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一次函数的图象是一条倾斜直线,用它来处理某些物理量之间的关系比较方便,特别是在处理实验数据时用它还可减少偶然误差.在设计物理问题时可把两个物理量的关系设计成一次函数关系,并以图象形式展现出来,可以考查学生的分析综合能力和实验能力.解答这类问题可以根据物理概念和规律找出两个物理量之间的关系,再利用数学变形使其变成“y=kx+b”形式,结合图象读出斜率、截距等,就可以使问题得到很好解决.此外,在推导关系式的过程中,还能培养学生的推理能力.现举几例,供同行参考.
The image of the first-order function is a slanting line. It is more convenient to use it to deal with the relationship between certain physical quantities, especially when it is used to process experimental data. It can also reduce accidental errors. When designing physical problems, it can take two physical quantities. The relationship is designed as a functional relationship, and it is displayed in the form of an image. It can be used to examine students’ analytical abilities and experimental abilities. To solve such problems, the relationship between two physical quantities can be found based on physical concepts and laws, and mathematical distortions can be used. To make it into the form of “y=kx+b”, combined with image readout slope, intercept, etc., the problem can be solved very well. In addition, in the process of deriving the relationship, students can also be cultivated. Reasoning ability. Now give a few examples for reference by peers.