数学高手解题定理库......................................................................................................................................3定理1共边模型.....................................................................................................................................3定理2鸟头模型...................................................................................................................................10定理3蝴蝶模型...................................................................................................................................17定理4燕尾模型...................................................................................................................................25定理5沙漏模型...................................................................................................................................36定理6梅涅劳斯定理（梅氏线）......................................................................................................48定理7塞瓦定理（赛瓦点）..............................................................................................................52定理8格点面积公式（皮克公式）..................................................................................................54定理9构造新底新高巧求面积（万底公式）..................................................................................55定理10阿基米德折弦定理................................................................................................................56定理11圆幂定理.................................................................................................................................65定理12巴布斯定理（中线定理）....................................................................................................67定理13斯库顿定理.............................................................................................................................68定理14费马点.....................................................................................................................................69定理16古堡朝圣问题........................................................................................................................75定理17四点共圆.................................................................................................................................78定理18阿波罗尼定理........................................................................................................................83定理19三角形中线长定理................................................................................................................84定理20广义勾股定理........................................................................................................................85定理21三角形高线长定理................................................................................................................86定理22三角形内、外角平分线模型、角平分线长定理................................................................87定理23托勒密定理.............................................................................................................................88定理24清宫定理..............................................................................................................................