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解题方法
1 . 已知
中,
,
、
分别是
、
的等差中项与等比中项,则
的面积等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1caf493da340bf364c56d37cab3ef30b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d9d62804daa6e74daaf8373d3f2e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c3cbbc07eb335383d960c26a702cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058d4227741ba0fbbd72c10e757607ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2020-05-05更新
|
526次组卷
|
4卷引用:陕西省宝鸡中学2022届高三下学期高考模拟文科数学试题
2 . 已知数列
中
,且满足
.
(1)求证:数列
为等比数列.
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83eb0330e4696b03f9dd70f276447a1b.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf3da897eb73b729f66bb0d700775c5.png)
(2)求数列
![](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)
您最近一年使用:0次
名校
3 . 在数列
中,任意相邻两项为坐标的点
均在直线
上,数列
满足条件:
,
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df4cb89147a85324ece512cd034bb44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e46d392f0dde0f80b3d1a31f969715f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0d5adc7d9c5b859add88e5b4a62f07.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9659285718f2ad91c229e413b45f1fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2020-02-07更新
|
3677次组卷
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10卷引用:2020届陕西省榆林市高三模拟第一次测试文数试题
2020届陕西省榆林市高三模拟第一次测试文数试题黑龙江省大庆铁人中学2020届高三考前模拟训练文科数学试题2020届高三1月(考点06)(文科)-《新题速递·数学》河北省承德第一中学2020届高三下学期3月线上考试数学(文)试题(已下线)冲刺卷01-决战2020年高考数学冲刺卷(山东专版)(已下线)提升套餐练01-【新题型】2020年新高考数学多选题与热点解答题组合练(已下线)专题04 求数列的通项公式(第二篇)-备战2020年高考数学大题精做之解答题题型全覆盖(已下线)考点21 求和方法(第1课时)讲解-2021年高考数学复习一轮复习笔记湖南省邵阳市邵东县第一中学2020-2021学年高三上学期第二次月考数学试题重庆市第十八中学2023-2024学年高二上学期期末数学模拟试题
4 . 已知数列
满足
,当
时,
,且点
是直线
上的点,则数列
的通项公式为_________ ;令
,则当k在区间
内时,使y的值为正整数的所有k值之和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047c5159dca60e0fb2e98558e6d02592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a8100f98999e472945ab7050af50d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb33cf1e88b486571012d18ca99a34f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25afe415c6baad8a3d38cba3dac24553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afade50377757c0664b549623415c59a.png)
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5 . 记
是等比数列
的前
项和,若
,则公比
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](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/cdd3a25ac2cde3d2c884028f750cfff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
A.![]() | B.![]() | C.![]() | D.无法确定 |
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2020-01-30更新
|
716次组卷
|
4卷引用:2020届陕西省咸阳市高三第一次高考模拟检测数学(文)试题
2020届陕西省咸阳市高三第一次高考模拟检测数学(文)试题2020届陕西省咸阳市高三上学期期末考试数学(文)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】
解题方法
6 . 已知等比数列
是递增函数,并且满足
,
是
和
的等差中项.
(1)求数列
的通项公式;
(2)若
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a316124e688e76d6f330ffbea49d427d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d473bfcc52ebc119430335531488a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44760fc45f09bdb2ef677b42fb37375f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
7 . 在数列
中,
(
).
(1)证明数列
为等比数列,并求
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e541ddf4c8fe897b987a1e88cf1f0f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6accb80eb5eed305c98caee6413be64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8713f8cfbbc8f40b2161790c7899bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2019-11-05更新
|
1243次组卷
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3卷引用:陕西省安康市2020届高三第一次教学质量联考文科数学试题
陕西省安康市2020届高三第一次教学质量联考文科数学试题辽宁省葫芦岛市六校协作体2019-2020学年高三上学期11月月考数学(文)试题(已下线)第20讲 数列的通项公式-2022年新高考数学二轮专题突破精练
名校
8 . 已知等比数列
是递增数列,且
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26f2ca8bbc40f4992008eb9947b5269.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e07e499ef40e94f95e6b060b41ca446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2019-07-09更新
|
1143次组卷
|
3卷引用:2020届陕西省渭南市临渭区高三模拟考试数学(理)试题
9 . 已知函数
,数列
为等差数列,其中
,
为
的最小值.
(1)求
的通项公式.
(2)已知
是正项等比数列,
,
,求
的通项公式,并求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17dda3a1bd83367abc5872797e424bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c072bbf0571ce960b5e580a4192f4b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18156edebadef55784d134dd2cbf1df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86801504bd014e0bdba875176fa015cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5344eadd4711db34e3f935aedd5fb270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2019-04-18更新
|
620次组卷
|
3卷引用:【市级联考】陕西省汉中市2019届高三年级教学质量第二次检测考试文科数学
10 . 已知
为等比数列
的前
项和,公比
,且
,等差数列
满足
,
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)设
是数列
的前
项和,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](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/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0863cf59114f905e9ad3debc5572792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c340fdadffa2f9120a70430ce477f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697f339b79aed77778f667f4d20eff1d.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2019-04-04更新
|
685次组卷
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2卷引用:【校级联考】陕西省汉中市略阳天津高级中学、留坝县中学、勉县二中等12校2019届高三下学期校级联考数学(文)试题