在△ABC中,求证:S△ABC=a^2/[2(cotB+cotC)]

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adonsharon 春芽

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S△ABC=1/2absinC =1/2a^2*(b/a)*sinC =1/2a^2*(sinB/sinA)*sinC =1/2a^2*sinB*sinC/sinA =1/2a^2*sinB*sinC/sin(B+C) =1/2a^2*sinB*sinC/(sinBcosC+cosBsinC) =1/2a^2/(sinBcosC/sinB*sinC+cosBsinC/sinB*sinC) =1/...

1年前

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