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减元思想是指减少问题中变量的个数,将多元变量问题转化为一元变量问题,其实质是转化与回归思想.数学方法附属于数学思想,而数学思想又要通过数学方法来体现.本文通过具体的方法,结合实际教学中的典型例题,展现减元思想在多元变量问题中的运用.一、换元减元例1已知a,b是单位向量,a·b=0,若向量c满足|c-a-b|=1,则|c|的取值范围是.
The idea of reducing yuan is to reduce the number of variables in the problem and to convert the problem of multiple variables into the problem of univariate variables, the essence of which is the idea of transformation and regression .Mathematical methods are attached to mathematics and mathematics are represented by mathematical methods. Through the concrete method, combined with the typical examples in practical teaching, the idea of reducing yuan is presented in the problem of multiple variables. c satisfies | cab | = 1, the | c | range is.