3)20162-2015×2017 (4) (3+1)(32+1)(34+1)(38+1)(316+1)
3.先化简,再求值:(x-2y)(x+2y)-(2x-y)2+(x+2y)2,其中,x=-1,y=-2.
4.解方程2(x-1)+(x-2)(x+2)=3x(x-5) 5.解不等式:(x-8)2-(x-5)(x+5)<-31.
6.已知(a+b)2=25,(a-b)2=9,求ab与a2+b2的值.
7.已知x2-4x+1=0,x≠0求:(1) x2+ ;(2) .
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