2017级中考数学专题复习—整式、分式的化简及求值
一.解答题(共30小题)
1.计算:(1)(x﹣y)﹣(x﹣2y)(x+y) (2)
2.化简:
(1)(a+b)﹣(a+2b)(a﹣2b)﹣2a(a+3b) (2)(
3.化简下列各式
(1)(a﹣b)+(2a﹣b)(a﹣2b) (2)
4.化简:
(1)(2a+1)(1﹣2a)﹣(a﹣3)(a+2)+2(a+1)
2
22
2
÷(2x﹣)
﹣)÷.
.
(2)(﹣)÷.
1
5.化简:
(1)(a﹣2b)(a+2b)﹣(2a﹣b) (2)(2
﹣)÷.
6.化简:
(1)(a+b)2
+(a﹣b)(2a+b)﹣3a2;
7.化简:
(1)a(2﹣a)+(a+1)(a﹣1)
8.化简:
(1)a(1﹣a)+(a+1)2
﹣1
(2)(x+1﹣). (2)﹣÷.
2)(﹣)÷.
2
(
9.化简:
(1)(a+3b)+a(a﹣6b); (2)
10.化简下列各式:
(1)(a+b)(a﹣2b)﹣(a﹣b) (2)
11.计算:
(1)(2x﹣y)+2x(2y﹣x)+(x﹣y)(x+y) (2)(
12.化简:
(1)(a﹣2b)﹣(2a+b)(b﹣2a)﹣4a(a﹣b) (2)
22
2
2
÷(﹣a﹣b).
.
﹣)÷.
÷(﹣a﹣b)
3
13.化简下列各式:
(1)(a﹣b)﹣a(a﹣2b)+(2a+b)(2a﹣b) (2)
14.计算:
(1)x(x+2y)﹣(x﹣y)+y (2)(
15.化简:
(1)(x+2)+(x+2)(x﹣2)﹣2(2x+1)(3﹣x) (2)
16.(1)(a+b)(a﹣2b)﹣(a﹣b)﹣b(a﹣b). (2)
2
2
2
2
2
.
﹣x+3)÷.
.
.
4
17.化简:
(1)(2a+b)﹣(5a+b)(a﹣b)+2(a﹣b)(a+b) (2)
18.计算:
(1)(x+1)﹣x(1﹣x)﹣2x; (2)(1﹣
19.先化简,再求值:(
20.先化简,再求值:
÷(x﹣2﹣
)﹣
,其中x为方程5x+1=2(x﹣1)的解.
﹣
)÷(
﹣
),其中x=
,y=1.
2
2
2
÷(﹣x﹣1)﹣.
)÷.
5