如图,AD是△ABC的角平分线,EF垂直平分线段AD,且与BC的延长线相交于F点(1)求证:FD²=FC×FB (2)若AC:AB=2:3,且DC=4,求BD的长度
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![如图,AD是△ABC的角平分线,EF垂直平分线段AD,且与BC的延长线相交于F点(1)求证:FD²=FC×FB (2)若AC:AB=2:3,且DC=4,求BD的长度](/uploads/image/z/6686258-50-8.jpg?t=%E5%A6%82%E5%9B%BE%2CAD%E6%98%AF%E2%96%B3ABC%E7%9A%84%E8%A7%92%E5%B9%B3%E5%88%86%E7%BA%BF%2CEF%E5%9E%82%E7%9B%B4%E5%B9%B3%E5%88%86%E7%BA%BF%E6%AE%B5AD%2C%E4%B8%94%E4%B8%8EBC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E7%9B%B8%E4%BA%A4%E4%BA%8EF%E7%82%B9%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AFD%26%23178%3B%3DFC%C3%97FB++++++++++%282%29%E8%8B%A5AC%EF%BC%9AAB%3D2%3A3%2C%E4%B8%94DC%3D4%2C%E6%B1%82BD%E7%9A%84%E9%95%BF%E5%BA%A6)
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