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高斯函数定义简洁、性质独特、应用广泛,因此,与之有关的高考试题频频出现。2016年全国课标Ⅱ卷中,高斯函数又开始进军解答题。本文通过实例说明高斯函数的应用,供大家参考。一、高斯函数的定义与性质1.定义:对任意x∈R,用[x]表示不超过x的最大整数,则f(x)=[x]称为高斯函数,又称取整函数;与它相伴随的是小数部分函数g(x)={x}=x-[x]。显然,[x]为x的整数部分,{x}为x的小数部分,且{x}∈[0,1)。
Gaussian function definition is simple, unique in nature, widely used, therefore, the related entrance exam questions appear frequently. 2016 National Curriculum Standard Volume II, Gaussian function began to enter the answer questions. This article illustrates the application of Gaussian function for your reference. First, the definition and properties of Gaussian function 1. Definition: For any x∈R, [x] represents the largest integer does not exceed x, then f (x) = [x] called Gaussian function, also known as rounding function; Accompanying it is the fractional part function g (x) = {x} = x- [x]. Obviously [x] is the integer part of x, {x} is the fractional part of x, and {x} ∈ [0,1).