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失传的武汉大学2026高等代数考研真题一枚!~

  • 2026-04-28 11:56:54
失传的武汉大学2026高等代数考研真题一枚!~

在2026考研中, 我们课程不完全统计超过30人上岸985，(可以参考前段时间公众号分享的报喜.)

题目

设满足. 证明:.

分析

本题是武汉大学26高代考研真题, 失传很久了. 因为多位课程学员上岸武汉大学才勉强回忆出来. 解决本题核心是一个冷门知识点, 绝对值不等式取等条件.

1

小派，公众号：清疏数学专业研考容易忽视的绝对值不等式取等条件.

证明

设的特征值为. 则由条件得

由绝对值不等式取等条件得有相同的幅角, 从而只能全部相同, 因此

而有零化多项式, 因此极小多项式可以分解为一次式的积, 所以可相似对角化. 又因为和数量矩阵相似的矩阵只能是数量矩阵, 所以.

我们为你大学生数学竞赛进决赛,考研数学上岸兜底!
  • 十年培养上千名学员考研上岸, 数百名大学生数学竞赛国一. 诞生二十多位考研竞赛老师.

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  1. CONNECT:[ UseTime:0.000509s ] mysql:host=127.0.0.1;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000602s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000357s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000302s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000665s ]
  6. SELECT * FROM `set` [ RunTime:0.000249s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000745s ]
  8. SELECT * FROM `article` WHERE `id` = 485109 LIMIT 1 [ RunTime:0.000451s ]
  9. UPDATE `article` SET `lasttime` = 1777430639 WHERE `id` = 485109 [ RunTime:0.004868s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000326s ]
  11. SELECT * FROM `article` WHERE `id` < 485109 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000566s ]
  12. SELECT * FROM `article` WHERE `id` > 485109 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000484s ]
  13. SELECT * FROM `article` WHERE `id` < 485109 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.004399s ]
  14. SELECT * FROM `article` WHERE `id` < 485109 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000581s ]
  15. SELECT * FROM `article` WHERE `id` < 485109 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001163s ]
0.113515s