1. 首先它講的是函數(shù)本身關(guān)于某條直線對(duì)稱,舉個(gè)例子f(x)=x^2這個(gè)函數(shù)的圖像就關(guān)于直線x=0對(duì)稱,它為什么關(guān)于直線x=0對(duì)稱是因?yàn)槿稳蓚€(gè)關(guān)于x=0對(duì)稱的兩個(gè)橫坐標(biāo)比如x0和-x0,對(duì)應(yīng)的縱坐標(biāo)f(x0)=f(-x0).同理可得：x-1與1-x是關(guān)于x=0對(duì)稱的,而 f(x-1)=f(1-x),所以函數(shù)f(x)的圖像關(guān)于直線x=0對(duì)稱
2.首先它講的是兩個(gè)函數(shù)的圖像關(guān)于某條直線對(duì)稱.兩個(gè)函數(shù)關(guān)于某條直線對(duì)稱的條件是取兩個(gè)關(guān)于直線對(duì)稱的橫坐標(biāo),對(duì)應(yīng)的縱坐標(biāo)相等.此題中任取兩個(gè)關(guān)于x=1對(duì)稱的兩個(gè)橫坐標(biāo)比如1+x0和1-x0,兩個(gè)函數(shù)f(x-1)與f(1-x)的縱坐標(biāo)y1=f(1+x0-1)=f(x0)與y2=f(1+x0-1)=f(x0)相等,所以f(x-1)的圖像與f(1-x)的圖像關(guān)于x=1對(duì)稱
3.首先它講的是函數(shù)本身關(guān)于某個(gè)點(diǎn)對(duì)稱的問(wèn)題.例如f(x)=x^3這個(gè)函數(shù)的圖像就關(guān)于點(diǎn)（0,0)對(duì)稱,它為什么關(guān)于點(diǎn)（0,0)對(duì)稱,是因?yàn)槿稳蓚€(gè)關(guān)于x=0對(duì)稱的兩個(gè)橫坐標(biāo)比如x0和-x0,對(duì)應(yīng)的縱坐標(biāo)f(x0)=-f(-x0).同理可得：此題中f(x)圖像關(guān)于（1,0）點(diǎn)對(duì)稱是因?yàn)槿稳蓚€(gè)關(guān)于x=1對(duì)稱的兩個(gè)橫坐標(biāo)比如1+x0和1-x0始終有f(x0+1)=-f(1-x0)成立.
4.首先它講的是兩個(gè)函數(shù)的圖像關(guān)于某個(gè)點(diǎn)對(duì)稱的問(wèn)題.兩個(gè)函數(shù)關(guān)于某個(gè)點(diǎn)對(duì)稱的條件是取兩個(gè)關(guān)于這個(gè)點(diǎn)對(duì)稱的橫坐標(biāo),對(duì)應(yīng)的縱坐標(biāo)正好相反.此題中任取兩個(gè)關(guān)于（1,0)對(duì)稱的兩個(gè)橫坐標(biāo)比如1+x0和1-x0,兩個(gè)函數(shù)f(x-1)與f(1-x)的縱坐標(biāo)y1=-f(1+x0-1)=f(x0)與y2=f(1+x0-1)=f(x0)相反,所以f(x-1)的圖像與f(1-x)的圖像關(guān)于點(diǎn)（1,0)對(duì)稱