a1+a2+a3+……a100=300a1^2+a2^2+a3^2……a100^2>=100求证a1+a2+……a100中有三个数相加大于100

Question

a1+a2+a3+……a100=300 a1^2+a2^2+a3^2……a100^2>=100 求证a1+a2+……a100中有三个数相加大于100

Answer 1

题目是否抄错?
取a1=a2=...=a100=3,题目条件满足,但结论不成立.