第1 章分块法...................................................................................... 1

1.1 分块对应法............................................................................. 2

1.2 镶嵌法.................................................................................... 8

1.3 十字分块法............................................................................12

第2 章割补法.....................................................................................17

第3 章搭桥法.....................................................................................23

第4 章“化积为方”法.........................................................................38

第5 章等积变换法..............................................................................45

第6 章拼摆法.....................................................................................57

第7 章增积法.....................................................................................78

第8 章消去法.....................................................................................95

8.1 倍积法...................................................................................95

8.2 面积比例法..........................................................................102

第9 章同积法...................................................................................111

第10 章射影法.................................................................................131

10.1 作斜边垂线的证法..............................................................131

10.2 作直角边垂线的证法...........................................................139

第11 章长度法.................................................................................142

第12 章方程法.................................................................................152

第13 章平方差法..............................................................................157

第14 章辅助圆法..............................................................................163

第15 章相似转化法..........................................................................172

第16 章间接证法..............................................................................177

16.1 反证法...............................................................................177

16.2 同一法...............................................................................178

第17 章解析法.................................................................................183

17.1 坐标法...............................................................................183

17.2 参数法...............................................................................191

17.3 三角函数法........................................................................193

第18 章特例法.................................................................................198

第19 章泛化法.................................................................................208

附录A 证法出处汇总.........................................................................232

附录B 勾股定理的365 种证明有用吗？..............................................243

参考文献..............................................................................................246

后记..................................................................................................... 247