如图,AB是圆O的直径,∠BAC=30°,M是OA上一点,过M作AB的垂线交AC于点N,交BC的延长线于点N,交BC的延长线于点E,直线CF交EN于点F,且∠ECF=∠E1.证明CF是圆O的切线2.设圆O的半径为1,且AC=CE,求MO的长.
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![如图,AB是圆O的直径,∠BAC=30°,M是OA上一点,过M作AB的垂线交AC于点N,交BC的延长线于点N,交BC的延长线于点E,直线CF交EN于点F,且∠ECF=∠E1.证明CF是圆O的切线2.设圆O的半径为1,且AC=CE,求MO的长.](/uploads/image/z/1144125-45-5.jpg?t=%E5%A6%82%E5%9B%BE%2CAB%E6%98%AF%E5%9C%86O%E7%9A%84%E7%9B%B4%E5%BE%84%2C%E2%88%A0BAC%3D30%C2%B0%2CM%E6%98%AFOA%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E8%BF%87M%E4%BD%9CAB%E7%9A%84%E5%9E%82%E7%BA%BF%E4%BA%A4AC%E4%BA%8E%E7%82%B9N%2C%E4%BA%A4BC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%8E%E7%82%B9N%2C%E4%BA%A4BC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%BA%8E%E7%82%B9E%2C%E7%9B%B4%E7%BA%BFCF%E4%BA%A4EN%E4%BA%8E%E7%82%B9F%2C%E4%B8%94%E2%88%A0ECF%3D%E2%88%A0E1.%E8%AF%81%E6%98%8ECF%E6%98%AF%E5%9C%86O%E7%9A%84%E5%88%87%E7%BA%BF2.%E8%AE%BE%E5%9C%86O%E7%9A%84%E5%8D%8A%E5%BE%84%E4%B8%BA1%2C%E4%B8%94AC%3DCE%2C%E6%B1%82MO%E7%9A%84%E9%95%BF.)
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