琥珀葫芦怎么制作:数学分式题

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1.X+3/(X-2)^2=A/X-2+B/(X-2)^2求A,B的值
2.若X为分式X-2/X^2+3大于0的最小整数,Y为分式1-Y/-Y^2-2小于0的最大整数,求X+Y的值

1.
(X+3)/(X-2)^2=A/(X-2)+B/(X-2)^2
(X+3)/(X-2)^2=[A(x-2)+B]/(X-2)^2
(X+3)/(X-2)^2=(Ax-2A+B)/(X-2)^2
A=1
B-2A=3
B=5

2.
(X-2)/(X^2+3)>0
X-2>0
X>2
X=3

(1-Y)/(-Y^2-2)<0
1-Y>0
Y<1
Y=0

X+Y=3

1. (X+3)/(X-2)^2=A/(X-2)+B/(X-2)^2
(X+3)/(X-2)^2=[A(x-2)+B]/(X-2)^2
(X+3)/(X-2)^2=(Ax-2A+B)/(X-2)^2
A=1 B-2A=3 B=5
2.(X-2)/(X^2+3)>0 X-2>0 X>2 X=3 (1-Y)/(-Y^2-2)<0 1-Y>0 Y<1 Y=0 X+Y=3