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      2026秋小学数学三升四暑假专项提升训练20天——归总问题(先求总量不变)

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      2026秋小学数学三升四暑假专项提升训练20天——归总问题(先求总量不变)

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      这是一份2026秋小学数学三升四暑假专项提升训练20天——归总问题(先求总量不变),共44页。
      核心考点:简单购物总价不变、物品平均分总量不变,掌握先求总量的基础解题逻辑
      1、一支钢笔8元,买6支钢笔的总钱数,刚好可以买8本笔记本,每本笔记本多少元?
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      2、一个文具盒12元,买4个文具盒的钱,能买6块橡皮,一块橡皮多少元?
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      3、每袋糖果有9颗,8袋糖果的总颗数,平均分给12个小朋友,每个小朋友分几颗?
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      4、一本练习本5元,买16本练习本的钱,全部用来买4元一支的圆珠笔,能买多少支?
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      5、每盒彩笔18元,买3盒彩笔的总钱数,刚好可以买9把尺子,每把尺子多少元?
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      6、幼儿园每班分15个玩具,4个班一共分到的玩具,平均分给6个小班,每班分多少个?
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      7、每束鲜花有10朵,9束鲜花的总朵数,重新扎成6束,平均每束有几朵?
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      8、书包每个30元,买2个书包的钱,可以买10个笔袋,每个笔袋多少元?
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      9、每本绘本20元,买5本绘本的总钱数,全部购买5元一本的作业本,能买多少本?
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      10、水果店每篮装12个橙子,6篮橙子的总数,分装成8篮,每篮装几个橙子?
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      第2天 归总问题基础巩固(工程、劳作基础题型)
      核心考点:工作量、劳作总量不变题型,熟练运用「先求总工作量,再求新效率/新时间」
      1、工人师傅每天加工10个零件,8天可以完成一批零件,现在要5天完成,每天需要加工多少个零件?
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      2、小明每天写15个大字,6天写完的练字总量,现在想3天写完,每天要写多少个大字?
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      3、工厂每天生产22件玩具,4天生产的玩具总量,要求2天完成,每天需生产多少件?
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      4、小红每天读18页课外书,5天读完一本书,现在每天读10页,多少天可以读完?
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      5、农民伯伯每天收割9亩稻田,10天收割完,现在9天收割完,每天收割多少亩?
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      6、手工课上每人做12个纸鹤,7人做的纸鹤总数,分给14个同学整理,每人整理几个?
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      7、快递员每天派送30件快递,6天派送完的快件总量,4天派送完,每天派多少件?
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      8、小刚每天跳绳120下,4天跳的总数量,分3天跳完,每天需要跳多少下?
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      9、装订工人每天装订40本图书,3天装订的总量,现在5天装订完,每天装订多少本?
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      10、养殖户每天投喂16千克饲料,9天用完的饲料总量,现在8天用完,每天投喂多少千克?
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      第3天 归总问题基础拓展(简单行程、运输题型)
      核心考点:路程、运输总量不变,掌握行程、运输类归总问题基础模型
      1、货车每小时行驶45千米,4小时到达目的地,总路程不变,轿车3小时走完全程,轿车每小时行多少千米?
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      2、三轮车每次运18箱货物,6次运完一批货物,现在改用大车,4次运完,每次运多少箱?
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      3、自行车每小时行15千米,8小时的路程,电动车5小时就能走完,电动车每小时行多少千米?
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      4、小货车每次运25袋粮食,4次运完,大货车每次运50袋,几次可以运完这批粮食?
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      5、客车每小时行60千米,5小时到达景区,现在提前1小时到达,每小时需要行多少千米?
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      6、手推车每次运12筐蔬菜,9次运完,卡车每次运27筐,多少次可以运完?
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      7、摩托车每小时行30千米,6小时的路程,步行需要10小时,步行每小时走多少千米?
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      8、运输车每次运36箱水果,3次运完,分4次运完,每次需要运多少箱?
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      9、汽车每小时行50千米,6小时到达,现在每小时多行10千米,几小时可以到达?
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      10、小板车每次运8袋化肥,12次运完,大车每次运16袋,几次运完?
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      第4天 归总问题基础综合(三类基础题型混合)
      核心考点:混合运用购物、工程、行程归总模型,快速识别总量不变条件
      1、每支圆珠笔3元,买20支的总钱数,用来买5元一支的钢笔,能买多少支?
