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思维品质是指个体思维活动特殊性的外部表现。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。一、函数关系式与定义域函数关系式包括定义域和对应法则,所以在求函数的关系式时必须要考虑所求函数关系式的定义域,否则所求函数关系式可能是错误的。如:例1:某单位计划建筑一矩形围墙,现有材料可筑墙的总长度为100m,求矩形的面积S与矩形长x的函数关系式?
Thinking quality refers to the individual behavior of the specific external thinking. The domain of a function is one of the two major elements that make up a function. The scope of a function (or range of allowed values for a variable) seems to be very simple. However, paying no attention to solving a problem often leads astray. It is very beneficial to improve students’ thinking quality of mathematics by emphasizing the role and influence of domain definition in solving function problems. First, the functional relations and domain definitions The functional relations include the domain and the corresponding law, so in the function of the relationship must be considered when the function of the definition of the domain, otherwise the function may be wrong relationship. Such as: Example 1: A unit plan to build a rectangular wall, the total length of the existing materials wall can be built 100m, the rectangular area S and rectangular length x as a function of?