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深圳中考数学高分密码系列4第四讲 分式方程

  • 2026-04-18 21:09:37
深圳中考数学高分密码系列4第四讲 分式方程

     距离深圳中考越来越近,数学复习时间紧、任务重。
      基础不牢,后面寸步难行;压轴题拿不下,高分就难保。

       给大家推荐两套专门针对深圳中考数学的电子学习资源,一套夯基础,一套攻高分,全部围绕深圳考情编写,适合初三学生课外高效复习。

第四 分式方程

深圳中考数学考向解读

深圳中考数学对“分式方程”是以应用题列分式方程和解分式方程进行考查

1.题型特点:近六年中,2023年与2025年以选择题形式出现,分值为3分,难度较低;而2022年则以解答题形式呈现,分值为8分,难度中等。

2.考点分布:小题主要以考查应用题列分式方程为主要考查内容,解答题则在第一问中需要列分式方程和解方程,第二问则和不等式结合进行考查。

复习建议:在中考复习中,建议在掌握列分式方程与解方程基本方法的基础上,重点关注新情境下的问题理解与信息处理能力,以应对更加灵活的命题形式。

深圳中考真题演示

从近年深圳中考数学试题来看,列分式方程与应用题相结合是稳定的考查方向,其考查方式与一次方程有一定相似性。

在近两年的中考中,均设置了有关分式方程的实际应用问题。其中,选择题侧重考查根据题意列分式方程,而解答题则进一步将分式方程与不等式相结合,考查学生在实际问题中的综合建模与解题能力。

深圳三年模考训练

重点题型一 应用题列分式方程

重点题型二 解分式方程

分式方程的解法①将分式方程化成整式方程(去分母,即等号两边同乘以最简公分母);②解整式方程(去括号;移项;合并同类项;系数化为1或其它解法);③检验:将所得的根代入最简公分母,若等于零,就是增根,应该舍去;若不等于零,就是原方程的根。

易错提醒:1解分式方程过程中,易错点有:去分母时要把方程两边的式子作为一个整体,记得不要漏乘整式项;忘记验根,最后的结果还要代回方程的最简公分母中,只有最简公分母不是零的解才是原方程的解

重点题型三 列方式方程解应用题

重点题型四 列分式方程解应用题(新型问题)

   《深圳中考数学密码》是一个专辑,后面会陆续发布,以上内容为专门针对深圳中考数学编撰的适合所有学学生课外复习中使用,鉴于篇幅限制,训练内容只选择了很小的部分进行展示。

     家长如果感兴趣,可以加入微信联系。

     为帮助深圳考生精准攻克数学难点,梳理中考命题规律,扫描下方二维码可获取更多深圳中考数学专项复习资料、真题解析

有任何数学复习相关问题,均可添加咨询。

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  1. CONNECT:[ UseTime:0.001128s ] mysql:host=127.0.0.1;port=3306;dbname=c460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.002287s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.001011s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000711s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001604s ]
  6. SELECT * FROM `set` [ RunTime:0.000706s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001803s ]
  8. SELECT * FROM `article` WHERE `id` = 551415 LIMIT 1 [ RunTime:0.010282s ]
  9. UPDATE `article` SET `lasttime` = 1777141354 WHERE `id` = 551415 [ RunTime:0.010791s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.002629s ]
  11. SELECT * FROM `article` WHERE `id` < 551415 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.019830s ]
  12. SELECT * FROM `article` WHERE `id` > 551415 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000590s ]
  13. SELECT * FROM `article` WHERE `id` < 551415 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.004079s ]
  14. SELECT * FROM `article` WHERE `id` < 551415 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002291s ]
  15. SELECT * FROM `article` WHERE `id` < 551415 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002339s ]
0.141548s