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利用射影几何的对合关系式,给出二次曲线统一的蝴蝶定理推广形式,同时指出相关文献中的蝴蝶定理推广形式的错误结论,并且利用该结论,解决欧式几何中的问题.“,”By using the involutive relation of projective geometry，the generalized form of unified butterfly theorem for quadratic curve is given. At the same time the wrong conclusion of the extended form of butterfly theorem in related literature is pointed out，and the problems in Euclidean geometry are solved by using this conclusion.