2个回答
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1.下列计算错误的是( )
A.(x+1)(x+4)=x2+5x+4 B.(m-2)(m+3)=m2+m-6
C.(y+4)(y-5)=y2+9y-20 D.(x-3)(x-6)=x2-9x+18
2.计算m2-(m+1)(m-5)的结果正确的是( )
A.-4m-5 B.4m+5 C.m2-4m+5 D.m2+4m-5
3.计算( - )( )+b2的结果是( )
A. a2 B. (a2+5b2) C. (a2-5b2) D. a2+ b2
4.如果(x+q)(x+ )的积中不含x项,那么q的值是( )
A.5 B.-5 C. D.-
5.计算:
(1)(x+2)(x+3) (2)(3x-1)(2x-1)
(3)(x-3y)(x+7y) (4)(5x+2y)(3x-2y)
6.计算:
(1)(x+2)(x-3) (2)(a-b)(m+2n)
(3)(x-2y)(y-x) (4)( x- y)( x+ y)
(5)(x-y)2 (6)(a+b)(a-b)
7.当a=- 时,求(a-4)(a-3)-(a-1)(a-3)的值.
◆综合应用
8.利用公式(x+a)(x+b)=x2+(a+b)x+ab计算:
(1)(x+1)(x+3) (2)(a-2)(a-5)
(3)(a-y)(a+2) (4)(m+2)(m-3)
(5)(ab-2)(ab+1) (6)(x-2y)(x+3y)
9.先化简,再求值:(x-1)(x+2)+(2x-1)(x+5)-3(x2-6x-1),其中x=3 .
10.解不等式,并把解集在数轴上表示出来.
x(x-1)+(x-1)(x+1)<2(x+1)(x+1).
◆拓展提升
11.若(x2+px+q)(x2-2x-3)展开后不含x2,x3项,求p,q的值.
参考答案
1.C 2.B 3.B 4.D
5.(1)x2+5x+6 (2)6x2-5x+1
(3)x2+4xy-21y2 (4)15x2-4xy-4y2
6.(1)x2-x-6 (2)am-bm+2an-2bn (3)-x2+3xy-2y2
(4) x2+ xy- y2 (5)x2-2xy+y2 (6)a2-b2
7.-3a+9,10
8.(1)x2+4x+3 (2)a2-7a+10 (3)a2-5a-14
(4)m2-m-6 (5)a2b2-ab-2 (6)x2+xy-6y2
9.28x-4,94
10.x>- ,图略
11.p=2,q=7
A.(x+1)(x+4)=x2+5x+4 B.(m-2)(m+3)=m2+m-6
C.(y+4)(y-5)=y2+9y-20 D.(x-3)(x-6)=x2-9x+18
2.计算m2-(m+1)(m-5)的结果正确的是( )
A.-4m-5 B.4m+5 C.m2-4m+5 D.m2+4m-5
3.计算( - )( )+b2的结果是( )
A. a2 B. (a2+5b2) C. (a2-5b2) D. a2+ b2
4.如果(x+q)(x+ )的积中不含x项,那么q的值是( )
A.5 B.-5 C. D.-
5.计算:
(1)(x+2)(x+3) (2)(3x-1)(2x-1)
(3)(x-3y)(x+7y) (4)(5x+2y)(3x-2y)
6.计算:
(1)(x+2)(x-3) (2)(a-b)(m+2n)
(3)(x-2y)(y-x) (4)( x- y)( x+ y)
(5)(x-y)2 (6)(a+b)(a-b)
7.当a=- 时,求(a-4)(a-3)-(a-1)(a-3)的值.
◆综合应用
8.利用公式(x+a)(x+b)=x2+(a+b)x+ab计算:
(1)(x+1)(x+3) (2)(a-2)(a-5)
(3)(a-y)(a+2) (4)(m+2)(m-3)
(5)(ab-2)(ab+1) (6)(x-2y)(x+3y)
9.先化简,再求值:(x-1)(x+2)+(2x-1)(x+5)-3(x2-6x-1),其中x=3 .
10.解不等式,并把解集在数轴上表示出来.
x(x-1)+(x-1)(x+1)<2(x+1)(x+1).
◆拓展提升
11.若(x2+px+q)(x2-2x-3)展开后不含x2,x3项,求p,q的值.
参考答案
1.C 2.B 3.B 4.D
5.(1)x2+5x+6 (2)6x2-5x+1
(3)x2+4xy-21y2 (4)15x2-4xy-4y2
6.(1)x2-x-6 (2)am-bm+2an-2bn (3)-x2+3xy-2y2
(4) x2+ xy- y2 (5)x2-2xy+y2 (6)a2-b2
7.-3a+9,10
8.(1)x2+4x+3 (2)a2-7a+10 (3)a2-5a-14
(4)m2-m-6 (5)a2b2-ab-2 (6)x2+xy-6y2
9.28x-4,94
10.x>- ,图略
11.p=2,q=7
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2012-08-09
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