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What are complex numbers, pure imaginary numbers and conjugate complex numbers in high school mathematics?
Complex number is real number+imaginary number.

Hybrid * * * storage

For example, the complex number refers to the number a+bi, which can be written in the following form, where A and B are real numbers and I is imaginary unit (i.e.-1 root).

Or numbers like z=a+bi are called complex numbers, where I is designated as imaginary unit and I 2 = I× I =-1(A and B are arbitrary real numbers) A.

Is the real part of z, and b is the imaginary part of z.

Pure imaginary number: when the real part is 0, the only imaginary part is pure imaginary number. For example, when a=0, b≠0 and z=bi, we call it pure imaginary number.

* * * yoke complex number: for the complex number z=a+bi, call the complex number z'=a-bi the complex number of z * * * yoke, that is, the two real parts are equal, and the imaginary part (imaginary part is not equal to 0) is the complex number of * * * yoke. The complex number of the * * yoke of the complex number z is denoted as zˊ. The expression method is to add a line of sight above the letter Z, that is, the * * * yoke symbol.

Such as: ︱x+yi︱=︱x-yi︱.

This is not the same as real number calculation.