已知直线方程(2+m)x+(1-2m)y+4-3m=0 求证m不论为何实数,此直线过定点
问题描述:
已知直线方程(2+m)x+(1-2m)y+4-3m=0 求证m不论为何实数,此直线过定点
已知直线方程(2+m)x+(1-2m)y+4-3m=0
求证m不论为何实数,此直线过定点
答
(2+m)x+(1-2m)y+4-3m=0
(2+m)x+(1-2m)y+(2+m)+2(1-2m)=0
(2+m)(x+1)+(1-2m)(y+2)=0
不管m为何值,x+1=0时,y+2必然为0
所以此函数必过点(-1,-2)