我国南宋数学家杨辉所著的《详解九章算术》一书中,用如图的三角形揭示了
(
为非负整数)展开式的项数及各项系数的有关规律,根据“杨辉三角”请计算
的展开式中从左起第四项的系数为( )
![](https://img.xkw.com/dksih/QBM/2021/10/21/2834039871397888/2837204969676800/STEM/b3f83258-5441-469c-840b-36b8c8d0315d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8671f6f58d8826780a264619fa7ff391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e601e5001c5bdb76028516156040fa40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d351a97edcc0783d8d7a02d041bdb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee85d22b9fd3c1afea0688617132365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c497e36c29a7f7bd6a954a707fbea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9216a0f9d6e65ea4937ab7bf102c5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927cc54740d3992452ed79dd2d72c616.png)
![](https://img.xkw.com/dksih/QBM/2021/10/21/2834039871397888/2837204969676800/STEM/b3f83258-5441-469c-840b-36b8c8d0315d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8671f6f58d8826780a264619fa7ff391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e601e5001c5bdb76028516156040fa40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d351a97edcc0783d8d7a02d041bdb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee85d22b9fd3c1afea0688617132365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c497e36c29a7f7bd6a954a707fbea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
A.![]() | B.![]() | C.![]() | D.![]() |
21-22八年级上·山西临汾·阶段练习 查看更多[6]
山西省临汾市襄汾县2021-2022学年八年级上学期第一次月考数学试题(已下线)考点02 二次根式、整式与因式分解-备战2022年中考数学一轮复习考点帮(浙江专用)山东省德州市平原江山国际学校六校2021-2022学年上学期第二次联考八年级数学试题江西省上饶市余干县八校联考2021-2022学年八年级上学期数学试题湖南省衡阳市南岳二中2022-2023学年八年级上学期期末数学试题新疆维吾尔自治区昌吉回族自治州2023-2024学年八年级上学期期末数学试题
更新时间:2021-10-25 22:51:11
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【推荐1】如图所示的运算程序中,如果开始输入的
值为
,我们发现第
次输出的结果为
,第
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次输出的结果为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/15/a70d0c9c-f8be-4347-ba50-22048238ddfc.png?resizew=282)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/15/a70d0c9c-f8be-4347-ba50-22048238ddfc.png?resizew=282)
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【推荐2】用大小相同的小等边三角形按如图所示的规律拼图案,其中第①个图案用了4个小等边三角形,第②个图案用了8个小等边三角形,第③个图案用了12个小等边三角形,第④个图案用了16个小等边三角形,…,若按此规律排列下去,则总共用了2024个小等边三角形的图案的序号数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/13/1d9227f0-76e3-40f9-b451-b1ed833cf338.png?resizew=443)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/13/1d9227f0-76e3-40f9-b451-b1ed833cf338.png?resizew=443)
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