已知函数y=|x눀-1|⼀x-1的图像与函数y=kx的图像恰有两个交点,则实数k的取值

2025-06-26 01:46:23
推荐回答(1个)
回答1:

y=∣x²-1∣/(x-1)=∣(x+1)(x-1)∣/(x-1)

当x≦-1时,y=(x+1)(x-1)/(x-1)=x+1;

当-1≦x≦1时,y=-(x+1)(x-1)/(x-1)=-(x+1);

当x≧1时,y=(x+1)(x-1)/(x-1)=x+1.