高一数学函数测试题:定义在R上的函数y=f(x),f(0)不等于0,当x>0时,f(x)>1,且对任意的a,b属于R,有f(a+b)=f(a)f(b).(1)证:f(0)=1;(2)证:对任意的x属于R,恒有f(x)>0;(3)证:f(x)是R上的增函数;(4)若
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![高一数学函数测试题:定义在R上的函数y=f(x),f(0)不等于0,当x>0时,f(x)>1,且对任意的a,b属于R,有f(a+b)=f(a)f(b).(1)证:f(0)=1;(2)证:对任意的x属于R,恒有f(x)>0;(3)证:f(x)是R上的增函数;(4)若](/uploads/image/z/405287-71-7.jpg?t=%E9%AB%98%E4%B8%80%E6%95%B0%E5%AD%A6%E5%87%BD%E6%95%B0%E6%B5%8B%E8%AF%95%E9%A2%98%EF%BC%9A%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%EF%BC%89%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C%E5%BD%93x%3E0%E6%97%B6%2Cf%28x%29%3E1%2C%E4%B8%94%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84a%2Cb%E5%B1%9E%E4%BA%8ER%2C%E6%9C%89f%28a%2Bb%29%3Df%28a%29f%28b%29.%281%29%E8%AF%81%EF%BC%9Af%280%29%3D1%EF%BC%9B%282%29%E8%AF%81%EF%BC%9A%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84x%E5%B1%9E%E4%BA%8ER%2C%E6%81%92%E6%9C%89f%28x%29%3E0%EF%BC%9B%EF%BC%883%EF%BC%89%E8%AF%81%EF%BC%9Af%28x%29%E6%98%AFR%E4%B8%8A%E7%9A%84%E5%A2%9E%E5%87%BD%E6%95%B0%EF%BC%9B%EF%BC%884%EF%BC%89%E8%8B%A5)
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