Question

設(shè)f′(x)是函數(shù)f(x)的導(dǎo)函數(shù)，將y＝f(x)和y＝f′(x)的圖象畫在同一個直角坐標(biāo)系中，不可能正確的是 (　　)

Answer 1

D

解析試題分析：經(jīng)檢驗，A：若曲線為原函數(shù)圖像，先減后增，則其導(dǎo)函數(shù)先負(fù)后正，正確；B：若一直上升的圖像為原函數(shù)圖像，單調(diào)遞增，則其導(dǎo)函數(shù)始終為正，正確；C：若下方的圖像為原函數(shù)，單調(diào)遞增，則其導(dǎo)函數(shù)始終為正，正確；D：若下方的函數(shù)為原函數(shù)，則由其導(dǎo)函數(shù)為正，可知原函數(shù)應(yīng)單調(diào)遞增，矛盾，若上方的函數(shù)圖像為原函數(shù)，則由其導(dǎo)函數(shù)可知，原函數(shù)應(yīng)先減后增，矛盾，故選D.
考點(diǎn)：導(dǎo)數(shù)的運(yùn)用.