奇函數(shù)乘奇函數(shù)等于什么
2020-10-19 11:54:30文/鐘詩(shī)賀奇函數(shù)與奇函數(shù)的乘積是偶函數(shù)。如果對(duì)于函數(shù)f（x）的定義域內(nèi)任意一個(gè)x，都有f（-x）= - f（x），那么函數(shù)f（x）就叫做奇函數(shù)。在奇函數(shù)f（x）中，f（x）和f（-x）的符號(hào)相反且絕對(duì)值相等，即f(-x)=-f(x)，反之，滿(mǎn)足f(-x)=-f(x)的函數(shù)y=f（x）一定是奇函數(shù)。
奇函數(shù)乘以偶函數(shù)等于奇函數(shù)。此外，偶函數(shù)乘以偶函數(shù)還等于偶函數(shù)，奇函數(shù)乘以奇函數(shù)等于偶函數(shù)。函數(shù)的奇偶性也就是指關(guān)于原點(diǎn)的對(duì)稱(chēng)點(diǎn)的函數(shù)值相等，這是屬于函數(shù)的基本性質(zhì)，也就是它們的圖象有某種對(duì)稱(chēng)性的一元函數(shù)。
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