1 . 如果空间凸多面体的顶点数为
,棱数为
,面数为
,那么
,这个定理是由瑞士数学家欧拉在1752年提出的,该定理提供了拓扑变换的不变量而发展了拓扑学,被称为拓扑学的欧拉定理或欧拉公式.1996年诺贝尔化学奖授予对发现
有重大贡献的三位科学家,
是由60个
原子构成的分子,它是形如足球的多面体,这个多面体有60个顶点,以每一个顶点为端点都有三条棱,面的形状只有五边形和六边形,则
分子中六边形的个数为( )
![](https://img.xkw.com/dksih/QBM/2021/5/26/2729390336933888/2749793871511552/STEM/ad83c4951dd14bab87b4fa6737f6a352.png?resizew=101)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
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A.12 | B.16 | C.18 | D.20 |
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2021-07-01更新
|
461次组卷
|
5卷引用:江苏省苏州实验中学、木渎中学、太仓中学2020-2021学年高一下学期5月联考数学试题
2 . 对于任意实数
,符号
表示不超过
的最大整数,如
,函数
叫做“取整函数”,也叫做高斯(
)函数.这个函数在数学本身和生产实践中都有广泛的应用.小明利用学习过的对数知识,发现:
,对应的
是一个
位数,
是一个
位数,依此规律,若
,且
,则
是( )
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A.一位数 | B.两位数 | C.三位数 | D.四位数 |
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