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归纳法是一种研究问题的基本方法,它是从认识个别的、特殊的事物推出一般原理和普遍事物.特别是数学归纳法对人的思辨性思维要求较高,要根据已有的前提条件,进行归纳和逻辑推导,进而得到最终的结论.在高中物理的许多问题中,数学归纳法都有着极为重要的作用.现举几例加以说明.例1如图1所示电路,AB右侧有无穷多个电阻,每个电阻的阻值皆为R,将AB两端接入电路,试计算AB之间的总电阻.
Inductive method is a kind of basic method to study the problem, it is from the understanding of individual and special things to introduce the general principles and things in general. In particular, the mathematical induction of human thinking requires high thinking, according to existing preconditions , Inductive and logical derivation, and then get the final conclusion in many high school physics problems, mathematical induction has a very important role in. A few examples to illustrate.Example 1 shown in Figure 1 circuit, AB right There are infinitely many resistors, the resistance of each resistor is R, AB will be connected to both ends of the circuit, try to calculate the total resistance between AB.