2026秋小学数学四升五暑假专项提升12天-租船租车最优方案必考实操训练

2026秋小学数学四升五暑假专项提升12天——租船租车最优方案必考实操训练第1天租船最优方案·基础专项（单一租赁入门）核心条件：大船单价贵、载人多；小船单价便宜、载人少基础数据：大船限坐6人，每条30元；小船限坐4人，每条20元1、一共有24名同学去划船，只租大船，需要租几条？一共花费多少钱？________________________________________________________________________________________________________________________________________________________________________________________________2、一共有24名同学去划船，只租小船，需要租几条？一共花费多少钱？________________________________________________________________________________________________________________________________________________________________________________________________3、30名同学划船，只租大船，需要多少条？总费用多少？________________________________________________________________________________________________________________________________________________________________________________________________4、30名同学划船，只租小船，需要多少条？总费用多少？________________________________________________________________________________________________________________________________________________________________________________________________5、18名同学划船，只租大船，计算租赁数量和总花费________________________________________________________________________________________________________________________________________________________________________________________________6、18名同学划船，只租小船，计算租赁数量和总花费________________________________________________________________________________________________________________________________________________________________________________________________7、22名同学划船，只租大船，需要几条船？多少钱？________________________________________________________________________________________________________________________________________________________________________________________________8、22名同学划船，只租小船，需要几条船？多少钱？________________________________________________________________________________________________________________________________________________________________________________________________9、28名同学划船，分别计算只租大船、只租小船的总费用，对比哪种单一租赁更划算________________________________________________________________________________________________________________________________________________________________________________________________10、16名同学划船，单一租赁两种船只，分别算出总价，判断最优单一方案________________________________________________________________________________________________________________________________________________________________________________________________第2天租船最优方案·基础提升（有余数单一租赁）核心条件：大船限坐7人，每条35元；小船限坐5人，每条25元（大船贵、载人多；小船便宜、载人少）1、20名学生划船，只租大船，需要租多少条？总费用多少？________________________________________________________________________________________________________________________________________________________________________________________________2、20名学生划船，只租小船，需要租多少条？总费用多少？________________________________________________________________________________________________________________________________________________________________________________________________3、33名学生划船，只租大船，计算数量和总价________________________________________________________________________________________________________________________________________________________________________________________________4、33名学生划船，只租小船，计算数量和总价________________________________________________________________________________________________________________________________________________________________________________________________5、19名学生划船，只租大船，求租赁数量和花费________________________________________________________________________________________________________________________________________________________________________________________________6、19名学生划船，只租小船，求租赁数量和花费________________________________________________________________________________________________________________________________________________________________________________________________7、40名学生划船，两种单一租赁方式分别计算，对比价格________________________________________________________________________________________________________________________________________________________________________________________________8、27名学生划船，只租大船、只租小船各需要多少钱？________________________________________________________________________________________________________________________________________________________________________________________________9、36名学生划船，单一租赁两种船只，找出更省钱的单一方案________________________________________________________________________________________________________________________________________________________________________________________________10、23名学生划船，计算两种单一租赁总价，说明选择理由________________________________________________________________________________________________________________________________________________________________________________________________第3天租船最优方案·搭配入门（列表枚举初步）核心条件：大船限坐6人30元，小船限坐4人20元；总人数28人解题要求：搭配租赁，列表列举所有可行方案，对比选出最省钱方案1、28人划船，大小船搭配租赁，优先租大船，列举3种搭配方案并算总价________________________________________________________________________________________________________________________________________________________________________________________________2、根据搭配方案，找出28人划船的最优省钱方案________________________________________________________________________________________________________________________________________________________________________________________________3、20人划船，大小船搭配，列举2种搭配方案，计算总价________________________________________________________________________________________________________________________________________________________________________________________________4、对比20人划船搭配方案，选出最优方案________________________________________________________________________________________________________________________________________________________________________________________________5、32人划船，大小船搭配，尽量坐满无空位，设计搭配方案________________________________________________________________________________________________________________________________________________________________________________________________6、32人划船，对比单一租赁和搭配租赁，哪种更划算？________________________________________________________________________________________________________________________________________________________________________________________________7、16人划船，大小船搭配，列举最优搭配方式________________________________________________________________________________________________________________________________________________________________________________________________8、22人划船，搭配租赁，计算不同方案总价________________________________________________________________________________________________________________________________________________________________________________________________9、26人划船，列表整理所有可行搭配方案，标注最便宜方案________________________________________________________________________________________________________________________________________________________________________________________________10、14人划船，单一租赁+搭配租赁全对比，选出终极最优方案________________________________________________________________________________________________________________________________________________________________________________________________第4天租车最优方案·基础专项（单一租赁入门）核心条件：小车单价贵、载人多；大车单价便宜、载人少（贴合题型固定规律）基础数据：小车限坐8人，每辆48元；大车限坐5人，每辆30元1、40名师生乘车，只租小车，需要几辆？总费用多少？________________________________________________________________________________________________________________________________________________________________________________________________2、40名师生乘车，只租大车，需要几辆？总费用多少？________________________________________________________________________________________________________________________________________________________________________________________________3、25名师生乘车，只租小车，计算数量和总价________________________________________________________________________________________________________________________________________________________________________________________________4、25名师生乘车，只租大车，计算数量和总价________________________________________________________________________________________________________________________________________________________________________________________________5、36名师生乘车，只租小车，需要多少辆？