定义在非零实数集上的函数f(x)满足f(xy)=f(x)+f(y)且f(x)是区间(0,+无穷)上的递增函数.求:1,f(1),f(-1)的值.2,求证:f(-x)=f(x)3,解不等式f(2)+f(x-1/2)小于等于零.
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![定义在非零实数集上的函数f(x)满足f(xy)=f(x)+f(y)且f(x)是区间(0,+无穷)上的递增函数.求:1,f(1),f(-1)的值.2,求证:f(-x)=f(x)3,解不等式f(2)+f(x-1/2)小于等于零.](/uploads/image/z/5083651-19-1.jpg?t=%E5%AE%9A%E4%B9%89%E5%9C%A8%E9%9D%9E%E9%9B%B6%E5%AE%9E%E6%95%B0%E9%9B%86%E4%B8%8A%E7%9A%84%E5%87%BD%E6%95%B0f%28x%29%E6%BB%A1%E8%B6%B3f%28xy%29%3Df%28x%29%2Bf%28y%29%E4%B8%94f%EF%BC%88x%EF%BC%89%E6%98%AF%E5%8C%BA%E9%97%B4%EF%BC%880%2C%2B%E6%97%A0%E7%A9%B7%EF%BC%89%E4%B8%8A%E7%9A%84%E9%80%92%E5%A2%9E%E5%87%BD%E6%95%B0.%E6%B1%82%3A1%2Cf%EF%BC%881%EF%BC%89%2Cf%EF%BC%88-1%EF%BC%89%E7%9A%84%E5%80%BC.2%2C%E6%B1%82%E8%AF%81%EF%BC%9Af%EF%BC%88-x%EF%BC%89%3Df%EF%BC%88x%EF%BC%893%2C%E8%A7%A3%E4%B8%8D%E7%AD%89%E5%BC%8Ff%EF%BC%882%EF%BC%89%2Bf%EF%BC%88x-1%2F2%EF%BC%89%E5%B0%8F%E4%BA%8E%E7%AD%89%E4%BA%8E%E9%9B%B6.)
定义在非零实数集上的函数f(x)满足f(xy)=f(x)+f(y)且f(x)是区间(0,+无穷)上的递增函数.求:1,f(1),f(-1)的值.2,求证:f(-x)=f(x)3,解不等式f(2)+f(x-1/2)小于等于零.
定义在非零实数集上的函数f(x)满足f(xy)=f(x)+f(y)
且f(x)是区间(0,+无穷)上的递增函数.
求:1,f(1),f(-1)的值.
2,求证:f(-x)=f(x)
3,解不等式f(2)+f(x-1/2)小于等于零.
定义在非零实数集上的函数f(x)满足f(xy)=f(x)+f(y)且f(x)是区间(0,+无穷)上的递增函数.求:1,f(1),f(-1)的值.2,求证:f(-x)=f(x)3,解不等式f(2)+f(x-1/2)小于等于零.
1.x=y=1 f(1)=0 x=-1,y=-1 f(-1)=0
2.y=-1 f(-x)=f(x)+f(-1) f(-x)=f(x)
3.f(2)+f(x-1/2)=f(2x-1)
1)x=1,y=1 f(1)=f(1)+f(1) f(1)=0
x=-1,y=-1 f(1)=f(-1)+f(-1)=0 f(-1)=0
2) y=-1 f(-x)=f(x)+f(-1) f(-x)=f(x)
3.f(2)+f(x-1/2)=f(2x-1) <=0递增 -1<=2x-1<=1 0<=x<=1