- 求函数定义域设0<=a<1,函数f(x)=(a
- 设0< =a< 1,f(x)=(a-1)x^2-6ax+a+1横为正,求f(x)定义域
- 设0≤a< 1,函数f(x)=(a-1)x^2-6ax+a+1横为正,求f(x)定义域
(a-1)x^2-6ax+a+1=a(x^2-6x+1)-(x^2-1)
把a(x^2-6x+1)-(x^2-1)看成关于a一次函数g(a)=a(x^2-6x+1)-(x^2-1)
g(0)=-(x^2-1)>0且g(1)=-6x+2≥0
即:-1<x<1且x≤1/3
-1<x≤1/3,f(x)定义域:(-1,1/3]