已知定义在R上的函数f(x)对任意的m,n都满足f(m+n)=f(m)f(n)+f(m)+f(n),当x>0时,f(x)>0且f(1)=1问:(1):令m=1,n=0可求出f(0)=0类似的求出f(-1)=什么?f(2)=什么?(2):令m=x,n=-x,f(-x)+1=1/(f(x)+1)求出f(x)的
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![已知定义在R上的函数f(x)对任意的m,n都满足f(m+n)=f(m)f(n)+f(m)+f(n),当x>0时,f(x)>0且f(1)=1问:(1):令m=1,n=0可求出f(0)=0类似的求出f(-1)=什么?f(2)=什么?(2):令m=x,n=-x,f(-x)+1=1/(f(x)+1)求出f(x)的](/uploads/image/z/2579379-51-9.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9A%E4%B9%89%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%87%BD%E6%95%B0f%28x%29%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84m%2Cn%E9%83%BD%E6%BB%A1%E8%B6%B3f%28m%2Bn%29%3Df%28m%29f%28n%29%2Bf%28m%29%2Bf%28n%29%2C%E5%BD%93x%EF%BC%9E0%E6%97%B6%2Cf%28x%29%EF%BC%9E0%E4%B8%94f%281%29%3D1%E9%97%AE%EF%BC%9A%EF%BC%881%EF%BC%89%EF%BC%9A%E4%BB%A4m%3D1%2Cn%3D0%E5%8F%AF%E6%B1%82%E5%87%BAf%280%29%3D0%E7%B1%BB%E4%BC%BC%E7%9A%84%E6%B1%82%E5%87%BAf%28-1%29%3D%E4%BB%80%E4%B9%88%3Ff%282%29%3D%E4%BB%80%E4%B9%88%3F%EF%BC%882%EF%BC%89%EF%BC%9A%E4%BB%A4m%3Dx%2Cn%3D-x%2Cf%28-x%29%2B1%3D1%2F%28f%28x%29%2B1%29%E6%B1%82%E5%87%BAf%EF%BC%88x%EF%BC%89%E7%9A%84)
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