我们知道,若直角三角形内的一点,与三边的距离都是整数,则称这点为整距点.显然这整距点的个数与直角三角形所处位置无关,因而终可以把这个直角三角形放置在直角坐标系中,使两直角边分别与坐标轴的正向重合,原点即与直角顶点重合.这时Rt△与斜边所在直线(的方程)一一对应.对于这 We know that if a point in a right-angled triangle has a distance from all three sides that is an integer, then this point is called a full-distance point. Obviously, the number of full-distance points has nothing to do with the position of the right-angled triangle, so we can finally make this right-angled The triangle is placed in a Cartesian coordinate system so that the two right-angled edges coincide with the positive direction of the coordinate axis, and the origin coincides with the right-angled vertex. At this time, Rt △ corresponds to the straight line (equation) of the hypotenuse.