If the complex Z satisfies iz + II + iz II = 2, find the maximum and minimum of iz + 1 + II

If the complex Z satisfies iz + II + iz II = 2, find the maximum and minimum of iz + 1 + II

The sum of the distances from the point Z corresponding to the complex Z to (0,1) and (0, - 1) is 2
The Z falls on the line segment with the point corresponding to the complex number I and - I as the endpoint
The problem of maximum and minimum distance from a point on a line segment to (- 1, - 1) is represented by | Z + 1 + I | = | Z - (- 1-I) |
Draw the image, it is easy to get the maximum value of √ 5, the minimum value of 1