Question

0.4^0.6，log_0.44，4^0.4這三個(gè)數(shù)的大小順序是    ＜    ＜    ．

Answer 1

【答案】分析：由指數(shù)函數(shù)的單調(diào)性可得，0＜0.4^0.6＜0.4=1，4^0.4＞4=1，結(jié)合對(duì)數(shù)函數(shù)的單調(diào)性可知log_0.44＜log_0.41=0，從而可比較大小
解答：解：由題意可得，0＜0.4^0.6＜0.4=1，log_0.44＜log_0.41=0，4^0.4＞4=1
∴l(xiāng)og_0.44＜0＜0.4^0.6＜1＜4^0.4
故答案為：log_0.44，0.4^0.6，4^0.4
點(diǎn)評(píng)：本題主要考查了利用指數(shù)函數(shù)與對(duì)數(shù)函數(shù)及指數(shù)函數(shù)與對(duì)數(shù)函數(shù)的特殊點(diǎn)的函數(shù)值比較式子的大小，屬于基礎(chǔ)性試題．