Current location - Training Enrollment Network - Mathematics courses - Elementary school math problems fill ten natural numbers from 1 to 10 into ten small triangles.
Elementary school math problems fill ten natural numbers from 1 to 10 into ten small triangles.
Guo Dunrong replied:

Four big triangles: △ABC, △DEF, △PKL, △GMN.

Sum of four numbers in each big delta =25=△ABC=△DEF=△PKL=△GMN.

The sum of the single numbers in the four big triangles = 1+2+…+ 10=55,

The sum of multiplexing numbers in four big triangles = △ ABC +△ def+△ PKL+△ GMN =100.

100-55=45,

The sum of the four numbers of each major △: △ABC= a+ c+ g+ q=25, △DEF= b+ q m d+ m=25,

△PKL= q+ e+ n+ m=25,△GMN= g+ m+ q+ n=25

(a+b+c+d+e+f)+2(g+m+n)+4q = 100,

∴(g+ m+ n)+3q= 100-55=45,

Let q= 10, then g+m+n = 45-30 = 15, 15=3+5+7 (or 1+5+9).

g+ m+ n= m+ n+ g=3+5+7,

It can be determined that m=3, n=5, g=7 (or other corresponding),

So in △ABC, A+b=25-( 10+7) = 8 = 6+2 = 2+6, a=6, b=2 or a2, B = 6;;

The arrangement of other big delta numbers is similar, as shown in the following figure: