已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最...已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最小值.
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![已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最...已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最小值.](/uploads/image/z/4485391-7-1.jpg?t=%E5%B7%B2%E7%9F%A5%E8%BF%87%E7%82%B9A%281%2C-1%29%2CB%28-1%2C1%29%E7%9A%84%E5%9C%86%2C%E5%9C%86%E5%BF%83%E5%9C%A8%E7%9B%B4%E7%BA%BFx%2By-2%3D0%E4%B8%8A%2C%281%29%E6%B1%82%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%9B%282%29%E6%B1%82x%5E2%2B%28y-1%29%5E2%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E5%92%8C%E6%9C%80...%E5%B7%B2%E7%9F%A5%E8%BF%87%E7%82%B9A%281%2C-1%29%2CB%28-1%2C1%29%E7%9A%84%E5%9C%86%2C%E5%9C%86%E5%BF%83%E5%9C%A8%E7%9B%B4%E7%BA%BFx%2By-2%3D0%E4%B8%8A%2C%281%29%E6%B1%82%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%9B%282%29%E6%B1%82x%5E2%2B%28y-1%29%5E2%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E5%92%8C%E6%9C%80%E5%B0%8F%E5%80%BC.)
已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最...已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最小值.
已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最...
已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最小值.
已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最...已知过点A(1,-1),B(-1,1)的圆,圆心在直线x+y-2=0上,(1)求圆的方程;(2)求x^2+(y-1)^2的最大值和最小值.
(1)设方程:(x-a)^2+(y-b)^2=r^2
将A、B代入上式:a=b
又:a+b-2=0,a=b=1
A点和圆心坐标求r=2
(x-1)^2+(y-1)^2=4
(2)(x-1)^2=4-(y-1)^2>=0,-1<=y<=1
y=2-x,1<=x<=3,5<=[x^2+(y-1)^2=2x+3]<=9,
(1)AB中垂线与直线x+y-2=0交点为圆心(1,1),圆方程(x-1)^2+(y-1)^2=4
(2)x^2+(y-1)^2=4-2x-1=3-2x 当满足圆方程,x最小取-1,则最大值5
同理x可取最大值3,x^2+(y-1)^2最小值-3.
(1)设c=(x-a)^2+(y-b)^2。点A(,B代人相减得a-b=0结合a+b=2得a=-1,b=-1,A(1,-1)代人得4=(x+1)^2+(y+1)^2
(2)x^2+(y-1)^2=3-2x-4y用切线的方法解,设3-2x-4y=c,与圆方程相切,得出结果。