2026秋小学数学四年级升五年级 植树问题奥数专项15天提升训练

2026秋小学数学四年级升五年级植树问题奥数专项15天提升训练第1天植树问题·两端都栽基础专项训练训练重点：掌握两端都栽核心公式，熟练根据总长、间距求棵数，根据棵数、间距求总长，基础题型零失误1.一条笔直的小路长80米，在小路一侧从头到尾每隔5米栽一棵杨树，两端都栽，一共需要栽多少棵杨树？答：________________________________________________________________________________________________________________________________2.学校走廊长63米，要在走廊一侧摆放绿萝，两端都放，每隔7米放一盆，一共需要摆放多少盆绿萝？答：________________________________________________________________________________________________________________________________3.一段公路长100米，公路两旁从头到尾每隔4米栽一棵梧桐树，两端都栽，一共需要栽多少棵梧桐树？答：________________________________________________________________________________________________________________________________4.在一条长48米的跑道一侧插彩旗，两端都插，每隔6米插一面，一共需要多少面彩旗？答：________________________________________________________________________________________________________________________________5.小区内部步道长72米，计划在步道一侧栽桂花树，两端都栽，每隔8米栽一棵，一共需要多少棵桂花树？答：________________________________________________________________________________________________________________________________6.一条道路一侧栽树，两端都栽，一共栽了25棵树，每两棵树之间间距3米，这条道路总长多少米？答：________________________________________________________________________________________________________________________________7.校门口小路一侧摆放鲜花，两端都摆，共摆放31盆花，相邻两盆花间距2米，这条小路长多少米？答：________________________________________________________________________________________________________________________________8.笔直的河堤一侧栽柳树，两端都栽，总共有46棵柳树，间距5米，河堤的长度是多少米？答：________________________________________________________________________________________________________________________________9.公园主干道长90米，一侧从头到尾栽松树，两端都栽，一共栽了19棵，每两棵松树之间的间距是多少米？答：________________________________________________________________________________________________________________________________10.乡村公路一侧安装路灯，两端都装，公路长120米，共安装25盏路灯，相邻两盏路灯间距多少米？答：________________________________________________________________________________________________________________________________第2天植树问题·两端都栽变式提升训练训练重点：攻克两旁栽树、间距变化、数量差值类变式题，突破基础易错点1.一条长150米的大道，在道路两旁从头到尾每隔6米栽一棵玉兰树，两端都栽，一共需要栽多少棵玉兰树？答：________________________________________________________________________________________________________________________________2.体育馆外围通道长84米，通道两侧插彩旗，两端都插，每隔4米插一面，一共需要多少面彩旗？答：________________________________________________________________________________________________________________________________3.一条小路长60米，两端都栽树，原本每隔5米栽一棵，现在改为每隔4米栽一棵，这条小路一侧需要重新栽多少棵树？答：________________________________________________________________________________________________________________________________4.马路一侧栽树，两端都栽，栽了36棵，间距4米，现在调整间距为6米，现在需要栽多少棵树？答：________________________________________________________________________________________________________________________________5.学校操场旁小路两旁栽树，两端都栽，一共栽了42棵树，每两棵树间距3米，这条小路长多少米？答：________________________________________________________________________________________________________________________________6.一段公路两旁安装路灯，两端都装，共安装52盏路灯，间距8米，这段公路总长多少米？答：________________________________________________________________________________________________________________________________7.在一条长108米的笔直道路一侧栽树，两端都栽，已知一共栽了13棵树，相邻两棵树的间距是多少米？答：________________________________________________________________________________________________________________________________8.公园步道长132米，两侧栽花，两端都栽，一共栽了46盆花，相邻两盆花间距多少米？答：________________________________________________________________________________________________________________________________9.一条道路两端都栽树，一侧栽树28棵，若间距从5米改为7米，会减少多少棵树？答：________________________________________________________________________________________________________________________________10.笔直的河堤长200米，两侧栽柳树，两端都栽，每隔8米栽一棵，一共需要栽多少棵柳树？答：________________________________________________________________________________________________________________________________第3天植树问题·一端栽一端不栽基础专项训练训练重点：区分一端栽一端不栽题型特征，牢记棵数=间隔数公式，熟练基础计算1.小区围墙一侧栽树，围墙一端是大门不栽树，另一端栽树，围墙长60米，每隔5米栽一棵，一共栽多少棵树？答：________________________________________________________________________________________________________________________________2.一条公路一端连接桥梁不栽树，另一端栽树，公路长96米，每隔6米栽一棵杨树，一共栽多少棵？答：________________________________________________________________________________________________________________________________3.花园小道一侧摆放盆栽，小道一端是花坛不摆放，另一端摆放，小道长48米，每隔4米摆一盆，一共摆多少盆？答：________________________________________________________________________________________________________________________________4.河道一侧栽芦苇，一端是水闸不栽，另一端栽，河道长70米，每隔7米栽一丛，一共栽多少丛芦苇？答：________________________________________________________________________________________________________________________________5.