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单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,#,租船问题,四则混合运算的应用,从图中你获得了哪些信息?,会提什么数学问题?,人数:,32,人,小船,:,租金,24,元,/,条,人数,4,人,/,条,大船,:,租金,30,元,/,条,人数,6,人,/,条,怎样租船最省钱?,阅读与理解,6,元,/,座,5,元,/,座,我的发现:大船的人均租金更便宜。,分析与解答,方案一:,如果都,租,小船需要多少钱?,32,4=8,(,条,),24,8=192,(元),方案,:,如果都,租,大船需要多少钱?,32,6=5,(,条,),2,(人),5+1,6,(条),30,6=180,(元),假,设,你发现了什么?,没坐满,,浪费钱!,人均租金贵,,不省钱!,分析与解答,6,人、,6,人、,6,人、,6,人、,6,人、,2,人,调,整,大船、大船、 大船、 大船、 大船、,5,条,大,船,和,1,条,小,船,还能怎样调整?,方案,:,如果都,租,大船需要多少钱?,32,6=5,(,条,),2,(人),5+1,6,(条),30,6=180,(元),大船,小船,30,5+24,1=174,(元),租,5,条,大,船,和,1,条,小,船,,有没有空位?,分析与解答,6,人、,6,人、,6,人、,6,人、,4,人、,4,人,大船、大船、 大船、 大船、 小船、小船,租,4,条,大,船,和,2,条,小,船,,正好没有空位。,还有其他的方案吗?,4,条大船:,30,4,120,(元),2,条小船:,24,2=48,(元),合计:,120+48,168,(元),小船条数,大船条数,搭载人数,空座位数,租船费用,租船,方案,小船条数,大船条数,6,搭载人数,空座位数,租船费用,租船,方案,小船条数,0,大船条数,6,搭载人数,36,空座位数,4,租船费用,180,租船,方案,小船条数,0,大船条数,6,5,搭载人数,36,空座位数,4,租船费用,180,租船,方案,小船条数,0,1,大船条数,6,5,搭载人数,36,34,空座位数,4,2,租船费用,180,174,租船,方案,小船条数,0,1,大船条数,6,5,4,搭载人数,36,34,空座位数,4,2,租船费用,180,174,租船,方案,小船条数,0,1,2,大船条数,6,5,4,搭载人数,36,34,32,空座位数,4,2,0,租船费用,180,174,168,租船,方案,小船条数,0,1,2,大船条数,6,5,4,3,搭载人数,36,34,32,空座位数,4,2,0,租船费用,180,174,168,租船,方案,小船条数,0,1,2,4,大船条数,6,5,4,3,搭载人数,36,34,32,34,空座位数,4,2,0,2,租船费用,180,174,168,186,租船,方案,小船条数,0,1,2,4,大船条数,6,5,4,3,2,搭载人数,36,34,32,34,空座位数,4,2,0,2,租船费用,180,174,168,186,租船,方案,小船条数,0,1,2,4,5,大船条数,6,5,4,3,2,搭载人数,36,34,32,34,32,空座位数,4,2,0,2,0,租船费用,180,174,168,186,180,租船,方案,小船条数,0,1,2,4,5,大船条数,6,5,4,3,2,1,搭载人数,36,34,32,34,32,空座位数,4,2,0,2,0,租船费用,180,174,168,186,180,租船,方案,小船条数,0,1,2,4,5,7,大船条数,6,5,4,3,2,1,搭载人数,36,34,32,34,32,34,空座位数,4,2,0,2,0,2,租船费用,180,174,168,186,180,198,租船,方案,小船条数,0,1,2,4,5,7,大船条数,6,5,4,3,2,1,0,搭载人数,36,34,32,34,32,34,空座位数,4,2,0,2,0,2,租船费用,180,174,168,186,180,198,租船,方案,小船条数,0,1,2,4,5,7,8,大船条数,6,5,4,3,2,1,0,搭载人数,36,34,32,34,32,34,32,空座位数,4,2,0,2,0,2,0,租船费用,180,174,168,186,180,198,192,租船,方案,小船条数,0,1,2,4,5,7,8,大船条数,6,5,4,3,2,1,0,搭载人数,36,34,32,34,32,34,32,空座位数,4,2,0,2,0,2,0,租船费用,180,174,168,186,180,198,192,答:租,4,条大船、,2,条小船最省钱,需要,168,元。,租船,方案,怎样书写简洁明了?,解决租船(或租车)问题时,尽量租,人均租金便宜,的船(或车),,正好没有空位,时最省钱。,列表法,回顾与反思,数学方法,获取信息,分析解答,比较优化,再调整,先假设,数学方法,回顾与反思,从图中你获得了哪些信息?,要解决什么数学问题?,大车辆数,9,8,7,6,小车辆数,0,1,3,5,搭载人数,360,340,340,340,空座位数,20,0,0,0,租车费用,8100,7700,7800,7900,答:租,8,辆大车、,1,辆小车最省钱,需要,7700,元。,租,车方案,写法一:,方案一:,假设都租大车,(,9,辆),326+14=340,(人),34040=8,(辆),20,(人),900,(,8+1,),=8100,(元),方案二:,假设都租小车,(,17,辆),34020=17,(辆),17500=8500,(元),方案三:,假设租,8,辆大车,,1,辆小车,408+201,340,(人),9008+1500=7700,(元),答:因为,7700,7800,8100,8500,,,所以租,8,辆大车,,1,辆小车最省钱,要,7700,元。,。,写法二:,方案四:,假设租,7,辆大车,,3,辆小车,407+203,340,(人),9007+5003=7800,(元),你学到了什么?,解决租船(或租车)问题时,尽量租,人均租金便宜,的船(或车),,正好没有空位,时最省钱。,课堂总结,
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