已知函數(shù)y=x的平-1的絕對(duì)值除以x-1的圖像與函數(shù)y=kx-2的圖像恰有兩個(gè)交點(diǎn),則實(shí)數(shù)k的取值范
已知函數(shù)y=x的平-1的絕對(duì)值除以x-1的圖像與函數(shù)y=kx-2的圖像恰有兩個(gè)交點(diǎn),則實(shí)數(shù)k的取值范
優(yōu)質(zhì)解答
前一個(gè)函數(shù)為分段函數(shù):當(dāng)x>1或x<=-1時(shí),y=x+1;當(dāng)-1且(1,2)(1,-2)兩點(diǎn)都不經(jīng)過(guò)
后一個(gè)函數(shù)經(jīng)過(guò)點(diǎn)(0,-2)
畫(huà)圖可知當(dāng)后一個(gè)函數(shù)的斜率在經(jīng)過(guò)(1,2)(1,-2)兩點(diǎn)(不包括這兩點(diǎn))間時(shí),和前一個(gè)函數(shù)恰好有兩個(gè)交點(diǎn).
分別把兩點(diǎn)代入,得k1=4,k2=0
所以0