已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+…(f(2008)/f(2007的已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+……(f(2008)/f(2007))的值
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![已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+…(f(2008)/f(2007的已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+……(f(2008)/f(2007))的值](/uploads/image/z/5242654-46-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%E6%BB%A1%E8%B6%B3f%28a%2Bb%29%3Df%28a%29%C3%97f%28b%29%2C%28a%2Cb%E2%88%88R%29%2C%E4%B8%94f%281%29%3D3%2C%E6%B1%82%28f%282%29%2Ff%281%29%29+%2B%28f%283%29%2Ff%282%29%29%2B%E2%80%A6%28f%282008%29%2Ff%282007%E7%9A%84%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%E6%BB%A1%E8%B6%B3f%28a%2Bb%29%3Df%28a%29%C3%97f%28b%29%2C%28a%2Cb%E2%88%88R%29%2C%E4%B8%94f%281%29%3D3%2C%E6%B1%82%28f%282%29%2Ff%281%29%29+%2B%28f%283%29%2Ff%282%29%29%2B%E2%80%A6%E2%80%A6%EF%BC%88f%EF%BC%882008%EF%BC%89%2Ff%EF%BC%882007%EF%BC%89%EF%BC%89%E7%9A%84%E5%80%BC)
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已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+…(f(2008)/f(2007的已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+……(f(2008)/f(2007))的值
已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+…(f(2008)/f(2007的
已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+……(f(2008)/f(2007))的值
已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+…(f(2008)/f(2007的已知函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R),且f(1)=3,求(f(2)/f(1)) +(f(3)/f(2))+……(f(2008)/f(2007))的值
因为{函数f(x)满足f(a+b)=f(a)×f(b),(a,b∈R)},因为2=1+1.于是f(2)=f(1+1)=f(1)Xf(1)=3^2.依次可知f(3)=3^3.所以f(2)/f(1)=3^2/3=3,f(3)/f(2)=3^3/3^2=3.本题共有2008-1个3.所以其值为2007*3=6021
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