gaokao 2010 Q4

gaokao · China · shanghai-arts Complex Numbers Arithmetic Complex Division/Multiplication Simplification

4. If the complex number $z = 1 - 2 i$ ($i$ is the imaginary unit), then $z \cdot \bar { z } + z =$ $\_\_\_\_$ .

(5 points) The equation of the tangent line to the curve $y = x ^ { 3 } - 2 x + 1$ at the point $(1,0)$ is

4. If the complex number $z = 1 - 2 i$ ($i$ is the imaginary unit), then $z \cdot \bar { z } + z =$ $\_\_\_\_$ .