1-cos2x |
2 |
3(1+cos2x) |
2 |
=sin2x+cos2x+2=
2 |
π |
4 |
(1)由-
π |
2 |
π |
4 |
π |
2 |
3π |
8 |
π |
8 |
所以函数的单调增区间为[-
3π |
8 |
π |
8 |
(2)令2x+
π |
4 |
π |
2 |
π |
8 |
所以当x=
π |
8 |
2 |
(3)由2x+
π |
4 |
π |
2 |
π |
8 |
kπ |
2 |
所以该函数的对称轴方程为x=
π |
8 |
kπ |
2 |
由2x+
π |
4 |
π |
8 |
kπ |
2 |
所以,该函数的对称中心为:(-
π |
8 |
kπ |
2 |
1-cos2x |
2 |
3(1+cos2x) |
2 |
2 |
π |
4 |
π |
2 |
π |
4 |
π |
2 |
3π |
8 |
π |
8 |
3π |
8 |
π |
8 |
π |
4 |
π |
2 |
π |
8 |
π |
8 |
2 |
π |
4 |
π |
2 |
π |
8 |
kπ |
2 |
π |
8 |
kπ |
2 |
π |
4 |
π |
8 |
kπ |
2 |
π |
8 |
kπ |
2 |