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/x)0,满足f(x/y)=f(x)-f(y)令x=y=1f(1)=f(1)-f(1)=0f(1)=0f(6)=1令x=36,y=6f(36/6)=f(36)-f(6)f(6)=f(36)-f(6)2f(6)=f(36
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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/x)0,满足f(x/y)=f(x)-f(y)令x=y=1f(1)=f(1)-f(1)=0f(1)=0f(6)=1令x=36,y=6f(36/6)=f(36)-f(6)f(6)=f(36)-f(6)2f(6)=f(36](/uploads/image/z/4107166-70-6.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.%EF%BC%9A%E8%8B%A5f%286%29%3D1%2C%E8%A7%A3%E4%B8%8D%E7%AD%89%E5%BC%8Ff%28x%2B3%29-f%281%2Fx%290%2C%E6%BB%A1%E8%B6%B3f%28x%2Fy%29%3Df%28x%29-f%28y%29%E4%BB%A4x%3Dy%3D1f%281%29%3Df%281%29-f%281%29%3D0f%281%29%3D0f%286%29%3D1%E4%BB%A4x%3D36%2Cy%3D6f%2836%2F6%29%3Df%2836%29-f%286%29f%286%29%3Df%2836%29-f%286%292f%286%29%3Df%2836)
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/x)0,满足f(x/y)=f(x)-f(y)令x=y=1f(1)=f(1)-f(1)=0f(1)=0f(6)=1令x=36,y=6f(36/6)=f(36)-f(6)f(6)=f(36)-f(6)2f(6)=f(36
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/x)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)]
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/x)0,满足f(x/y)=f(x)-f(y)令x=y=1f(1)=f(1)-f(1)=0f(1)=0f(6)=1令x=36,y=6f(36/6)=f(36)-f(6)f(6)=f(36)-f(6)2f(6)=f(36
为什么f(x+3)是f(x)而f(1/3)是f(y)?
因为对一切x,y>0,满足f(x/y)=f(x)-f(y),
f(x/y)=f(x)-f(y)是一个等式,两边是等价的,
因此只要能写成f(x)-f(y)形式且满足x,y>0的式子,均与f(x/y)相等.
题目是:若f(6)=1,解不等式f(x+3)-f(1/x)f(36)
即解
x^2+3x-1/36
xy=55且5x=55则x=?