急:如图,已知在三角形ABC中,D是BC中点,AD=AC,DE垂直于BC交AB于点E,EC与AD相交于点F(1)求证:三角形ABC相似于三角形FCD;(2)若S三角形FCD=5,BC=10,求DE的长.
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![急:如图,已知在三角形ABC中,D是BC中点,AD=AC,DE垂直于BC交AB于点E,EC与AD相交于点F(1)求证:三角形ABC相似于三角形FCD;(2)若S三角形FCD=5,BC=10,求DE的长.](/uploads/image/z/7004667-3-7.jpg?t=%E6%80%A5%EF%BC%9A%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E5%9C%A8%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E4%B8%AD%2CD%E6%98%AFBC%E4%B8%AD%E7%82%B9%2CAD%3DAC%2CDE%E5%9E%82%E7%9B%B4%E4%BA%8EBC%E4%BA%A4AB%E4%BA%8E%E7%82%B9E%2CEC%E4%B8%8EAD%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9F%281%29%E6%B1%82%E8%AF%81%EF%BC%9A%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9B%B8%E4%BC%BC%E4%BA%8E%E4%B8%89%E8%A7%92%E5%BD%A2FCD%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5S%E4%B8%89%E8%A7%92%E5%BD%A2FCD%3D5%2CBC%3D10%2C%E6%B1%82DE%E7%9A%84%E9%95%BF.)
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