【摘要】 以计算高阶导数"一题多解"为例,利用数学归纳法、有理函数高阶导数公式、莱布尼茨公式、幂级数展开式、分解法分别给出不同的解题方法。旨在帮助学生拓展解题思路、加强对学生发散思维及创新思维的培养、提高学生综合应用数学知识的能力及数学素养。更多还原

【Abstract】 This paper respectively uses the mathematical induction,rational function higher derivative formula,Leibniz formula,and power series expansion formula and decomposition method to get solutions for higher derivative problems.These multi-solutions could help the students to widen their problem-solving thinking,enhance their divergent thinking and creative thinking,and improve their abilities to apply mathematical knowledge synthetically and mathematical quality.更多还原