第二章指數(shù)函數(shù)與對(duì)數(shù)函數(shù)復(fù)習(xí)課

1、指數(shù)函數(shù)指數(shù)函數(shù)與對(duì)數(shù)函數(shù)與對(duì)數(shù)函數(shù)一、知識(shí)網(wǎng)絡(luò)一、知識(shí)網(wǎng)絡(luò)指數(shù)函數(shù)指數(shù)函數(shù)與與對(duì)數(shù)函數(shù)對(duì)數(shù)函數(shù)指數(shù)與指數(shù)與指數(shù)函數(shù)指數(shù)函數(shù)對(duì)數(shù)與對(duì)數(shù)與對(duì)數(shù)函數(shù)對(duì)數(shù)函數(shù)指數(shù)指數(shù)指數(shù)函數(shù)指數(shù)函數(shù)概念擴(kuò)充概念擴(kuò)充冪的運(yùn)算冪的運(yùn)算圖像圖像性質(zhì)性質(zhì)對(duì)數(shù)對(duì)數(shù)對(duì)數(shù)函數(shù)對(duì)數(shù)函數(shù)對(duì)數(shù)概念對(duì)數(shù)概念對(duì)數(shù)運(yùn)算對(duì)數(shù)運(yùn)算圖像圖像性質(zhì)性質(zhì) 應(yīng)應(yīng)用用 二、綜合探究二、綜合探究（一）、指數(shù)與對(duì)數(shù)運(yùn)算（一）、指數(shù)與對(duì)數(shù)運(yùn)算 AbaAba則則且且若若填空填空, 21153).312lg2lg5lg2lg2lg2).28log7log6log5log).122765423115兩種兩種運(yùn)算運(yùn)算對(duì)于指數(shù)與對(duì)數(shù)運(yùn)算必須對(duì)于指數(shù)與對(duì)數(shù)運(yùn)算必須嚴(yán)格按照運(yùn)

2、算法則進(jìn)行嚴(yán)格按照運(yùn)算法則進(jìn)行. .（二）、指數(shù)函數(shù)與對(duì)數(shù)函數(shù)二）、指數(shù)函數(shù)與對(duì)數(shù)函數(shù) 的圖像與性質(zhì)的圖像與性質(zhì)遞減區(qū)間是遞減區(qū)間是的單調(diào)的單調(diào)函數(shù)函數(shù)區(qū)間是區(qū)間是的單調(diào)遞增的單調(diào)遞增函數(shù)函數(shù)56log. 2)21(. 1221432 xxyyxx , 2), 5()3 , 1(和和依據(jù)：復(fù)合函數(shù)的單調(diào)性的判定方法依據(jù)：復(fù)合函數(shù)的單調(diào)性的判定方法.的圖像橫過(guò)定點(diǎn)的圖像橫過(guò)定點(diǎn)的反函數(shù)的反函數(shù)，則，則得圖像恒過(guò)定點(diǎn)得圖像恒過(guò)定點(diǎn)若若)2()5 , 3()1(. 3 xfyAxfy)0 , 5(4.方程方程loga(x+1)+x22(a0,a1)的解的個(gè)數(shù)是的解的個(gè)數(shù)是( ) (A)1 (B)2

3、(C)1或或2 (D)無(wú)法確定無(wú)法確定 C注意數(shù)形結(jié)合思想的運(yùn)用注意數(shù)形結(jié)合思想的運(yùn)用（三）、比較大小問(wèn)題（三）、比較大小問(wèn)題7 . 0log, 7 . 0log).2(;)109( ,)54).(1(2 . 11 . 13121，并并說(shuō)說(shuō)明明理理由由。比比較較下下列列各各組組數(shù)數(shù)的的大大小小3121)109()54( 7 . 0log7 . 0log2 . 11 . 1 方法方法: :利用函數(shù)的單調(diào)性利用函數(shù)的單調(diào)性. . 用用“搭橋法搭橋法”. .（三）、定義域與值域問(wèn)題（三）、定義域與值域問(wèn)題 .)3(log,1 , 0)(. 12的定義域的定義域求求的定義域是的定義域是已知已知xfyxf 2 , 1 x.4log2log)(, 82. 222的值域的值域求