1、如图,已知△ABC,以BC为直径,O为圆心的半圆交AC于点F,点E为 CF^的中点,连接BE交AC于点M,AD为△ABC的角平分线,且AD⊥BE,垂足为点H.(1)求证:AB是半圆O的切线;(2)若AB=3,BC=4,求BE的长.
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![1、如图,已知△ABC,以BC为直径,O为圆心的半圆交AC于点F,点E为 CF^的中点,连接BE交AC于点M,AD为△ABC的角平分线,且AD⊥BE,垂足为点H.(1)求证:AB是半圆O的切线;(2)若AB=3,BC=4,求BE的长.](/uploads/image/z/3847231-55-1.jpg?t=1%E3%80%81%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5%E2%96%B3ABC%2C%E4%BB%A5BC%E4%B8%BA%E7%9B%B4%E5%BE%84%2CO%E4%B8%BA%E5%9C%86%E5%BF%83%E7%9A%84%E5%8D%8A%E5%9C%86%E4%BA%A4AC%E4%BA%8E%E7%82%B9F%2C%E7%82%B9E%E4%B8%BA+CF%5E%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E8%BF%9E%E6%8E%A5BE%E4%BA%A4AC%E4%BA%8E%E7%82%B9M%2CAD%E4%B8%BA%E2%96%B3ABC%E7%9A%84%E8%A7%92%E5%B9%B3%E5%88%86%E7%BA%BF%2C%E4%B8%94AD%E2%8A%A5BE%2C%E5%9E%82%E8%B6%B3%E4%B8%BA%E7%82%B9H%EF%BC%8E%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AAB%E6%98%AF%E5%8D%8A%E5%9C%86O%E7%9A%84%E5%88%87%E7%BA%BF%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5AB%3D3%2CBC%3D4%2C%E6%B1%82BE%E7%9A%84%E9%95%BF%EF%BC%8E)
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