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_第1页
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2026秋三升四年级数学归一问题(先求单一量)暑假20天专项提升训练第1天归一问题基础入门(认识单一量·基础计算题)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?________________________________________________________________________________________________________________________________2、5千克苹果重25千克,求1千克苹果多少元?________________________________________________________________________________________________________________________________3、4小时行驶36千米,求1小时行驶多少千米?________________________________________________________________________________________________________________________________4、6天看完48页书,求1天看多少页书?________________________________________________________________________________________________________________________________5、8个本子一共40元,求1个本子多少元?________________________________________________________________________________________________________________________________6、7分钟加工28个零件,求1分钟加工多少个零件?________________________________________________________________________________________________________________________________7、9箱橘子重81千克,求1箱橘子重多少千克?________________________________________________________________________________________________________________________________8、2套校服一共120元,求1套校服多少元?________________________________________________________________________________________________________________________________9、10分钟跳绳150下,求1分钟跳绳多少下?________________________________________________________________________________________________________________________________10、6盆花一共开花30朵,求1盆花开花多少朵?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________3、5天练字35页,照这样计算,9天可以练字多少页?________________________________________________________________________________________________________________________________4、6个面包18元,买10个同样的面包需要多少元?________________________________________________________________________________________________________________________________5、2分钟打字80个,5分钟可以打字多少个?________________________________________________________________________________________________________________________________6、7箱牛奶重42千克,12箱牛奶重多少千克?________________________________________________________________________________________________________________________________7、3小时收割15亩庄稼,8小时可以收割多少亩庄稼?________________________________________________________________________________________________________________________________8、4本笔记本20元,15本笔记本需要多少元?________________________________________________________________________________________________________________________________9、5分钟折20只纸鹤,12分钟可以折多少只纸鹤?________________________________________________________________________________________________________________________________10、6千克葡萄36元,买9千克葡萄需要多少元?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、4小时行驶32千米,行驶56千米需要多少小时?________________________________________________________________________________________________________________________________3、5天做40道应用题,做64道应用题需要多少天?________________________________________________________________________________________________________________________________4、2个水杯16元,72元可以买多少个水杯?________________________________________________________________________________________________________________________________5、6分钟走300米,走450米需要多少分钟?________________________________________________________________________________________________________________________________6、7斤桃子21元,36元可以买多少斤桃子?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________8、4本图画本24元,54元可以买多少本图画本?________________________________________________________________________________________________________________________________9、5分钟剪15朵窗花,剪42朵窗花需要多少分钟?________________________________________________________________________________________________________________________________10、8袋饼干40元,60元可以买多少袋饼干?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、4块橡皮8元,20元可以买多少块橡皮?________________________________________________________________________________________________________________________________3、6小时加工30个玩具,9小时可以加工多少个玩具?________________________________________________________________________________________________________________________________4、6小时加工30个玩具,加工45个玩具需要多少小时?________________________________________________________________________________________________________________________________5、3千克橙子12元,买7千克橙子需要多少元?________________________________________________________________________________________________________________________________6、3千克橙子12元,28元可以买多少千克橙子?________________________________________________________________________________________________________________________________7、5天浇水20盆花,8天可以浇水多少盆花?________________________________________________________________________________________________________________________________8、5天浇水20盆花,浇水36盆花需要多少天?________________________________________________________________________________________________________________________________9、2分钟拍球40下,6分钟可以拍球多少下?________________________________________________________________________________________________________________________________10、2分钟拍球40下,拍100下球需要多少分钟?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、3把尺子9元,妈妈带了45元,可以买多少把同样的尺子?________________________________________________________________________________________________________________________________3、6盒彩笔36元,学校采购25盒彩笔,一共需要多少元?________________________________________________________________________________________________________________________________4、4个文具盒32元,80元可以购买多少个文具盒?________________________________________________________________________________________________________________________________5、7千克香蕉28元,买11千克香蕉需要多少钱?________________________________________________________________________________________________________________________________6、2块蛋糕14元,49元可以买几块同样的蛋糕?________________________________________________________________________________________________________________________________7、9支马克笔45元,班级购买30支马克笔需要多少元?________________________________________________________________________________________________________________________________8、5瓶饮料15元,60元可以买多少瓶饮料?________________________________________________________________________________________________________________________________9、4条毛巾36元,买15条毛巾需要多少元?________________________________________________________________________________________________________________________________10、8个书签16元,12元可以买多少个书签?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、自行车4分钟行驶800米,行驶1200米需要多少分钟?________________________________________________________________________________________________________________________________3、小红5分钟跳绳300下,12分钟可以跳绳多少下?________________________________________________________________________________________________________________________________4、小刚6分钟跑480米,跑640米需要几分钟?________________________________________________________________________________________________________________________________5、电动车2小时行驶40千米,7小时可以行驶多少千米?________________________________________________________________________________________________________________________________6、小丽4分钟踢毽子120个,踢210个毽子需要多少分钟?________________________________________________________________________________________________________________________________7、汽车3小时行驶180千米,5小时可以行驶多少千米?________________________________________________________________________________________________________________________________8、弟弟5分钟走250米,走400米需要几分钟?________________________________________________________________________________________________________________________________9、运动员7分钟游泳1400米,10分钟可以游泳多少米?________________________________________________________________________________________________________________________________10、跳绳比赛中,2分钟跳160下,跳560下需要多少分钟?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、裁缝4小时缝制12件衣服,缝制21件衣服需要多少小时?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________4、印刷厂6小时印刷48本书,印刷72本书需要多少小时?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________6、工匠8小时制作40个摆件,制作60个摆件需要多少小时?