Given that m (x, y) is any point on the circle x ^ 2 + y ^ 2 = 1, find the value range of Y / (x + 2) This problem appears in the section of standard equation of circle. Thank you here

Given that m (x, y) is any point on the circle x ^ 2 + y ^ 2 = 1, find the value range of Y / (x + 2) This problem appears in the section of standard equation of circle. Thank you here

It is easy to know that the meaning of the formula Y / (x + 2) is to connect the fixed point n (- 2,0) and a point m (x, y) on the circle x ^ 2 + y ^ 2 = 1 to obtain the slope k of the straight line Mn. By combining numbers and figures, we know that when the straight line is tangent to the unit circle, the slope of the straight line is the largest or the smallest. At this time, it is easy to obtain kmax = (√ 3) / 3, Kmin = - (√ 3) / 3. Therefore, the value range of the formula Y / (x + 2) is [- (√ 3) / 3, (√ 3) / 3]

Given point P (2,2), circle C: x ^ 2 + y ^ 2-8y = 0, the moving line L passing through P intersects circle C at two points a and B, the midpoint of line AB is m, and O is the origin of coordinates
1. Find the M trajectory equation,