若f(x)是定义在(0,+∞)上的增函数,且对一切x,y>0,满足f(x/y0=f(x)-f(y).求f(1)的值.若f(6)=1,解不等式f(x+3)-f(1/3)<2
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![若f(x)是定义在(0,+∞)上的增函数,且对一切x,y>0,满足f(x/y0=f(x)-f(y).求f(1)的值.若f(6)=1,解不等式f(x+3)-f(1/3)<2](/uploads/image/z/3693783-39-3.jpg?t=%E8%8B%A5f%28x%29%E6%98%AF%E5%AE%9A%E4%B9%89%E5%9C%A8%280%2C%2B%E2%88%9E%29%E4%B8%8A%E7%9A%84%E5%A2%9E%E5%87%BD%E6%95%B0%2C%E4%B8%94%E5%AF%B9%E4%B8%80%E5%88%87x%2Cy%3E0%2C%E6%BB%A1%E8%B6%B3f%28x%2Fy0%3Df%28x%29-f%28y%29.%E6%B1%82f%281%29%E7%9A%84%E5%80%BC.%E8%8B%A5f%286%29%EF%BC%9D1%2C%E8%A7%A3%E4%B8%8D%E7%AD%89%E5%BC%8Ff%28x%EF%BC%8B3%29%EF%BC%8Df%281%EF%BC%8F3%29%EF%BC%9C2)
若f(x)是定义在(0,+∞)上的增函数,且对一切x,y>0,满足f(x/y0=f(x)-f(y).求f(1)的值.若f(6)=1,解不等式f(x+3)-f(1/3)<2
若f(x)是定义在(0,+∞)上的增函数,且对一切x,y>0,满足f(x/y0=f(x)-f(y).求f(1)的值.若f(6)=1,解不等式f(x+3)-f(1/3)<2
若f(x)是定义在(0,+∞)上的增函数,且对一切x,y>0,满足f(x/y0=f(x)-f(y).求f(1)的值.若f(6)=1,解不等式f(x+3)-f(1/3)<2
f(x)是定义在0到正无穷上的增函数,且对一切x,y>0,满足f(x/y)=f(x)-f(y)
令x=y=1
f(1)=f(1)-f(1)=0
f(1)=0
f(6)=1
令x=36,y=6
f(36/6)=f(36)-f(6)
f(6)=f(36)-f(6)
2f(6)=f(36)
f(36)=2
f(x+3)-f(1/3)0,满足f(x/y)=f(x)-f(y)
f[(x+3)/(1/3)]
<1>. 令x=y=1,`.`f(x/y)=f(x)-f(y),.`.f(1)=f(1)-f(1)=0即f(1)=0
<2>. `.`f(x+3)-f(1/3)=f(3x+9),
.`. f(x+3)-f(1/3)<2 <=>f(3x+9)<2
求出2=f(..),利用单调性求解
f(1/1)= f(1)-f(1)=0
f(6)=f(2)-f(1/3)=1 (1)
f(x+3)-f(1/3)<2 (2)
(2)-(1): f(x+3)-f(2)<1 (3)
f[(x+3)/2]
(x+3)/2<6 ;x>0
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