校园围墙长88米，一端有门卫室不栽树，一端栽树，每隔8米栽一棵梧桐树，一共栽多少棵？答：________________________________________________________________________________________________________________________________6.一段围墙一侧栽树，一端不栽一端栽，一共栽了18棵树，间距4米，围墙长多少米？答：________________________________________________________________________________________________________________________________7.小路一侧摆花，一端不摆一端摆，共摆24盆花，间距3米，小路总长多少米？答：________________________________________________________________________________________________________________________________8.河堤一侧栽树，一端不栽一端栽，共栽30棵树，间距6米，河堤长度是多少米？答：________________________________________________________________________________________________________________________________9.长72米的围墙，一端不栽树一端栽树，一共栽了12棵树，相邻两棵树间距多少米？答：________________________________________________________________________________________________________________________________10.长110米的公路，一端不栽一端栽树，共栽22棵树，树的间距是多少米？答：________________________________________________________________________________________________________________________________第4天植树问题·一端栽一端不栽变式提升训练训练重点：掌握两旁栽种、间距调整、场景变式题型，区分与两端栽树的差异1.小区两道平行围墙，每道围墙长75米，一端不栽树一端栽树，每隔5米栽一棵桂花树，两道围墙一共栽多少棵？答：________________________________________________________________________________________________________________________________2.学校两条走廊，每条长66米，一端不摆花一端摆花，每隔6米摆一盆绿萝，两条走廊一共摆多少盆？答：________________________________________________________________________________________________________________________________3.一条长80米的小路，一端不栽一端栽树，原间距5米，现改为4米，现在需要栽多少棵树？答：________________________________________________________________________________________________________________________________4.围墙一侧一端不栽一端栽树，共栽20棵，间距4米，调整间距为5米后，需要栽多少棵树？答：________________________________________________________________________________________________________________________________5.两条相同长度的河堤，一侧一端不栽一端栽树，两条河堤共栽36棵树，间距6米，每条河堤长多少米？答：________________________________________________________________________________________________________________________________6.公路两侧栽树，每侧都是一端不栽一端栽，两侧共栽48棵，间距7米，公路总长多少米？答：________________________________________________________________________________________________________________________________7.长126米的道路一侧，一端不栽一端栽树，共栽21棵，树的间距是多少米？答：________________________________________________________________________________________________________________________________8.两段同样长的小路，一端不摆一端摆花，两段小路共摆32盆，间距4米，每段小路长多少米？答：________________________________________________________________________________________________________________________________9.90米长的围墙一端不栽一端栽树，原间距6米，改为3米后，增加多少棵树？答：________________________________________________________________________________________________________________________________10.140米长的河道一侧栽树，一端不栽一端栽，每隔7米栽一棵，一共栽多少棵？若栽两遍共多少棵？答：________________________________________________________________________________________________________________________________第5天植树问题·两端都不栽基础专项训练训练重点：掌握两端都不栽核心公式，明确棵数比间隔数少1，夯实基础题型1.两栋居民楼之间的小路长50米，在小路两侧栽树，两端是楼房不栽树，每隔5米栽一棵，一侧栽多少棵？答：________________________________________________________________________________________________________________________________2.两座教学楼之间通道长72米，两端不栽树，每隔8米栽一棵冬青，一共栽多少棵？答：________________________________________________________________________________________________________________________________3.两根电线杆之间距离60米，中间栽树，两端不栽，每隔6米栽一棵，一共栽多少棵？答：________________________________________________________________________________________________________________________________4.小区两花坛之间步道长42米，两端不摆花，每隔7米摆一盆鲜花，一共摆多少盆？答：________________________________________________________________________________________________________________________________5.公路两座桥之间路段长84米，两端不栽树，每隔4米栽一棵柳树，一共栽多少棵？答：________________________________________________________________________________________________________________________________6.两楼之间栽树，两端都不栽，一共栽了15棵树，间距4米，两楼之间距离多少米？答：________________________________________________________________________________________________________________________________7.两根路灯杆之间摆花，两端不摆，共摆22盆，间距3米，两根路灯杆相距多少米？答：________________________________________________________________________________________________________________________________8.两座亭子之间栽树，两端不栽，共栽28棵，间距5米，亭子之间距离多少米？答：________________________________________________________________________________________________________________________________9.两栋楼相距66米，中间两端不栽树，栽了10棵树，树的间距是多少米？答：________________________________________________________________________________________________________________________________10.两段围墙相距90米，中间两端不栽树，栽了14棵，相邻两棵树间距多少米？