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专项 23 分式混合运算(三大类型)
1.(2021秋•正定县期末)约分﹣3xy2• =( )
A.﹣ B.﹣ C.﹣ D.﹣
【答案】A
【解答】解:原式= =﹣ .
故选:A.
2.(2022•西青区二模)计算 的结果是( )
A. B. C. D.x
【答案】A
【解答】解:原式= •
= ,
故选:A.
3.(2022•丰顺县校级开学)计算: = .
【解答】解: =
== .
故答案为: .
4.(2018•襄阳)计算 ﹣ = .
答案】
【
【解答】解:原式=
=
= ,
故答案为: .
5.(2021秋•徐汇区月考)计算: .
【解答】解:原式=﹣ • •
=﹣ .
6.(2021•江西模拟)化简: .
【解答】解:原式= •
=﹣ •
=﹣1.
7.(2021春•沙坪坝区校级月考)计算下列各式:(1) • ;
(2) ÷(x﹣2)• .
【解答】解:(1)原式= ;
(2)原式= • • = .
8.(2020秋•喀什地区期末)计算:(1﹣ )÷ .
【解答】解:原式=( ﹣ )×
= ×
= .
9.(2021秋•大兴区期末)化简: ÷ • .
【解答】解:原式= • • =(a﹣1)• =a+1.
10.(2021春•南山区期中)计算: .
【解答】解: = × =x﹣3.
11.(2021•寻乌县模拟)计算: •【解答】解:原式= ×
=﹣ .
12.(2015•佛山)计算: ﹣ .
【答案】【解答】解:原式= ﹣ = =
.
13.(十堰)化简: .
【解答】解:
= + +2
= + +2
= + +
=
=
14.(2019秋•嘉定区期末)计算: .
【解答】解:原式= + ﹣ ,= ,
= ,
=﹣ ,
=﹣ .
15.(2019秋•惠州期末)计算: .
【 解 答 】 解 : = ﹣ = =
= .
16.(2019秋•石景山区期末)计算: ﹣ .
【解答】解:原式= +
=
=
17.(2021•碑林区校级一模)化简:( ﹣ )÷ .
【解答】解:原式=[ ﹣ ]÷
= ÷= •
= .
18.(2020秋•潍城区期中)计算:
(1) ;
(2) ;
(3) .
【解答】解:(1)原式= • = = ;
(2)原式= ﹣
=
= ;
(3)原式= • +
= +
=
= .
19.(2020秋•道里区期末)计算:
(1)(1﹣ )÷ ;(2)(1+ )÷ • .
【解答】解:(1)(1﹣ )÷
=
=x;
(2)(1+ )÷ •
=
=
=﹣2.
20.(2020秋•石阡县月考)化简:
(1) + • ;
(2)( + )÷ .
【解答】解:(1)原式= + •
= +
= .
(2)原式= •
= .
21.(2019秋•曹县期末)计算:(1) ;
(2) .
【解答】解:(1)原式= ﹣
= ﹣
=
=
= ;
(2)原式= •
= •
= • = .