问题 解答题
(1)计算:
1
4
12
+tan30°-|-
3
|

(2)先化简,再求值:[(xy+2)(xy-2)-2x2y2+13]÷(xy-3),其中:x=10,y=-
1
5
答案

(1)原式=

3
2
+
3
3
-
3

=-

1
6
3

(2)[(xy+2)(xy-2)-2x2y2+13]÷(xy-3)

=(x2y2-4-2x2y2+13)÷(xy-3)

=((9-x2y2)÷(xy-3)

=(3-xy)(3+xy)÷(xy-3)

=-(xy+3)

当x=10,y=-

1
5
时,

原式=-[10×(-

1
5
)+3]

=-1.

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