![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
If | Z-1 | = 1, try to explain the locus of the point corresponding to the complex Z
Let complex number = x + Yi
If | Z-1 | = 1
(x-1)²+y²=1
The locus of the point corresponding to complex Z is a circle with radius 1 and center (1,0)
Let the conjugate complex number of Z be Z, if Z + Z = 4, Z * z = 8, find Z / Z
Let z = a + bi, z = a-bi
∵z+Z=2a=4∴a=2
∵z*Z=a^2+b^2=8∴b^2=4,b=±2
① When z = 2 + 2I, z = 2-2i
Z/z=（1-i）/(1+i)=-i
② When z = 2-2i, z = 2 + 2I
Z/z=(1+i)/(1-i)=i
Finally, Z / z = ± I
Let the conjugate complex number of Z be. Z, if Z +. Z = 4, Z ·. Z = 8, then. ZZ equals ()
A. iB. -iC. ±1D. ±i
Let z = 2 + bi, from Z ·. Z = 8 get 4 + B2 = 8, B = ± 2.. ZZ =. Z28 = (2 ± 2I) 28 = ± I. choose D
RELATED INFORMATIONS
- 1. The module of Z = 1-I is equal to____ The main value of the angle is____ Its conjugate complex number is___
- 2. What is the complex number conjugate with itself? What is the complex number conjugate with its square?
- 3. If the complex number sequence {an} satisfies A1 = 0, an = [a (subscript) n-1] ^ 2 + I (n > = 2, I is an imaginary unit), then the sum of its first 2007 terms is Detailed process
- 4. Let A0 + A1 / 2 +... + an / (n + 1) = 0, and prove that the polynomial f (x) = A0 + a1x +... + anx ^ n has at least one zero point in (0,1)
- 5. Polynomial f (x) = A0 + a1x + a2x ^ 2 +... + anx ^ n, it is proved that f (x) = 0 has n + 1 different roots, then f (x) is equal to 0
- 6. Given that a, B and C are the roots of the equation x ^ 3 + PX + q = 0, find a + B + C =?, and give the process and theoretical basis, It seems to have something to do with Veda's theorem, but I don't know how to use it But the answer is 0,
- 7. Can Newton's iterative method be used to find all roots of equation of degree n with one variable For example, for a cubic equation with one variable, if the three roots are different, only one real root can be found by Newton iteration method. How can the other two roots be found? If there are complex roots, can we find them? But the iterative method is to find the numerical solution, and sometimes the equation is transcendental equation, can not do polynomial division.
- 8. Write out a quadratic equation of one variable with one root of 1 and the other root of 27
- 9. The real part and imaginary part of complex number (3 + I) / (2i-1) are_______________ ；_________________ .
- 10. What is the high flame retardant tape for wires and cables? How to use it? What are the structures of ZA, ZB and ZC flame retardant parts?
- 11. Given that in the complex plane, the moving point Z corresponds to the complex z = x + Yi, then what graph is the set of points Z satisfying the equation Z ˉ 2 = 1
- 12. In the complex plane, which quadrant is the point corresponding to complex number (1-I) / I?
- 13. If x ∈ C, then the solution of the equation | x | = 1 + 3i-x is
- 14. How to solve the complex equation Z ^ 2 + | Z | = 0? How to calculate a solution I, a solution 0 and a solution - I?
- 15. Given the complex number Z = 1-I, then Z2 − 2zz − 1=______ ．
- 16. Given the complex Z0 = 3 + 2I, the complex Z satisfies Z · Z0 = 3Z + Z0, then z = 1___ ．
- 17. arg(-1)=?
- 18. What does Arg mean in mathematics? mathematics
- 19. The singular and plural cases of "neither" and "neither of" followed by the predicate For example, neither of them____ (IS/ARE) AT HOME I also want to ask the singular and plural of none; none of
- 20. Each, either, other, both, neither, every, any, another, all, none Please write one by one