直线l1:kx+(1-k)y-3=0和l2:(k-1)x+(2k+3)y-2=0互相垂直,则k=_.

问题描述:

直线l1:kx+(1-k)y-3=0和l2:(k-1)x+(2k+3)y-2=0互相垂直,则k=______.

因为l1⊥l2,所以k•(k-1)+(1-k)•(2k+3)=0,
解得 k=1或k=-3
故答案为:1或-3