在數學中經常要比較有興趣的各種量之大小，因此就需要藉助不等式的運算。
證明不等式的技巧多樣化，且方法不一。本篇論文主要介紹數學競賽中常見的基本不等式，
與探討證明不等式時經常使用的解題方法。

In many mathematical problems, we are expected to compare the
interesting quantities. Thus, the use of well-known inequalities
will be required. Techniques of using these inequalities to solve
inequality problems vary from problem to problem. In this paper,
we will introduce commonly used well-known inequalities in high
school mathematical contests and discuss the solving strategies
for inequality problems.

1.前言..................................1
2.常用基本不等式........................1
2.1算術、幾何與調和平均不等式...........2
2.2柯西不等式...........................3
2.3排序不等式...........................4
2.4柴比雪夫不等式.......................5
2.5布奴利不等式.........................6
2.6三角不等式...........................7
2.7詹生不等式...........................9
3.基本解題方法..........................10
3.1變數代換法...........................11
3.2數學歸納法...........................12
3.3放縮法...............................13
3.4因式分解法...........................14
3.5配方法...............................15
3.6比較法...............................17
3.7反證法...............................18
3.8變形法...............................19
3.9幾何法...............................20
4.綜合應用..............................21
5.習題..................................32
附錄....................................35

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