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奇函數(shù)乘以奇函數(shù)是什么函數(shù)


奇函數(shù)乘以奇函數(shù)是什么函數(shù)


【奇函數(shù)乘以奇函數(shù)是什么函數(shù)】1、奇函數(shù)乘以奇函數(shù)等于偶函數(shù) 。奇函數(shù)乘偶函數(shù)是奇函數(shù),奇函數(shù)加減奇函數(shù)是奇函數(shù),偶函數(shù)加減偶函數(shù)是偶函數(shù),奇函數(shù)乘奇函數(shù)是偶函數(shù),偶函數(shù)乘偶函數(shù)是偶函數(shù) 。偶函數(shù)乘偶函數(shù)是偶函數(shù) 。
2、函數(shù)的奇偶性也就是對任意xEl,若f(-x)=f(x),即在關于y軸的對稱點的函數(shù)值相等,則f(x)稱為偶函數(shù);若f(-x)= - f(x),即對稱點的函數(shù)值正負相反,則f(x)稱為奇函數(shù) 。在平面直角坐標系中,偶函數(shù)的圖象對稱于y軸,奇函數(shù)的圖象對稱于原點 ??蓪У钠妫ㄅ迹┖瘮?shù)的導函數(shù)的奇偶性與原來函數(shù)相反 。定義在對稱區(qū)間(或點集)上的任何函數(shù)f(x)都可以表示成奇函數(shù)φ(x)和偶函數(shù)ψ(x)之和 。

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