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1、函數(shù)圖象的變換數(shù)學(xué)組:劉凱鋒圖圖象象變變換換)(xfy )(axfy向左(a0)右(a0)下(b0)平 移 |b| 單 位XYO菜單)(xfy )( axfy|a|NextXYBackO)(xfy bxfy)(|b|)(xfy )( xfy 關(guān)于 y 軸 對(duì)稱)(xfy )(xfy關(guān)于 x對(duì)稱)( xfy)(xfy 關(guān)于原 點(diǎn)對(duì)稱菜單NextXY)(xfy)( xfyO對(duì)稱對(duì)稱對(duì)稱菜單菜單菜單NextXYO)(xfy)(xfy 菜單菜單菜單對(duì)稱XYO)(xfy)( xfy菜單菜單菜單對(duì)稱)(xfy |)(|xfy 原圖象左不留,將y軸右側(cè)圖象沿y軸對(duì)稱,左右對(duì)稱)(xfy | )(|xfy 保
2、留x軸上方圖象不動(dòng),將x軸下方圖象沿x軸對(duì)稱菜單NextXY)(xfyOXYO|)(|xfy 菜單翻折XY)(xfyOOXY| )(| xfy)(),1) 1 ( 1xfyxfy只需將函數(shù)(要得到函數(shù)例向 _ 平移 _個(gè)單位右1菜單圖像必過(guò)點(diǎn)的),則函數(shù)的圖像經(jīng)過(guò)點(diǎn)(已知函數(shù))4(1 , 1)()2(xfxf(5,1)的大致圖象。:請(qǐng)作出函數(shù)例1122xxy)的對(duì)稱中心是(為常數(shù)注:makmaxkmy,-),(例3: 的表達(dá)式為點(diǎn)對(duì)稱,則的圖象關(guān)于坐標(biāo)原的圖象與函數(shù)如果函數(shù))(23)(xfyxyxfy32)(32)(32)(32)(xyDxyCxyBxyA的表達(dá)式為對(duì)稱,則軸的圖象關(guān)于的圖象與函數(shù):如果函數(shù)變式)(23)(1xfyyxyxfyxy23的表達(dá)式為對(duì)稱,則軸的圖象關(guān)于的圖象與函數(shù):如果函數(shù)變式)(23)(2xfyxxyxfy32 xy的大致圖象:作出函數(shù)例xyx442大致圖象的:作出函數(shù)變式xyx412的大致圖象:作出函數(shù)變式xyx422