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2018_2019学年高中数学第二章函数2.1.4函数的奇偶性情境导学素材新人教B版必修1.doc

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12.1.4 函数的奇偶性【情境导学】 雄奇伟丽的大好河山,赏心悦目的名人字画,绮丽绵长的乐曲等都给人以美的享受.但你从中是否体会到了数学美?数学是全人类智慧的结晶,数学图形的对称性蕴涵着比诗画更美的意义.函数图象有很多种对称,其中有一种是轴对称,还有一种是中心对称.你能举几个关于轴对称和中心对称的函数图象吗?提示:(1)正比例函数 y=kx(k0),反比例函数 y= (k0)等,它们的图象关于原点成中心对称.(2)二次函数 y=ax2(a0)的图象关于 y 轴成轴对称.

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