解决二次根式问题中的数学思想

• 作 者: 陈雪伟
• 出 处: 今日中学生
• 发表日期: 2017年08期

数学思想是解决数学问题的金钥匙,在解决二次根式的有关问题时,常用到如下几种数学思想:一、方程思想例1已知实数x、y、m满足x+2~(1/2)+|3x+y+m|=0,且y为负数,则m的取值范围是().(A)m>6(B)m<6(C)m>-6(D)m<-6解析:由二次根式、绝对值的非负性,结合非负数的性质可知,x+2=0,|3x+y+m|=0.

Mathematical thinking is the golden key to solve mathematical problems. In solving the quadratic root problems, the following mathematical ideas are commonly used: 1. The idea of ​​equation 1 The known real numbers x, y, m satisfy x + 2 ~ (1 / (A) m> 6 (B) m <6 (C) m> -6 (D) + 3x + y + m | = 0 and y is a negative number, m <-6 Analysis: By the quadratic root, the absolute value of the non-negative, with the non-negative nature of the known, x +2 = 0, | 3x + y + m | = 0.