论文部分内容阅读
题目:设00,a≠1,比较|log_a(1-x)|与|log_a(1+x)|的大小(要写出比较过程)此题是比较两个对数函数的绝对值的大小。它能检查考生对于绝对值的概念,对数的性质(包括运算性质、换底公式及单调性)等基础知识的理解情况,也能较好地检查考生对于实数比较大小,证明不等式的分析问题和逻辑推理的能力。此题的解法较多,不仅可用初等数学的方法来解,也可用中学已学过的高等数学的知识(如导数或微分中值定理)来解,因而此题较之其他考题颇有典型性和代
Title: Let 00,a≠1, compare the size of |log_a(1-x)| and |log_a(1+x)| (to write a comparison process) This question is to compare two The absolute value of the logarithmic function. It can examine the understanding of the concept of the absolute value, the nature of the logarithm (including the nature of the calculation, the formula and the monotonicity), and can also better examine the examinee’s comparison of the real number and prove the inequality problem. And logical reasoning capabilities. There are many solutions to this problem, which can be solved not only by elementary mathematics methods, but also by advanced mathematics (such as derivative or differential mean value theorem) that have been studied in secondary schools. Therefore, this topic is more typical than other questions. And generation