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全国独一档!-2026同济大学数学分析考研真题全是泛函分析?

  • 2026-10-29 00:17:34
全国独一档!-2026同济大学数学分析考研真题全是泛函分析?

完整题目见文末

今日题目来自2026同济大学数学分析, 本卷一堆非常规数学分析内容.

题目

设是()映射. 证明:若

则存在邻域和使得

证明

因为, 所以由反函数定理得邻域使得是到凸开集的微分同胚且

现在对由拟微分中值定理得

于是取为所求.

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2025北京海淀初一下册期末数学试卷

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  1. CONNECT:[ UseTime:0.000775s ] mysql:host=172.18.0.4;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001011s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000540s ]
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  6. SELECT * FROM `set` [ RunTime:0.000428s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000956s ]
  8. SELECT * FROM `article` WHERE `id` = 469981 LIMIT 1 [ RunTime:0.000466s ]
  9. UPDATE `article` SET `lasttime` = 1793238156 WHERE `id` = 469981 [ RunTime:0.001559s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000366s ]
  11. SELECT * FROM `article` WHERE `id` < 469981 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000464s ]
  12. SELECT * FROM `article` WHERE `id` > 469981 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000410s ]
  13. SELECT * FROM `article` WHERE `id` < 469981 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000597s ]
  14. SELECT * FROM `article` WHERE `id` < 469981 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000596s ]
  15. SELECT * FROM `article` WHERE `id` < 469981 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000681s ]
0.106178s