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一个数学命题,可以从不同的角度去理解它、认识它,也可以依据需要用不同的形式叙述它。教学中如恰当地选择某些命题进行改述,找出其不同的表达形式,并进而指出它们的一些应用,必然会加深学生对命题的认识,达到扩大视野,开拓能力的目的,同时还可以培养学生正确的读书方法和习惯。本文就余弦定理进行改述,然后指出这些改述形式的一些应用。余弦定理 a~2=b~2+c~2-2bccosA。(1)
A mathematical proposition can understand it from different perspectives, recognize it, and describe it in different forms as needed. In teaching, if certain propositions are properly selected to be rephrased, different forms of expression are found, and then some of their applications are pointed out, it will inevitably deepen the students’ understanding of the propositions, achieve the purpose of expanding their horizons and exploiting their abilities, and at the same time Cultivate students’ correct reading methods and habits. This paper revises the cosine theorem and then points out some applications of these paradigms. The cosine theorem a~2=b~2+c~2-2bccosA. (1)