答：________________________________________________________________________________________________________________________________第6天植树问题·两端都不栽变式提升训练训练重点：攻克两侧栽种、间距变更、距离换算变式题，规避公式混用错误1.两栋大楼之间通道长120米，通道两侧栽树，两端不栽，每隔6米栽一棵，两侧一共栽多少棵树？答：________________________________________________________________________________________________________________________________2.四条两两相对的围墙，每对围墙间距80米，中间两端不栽树，每隔5米栽一棵，四组间距一共栽多少棵？答：________________________________________________________________________________________________________________________________3.两楼之间距离70米，两端不栽树，原间距7米，现改为5米，现在可以栽多少棵树？答：________________________________________________________________________________________________________________________________4.两杆之间两端不栽树，原有12棵树，间距5米，调整间距为4米后，有多少棵树？答：________________________________________________________________________________________________________________________________5.两条平行通道，每条通道两端不栽树，每条栽18棵，间距6米，每条通道两端建筑间距多少米？答：________________________________________________________________________________________________________________________________6.通道两侧两端不栽树，两侧共栽60棵树，间距4米，通道两端距离多少米？答：________________________________________________________________________________________________________________________________7.两楼相距104米，中间两端不栽树，共栽24棵，树的间距是多少米？答：________________________________________________________________________________________________________________________________8.两段建筑间距相同，均两端不摆花，两段共摆44盆，间距5米，每段建筑间距多少米？答：________________________________________________________________________________________________________________________________9.80米建筑间距，两端不栽树，原间距8米，改为4米后，增加多少棵树？答：________________________________________________________________________________________________________________________________10.150米的楼间通道，两端不栽树，每隔10米栽一棵，两侧一共栽多少棵树？答：________________________________________________________________________________________________________________________________第7天植树问题·封闭图形基础专项训练训练重点：掌握圆形、正方形封闭图形公式，牢记棵数=间隔数，突破封闭图形专属题型1.一个圆形花坛周长60米，沿着花坛边缘每隔5米栽一棵月季花，一共需要栽多少棵？答：________________________________________________________________________________________________________________________________2.圆形池塘周长88米，沿池塘边每隔8米栽一棵柳树，一共栽多少棵柳树？答：________________________________________________________________________________________________________________________________3.正方形花坛边长15米，沿着花坛四周每隔3米栽一棵冬青，一共栽多少棵？答：________________________________________________________________________________________________________________________________4.正方形草坪边长20米，四周每隔4米插一面彩旗，一共插多少面彩旗？答：________________________________________________________________________________________________________________________________5.圆形广场周长120米，沿广场边缘每隔6米安装一盏路灯，一共安装多少盏？答：________________________________________________________________________________________________________________________________6.圆形花坛四周栽花，一共栽了24盆，间距4米，花坛周长多少米？答：________________________________________________________________________________________________________________________________7.正方形花园四周栽树，共栽32棵，间距3米，花园周长多少米？答：________________________________________________________________________________________________________________________________8.圆形人工湖四周种树，共栽45棵，间距5米，人工湖周长多少米？答：________________________________________________________________________________________________________________________________9.周长96米的圆形公园，四周栽树，一共栽16棵，相邻两棵树间距多少米？答：________________________________________________________________________________________________________________________________10.周长144米的正方形园区，四周插彩旗，共插36面，彩旗间距多少米？答：________________________________________________________________________________________________________________________________第8天植树问题·封闭图形变式提升训练训练重点：掌握长方形、多边形、内外双层封闭图形题型，熟练周长、边长换算1.长方形花园长30米、宽18米，沿花园四周每隔6米栽一棵桂花树，一共栽多少棵？答：________________________________________________________________________________________________________________________________2.长方形操场长40米、宽24米，四周每隔8米插一面彩旗，四个角都插，一共插多少面？答：________________________________________________________________________________________________________________________________3.圆形花坛周长72米，原间距6米栽花，现改为4米，现在一共栽多少盆花？答：________________________________________________________________________________________________________________________________4.正方形花坛四周栽树，原有20棵，间距4米，调整间距为5米后，栽多少棵树？答：________________________________________________________________________________________________________________________________5.正六边形花坛周长90米，四周均匀栽花，一共栽30盆，间距多少米？答：________________________________________________________________________________________________________________________________6.长方形园区四周安装路灯，共28盏，间距5米，园区周长多少米？