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在高考与各种模拟考试中,经常出现与方程a(f(x))2+bf(x)+c=0有关的试题,这类试题大多以函数的图象为背景,涉及方程根的个数、函数零点的个数、参数的取值范围等问题的解决为目标,突出数形结合方法和优化求解,考查数形结合、函数与方程、特殊与一般等主要思想方法,考查运算求解、逻辑思维、探究创新以及分析问题解决问题的能力.这类试题综合性较强,对考生的计算能力要求较高,选择恰当的解法可以大大简化
In the college entrance examination and a variety of simulation examinations, often appear with the equation a (f (x)) 2 + bf (x) + c = 0 questions, most of these questions in the function of the image as the background, involving the root of the equation The number of the function zero, the range of the parameter value and so on to solve the problem as the goal, highlighting the number of combination methods and optimization solution, examining the number and shape combination, function and equation, special and general, the main ideas and methods, , Logical thinking, exploration of innovation and analysis of the problem-solving skills .This type of test is comprehensive, requires a high computational power of candidates, the choice of appropriate solution can be greatly simplified