因式分解的应用1.设a,b,c,d满足a≤b,c≤d,a+b=c+d≠0,且a³+b³=c³+d³.证明:a=c,b=d2.已知x+y+z=3,且(x-1)³+(y-1)³+(z-1)³=0.求证x,y,z中至少有一个等于1.3.设a,b,c,d是四个整数,
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![因式分解的应用1.设a,b,c,d满足a≤b,c≤d,a+b=c+d≠0,且a³+b³=c³+d³.证明:a=c,b=d2.已知x+y+z=3,且(x-1)³+(y-1)³+(z-1)³=0.求证x,y,z中至少有一个等于1.3.设a,b,c,d是四个整数,](/uploads/image/z/2981047-31-7.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E7%9A%84%E5%BA%94%E7%94%A81.%E8%AE%BEa%2Cb%2Cc%2Cd%E6%BB%A1%E8%B6%B3a%E2%89%A4b%2Cc%E2%89%A4d%2Ca%2Bb%3Dc%2Bd%E2%89%A00%2C%E4%B8%94a%26sup3%3B%2Bb%26sup3%3B%3Dc%26sup3%3B%2Bd%26sup3%3B.%E8%AF%81%E6%98%8E%EF%BC%9Aa%3Dc%2Cb%3Dd2.%E5%B7%B2%E7%9F%A5x%2By%2Bz%3D3%2C%E4%B8%94%EF%BC%88x-1%EF%BC%89%26sup3%3B%2B%EF%BC%88y-1%EF%BC%89%26sup3%3B%2B%EF%BC%88z-1%EF%BC%89%26sup3%3B%3D0.%E6%B1%82%E8%AF%81x%2Cy%2Cz%E4%B8%AD%E8%87%B3%E5%B0%91%E6%9C%89%E4%B8%80%E4%B8%AA%E7%AD%89%E4%BA%8E1.3.%E8%AE%BEa%2Cb%2Cc%2Cd%E6%98%AF%E5%9B%9B%E4%B8%AA%E6%95%B4%E6%95%B0%2C)
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