搜搜考试网一道澳大利亚的数学题,7月5日之前要哈
来源：学生作业帮 编辑：搜搜考试网作业帮 分类：英语作业 时间：2024/06/13 17:54:11
一道澳大利亚的数学题,7月5日之前要哈
Ten mathematics teachers composed 35 problems altogether for a mathematical contest.It is known that there were teachers who composed one,two and three problems.Prove that there was at least one teacher who composed at least five problems.
中文大意：有10个数学老师要给一个数学竞赛出35道题。已知有的老师出1道题，求证这些老师里面至少有1个老师至少出5道题。
Ten mathematics teachers composed 35 problems altogether for a mathematical contest.It is known that there were teachers who composed one,two and three problems.Prove that there was at least one teacher who composed at least five problems.
中文大意：有10个数学老师要给一个数学竞赛出35道题。已知有的老师出1道题，求证这些老师里面至少有1个老师至少出5道题。
十个老师一共要出35个题目,现在知道有老师只出1个,2个和3个题目
那么至多还剩10-3=7个老师,最少还剩35-1-2-3=29个题目
反正法：
假设剩下的老师出的题目都小于5,那最多只能出7*4=28 个题目,28
那么至多还剩10-3=7个老师,最少还剩35-1-2-3=29个题目
反正法：
假设剩下的老师出的题目都小于5,那最多只能出7*4=28 个题目,28