如图,在△ABC中,AB=AC,以AB为直径的⊙O交BC于点M,MN⊥AC于点N.(1)求证:MN是⊙O的切线(2)若角BAC=120°,AB=2,求图中阴影部分的面积.
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![如图,在△ABC中,AB=AC,以AB为直径的⊙O交BC于点M,MN⊥AC于点N.(1)求证:MN是⊙O的切线(2)若角BAC=120°,AB=2,求图中阴影部分的面积.](/uploads/image/z/5202200-56-0.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2CAB%3DAC%2C%E4%BB%A5AB%E4%B8%BA%E7%9B%B4%E5%BE%84%E7%9A%84%E2%8A%99O%E4%BA%A4BC%E4%BA%8E%E7%82%B9M%2CMN%E2%8A%A5AC%E4%BA%8E%E7%82%B9N.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9AMN%E6%98%AF%E2%8A%99O%E7%9A%84%E5%88%87%E7%BA%BF%EF%BC%882%EF%BC%89%E8%8B%A5%E8%A7%92BAC%3D120%C2%B0%2CAB%3D2%2C%E6%B1%82%E5%9B%BE%E4%B8%AD%E9%98%B4%E5%BD%B1%E9%83%A8%E5%88%86%E7%9A%84%E9%9D%A2%E7%A7%AF.)
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