(I)记 F(x)=f(x)g(x) ,讨论函F(x)单调性;
(II)令G(x)=af(x)+g(x)(a∈R),若函数G(x)有两个零点.
(i)求参数a的取值范围;
(ii)设x1,x2是G(x)的两个零点,证明x1+x2+2<0.
设O为坐标原点,点M坐标为(2,1),若点N(x,y)满足不等式组:x-4y+3≤02x+y-12≤0x≥1则使OM→·ON→取得最大值的点N的个数是( )