2道函数题````````````````````````````````````````````````````````````````````````````````（1）2ax^2-x-1=0在（0,1）内恰有一解,求实数a的取值范围.（2）已知函数f(x)=3mx-4,若在[-2,0]上存在x0,使f（x0）=0,求实数m的取

Question

2道函数题````````````````````````````````````````````````````````````````````````````````
（1）2ax^2-x-1=0在（0,1）内恰有一解,求实数a的取值范围.
（2）已知函数f(x)=3mx-4,若在[-2,0]上存在x0,使f（x0）=0,求实数m的取值范围.

Answer 1

1.a=0,2ax^2-x-1=0,x=-1,不符合题意
2.a≠0,f(x)=2ax^2-x-1
f(x)在（0,1）内恰有一解
f(0)f(1)>0
-1*(2a-2)>0,a0
(-6m-4)(-4)>0,m>-2/3