證明：由定義域知x≠1,知對(duì)稱中心橫坐標(biāo)一定為1
設(shè)對(duì)稱中心為(1,a),則圖像上一點(diǎn)(x,y)關(guān)于(1,a)對(duì)稱點(diǎn)為(2-x,2a-y)
∴2a-y=2-x+1/(2-x-1)=2-x+1/(1-x),而y=x+1/(x-1)
帶入得2a-x-1/(x-1)=2-x+1/(1-x)
=> 2a=2 => a=1
即y=x+1/(x-1)關(guān)于點(diǎn)(1,1)中心對(duì)稱,對(duì)稱中心點(diǎn)即(1,1)