人们对蝴蝶定理的研究从未停止过,许多刊物,很多老师都以各种形式发表过看法,但很少有人从面积的角度来研究过蝴蝶定理,因此笔者从面积研究发现两个有一定价值的重要结论,供朋友们参考!命题一过圆AB弦的中点C,任作两弦DE,FG,且FE,DG交AB分别是I,H,则 The study on the butterfly theorem has never ceased. Many publications and many teachers have expressed their opinions in various forms, but very few people have studied the butterfly theorem from the perspective of area. Therefore, I found that the two have certain value from the area study Of the important conclusions, for my friends to refer to! Proposition a circular arc AB middle point C, let two strings DE, FG, and FE, DG cross AB are I, H, then