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考公考编·资料分析 | 基期比重速算技巧

  • 2026-04-03 18:30:40
考公考编·资料分析 | 基期比重速算技巧
1.基础回顾（题型判断及公式）
已知现期A，增长率为a；现期B，增长率为b。
求A与B的基期比重（A/B）*[(1+b）/(1+a)]
2.速算技巧
（1）叠除法/化1法
适用情况：a、b均小于20%，两数越接近，误差越小
公式推演：
技巧：①先求现期比A/B，一般在选项里
②再找b-a，注意顺序
③估算A/B*(b-a)
④求和A/B+A/B*(b-a)
（2）两期比重差反推（陈怀安）
公式推导：
技巧：①先根据选项估算现期比A/B
②看（a-b）的正负：a-b>0，基期比<现期比，比重上升；
a-b<0，基期比>现期比，比重下降
③有时根据比重的升降可直接排除，只剩一个选项；
若还剩多个选项，则观察选项的比重/倍数差，估算两期比重差A/B*[(a-b)/(1+a)]
注意：两期比重差<|a-b|，但两期倍数差不一定。虽然公式相同，但比重（分子部分数永远小于分母整体）倍数（有时分子会是分母的很多倍，以及题干中设问“多多少倍”时结果要-1）有很大区别
（3）平均数思维
公式推导：
技巧：①求现期比值A/B
②计算r均（平均数增长率），一般可用a-b近似代替
③计算基期比重=（A/B）÷（1+r均）
④当r<10%或选项差距大时，可化除为整(A/B)*(1-r均）
总结：
①首先根据选项找到现期比A/B，再判断（a-b）的正负性
a-b>0，比重上升，基期比<现期比
a-b<0，比重下降，基期比>现期比
若能排除3个选项，可直接选
②若不能完全排除选项，且a-b<10%或a-b<20%且选项相聚较大时，三种方法计算思路基本一致
③当a-b>20%或选项接近时，用（A/B）÷（1+r均）截位直除更方便
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  139. /yingpanguazai/ssd/ssd1/www/d.sjds.net/runtime/temp/e33eebd30736cd52a48f85b61848d5aa.php ( 12.06 KB )
  140. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000654s ] mysql:host=127.0.0.1;port=3306;dbname=d_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000814s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000305s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000288s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000488s ]
  6. SELECT * FROM `set` [ RunTime:0.000236s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000625s ]
  8. SELECT * FROM `article` WHERE `id` = 458986 LIMIT 1 [ RunTime:0.000431s ]
  9. UPDATE `article` SET `lasttime` = 1775304944 WHERE `id` = 458986 [ RunTime:0.002260s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000257s ]
  11. SELECT * FROM `article` WHERE `id` < 458986 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000433s ]
  12. SELECT * FROM `article` WHERE `id` > 458986 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000406s ]
  13. SELECT * FROM `article` WHERE `id` < 458986 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001923s ]
  14. SELECT * FROM `article` WHERE `id` < 458986 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001042s ]
  15. SELECT * FROM `article` WHERE `id` < 458986 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001126s ]
0.132968s