题目内容

(1)计算:
9
-(
1
2
)-1+(2-
2
)0
-2cos60°;
(2)先化简:(
1
x+1
-1
÷
x
x2-1
,再选择一个恰当的x值代入求值.
(1)
9
-(
1
2
-1+(2-
2
0-2cos60°
=3-2+1-2×
1
2

=3-2+1-1
=1;

(2)(
1
x+1
-1)÷
x
x2-1

=
1-x-1
x+1
÷
x
(x+1)(x-1)

=
-x
x+1
(x+1)(x-1)
x

=1-x,
要使分式有意义,则(x+1)(x-1)≠0,x≠0,
解得x≠±1,x≠0,
所以,x=2时,原式=1-2=-1.
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