Question

利用指數(shù)函數(shù)在同一坐標(biāo)系中的圖象比較大小可得0.7^0.8

＜

0.8^0.7．

Answer 1

分析：由指數(shù)函數(shù)y=0.7^x為單調(diào)遞減函數(shù)可得，0.7^0.8＜0.7^0.7，由冪函數(shù)y=x^0.7為增函數(shù)可得，0.7^0.7＜0.8^0.7，，從而可得

解答：解：由指數(shù)函數(shù)y=0.7^x為單調(diào)遞減函數(shù)可得，0.7^0.8＜0.7^0.7
由冪函數(shù)y=x^0.7為增函數(shù)可得，0.7^0.7＜0.8^0.7
所以，0，7^0.8＜0.7^0.7＜0.8^0.7
故答案為：＜

點(diǎn)評(píng)：本題主要考查了利用指數(shù)函數(shù)及冪函數(shù)的單調(diào)性比較式子的大小，屬于基礎(chǔ)知識(shí)的應(yīng)用．