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第56届IMO金牌获得者俞辰捷同学在文[1]中对形如(a~2+k)(b~2+k)(c~2+k)(k>0)的三元结构进行了探索,并给出了如下结论:结论1设a,b,c,k为正实数,则(a~2+k)(b~2+k)(c~2+k)≥3/4k~2(a+b+c)~2①
The 56th IMO Gold Medalist Yu Chenjie performed a series of ternary structures of (a ~ 2 + k) (b ~ 2 + k) (c ~ 2 + k) (k> 0) (A ~ 2 + k) (b ~ 2 + k) (c ~ 2 + k) ≥3 / 4k ~ (1) When a, b, c and k are positive real numbers, 2 (a + b + c) ~ 2 ①