数学归纳法在不等式证明中的应用

AbstractMany middle school students are relatively weak in the application ofmathematical induction in inequality,in some students are also vaguely understood,step-by-step use,and can't clearly know its principle,so mathematical induction hasbecome a very high loss rate of knowledge.So how to learn it well?We should startwith the history and development of mathematical induction,which is the key tolearning induction and the premise for teachers to teach better.However,the questiontypes vary a lot,if the students do not know enough about its types,will lead to theproblem can't choose the correct method.Therefore,how to comprehensively analyzeand study the different problem solving methods adopted for various types ofquestions is the key for students to learn and apply induction method,which is alsothe focus of this paper.This paper mainly through understanding the concept andprinciple of mathematical induction summarizes some commonly used methods ofproof,including reduction method,transfer method,reduction method,comparisonmethod,addition and subtraction pair elimination method,circulation method,synthesis method;And summed up the students often make mistakes types;Someconstructive Suggestions are put forward.Key words:mathematical induction;Inequality;Middle school mathematics2