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一、转化与化归思想在解题中的应用不等与相等是相对的,在一定条件下可以互相转化,解题过程就是一个由已知条件向待定结论等价转化的过程.无论哪种类型的不等式,其求解思路都是通过等价转化,把它们最终转化为一元一次不等式(组)或一元二次不等式(组)求解.例1解不等式(x~2-9x+11)/(x~2-2x+1)≥7分析:因为分母x~2-2x+1=(x-1)~2≥0,且分母不能为零,所以当x≠1时即可去分母转化为整式不等式.
First, the transformation and the return of thought in the problem-solving application of unequal and equal is relative, under certain conditions can be transformed into each other, the problem-solving process is a known condition to be determined by the conclusion of the equivalent transformation process. Type of inequality, the idea is to solve them by the equivalent transformation, and eventually convert them into a unary inequality (group) or unary quadratic inequality (group) .Example 1 Solution inequality (x ~ 2-9x + 11) / ( x ~ 2-2x + 1) ≥7 Analysis: Because the denominator x ~ 2-2x + 1 = (x-1) ~ 2≥0, and the denominator can not be zero, when x ≠ 1, the denominator can be converted to Integral inequality