如图,在Rt三角形ABC中,斜边BC=12,角C=30,D为BC的中点,三角形ABD的外接圆圆O与AC交于F点,过A作圆O的切线AE交DF的延长线于E点(1)求证:AE垂直于DE(2)计算:AC*AF的值
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![如图,在Rt三角形ABC中,斜边BC=12,角C=30,D为BC的中点,三角形ABD的外接圆圆O与AC交于F点,过A作圆O的切线AE交DF的延长线于E点(1)求证:AE垂直于DE(2)计算:AC*AF的值](/uploads/image/z/2391545-65-5.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8Rt%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E4%B8%AD%2C%E6%96%9C%E8%BE%B9BC%3D12%2C%E8%A7%92C%3D30%2CD%E4%B8%BABC%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E4%B8%89%E8%A7%92%E5%BD%A2ABD%E7%9A%84%E5%A4%96%E6%8E%A5%E5%9C%86%E5%9C%86O%E4%B8%8EAC%E4%BA%A4%E4%BA%8EF%E7%82%B9%2C%E8%BF%87A%E4%BD%9C%E5%9C%86O%E7%9A%84%E5%88%87%E7%BA%BFAE%E4%BA%A4DF%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%8EE%E7%82%B9%281%29%E6%B1%82%E8%AF%81%3AAE%E5%9E%82%E7%9B%B4%E4%BA%8EDE%282%29%E8%AE%A1%E7%AE%97%3AAC%2AAF%E7%9A%84%E5%80%BC)
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