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隐含条件,就是指隐藏在题目的其它条件、结论或数学式子之中,没有直接写出的固有条件,解题时若不注意挖掘隐含条件,常常导致解题失误,甚至有些题使人感到无从下手.因此,挖掘隐含条件并加以充分利用,对提高解题正确率和解题能力是十分有益的.下面结合例题谈谈隐含条件的挖掘方法. 一、从数学概念、公式、法则、性质的某些特殊限制中,挖掘隐含条件 许多数学概念、公式、法则、性质都有其适用的范围或特定的限制条件,这些在数学题目中往往都变成了隐含条件. 例1 已知(m2-1)x2-(m+1)x+8=0是关
Implicit conditions refer to the hidden conditions in the other conditions, conclusions or mathematical formulas, there is no direct writing of the inherent conditions, if you do not pay attention to mining implicit conditions when solving problems, often lead to problem solving errors, and even some questions People feel unable to start. Therefore, digging up hidden conditions and making full use of them is very useful to improve the accuracy of problem solving and the ability to solve problems. The following examples are used to discuss the mining methods of implied conditions. I. From mathematical concepts and formulas In certain special restrictions of law, law, and nature, mining implied conditions many mathematical concepts, formulas, rules, and properties have their applicable scope or specific limitations, and these often become implicit conditions in mathematics. Example 1 It is known that (m2-1)x2-(m+1)x+8=0 is OFF