如图,在△ABC中,AB=AC,以AB为直径的⊙O分别交AC,BC于点D,E点F在AC的延长线上,且∠CBF=1/2∠CAB.1.求证:直线BF是⊙O的切线2.若AB=5,sin∠CBF=五分之根号五,求BC和BF的长
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![如图,在△ABC中,AB=AC,以AB为直径的⊙O分别交AC,BC于点D,E点F在AC的延长线上,且∠CBF=1/2∠CAB.1.求证:直线BF是⊙O的切线2.若AB=5,sin∠CBF=五分之根号五,求BC和BF的长](/uploads/image/z/14566321-1-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2CAB%3DAC%2C%E4%BB%A5AB%E4%B8%BA%E7%9B%B4%E5%BE%84%E7%9A%84%E2%8A%99O%E5%88%86%E5%88%AB%E4%BA%A4AC%2CBC%E4%BA%8E%E7%82%B9D%2CE%E7%82%B9F%E5%9C%A8AC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%B8%8A%2C%E4%B8%94%E2%88%A0CBF%3D1%2F2%E2%88%A0CAB.1.%E6%B1%82%E8%AF%81%EF%BC%9A%E7%9B%B4%E7%BA%BFBF%E6%98%AF%E2%8A%99O%E7%9A%84%E5%88%87%E7%BA%BF2.%E8%8B%A5AB%3D5%2Csin%E2%88%A0CBF%3D%E4%BA%94%E5%88%86%E4%B9%8B%E6%A0%B9%E5%8F%B7%E4%BA%94%2C%E6%B1%82BC%E5%92%8CBF%E7%9A%84%E9%95%BF)
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