已知点M在圆C:x²+y²-4x-14y+45=0上,定点Q(-2,3).(1)求|MQ|的Max值和Min值.(2)记M的坐标是(m,n),求(n-3)/(m+2)的Max值和Min值.
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![已知点M在圆C:x²+y²-4x-14y+45=0上,定点Q(-2,3).(1)求|MQ|的Max值和Min值.(2)记M的坐标是(m,n),求(n-3)/(m+2)的Max值和Min值.](/uploads/image/z/11465748-36-8.jpg?t=%E5%B7%B2%E7%9F%A5%E7%82%B9M%E5%9C%A8%E5%9C%86C%EF%BC%9Ax%26%23178%3B%2By%26%23178%3B-4x-14y%2B45%3D0%E4%B8%8A%2C%E5%AE%9A%E7%82%B9Q%28-2%2C3%29.%EF%BC%881%EF%BC%89%E6%B1%82%EF%BD%9CMQ%EF%BD%9C%E7%9A%84Max%E5%80%BC%E5%92%8CMin%E5%80%BC.%EF%BC%882%EF%BC%89%E8%AE%B0M%E7%9A%84%E5%9D%90%E6%A0%87%E6%98%AF%28m%2Cn%29%2C%E6%B1%82%28n-3%29%2F%28m%2B2%29%E7%9A%84Max%E5%80%BC%E5%92%8CMin%E5%80%BC.)
已知点M在圆C:x²+y²-4x-14y+45=0上,定点Q(-2,3).(1)求|MQ|的Max值和Min值.(2)记M的坐标是(m,n),求(n-3)/(m+2)的Max值和Min值.
已知点M在圆C:x²+y²-4x-14y+45=0上,定点Q(-2,3).
(1)求|MQ|的Max值和Min值.
(2)记M的坐标是(m,n),求(n-3)/(m+2)的Max值和Min值.
已知点M在圆C:x²+y²-4x-14y+45=0上,定点Q(-2,3).(1)求|MQ|的Max值和Min值.(2)记M的坐标是(m,n),求(n-3)/(m+2)的Max值和Min值.
确定不会写错?不是-4y?
(1):x^2-4x+4-4+y^2-14y+49-49+45=(x-2)^2+(y-7)^2=8,圆心(2,7)到Q的距离是4倍根号2。Max=6倍根号2,Min=2倍根号2. (2):(n-3)/(m+2)即过点M与Q的直线的斜率。