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1.类推法求n=1,2,3时的解,找出解答的规律,再类推到n. 例1 将一勺温水倒入盛有冷水的量热器内,这时量热器水的温度升高了5℃,再加一勺同样的温水,量热器内水的温度又上升了3℃. 如果不断向量热器内加同样的温水,量热器内水温最终比开始时升高多少? 分析首先列出加一勺温水时的热平衡方程,再列出加二勺水时的方程,依次类推到加n勺水的热平衡方程.
1. Analogy Find the solution for n=1, 2, and 3, find out the solution of the solution, and then analogy to n. Example 1 Pour a spoonful of warm water into a calorimeter containing cold water. Then the calorimeter water The temperature rises by 5°C and a second scoop of the same warm water raises the temperature of the water in the calorimeter by 3°C. If the same warm water is added to the vector heater, the water temperature in the calorimeter eventually rises from the beginning. How much? The analysis first lists the heat balance equation when adding a spoonful of warm water, and then lists the equations when two tablespoons of water are added, followed by analogy with the heat balance equation of n spoonfuls of water.