Question

5、下列說法錯(cuò)誤的是（　�。�

A、y=x⁴+x²是偶函數(shù)

B、偶函數(shù)的圖象關(guān)于y軸對(duì)稱

C、y=x³+x²是奇函數(shù)

D、奇函數(shù)的圖象關(guān)于原點(diǎn)對(duì)稱

Answer 1

分析：利用偶函數(shù)的定義判斷出A對(duì)；利用偶函數(shù)的圖象關(guān)于y軸對(duì)稱，奇函數(shù)的圖象關(guān)于原點(diǎn)對(duì)稱得到B，D 正確．

解答：解：偶函數(shù)的定義是滿足f（-x）=f（x）；奇函數(shù)的定義是f（-x）=-f（x）
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
所以B，D是正確的
對(duì)于A將x換為-x函數(shù)解析式不變，A是正確的
故選C

點(diǎn)評(píng)：本題考查偶函數(shù)、奇函數(shù)的定義；偶函數(shù)、奇函數(shù)的圖象的對(duì)稱性．