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不等式是高中数学中一个很重要的知识点,也是高考数学的一个考点。将函数的思想应用到不等式的证明中,就是利用函数的性质,如单调性、周期性、最值等来证明不等式,使不等式的证明变得灵活多变,综合性、技巧性都比较强。将函数的思想和方法应用到不等式的证明中,受到了诸多考生和数学竞赛者的青睐。下面通过例题说明函数思想在不等式证明中的重要作用。1单调性在不等式证明中的应用设函数f的定义域为D,若任给x_1,x_2∈D且
Inequality is a very important point in high school mathematics knowledge, but also a test of mathematics college entrance examination. Applying the idea of function to the proof of inequality is to prove the inequality by using the properties of the function, such as monotonicity, periodicity, maximum value, etc., so that the proof of inequality becomes flexible, comprehensive and skillful. The function of the ideas and methods applied to the proof of inequality, by many candidates and math contestants of all ages. The following examples illustrate the important role of functional thinking in the proof of inequality. A monotonicity in the proof of inequality Let f be defined as the domain of D, if any given x_1, x_2∈D And