从0.1.2.3.4.5.6七个数中任取三个不重复的数字最为直线的方程ax+by+c=0的系数,得到不同的直线共几条?

从0.1.2.3.4.5.6七个数中任取三个不重复的数字最为直线的方程ax+by+c=0的系数,得到不同的直线共几条?
从0.1.2.3.4.5.6七个数中任取三个不重复的数字最为直线的方程ax+by+c=0的系数,得到不同的直线共几条?

从0.1.2.3.4.5.6七个数中任取三个不重复的数字最为直线的方程ax+by+c=0的系数,得到不同的直线共几条?
不同斜率共47组,斜率相同的平衡线算不同的话共159组（x=0是y值相同）
斜率x=0时y值组合
-6.00 0.00 6x+1y+0=0
-5.00 0.00 5x+1y+0=0
-4.00 -2.00 6x+1y+2=0
0.00 4x+1y+0=0
-3.00 -3.00 6x+1y+3=0
-2.00 5x+1y+2=0
0.00 3x+1y+0=0
6x+2y+0=0
-2.50 -0.50 6x+2y+1=0
0.00 5x+2y+0=0
-2.00 -4.00 6x+1y+4=0
-3.00 5x+1y+3=0
-2.00 4x+1y+2=0
-0.50 5x+2y+1=0
0.00 2x+1y+0=0
4x+2y+0=0
6x+3y+0=0
-1.67 -0.33 6x+3y+1=0
0.00 5x+3y+0=0
-1.50 -1.50 6x+2y+3=0
-0.50 4x+2y+1=0
0.00 3x+2y+0=0
6x+4y+0=0
-1.33 -0.67 6x+3y+2=0
-0.33 5x+3y+1=0
0.00 4x+3y+0=0
-1.25 -0.25 6x+4y+1=0
0.00 5x+4y+0=0
-1.20 0.00 6x+5y+0=0
-1.00 -5.00 6x+1y+5=0
-4.00 5x+1y+4=0
-3.00 4x+1y+3=0
-2.00 3x+1y+2=0
6x+2y+4=0
-1.50 5x+2y+3=0
-0.67 5x+3y+2=0
-0.50 3x+2y+1=0
6x+4y+2=0
-0.33 4x+3y+1=0
-0.25 5x+4y+1=0
-0.20 6x+5y+1=0
-0.83 0.00 5x+6y+0=0
-0.80 -0.40 6x+5y+2=0
0.00 4x+5y+0=0
-0.75 -0.75 6x+4y+3=0
-0.50 5x+4y+2=0
0.00 3x+4y+0=0
-0.67 -1.33 6x+3y+4=0
-0.67 4x+3y+2=0
-0.17 5x+6y+1=0
0.00 2x+3y+0=0
4x+6y+0=0
-0.60 -0.60 6x+5y+3=0
-0.20 4x+5y+1=0
0.00 3x+5y+0=0
-0.50 -2.50 6x+2y+5=0
-2.00 5x+2y+4=0
-1.50 4x+2y+3=0
-0.75 5x+4y+3=0
-0.33 5x+6y+2=0
-0.25 3x+4y+1=0
-0.17 4x+6y+1=0
0.00 1x+2y+0=0
2x+4y+0=0
3x+6y+0=0
-0.40 -0.80 6x+5y+4=0
-0.40 4x+5y+2=0
-0.20 3x+5y+1=0
0.00 2x+5y+0=0
-0.33 -1.67 6x+3y+5=0
-1.33 5x+3y+4=0
-0.50 5x+6y+3=0
-0.33 2x+3y+1=0
4x+6y+2=0
-0.17 3x+6y+1=0
0.00 1x+3y+0=0
2x+6y+0=0
-0.25 -1.25 6x+4y+5=0
-0.50 3x+4y+2=0
-0.25 2x+4y+1=0
0.00 1x+4y+0=0
-0.20 -0.60 4x+5y+3=0
-0.40 3x+5y+2=0
-0.20 2x+5y+1=0
0.00 1x+5y+0=0
-0.17 -0.67 5x+6y+4=0
-0.50 4x+6y+3=0
-0.33 3x+6y+2=0
-0.17 2x+6y+1=0
0.00 1x+6y+0=0
0.17 -0.83 4x+6y+5=0
-0.67 3x+6y+4=0
-0.50 2x+6y+3=0
