Question

當x＝時，函數(shù)f(x)＝Asin (x＋φ)(A>0)取得最小值，則函數(shù)y＝f是(　　)．

A．奇函數(shù)且圖象關(guān)于點對稱

B．偶函數(shù)且圖象關(guān)于點(π，0)對稱

C．奇函數(shù)且圖象關(guān)于直線x＝對稱

D．偶函數(shù)且圖象關(guān)于點對稱

 

Answer 1

C

【解析】當x＝時，函數(shù)f(x)＝Asin (x＋φ)(A>0)取得最小值，即＋φ＝－＋2kπ，k∈Z，即φ＝－＋2kπ，k∈Z，所以f(x)＝Asin (A>0)，所以y＝f＝Asin ＝－Asin x，所以函數(shù)為奇函數(shù)且圖象關(guān)于直線x＝對稱．