数学大侠please help me已知点p(x,y)在圆x^2+y^2-6x-6y+14=0上求x^2+Y^2+2x+3的最大值和最小值.答案是51和11

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数学大侠please help me已知点p(x,y)在圆x^2+y^2-6x-6y+14=0上求x^2+Y^2+2x+3的最大值和最小值.答案是51和11

数学大侠please help me已知点p(x,y)在圆x^2+y^2-6x-6y+14=0上求x^2+Y^2+2x+3的最大值和最小值.答案是51和11
数学大侠please help me
已知点p(x,y)在圆x^2+y^2-6x-6y+14=0上
求x^2+Y^2+2x+3的最大值和最小值.
答案是51和11

数学大侠please help me已知点p(x,y)在圆x^2+y^2-6x-6y+14=0上求x^2+Y^2+2x+3的最大值和最小值.答案是51和11
x^2+Y^2+2x+3=(x+1)^2+Y^2+2
也就是求圆上一点到（-1,0)的最短距离的平方和最长距离平方,结果再加上2,就是最小值和最大值了

将上式配方，移项，开方，再带入下式，使之只含有x或y。这样问题就简化了。

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