数学建模社区-数学中国
标题:
数学中考应用题
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作者:
浅夏110
时间:
2018-11-9 08:55
标题:
数学中考应用题
数学中考应用题
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[size=256px]数学中考应用题训练
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[size=169px]1
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[size=169px]、并购重组已成为企业快速发展的重要举措.创办于
[p=182, null, left]
[size=169px]2013
[p=182, null, left]
[size=169px]年
[p=182, null, left]
[size=169px]1
[p=182, null, left]
[size=169px]月原始资产为
[p=182, null, left]
[size=169px]5000
[p=182, null, left]
[size=169px]万元、
[p=169, null, left]
[size=169px]年均资产增长率为
[p=169, null, left]
[size=169px]10%
[p=169, null, left]
[size=169px]的某汽车制造企业与创办于
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px]月年资产增长率为
[p=169, null, left]
[size=169px]x%
[p=169, null, left]
[size=169px]的某地
[p=169, null, left]
[size=169px]图导航企业在
[p=169, null, left]
[size=169px]2015
[p=169, null, left]
[size=169px]年
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px]月资产、资源得以完美组合,数据统计资产达到
[p=169, null, left]
[size=169px]7200
[p=169, null, left]
[size=169px]万元.重组
[p=169, null, left]
[size=169px]后预计新企业将以高出重组前地图导航企业年资产增长率
[p=169, null, left]
[size=169px]5
[p=169, null, left]
[size=169px]个百分点的速度发展,
[p=169, null, left]
[size=169px]2017
[p=169, null, left]
[size=169px]年
[p=182, null, left]
[size=169px]1
[p=182, null, left]
[size=169px]月资产有望达到
[p=182, null, left]
[size=169px]10368
[p=182, null, left]
[size=169px]万元.
[p=182, null, left]
[size=169px](
[p=182, null, left]
[size=169px]1
[p=182, null, left]
[size=169px])用含
[p=182, null, left]
[size=169px]x
[p=182, null, left]
[size=169px]的代数式表示
[p=182, null, left]
[size=169px]2016
[p=182, null, left]
[size=169px]年
[p=182, null, left]
[size=169px]1
[p=182, null, left]
[size=169px]月新企业的资产;
[p=182, null, left]
[size=169px](
[p=182, null, left]
[size=169px]2
[p=182, null, left]
[size=169px])
[p=169, null, left]
[size=169px]求地图导航企业
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px]月的原始资产。
[p=182, null, left]
[size=169px]2
[p=182, null, left]
[size=169px].今年
[p=182, null, left]
[size=169px]4
[p=182, null, left]
[size=169px]月初某蔬菜批发商用
[p=182, null, left]
[size=169px]4.3
[p=182, null, left]
[size=169px]万元购得
[p=182, null, left]
[size=169px]A
[p=182, null, left]
[size=169px]种蔬菜
[p=182, null, left]
[size=169px]300
[p=182, null, left]
[size=169px]筐,
[p=182, null, left]
[size=169px]B
[p=182, null, left]
[size=169px]种蔬菜
[p=182, null, left]
[size=169px]200
[p=182, null, left]
[size=169px]筐,预计
[p=182, null, left]
[size=169px]4
[p=182, null, left]
[size=169px]月
[p=169, null, left]
[size=169px]可全部销售完这些蔬菜。
[p=169, null, left]
[size=169px](
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px])若两种蔬菜每筐的售价一样,该批发商想通过本次销售至少盈利
[p=169, null, left]
[size=169px]10000
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[size=169px]元,则每筐蔬
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[size=169px]菜至少卖多少元?(总利润
