跳到内容
当前位置:首页>考研真题>小学数学思维训练|盈亏问题专项练习题(含完整答案)

小学数学思维训练|盈亏问题专项练习题(含完整答案)

  • 2026-11-11 10:49:50
小学数学思维训练|盈亏问题专项练习题(含完整答案)
盈亏问题是小学思维应用题,很多孩子容易混淆!
今天把 一盈一亏、双盈、双亏 三类题型整理齐全,题型经典、难度适中,家长可以直接保存给孩子练习、核对答案。
盈亏小口诀(孩子必记)
✅ 一盈一亏:(盈+亏)÷分配差=人数
✅ 两次都盈:(大盈−小盈)÷分配差=人数
✅ 两次都亏:(大亏−小亏)÷分配差=人数
一、一盈一亏题型
第1题
老师分糖果,每人分4颗,多6颗;每人分6颗,少4颗。
分配差:6−4=2(颗)
人数:(6+4)÷2=5(人)
糖果总数:5×4+6=26(颗)
答:有5个小朋友,一共有26颗糖果。
第2题
把一些铅笔分给同学,每人分3支,多8支;每人分5支,少2支。
分配差:5−3=2(支)
人数:(8+2)÷2=5(人)
铅笔总数:5×3+8=23(支)
答:有5位同学,一共有23支铅笔。
第3题
班长分本子,每人分5本,多7本;每人分7本,少3本。
分配差:7−5=2(本)
人数:(7+3)÷2=5(人)
本子总数:5×5+7=32(本)
答:小组有5人,一共有32本本子。
第4题
同学们排队划船,每条船坐4人,多5人;每条船坐6人,少3人。
分配差:6−4=2(人)
船数:(5+3)÷2=4(条)
总人数:4×4+5=21(人)
答:有4条船,一共有21名同学。
二、双盈题型(两次都多)
第5题
分苹果,每人分4个,多9个;每人分6个,多1个。
分配差:6−4=2(个)
人数:(9−1)÷2=4(人)
苹果总数:4×4+9=25(个)
答:有4个小朋友,一共有25个苹果。
第6题
分巧克力,每人分2块,多12块;每人分4块,多2块。
分配差:4−2=2(块)
人数:(12−2)÷2=5(人)
巧克力总数:5×2+12=22(块)
答:有5人,一共有22块巧克力。
三、双亏题型(两次都不够)
第7题
分绘本,每人分5本,少6本;每人分7本,少16本。
分配差:7−5=2(本)
人数:(16−6)÷2=5(人)
绘本总数:5×5−6=19(本)
答:有5名同学,一共有19本绘本。
第8题
分彩笔,每人分4支,少5支;每人分6支,少15支。
分配差:6−4=2(支)
人数:(15−5)÷2=5(人)
彩笔总数:5×4−5=15(支)
答:有5名学生,一共有15支彩笔。
学习小结
盈亏问题不用死背公式,掌握核心逻辑:
多的、少的差距,就是因为「每人多分了一点」!
多练几套,孩子做题又快又准,考试不丢分。
💡 需要更多小学思维专项、单元重难点,可以持续关注更新!
做完这套题,欢迎在评论区说说孩子卡在哪一类题型上!
基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-11-11 14:56:24 HTTP/1.1 GET : http://www.sjds.net/a/544628.html
  2. 运行时间 : 0.092687s [ 吞吐率:10.79req/s ] 内存消耗:4,413.83kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=f776ccf0d573538cfe2189a3a0739d01
  1. /www/wwwroot/www.sjds.net/public/index.php ( 0.79 KB )
  2. /www/wwwroot/www.sjds.net/vendor/autoload.php ( 0.17 KB )
  3. /www/wwwroot/www.sjds.net/vendor/composer/autoload_real.php ( 2.49 KB )
  4. /www/wwwroot/www.sjds.net/vendor/composer/platform_check.php ( 0.90 KB )
  5. /www/wwwroot/www.sjds.net/vendor/composer/ClassLoader.php ( 14.03 KB )
  6. /www/wwwroot/www.sjds.net/vendor/composer/autoload_static.php ( 4.90 KB )
  7. /www/wwwroot/www.sjds.net/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /www/wwwroot/www.sjds.net/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /www/wwwroot/www.sjds.net/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /www/wwwroot/www.sjds.net/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /www/wwwroot/www.sjds.net/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /www/wwwroot/www.sjds.net/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /www/wwwroot/www.sjds.net/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /www/wwwroot/www.sjds.net/vendor/topthink/think-dumper/src/helper.php ( 0.18 KB )
  18. /www/wwwroot/www.sjds.net/vendor/symfony/var-dumper/VarDumper.php ( 4.30 KB )
  19. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  20. /www/wwwroot/www.sjds.net/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  21. /www/wwwroot/www.sjds.net/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  22. /www/wwwroot/www.sjds.net/app/provider.php ( 0.19 KB )
  23. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  24. /www/wwwroot/www.sjds.net/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  25. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  26. /www/wwwroot/www.sjds.net/app/common.php ( 0.03 KB )
  27. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  28. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  29. /www/wwwroot/www.sjds.net/config/app.php ( 0.95 KB )
  30. /www/wwwroot/www.sjds.net/config/cache.php ( 0.78 KB )
  31. /www/wwwroot/www.sjds.net/config/console.php ( 0.23 KB )
  32. /www/wwwroot/www.sjds.net/config/cookie.php ( 0.56 KB )
  33. /www/wwwroot/www.sjds.net/config/database.php ( 2.48 KB )
  34. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  35. /www/wwwroot/www.sjds.net/config/filesystem.php ( 0.61 KB )
  36. /www/wwwroot/www.sjds.net/config/lang.php ( 0.91 KB )
  37. /www/wwwroot/www.sjds.net/config/log.php ( 1.35 KB )
  38. /www/wwwroot/www.sjds.net/config/middleware.php ( 0.19 KB )
  39. /www/wwwroot/www.sjds.net/config/route.php ( 1.89 KB )
  40. /www/wwwroot/www.sjds.net/config/session.php ( 0.57 KB )
  41. /www/wwwroot/www.sjds.net/config/trace.php ( 0.34 KB )
  42. /www/wwwroot/www.sjds.net/config/view.php ( 0.82 KB )
  43. /www/wwwroot/www.sjds.net/app/event.php ( 0.25 KB )
  44. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  45. /www/wwwroot/www.sjds.net/app/service.php ( 0.13 KB )
  46. /www/wwwroot/www.sjds.net/app/AppService.php ( 0.26 KB )
  47. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  48. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  49. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  50. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  51. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  52. /www/wwwroot/www.sjds.net/vendor/services.php ( 0.14 KB )
  53. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  54. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  55. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  56. /www/wwwroot/www.sjds.net/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  57. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  58. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  59. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  60. /www/wwwroot/www.sjds.net/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  61. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  62. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  63. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.21 KB )
  64. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.44 KB )
  65. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  66. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  67. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.29 KB )
