Question

函數(shù)y=x³+x的圖象（　�。�

A．關(guān)于原點(diǎn)對(duì)稱

B．關(guān)于x軸對(duì)稱

C．關(guān)于y軸對(duì)稱

D．關(guān)于直線y=x對(duì)稱

Answer 1

分析：先判斷函數(shù)的奇偶性，利用函數(shù)奇偶性的圖象特點(diǎn)判斷函數(shù)的對(duì)稱性．

解答：解：設(shè)函數(shù)y=f（x）=x³+x，則f（-x）=（-x）³-x=-（x³+x）=-f（x），
所以函數(shù)f（x）為奇函數(shù)，所以函數(shù)的圖象關(guān)于原點(diǎn)對(duì)稱．
故選A．

點(diǎn)評(píng)：本題主要考查函數(shù)奇偶性的圖象特點(diǎn)，奇函數(shù)的圖象關(guān)于原點(diǎn)對(duì)稱，偶函數(shù)的圖象關(guān)于y軸對(duì)稱．