含参数不等式的恒成立的问题,以其覆盖知识点多,综合性强,解法灵活等特点而倍受高考命题者的青睐,并对培养学生思维的灵活性、创造性都有着独到的作用.本文结合实例谈谈这类问题的一般求解策略.一、分离参数法例1(2013年全国高考题)已知函数f(x)=|2x-1|+|2x+a|,g(x)=x+3.(1)略; The constancy problem with parametric inequality is highly favored by college entrance examination proponents due to its characteristics such as more knowledge, more comprehensiveness and more flexible solution, and plays a unique role in cultivating students’ flexibility and creativity in thinking. First, the separation of parameters Law 1 (2013 National Entrance Examination) known function f (x) = | 2x-1 | + | 2x + a |, g (x) = x + 3 (1) slightly