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当客人来访或老朋友见面时,我们都要和对方热情的握手,由此,衍生出许多有趣的数学问题.一、问题的引入问题1美国著名数学科普作家马丁·加德纳提出“握手问题”:几个好朋友见面,2人相互握手,共握___次手;3个人相互握手,共握____次手…n个人相互握手,共握次手____.分析两个人相互握手,显然握了一次;三个人相互握手,每两个人握一次,则每一个都要和剩下的两个人分别握手,所以一共要
When guests come to visit or meet with old friends, we have to shake hands with each other enthusiastically, thus deriving many interesting math problems. First, the introduction of the problem Problem 1 famous American science writer Martin Gardner proposed “handshake Question ”: a few good friends to meet, two handshake each other, a total of grip ___ hands; three handshake each other, a total of grip ____ times hands ... n handshake each other, a total of second hand ____. Analysis of two The handshake of individuals, obviously gripped once; the three handshake each other, each holding two, then each one and the rest of the two handshake, so a total of