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有的工程应用题条件交错数量关系隐蔽,而用重新组合法,重组应用题中的条件,往往能使数量关系明朗,使难题变易。 1.对工作过程进行重新组合。例1.某工程由甲队单独做63天,再由乙队单独做28天即可完成。如果两队共同工作则48天可以完成。现在先由甲队单独做42天后,由乙队继续完成剩下的工作,那么乙队还要做多少天? 分析及解:利用甲乙两队共同每天完成1/48的条件,对条件①进行重组,即变“甲队单独做63天,再由乙队单独做28天完成”为“甲乙两队共同工作28天,甲队再单独做63-28=35天完成”。这样即可得到甲每天工作量。
Some engineering application questions are staggered in terms of the number of interlacing conditions. However, the conditions in the application questions can be reconstructed by regrouping, and the relationship between quantity and quantity can often be made clear, making the problem easy to change. Reorganize the work process Example 1. A project by the team alone do 63 days, and then by the team alone to do 28 days to complete. If the two teams work together 48 days can be completed. Now the team A alone to do 42 days after the second team to continue to complete the rest of the work, then the team how many days to do? Analysis and solution: the use of both teams together to complete the day and a quarter of 48 conditions, the conditions of ① Reorganization, that is, “A team alone to do 63 days, and then by the B team alone to do 28 days” for “A and B two teams work together 28 days, A team alone and then do 63-28 = 35 days to complete.” So you can get a daily workload.