花费多少？________________________________________________________________________________________________________________________________________________________________________________________________6、36名师生乘车，只租大车，需要多少辆？花费多少？________________________________________________________________________________________________________________________________________________________________________________________________7、18名师生乘车，单一租赁两种车辆，分别算总价________________________________________________________________________________________________________________________________________________________________________________________________8、45名师生乘车，只租小车、只租大车各需多少钱？________________________________________________________________________________________________________________________________________________________________________________________________9、32名师生乘车，对比两种单一租赁方式，选出省钱方案________________________________________________________________________________________________________________________________________________________________________________________________10、22名师生乘车，单一租赁计算，说明最优选择________________________________________________________________________________________________________________________________________________________________________________________________第5天租车最优方案·有余数单一租赁强化核心条件：小车限坐9人，54元/辆（贵、载人多）；大车限坐6人，36元/辆（便宜、载人少）1、28人乘车出行，只租小车，需要多少辆？总费用多少？________________________________________________________________________________________________________________________________________________________________________________________________2、28人乘车出行，只租大车，需要多少辆？总费用多少？________________________________________________________________________________________________________________________________________________________________________________________________3、50人乘车，只租小车，计算车辆数和总花费________________________________________________________________________________________________________________________________________________________________________________________________4、50人乘车，只租大车，计算车辆数和总花费________________________________________________________________________________________________________________________________________________________________________________________________5、17人乘车，单一租小车，求总价________________________________________________________________________________________________________________________________________________________________________________________________6、17人乘车，单一租大车，求总价________________________________________________________________________________________________________________________________________________________________________________________________7、42人乘车，两种单一租赁对比，选出低价方案________________________________________________________________________________________________________________________________________________________________________________________________8、35人乘车，只租小车、只租大车分别核算费用________________________________________________________________________________________________________________________________________________________________________________________________9、23人乘车，单一租赁最优方案判断并计算________________________________________________________________________________________________________________________________________________________________________________________________10、47人乘车，完整计算两种单一租赁方案总价________________________________________________________________________________________________________________________________________________________________________________________________第6天租车最优方案·搭配列表入门核心条件：小车9人54元，大车6人36元，总人数30人解题要求：列表枚举所有可行搭配方案，无空位优先，对比选最优1、30人乘车，大小车搭配，列举3种租赁方案并计算总价________________________________________________________________________________________________________________________________________________________________________________________________2、筛选30人乘车搭配方案中的最省钱方案________________________________________________________________________________________________________________________________________________________________________________________________3、24人乘车，大小车搭配，设计2种可行方案________________________________________________________________________________________________________________________________________________________________________________________________4、对比24人乘车搭配与单一租赁的价格差异________________________________________________________________________________________________________________________________________________________________________________________________5、36人乘车，搭配租赁，尽量坐满无空位，计算总价________________________________________________________________________________________________________________________________________________________________________________________________6、21人乘车，大小车搭配，列举最优方案________________________________________________________________________________________________________________________________________________________________________________________________7、45人乘车，搭配租赁，多方案对比选最低价格________________________________________________________________________________________________________________________________________________________________________________________________8、15人乘车，单一租赁+搭配租赁全方案对比________________________________________________________________________________________________________________________________________________________________________________________________9、33人乘车，完整列表整理所有搭配可行方案________________________________________________________________________________________________________________________________________________________________________________________________10、27人乘车，选出全局最优租赁方案并说明理由________________________________________________________________________________________________________________________________________________________________________________________________第7天租船问题·全题型混合基础训练通用条件：大船6人30元，小船4人20元1、34人划船，只租大船，计算数量和总价________________________________________________________________________________________________________________________________________________________________________________________________2、34人划船，只租小船，计算数量和总价________________________________________________________________________________________________________________________________________________________________________________________________3、34人划船，大小船搭配，列举2种方案算总价________________________________________________________________________________________________________________________________________________________________________________________________4、选出34人划船最省钱的租赁方案________________________________________________________________________________________________________________________________________________________________________________________________5、12人划船，三种租赁方式（单大船、单小船、搭配）全对比________________________________________________________________________________________________________________________________________________________________________________________________6、38人划船，搭配租赁，尽量无空位，计算总价________________________________________________________________________________________________________________________________________________________________________________________________7、29人划船，单一租赁最优方案计算________________________________________________________________________________________________________________________________________________________________________________________________8、29人划船，搭配租赁最优方案计算________________________________________________________________________________________________________________________________________________________________________________________________9、40人划船，列表整理所有最优搭配方案________________