问题 解答题
化简求值
(1)已知x=
1
2+
3
,求
x
2+
3
-
x2-2x+1
x2-x
的值.
(2)(2
y
x
-
x
y
+
1
xy
)
xy
,其中x=1,y=2.
答案

(1)∵x=

1
2+
3
=2-
3

∴x-1=1-

3
<0,

x
2+
3
-
x2-2x+1
x2-x

=

2-
3
2+
3
-
(x-1)2
x(x-1)

=(2-

3
2-
1-x
x(x-1)

=7-4

3
+
1
x

=7-4

3
+2+
3

=9-3

3

(2)∵x=1,y=2,

(2

y
x
-
x
y
+
1
xy
)
xy

=2y-x+1,

=2×2-1+1,

=4.

单项选择题
单项选择题