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1 考试要求(1 )理解不等式的性质及其证明 .(2 )掌握两个 (不扩展到三个 )正数的算术平均数不小于它们的几何平均数的定理 ,并会简单的应用 .(3)掌握分析法、综合法、比较法证明简单的不等式 .(4)掌握简单不等式的解法 .(5)理解不等式 ｜a｜-｜b｜≤｜a+b｜≤｜a｜+｜b｜ .2
1 Examination requirements (1) Understand the nature of the inequalities and their proofs. (2) Master the theorem that the arithmetic average of two (not extended to three) positive numbers is not less than their geometric mean, and that it will be simple to apply. 3) Grasp analysis, synthesis, and comparison methods to prove simple inequalities. (4) Grasp the solution to simple inequalities. (5) Understand the inequality |a|-|b|≤|a+b|≤|a|+|b | .2