Question

第一小题跪求各位数学学霸解答一下了

Answer 1

(1)8,15,17和21,20,29

(2)2mn，m^2-n^2，m^2+n^2
(2mn)^2+(m^2-n^2)^2=4m^2n^2+m^4-2m^2n^2+n^4=m^4+2m^2n^2+n^4
(m^2+n^2)^2=m^4+2m^2n^2+n^4
(2mn)^2+(m^2-n^2)^2=(m^2+n^2)^2
所以2mn，m^2-n^2，m^2+n^2是勾股数

Answer 2

（1）（7,24,25）即7²+24²=25²，
（12,16,20）即12²+16²=20²
（2）（31,480,481）即31²+480²=481²
（33,44,55）即33²+44²=55²，
两个规律你能够看出来吗？