很多同学在遇到结合函数奇偶性和周期性的分段函数解析式的一类问题时,都会感到有些困惑,也容易出现解错的情况。因此,教师对这一类分段函数解析式的解法有必要进行详细的说明。下面笔者将结合两道例题进行剖析。例题1已知y=f(x+2)为定义域在R上的偶函数,且当x≥2时f(x)=x~2-8x+10则当x<2时,f(x)=__.解析解法一:因为,当x≥2时f(x)=x~2-8x+10,可 Many students feel confused and prone to error when they encounter a type of problem that combines the function parity and the periodic piecewise function analytic. Therefore, it is necessary for teachers to explain in detail the analytic solutions of this kind of piecewise functions. The author will combine the following two examples to analyze. Example 1 It is known that y = f (x + 2) is an even function with a domain on R and f (x) = x ~ 2-8x + 10 when x ≧ 2. ) = __. Analytical solution one: Because, when x ≥ 2 f (x) = x ~ 2-8x +10,