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14. 解:(1)设每条成衣生产线和童装生产线平均每天生产帐篷各x、y顶,则

解得x=41,y=32.

答:每条成衣生产线平均每天生产帐篷41顶,每条童装生产线平均每天生产帐篷32顶.

(2)由3(4×41+5×32)=972<1000知,即使工厂满负荷全面转产,还不能如期完成任务.

可以从加班生产、改进技术等方面进一步挖掘生产潜力,或者动员其它厂家支援等,想法尽早完成生产任务,为灾区人民多做贡献.

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13. 解:设原计划每天挖土石方x万立方米,增调人员和设备后每天挖y万立方米

    可列出方程组:

    解之得:

  答:原计划每天挖土石方1.3万立方米,增调人员和设备后每天挖3.6万立方米

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12. 解:(1)设总厂原来每周制作帐篷千顶,分厂原来每周制作帐篷千顶.

由题意,得························································································ 3分

解得所以(千顶),(千顶).

答:在赶制帐篷的一周内,总厂、分厂各生产帐篷8千顶、6千顶.································ 6分

(2)设从(甲市)总厂调配千顶帐篷到灾区的地,则总厂调配到灾区地的帐篷为千顶,(乙市)分厂调配到灾区两地的帐篷分别为千顶.

甲、乙两市所需运送帐篷的车辆总数为辆.································································ 8分

由题意,得

.······················································································· 10分

因为,所以的增大而减小.

所以,当时,有最小值60.

答:从总厂运送到灾区地帐篷8千顶,从分厂运送到灾区两地帐篷分别为1千顶、5千顶时所用车辆最少,最少的车辆为60辆.    12分

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11. 解:设生产奥运会标志x套,生产奥运会吉祥物y套.根据题意,得

  …………………………………………2分

①×2-②得:5x=10000. 

x=2000. ………………………………………………………………6分

x=2000代入①得:5y=12000.

     ∴ y=2400.  

   答:该厂能生产奥运会标志2000套,生产奥运会吉祥物2400套.……8分

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10. (1)甲队行进了2小时,乙队行进了2.5小时.

设乙队的速度为x,则甲队为1.5x + 5.

由题意得方程  2.5x +(1.5x + 5)×2 + 1 = 176.

整理得 5.5x = 165, 解得 x = 30.

∴  1.5x + 5 = 1.5×30 + 5 = 50.

即甲队赶路的速度为50 km∕h,乙队赶路的速度为30 km∕h.

(2)设若由乙队单独施工,需x小时才能完成.

则由题意有  6×()+ 5.5×= 1.

解得  x = 11.

即乙队单独做,需要11小时才能完成任务.

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9. 解:(1)设小明他们一共了个成人,个学生,

·································································································· 4分

······················································································································ 6分

答:小明他们一共去了7个成人,4个学生.··································································· 7分

(2)若按14人购买团体票,则共需(元)

(元).

购买团体票可省24元.······························································································· 3分

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8. 解  ∵

由②得,③  ································································································ 2分

将③代入①,得.解得.代入③,得

∴原方程组的解为     6分

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7. 解:设生产奥运会标志x套,生产奥运会吉祥物y套,得

解得,答略.

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6. .解:设原计划每天挖土石方x万立方米,增调人员和设备后每天挖y万立方米··················· 1分

    可列出方程组:···································································· 5分

    解之得:

  答:原计划每天挖土石方1.3万立方米,增调人员和设备后每天挖3.6万立方米·········· 8分

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5.

解:设A种帐篷x顶,B种帐篷y顶,根据题意,列方程组

     ……………………………………………4分

解,得          ………………………………………………6分

A种帐篷400顶,B种帐篷200顶.   ………………………………………7分

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