在⊙O中,AB为直径,点C为圆上一点,将劣弧沿弦AC翻折交AB于点D,连结CD.(1)如图1,若点D与圆心O重合,AC=2,求⊙O的半径r;(2)如图2,若点D与圆心O不重合,∠BAC=25°,请直接写出∠DCA的度数.
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![在⊙O中,AB为直径,点C为圆上一点,将劣弧沿弦AC翻折交AB于点D,连结CD.(1)如图1,若点D与圆心O重合,AC=2,求⊙O的半径r;(2)如图2,若点D与圆心O不重合,∠BAC=25°,请直接写出∠DCA的度数.](/uploads/image/z/8347719-39-9.jpg?t=%E5%9C%A8%E2%8A%99O%E4%B8%AD%2CAB%E4%B8%BA%E7%9B%B4%E5%BE%84%2C%E7%82%B9C%E4%B8%BA%E5%9C%86%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E5%B0%86%E5%8A%A3%E5%BC%A7%E6%B2%BF%E5%BC%A6AC%E7%BF%BB%E6%8A%98%E4%BA%A4AB%E4%BA%8E%E7%82%B9D%2C%E8%BF%9E%E7%BB%93CD%EF%BC%8E%EF%BC%881%EF%BC%89%E5%A6%82%E5%9B%BE1%2C%E8%8B%A5%E7%82%B9D%E4%B8%8E%E5%9C%86%E5%BF%83O%E9%87%8D%E5%90%88%2CAC%3D2%2C%E6%B1%82%E2%8A%99O%E7%9A%84%E5%8D%8A%E5%BE%84r%EF%BC%9B%EF%BC%882%EF%BC%89%E5%A6%82%E5%9B%BE2%2C%E8%8B%A5%E7%82%B9D%E4%B8%8E%E5%9C%86%E5%BF%83O%E4%B8%8D%E9%87%8D%E5%90%88%2C%E2%88%A0BAC%3D25%C2%B0%2C%E8%AF%B7%E7%9B%B4%E6%8E%A5%E5%86%99%E5%87%BA%E2%88%A0DCA%E7%9A%84%E5%BA%A6%E6%95%B0%EF%BC%8E)
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