[p=169, null, left]
[size=169px]=
[p=169, null, left]
[size=169px]总销售额
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[size=169px]–
[p=169, null, left]
[size=169px]总成本)
[p=169, null, left]
[size=169px](
[p=169, null, left]
[size=169px]2
[p=169, null, left]
[size=169px])实际销售时,受天气的影响,其中
[p=169, null, left]
[size=169px]B
[p=169, null, left]
[size=169px]种蔬菜保持(
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px])中最低售价不变,而
[p=169, null, left]
[size=169px]A
[p=169, null, left]
[size=169px]种蔬菜
[p=169, null, left]
[size=169px]比(
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px])中的最低售价下降了
[p=155, null, left]
[size=144px]10
[p=155, null, left]
[size=144px]%
[p=155, null, left]
[size=144px]3
[p=155, null, left]
[size=144px]
a
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[size=169px],两种蔬菜的销售量比预计均下降了
[p=182, null, left]
[size=169px]a%
[p=182, null, left]
[size=169px],结果导致
[p=169, null, left]
[size=169px]两种蔬菜的销售总额相等,求
[p=169, null, left]
[size=169px]a
[p=169, null, left]
[size=169px]的值。
[p=181, null, left]
[size=169px]3
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[size=169px]、甲工程队在某工程建设中。以
[p=181, null, left]
[size=169px]m
[p=181, null, left]
[size=169px]元
[p=181, null, left]
[size=169px]/
[p=181, null, left]
[size=169px]包的价格购买本工程所需水泥共花费
[p=181, null, left]
[size=169px]115
[p=181, null, left]
[size=169px]万元,为
[p=169, null, left]
[size=169px]加快整个工程的建设程度,甲工程队决定让出部分工程给新加入的乙工程队,甲工程队
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[size=169px]在预算中多出的水泥将以低于购买价
[p=169, null, left]
[size=169px]3
[p=169, null, left]
[size=169px]元
[p=169, null, left]
[size=169px]/
[p=169, null, left]
[size=169px]包的价格退回水泥厂
[p=169, null, left]
[size=169px](每包水泥重
[p=169, null, left]
[size=169px]50
[p=169, null, left]
[size=169px]千克)
[p=169, null, left]
[size=169px],
[p=169, null, left]
[size=169px]这样,甲工程队购买水泥的实际费用将减少到
[p=169, null, left]
[size=169px]65
[p=169, null, left]
[size=169px]万元,此外,甲工程队施工所需的钢
[p=169, null, left]
[size=169px]材、
[p=169, null, left]
[size=169px]碎石等其他材料开支
[p=169, null, left]
[size=169px]200
[p=169, null, left]
[size=169px]万元,
[p=169, null, left]
[size=169px]工人工资需要
[p=169, null, left]
[size=169px]141
[p=169, null, left]
[size=169px]万元,
[p=169, null, left]
[size=169px]其他支出费用为材料总费
[p=169, null, left]
[size=169px]用(不包含退还水泥损失的资金)的
[p=169, null, left]
[size=169px]80%
[p=169, null, left]
[size=169px]。在正常建设情况下,可以用水泥的使用数量
[p=169, null, left]
[size=169px]来预测整个工程的盈利情况(每包水泥可创造相当于购买价的
[p=169, null, left]
[size=169px]16
[p=169, null, left]
[size=169px]倍的效益),经预测,
[p=169, null, left]
[size=169px]甲工程队完成任务后可获得
[p=169, null, left]
[size=169px]308
[p=169, null, left]
[size=169px]万元的利润
[p=169, null, left]
[size=169px]①用含
[p=169, null, left]
[size=169px]m
[p=169, null, left]
[size=169px]的代数式表示甲工程队退还水泥所损失的资金
[p=169, null, left]
[size=169px]②计算甲工程队在施工中材料费,工人工资和其他费用的总和
[p=169, null, left]
[size=169px]③求减少工程后,甲工程队一共需要使用水泥多少吨
[p=169, null, left]
[size=169px]4.
