2026秋三升四年级数学归一问题(先求单一量)暑假20天专项提升训练
展开 这是一份2026秋三升四年级数学归一问题(先求单一量)暑假20天专项提升训练,共44页。
训练目标:理解单一量含义,掌握“总数量÷份数=单一量”基础公式,能快速求出各类生活场景中的单位数量(单价、单产量、单日工作量、单速度等)
解题核心口诀:求归一,先均分,总量除以份数,算出一份量
答题区域(每题分步列式、综合算式均可,书写完整解题过程):
1、3支钢笔一共18元,求1支钢笔多少元?
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2、5千克苹果重25千克,求1千克苹果多少元?
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3、4小时行驶36千米,求1小时行驶多少千米?
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4、6天看完48页书,求1天看多少页书?
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5、8个本子一共40元,求1个本子多少元?
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6、7分钟加工28个零件,求1分钟加工多少个零件?
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7、9箱橘子重81千克,求1箱橘子重多少千克?
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8、2套校服一共120元,求1套校服多少元?
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9、10分钟跳绳150下,求1分钟跳绳多少下?
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10、6盆花一共开花30朵,求1盆花开花多少朵?
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第2天 正归一基础题型(先求单一量·再求总量)
训练目标:掌握正归一核心解题步骤,先求出单一量,再根据单一量计算多个份数对应的总数量,熟练书写两步算式
解题公式:总数量÷份数=单一量 单一量×新份数=新总数量
答题区域:
1、3支圆珠笔12元,照这样计算,8支圆珠笔需要多少元?
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2、4小时骑行24千米,照这样的速度,7小时可以骑行多少千米?
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3、5天练字35页,照这样计算,9天可以练字多少页?
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4、6个面包18元,买10个同样的面包需要多少元?
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5、2分钟打字80个,5分钟可以打字多少个?
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6、7箱牛奶重42千克,12箱牛奶重多少千克?
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7、3小时收割15亩庄稼,8小时可以收割多少亩庄稼?
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8、4本笔记本20元,15本笔记本需要多少元?
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9、5分钟折20只纸鹤,12分钟可以折多少只纸鹤?
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10、6千克葡萄36元,买9千克葡萄需要多少元?
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第3天 反归一基础题型(先求单一量·再求份数)
训练目标:掌握反归一解题思路,先求单一量,再根据总数量计算对应的份数,区分正归一、反归一题型差异
解题公式:总数量÷份数=单一量 总数量÷单一量=新份数
答题区域:
1、3支钢笔15元,照这样计算,40元可以买多少支钢笔?
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2、4小时行驶32千米,行驶56千米需要多少小时?
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3、5天做40道应用题,做64道应用题需要多少天?
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4、2个水杯16元,72元可以买多少个水杯?
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5、6分钟走300米,走450米需要多少分钟?
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6、7斤桃子21元,36元可以买多少斤桃子?
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7、3台机器1小时生产9个零件,生产27个零件需要几台机器1小时完成?
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8、4本图画本24元,54元可以买多少本图画本?
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9、5分钟剪15朵窗花,剪42朵窗花需要多少分钟?
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10、8袋饼干40元,60元可以买多少袋饼干?
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第4天 正、反归一题型混合基础训练
训练目标:自主区分正归一(求总量)、反归一(求份数)题型,熟练运用对应公式解题,夯实两步计算基础
答题区域:
1、4块橡皮8元,买12块橡皮需要多少元?
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2、4块橡皮8元,20元可以买多少块橡皮?
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3、6小时加工30个玩具,9小时可以加工多少个玩具?
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4、6小时加工30个玩具,加工45个玩具需要多少小时?
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5、3千克橙子12元,买7千克橙子需要多少元?
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6、3千克橙子12元,28元可以买多少千克橙子?
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7、5天浇水20盆花,8天可以浇水多少盆花?
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8、5天浇水20盆花,浇水36盆花需要多少天?
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9、2分钟拍球40下,6分钟可以拍球多少下?
