中学数学里无理方程一般是通过两边乘方同一次数,把它化成有理方程来解。这个方法有时要多次使用才能达到目的,因此,它又叫做屡次乘方法。然而,用这种方法经常会遇到学生力所不及的高次方程,造成半途而废。那么,针对方程的特点,运用特殊方法,把无理方程化成不高于二次的有理整方程来解,就显得十分必要。何况运用特殊解法联系的知识面较广,从而可以使一些旧知识得到重现而掌握得更牢 In middle school mathematics, an irrational equation is usually solved by converting the two sides to the rational equations by the same number of times. This method is sometimes used multiple times to achieve the goal, so it is also called repeated multiplication method. However, using this method often encounters high-order equations that students cannot reach, resulting in half-way. Then, for the characteristics of the equation, it is necessary to use special methods to convert the irrational equation into a rational integer equation no higher than twice. What’s more, the use of special solutions has a wider range of knowledge, so that some old knowledge can be reproduced and mastered more firmly.