2.(2008山东济南)解方程:2(x-1)+1=0.
解:2x-2+1=0……1分
2x=1……1分
X=
……3分
17. 解(1)设2007职业中专的在校生为x 万 人
根据题意得:1500×1.2x -1500x =600 ··························································· 3分
解得:
················································ 5分
所以.
····························································································· 7分
答:略. ············································································· 8分
16.
解:方案一获利:4×2000+6×500=11000(元)
方案二:设制奶粉x天,则
1×x+(4-x)×3=10,
得x=1(天)
故1×1×2000+3×3×1200=12800(元)
选方案二.
15. 解:设老师捐款x元,学生捐款y元.则有
![]()
解得
![]()
答:该校老师捐款18000元,学生捐款27000元.
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.
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
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
.
即
.······················································································· 10分
因为
,所以
随
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
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
把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
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.
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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