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10、2分钟拍球40下,拍100下球需要多少分钟?
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第5天 归一问题生活场景应用题(购物场景专项)
训练目标:结合超市购物、文具采购等生活场景,熟练解决购物类归一问题,理解单价、数量、总价的数量关系
答题区域:
1、超市5袋薯片售价25元,照这样计算,买18袋薯片需要花费多少元?
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2、3把尺子9元,妈妈带了45元,可以买多少把同样的尺子?
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3、6盒彩笔36元,学校采购25盒彩笔,一共需要多少元?
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4、4个文具盒32元,80元可以购买多少个文具盒?
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5、7千克香蕉28元,买11千克香蕉需要多少钱?
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6、2块蛋糕14元,49元可以买几块同样的蛋糕?
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7、9支马克笔45元,班级购买30支马克笔需要多少元?
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8、5瓶饮料15元,60元可以买多少瓶饮料?
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9、4条毛巾36元,买15条毛巾需要多少元?
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10、8个书签16元,12元可以买多少个书签?
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第6天 归一问题生活场景应用题(行程、运动场景专项)
训练目标:掌握行程、运动类归一问题,理解速度、时间、路程的基础数量关系,提升场景化解题能力
答题区域:
1、小明3分钟步行180米,按照这个速度,他8分钟可以步行多少米?
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2、自行车4分钟行驶800米,行驶1200米需要多少分钟?
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3、小红5分钟跳绳300下,12分钟可以跳绳多少下?
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4、小刚6分钟跑480米,跑640米需要几分钟?
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5、电动车2小时行驶40千米,7小时可以行驶多少千米?
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6、小丽4分钟踢毽子120个,踢210个毽子需要多少分钟?
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7、汽车3小时行驶180千米,5小时可以行驶多少千米?
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8、弟弟5分钟走250米,走400米需要几分钟?
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9、运动员7分钟游泳1400米,10分钟可以游泳多少米?
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10、跳绳比赛中,2分钟跳160下,跳560下需要多少分钟?
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第7天 归一问题生活场景应用题(工作、生产场景专项)
训练目标:熟练解决工程、生产、劳作类归一问题,理解单日工作量、工作时间、总工作量的数量关系
答题区域:
1、工人3小时加工27个零件,8小时可以加工多少个零件?
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2、裁缝4小时缝制12件衣服,缝制21件衣服需要多少小时?
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3、农民5小时采摘30千克草莓,9小时可以采摘多少千克草莓?
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4、印刷厂6小时印刷48本书,印刷72本书需要多少小时?
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5、保洁员2小时打扫10间教室,7小时可以打扫多少间教室?
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6、工匠8小时制作40个摆件,制作60个摆件需要多少小时?
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7、厨师3小时做出18道菜品,10小时可以做出多少道菜品?
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8、快递员4小时派送32件快递,派送56件快递需要多少小时?
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9、画家5小时画20幅画,12小时可以画多少幅画?
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10、组装工7小时组装49台玩具,组装63台玩具需要多少小时?
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第8天 归一问题生活场景应用题(学习、种植场景专项)
训练目标:覆盖校园学习、农业种植场景,全面拓展归一问题应用场景,熟练两步解题步骤
答题区域:
1、小芳4天背诵28首古诗,7天可以背诵多少首古诗?
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2、小明5天写45个毛笔字,写63个毛笔字需要多少天?
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3、班级3天打扫15次卫生,8天可以打扫多少次卫生?
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4、小花6天阅读54页课外书,阅读81页课外书需要多少天?
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5、农民2天播种18亩田地,9天可以播种多少亩田地?
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6、园丁4天修剪24棵绿植,修剪42棵绿植需要多少天?
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7、小学生3天完成12道奥数题,10天可以完成多少道奥数题?
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8、养护员5天浇灌35棵树木,浇灌56棵树木需要多少天?
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9、乐乐7天练习49道口算题,12天可以练习多少道口算题?
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10、花农8天培育40盆幼苗,培育65盆幼苗需要多少天?
