过圆x²+y²+2x-6y+1=0和圆x²+y²+-6x-6y+17=0的交点的直线方程
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/17 02:20:48
![过圆x²+y²+2x-6y+1=0和圆x²+y²+-6x-6y+17=0的交点的直线方程](/uploads/image/z/3726142-70-2.jpg?t=%E8%BF%87%E5%9C%86x%26%23178%3B%2By%26%23178%3B%2B2x-6y%2B1%3D0%E5%92%8C%E5%9C%86x%26%23178%3B%2By%26%23178%3B%2B-6x-6y%2B17%3D0%E7%9A%84%E4%BA%A4%E7%82%B9%E7%9A%84%E7%9B%B4%E7%BA%BF%E6%96%B9%E7%A8%8B)
过圆x²+y²+2x-6y+1=0和圆x²+y²+-6x-6y+17=0的交点的直线方程
过圆x²+y²+2x-6y+1=0和圆x²+y²+-6x-6y+17=0的交点的直线方程
过圆x²+y²+2x-6y+1=0和圆x²+y²+-6x-6y+17=0的交点的直线方程
x²+y²+2x-6y+1=0
x²+y²+-6x-6y+17=0
相减
则x=2,所以y=3
所以两个圆相切于(2,3)
所以直线是a(x-2)+b(y-3)=0
其中a,b是任意实数