若直线ax+2y-6=0与x+(a-1)y-(a-1)=0平行,则他们之间的距离等于?

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/11 12:38:00

两直线平行,斜率相等.- a/2 = -1/(a-1) ==> 2 = a(a-1) ==> a^2 - a - 2 = 0 ==> (a -2)(a+1) = 0 ==> a = 2,- 1 (1) 当 a = 2 时,ax+2y-6=0 ==> x + y - 3 = 0 x+(a-1)y-(a-1)=0 ==> x + y - 3 = 0 此时两线重合.所以a= 2 不符合题意.(2) a = -1 ax+2y-6=0 ==> -x + 2y - 6 = 0 ==> x - 2y + 6 = 0 x+(a-1)y-(a-1)=0 ==> x - 2y = 0 tg apha = 6/x = 1/2 ==> x = 12 S = 12 * 6 /2 = √(6^2 + 12^2) * h / 2 ==> 36 = √180 * h /2 ==> 36 = 6√5 * h /2 ==> h = 12 / √5 ==> h = 12√5 / 5

已知直线ax-y=0与直线2x+3y+1=0平行，则a等于（　　）直线ax+2y-1=0与x+(a-1)y+2=0平行,则a等于若直线ax+2y-1=0与直线x-y+2=0平行,则实数a＝已知直线3x+2y-3=0与6x+4y+1=0互相平行，则它们之间的距离等于（　　）已知直线3x+（a+1）y+3=0与ax+2y+2=0互相平行，则实数a的值等于______．若直线ax+2y+30=0与直线3x+(a-1)y+7-a=0平行,则实数a的值为多少? 若直线ax+2y+30=0与直线3x+(a-1)y+7-a=0平行,则实数a的值为两平行直线2x+3y-6=0与4x+6y+1=0之间的距离等于如果两条直线l1：ax+2y+6=0与l2：x+（a-1）y+3=0平行，那么a等于（　　）两直线3x+y-3=0与6x+my=1=0平行,则他们之间的距离是多少?怎么算啊若直线l1:2X+Y-1=0与直线L2：X+1/2Y+A=0之间的距离是根号5,则A=? 若直线ax+2y+2=0与直线3x-Y-2=0平行.求这两条平行线之间的距离.