流水行船问题的解法（The problem of water solution of sailing）.docVIP

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流水行船问题的解法（The problem of water solution of sailing）.doc

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流水行船问题的解法（The problem of water solution of sailing）

流水行船问题的解法（The problem of water solution of sailing） The problem of water flow is often tested The ship is sailing in the river, in addition to its speed, but also by the flow of the top push or inverse calculation in this case the ships sailing speed, and the time for the journey, called water boat problem. The water boat problem, is a problem in the journey, so the itinerary problem in three quantities (velocity, time, distance) relationship will be used repeatedly here. In addition, the water boat problems are the following two basic formula: Sailing speed = speed + water velocity, (1) Speed = speed - up speed of water (2). Here, the speed refers to the ships speed, the distance traveled is in still in unit time. Water velocity refers to water flows in unit time distance. Sailing speed and speed up to sail upstream and downstream sailing ship in the unit of time for the journey. According to the relation between reciprocal addition and inverse operation, the formula (L) can be used: Water speed = speed sailing speed, Speed = speed - the speed of water downstream. By formula (2) can be obtained: Water speed = speed - up speed, Speed = speed + water speed up. That is to say, as long as you know the speed of the ship in the still water, the actual speed of the ship and the speed of water, any two of the three quantities, you can find third quantities. In addition, the ships speed and sailing against the known speed, according to the formula (1) and the formula (2), addition and subtraction can be obtained: Speed = (sailing speed + current speed) / 2, The water speed (speed up = smooth speed) / 2. 1 cases of a and B two between port waterway 208 km long, a ship from a port to port B, sailing 8 hours, a return to Hong Kong from port B, upstream reach 13 hours, for the ship in still water speed and water flow velocity. According to the analysis, to calculate the speed and the speed of water, according to the basic relationship between the number of above to calculate th