1 . 函数
,数则
满足
.
(1)求证:
为定值,并求数列
的通项公式;
(2)记数列
的前n项和为
,数列
的前n项和为
,若
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c18038df6ffb04b228446e28449a422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397f04518d59979ccb2e97ca54d67355.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3caaf39cc15fc52ecae71ac5bc0e1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记数列
![](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/5a0d58a97a8cebc0ff57ed57b4a3ed84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5a1bddcf44de4a79760022930d5f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2013·江苏淮安·二模
名校
解题方法
2 . 已知
展开式的各项依次记为
.设函数
.
(1)若
的系数依次成等差数列,求正整数
的值;
(2)求证:
,恒有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7506bbf15ca5a2b36bba7e46f32df84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82fc6513cbb3680c97b6a52dcd17fd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2951e58ef2f1f504bdb71bdee770bff8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909623749d94e2ce3f8873edab20e6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18fe74b9c8adc168f21a36951d8711d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9c39fa72f7a96bb1d24a5099ab933f.png)
您最近一年使用:0次
2016-12-04更新
|
570次组卷
|
8卷引用:第03讲 二项式定理(核心考点讲与练)-2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)
(已下线)第03讲 二项式定理(核心考点讲与练)-2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)专题11.2 二项式定理(练)-江苏版《2020年高考一轮复习讲练测》(已下线)专题20 计数原理(模拟练)江苏省徐州市睢宁县第一中学2021-2022学年高二3月学情检测数学试题(已下线)2013届江苏省淮安市清江附中高三第二次调研测试数学试卷2016届江苏省扬州中学高三上学期12月月考数学试卷江苏省2018年高考冲刺预测卷一数学2016届上海市南洋模范中学高三5月三模数学试题
3 . 设数列
是公差为
的等差数列.
(1)推导
的前
项和
公式;
(2)证明数列
是等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(1)推导
![](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)
(2)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
您最近一年使用:0次
2016-12-04更新
|
837次组卷
|
3卷引用:第4.4讲 数列求和综合应用-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)
(已下线)第4.4讲 数列求和综合应用-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)2015-2016学年内蒙古赤峰市宁城县高二上学期期末文科数学试卷2015-2016学年内蒙古赤峰市宁城县高二上学期期末考试文科数学试卷