若f(x+y)=f(x)*f(y),x>0时,有0小于f(x)小于1.证f(0)=1,且x1 证f(x)在R上单调递减.
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![若f(x+y)=f(x)*f(y),x>0时,有0小于f(x)小于1.证f(0)=1,且x1 证f(x)在R上单调递减.](/uploads/image/z/13410678-30-8.jpg?t=%E8%8B%A5f%28x%2By%29%3Df%28x%29%2Af%28y%29%2Cx%3E0%E6%97%B6%2C%E6%9C%890%E5%B0%8F%E4%BA%8Ef%28x%29%E5%B0%8F%E4%BA%8E1.%E8%AF%81f%280%29%3D1%2C%E4%B8%94x1+%E8%AF%81f%28x%29%E5%9C%A8R%E4%B8%8A%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F.)
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