溫習筆記 - 數學 - 數與代數 - 複數 -
2011SP-II-34
答案：A
$\begin{array}{cl}
& 4k-\dfrac{6+ki}{i} \\
= &
… Read $\begin{array}{cl}
& 4k-\dfrac{6+ki}{i} \\
= &
2012-II-35
答案：A
$\begin{array}{cl}
& i^3(\beta i-3) \\
= &
… Read $\begin{array}{cl}
& i^3(\beta i-3) \\
= &
2012PP-I-17
答案：(a) $\dfrac{1}{5}-\dfrac{2}{5}i$ (b) (i) $p=-4$, $q=
… Read 2012PP-II-34
答案：D
$\begin{array}{cl}
& (x+3i)(3+i) \\
= & 3x
… Read $\begin{array}{cl}
& (x+3i)(3+i) \\
= & 3x
2013-II-36
答案：A
$\begin{array}{cl}
& i + 2i^2+3i^3+4i^4 \\
= �
… Read $\begin{array}{cl}
& i + 2i^2+3i^3+4i^4 \\
= �
2014-II-36
答案：A
$\begin{array}{cl}
& \dfrac{\beta^2 + 4}{\bet
… Read $\begin{array}{cl}
& \dfrac{\beta^2 + 4}{\bet
2015-II-35
答案：C
$\begin{array}{rcl}
z & = & (a+5)i^6 + (a-3
… Read $\begin{array}{rcl}
z & = & (a+5)i^6 + (a-3
2016-II-34
答案：B
I 不一定正確。設 $a=\pi$，留意這是一個實數。由此可得
… Read I 不一定正確。設 $a=\pi$，留意這是一個實數。由此可得
$\begin{array}{rc
2017-II-35
答案：B
$\begin{array}{rcl}
\dfrac{5}{2-i} + ki & = �
… Read $\begin{array}{rcl}
\dfrac{5}{2-i} + ki & = �
2018-II-37
答案：D
$\begin{array}{cl}
& \dfrac{2i^{12} + 3i^{13}
… Read $\begin{array}{cl}
& \dfrac{2i^{12} + 3i^{13}
2019-II-34
答案：D
$\begin{array}{cl}
& \dfrac{4 +i^5}{a + i} R
… Read $\begin{array}{cl}
& \dfrac{4 +i^5}{a + i} R
2020-II-37
答案：C
$\begin{array}{cl}
& z_1 \\
= & \dfrac{2+k
… Read $\begin{array}{cl}
& z_1 \\
= & \dfrac{2+k
2021-II-35
答案：A
… Read I 必為正確。對於任何實數 $\alpha$，
$\begin{array}{cl}
& u
2022-II-35
答案：B
… Read $\begin{array}{rcl}
z & = & 4+5i^{10}-ki^
2023-II-34
答案：B
… Read $\begin{array}{cl}
& \dfrac{i}{k-i}+\dfrac{