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      2、工人每天加工18个配件,5天完成任务,现在6天完成,每天加工多少个?
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      3、货车每小时行40千米,7小时的路程,轿车5小时走完,轿车速度是多少?
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      4、幼儿园每桌坐8个小朋友,6桌的人数,平均分到12桌,每桌坐几人?
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      5、小芳每天写20道计算题,4天写完的习题总量,2天写完,每天写多少道?
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      6、每箱饮料有12瓶,8箱饮料的总瓶数,分装成16瓶一箱,能装多少箱?
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      7、快递车每次运45件包裹,4次运完,现在分6次运完,每次运多少件?
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      8、每块橡皮2元,买30块橡皮的钱,能买10支中性笔,每支中性笔多少元?
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      9、修路队每天修25米路,8天修完的路程,5天修完,每天修多少米?
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      10、三轮车每次运15箱蔬菜,8次运完,卡车每次运20箱,几次可以运完?
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      第5天 归总问题进阶基础(稍大数据运算题型)
      核心考点:提升运算难度,巩固先求总量、再求解的固定解题流程
      1、每套校服45元,买8套校服的总钱数,刚好可以买12套运动服,每套运动服多少元?
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      2、工厂每天生产32台机器,6天生产的总量,4天完成生产,每天生产多少台?
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      3、大巴车每小时行55千米,6小时到达目的地,小汽车5小时走完全程,每小时行多少千米?
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      4、每筐苹果28千克,5筐苹果的总重量,平均分到7个筐里,每筐重多少千克?
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      5、小华每天阅读24页书,7天读完的书籍,现在每天读28页,多少天读完?
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      6、运输队每次运38吨货物,4次运完,现在分8次运完,每次运多少吨?
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      7、每本画册36元,买5本画册的钱,全部购买9元一本的笔记本,能买多少本?
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      8、装修工人每天贴42块瓷砖,5天贴完的总量,7天贴完,每天贴多少块?
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      9、电动车每小时行28千米,9小时的路程,自行车12小时走完,自行车每小时行多少千米?
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      10、超市每箱装35个面包,6箱面包的总数,分装成每箱30个,能装多少箱?
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      第6天 归总问题条件辨析(明确总量不变核心)
      核心考点:区分变量与不变量,精准锁定归总问题的恒定总量,规避解题误区
      1、同学们排队做操,每行站18人,正好站4行。如果每行站12人,可以站多少行?
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      2、一堆煤炭,每天烧14千克,能烧6天。如果每天烧21千克,可以烧多少天?
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      3、一根绳子,剪成每段16米,能剪3段。如果剪成每段8米,可以剪几段?
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      4、一批作业本,每班分48本,分给3个班。现在分给4个班,平均每班分多少本?
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      5、一桶水,每天用12升,8天用完。现在每天多用4升,多少天用完?
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      6、一块菜地,每天收割30平方米,9天收割完。6天收割完,每天收割多少平方米?
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      7、一批零件,每人做24个,5人可以做完。如果6人做,每人做多少个?
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      8、零花钱每天花15元,10天花完总零花钱。现在每天花10元,可以花多少天?
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      9、一卷彩带,每段剪18厘米,剪4段用完。剪成每段12厘米,能剪几段?
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      10、一批树苗,每行种22棵,种6行。改成每行种33棵,可以种几行?
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      第7天 归总问题基础错题复盘(高频易错基础题)
      核心考点:攻克基础易错点,强化「先求总量」的固定思维,杜绝顺序颠倒错误
      1、买4个单价15元的书包的总钱数,用来买6个文具盒,每个文具盒多少元?
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      2、修路队每天修36米,5天修完一段路,要提前2天修完,每天修多少米?
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      3、货车6小时行360千米,总路程不变,轿车4小时行完全程,轿车每小时行多少千米?
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      4、把6箱每箱20千克的水果,重新分装成8箱,平均每箱多少千克?
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      5、小明每天做16道应用题,9天做完,现在每天多做2道,几天做完?
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      6、一批货物,每次运28箱,6次运完,分7次运完,每次运多少箱?
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      7、每支钢笔12元,买8支的钱,能买16支圆珠笔,每支圆珠笔多少元?
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      8、同学们排队,每行24人,站3行,改成每行18人,可以站几行?
