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近年来,高考数学试题既重视考查中学数学基础知识的掌握程度,又重视考查进入高校继续学习的潜能,因而有高等数学知识背景的试题成为命题热点,以便于高中数学与大学数学的有机衔接.求参数的取值范围问题是中学数学的难点之一,也常为高考的热点,一般用分离参数法~([1])求解,但有时需要结合使用洛必达法则~([2])以简化解题过程.现举例说明,以供参考.
In recent years, the math test in college entrance examination not only emphasizes the mastery degree of math basic knowledge in middle school, but also pays more attention to the potential to enter the university to continue studying. Therefore, the examination questions with advanced math knowledge background become the hot topics in order to facilitate the connection between high school math and university math. The problem of determining the range of parameters is one of the difficulties in high school mathematics. It is also often a hot spot for college entrance examination. It is usually solved by the method of separation parameter ~ ([1]), but sometimes it is necessary to combine Robusta’s law ~ ([2]) To simplify the process of solving problems. Now illustrate, for reference.