答：________________________________________________________________________________________________________________________________7.内外两层圆形花坛，内层周长40米，外层周长60米，内层每隔4米栽花，外层每隔5米栽花，两层一共栽多少盆？答：________________________________________________________________________________________________________________________________8.正方形草坪边长25米，四周每隔5米栽一棵灌木，四个角都栽，一共栽多少棵？答：________________________________________________________________________________________________________________________________9.圆形湖面周长180米，原每隔9米栽树，现改为6米，增加多少棵树？答：________________________________________________________________________________________________________________________________10.长方形果园长50米、宽34米，四周每隔8米栽一棵果树，一共栽多少棵？答：________________________________________________________________________________________________________________________________第9天植树问题·四大题型辨析专项（基础混合）训练重点：自主判断题型、匹配对应公式，解决基础混合题型混淆问题1.一条笔直小路长75米，一侧从头到尾每隔5米栽树，两端都栽，一共栽多少棵？答：________________________________________________________________________________________________________________________________2.两栋楼之间相距64米，两端不栽树，每隔8米栽一棵，一共栽多少棵？答：________________________________________________________________________________________________________________________________3.圆形水池周长80米，四周每隔5米栽一棵睡莲，一共栽多少棵？答：________________________________________________________________________________________________________________________________4.围墙长70米，一端是大门不栽树，一端栽树，每隔7米栽一棵，一共栽多少棵？答：________________________________________________________________________________________________________________________________5.道路一侧两端都栽树，共33棵，间距3米，道路总长多少米？答：________________________________________________________________________________________________________________________________6.两杆之间两端不栽树，栽19棵，间距4米，两杆间距多少米？答：________________________________________________________________________________________________________________________________7.正方形花坛周长100米，四周栽25棵花，间距多少米？答：________________________________________________________________________________________________________________________________8.围墙一端不栽一端栽，栽26棵树，间距5米，围墙长多少米？答：________________________________________________________________________________________________________________________________9.96米笔直道路两端都栽树，栽17棵，间距多少米？答：________________________________________________________________________________________________________________________________10.长方形花坛长28米、宽12米，四周每隔4米栽树，一共栽多少棵？答：________________________________________________________________________________________________________________________________第10天植树问题·四大题型辨析专项（提升混合）训练重点：混合题型快速辨析，结合两侧栽种、间距变更，提升综合解题能力1.120米大道两侧两端都栽树，每隔6米一棵，一共栽多少棵？答：________________________________________________________________________________________________________________________________2.90米楼间通道两侧两端不栽树，每隔5米一棵，一共栽多少棵？答：________________________________________________________________________________________________________________________________3.圆形广场周长150米，每隔6米装一盏灯，一共装多少盏？答：________________________________________________________________________________________________________________________________4.84米围墙两侧，一端不栽一端栽树，每隔7米一棵，一共栽多少棵？答：________________________________________________________________________________________________________________________________5.道路两端都栽，29棵树，间距4米，改间距为8米，现在栽多少棵？答：________________________________________________________________________________________________________________________________6.楼间两端不栽，17棵树，间距5米，改间距为4米，现在栽多少棵？答：________________________________________________________________________________________________________________________________7.正方形边长18米，四周每隔3米栽树，去掉四个角的树，能栽多少棵？答：________________________________________________________________________________________________________________________________8.100米围墙一端不栽一端栽，20棵树，改间距为4米，增加多少棵？答：________________________________________________________________________________________________________________________________9.长方形长36米、宽24米，四周每隔6米插旗，一共插多少面？答：________________________________________________________________________________________________________________________________10.圆形池塘周长126米，原每隔7米栽树，现每隔9米栽树，减少多少棵？答：________________________________________________________________________________________________________________________________第11天植树问题·奥数必考·锯木头、爬楼梯变式训练重点：掌握植树问题衍生奥数题型，锯木头、爬楼梯本质为两端都栽模型变式核心规律：锯木头：锯的次数=段数-1；爬楼梯：楼层间隔数=终点楼层-起点楼层1.把一根木头锯成5段，每锯一次需要3分钟，一共需要多少分钟？答：________________________________________________________________________________________________________________________________2.一根钢管锯成8段，每锯一次用时4分钟，锯完一共要多少分钟？答：________________________________________________________________________________________________________________________________3.