有些数学题,按常规解法运算繁琐,步骤冗长。若能根据特征另辟蹊径,灵活运用双曲线性质求解,则显得十分轻巧、简捷,令人拍案称绝。下面从六个方面举例加以说明。1 解方程例1 解方程:||3x-4|-|3x-8|=2。解原方程即为||x-4/3|-|x-8/3||=2/3 上式可看作点(x,0)到两定点(4/3,0)>与(8/3,0)的距离之差的绝对值为2/3,故x为双曲 Some mathematics problems are cumbersome and routinely lengthy. If we can find new ways based on characteristics and use hyperbolic nature to solve the problem, it is very light and simple, which makes it worthwhile. Here are six examples to illustrate. 1 Solution Equation 1 Solution equation: ||3x-4|-|3x-8|=2. The solution to the original equation is ||x-4/3|-|x-8/3||=2/3 The above equation can be seen as point (x,0) to two fixed points (4/3,0)> and ( The absolute value of the difference between the distances of 8/3,0) is 2/3, so x is double