(1)计算:|-12|+(2014-2)0-3tan30°;(2)先化简,再求值:a?2a2?1÷(a?1?2a?1a+1),其中a是2x2-2x-

2025-06-21 08:13:40
推荐回答(1个)
回答1:

(1)原式=|-2

3
|+1-3×
3
3

=2
3
+1-
3

=
3
+1;

(2)原式=
a?2
(a+1)(a?1)
÷
a2?1?2a+1
a+1

=
a?2
(a+1)(a?1)
÷
a(a?2)
a+1

=
a?2
(a+1)(a?1)
?
a+1
a(a?2)

=
1
a2?a

∵a是方程2x2-2x-7=0的根,
∴a2-a=
7
2

∴原式=
2
7