Question

已知a=3^0.6，b=0.6³，c=log₂0.6，則實(shí)數(shù)a，b，c的大小關(guān)系為    ．

Answer 1

【答案】分析：利用指數(shù)函數(shù)y=3^x、y=0.6^x及對(duì)數(shù)函數(shù)y=log₂x的單調(diào)性，即可比較出三個(gè)數(shù)的大�。�
解答：解：∵0＜0.6³＜1，3^0.6＞1，log₂0.6＜0，
∴a＞b＞c．
故答案為：a＞b＞c．
點(diǎn)評(píng)：本題考查了指數(shù)函數(shù)和對(duì)數(shù)函數(shù)類型數(shù)的大小比較，充分理解指數(shù)函數(shù)和對(duì)數(shù)函數(shù)的單調(diào)性是解決問(wèn)題的關(guān)鍵．