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[size=169px]【背景资料】
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[size=169px]机器人代替人工生产是国家“中国制造
[p=169, null, left]
[size=169px]2025
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[size=169px]”规划的重要发展方向。据测试,
[p=169, null, left]
[size=169px]A
[p=169, null, left]
[size=169px]型号的一
[p=169, null, left]
[size=169px]台装卸机器人连续工作
[p=169, null, left]
[size=169px]2
[p=169, null, left]
[size=169px]小时,可装卸货物
[p=169, null, left]
[size=169px]54
[p=169, null, left]
[size=169px]吨货物,而
[p=169, null, left]
[size=169px]15
[p=169, null, left]
[size=169px]名装卸工人连续工作
[p=169, null, left]
[size=169px]8
[p=169, null, left]
[size=169px]小时,
[p=169, null, left]
[size=169px]只能装卸货物
[p=169, null, left]
[size=169px]30
[p=169, null, left]
[size=169px]吨。假设在装卸过程中,人均工作效率相同。
[p=169, null, left]
[size=169px]【问题解答】
[p=169, null, left]
[size=169px](
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px])
[p=169, null, left]
[size=169px]一台
[p=169, null, left]
[size=169px]A
[p=169, null, left]
[size=169px]型号装卸机器人一年的装载量,
[p=169, null, left]
[size=169px]由一名装卸工人去完成,
[p=169, null, left]
[size=169px]大约需要多少年?
[p=169, null, left]
[size=169px](一
[p=169, null, left]
[size=169px]年按
[p=169, null, left]
[size=169px]350
[p=169, null, left]
[size=169px]天计算,每天工作
[p=169, null, left]
[size=169px]8
[p=169, null, left]
[size=169px]小时)
[p=169, null, left]
[size=169px]。
[p=169, null, left]
[size=169px](
[p=169, null, left]
[size=169px]2
[p=169, null, left]
[size=169px])某物流公司于
[p=169, null, left]
[size=169px]2013
[p=169, null, left]
[size=169px]年底购买了一台
[p=169, null, left]
[size=169px]A
[p=169, null, left]
[size=169px]型号装卸机器人,并在外高薪聘用了两名懂技
[p=169, null, left]
[size=169px]术的工程师对机器人进行操作、维护,再把若干名装卸机器人进行解聘。已知
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年每名
[p=169, null, left]
[size=169px]工程师创造的收入比每名被解聘的装卸工人
[p=169, null, left]
[size=169px]2013
[p=169, null, left]
[size=169px]年创造的收入多
[p=169, null, left]
[size=169px]m
[p=169, null, left]
[size=169px]倍,且两名工程师创造
[p=169, null, left]
[size=169px]的收入之和是被解聘装卸工人
[p=169, null, left]
[size=169px]2013
[p=169, null, left]
[size=169px]年创造的收入总和的一半。若机器人装卸和人工装卸创
[p=169, null, left]
[size=169px]造的收入都根据装卸量按相同的价格计算收入,那么
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年机器人创造的收入比
[p=169, null, left]
[size=169px]2013
[p=169, null, left]
[size=169px]年
[p=169, null, left]
[size=169px]所有被解聘的装卸工人创造的收入多
[p=169, null, left]
[size=169px]4m
[p=169, null, left]
[size=169px]倍,求
[p=169, null, left]
[size=169px]m
[p=169, null, left]
[size=169px]的值和被解聘的装卸工人人数。
[p=169, null, left]
[size=169px]5.
[p=193, null, left]
[size=193px]【名词解释】
[p=169, null, left]
[size=169px]工厂机器设备的价值每年按相同的百分数减少,比上一年减少的部分称
[p=169, null, left]
[size=169px]为当年机器设备折旧费;不扣除折旧费的利润称为毛利润,从毛利润中扣除当年机器设备
[p=169, null, left]
[size=169px]折旧费后的利润就是净利润.
