如图,在Rt△ABC中,∠ACB=90°,∠BAC=2∠ABC,过C作CD∥AB交∠BAC的平分线AD于D,过C作CD∥AB交∠BAC的平分线AD于D,过D作DH⊥AB于D,且交BC于F,连接BD(1)求证;AC=CD(2)若AD交BC于E,求证△ACE≌△BDE(3)若O为AB中点,
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![如图,在Rt△ABC中,∠ACB=90°,∠BAC=2∠ABC,过C作CD∥AB交∠BAC的平分线AD于D,过C作CD∥AB交∠BAC的平分线AD于D,过D作DH⊥AB于D,且交BC于F,连接BD(1)求证;AC=CD(2)若AD交BC于E,求证△ACE≌△BDE(3)若O为AB中点,](/uploads/image/z/14781696-24-6.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8Rt%E2%96%B3ABC%E4%B8%AD%2C%E2%88%A0ACB%3D90%C2%B0%2C%E2%88%A0BAC%3D2%E2%88%A0ABC%2C%E8%BF%87C%E4%BD%9CCD%E2%88%A5AB%E4%BA%A4%E2%88%A0BAC%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BFAD%E4%BA%8ED%2C%E8%BF%87C%E4%BD%9CCD%E2%88%A5AB%E4%BA%A4%E2%88%A0BAC%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BFAD%E4%BA%8ED%2C%E8%BF%87D%E4%BD%9CDH%E2%8A%A5AB%E4%BA%8ED%2C%E4%B8%94%E4%BA%A4BC%E4%BA%8EF%2C%E8%BF%9E%E6%8E%A5BD%281%29%E6%B1%82%E8%AF%81%EF%BC%9BAC%3DCD%282%29%E8%8B%A5AD%E4%BA%A4BC%E4%BA%8EE%2C%E6%B1%82%E8%AF%81%E2%96%B3ACE%E2%89%8C%E2%96%B3BDE%283%29%E8%8B%A5O%E4%B8%BAAB%E4%B8%AD%E7%82%B9%2C)
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