问题 解答题
计算:
(1)(
2011
-1)0+
18
sin45°-(
1
4
)-1

(2)2cos245°-tan60°•tan30°;
(3)先化简,再求代数式(
2
a+1
+
a+2
a2-1
a
a-1
的值,其中a=tan60°-2sin30°.
答案

(1)(

2011
-1)0+
18
sin45°-(
1
4
)-1

=1+3

2
×
2
2
-4

=0;

(2)2cos245°-tan60°•tan30°

=2×(

2
2
2-
3
×
3
3

=1-1

=0;

(3)(

2
a+1
+
a+2
a2-1
a
a-1

=[

2(a-1)
(a+1)(a-1)
+
a+2
(a-1)(a+1)
a-1
a

=

3a
(a+1)(a-1)
×
a-1
a

=

3
a+1

将a=tan60°-2sin30°=

3
-1,代入原式得:

原式=

3
a+1
=
3
3
-1+1
=
3

单项选择题
判断题