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In the complex plane, set points a, B and C, and the corresponding complex numbers are I, 1, 4 + 2I respectively. Make a parallelogram ABCD through a, B and C. find the coordinates of point D and the length of the diagonal BD of the parallelogram
Because the diagonals of parallelogram are equally divided, the four vertices of parallelogram ABCD satisfy that the sum of two vertices AC is equal to the sum of two vertices CD, that is, I + 4 + 2I = 1 + Z, so z = 3 + 3I, then | BD | = | 3 + 3i-1 | = | 2 + 3I | = 13
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- 1. In the complex plane, set a point A.B.C, and the corresponding complex numbers are I, 1, 4 + 2I respectively. Through a, B, C, make the parallelogram ABCD, and find the length of the diagonal BD of the parallelogram
- 2. The complex numbers corresponding to points a, B and C in the complex plane are I, I, 4 + 2I respectively. If a - > b - > C - > D is parallelogram ABCD in anticlockwise order, then | BD | is equal to?
- 3. It is known that the complex numbers of vertices a and B of isosceles trapezoid oabc on the complex plane are 1 + 2I and - 2 + 6I respectively, and O is the origin of coordinates, OA ‖ BC. Find the complex number Z corresponding to vertex C
- 4. In the complex plane, the complex numbers corresponding to the vertices O and B of the rectangular oabc are 0 and √ 2 (1 + I) respectively And │ OA │ = √ 3, │ OC │ = 1, then the complex numbers corresponding to a and C are______
- 5. The complex numbers corresponding to points a and B in the complex plane are Za = 3 + 2I and ZB = - 2 + 4I respectively?
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- 7. It is known that the complex number Z satisfies | Z | = 2, and the imaginary part of Z2 is 2. (I) find Z; (II) let the corresponding points of Z, Z2, z-z2 in the complex plane be a, B, C respectively, and find the area of △ ABC
- 8. In the one star three wire circuit, Za = ZB = ZC = 100 Ω, the line voltage is 380V, and now Za is open circuit. Try to find the effective value of current flowing through ZB and ZC at this time Ask for answers that you can do,
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- 11. The conjugate complex of complex number (1-2i) ∧ 2 is
- 12. The conjugate complex of complex 2i1 − I is______ ．
- 13. 2. What is the conjugate complex number of the complex number 2I / (1-I), the calculation process, thank you ~~
- 14. The real part of complex I is
- 15. Given z = 1 − 2I, then 1z=______ ．
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