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函数的定义域是构成函数的两大要素之一,函数的定义域(或变量的允许值范围)似乎是非常简单的,然而在解决问题中不加以注意,常常会使人误入歧途.在解函数题中强调定义域对解题结论的作用与影响,对提高学生的数学思维品质是十分有益的.思维品质是指个体思维活动特殊性的外部表现.它包括思维的严密性、思维的灵活性、思维的深刻性、思维的批判性和思维的敏捷性等品质.
The domain of a function is one of the two major elements that make up a function. The domain of a function (or range of allowed values for a variable) seems to be very simple. However, paying attention to the problem is often misleading. It is very useful to improve the students’ mathematical thinking quality by emphasizing that the domain of definition solves the problem-solving conclusion.The quality of thinking refers to the external manifestation of the particularity of individual thinking activities, which includes the rigor of thinking, the thinking Flexibility, profound thinking, critical thinking, and agility in thinking.