Question

若函數(shù)f(x) (x∈R)是奇函數(shù)，函數(shù)g(x) (x∈R)是偶函數(shù)，則

A．函數(shù)f[g(x)]是奇函數(shù)	B．函數(shù)g[f(x)]是奇函數(shù)
C．函數(shù)f(x) g(x)是奇函數(shù)	D．函數(shù)f(x)＋g(x)是奇函數(shù)

Answer 1

C

解析試題分析：根據(jù)函數(shù)奇偶性的定義可知，是偶函數(shù)，同理可以判斷是偶函數(shù)，函數(shù)f(x)＋g(x)的奇偶性不確定，而是奇函數(shù).
考點(diǎn)：本小題主要考查函數(shù)奇偶性的定義和應(yīng)用.
點(diǎn)評：判斷函數(shù)的奇偶性先看函數(shù)的定義域是否關(guān)于原點(diǎn)對稱，如果關(guān)于原點(diǎn)對稱，再根據(jù)定義進(jìn)行判斷.