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一、利用函数的奇偶性、周期性解答对数函数问题函数的奇偶性是函数的重要性质之一.在判断函数的奇偶性时,我们应首先分析其定义域是否关于原点对称,若定义域不关于原点对称,则其一定不具有奇偶性.一般地,如果对于函数f(x)的定义域内任意一个x,都有f(-x)=f(x),那么函数f(x)就是偶函数.若y=f(x)的图像关于直线x=a和x=b对称,则y=f(x)的周期为2|a-b|;若y=f(x)的图像关于直线x=a和点(b,0)对称,则y=f(x)的周期为
First, the use of function parity, the periodic solution to the problem of logarithm function The parity of the function is one of the important properties of the function.In determining the parity of the function, we should first analyze whether the domain of its origin symmetry, if the domain If we do not have any symmetry about the origin, it must not have parity. Generally, if f (-x) = f (x) for any x in the domain of the function f (x), the function f If the image of y = f (x) is symmetric with respect to the straight line x = a and x = b then the period of y = f (x) is 2 | ab | = a and point (b, 0) are symmetric, the period of y = f (x) is