m |
n |
m |
n |
由正弦定理得2sinBcosA-sinCcosA-sinAcosC=0
∴2sinBcosA-sin(A+C)=0,2sinBcosA-sinB=0,
∵A、B∈(0,π),∴sinB≠0,cosA=
1 |
2 |
π |
3 |
(Ⅱ)y=2sin2B+2sin(2B+
π |
6 |
π |
6 |
π |
6 |
=1+
| ||
2 |
1 |
2 |
π |
6 |
由(Ⅰ)得,0<B<
2π |
3 |
π |
6 |
π |
6 |
7π |
6 |
∴當(dāng)2B-
π |
6 |
π |
2 |
π |
3 |
m |
n |
m |
n |
π |
6 |
m |
n |
m |
n |
1 |
2 |
π |
3 |
π |
6 |
π |
6 |
π |
6 |
| ||
2 |
1 |
2 |
π |
6 |
2π |
3 |
π |
6 |
π |
6 |
7π |
6 |
π |
6 |
π |
2 |
π |
3 |