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由于含参数问题的解决对“三基”、“四能”的要求层次相对较高,在考试中这类题往往具有较理想的区分度,容易实现选拔性考试的目的,所以近几年的高考数学试题中含参数的问题一直很活跃(97年解答题中就有两道),在函数、数列、不等式、解析几何等问题中都有参数出现.下面结合高考题对与参数相关的问题的解法加以归纳.供参考.1.分类讨论型当问题中含参数,因而使函数(数列)性质、方程(不等式)的解、图形位置形状等不确定时,就要进行分类讨论.分类讨论的标准有时是依据已知的概念、性质等,有时则需要根据运算、推理的要求灵活确定(如97
Because the solution to the problem with parameters has a relatively high level of requirements for the “three basics” and “four capabilities”, such questions in the examination often have a better degree of differentiation and are easy to achieve the purpose of the selective examination, so in recent years The question of parameters in the college mathematics test questions has been very active (there are two answers in the 97 questions), and there are parameters in the functions, series, inequalities, analytical geometry and other issues. The following questions are related to the parameters of the college entrance examination questions. The solution is summed up for reference.1. Category Discussion type When the problem contains parameters, so that the nature of the function (number), the solution of the equation (inequality), the shape of the position and shape, etc. are uncertain, we must discuss the classification. The standards are sometimes based on known concepts, properties, etc. Sometimes they need to be flexibly determined based on the requirements of operations and reasoning (eg 97