两圆x²+y²+2ax+2ay+2a²-1=0与x²+y²+2bx+2by+2b²-2=0的公共弦长的最大值是
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![两圆x²+y²+2ax+2ay+2a²-1=0与x²+y²+2bx+2by+2b²-2=0的公共弦长的最大值是](/uploads/image/z/3021234-42-4.jpg?t=%E4%B8%A4%E5%9C%86x%26%23178%3B%2By%26%23178%3B%2B2ax%2B2ay%2B2a%26%23178%3B-1%3D0%E4%B8%8Ex%26%23178%3B%2By%26%23178%3B%2B2bx%2B2by%2B2b%26%23178%3B-2%3D0%E7%9A%84%E5%85%AC%E5%85%B1%E5%BC%A6%E9%95%BF%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E6%98%AF)
两圆x²+y²+2ax+2ay+2a²-1=0与x²+y²+2bx+2by+2b²-2=0的公共弦长的最大值是
两圆x²+y²+2ax+2ay+2a²-1=0与x²+y²+2bx+2by+2b²-2=0的公共弦长的最大值是
两圆x²+y²+2ax+2ay+2a²-1=0与x²+y²+2bx+2by+2b²-2=0的公共弦长的最大值是
x^2+y^2+3x-y=0(1)
3x^2+3y^2+8x+y=0(2)
(1)*3 3x^2+3y^2+9x-3y=0(3)
(3)-(2) x-4y=0
x=4y(4)
(4y)^2+y^2+12y-y=0
16y^2+y^2+11y=0
17y^2+11y=0
y(17y+11)=0
y1=0,y2=-11/17
x1=0,x2=-44/17
A(0,0),B(-44/17,-11/17)
AB^2=(44^2/17^2+11^2/17^2)=2057/17^2
AB=2057^1/2/17
公共弦长AB=2057^1/2/17