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
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- 1. 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?
- 2. 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
- 3. 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______
- 4. The complex numbers corresponding to points a and B in the complex plane are Za = 3 + 2I and ZB = - 2 + 4I respectively?
- 5. In the parallelogram 0abc, the complex numbers corresponding to each point are Zo = 0, Za = 2 + 2 / AI, ZB = - 2A + 3I, ZC = - B + AI (a, B belong to R), and the angle AOC is calculated Calculate AOC size of angle
- 6. 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
- 7. 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,
- 8. Given that I x i + I 3y-8 I + I Z-2 I = 0, find the value of the algebraic formula x + 3Y + Z? Given that I x i + I 3y-8 I + I Z-2 I = 0, find the value of the algebraic formula x + 3Y + Z?
- 9. Given - x + 3Y = 5, then the value of 5 (x-3y) 2-8 (x-3y) - 5 is () A. 80B. -170C. 160D. 60
- 10. |X-6 | + | 3y-8 | + | Z-2 | = 0, find the value of X + 3Y + Z
- 11. 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
- 12. The conjugate complex of complex number (1-2i) ∧ 2 is
- 13. The conjugate complex of complex 2i1 − I is______ .
- 14. 2. What is the conjugate complex number of the complex number 2I / (1-I), the calculation process, thank you ~~
- 15. The real part of complex I is
- 16. Given z = 1 − 2I, then 1z=______ .
- 17. After the coefficient of the first term of the quadratic equation of one variable is exchanged with the constant term, one root of the new equation is twice as much as one root of the original equation, and the other root is the same as the original equation. Please write such an equation, and you'd better tell me the reason,
- 18. Write out a quadratic equation of one variable with one root of 2 and the other root of 1
- 19. Write out a quadratic equation with one variable, so that one root is greater than 1, the other root is less than 1, and the equation with quadratic coefficient of 1 is______ .
- 20. What is the relationship between the root and the coefficient of the equation of degree n of one variable Quadratic equation of one variable Univariate cubic equation . What does it have to do with coefficient