问题 解答题
(1)计算:|
3
-1|+2-2-2sin60°+(π-2010)0
(2)先化简,再求值:(x+1-
15
x-1
)÷
x-4
x-1
,其中x=5
2
-4.
答案

(1)原式=

3
-1+
1
4
-2×
3
2
+1=
1
4

(2)原式=(

x2-1
x-1
-
15
x-1
)÷
x-4
x-1

=

x2-16
x-1
-
x-1
x-4

=

(x-4)(x+4)
x-1
-
x-1
x-4

=x+4.

当x=5

2
-4时,原式=5
2
-4+4=5
2

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