________________________________________________________________________________________________________________________________________________________________________________10、17人划船，全局对比所有租赁方式，选最便宜方案________________________________________________________________________________________________________________________________________________________________________________________________第8天租车问题·全题型混合基础训练通用条件：小车8人48元，大车5人30元1、52人乘车，只租小车，计算车辆数和总费用________________________________________________________________________________________________________________________________________________________________________________________________2、52人乘车，只租大车，计算车辆数和总费用________________________________________________________________________________________________________________________________________________________________________________________________3、52人乘车，大小车搭配，设计2种租赁方案________________________________________________________________________________________________________________________________________________________________________________________________4、筛选52人乘车最优省钱方案________________________________________________________________________________________________________________________________________________________________________________________________5、26人乘车，三种租赁方式全面对比________________________________________________________________________________________________________________________________________________________________________________________________6、38人乘车，搭配租赁无空位方案计算________________________________________________________________________________________________________________________________________________________________________________________________7、43人乘车，单一租赁低价方案选择________________________________________________________________________________________________________________________________________________________________________________________________8、43人乘车，搭配租赁最优方案计算________________________________________________________________________________________________________________________________________________________________________________________________9、19人乘车，列表对比所有可行租赁方案________________________________________________________________________________________________________________________________________________________________________________________________10、48人乘车，选出全局最优租赁方案________________________________________________________________________________________________________________________________________________________________________________________________第9天租船问题·列表枚举专项强化（必考实操）核心条件：大船7人35元，小船5人25元，全程要求列表书写方案1、27人划船，列表列举所有大小船搭配方案，计算每种总价________________________________________________________________________________________________________________________________________________________________________________________________2、根据上表，写出27人划船最优方案及总价________________________________________________________________________________________________________________________________________________________________________________________________3、31人划船，列表整理3种核心搭配方案________________________________________________________________________________________________________________________________________________________________________________________________4、31人划船，对比单一租赁和搭配租赁的差价________________________________________________________________________________________________________________________________________________________________________________________________5、35人划船，列表最优无空位搭配方案________________________________________________________________________________________________________________________________________________________________________________________________6、23人划船，完整列表所有可行租赁方案________________________________________________________________________________________________________________________________________________________________________________________________7、39人划船，搭配租赁优先坐满，计算最低费用________________________________________________________________________________________________________________________________________________________________________________________________8、16人划船，列表对比三种租赁模式价格________________________________________________________________________________________________________________________________________________________________________________________________9、42人划船，通过列表找出绝对最优方案________________________________________________________________________________________________________________________________________________________________________________________________10、19人划船，实操列表解题，书写完整步骤________________________________________________________________________________________________________________________________________________________________________________________________第10天租车问题·列表枚举专项强化（必考实操）核心条件：小车10人60元，大车7人42元（小车贵、载人多；大车便宜、载人少）1、44人乘车，列表列举所有大小车搭配方案，核算总价________________________________________________________________________________________________________________________________________________________________________________________________2、确定44人乘车最省钱租赁方案________________________________________________________________________________________________________________________________________________________________________________________________3、37人乘车，列表整理3种核心搭配方案________________________________________________________________________________________________________________________________________________________________________________________________4、37人乘车，单一租赁与搭配租赁差价对比________________________________________________________________________________________________________________________________________________________________________________________________5、50人乘车，无空位最优搭配方案列表计算________________________________________________________________________________________________________________________________________________________________________________________________6、29人乘车，完整枚举所有可行租赁方案________________________________________________________________________________________________________________________________________________________________________________________________7、41人乘车，搭配租赁最低费用计算________________________________________________________________________________________________________________________________________________________________________________________________8、22人乘车，三种租赁模式列表对比________________________________________________________________________________________________________________________________________________________________________________________________9、53人乘车，列表筛选全局最优方案________________________________________________________________________________________________________________________________________________________________________________________________10、18人乘车，标准实操列表完整解题________________________________________________________________________________________________________________________________________________________________________________________________第11天租船租车混合·基础真题训练题型混合：5道租船+5道租车，单一+搭配全覆盖租船条件：大船6人30元，小船4人20元；租车条件：小车9人54元，大车6人36元1、26人划船，只租大船、只租小船分别算总价________________________________________________________________________________________________________________________________________________________________________________________________2、26人划船，搭配租赁最优方案________________________________________________________________________________________________________________________________________________________________________________________________3、32人划船，全方案对比选最优________________________________________________________________________________________________________________________________________________________________________________________________4、19人划船，列表枚举搭配方案__________________