14-15高三上·浙江嘉兴·期中
1 . 数列
满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b237015aa33cf46b731c13adc6ea416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b69c0c391f07c390e277a603bbe1e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b237015aa33cf46b731c13adc6ea416.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-03更新
|
710次组卷
|
3卷引用:2015届浙江省桐乡第一中学等四校高三上学期期中联考文科数学试卷
(已下线)2015届浙江省桐乡第一中学等四校高三上学期期中联考文科数学试卷浙江省宁波市鄞州中学2018-2019学年高一下学期期中数学试题江西省宁冈中学2020-2021学年高二上学期第一次段考数学(理)试题
2 . 在数列
中,
,并且对于任意
,都有
.
(1)证明数列
为等差数列,并求
的通项公式;
(2)设数列
的前
项和为
,求使得
的最小正整数
.
![](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/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950c6303c2ec03e48137be8addf9245c.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abcd2711fd4341a9e8fc3e9a041d900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d185b833d4c128fdb2916212516abe6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3b52b4c0b54401a1dfc035c43edd82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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3 . (1)已知等差数列
,
,求证:
仍为等差数列;
(2)已知等比数列
,
,类比上述性质,写出一个真命题并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/507d7b946bbd474c10eeebca6dc096d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)已知等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdee73abf72b450eedb34a7101b0384.png)
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解题方法
4 . 在数列
中,已知
,前
项和
满足
(
),则当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://img.xkw.com/dksih/QBM/2016/7/27/1572941069762560/1572941075906560/STEM/cc45e80aa711424d94715f92c4ddc155.png?resizew=43)
![](https://img.xkw.com/dksih/QBM/2016/7/27/1572941069762560/1572941075906560/STEM/0de39f7a9673430680a7e03eacc0a7c1.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76597277d2f13c167579c2d73b6b4606.png)
![](https://img.xkw.com/dksih/QBM/2016/7/27/1572941069762560/1572941075906560/STEM/0856b3a78ea64746ad99bd4b203037f7.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2016/7/27/1572941069762560/1572941075906560/STEM/964b53bc63e2443cb918cb34ed97679c.png?resizew=36)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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解题方法
5 . 数列
的各项都是正数,
,
,那么此数列的通项公式为![](https://img.xkw.com/dksih/QBM/2016/7/4/1572870398607360/1572870404145152/STEM/c8b3bf265a834dc7a378aae3541cb6d6.png?resizew=33)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572870398607360/1572870404145152/STEM/e120b7d497964de0a23f593ed227bd2c.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572870398607360/1572870404145152/STEM/bb13489862924368b4ed8d503a4cc92e.png?resizew=99)
![](https://img.xkw.com/dksih/QBM/2016/7/4/1572870398607360/1572870404145152/STEM/c8b3bf265a834dc7a378aae3541cb6d6.png?resizew=33)
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13-14高一下·湖北宜昌·期中
解题方法
6 . 已知数列
满足条件
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa37e5661af68b263a3ed9030d4e9003.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0cc15345727d58170ac0e58f48e484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa37e5661af68b263a3ed9030d4e9003.png)
您最近一年使用:0次
2016-12-02更新
|
3666次组卷
|
4卷引用:2014届湖北省宜昌示范教学协作体高一下学期期中考试数学试卷
(已下线)2014届湖北省宜昌示范教学协作体高一下学期期中考试数学试卷2015-2016学年甘肃省张掖市二中高二上学期10月月考文科数学试卷2015-2016学年甘肃省张掖市二中高二上学期10月月考理科数学试卷2016届黑龙江省大庆实验中学高三12月月考文科数学试卷
解题方法
7 . 已知等比数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0918f03a5223bdf8d32db1f73e42b188.png)
(1)求
的通项公式;
(2)若
,求证:
是等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0918f03a5223bdf8d32db1f73e42b188.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a545067361607f3c5aa594b13fc4da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2020高三·全国·专题练习
8 . 已知数列{an}满足an≠0,a1=
,an-an+1=2anan+1,n∈N+.
(1)求证:
是等差数列,并求出数列{an}的通项公式;
(2)若数列{bn}满足bn=
,求数列{bn}的前n项和Tn.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2fc88f01202a8fe814fd32839e366e7.png)
(2)若数列{bn}满足bn=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa59f3cbfcae4c7ac82ad0e182e71425.png)
您最近一年使用:0次
9 . 已知数列
满足:
,
,
.
(1)证明:数列
为等差数列,并求出数列
的通项公式;
(2)记
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3afe09c61a939e087f5da0c15f710cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4cecbdebeb5d12fbe1d54b81cc05a8.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
解题方法
10 . 已知数列
满足
,则“ 数列
为等差数列” 是“ 数列
为 等差数列”的
![](https://img.xkw.com/dksih/QBM/2017/1/12/1619454552276992/1619454552473600/STEM/5c54c170530445cabd90307be7da275e.png)
![](https://img.xkw.com/dksih/QBM/2017/1/12/1619454552276992/1619454552473600/STEM/cb99569bba8f42b38402cc59eb483b1b.png)
![](https://img.xkw.com/dksih/QBM/2017/1/12/1619454552276992/1619454552473600/STEM/fddc49b5298f4a50876fc40801488682.png)
![](https://img.xkw.com/dksih/QBM/2017/1/12/1619454552276992/1619454552473600/STEM/faee1bb13df540c1bed99549d282c164.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.即不充分也不必要条件 |
您最近一年使用:0次