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内容概述 等式或不等式中除了所求未知数x(主元)外,还含有其它代表一定数值范围的字母(参数).含有参数的等式与不等式在高中数学竞赛题中经常出现,每当遇到此类问题时,常常会自觉或不自觉地想起对参数进行讨论m求得问题的解决,一般地,由参数引起的讨论有两种情形:要么给出命题的结论,由此去探求参数的取值范围或须满足的条件;要么由参数的取值去探求命题在参数的制约下可能出现的各种结果,从而归纳出原命题的正确结论.但不管是哪种类型,在对参数进行讨论时都必须遵循不重不漏的原则.然而,在同一命题中可能含有多个参数,用这种方法处理不一定简单易行,况且此法也并不是对每一道题都适用的“通法”.进一步来看,主元与参数是相对的,当我们选定“主元”时,其余的(代表一定数值范围的字母)就视为“参数”,
Content Overview In addition to the unknown x (the principal element), the equation or inequality contains other letters (parameters) that represent a certain range of values. Equations and inequalities that contain parameters often appear in high school math contest questions whenever When this type of problem is reached, it is often consciously or unconsciously conceived to solve the problem of the parameters discussed in m. In general, there are two cases of discussion caused by parameters: either give the conclusion of the proposition, and then search for the parameters The range of values or conditions that must be met; either by the value of the parameter to search for the various results that the proposition may have under the constraints of the parameter, so as to sum up the correct conclusion of the original proposition. But regardless of the type, in the parameters When discussing, we must follow the principle of ignorance. However, there may be multiple parameters in the same proposition. Handling in this way is not necessarily simple and easy. Moreover, this method is not applicable to every question. “Facility”“. Further, the pivot element and the parameter are relative. When we select the ”principal element“, the rest (representing a certain range of numerical letters) is considered as ”parameter".