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第9天 归一问题综合基础变式题(无陷阱·稳步提升)
训练目标:突破基础简单题型,接触轻微变式归一题型,灵活运用解题模型,提升审题能力
答题区域:
1、3箱矿泉水有36瓶,照这样计算,11箱矿泉水一共有多少瓶?
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2、4桶食用油重20千克,45千克食用油可以装多少桶?
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3、2张彩纸可以折8只千纸鹤,9张彩纸可以折多少只千纸鹤?
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4、5本故事书厚25毫米,厚度40毫米的故事书有多少本?
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5、6盏台灯售价72元,购买14盏台灯需要多少元?
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6、3个收纳箱可以装24件玩具,40件玩具需要多少个收纳箱?
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7、8支荧光笔售价32元,13支荧光笔需要多少元?
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8、4个鱼缸可以养32条小鱼,56条小鱼需要多少个鱼缸?
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9、7本练习本售价21元,买20本练习本需要多少元?
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10、2个闹钟售价36元,81元可以买多少个闹钟?
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第10天 归一问题期中模拟基础卷(10道综合题·半阶段复盘)
训练目标:复盘前9天所学知识,综合检测基础归一问题掌握情况,查漏补缺,巩固正、反归一所有基础题型
答题区域:
1、5支中性笔20元,买16支中性笔需要多少元?
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2、6小时行驶48千米,行驶72千米需要多少小时?
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3、4天折纸44个,9天可以折纸多少个?
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4、7千克苹果42元,54元可以买多少千克苹果?
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5、3台风扇1小时吹风15立方米,8台风扇1小时吹风多少立方米?
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6、8分钟录入64个字,录入96个字需要多少分钟?
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7、2套运动服90元,买12套运动服需要多少元?
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8、5盆绿植35元,49元可以买多少盆绿植?
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9、6小时收割54千克稻谷,10小时可以收割多少千克稻谷?
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10、4个书包160元,200元可以买多少个书包?
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第11天 归一问题进阶题型(稍复杂两步变式·无多余条件)
训练目标:提升审题与计算能力,训练数字稍大、题型稍复杂的归一问题,熟练综合算式书写
答题区域:
1、6盒巧克力72元,照这样计算,买23盒巧克力需要多少元?
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2、9分钟行走630米,行走840米需要多少分钟?
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3、7天完成56道计算题,15天可以完成多少道计算题?
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4、8千克柚子48元,66元可以买多少千克柚子?
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5、4台打印机1小时打印80张纸,11台打印机1小时打印多少张纸?
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6、10天浇水60盆花,浇水78盆花需要多少天?
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7、5张书桌250元,买18张书桌需要多少元?
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8、3小时组装36个玩具,组装84个玩具需要多少小时?
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9、8支钢笔96元,买25支钢笔需要多少元?
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10、6筐橘子90千克,120千克橘子可以装多少筐?
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第12天 归一问题易错题专项(条件辨析·规避基础错误)
训练目标:针对三升四学生高频易错点训练,学会辨析题目条件,避免看错份数、算错单一量等基础错误
答题区域:
1、小明3天看36页书,照这样计算,一周(7天)可以看多少页书?
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2、4辆小车可以载20人,照这样计算,载35人需要多少辆小车?
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3、5只小猫5分钟吃10条鱼,1只小猫1分钟吃几条鱼?6只小猫1分钟吃几条?
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4、6米彩带可以扎3个花束,扎8个花束需要多少米彩带?
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5、2千克面粉可以做10个馒头,做35个馒头需要多少千克面粉?
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6、7张报纸重210克,10张报纸重多少克?
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7、3个工人1天修路15米,8个工人1天修路多少米?
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8、9块橡皮18元,30元可以买多少块橡皮?
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9、4盆绿萝16元,班级买19盆绿萝需要多少元?
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10、8分钟削24支铅笔,削45支铅笔需要多少分钟?
