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含参数的不等式,由于参数的不确定性,导致解答过程的复杂性.其主要解答方法是分类讨论法.在不等式的转化变形、写解集时,因参数的取值范围的不同而导致结果不同时,就需要分类讨论.确定讨论的标准,做到不重复、不遗漏.即把参数所取值的集合I,分成若干个非空真子集A1、A2…An(n≥2),使满足Ai∩Aj=φ(i,j∈N*,i≠j),A1∪A2∪…∪An=I.分类讨论后,解集的表达式是确定的.
The inequality with parameters, due to the uncertainty of the parameters, leads to the complexity of the solution process. The main solution method is the classification discussion method. When the inequality transforms and writes the solution set, the results are different due to the range of values of the parameters. When it is not the same, it needs to be classified and discussed. The criteria for discussion are determined so that they are not repeated and not missed. That is, the set I of the parameters is divided into several non-empty proper subsets A1, A2... An (n ≥ 2), so that Satisfy Ai∩Aj=φ(i,j∈N*,i≠j),A1∪A2∪...∪An=I. After the classification is discussed, the solution set expression is definite.