已知锐角三角形的三个内角A,B,C,满足A>B>C且x=A-B,y=B-C,z=90-A.(1)若ax+by+cz=90,a,b,c都为正整数,求a,b,c的值(2)若x,y,z的最小值为α,求α的最大值,并写出此时A,B,C的度数.
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![已知锐角三角形的三个内角A,B,C,满足A>B>C且x=A-B,y=B-C,z=90-A.(1)若ax+by+cz=90,a,b,c都为正整数,求a,b,c的值(2)若x,y,z的最小值为α,求α的最大值,并写出此时A,B,C的度数.](/uploads/image/z/6913210-58-0.jpg?t=%E5%B7%B2%E7%9F%A5%E9%94%90%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%E7%9A%84%E4%B8%89%E4%B8%AA%E5%86%85%E8%A7%92A%2CB%2CC%2C%E6%BB%A1%E8%B6%B3A%3EB%3EC%E4%B8%94x%3DA-B%2Cy%3DB-C%2Cz%3D90-A.%281%29%E8%8B%A5ax%2Bby%2Bcz%3D90%2Ca%2Cb%2Cc%E9%83%BD%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%2C%E6%B1%82a%2Cb%2Cc%E7%9A%84%E5%80%BC%EF%BC%882%EF%BC%89%E8%8B%A5x%2Cy%2Cz%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BA%CE%B1%2C%E6%B1%82%CE%B1%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%2C%E5%B9%B6%E5%86%99%E5%87%BA%E6%AD%A4%E6%97%B6A%2CB%2CC%E7%9A%84%E5%BA%A6%E6%95%B0.)
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