對(duì)一個(gè)函數(shù)f(x)關(guān)于原點(diǎn)對(duì)稱,有f(x)是奇函數(shù),滿足性質(zhì)f(x)=-f(x),如y=x是關(guān)于原點(diǎn)對(duì)稱的,因?yàn)楫?dāng)x=1時(shí),y1=1;當(dāng)x=-1時(shí),y2=-1,y1=-y2.
對(duì)于兩個(gè)函數(shù)f(x)和g(x)管原點(diǎn)對(duì)稱,有g(shù)(x)=-f(-x),例如設(shè)f(x)=x+1,g(x)=x-1,對(duì)于f(x)上的任意一點(diǎn)（a,b),有a+1=b,且此點(diǎn)關(guān)于原點(diǎn)對(duì)稱的點(diǎn)為（-a,-b),滿足g(x).,即在f(x)上的任意一點(diǎn),都能找到此點(diǎn)的對(duì)稱點(diǎn)在g(x)上.