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      9、一堆粮食,每天吃18千克,8天吃完,现在每天少吃2千克,可以吃几天?
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      10、手工制作,每人做18个作品,6人完成,9人合作,每人做多少个?
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      第8天 归总问题变式题型一(时间、数量增减变式)
      核心考点:加入「多、少、提前、延后」条件,灵活运用总量不变解题
      1、工程队原计划每天修40米,6天修完公路,实际提前2天完成,实际每天修多少米?
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      2、妈妈买毛巾,每条12元,买5条的钱,现在每条降价2元,能买多少条?
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      3、一批零件,原计划每天加工25个,8天完成,实际每天多加工5个,几天完成?
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      4、客车原计划每小时行50千米,6小时到达,实际每小时多行10千米,提前几小时到达?
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      5、幼儿园分糖果,原计划每人分10颗,分给18人,现在少分给3人,每人能分几颗?
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      6、一本书原计划每天读22页,7天读完,实际每天多读3页,几天读完?
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      7、运输队原计划每次运30吨,6次运完货物,实际每次少运6吨,需要运几次?
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      8、买笔记本,原计划买单价8元的笔记本9本,现在换买单价6元的,能多买几本?
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      9、做操排队,原计划每行21人,站4行,现在每行多站7人,可以少站几行?
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      10、一堆煤原计划每天烧16千克,9天烧完,实际每天多烧2千克,少烧几天?
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      第9天 归总问题变式题型二(隐藏总量题型)
      核心考点:挖掘题目隐藏不变总量,突破显性条件局限,提升审题能力
      1、工厂3天加工90个零件,照这样计算,8天加工的零件总量,分6天完成,每天加工多少个?
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      2、小明2天写40道习题,按这个速度,7天写的习题总量,5天写完,每天写多少道?
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      3、货车3小时行135千米,6小时行驶的总路程,轿车4小时走完,轿车每小时行多少千米?
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      4、超市2天卖出60箱牛奶,8天卖出的牛奶总量,分10天卖完,每天卖多少箱?
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      5、工人4小时组装48个玩具,9小时组装的总量,6小时组装完,每小时组装多少个?
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      6、小红3分钟走180米,12分钟走的总路程,9分钟走完,每分钟走多少米?
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      7、养殖场4天投喂80千克饲料,10天的饲料总量,8天用完,每天投喂多少千克?
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      8、文具店5天卖出120支钢笔,7天卖出的总量,分14天卖完,每天卖多少支?
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      9、修路队3天修75米路,8天修的总长度,5天修完,每天修多少米?
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      10、手工组2小时做36个纸艺品,10小时做的总量,8小时做完,每小时做多少个?
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      第10天 归总问题变式综合(增减条件+隐藏总量混合)
      核心考点:融合两类变式题型,灵活分析复杂条件,稳固总量不变核心模型
      1、工人3天加工66个零件,按此速度,9天加工的零件总量,提前3天完成,每天加工多少个?
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      2、笔记本每本9元,买8本的总钱数,现在每本便宜3元,能买多少本?
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      3、客车4小时行220千米,8小时的总路程,轿车每小时多行15千米,几小时走完?
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      4、一堆货物,每次运24箱,7次运完,实际每次多运4箱,几次运完?
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      5、小明4天读88页书,10天读的总页数,计划5天读完,每天读多少页?
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      6、做操每行20人,站6行,现在减少2行,每行站多少人?
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      7、货车5小时行250千米,6小时总路程,提前1小时到达,每小时行多少千米?
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      8、每块蛋糕12元,买6块的钱,现在每块降价4元,能多买几块?
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      9、修路队每天修32米,9天修完,实际每天少修8米,需要几天修完?
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      10、手工组3小时做45个手工,8小时总量,6小时完成,每小时多做多少个?
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      第11天 归总问题混合运算题型(含两步混合计算)
      核心考点:结合三年级混合运算规则,解决带加减、括号的归总问题,衔接四年级运算知识
      1、商店每盒钢笔有8支,每支5元,买4盒钢笔的总钱数,买每支4元的圆珠笔,能买多少支?
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      2、工人每小时加工12个零件,每天工作6小时,3天加工的总量,4天完成,每天加工多少个?
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      3、水果店每箱装15个橘子,每千克橘子有3个,6箱橘子总数量,分装成每箱10个,能装几箱?
