当前位置：首页>小学教材>2026小学数学从课本到奥数培优讲义思维提升类4-6年级上下册(人教版+北师大版)

2026小学数学从课本到奥数培优讲义思维提升类4-6年级上下册(人教版+北师大版)

  • 2026-04-04 10:49:28
2026小学数学从课本到奥数培优讲义思维提升类4-6年级上下册(人教版+北师大版)

2026小学数学从课本到奥数培优讲义思维提升类4-6年级上下册（人教版+北师大版）全word无水印，可编辑可打印，教师版、学生版齐全，教师版为分讲PDF带解析，学生版为合订版word空白版只有题目。先给出课内同步题目，再给出奥数拓展题目，实现从课本到奥数的培优。该讲义没有知识点，有题型，适合优等生使用。其中空白讲义配精美封面/合订/配目录，可以直接打印使用。

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  1. CONNECT:[ UseTime:0.000364s ] mysql:host=127.0.0.1;port=3306;dbname=c_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000764s ]
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  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000547s ]
  6. SELECT * FROM `set` [ RunTime:0.000278s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000637s ]
  8. SELECT * FROM `article` WHERE `id` = 464816 LIMIT 1 [ RunTime:0.002488s ]
  9. UPDATE `article` SET `lasttime` = 1775538574 WHERE `id` = 464816 [ RunTime:0.014648s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000293s ]
  11. SELECT * FROM `article` WHERE `id` < 464816 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000503s ]
  12. SELECT * FROM `article` WHERE `id` > 464816 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000402s ]
  13. SELECT * FROM `article` WHERE `id` < 464816 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000638s ]
  14. SELECT * FROM `article` WHERE `id` < 464816 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.005118s ]
  15. SELECT * FROM `article` WHERE `id` < 464816 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.021347s ]
0.115775s