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A difficult junior high school math test paper
These topics are not like junior high school mathematics. . . It's a little difficult for children.

1.=[(a+b+c)-2(a^2+b^2+c^2)+(a^3+b^3+c^3)]/abc

Because A+B+C = 2 = A2+B2+C2-> AB+BC+AC =1

-& gt; a^3+b^3+c^3=(a+b+c)(a^2+b^2+c^2)-(a+b+c)(ab+bc+ac)+3abc=2+3abc

Original formula =[2-4+2+3abc]/abc=3.

4。 This ratio is a, a 2+a > 1, a < 1, so c is chosen.

5.a= 10

Tana = A. I don't know what other conditions mean. . .

8. In fact, the three sides of a triangle are X, Y, z Y and Z. Find the sum of the distances from Fermat to the three sides. The conclusion is the root number 199.