微信人工申诉电话:已知直线l经过.P(2,1),且和直线5X+2Y+3=0的夹角等于45° ,求直线l的方程

来源:百度文库 编辑:高考问答 时间:2024/04/27 21:25:07

5X + 2Y + 3 = 0 斜率K0 = -5/2 = tgA

假定与此直线夹角为45°的直线斜率为tgB,则有
B = A±45°

K1 = tg(A + 45°)
= (tgA + tg45°)/(1 - tgA*tg45°)
= (-5/2 + 1)/(1 + 5/2)
= -3/7
K2 = tg(A - 45°)
= (tgA - tg45°)/(1 + tgA*tg45°)
= (-5/2 - 1)/(1 - 5/2)
= 7/3

过点P(2,1)
y - 1 = K1*(x + 2) .... y = -3/7*x + 1/7
y - 1 = K2*(x + 2) .... y = 7/3*x + 17/3

不知道对不对啊,仅供参考,呵呵