1 . 两千多年前,古希腊毕达哥拉斯学派的数学家曾经在沙滩上研究数学问题,他们在沙滩上画点或用小石子来表示数,按照点或小石子能排列的形状对数进行分类,如图中的实心点个数1,5,12,22,…,被称为五角形数,其中第1个五角形数记作
,第2个五角形数记作
,第3个五角形数记作
,第4个五角形数记作
,…,若按此规律继续下去,得到数列
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
___________ ;对
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0939caf47d751f8c7139bd0b25fe98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5202b28df649fd77f8fa2891e8d36322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/c5938698-bbc2-4615-a41f-cb1ad7f2e22e.png?resizew=296)
您最近一年使用:0次
名校
2 . 两千多年前,古希腊毕达哥拉斯学派的数学家曾经在沙滩上研究数学问题.他们在沙滩上画点或用小石子表示数,按照点或小石子能排列的形状对数进行分类.如下图中实心点的个数
为梯形数.根据图形的构成,记此数列的第
项为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd52c799207b3e477a10643183340eb.png)
![](https://img.xkw.com/dksih/QBM/2017/7/3/1722029077561344/1722418247254016/STEM/0265099d5a544c4db15d309e2514378c.png?resizew=358)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47116afae142d07041e730637aa865d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb59aa52a39b7838426b868c03fd642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3946afb19ee05ad798d676320078b543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd52c799207b3e477a10643183340eb.png)
![](https://img.xkw.com/dksih/QBM/2017/7/3/1722029077561344/1722418247254016/STEM/0265099d5a544c4db15d309e2514378c.png?resizew=358)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-07-03更新
|
380次组卷
|
4卷引用:福建省厦门市双十中学2019-2020学年高一(下)期中数学试题
福建省厦门市双十中学2019-2020学年高一(下)期中数学试题湖北省宜昌市七校教学协作体2016-2017学年高一下学期期末考试数学试题(已下线)考点57 推理与证明-备战2021年高考数学(理)一轮复习考点一遍过 (已下线)考点49 推理与证明-备战2021年高考数学(文)一轮复习考点一遍过
3 . 设
,已知
,
(
),猜想
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45c89d1cb5a4f758539bdda2e31fa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa9df3f220de988a40199e821d3be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40373bd08b31b51ecdb2944e779fb428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40ba6916865c22cdde2221d9bef9da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-03更新
|
419次组卷
|
6卷引用:2015-2016学年福建上杭一中高一下期末模拟二数学试卷