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8.B【解析】由条件知f(x)的一个对称中心是(1,0)，一条对称轴为x=一1，则x=3也是对称轴，即f(x十3)是偶函数，B正确.A、C不确定.对于D:仅可判断周期为T=2X4=8,即f(x)=f(x十8).[另解]由奇函数条件得f(x+1)=一(-x+1),由偶函数条件得f(x-1)=f(-x-1)→f(x+1)=f(-x-3),∴.-f(-x+1)=f(一x-3)→f(x)+f(x十4)=0，则f(x+8)=-f(x十4)=f(x),即周期为8.另一方面f(x+5)=一f(x十1)=f(一x十1)→f(x+3)=f(一x十3)，即f(x+3)是偶函数.
续写参考答案Seeing a painting on the wall,Taylor whispered."That's it."A good idea suddenly popped intoher mind,"Why not transform the daisy into a work of art?"Thinking of this,Taylor raced upstairs toher room,took out her art supplies and sat herself down at her desk,looking out of the window at theremaining daisies below.As her brush moved smoothly on paper,daisies took shape and came alive.Taylor made one painting after another.By the end of the week,she had dozens of daisy paintings.On the morning of the fair,Taylor shouted."Grandma.come upstairs.I have a surprise for you."When Grandma reached Taylor's bedroom,she was greeted by daisy paintings everywhere.Soimpressed by the scene was she that she said(so.,that.,结构+倒装)，"Amazing!You've broughtthe daisies back to life.You're born to be an artist,Taylor!"Hearing this.Taylor smiled from ear to ear.Together they loaded the paintings and the remaining daisy flowers and headed for the fair.Much totheir delight and astonishment,the paintings were hugely popular!That night,Taylor dreamed a sweetdream where she became a distinguished artist(定语从句)
