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对数函数是基本初等函数之一,是实际应用问题的常见模型,同时是学习函数的定义、图象与性质的载体,也是高考在函数部分命题的重点和热点。本文就含参数的对数函数的定义域、值域、不等式、方程问题进行分类解析,以供参考。一、与对数函数定义域有关的参数问题因为对数函数和指数函数的关系是互为反函数,所以指数函数的值域恰好是对数函数的定义域,对数函数y=log_ax的定义域是(0,+∞),且对数函数的底数
The logarithm function is one of the elementary elementary functions. It is a common model of practical application problems. It is also the carrier of the definition of the learning function, the image and the nature, and the focus and hot spot of the proposition of the college entrance examination. This paper analyzes the definition domain, value domain, inequality, and equation of the logarithmic function with parameters for reference. 1. Parametric problems related to the logarithm function domain Since the relationship between the logarithmic function and the exponential function is an inverse function, the domain of the exponential function is exactly the domain of the logarithmic function, and the definition of the logarithmic function y=log_ax. The domain is (0,+∞) and the base of the logarithmic function