1 . 已知数列
满足
,
.
(1)求证:数列
为等差数列;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89bddd9c021a9caccc72cd0189e1ceb.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a44cfbb86a4eb76261c00ddc6bff181.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b040fc89872638210abc01b011d6018c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
2 . 已知等差数列
满足
,
.
(1)求数列
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0ac8195213e38a99caacd83db157b7.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86b57ce3be486d3d8cddcc5b1cba238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2022-07-21更新
|
921次组卷
|
4卷引用:四川省凉山彝族自治州2021-2022学年高一下学期期末数学(理)试题
解题方法
3 . 已知等差数列
中,
,
,则该数列前6项的和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2815b24f5a89be7ae53aed93182e8988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917b229d7588aa46a4f1a724132d1c07.png)
您最近一年使用:0次
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4 . 我国古代数学著作《周髀算经》中记载了二十四节气与晷长的关系:每个节气的晷长损益相同.晷是按照日影测定时刻的仪器,晷长即为所测量影子的长度,如图1所示,损益相同,即相邻两个节气晷长减少或增加的量相同,且周而复始.二十四节气及晷长变化如图2所示.已知谷雨时节晷长为5.5尺,霜降时节晷长为9.5尺,则二十四节气中晷长的最大值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/30/7ce430de-ac85-4ff1-bdef-cf37a102a85f.png?resizew=215)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/30/337517e3-8904-467e-a5f1-3b34bb79129d.png?resizew=189)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/30/7ce430de-ac85-4ff1-bdef-cf37a102a85f.png?resizew=215)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/30/337517e3-8904-467e-a5f1-3b34bb79129d.png?resizew=189)
A.14.5 | B.13.5 | C.12.5 | D.11.5 |
您最近一年使用:0次
2022-07-17更新
|
503次组卷
|
4卷引用:四川省成都市双流区2021-2022学年高一下学期期末数学试题
解题方法
5 . 已知正项数列
的前
项和为
,
,且
.
(1)求数列
的通项公式;
(2)若
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/bc551a847928aca93e25096b335e9676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41be41a5a4965ebd346e7ee74d21f0f3.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-07-15更新
|
395次组卷
|
2卷引用:四川省成都市2021-2022学年高一下学期期末数学(文科)试题
6 . 等差数列
中,若
,
,则公差d=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bfccbb4c53b653a16d6d56a5a4b1465.png)
A.2 | B.3 | C.4 | D.5 |
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2022-07-15更新
|
344次组卷
|
2卷引用:四川省成都市2021-2022学年高一下学期期末数学(理科)试题
7 . 在等差数列
中,已知
,
.
(1)求
的通项公式;
(2)设
的前n项和为
,若
,求n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9652f65b28e2032c0cbc2a9649db4f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0748c346ed88f98e424de8edf278325.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ec85fce82051cd8091b8c5c339518a.png)
您最近一年使用:0次
2022-07-10更新
|
399次组卷
|
3卷引用:四川省南充市2021-2022学年高一下学期期末数学(文科)试题
解题方法
8 . 在等差数列
中,
为
的前n项和.
(1)求
的通项公式;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f0a3027aee0a3dc1795a0d436971e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
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解题方法
9 . 已知一次函数
,数列
满足
.
(1)若
,求
;
(2)若
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5936a97c800eca7498061cc6c037bf88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a3b138ee3c8fda2e4ccf4c871e11c9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed936fac6b0ab57004ea2d957456fa1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8aa3e510f891053e546b003d70eec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-06-25更新
|
362次组卷
|
2卷引用:四川省成都市蓉城名校联盟2021-2022学年高一下期期末联考理科数学试题
名校
解题方法
10 . 已知正项数列
的前n项和为
,且
和
满足:
.
(1)求
的通项公式;
(2)设
,求
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62fdc2d2b5964199bc79269ebdbeec87.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d005409790b3192705a181b2c8e7dfed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-06-24更新
|
655次组卷
|
2卷引用:四川省德阳市第五中学2021-2022学年高一下学期6月月考文科数学试题