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运用数学处理物理问题,这是考试大纲所提出的能力要求,也是对学生运用数学知识巧妙解决物理问题、施展自身才华的广阔空间,区分学生能力强弱、拉大差距、选拔人才的一种体现,培养、训练学生物理思维和反映、开发学生的学习潜能的重要手段.下面以数学中的函数 y=sin~2αcosα,α∈[0,π/2]的最值在物理学中的应用来说明于此.首先根据数学知识求出此函数的最值,证明如下:
The use of mathematics to deal with physics problems is a competencies requirement put forward in the exam outline. It is also a broad space for students to use mathematics knowledge to cleverly solve physical problems and display their own talents. It distinguishes students’ ability from strength to weakness, widening gaps, and selecting talents. , Cultivating and training students’ physics thinking and reflecting and developing students’ learning potential. The following uses the function of the function y=sin~2αcosα,α∈[0,π/2] in mathematics to apply in physics. Explained here. First of all, according to mathematical knowledge to find the value of this function, the proof is as follows: