正整数按如图所示的规律排列,则第
行第5列的数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/23/f84d7504-8455-4bbc-b204-5e9454e63ba2.png?resizew=403)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7989fb73b50ed0a4b2a17d488f27ed3b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/23/f84d7504-8455-4bbc-b204-5e9454e63ba2.png?resizew=403)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2021-11-12 15:22:08
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【推荐1】我国古代数学的许多创新和发展都位居世界前列,如南宋数学家杨辉(约13世纪)所著的《详解九章算法》一书中,用如图的三角形解释二项式
的展开式的各项系数,此三角形称为“杨辉三角”.根据“杨辉三角”提供的展开式的各项系数的规律,探究
的展开式中第三项的系数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5abcb3802cf02be93a8c89067bd49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53f813e3769814df94faf241f55ffa9.png)
A.78 | B.91 | C.105 | D.120 |
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【推荐2】将
,2,
,3按如图的方式排列,规定
表示第m排左起第n个数,则
与
表示的两个数之积是( )
![](https://img.xkw.com/dksih/QBM/2022/1/11/2899111661355008/2900846887550976/STEM/2c7f09c8fa174b05a2d585bbc8cc3001.png?resizew=304)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c0317631fd145d5c5f1e85ed8841d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2e65928909ab85c530a007d6f0c296.png)
![](https://img.xkw.com/dksih/QBM/2022/1/11/2899111661355008/2900846887550976/STEM/2c7f09c8fa174b05a2d585bbc8cc3001.png?resizew=304)
A.![]() | B.4 | C.![]() | D.6 |
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