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对偶,本是一种修辞方式,即用对称的字句加强语言的效果.而数学中的对偶,是指某种特定的数学对称关系.以对偶的视角来审视某些数学问题,不仅行之有效,而且其解题过程常常给人以一种别样的思维美感.本文拟撷取一些具体的实例,作若干归类,以供同学们学习时参考.一、概念对偶在高中数学中,有不少具有对偶关系的概念.如指数与对数,函数与反函数,正弦函数与余弦函数,等差数列与等比数列,导数与积分,共轭复数等等.在解题中,恰当利用这些对偶
Duality, this is a rhetorical approach, that is, the use of symmetrical words to strengthen the effect of the language, while the duality in mathematics refers to a specific mathematical symmetry relationship to look at some of the math problems duality perspective, not only effective , And its problem-solving process often gives a different kind of thinking aesthetics.This paper intends to capture some specific examples, for a number of classifications, for students to learn when reference.First, the concept of duality In high school mathematics, there are Many concepts with dual relations such as exponents and logarithms, functions and inverse functions, sine and cosine functions, arithmetic and arithmetic sequences, derivatives and integrals, conjugate complex numbers, etc. In the problem-solving, the proper use of These duality