题目内容
设A、B、C是△ABC的三个内角,且sin2B + sin2C = sin2A +
sinBsinC,则2sinBcosC – sin (B – C)的值为( )
A.
B.
C.
D.
A.
D
由sin2B + sin2C = sin2A +
sinBsinC可得sinA =
而2sinBcosC– sin (B – C) =" sin" (B + C) = sinA.故选D.
而2sinBcosC– sin (B – C) =" sin" (B + C) = sinA.故选D.
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