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1背景1.1教材背景2012年4月修订的必修1(江苏教育出版社)练习和习题中先后三次出现同一类函数的问题:题1(第43页练习第6题)判断下列函数的奇偶性:(1)f(x)=x+1x;题2(第45页习题2.2第10题)已知函数f(x)=x+1x,x∈(0.TIF,+∞).1证明函数f(x)在区间(0,1]上是单调减函数,在区间[1,+∞)上是
1 Background 1.1 Teaching material background The compulsory 1 revised in April 2012 (Jiangsu Education Press) Exercises and exercises Three problems with the same type of function occurred three times in the past: Problem 1 (Exercise 6, page 43) Determine the parity of the following functions: (1) f (x) = x + 1x; Problem 2 (Problem 2.2 Problem 10 on page 45) The function f f (x) is a monotonically decreasing function in the interval (0, 1] and is in the interval [1, + ∞)