| The derivative is the necessary question of the college entrance examination is the focus of high school mathematics knowledge,also is the foundation of higher mathematics.Therefore,the study of derivative problem solving can help students learn and master this part of the ontent quickly and efficiently,expand students' mathematical thinking,and prepare for learning higher mathematics at the same time.This paper mainly makes the following works: Firstly,consult the relevant literature,carefully study the existing research results,and combined with the “ordinary high school mathematics curriculum standards(experiment)” and “college entrance examination mathematics examination outline” in the derivative and its application part of the requirements,the derivative questions in the college entrance examination papers were combed again.Secondly,in the third chapter of the college entrance examination about derivative comprehensive application questions analysis,through the college entrance examination in the new curriculum standard of science paper derivative application of big question types of statistics,analysis,summed up the common five types of questions in the college entrance examination,and sort out the knowledge points examined by each types of questions,summed up the corresponding problem-solving strategies;Thirdly,on the basis of studying the general problem solving of derivative comprehensive application questions,find out the application of higher mathematics knowledge in middle school derivative problem solving,which is the fourth chapter of higher mathematics knowledge in high school derivative problem solving.The fourth chapter gives Taylor formula,the sufficient condition of extremum,lagrange mean value theorem and application of L'Hospital rule such as the main theory and the secondary derivative problem solving methods in the summary,using advanced mathematics knowledge to solve elementary mathematics problems,open up a new path for students to solve problems. |
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