Given | x + Yi | = 2 (x, y ∈ R), in the complex plane, find the set of points representing complex x + Yi Seek detailed process

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• 1. If the complex z = (m-1) / 3 - (m-2) I (m ∈ R), its corresponding point on the complex plane is Z, then the shortest distance from point (1,2) on the complex plane to point Z is? The answer is = 2 √ 10 / 5
• 2. If the complex number Z is on the circle | Z | = 2, then it is proved that: | 1 / (Z ^ 4-4z ^ 2 + 3)|
• 3. If the conjugate complex number of Z + Z = 4 and the conjugate complex number of Z * z = 8, then the conjugate complex number of Z / Z is equal to? Detailed point answer, thank you
• 4. Given the complex number Z = 2 − 2i1 + I, then the conjugate complex number of Z is equal to () A. 2iB. -2iC. iD. -i
• 5. The conjugate complex of complex number 2 + i1-2i is______ ．
• 6. In the range of complex number, the square of a number is equal to the conjugate complex number of the number. How many such numbers are written separately
• 7. Mathematical problem solving, complex number Given z = (2m square + 3m-2) + (m square + m-2) I (M belongs to R) When z = 0, find the value of M
• 8. Let the vertices of a polygon be in the form of 1 + Z + Z2 +..., in the complex plane +The point of ZK-1 and; where | Z|
• 9. A mathematical problem on the complex number! If the complex number Z1 satisfies Z1 = I (2-z1) (I is an imaginary unit), if | Z | = 1, find the maximum value of | z-z1 |
• 10. How can z = a * cost + IB * Sint (a, B are real constants) be expressed as a rectangular coordinate equation? By the way, let me talk about the relationship between complex equation and rectangular equation
• 11. If the point corresponding to the complex z = (m-1) + (M & # 178; - 4) I (m ∈ R) in the complex plane is in the fourth quadrant, then M is in the range
• 12. Given the third quadrant of the point corresponding to the complex number Z = m (1 + I) - M 2 (4 + I) - 6I in the complex plane, the range of real number m is obtained
• 13. Complex z = (square of a-2a + 3) - (square of A-A + 1 / 2) I (a belongs to R) in which quadrant is the corresponding point in the complex plane
• 14. There are several roots of the equation 1-z Λ 4 = 0 in the complex range
• 15. The complex Z satisfying the equation Z2 + | Z | = 0 has () A. 1 B. 2 C. 3 d. countless
• 16. Solving complex equation: Z │ Z │ + AZ + I = 0 (a > = 0)
• 17. In the complex set C, the solution of the equation | x | + x = 1 + 3I is
• 18. In the complex range, the solution of the equation x ^ 2 + x-1-3i = 0 is?
• 19. Let f (z) = x ^ 2 + I * y ^ 2, then f '(1 + I) = result is 2. How to do it? Another problem is in the complex range, the number of roots of the equation Z ^ 3 + | Z | = 0? Let f (z) = x ^ 2 + I * y ^ 2, then f '(1 + I) = the result is 2. How do you do that? Another problem is that in the complex range, how many roots of the equation Z ^ 3 + | Z | = 0? The answer to the second question is four roots. I'm very tangled
• 20. Solve the complex equation Z ^ 3 = I,