| 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 |
∴当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 |