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假设法是数学中常用的一种思维方法。有些应用题要求两个或两个以上的未知数,思考的时候,可以假设要求的两个或几个未知数量相等,或者先假设要求的一个未知数量是题里的某一已知数量,然后按照题里的已知条件推算,最后加以适当调整,即可找到正确的答案。 例1.三只船共运木板9300块。甲船比乙船多运300块,丙船比乙船少运600块。三船各运多少块? 思路:假设甲、乙、丙三船运的木板块数—样多,那么甲船就要比原来少运300块,丙船就要比原来多运600块。这样,三船运的总块数就成为(9300-300+600)块,恰好是乙船运的块数的3倍,从而可以求出乙船运的块数。
Hypothesis method is a commonly used method of thinking in mathematics. Some applications require two or more unknowns, thinking time, you can assume that two or more of the required number of unknown equal, or first assume that an unknown number of questions is a known number of questions, and then follow the Known in the title of the known conditions, the final adjustment, you can find the correct answer. Example 1. Three boats shipped a total of 9300 pieces of wood. More than 300 vessels A and B, C and less than 600 vessels. Three ships shipped by how many blocks? Thinking: Assuming A, B, C three shipments of wood - as many, then less than the original 300 A ship, C ship more than the original 600. In this way, the total number of shipments of the three ships becomes (9300-300 + 600) pieces, which is exactly 3 times the number of pieces shipped by the B ship, so that the number of pieces shipped by the B ship can be calculated.