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已知复数Z的模=2, 求复数1+根号3 i+Z的模的最大值和最小值
人气:189 ℃ 时间:2020-04-11 06:17:34
解答
|1+√3i|-|z|≤|1+√3i+z|≤|1+√3i|+|z|
即0≤|1+√3i+z|≤4
当z=-(1+√3i)时,|1+√3i+z|取最小值
当z=1+√3i 时,|1+√3i+z|取最大值
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