证明:在任意
个人中,可以找到两个人
、
,使得其余
个人中,至少有
个人他们中的每一个,或者都认识
、
;或者都不认识
、
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f0873fdea970af1ac5bbb7d098b5ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
2018高三·全国·竞赛 查看更多[1]
更新时间:2018-12-20 10:09:01
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解答题-证明题
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较难
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【推荐1】将圆周上的所有点进行三染色.证明:存在无穷多个等腰三角形,其顶点均为圆周上的同色点.
您最近一年使用:0次
解答题-问答题
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较难
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【推荐2】如图,
的三条内线段
、
、
交于点
、用红、蓝两种颜色对
的三条边线和三条内线段染色,使同色的三线不交于一点.证明:在图中所有的三角形中,至少存在两个同色三角形,且它的各边或延长线被另一线截得的两线段之比的和大于3.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://img.xkw.com/dksih/QBM/2018/12/18/2099408505176064/2100365236682752/STEM/593d23af-b4f5-4923-a72e-308e8654db4d.png)
您最近一年使用:0次