数学题求助

灌水区

Water__Problem @ 2025-01-12 17:05:39

万能的洛民，求助

设z为复数，求|z^2-4z+9|+|z^2+4z+9|的最小值

by Water__Problem @ 2025-01-12 17:06:31

必关

by wdsj0yqqs @ 2025-01-12 17:15:46

@Water__Problem

34？

by Dream_XuQing @ 2025-01-12 17:16:02

@Water__Problem最小值是18？

by SPFA__ @ 2025-01-12 17:22:21

@zhangli828 哥 (z-2)^2 可以是负的

by _Dolphin_ @ 2025-01-12 17:24:33

@zhangli828 当实数算的是吧

by SPFA__ @ 2025-01-12 17:24:49

比如 z=2+i

by _Dolphin_ @ 2025-01-12 17:26:05

by Felix_gsk @ 2025-01-12 17:26:50

2.25i

by SPFA__ @ 2025-01-12 17:27:57

@Dolphin这个结论本来就是用实数条件推出来的

用绝对值不等式试试

by SPFA__ @ 2025-01-12 17:29:58

@zhangli828哥你前面那个拆绝对值是实数条件下吧

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