三角形的重心、垂心、内心在解三角形中占有重要的位置,它们内容不同,性质各异,但它们在下面的表述中达到了完美的统一.如图1,在△ABC中,AD、BE、CF分别是边BC、AC、AB上的中线,相交于O,那么,O叫△ABC的重心.由重心的性质,得OD/AD=1/3;OE/BE=1/3;OF/CE=1/3, The triangle’s center of gravity, vertical center, and inner heart occupy important positions in the solution triangle. They have different contents and different properties, but they reach perfect unity in the following expression. As shown in Figure 1, in △ABC, AD, BE, CF is the midline on the sides BC, AC, AB, respectively, intersecting at O, then, O is the center of gravity of △ABC. From the nature of the center of gravity, OD/AD=1/3; OE/BE=1/3; OF/ CE=1/3,