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歡迎您訪問數(shù)學(xué)考題練習(xí):函數(shù)y=k(x-1)的圖象向左平移一個(gè)單位后與!

數(shù)學(xué)考題練習(xí):函數(shù)y=k(x-1)的圖象向左平移一個(gè)單位后與

更新時(shí)間:2024-01-12 16:33:15作者:貝語網(wǎng)校

函數(shù)y=k(x-1)的圖象向左平移一個(gè)單位后與反比例函數(shù)y=的圖象的交點(diǎn)為A、B,若A點(diǎn)坐標(biāo)為(1,2),則B點(diǎn)的坐標(biāo)為________.

試題答案

(-1,-2)

試題解析

應(yīng)先得到一次函數(shù)平移后的函數(shù)解析式,進(jìn)而判斷與反比例函數(shù)的交點(diǎn).

解答:y=k(x-1)的圖象向左平移一個(gè)單位為y=kx,為正比例函數(shù),

∵正比例函數(shù)與反比例函數(shù)的交點(diǎn)關(guān)于原點(diǎn)對(duì)稱,A點(diǎn)坐標(biāo)為(1,2),

∴另一交點(diǎn)坐標(biāo)為(-1,-2).

故答案為:(-1,-2).

點(diǎn)評(píng):用到的知識(shí)點(diǎn)為:一次函數(shù)y=kx+b平移規(guī)律:“左加右減”,即向左(右)移幾個(gè)單位就加(減)幾個(gè)單位;正比例函數(shù)與反比例函數(shù)的交點(diǎn)關(guān)于原點(diǎn)對(duì)稱.

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