第二節 複數的加法

虛數的加法跟單項式的加法非常相似。請依次填寫下列各題的空格:

\(x + 2x\) \(=\) \(3x\)
\(3y + 4y\) \(=\) \(\; y\)
\(3i + i\) \(=\) \(4i\)
\(2i + 4i\) \(=\) \(\; i\)
\(9i + 5i\) \(=\) \(\; i\)
\(-2i + 4i\) \(=\) \(\; i\)


 

複數的加法跟單項式的加法非常相似。

例如

單項式的加法\((\)\(x\) \( + \) \(y\)\() + (\)\(2x\) \(+ \) \(3y\)\() = (\)\(x + 2x\)\() + (\)\(y + 3y\)\() =\) \(3x\) \(+ \)\(4y\)

複數的加法\((\)\(1\) \( + \) \(i\)\() + (\)\(2\) \(+ \) \(3i\)\() = (\)\(1 + 2\)\() + \, (\)\(i + 3i\)\() = \) \(3\) \(+ \)\(4i\)

請嘗試依次填寫下列各題的空格:

\((x + y) + (2x + 3y)\) \(=\) \(3x+ 4y\)
\((4x) + (5x + 2y)\) \(=\) \(\; x\) + \(\; y\)
\((1 + i) + (2 + 3i)\) \(=\) \(3 + 4i\)
\((6 + 2i) + (1 + 3i)\) \(=\) + \(\; i\)
\((5 + 6i) + (7i)\) \(=\) + \(\; i\)
\((-1 + 2i) + (4 - 5i)\) \(=\) + \(\; i\)


 
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