一根木材锯一次需要5分钟，一共用了20分钟，这根木材被锯成了几段？答：________________________________________________________________________________________________________________________________4.工人锯木头，用时36分钟，每锯一次6分钟，木头被锯成多少段？答：________________________________________________________________________________________________________________________________5.小明从1楼爬到4楼需要9分钟，照这样计算，从1楼爬到8楼需要多少分钟？答：________________________________________________________________________________________________________________________________6.小红从2楼爬到5楼需要6分钟，从5楼爬到10楼需要多少分钟？答：________________________________________________________________________________________________________________________________7.一栋楼房每层楼梯用时2分钟，从1楼爬到6楼，一共需要多少分钟？答：________________________________________________________________________________________________________________________________8.一根木头锯成4段需要12分钟，锯成7段需要多少分钟？答：________________________________________________________________________________________________________________________________9.小刚爬楼梯，从3楼到7楼用时8分钟，他从1楼到9楼需要多久？答：________________________________________________________________________________________________________________________________10.两根同样的木头，每根锯成6段，每锯一次3分钟，一共需要多少分钟？答：________________________________________________________________________________________________________________________________第12天植树问题·奥数必考·敲钟、排队变式训练重点：掌握敲钟、排队奥数题型，核心匹配两端都栽植树模型，突破易错点核心规律：敲钟：间隔数=敲钟次数-1；排队：人数=间隔数+11.一座时钟5点敲5下，用时8秒，10点敲10下，需要多少秒？答：________________________________________________________________________________________________________________________________2.钟表3点敲3下，4秒敲完，7点敲7下，几秒敲完？答：________________________________________________________________________________________________________________________________3.时钟敲4下用时6秒，敲8下需要多少秒？答：________________________________________________________________________________________________________________________________4.学校钟声6下用时10秒，12下需要多少秒？答：________________________________________________________________________________________________________________________________5.同学们排队做操，一排有28人，每两人之间间距1米，这排队伍长多少米？答：________________________________________________________________________________________________________________________________6.一队学生排队，队伍长40米，每两人间距2米，这队学生有多少人？答：________________________________________________________________________________________________________________________________7.36名同学排队，前后两人间距1.5米，队伍总长多少米？答：________________________________________________________________________________________________________________________________8.时钟敲钟用时15秒，敲了6下，敲9下需要多少秒？答：________________________________________________________________________________________________________________________________9.两列相同人数的队伍，每列长33米，间距1米，每列多少人？两列共多少人？答：________________________________________________________________________________________________________________________________10.钟表8点敲8下，用时14秒，4点敲4下用时多少秒？答：________________________________________________________________________________________________________________________________第13天植树问题·直线题型综合奥数拔高训练重点：直线三类植树问题综合拔高，攻克多条件、多步骤奥数难题1.一条长240米的公路，两侧栽树，两端都栽，原间距8米，现改为6米，需要补种多少棵树？答：________________________________________________________________________________________________________________________________2.两栋楼相距108米，两端不栽树，原间距6米，现改为4米，有多少棵树不需要移动？答：________________________________________________________________________________________________________________________________3.一段围墙长120米，一端不栽一端栽树，原间距5米，现改为8米，需要移除多少棵树？答：________________________________________________________________________________________________________________________________4.道路一侧两端都栽树，共41棵，间距5米，若砍掉两端的树，变成两端不栽，现在有多少棵树？答：________________________________________________________________________________________________________________________________5.90米小路，先两端都栽，间距5米，再改成一端栽一端不栽，间距不变，减少多少棵树？答：________________________________________________________________________________________________________________________________6.两楼之间80米，两端不栽，栽19棵树，现在增加间距，改为10米一棵，需要去掉多少棵？答：________________________________________________________________________________________________________________________________7.160米大道两侧，一端不栽一端栽，原间距8米，现改为4米，一共增加多少棵树？答：________________________________________________________________________________________________________________________________8.一条道路两端都栽37棵树，间距4米，若改为两端不栽，间距不变，现在棵数是多少？答：________________________________________________________________________________________________________________________________9.72米通道，两端不栽树，原9米一棵，现6米一