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【北师大版】八年级数学下册培优讲义--重难点模型例题练习

  • 2026-10-30 11:30:34
【北师大版】八年级数学下册培优讲义--重难点模型例题练习
【北师大版】八年级数学下册培优讲义-----

《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。

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初中数学培优讲义点击下方链接直达

【北师大版】七年级数学下册培优讲义-----新书介绍

【北师大版】七年级数学上册培优讲义-----重难点模型

【北师大版】八年级数学上册培优讲义-----重难点模型

【人教版】八年级数学下册培优讲义-----重难点模型

【人教版】七年级数学下学期培优----- 一线编辑，重难点模型例题练习

【人教版】七年级数学上学期培优
【人教版】八年级数学上学期培优 

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  1. CONNECT:[ UseTime:0.000666s ] mysql:host=172.18.0.4;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000946s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000465s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000372s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000610s ]
  6. SELECT * FROM `set` [ RunTime:0.000270s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000739s ]
  8. SELECT * FROM `article` WHERE `id` = 460575 LIMIT 1 [ RunTime:0.000421s ]
  9. UPDATE `article` SET `lasttime` = 1794143447 WHERE `id` = 460575 [ RunTime:0.001404s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000293s ]
  11. SELECT * FROM `article` WHERE `id` < 460575 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000408s ]
  12. SELECT * FROM `article` WHERE `id` > 460575 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000355s ]
  13. SELECT * FROM `article` WHERE `id` < 460575 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000620s ]
  14. SELECT * FROM `article` WHERE `id` < 460575 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000691s ]
  15. SELECT * FROM `article` WHERE `id` < 460575 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000855s ]
0.100100s