设f(x)是定义在[0,1]上的函数满足(1)f(0)=0,f(1)=1(2)对所有x1,x2在[0,1],都有f((x1+x2)/2)=(1-a)f(x1)+af(x2).求:实数a,f(1/7)的值
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![设f(x)是定义在[0,1]上的函数满足(1)f(0)=0,f(1)=1(2)对所有x1,x2在[0,1],都有f((x1+x2)/2)=(1-a)f(x1)+af(x2).求:实数a,f(1/7)的值](/uploads/image/z/1980807-15-7.jpg?t=%E8%AE%BEf%28x%29%E6%98%AF%E5%AE%9A%E4%B9%89%E5%9C%A8%5B0%2C1%5D%E4%B8%8A%E7%9A%84%E5%87%BD%E6%95%B0%E6%BB%A1%E8%B6%B3%EF%BC%881%EF%BC%89f%280%29%3D0%2Cf%281%29%3D1%282%29%E5%AF%B9%E6%89%80%E6%9C%89x1%2Cx2%E5%9C%A8%5B0%2C1%5D%2C%E9%83%BD%E6%9C%89f%28%28x1%2Bx2%29%2F2%29%3D%281-a%29f%28x1%29%2Baf%28x2%29.%E6%B1%82%EF%BC%9A%E5%AE%9E%E6%95%B0a%2Cf%281%2F7%29%E7%9A%84%E5%80%BC)
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