问题 解答题
(1)计算:
8
-4sin45°+(3-π)0+| -4 |

(2)先化简,再求值:(
1
x-y
+
1
x+y
x2y
x2-y2
,其中x=
3
+1,y=
3
-1
答案

(1)

8
-4sin45°+(3-π)0+| -4 |

=2

2
-4×
2
2
+1+4

=2

2
-2
2
+5

=5;

(2)原式=(

x+y
x2-y2
+
x-y
x2-y2
x2y
x2-y2

=

x+y+x-y
x2-y2
x2-y2
x2y

=

2x
(x+y)(x-y)
(x+y)(x-y)
x2y

=

2
xy

x=

3
+1,y=
3
-1时,

原式=

2
(
3
+1)(
3
-1)
=
2
3-1
=1.

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