X^2+Y^2=10 X^2+Y^2+2x+2y-14=0过两圆交点,且圆心在x+2y-3=0的圆的方程求帮助 谢谢嘞!
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X^2+Y^2=10X^2+Y^2+2x+2y-14=0过两圆交点,且圆心在x+2y-3=0的圆的方程求帮助谢谢嘞!X^2+Y^2=10X^2+Y^2+2x+2y-14=0过两圆交点,且圆心在x+2y
X^2+Y^2=10 X^2+Y^2+2x+2y-14=0过两圆交点,且圆心在x+2y-3=0的圆的方程求帮助 谢谢嘞!
X^2+Y^2=10 X^2+Y^2+2x+2y-14=0过两圆交点,且圆心在x+2y-3=0的圆的方程
求帮助 谢谢嘞!
X^2+Y^2=10 X^2+Y^2+2x+2y-14=0过两圆交点,且圆心在x+2y-3=0的圆的方程求帮助 谢谢嘞!
过两圆交点的圆系为:
x^2+y^2+2x+2y-14+k(x^2+y^2-10)=0
(1+k)x^2+(1+k)y^2+2x+2y-14-10k=0
其圆心(a,b)为:
a=-1/(1+k),b=-1/(1+k)
代入直线x+2y-3=0得:-1/(1+k)-2/(1+k)-3=0
得:k=-2
因此圆为:-x^2-y^2+2x+2y-14+20=0
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