定义在R上的函数y=f(x),f(0)≠0,当x>0时,f(x)>1且对任意的a,b∈R有f(a+b)=f(a)*f(b)(1)求f(0)(2)证明对任意的x∈R恒有f(x)>0(3)判断函数y=f(x)的单调性
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![定义在R上的函数y=f(x),f(0)≠0,当x>0时,f(x)>1且对任意的a,b∈R有f(a+b)=f(a)*f(b)(1)求f(0)(2)证明对任意的x∈R恒有f(x)>0(3)判断函数y=f(x)的单调性](/uploads/image/z/11120229-45-9.jpg?t=%E5%AE%9A%E4%B9%89%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%87%BD%E6%95%B0y%3Df%28x%29%2Cf%280%29%E2%89%A00%2C%E5%BD%93x%3E0%E6%97%B6%2Cf%28x%29%3E1%E4%B8%94%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84a%2Cb%E2%88%88R%E6%9C%89f%28a%2Bb%29%3Df%28a%29%2Af%28b%29%EF%BC%881%EF%BC%89%E6%B1%82f%280%29%EF%BC%882%EF%BC%89%E8%AF%81%E6%98%8E%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84x%E2%88%88R%E6%81%92%E6%9C%89f%28x%29%3E0%EF%BC%883%EF%BC%89%E5%88%A4%E6%96%AD%E5%87%BD%E6%95%B0y%3Df%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E6%80%A7)
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