已知,如图,在△ABC中,D是BC的中点,且AD=AC,DE⊥BC交AB于点E,EC与AD相交于点f已知,如图,在△ABC中,D是BC的中点,且AD=AC,DE⊥BC交AB于点E,EC与AD相交于点F.(1)求证:△ABC∽△FCD;(2)若S△FCD=5,BC=10,求DE
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![已知,如图,在△ABC中,D是BC的中点,且AD=AC,DE⊥BC交AB于点E,EC与AD相交于点f已知,如图,在△ABC中,D是BC的中点,且AD=AC,DE⊥BC交AB于点E,EC与AD相交于点F.(1)求证:△ABC∽△FCD;(2)若S△FCD=5,BC=10,求DE](/uploads/image/z/2120950-46-0.jpg?t=%E5%B7%B2%E7%9F%A5%2C%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2CD%E6%98%AFBC%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E4%B8%94AD%3DAC%2CDE%E2%8A%A5BC%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%E5%B7%B2%E7%9F%A5%2C%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2CD%E6%98%AFBC%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E4%B8%94AD%3DAC%2CDE%E2%8A%A5BC%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.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%3A%E2%96%B3ABC%E2%88%BD%E2%96%B3FCD%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5S%E2%96%B3FCD%3D5%2CBC%3D10%2C%E6%B1%82DE)
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