[中译] Puzzleup 2017 (9) Crossing Points

楼主: LPH66 (-6.2598534e+18f)   2017-10-05 04:02:13
题目网址: http://www.puzzleup.com/2017/
http://www.puzzleup.com/2017/puzzle/?9
答题时限: 10月5日7PM-比赛结束(约12月27日)
加分时限: 10月5日7PM-10月10日6:59PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。 
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分       
另依题目的难易有额外加分(如有80%的人这题答错,答对者加80分)  
◆CROSSING POINTS
Place seven points on a plane such that no three are collinear, then connect
every pair with a curve (can be a straight line). On every crossing point
except the initial seven points at most two curves can intersect. What is the
minimum number of these crossing points?
将七个点放在平面上,使得任三点不共线,然后将每一对以曲线连线(可以是直线)。
所有这些线的交点,除了原来的七个点之外,至多有两条曲线相交。
试问这些交点数目至少有多少?

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