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      4、小明每分钟写18个字,每天练字20分钟,4天写字总量,3天写完,每天写多少字?
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      5、货车每次运12箱货物,每箱重8千克,5次运的总重量,分6次运完,每次运多少千克?
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      6、学校每班配14套桌椅,8个班的桌椅总量,重新分给7个班,每班分多少套?
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      7、每本字帖16页,每页写20个字,5本字帖总字数,分8天写完,每天写多少字?
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      8、快递员每次派送18件包裹,每天派送4次,6天派送总量,8天派完,每天派多少件?
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      9、菜地每平方米收9千克蔬菜,40平方米菜地总产量,分6次运完,每次运多少千克?
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      10、玩具厂每小时生产22个玩具,每天工作8小时,3天产量,4天完成,每天生产多少个?
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      第12天 归总问题生活综合情境(购物、居家、校园综合)
      核心考点:贴合新课标真实情境要求,解决生活化复杂归总问题,强化应用意识
      1、妈妈去超市购物,买每千克8元的苹果6千克,总钱数刚好买4千克香蕉,每千克香蕉多少元?
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      2、学校采购防疫物资,每班分24个口罩,分给9个班的总量,现在分给12个班,每班分多少个?
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      3、家用饮水机每天耗电3度,12天的总耗电量,节能模式下9天用完,每天耗电多少度?
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      4、班级采购文具,买10元一支的钢笔6支的总钱数,购买7元一本的笔记本,最多能买几本?
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      5、小区绿化队每天修剪28平方米草坪,10天修剪完,8天完成,每天修剪多少平方米?
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      6、暑期夏令营,每间宿舍住6人,正好住满14间,现在每间住7人,需要多少间宿舍?
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      7、水果店打包水果礼盒,每盒装12个橙子,装8盒的总量,改装每盒16个,能装几盒?
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      8、爸爸开车上班,每小时45千米,4小时到达,雨天每小时行30千米,几小时到达?
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      9、手工社团制作手工艺品,每天做35个,6天完成,提前1天完成,每天做多少个?
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      10、食堂每天消耗25千克大米,12天用完一批大米,现在每天节约5千克,可以用几天?
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      第13天 归总问题对比辨析题型(归一、归总区分训练)
      核心考点:区分归一问题与归总问题,精准识别「总量不变」归总题型特征
      1、对比题1:①3支钢笔15元,8支钢笔多少元?②每支钢笔5元,买8支的钱能买10支圆珠笔,每支圆珠笔多少元?(完成第二题归总问题)
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      2、对比题2:①工人4天加工80个零件,每天加工多少个?②工人每天加工20个零件,6天总量,5天完成,每天加工多少个?(完成第二题归总问题)
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      3、一批货物,每次运18箱,8次运完,现在每次运24箱,几次运完?
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      4、小明3天读60页书,按此速度7天读多少页?(归一)换:小明每天读20页,7天总量,5天读完,每天读多少页?(归总,完成此题)
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      5、大巴车每小时行55千米,6小时路程,小轿车5小时走完,小轿车每小时行多少千米?
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      6、5本笔记本25元,9本笔记本多少元?(归一)换:每本5元,买9本的钱买3元的本子,能买几本?(归总,完成此题)
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      7、做操每行22人,站6行,改成每行33人,可以站几行?
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      8、快递员2天派送70件包裹,5天派送多少件?(归一)换:每天派35件,5天总量,7天派完,每天派多少件?(归总,完成此题)
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      9、一堆煤每天烧19千克,8天烧完,现在每天烧16千克,可以烧几天?
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      10、4千克苹果36元,7千克苹果多少元?(归一)换:每千克9元,买4千克的钱买6千克梨,每千克梨多少元?(归总,完成此题)
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      第14天 归总问题拔高变式(多条件复合题型)
      核心考点:多重复合条件,需要两步以上分析,全面提升逻辑推理能力
      1、工厂计划每天生产30台机器,12天完成订单,实际每天多生产6台,实际提前几天完成?
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      2、妈妈带的钱,买单价15元的洗发水4瓶正好用完,现在洗发水涨价3元,能买几瓶?
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      3、修路队每天修45米,8天修完一段路,实际延后2天完成,实际每天修多少米?
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      4、一批玩具,每人做16个,9人可以做完,实际少用1人,每人需要做多少个?