  68. /www/wwwroot/www.sjds.net/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  69. /www/wwwroot/www.sjds.net/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  70. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  71. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  72. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  73. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  74. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  75. /www/wwwroot/www.sjds.net/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  76. /www/wwwroot/www.sjds.net/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  77. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  78. /www/wwwroot/www.sjds.net/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  79. /www/wwwroot/www.sjds.net/vendor/topthink/think-helper/src/helper/Arr.php ( 16.63 KB )
  80. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/cache/driver/File.php ( 7.84 KB )
  81. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  82. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  83. /www/wwwroot/www.sjds.net/app/Request.php ( 0.09 KB )
  84. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  85. /www/wwwroot/www.sjds.net/app/middleware.php ( 0.25 KB )
  86. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  87. /www/wwwroot/www.sjds.net/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  88. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/middleware/SessionInit.php ( 1.94 KB )
  89. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Session.php ( 1.80 KB )
  90. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/session/driver/File.php ( 6.27 KB )
  91. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/contract/SessionHandlerInterface.php ( 0.87 KB )
  92. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/session/Store.php ( 7.12 KB )
  93. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  94. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  95. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  96. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  97. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  98. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  99. /www/wwwroot/www.sjds.net/route/app.php ( 1.72 KB )
  100. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  101. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  102. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  103. /www/wwwroot/www.sjds.net/app/controller/Index.php ( 4.81 KB )
  104. /www/wwwroot/www.sjds.net/app/BaseController.php ( 2.05 KB )
  105. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  106. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.44 KB )
  107. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/PDOConnection.php ( 52.47 KB )
  108. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  109. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  110. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  111. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/Builder.php ( 24.06 KB )
  112. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  113. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/Query.php ( 15.71 KB )
  114. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  115. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  116. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  117. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  118. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  119. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  120. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  121. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  122. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  123. /www/wwwroot/www.sjds.net/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  124. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  125. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  126. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  127. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  128. /www/wwwroot/www.sjds.net/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  129. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/facade/View.php ( 1.70 KB )
  130. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  132. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  133. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  134. /www/wwwroot/www.sjds.net/vendor/topthink/think-view/src/Think.php ( 8.38 KB )
  135. /www/wwwroot/www.sjds.net/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  136. /www/wwwroot/www.sjds.net/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  137. /www/wwwroot/www.sjds.net/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  138. /www/wwwroot/www.sjds.net/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /www/wwwroot/www.sjds.net/runtime/temp/022a5b1eae5a9e3c31e54f699d8ae600.php ( 8.36 KB )
  140. /www/wwwroot/www.sjds.net/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000438s ] mysql:host=172.18.0.4;port=3306;dbname=www_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000857s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000459s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000374s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000755s ]
  6. SELECT * FROM `set` [ RunTime:0.000354s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000805s ]
  8. SELECT * FROM `article` WHERE `id` = 544628 LIMIT 1 [ RunTime:0.000516s ]
  9. UPDATE `article` SET `lasttime` = 1794380184 WHERE `id` = 544628 [ RunTime:0.001322s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000319s ]
  11. SELECT * FROM `article` WHERE `id` < 544628 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000461s ]
  12. SELECT * FROM `article` WHERE `id` > 544628 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000396s ]
  13. SELECT * FROM `article` WHERE `id` < 544628 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000562s ]
  14. SELECT * FROM `article` WHERE `id` < 544628 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000527s ]
  15. SELECT * FROM `article` WHERE `id` < 544628 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000660s ]
0.106656s