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【人教版】八年级数学上学期培优讲义

  • 2026-04-19 21:03:59
【人教版】八年级数学上学期培优讲义

八年级数学培优讲义介绍

每章专题专项，高效率，针对性强，覆盖八年级上册所有重难点内容

几何模型难点突破，倍长中线、手拉手、半角模型、截长补短、因式分解各种、分式方程增根无解···等等，难点突破大招讲解+例题+练习。

更多题型和练习题在书里哦

以上出自《八年级数学培优讲义》

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  138. /yingpanguazai/ssd/ssd1/www/a.sjds.net/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/a.sjds.net/runtime/temp/97cad012e8e159aae2fe347a411e8351.php ( 12.06 KB )
  140. /yingpanguazai/ssd/ssd1/www/a.sjds.net/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000505s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000801s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000345s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000270s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000514s ]
  6. SELECT * FROM `set` [ RunTime:0.000191s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000599s ]
  8. SELECT * FROM `article` WHERE `id` = 460183 LIMIT 1 [ RunTime:0.000439s ]
  9. UPDATE `article` SET `lasttime` = 1777190800 WHERE `id` = 460183 [ RunTime:0.018128s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000347s ]
  11. SELECT * FROM `article` WHERE `id` < 460183 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000447s ]
  12. SELECT * FROM `article` WHERE `id` > 460183 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001116s ]
  13. SELECT * FROM `article` WHERE `id` < 460183 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002397s ]
  14. SELECT * FROM `article` WHERE `id` < 460183 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000771s ]
  15. SELECT * FROM `article` WHERE `id` < 460183 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001842s ]
0.099824s