Question

已知函數(shù)與函數(shù)的圖像關(guān)于直線對稱，則函數(shù)的單調(diào)遞增區(qū)間是            

Answer 1

解析試題分析：因為函數(shù)與函數(shù)的圖像關(guān)于直線對稱，所以與互為反函數(shù)，所以，所以要使函數(shù)單調(diào)遞增，根據(jù)復(fù)合函數(shù)同增異減的性質(zhì)可知需要單調(diào)遞減，所以函數(shù)的單調(diào)遞增區(qū)間是.
考點：本小題主要考查反函數(shù)，復(fù)合函數(shù)的單調(diào)性.
點評：同底的指數(shù)函數(shù)和對數(shù)函數(shù)互為反函數(shù)，而復(fù)合函數(shù)的單調(diào)性遵循“同增異減”的原則.