The Application Of Bernoulli 's Inequality In High School Mathematics

Bernoulli inequality is very useful in many fields, especially in the proof of inequality, get the most value and the monotonicity of a function etc, flexible application, it can make some of the more complicated problem solved."Ordinary high school mathematics curriculum standard (experiment)" chose "inequality choice" as a electives series of 4 of 5th projects. Inequality is an effective tool to describe the reality inequality relation, inequality study can not only improve the students’thinking ability, but also can enhance mathematics self-restraint. So the "inequality choice" is brought into the new curriculum, and no doubt that can make students more thorough understanding of the nature of inequalities mathematical. While there is no doubt that the Bernoulli inequality is one of the important content, as the widely used knowledge point in higher mathematics, add it to the high school textbook is very necessary.Although the Bernoulli inequality has been written in the new textbook, taken to class, and reflected in the college entrance examination, but the study of the use of The Bernoulli inequality in high school mathematics is still poor, there have been short of systemic research. For this reason, this thesis explores the Bernoulli inequality in depth, summarizes and analysis the connotations, summarizes its inferences and generalize, and gives an interpretation in the view of geometric.In application, we show how Bernoulli inequality was used in the college entrance examination and competition examination. At the end, there are two courses on the introduction and development of Bernoulli inequality in our plan, we analyses the applications of Bernoulli inequality in examination and competition, and hope to give some valuable advises for high school mathematics teaching.