1 . 已知数列
的前
项和
满足:
.
(1)求证:数列
是等比数列,并求数列
的通项公式;
(2)若数列
满足
,
为数列
的前
项和,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/67bd36be3bb1aa5eb5db74b2a7af7f7e.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c485d7f863edc6299df64bd89d4705b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e2b779d4e1468d0cc9bb859653f618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de633c277a234e59e274ffb1f9d59718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf49305249eb983fb10c95c2287d1ee.png)
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2017-06-20更新
|
996次组卷
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4卷引用:重庆市铜梁中学2021-2022学年高二上学期第三次月考数学试题
名校
2 . 已知数列
的前
项和为
,且
(
)求数列
的通项公式;
(
)若数列
满足
,求数列
的通项公式;
(
)在(
)的条件下,设
,问是否存在实数
使得数列
是单调递增数列?若存在,求出
的取值范围;若不存在,请说明理由.
![](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/330046e64d8b57b7b4e111c1518cd18b.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a57ea296b39fb59670bea9034831ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8463e324a3c9e15814de5c3ca425fbb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de911b700f789379ae46e2cb2067cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2017-03-20更新
|
2696次组卷
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12卷引用:重庆市第八中学校2023-2024学年高二下学期入学适应性训练数学试题
重庆市第八中学校2023-2024学年高二下学期入学适应性训练数学试题辽宁省实验中学东戴河分校2019-2020学年高二上学期10月月考数学试题江苏省徐州市丰县中学2020-2021学年高二上学期9月第一次调研测试数学试题(已下线)专题06 数列在高考中的考法(难点,十一大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)辽宁省沈阳市第一二〇中学2023-2024学年高二下学期第二次质量监测数学试题陕西省汉中市西乡县第一中学2023-2024学年高二下学期期中考试数学试题2017届江苏省如东高级中学高三2月摸底考试数学试卷上海市洋泾中学2018—2019学年高三下学期3月月考数学试题上海市十校2016-2017学年高三下学期3月联考数学试题2017届上海市十二校高三下学期3月联考数学试题(已下线)必刷卷09-2020年高考数学必刷试卷(新高考)【学科网名师堂】-《2020年新高考政策解读与配套资源》(已下线)卷09-2020年高考数学冲刺逆袭必备卷(山东、海南专用)【学科网名师堂】
3 . 已知数列{
}的首项为1,
为数列{
}的前n项和,
,其中q>0,
.
(Ⅰ)若
成等差数列,求数列{an}的通项公式;
(Ⅱ)设双曲线
的离心率为
,且
,证明:
.
![](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/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549b17fd03994ba73f3341b7189fc01b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168d1aaf6b99875b3c5c84882978e364.png)
(Ⅱ)设双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e692bfc8107c4819e98af3f74c89db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f567549e66b339299dbf8369ab5812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17ceba8160ccefa3c4bccc749491dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7532aa134229978d1e36af60959d237.png)
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2016-12-04更新
|
4204次组卷
|
7卷引用:重庆市育才中学2020-2021学年高二上学期10月月考数学试题
重庆市育才中学2020-2021学年高二上学期10月月考数学试题2016年全国普通高等学校招生统一考试理科数学(四川卷精编版)(已下线)专题14 数列综合-五年(2016-2020)高考数学(文)真题分项(已下线)专题19 数列的求和问题-十年(2011-2020)高考真题数学分项(已下线)考点21 数列求和问题-2021年新高考数学一轮复习考点扫描(已下线)2016年全国普通高等学校招生统一考试理科数学(四川卷参考版)专题28数列解答题
解题方法
4 . 已知数列
的前
项和为
,对于任意的正整数
都有
,且各项均为正数的等比数列
中,
,且
和
的等差中项是10.
(1)求数列
,
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/663e48327e9c4fcc99cb464757e03d6f.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/f3f6e63dde7b47de9b6102424a3b1a79.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/5cd816cb86234a3fb7ca62515a7ad82f.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/f3f6e63dde7b47de9b6102424a3b1a79.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/03491a2901b944eeb3a59814a1682da2.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/4e142aaeb8f547da882ed9c0451a96da.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/6fdb80f06663478ca255991528c3ebe1.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/39e5030d219046e4accfcf83a75d1fe3.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/2d870221bc2949bc8ce10eee4a71640d.png)
(1)求数列
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/663e48327e9c4fcc99cb464757e03d6f.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/4e142aaeb8f547da882ed9c0451a96da.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/cd3564770dcb4b8caf69ed7b39805d64.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/4c401c3fb37e4be6b2a0c46a9a476b5c.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/f3f6e63dde7b47de9b6102424a3b1a79.png)
![](https://img.xkw.com/dksih/QBM/2015/12/15/1572366134386688/1572366139957248/STEM/b91dd9a99caa4842964a2e1ea906ff55.png)
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13-14高二上·重庆·期末
解题方法
5 . 已知数列
满足
.
(1)求数列
的通项公式;
(2)设
,探求使
恒成立的
的最大整数值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbb0164533de1657ce8971b8636bedd.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7249dde4e505ca3490256616b21ab1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3f9a7f30a6107a0fe7140289e0c6f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
6 . 跳格游戏:如图,人从格子外只能进入第1个格子,在格子中每次可向前跳1格或2格,那么人从格子外跳到第8个格子的方法种数为
![](https://img.xkw.com/dksih/QBM/2017/11/22/1822490921271296/1825662520131584/STEM/485114a0a8b34d3386aa5016d9538fa3.png?resizew=180)
![](https://img.xkw.com/dksih/QBM/2017/11/22/1822490921271296/1825662520131584/STEM/485114a0a8b34d3386aa5016d9538fa3.png?resizew=180)
A.8种 | B.13种 | C.21种 | D.34种 |
您最近一年使用:0次
2016-11-30更新
|
1715次组卷
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6卷引用:2011—2012学年重庆市西南大学附中高二下期中理科数学试卷
(已下线)2011—2012学年重庆市西南大学附中高二下期中理科数学试卷福建省闽侯第四中学2017-2018学年高二上学期期中数学(理)试题(已下线)江西师大附中2010届高三第三次模拟考试数学(理)(已下线)专题10-4 排列组合小题归类(理)-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)2022年高考考前20天终极冲刺攻略(四)【理科数学】 (6月1日)(已下线)专题19 排列组合与二项式定理常考小题(20大题型)(练习)