摘要
给出一条中线长为整数的整边三角形的充要条件,利用高斯整环的性质给出不定方程b^2+c^2=2k^2+2n^2的解,并由此给出一类中线长为整数的整边三角形.
Give the necessary and sufficient conditions for a triangle with integer sides whose one of the midlines is an integer. The solution of the indefinite equation is given by using the property of the ring of Gauss integers, from this, a class of integer triangles with an integer midline is given.
作者
李怡
朱一心
李克正
LI Yi;ZHU Yixin;LI Kezheng(School of Mathematical Sciences,Capital Normal University,Beijing 100048)
出处
《首都师范大学学报（自然科学版）》
2020年第4期13-15,共3页
Journal of Capital Normal University：Natural Science Edition
关键词
整边三角形
中线
整数
integer triangle
midline
integer