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第13天 归一问题含余数题型专项(实际应用取舍)
训练目标:接触归一问题带余数题型,结合生活实际判断取值,掌握有余数的归一应用题解题方法
答题区域:
1、4个篮子装28个苹果,照这样计算,40个苹果需要几个篮子?
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2、3支画笔12元,50元最多可以买多少支画笔?
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3、5分钟折25只纸船,折32只纸船需要多少分钟?
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4、6箱装48个橙子,55个橙子需要多少个箱子?
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5、2小时加工18个零件,加工25个零件需要多少小时?
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6、7本笔记本35元,48元最多买多少本笔记本?
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7、8米绳子做4根跳绳,做7根跳绳需要多少米绳子?
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8、3天种21棵树,种30棵树需要多少天?
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9、5瓶墨水25元,38元最多买多少瓶墨水?
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10、9分钟洗9个碗,洗20个碗需要多少分钟?
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第14天 归一问题多条件辨析题型(筛选有效条件)
训练目标:训练学生筛选题目有效条件、排除多余干扰条件的能力,适配新课标审题素养要求
答题区域:
1、超市有80袋大米,3袋大米重15千克,照这样计算,7袋大米重多少千克?
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2、小明今年9岁,5分钟走300米,他以这个速度走12分钟,能走多少米?
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3、班级有45名学生,6天完成30份手抄报,9天可以完成多少份手抄报?
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4、一本书共200页,4天读40页,照这样计算,7天可以读多少页?
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5、果园有50棵桃树,7棵桃树产49千克桃子,10棵桃树产多少千克桃子?
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6、一辆货车载重5吨,3小时行驶180千米,6小时行驶多少千米?
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7、文具店有60盒彩笔,8盒彩笔售价48元,买15盒彩笔需要多少元?
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8、小红有100元零花钱,2支钢笔14元,买9支钢笔需要多少元?
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9、操场周长400米,5分钟跑200米,8分钟可以跑多少米?
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10、工厂有30台机器,4台机器1小时生产36个零件,9台机器1小时生产多少零件?
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第15天 归一问题综合拔高卷(10道真题变式·阶段测评)
训练目标:综合测评前14天学习成果,整合基础、变式、易错题题型,提升综合解题能力
答题区域:
1、4千克榴莲36元,买13千克榴莲需要多少元?
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2、6分钟骑行420米,骑行630米需要多少分钟?
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3、3名工人1天组装27个家具,8名工人1天组装多少个家具?
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4、9本字帖81元,63元可以买多少本字帖?
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5、5天收割45亩水稻,12天可以收割多少亩水稻?
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6、2个收纳筐可以装18本书,50本书需要多少个收纳筐?
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7、7支口红140元,买22支口红需要多少元?
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8、10分钟跳绳500下,跳700下需要多少分钟?
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9、4箱荔枝48千克,15箱荔枝重多少千克?
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10、6把雨伞90元,100元最多买多少把雨伞?
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第16天 归一问题三步简单变式题(进阶思维训练)
训练目标:突破两步基础题型,接触简单三步归一变式题,培养循序渐进的数学解题思维
答题区域:
1、3盒笔有36支,5盒笔一共有多少支?这些笔平均分给10个同学,每人分几支?
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2、4小时行驶240千米,照这样速度,7小时行驶多少千米?比5小时多行驶多少千米?
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3、5天练字45页,9天练字多少页?比6天多练多少页?
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4、6千克苹果30元,买8千克苹果需要多少元?50元能剩多少元?
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5、2分钟打字120个,8分钟打字多少个?比4分钟多打多少个字?
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6、7箱牛奶42千克,11箱牛奶重多少千克?比8箱重多少千克?
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7、3小时收割18亩庄稼,10小时收割多少亩?比7小时多收割多少亩?
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8、4本笔记本24元,12本笔记本多少元?买完剩32元,原来有多少元?
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9、5分钟折25只纸鹤,12分钟折多少只?比9分钟多折多少只?
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10、6千克葡萄36元,9千克葡萄多少元?40元买完还剩多少元?
