若
、
都是等差数列,且
=5,
=15,
=100,则数列
的前100项之和
等于( )
![](https://img.xkw.com/dksih/QBM/2011/4/27/1570132801822720/1570132807008256/STEM/e5e31f01eb484d0088a23793db579634.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2011/4/27/1570132801822720/1570132807008256/STEM/4a0119f7efbc4d62b8991facbe917334.png?resizew=29)
![](https://img.xkw.com/dksih/QBM/2011/4/27/1570132801822720/1570132807008256/STEM/9468f88cf4b1480ebdb00b088b565892.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2011/4/27/1570132801822720/1570132807008256/STEM/d1e5a0c53617441a8a3405c931aeecc5.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2011/4/27/1570132801822720/1570132807008256/STEM/e38bc9bab9de4c1995557f035d3609fc.png?resizew=65)
![](https://img.xkw.com/dksih/QBM/2011/4/27/1570132801822720/1570132807008256/STEM/5148b96f22634df0b563e6d56c62eae4.png?resizew=60)
![](https://img.xkw.com/dksih/QBM/2011/4/27/1570132801822720/1570132807008256/STEM/ef3e6bd4432947fc9f0c7190ae666754.png?resizew=28)
A.1 | B.5050 | C.6000 | D.60000 |
10-11高一下·浙江杭州·期中 查看更多[1]
(已下线)2010-2011年浙江省杭州师范大学附属中学高一下学期新疆部期中考试数学试
更新时间:2011-04-27 11:21:27
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【推荐1】若等差数列中,
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be09c52bdbf1a4286b15f49ac52e28d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
A.8 | B.6 | C.4 | D.3 |
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【推荐2】设等差数列{an},{bn}的前n项和分别为Sn,Tn,若对任意的n∈N*,都有
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8be37bc444e547530b761506664e1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4132fc9beeb735d954a9ea33662bba.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】现将“□”和“○”按照如下规律从左到右进行排列:若每一个“□”或“○”占1个位置,即上述图形中,第1位是“□”,第4位是“○”,第7位是 “□”,则在第2017位之前(不含第2017位),“○”的个数为( )
□,○,□,○,○,○,□,○,○,○,○,○,□,○,○,○,○,○,○,○![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181f3b0731a5bb74ca1865c2d2e613ce.png)
□,○,□,○,○,○,□,○,○,○,○,○,□,○,○,○,○,○,○,○
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A.1970 | B.1971 | C.1972 | D.1973 |
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解题方法
【推荐2】已知等差数列
的前
项和为
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且
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( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c752ebe8516e7d3327f3410473d9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6cd76ef8aff11bf566e2ef45caebe16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
A.25 | B.45 | C.55 | D.65 |
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【推荐3】蚊香具有悠久的历史,我国蚊香的发明与古人端午节的习俗有关.如图,为某校数学社团用数学软件制作的“蚊香”.画法如下:在水平直线上取长度为1的线段AB,作一个等边三角形ABC,然后以点B为圆心,AB为半径逆时针画圆弧交线段CB的延长线于点D(第一段圆弧),再以点C为圆心,CD为半径逆时针画圆弧交线段AC的延长线于点E,再以点A为圆心,AE为半径逆时针画圆弧…….以此类推,当得到的“蚊香”恰好有9段圆弧时,“蚊香”的长度为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/8/67363f6d-1211-4e85-a126-a7880b593ab9.png?resizew=121)
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