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【苏科版】八年级数学下册培优讲义-----重难点模型

  • 2026-03-29 11:24:52
【苏科版】八年级数学下册培优讲义-----重难点模型

【苏科版】八年级数学下册培优讲义-----重难点模型

《八年级数学下册培优讲义》由一线教师编辑，按照重难点知识模型讲解+典型例题+针对练习的模式编辑，包含了本册所有重难点考点，讲出题型本质，学完达到举一反三的能力，从而培养数学思维，拒绝偏难怪。

苏科版中的中位线非常重要，特别是构造的类型，四边形中模型也不少比如正方形中半角模型，旋转模型等。一定要研究明白噢，到了初三就能轻松很多。

如需要看下方详情。

不算答案共150页左右，讲解重难点、模型。例题+适量针对练习

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  1. CONNECT:[ UseTime:0.000476s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001016s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000270s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000292s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000561s ]
  6. SELECT * FROM `set` [ RunTime:0.000227s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000536s ]
  8. SELECT * FROM `article` WHERE `id` = 467897 LIMIT 1 [ RunTime:0.000495s ]
  9. UPDATE `article` SET `lasttime` = 1775448755 WHERE `id` = 467897 [ RunTime:0.000753s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000214s ]
  11. SELECT * FROM `article` WHERE `id` < 467897 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000429s ]
  12. SELECT * FROM `article` WHERE `id` > 467897 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000535s ]
  13. SELECT * FROM `article` WHERE `id` < 467897 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.006054s ]
  14. SELECT * FROM `article` WHERE `id` < 467897 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001026s ]
  15. SELECT * FROM `article` WHERE `id` < 467897 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.012485s ]
0.110133s