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第17天 归一问题生活综合应用题(复杂场景专项)
训练目标:适配新课标生活化应用要求,解决复杂生活场景归一问题,提升数学建模能力
答题区域:
1、超市促销,4袋饼干售价20元,妈妈买13袋饼干,一共需要花多少钱?
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2、环卫工人3小时清扫150米路面,照这样计算,8小时可以清扫多少米路面?
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3、小学食堂5天消耗45千克大米,照这样计算,12天需要消耗多少千克大米?
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4、手工社团6小时制作36个手工艺品,制作60个手工艺品需要多少小时?
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5、洒水车2小时洒水800平方米,9小时可以洒水多少平方米?
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6、书店7天卖出49本童话书,卖出77本童话书需要多少天?
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7、养殖户4天投喂32千克饲料,10天需要投喂多少千克饲料?
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8、快递驿站8小时分拣640件快递,分拣960件快递需要多少小时?
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9、美术班3节课画21幅画,11节课可以画多少幅画?
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10、修车师傅5小时修理15辆自行车,修理33辆自行车需要多少小时?
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第18天 归一问题错题复盘+拔高变式(重难点突破)
训练目标:聚焦前期高频错题、重难点题型,专项突破易丢分知识点,强化解题熟练度与准确率
答题区域:
1、5支圆珠笔25元,买21支圆珠笔需要多少元?
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2、8分钟行驶640米,行驶800米需要多少分钟?
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3、4名同学1天打扫20间教室,9名同学1天打扫多少间教室?
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4、10本练习本30元,45元可以买多少本练习本?
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5、6天采摘48千克樱桃,13天可以采摘多少千克樱桃?
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6、3个水桶可以装24升水,60升水需要多少个水桶?
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7、9支荧光笔45元,买28支荧光笔需要多少元?
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8、7分钟折纸42个,折54个纸需要多少分钟?
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9、5箱哈密瓜50千克,17箱哈密瓜重多少千克?
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10、4个台灯80元,90元最多可以买多少个台灯?
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第19天 归一问题全真模拟卷(小升初衔接基础题型)
训练目标:衔接四年级及小升初基础应用题考点,全真模拟考试题型,适配应试要求
答题区域:
1、一台饮水机4小时加水36升,照这样计算,11小时可以加水多少升?
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2、手工绳3米可以编6个中国结,编15个中国结需要多少米手工绳?
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3、养殖厂9只鸭子产45个鸭蛋,12只鸭子可以产多少个鸭蛋?
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4、5张电影票40元,72元可以买多少张电影票?
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5、工人师傅7小时修复28米路面,10小时可以修复多少米路面?
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6、6盒饼干重300克,500克饼干有多少盒?
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7、2套运动装86元,买15套运动装需要多少元?
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8、8分钟朗读640个字,朗读960个字需要多少分钟?
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9、4车沙子重32吨,13车沙子重多少吨?
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10、3个保温杯69元,100元最多买多少个保温杯?
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第20天 20天专项总复盘(综合终极训练·全覆盖题型)
训练目标:全面复盘20天所有归一问题题型,整合基础、变式、拔高、易错题型,彻底掌握归一问题解题模型
答题区域:
1、基础题:3支牙刷9元,买14支牙刷需要多少元?
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2、基础题:5小时行驶45千米,行驶63千米需要多少小时?
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3、场景题:超市6袋糖果48元,采购20袋糖果需要多少元?
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4、场景题:运动员4分钟跑320米,跑560米需要几分钟?
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5、易错题:7天读书63页,一周(7天)读63页,12天读多少页?
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6、余数题:4个花盆种20朵花,35朵花需要多少个花盆?
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7、多条件题:一本书180页,5天读30页,9天读多少页?
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8、进阶题:8支钢笔104元,买25支钢笔需要多少元?
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9、三步变式题:2分钟拍球80下,9分钟拍多少下?比6分钟多拍多少下?
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10、拔高真题:3名工人1小时加工24个零件,10名工人1小时加工多少零件?
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