17.解:(I)∵(2a-c)cosB=bcosC,
∴(2sinA-sinC)cosB=sinBcosC.
即2sinAcosB=sinBcosC+sinCcosB
=sin(B+C)
∵A+B+C=π,∴2sinAcosB=sinA.…………………………………………4分
- 答案
17.解:(I)∵(2a-c)cosB=bcosC,
∴(2sinA-sinC)cosB=sinBcosC.
即2sinAcosB=sinBcosC+sinCcosB
=sin(B+C)
∵A+B+C=π,∴2sinAcosB=sinA.…………………………………………4分