Multiple choice questions on the concept of complex number The elements in the complex set correspond to the elements in the set of all vectors in the complex plane ---------If this judgment is correct, please explain the reason

Multiple choice questions on the concept of complex number The elements in the complex set correspond to the elements in the set of all vectors in the complex plane ---------If this judgment is correct, please explain the reason

correct
Complex plane, also called complex plane
The point on the horizontal axis of the complex plane corresponds to all real numbers, and the point on the vertical axis (except the origin) corresponds to all pure imaginary numbers
Complex z = a + bi when real numbers take different values for a and B, all complex numbers can be represented

Extension of number system and judgment of the concept of complex number
The following two propositions are wrong ()
(A) The necessary and sufficient condition of X + Yi = 1 + I is x = y = 1
(B) If a corresponds to AI, then the real number set corresponds to the imaginary number set one by one
-------Please explain the reason

This problem can be solved by elimination
You should choose B
In a, according to the principle of real part to real part and imaginary part to imaginary part, we can deduce x = y = 1
When x = y = 1, we can deduce x + Yi = 1 + I
So the necessary and sufficient condition of X + Yi = 1 + I is that x = y = 1
And B, because the real number and the imaginary number can't correspond, the correspondence can only be a = 0,
I'm not sure about option B. I can only help you so much