问题
选择题
直线l1:2x+(m+1)y+4=0与直线l2:mx+3y-2=0平行,则m的值为( )
A.2
B.-3
C.2或-3
D.-2或-3
答案
答案:C
①当m=-1时,l1:x=-2,l2:x-3y+2=0,∴l1不平行于l2.
②当m=0时,l1:2x+y+4=0,l2:3y-2=0,∴l1不平行于l2
③当m≠-1,m≠0时,,.
∵l1∥l2,∴.
∴m=2,或m=-3.
直线l1:2x+(m+1)y+4=0与直线l2:mx+3y-2=0平行,则m的值为( )
A.2
B.-3
C.2或-3
D.-2或-3
答案:C
①当m=-1时,l1:x=-2,l2:x-3y+2=0,∴l1不平行于l2.
②当m=0时,l1:2x+y+4=0,l2:3y-2=0,∴l1不平行于l2
③当m≠-1,m≠0时,,.
∵l1∥l2,∴.
∴m=2,或m=-3.