《四川省開(kāi)江縣高中數(shù)學(xué) 第二章 基本初等函數(shù)(I)2.1.2 指數(shù)函數(shù)及其性質(zhì)(3)課件 新人教A版必修1》由會(huì)員分享,可在線閱讀,更多相關(guān)《四川省開(kāi)江縣高中數(shù)學(xué) 第二章 基本初等函數(shù)(I)2.1.2 指數(shù)函數(shù)及其性質(zhì)(3)課件 新人教A版必修1(11頁(yè)珍藏版)》請(qǐng)?jiān)谘b配圖網(wǎng)上搜索。
1、2.1.2 指數(shù)函數(shù)及其性質(zhì)(三)指數(shù)函數(shù)及其性質(zhì)(三)xyO1xyO1xay 10 axay 1 a定義域定義域R值域值域), 0()1(性質(zhì)性質(zhì))1 , 0(過(guò)定點(diǎn)過(guò)定點(diǎn))2(性質(zhì)性質(zhì)上上是是增增函函數(shù)數(shù)在在R上上是是減減函函數(shù)數(shù)在在 R.2,12211的圖象的關(guān)聯(lián)與并思考的圖象和、作出函數(shù)例xxxyyy)1 , 1()0 , 2(1 yx212 xx212 x.) 1(),0 , 2()(過(guò)定點(diǎn)圖象則圖象過(guò)定點(diǎn)函數(shù)練習(xí):xfyxfy.,22,2,22聯(lián)聯(lián)四個(gè)函數(shù)圖象之間的關(guān)四個(gè)函數(shù)圖象之間的關(guān)并思考并思考的圖象的圖象和和作出作出例例xxxxyyyy xy2 xy 2xy2 xy 2)(x
2、fy )(xfy )( xfy )( xfy ),(ba)(afb ),(ba )(afb ),(ba )(afb ),(ba )(afb 軸軸對(duì)對(duì)稱稱的的圖圖象象關(guān)關(guān)于于與與yxfyxfy)()( 軸軸對(duì)對(duì)稱稱的的圖圖象象關(guān)關(guān)于于與與xxfyxfy)()( 的的圖圖象象關(guān)關(guān)于于原原點(diǎn)點(diǎn)對(duì)對(duì)稱稱與與)()(xfyxfy 規(guī)律:規(guī)律:.1的函數(shù)解析式軸、原點(diǎn)對(duì)稱軸、的圖象關(guān)于求與練習(xí):xyxy軸軸對(duì)對(duì)稱稱的的圖圖象象關(guān)關(guān)于于與與yxfyxfy)()( 軸軸對(duì)對(duì)稱稱的的圖圖象象關(guān)關(guān)于于與與xxfyxfy)()( 的的圖圖象象關(guān)關(guān)于于原原點(diǎn)點(diǎn)對(duì)對(duì)稱稱與與)()(xfyxfy 函數(shù)圖象的對(duì)稱變換:函數(shù)
3、圖象的對(duì)稱變換:函數(shù)圖象的平移變換:函數(shù)圖象的平移變換:?jiǎn)挝粏挝蛔笠谱笠苖mmxfyxfy)0)()( 單位單位右移右移mmmxfyxfy)0)()( 的圖象?得到的圖象經(jīng)過(guò)怎樣的變換函數(shù)例133. 3xxyy103 y13 xyxy 3關(guān)鍵點(diǎn)關(guān)鍵點(diǎn) 101yx 11yx1 y)1 , 1(個(gè)單位個(gè)單位右移右移1圖象分析圖象分析3 解析式分析:解析式分析:xy 3xy)31( 13 xy)1(3 xy1)31( xy1 1 xx )1()(1 xfyxfy個(gè)單位個(gè)單位右移右移xy 3)(3xy )1(3 xy13 xy! ! !:x圖象平移變換只針對(duì)圖象平移變換只針對(duì)注意注意的圖象?得到的圖象經(jīng)過(guò)怎樣的變換函數(shù)例133. 3xxyy2322xy個(gè)單位:圖象右移拓展xy31:1個(gè)單位:圖象左移拓展圖象如何變換?:拓展:3122xxyy?3334111的圖象的圖象,還是軸對(duì)稱得到圖象關(guān)于:函數(shù)拓展xxxyyyy)(33軸軸對(duì)對(duì)稱稱圖圖象象關(guān)關(guān)于于圖圖象象對(duì)對(duì)稱稱變變換換:yyyxx 稱為翻折變換稱為翻折變換圖象變換圖象變換)()(:xfyxfy 0,320,3232xxyxxx.32.4的圖象作出函數(shù)例xyx 32x 32:)(畫(huà)法畫(huà)法xfy 圖象如何變換?拓展:22:1xxyy