2017年全国美国数学大联盟杯小学高年级五年级竞赛初赛第34题
从前一百个正整数中，最多能选出多少个不同整数，使任意其中三个都不能作为同一个三角形的三边长？ 
Overseas Competition->知识点->几何模块->直线型->图形认知->三角形->三角形三边关系 拓展思维->能力->逻辑分析
To be the lengths of a triangle, the sum of two sides must be longer than the third side. Therefore, we just need to make the third number exactly the sum of the two former numbers, which is also the Fibonacci sequence. $$1$$，$$2$$，$$3$$，$$5$$，$$8$$，$$13$$，$$21$$，$$34$$，$$55$$，$$89$$. The last number to be chosen is $$89$$. A total of $$10$$ numbers. Choose $$C$$． 