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专题9
分式的混合运算(见学生用书P35)
计算.
(1)avs4alcol(f(11a-2)a2-4a
)avs4alcolCf22a-3a2-I-Ia-1
(3x-2x+1alvs4allcol(1+(2x+5x2-4)
(4x-1x2-2x+1-avs4allcolfix2+x-
1x-1)-x-1
(5)avs4allcol(y-f(2xy-x2y)-x2-y2y
(6)aa2-4-alvs4allcol(1-f(2a+2))
$7x2-6x+9aìvs4allcol(f(33-x)-1)
(8)lalvs4allcol(x+1-f3x-1))x2-4x+
4-1.
解:(1)原式=la+2:(a+2)(a-2)a+la-2:(a+2)(a-2)a
-a-2a+a+2a-2
(2)原式-f(2(a-1)2a-3(a+1)(a-1))(a-1
=2(a-1)-2a+3(a+1)(a-I)(a-1)=2a-2-2a+3(a+l)(a-I)(a-1)=la+l
(3)原式=x-2x+1x2-4+2x+5x2-4=x-2x+1(+1)2[+2)(-2)=x+1x+$
(4)原式-1x-1-x2+x-1-x2+lx-I-lx-Ix-1x-1x
($)原式=y2-2xy+x2y·y(+y)(x-y)=(-y)2y·y(x+y)(x-y)=x-x+y
(原式=a(a+2)(a-2)+a+2-2a+2-a(a+2)(a-2)a+2a-la-2
(7)原式-(x-3)2x·avs4alcolf(33-x3-x)=(x-3)2x·x3-x=3-x
(8)原式=avs4alcol(f(x2-13x-l-(x-2)2x-1=x2-4-1x-I(-2)2-(x+2
(x-2)x-1x-1(x-2)2-x+2x-2
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