高一教师一般在讲完奇、偶函数的定义及对数函数之后,多喜欢使用下面这道典型的判断函数奇偶性的题目: 判断函数f(x)=lg(x+(x~2+1)/(1/2))(x∈R)的奇偶性。对此题,一般是采用“分子有理化”的方法进行求解。即 The first-year teachers usually talk about the definition of the odd and even functions and the logarithmic function. They mostly like to use the following typical problem of the parity of the function: The function f(x)=lg(x+(x~2+1) )/(1/2)) The parity of (x∈R). This problem is generally solved using the “molecular rationalization” method. which is