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      5、汽车每小时行60千米,5小时到达目的地,返程时每小时少行10千米,返程需要几小时?
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      6、食堂储备粮食,每天吃32千克,15天吃完,现在每天少吃2千克,可以多吃几天?
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      7、手工制作比赛,原计划每人做24个作品,6人完成,实际增加2人参与,每人做多少个?
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      8、超市进货,每箱饮料48元,买10箱的总钱数,现在每箱降价8元,能多买几箱?
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      9、小明暑期练字,计划每天写36个大字,10天写完,实际每天多写9个,提前几天写完?
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      10、运输队运货,每次运42吨,6次运完,实际每次少运7吨,需要多运几次?
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      第15天 归总问题综合拔高一(大数运算+复合情境)
      核心考点:适配四年级运算难度,大数计算+复杂生活情境,夯实衔接基础
      1、工程队修建道路,每天修56米,10天修完,现在要求8天修完,每天需要修多少米?
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      2、商场采购礼品,每套礼盒68元,买8套的总钱数,用来买4套高端礼盒,每套高端礼盒多少元?
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      3、货车满载每小时行48千米,9小时到达仓库,空载每小时行72千米,返程需要几小时?
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      4、农场收割小麦,每天收割45亩,12天收割完,9天收割完毕,每天收割多少亩?
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      5、培训机构采购教具,每套教具36元,买15套的总钱数,买20套简易教具,每套简易教具多少元?
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      6、印刷厂每天印刷52本图书,8天印刷总量,现在13天印刷完,每天印刷多少本?
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      7、骑行爱好者每小时骑行35千米,12小时的路程,开车7小时走完,开车每小时行多少千米?
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      8、养殖场投喂饲料,每天投喂48千克,10天用完,现在每天投喂40千克,可以用几天?
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      9、班级团建采购零食,每袋零食18元,买12袋的总钱数,买24袋小零食,每袋小零食多少元?
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      10、零件加工厂每小时加工38个零件,12小时总量,8小时完成,每小时加工多少个?
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      第16天 归总问题综合拔高二(易错陷阱专项)
      核心考点:攻克单位混淆、条件多余、问题陷阱等高频易错点,提升解题准确率
      1、每支钢笔12元,买9支钢笔的钱,最多能买多少支单价8元的圆珠笔?
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      2、工人每天加工28个零件,12天完成任务,实际每天多加工4个,提前几天完成?
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      3、一堆货物重720千克,每次运36千克,20次运完,现在每次多运9千克,几次运完?
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      4、小明每天读32页书,15天读完一本书,实际延后5天读完,实际每天读多少页?
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      5、超市每箱牛奶45元,买16箱的总钱数,现在每箱降价5元,能买多少箱?
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      6、同学们排队,每行25人,站12行,减少3行后,每行站多少人?
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      7、汽车每小时行50千米,12小时到达,实际每小时多行10千米,提前几小时到达?
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      8、食堂有一批面粉,每天用35千克,18天用完,现在每天少用5千克,可以多用几天?
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      9、手工组每人做30个作品,8人完成,增加2人后,每人少做多少个作品?
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      10、快递站每天派送60件包裹,15天派完,现在每天多派15件,提前几天派完?
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      第17天 归总问题跨模块融合(乘除混合+归总综合)
      核心考点:融合三年级下册乘除混合运算、带括号运算,实现知识点联动,适配四年级综合解题要求
      1、(36×5)÷4 对应应用题:每本绘本36元,买5本的总钱数,平均分4次购买文具,每次花多少钱?
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      2、(28×9)÷6 对应应用题:工人每天加工28个零件,9天总量,6天完成,每天加工多少个?
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      3、货车每小时行42千米,10小时路程,7小时走完,每小时行多少千米?(列综合算式解答)
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      4、每盒彩笔24元,买8盒的钱,买12块画板,每块画板多少元?(列综合算式解答)
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      5、(45×8)÷(45+15)应用题:每天修45米,8天修完,每天多修15米,几天修完?
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      6、(32×10)÷(10-2)应用题:每天做32道题,10天做完,提前2天完成,每天做多少道?
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      7、一批水果,每筐装38千克,6筐装满,分装成4筐,每筐装多少千克?(综合算式)
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      8、(50×12)÷(50-10)应用题:每小时行50千米,12小时到达,每小时少行10千米,几小时到达?
