在△ABC中,当sinA+sinB=sinC(cosA+cosB). (1)试判断△ABC的形状; (2)若角C的对边c=1,求该△内切圆半(1)试判断△ABC的形状; (2)若角C的对边c=1,求该△内切圆半径的取值范围
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![在△ABC中,当sinA+sinB=sinC(cosA+cosB). (1)试判断△ABC的形状; (2)若角C的对边c=1,求该△内切圆半(1)试判断△ABC的形状; (2)若角C的对边c=1,求该△内切圆半径的取值范围](/uploads/image/z/6871802-50-2.jpg?t=%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2C%E5%BD%93sinA%2BsinB%3DsinC%28cosA%2BcosB%29.+%281%29%E8%AF%95%E5%88%A4%E6%96%AD%E2%96%B3ABC%E7%9A%84%E5%BD%A2%E7%8A%B6%EF%BC%9B+%EF%BC%882%EF%BC%89%E8%8B%A5%E8%A7%92C%E7%9A%84%E5%AF%B9%E8%BE%B9c%3D1%2C%E6%B1%82%E8%AF%A5%E2%96%B3%E5%86%85%E5%88%87%E5%9C%86%E5%8D%8A%281%29%E8%AF%95%E5%88%A4%E6%96%AD%E2%96%B3ABC%E7%9A%84%E5%BD%A2%E7%8A%B6%EF%BC%9B+%EF%BC%882%EF%BC%89%E8%8B%A5%E8%A7%92C%E7%9A%84%E5%AF%B9%E8%BE%B9c%3D1%2C%E6%B1%82%E8%AF%A5%E2%96%B3%E5%86%85%E5%88%87%E5%9C%86%E5%8D%8A%E5%BE%84%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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