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换元法在解数学题中确有妙用,兹举数例说明如下: 例1 解关于x的方程: (x-a-b)/c+(x-b-c)/a+(x-c-a)/b=3,其中1/a+1/b+1/c≠0 解:利用题中字母a、b、c的轮换性质特作如下的代换
The substitution method has a magical effect in solving mathematics problems. Here are a few examples to illustrate: Example 1 Solve the equation about x: (xab)/c+(xbc)/a+(xca)/b=3, where 1/a+ 1/b+1/c≠0 Solution: Use the following special substitution properties of the letters a, b, and c in the following substitution: