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What are the seven basic inequalities of postgraduate entrance examination?
The seven basic inequalities of postgraduate entrance examination include triangle inequality, mean inequality (Hn≤Gn≤An≤Qn), binary mean inequality (A 2+B 2 ≥ 2AB), Young's inequality, Cauchy inequality, Holder inequality and so on.

The proof of inequality is one of the key points in the postgraduate entrance examination. The proof method has monotonicity, mean value theorem and concavity.

Prove inequality with monotonicity of function;

As an application of differentiation, the proof of inequality often appears in the postgraduate entrance examination questions. Using monotonicity of function to prove inequality is the basic method of inequality proof, and sometimes it needs to be used twice or even three times in succession. Other methods can be used as a supplement to this method, and the construction of auxiliary functions is still the key to solve the problem.

Mathematics review for postgraduate entrance examination;

Mathematics for postgraduate entrance examination requires us to master basic formulas and common problems in an all-round way in order to achieve good results.

Therefore, it is suggested that friends who started to review in the summer vacation can master the knowledge points and types of common questions chapter by chapter through the set of questions explained by real questions, and pay attention to the explanation of the reference answers of the questions, which is the key for us to master the rules and problem-solving skills.

Here, I want to remind you that when reviewing the postgraduate mathematics, our classmates often fall into question tactics, thinking that if you do more questions, you will see more questions, so you won't panic during the exam. However, ignoring such a large number of math review for the postgraduate entrance examination and blindly understanding the questions by doing the questions will take up a lot of valuable review time, thus greatly reducing the efficiency of math review for the postgraduate entrance examination.

Understanding the types of questions, thinking more, and mastering the ability to draw inferences from others are the most helpful for us to review the mathematics of the postgraduate entrance examination.