16.2分式的运算
第1课时
课前自主练
1.计算下列各题:
(1)×=______;(2)÷=_______;(3)3a·16ab=________;
(4)(a+b)·4ab2=________;(5)(2a+3b)(a-b)=_________.
2.把下列各式化为最简分式:
(1)=_________; (2)=_________.
3.分数的乘法法则为_____________________________________________________;
分数的除法法则为_____________________________________________________.
4.分式的乘法法则为____________________________________________________;
分式的除法法则为____________________________________________________.
课中合作练
题型1:分式的乘法运算
5.(技能题)·(-)等于( )
A.6xyz B.- C.-6xyz D.6x2yz
6.(技能题)计算:·.
题型2:分式的除法运算
7.(技能题)÷等于( )
A. B.b2x C.- D.-
8.(技能题)计算:÷.
课后系统练
基础能力题
9.(-)÷6ab的结果是( )
A.-8a2 B.- C.- D.-
10.-3xy÷的值等于( )
A.- B.-2y2 C.- D.-2x2y2
11.若x等于它的倒数,则÷的值是( )
A.-3 B.-2 C.-1 D.0
12.计算:(xy-x2)·=________.
13.将分式化简得,则x应满足的条件是________.
14.下列公式中是最简分式的是( )
A. B. C. D.
15.计算·5(a+1)2的结果是( )
A.5a2-1 B.5a2-5 C.5a2+10a+5 D.a2+2a+1
16.(2005·南京市)计算÷.
17.已知+=,则+等于( )
A.1 B.-1 C.0 D.2
拓展创新题
18.(巧解题)已知x2-5x-1 997=0,则代数式的值是( )
A.1 999