已知向量M=(根号3SINX/2,1),向量N=(COSX/2,(COSX/2)²),F(X)=向量M乘N(1)求函数F(X)的周期(2)在锐角三角形中,角A,B,C的对边分别是A,B,C,满足(2a-c)COSB=bCOSC,求F(A)的取值范围
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![已知向量M=(根号3SINX/2,1),向量N=(COSX/2,(COSX/2)²),F(X)=向量M乘N(1)求函数F(X)的周期(2)在锐角三角形中,角A,B,C的对边分别是A,B,C,满足(2a-c)COSB=bCOSC,求F(A)的取值范围](/uploads/image/z/1043880-24-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8FM%3D%EF%BC%88%E6%A0%B9%E5%8F%B73SINX%2F2%2C1%EF%BC%89%2C%E5%90%91%E9%87%8FN%3D%EF%BC%88COSX%2F2%2C%EF%BC%88COSX%2F2%EF%BC%89%26%23178%3B%29%2CF%28X%EF%BC%89%3D%E5%90%91%E9%87%8FM%E4%B9%98N%281%29%E6%B1%82%E5%87%BD%E6%95%B0F%EF%BC%88X%EF%BC%89%E7%9A%84%E5%91%A8%E6%9C%9F%EF%BC%882%EF%BC%89%E5%9C%A8%E9%94%90%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%E4%B8%AD%2C%E8%A7%92A%2CB%2CC%E7%9A%84%E5%AF%B9%E8%BE%B9%E5%88%86%E5%88%AB%E6%98%AFA%2CB%2CC%2C%E6%BB%A1%E8%B6%B3%EF%BC%882a-c%EF%BC%89COSB%3DbCOSC%2C%E6%B1%82F%EF%BC%88A%EF%BC%89%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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