Mathematics
Senior High
１番の解説一行目、「絶対値zはルート2だから」とありますが、なぜですか？
KEIPI
14 共役な複素数
(1) z=1+iのとき, 2zを極形式で表せ.
2つの複素数 α, β について,
(2)
|a|=|B|=1のとき, |α+B|=|12/2+1/31 を示せ。
(解ⅡI)
|z|=√2
だから,
1
2 = √ 2 ( √/ 2₂2² + + √/₁2/²) = √
√2)=√2 2 (cos 45°+isin 45°)
: 22=2√2 {cos (-45°)+isin (-45°)}
= 2√√/2 (cos 315º+isin315°)
2
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