[p=193, null, left]
[size=193px]【问题解决】
[p=169, null, left]
[size=169px]某公司
[p=169, null, left]
[size=169px]2013
[p=169, null, left]
[size=169px]年初建成并投产,建厂总投资
[p=169, null, left]
[size=169px]1000
[p=169, null, left]
[size=169px]万,这些资金中的
[p=169, null, left]
[size=169px]30
[p=169, null, left]
[size=169px]%用
[p=169, null, left]
[size=169px]于采购生产所需的原材料,剩余资金中一部分用于购买机器设备.据测算,工厂每年的毛
[p=169, null, left]
[size=169px]利润为当年原材料采购费的
[p=169, null, left]
[size=169px]30
[p=169, null, left]
[size=169px]%,
[p=169, null, left]
[size=169px]2013
[p=169, null, left]
[size=169px]年的净利润仅为当年原材料采购费用的六分之一.
[p=169, null, left]
[size=169px](
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px])求
[p=169, null, left]
[size=169px]2013
[p=169, null, left]
[size=169px]年该厂机器设备折旧费;
[p=169, null, left]
[size=169px](
[p=169, null, left]
[size=169px]2
[p=169, null, left]
[size=169px])该公司
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年初又投入若干资金用于采购生产所需的原材料,这些资金恰好和
[p=169, null, left]
[size=169px]2013
[p=169, null, left]
[size=169px]年建厂时购买机器设备的费用相同.若
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年的净利润为
[p=169, null, left]
[size=169px]84
[p=169, null, left]
[size=169px]万,请计算机器设备的价值
[p=169, null, left]
[size=169px]每年减少的百分数.
[p=182, null, left]
[size=169px]6
[p=182, null, left]
[size=169px].
[p=182, null, left]
[size=169px](
[p=182, null, left]
[size=169px]10
[p=182, null, left]
[size=169px]分)
[p=182, null, left]
[size=169px](
[p=182, null, left]
[size=169px]2015
[p=182, null, left]
[size=169px]•
[p=182, null, left]
[size=169px]宜昌)全民健身和医疗保健是社会普遍关注的问题,
[p=182, null, left]
[size=169px]2014
[p=182, null, left]
[size=169px]年,某社区共
[p=169, null, left]
[size=169px]投入
[p=169, null, left]
[size=169px]30
[p=169, null, left]
[size=169px]万元用于购买健身器材和药品.
[p=169, null, left]
[size=169px](
[p=169, null, left]
[size=169px]1
[p=169, null, left]
[size=169px])若
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年社区购买健身器材的费用不超过总投入的
[p=169, null, left]
[size=169px],问
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年最低投入多少万元
[p=169, null, left]
[size=169px]购买药品?
[p=169, null, left]
[size=169px](
[p=169, null, left]
[size=169px]2
[p=169, null, left]
[size=169px])
[p=169, null, left]
[size=169px]2015
[p=169, null, left]
[size=169px]年,该社区购买健身器材的费用比上一年增加
[p=169, null, left]
[size=169px]50%
[p=169, null, left]
[size=169px],购买药品的费用比上一年
[p=169, null, left]
[size=169px]减少
[p=169, null, left]
[size=169px],但社区在这两方面的总投入仍与
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年相同.
[p=169, null, left]
[size=169px]①求
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年社区购买药品的总费用;
[p=169, null, left]
[size=169px]②据统计,
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年该社区积极健身的家庭达到
[p=169, null, left]
[size=169px]200
[p=169, null, left]
[size=169px]户,社区用于这些家庭的药品费用明显
[p=169, null, left]
[size=169px]减少,只占当年购买药品总费用的
[p=169, null, left]
[size=169px],与
[p=169, null, left]
[size=169px]2014
[p=169, null, left]
[size=169px]年相比,如果
[p=169, null, left]
[size=169px]2015
[p=169, null, left]
[size=169px]年社区内健身家庭户数增
[p=169, null, left]
[size=169px]加的百分比与平均每户健身家庭的药品费用降低的百分比相同,那么,
[p=169, null, left]
[size=169px]2015
[p=169, null, left]
[size=169px]年该社区用于
[p=169, null, left]
[size=169px]健身家庭的药品费用就是当年购买健身器材费用的
[p=169, null, left]
[size=169px],求
[p=169, null, left]
[size=169px]2015
[p=169, null, left]
[size=169px]年该社区健身家庭的户数.
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