Using the method of conversing double integrals into linear integrals , we obtain two theorems and their corollaries for double integrals of linear - fractional homogeneous functions with two variables , and construct some typical examples that are difficult to be calculated by ordinary methods to illustrate their applications 摘要通过把二重积分转化成曲线积分,得到二元分式线性齐次复合函数积分的两个定理及其若干推论,并构造一些比较典型的用一般方法难以计算的例子说明结论的应用。