________________________________________________________________________________________________________________________________7、厨师3小时做出18道菜品,10小时可以做出多少道菜品?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________9、画家5小时画20幅画,12小时可以画多少幅画?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、小明5天写45个毛笔字,写63个毛笔字需要多少天?________________________________________________________________________________________________________________________________3、班级3天打扫15次卫生,8天可以打扫多少次卫生?________________________________________________________________________________________________________________________________4、小花6天阅读54页课外书,阅读81页课外书需要多少天?________________________________________________________________________________________________________________________________5、农民2天播种18亩田地,9天可以播种多少亩田地?________________________________________________________________________________________________________________________________6、园丁4天修剪24棵绿植,修剪42棵绿植需要多少天?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________8、养护员5天浇灌35棵树木,浇灌56棵树木需要多少天?________________________________________________________________________________________________________________________________9、乐乐7天练习49道口算题,12天可以练习多少道口算题?________________________________________________________________________________________________________________________________10、花农8天培育40盆幼苗,培育65盆幼苗需要多少天?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、4桶食用油重20千克,45千克食用油可以装多少桶?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________4、5本故事书厚25毫米,厚度40毫米的故事书有多少本?________________________________________________________________________________________________________________________________5、6盏台灯售价72元,购买14盏台灯需要多少元?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________7、8支荧光笔售价32元,13支荧光笔需要多少元?________________________________________________________________________________________________________________________________8、4个鱼缸可以养32条小鱼,56条小鱼需要多少个鱼缸?________________________________________________________________________________________________________________________________9、7本练习本售价21元,买20本练习本需要多少元?________________________________________________________________________________________________________________________________10、2个闹钟售价36元,81元可以买多少个闹钟?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、6小时行驶48千米,行驶72千米需要多少小时?________________________________________________________________________________________________________________________________3、4天折纸44个,9天可以折纸多少个?________________________________________________________________________________________________________________________________4、7千克苹果42元,54元可以买多少千克苹果?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________6、8分钟录入64个字,录入96个字需要多少分钟?________________________________________________________________________________________________________________________________7、2套运动服90元,买12套运动服需要多少元?________________________________________________________________________________________________________________________________8、5盆绿植35元,49元可以买多少盆绿植?________________________________________________________________________________________________________________________________9、6小时收割54千克稻谷,10小时可以收割多少千克稻谷?________________________________________________________________________________________________________________________________10、4个书包160元,200元可以买多少个书包?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、9分钟行走630米,行走840米需要多少分钟?________________________________________________________________________________________________________________________________3、7天完成56道计算题,15天可以完成多少道计算题?________________________________________________________________________________________________________________________________4、8千克柚子48元,66元可以买多少千克柚子?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________6、10天浇水60盆花,浇水78盆花需要多少天?________________________________________________________________________________________________________________________________7、5张书桌250元,买18张书桌需要多少元?________________________________________________________________________________________________________________________________8、3小时组装36个玩具,组装84个玩具需要多少小时?________________________________________________________________________________________________________________________________9、8支钢笔96元,买25支钢笔需要多少元?________________________________________________________________________________________________________________________________10、6筐橘子90千克,120千克橘子可以装多少筐?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________4、6米彩带可以扎3个花束,扎8个花束需要多少米彩带?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________6、7张报纸重210克,10张报纸重多少克?________________________________________________________________________________________________________________________________7、3个工人1天修路15米,8个工人1天修路多少米?________________________________________________________________________________________________________________________________8、9块橡皮18元,30元可以买多少块橡皮?________________________________________________________________________________________________________________________________9、4盆绿萝16元,班级买19盆绿萝需要多少元?________________________________________________________________________________________________________________________________10、8分钟削24支铅笔,削45支铅笔需要多少分钟?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、3支画笔12元,50元最多可以买多少支画笔?________________________________________________________________________________________________________________________________3、5分钟折25只纸船,折32只纸船需要多少分钟?________________________________________________________________________________________________________________________________4、6箱装48个橙子,55个橙子需要多少个箱子?________________________________________________________________________________________________________________________________5、2小时加工18个零件,加工25个零件需要多少小时?________________________________________________________________________________________________________________________________6、7本笔记本35元,48元最多买多少本笔记本?________________________________________________________________________________________________________________________________7、8米绳子做4根跳绳,做7根跳绳需要多少米绳子?________________________________________________________________________________________________________________________________8、3天种21棵树,种30棵树需要多少天?________________________________________________________________________________________________________________________________9、5瓶墨水25元,38元最多买多少瓶墨水?________________________________________________________________________________________________________________________________10、9分钟洗9个碗,洗20个碗需要多少分钟?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________9、操场周长400米,5分钟跑200米,8分钟可以跑多少米?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________2、6分钟骑行420米,骑行630米需要多少分钟?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________4、9本字帖81元,63元可以买多少本字帖?________________________________________________________________________________________________________________________________5、5天收割45亩水稻,12天可以收割多少亩水稻?________________________________________________________________________________________________________________________________6、2个收纳筐可以装18本书,50本书需要多少个收纳筐?________________________________________________________________________________________________________________________________7、7支口红140元,买22支口红需要多少元?________________________________________________________________________________________________________________________________8、10分钟跳绳500下,跳700下需要多少分钟?________________________________________________________________________________________________________________________________9、4箱荔枝48千克,15箱荔枝重多少千克?________________________________________________________________________________________________________________________________10、6把雨伞90元,100元最多买多少把雨伞?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________3、5天练字45页,9天练字多少页?比6天多练多少页?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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?________________________________________________________________________________________________________________________________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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