-0.33 1x+6y+2=0
-0.17 0x+6y+1=0
0.20 -0.80 3x+5y+4=0
-0.60 2x+5y+3=0
-0.40 1x+5y+2=0
-0.20 0x+5y+1=0
0.25 -1.50 5x+4y+6=0
-0.75 2x+4y+3=0
-0.50 1x+4y+2=0
-0.25 0x+4y+1=0
0.33 -2.00 5x+3y+6=0
-1.67 4x+3y+5=0
-0.83 3x+6y+5=0
-0.67 1x+3y+2=0
2x+6y+4=0
-0.50 1x+6y+3=0
-0.33 0x+3y+1=0
0x+6y+2=0
0.40 -1.20 4x+5y+6=0
-0.80 2x+5y+4=0
-0.60 1x+5y+3=0
-0.40 0x+5y+2=0
0.50 -3.00 5x+2y+6=0
-2.50 4x+2y+5=0
-2.00 3x+2y+4=0
-1.25 3x+4y+5=0
-0.83 2x+6y+5=0
-0.75 1x+4y+3=0
-0.67 1x+6y+4=0
-0.50 0x+2y+1=0
0x+4y+2=0
0x+6y+3=0
0.60 -1.20 3x+5y+6=0
-0.80 1x+5y+4=0
-0.60 0x+5y+3=0
0.67 -2.00 4x+3y+6=0
-1.33 2x+3y+4=0
-0.83 1x+6y+5=0
-0.67 0x+3y+2=0
0x+6y+4=0
0.75 -1.50 3x+4y+6=0
-1.25 2x+4y+5=0
-0.75 0x+4y+3=0
0.80 -1.20 2x+5y+6=0
-0.80 0x+5y+4=0
0.83 -0.83 0x+6y+5=0
1.00 -6.00 5x+1y+6=0
-5.00 4x+1y+5=0
-4.00 3x+1y+4=0
-3.00 2x+1y+3=0
4x+2y+6=0
-2.50 3x+2y+5=0
-1.67 2x+3y+5=0
-1.50 1x+2y+3=0
2x+4y+6=0
-1.33 1x+3y+4=0
-1.25 1x+4y+5=0
-1.20 1x+5y+6=0
1.20 -1.20 0x+5y+6=0
1.25 -1.50 1x+4y+6=0
-1.25 0x+4y+5=0
1.33 -2.00 2x+3y+6=0
-1.67 1x+3y+5=0
-1.33 0x+3y+4=0
1.50 -3.00 3x+2y+6=0
-2.00 1x+2y+4=0
-1.50 0x+2y+3=0
0x+4y+6=0
1.67 -2.00 1x+3y+6=0
-1.67 0x+3y+5=0
2.00 -6.00 4x+1y+6=0
-5.00 3x+1y+5=0
-4.00 2x+1y+4=0
-2.50 1x+2y+5=0
-2.00 0x+1y+2=0
0x+2y+4=0
0x+3y+6=0
2.50 -3.00 1x+2y+6=0
-2.50 0x+2y+5=0
3.00 -6.00 3x+1y+6=0
-5.00 2x+1y+5=0
-3.00 0x+1y+3=0
0x+2y+6=0
4.00 -6.00 2x+1y+6=0
-4.00 0x+1y+4=0
5.00 -5.00 0x+1y+5=0
6.00 -6.00 0x+1y+6=0
除数0除数01x+0y+2=0
1x+0y+3=0
1x+0y+4=0
1x+0y+5=0
1x+0y+6=0
2x+0y+1=0
2x+0y+3=0
2x+0y+4=0
2x+0y+5=0
2x+0y+6=0
3x+0y+1=0
3x+0y+2=0
3x+0y+4=0
3x+0y+5=0
3x+0y+6=0
4x+0y+1=0
4x+0y+2=0
4x+0y+3=0
4x+0y+5=0
4x+0y+6=0
5x+0y+1=0
5x+0y+2=0
5x+0y+3=0
5x+0y+4=0
5x+0y+6=0
6x+0y+1=0
6x+0y+2=0
6x+0y+3=0
6x+0y+4=0
6x+0y+5=0

30条
当B=0时，有五种，分别是 X=-C/A; A=1,2,3,6,7.
当B不等于0时，Y=-AX/B-C/B共有5*5=25 种，有平行的，但没有重复的
所以说答案是30条直线。