设直线L1:(m-2)x+my=0,L2:x+3my+1=0.则当L1//L2时,m=______.当L1⊥L2时,m=____.
问题描述:
设直线L1:(m-2)x+my=0,L2:x+3my+1=0.则当L1//L2时,m=______.当L1⊥L2时,m=____.
答
设直线L1:(m-2)x+my=0,L2:x+3my+1=0.则当L1//L2时,m=______.当L1⊥L2时,m=____.
1.(m-2)/1=m/3m
m-2=1/3
m=7/3
2.
m-2+m·3m=0
3m平方+m-2=0
(m+1)(3m-2)=0
m=-1或m=2/3