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      9、学校采购树苗,每行种36棵,种8行,改成每行种48棵,种几行?(综合算式)
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      10、(25×16)÷20 应用题:每天用25千克大米,16天用完,20天用完,每天用多少千克?
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      第18天 归总问题真题演练(期末统考真题题型)
      核心考点:适配三升四期末统考、升学衔接真题题型,贴合考试命题规律
      1、(期末真题)文具店卖出的笔记本,每本14元,买6本的总金额,可购买8支中性笔,每支中性笔多少元?
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      2、(期末真题)修路队抢修道路,计划每天修39米,8天修完,实际6天完成,实际每天修多少米?
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      3、(升学衔接真题)一辆货车从甲地到乙地,每小时行44千米,9小时到达,返回时6小时到达,返回速度是多少?
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      4、(期末真题)幼儿园分饼干,每人分12块,分给18个小朋友,现在分给24个小朋友,每人分几块?
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      5、(升学真题)工厂生产配件,每天生产42个,10天完成,实际每天多生产8个,几天完成任务?
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      6、(期末真题)一批粮食,每天吃28千克,15天吃完,现在每天少吃3千克,可以吃多少天?
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      7、(衔接真题)同学们进行队列表演,每行30人,站12行,调整队形后每行24人,可以站几行?
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      8、(期末真题)妈妈带钱买水果,买每千克12元的葡萄10千克,用这些钱买8千克草莓,每千克草莓多少元?
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      9、(升学真题)印刷厂装订画册,每天装订48本,12天装订完,提前4天完成,每天装订多少本?
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      10、(期末真题)运输队运物资,每次运33吨,10次运完,现在每次多运7吨,几次可以运完?
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      第19天 归总问题综合全能训练(全题型混合复盘)
      核心考点:混合基础、变式、拔高、真题所有题型,全面复盘薄弱点,查漏补缺
      1、每块橡皮4元,买24块橡皮的总钱数,能买12支钢笔,每支钢笔多少元?
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      2、工程队每天修55米,9天修完公路,实际延后1天完成,每天修多少米?
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      3、客车5小时行300千米,8小时总路程,轿车6小时走完,轿车每小时行多少千米?
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      4、一批玩具,每人做22个,10人完成,实际20人参与,每人做多少个?
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      5、每天读40页书,12天读完,实际每天多读8页,提前几天读完?
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      6、每箱装28个苹果,9箱总量,分装成每箱36个,能装几箱?
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      7、超市每桶洗衣液35元,买12桶的钱,现在每桶降价7元,能买多少桶?
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      8、货车每次运40吨,11次运完,实际每次少运5吨,需要运几次?
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      9、班级采购文具,每套尺子6元,买30套的钱,买18支签字笔,每支签字笔多少元?
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      10、农场每天收割50亩水稻,10天收割完,提前2天完成,每天收割多少亩?
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      第20天 归总问题终极冲刺(综合压轴+全套复盘)
      核心考点:压轴难度题型,整合20天所有知识点,实现归总问题满分突破,完美衔接四年级
      1、工厂承接一批订单,原计划每天生产45个零件,16天完成,实际每天多生产15个,实际提前多少天完成订单?
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      2、妈妈准备采购生活用品,带的钱刚好买18元一条的毛巾20条,现在毛巾涨价2元,用这些钱可以买多少条毛巾?
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      3、甲乙两地相距固定路程,货车每小时行52千米,15小时到达,小汽车每小时比货车快13千米,小汽车从甲到乙需要几小时?
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      4、学校组织手工活动,原计划25人参与,每人做18个手工作品,实际增加5人参与,实际每人需要做多少个作品?
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      5、一本课外读物,小明计划每天读42页,14天读完,实际每天多读6页,提前几天读完这本书?
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      6、仓储中心有一批货物,用载重36吨的货车,12次可以运完,改用载重48吨的货车,需要几次运完?
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      7、食堂储备夏季粮食,每天消耗40千克大米,21天用完,实际每天节约5千克,这批大米可以多用几天?
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      8、文体店促销,每副羽毛球拍45元,买14副的总钱数,用来购买35元一副的乒乓球拍,能买多少副?
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      9、修路队修建乡村公路,每天修60米,13天修完,实际延后3天完工,实际每天修路多少米?
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