解题方法
1 . 已知
是公差不为零的等差数列,
,且
,
,
成等比数列.
(1)求数列
的通项公式;
(2)设
,求数列
的前
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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e042d7b097991b97e003668c36723969.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
解题方法
2 . 椭圆
的左右焦点分别为
为椭圆上位于x轴上方的两点,且满足
,若
构成公比为2的等比数列,则C的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178a7d367d8f54879319595cf77a14be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2a4ade863ff50aeddb04d834633f95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a93e307651877ffb81b1296b0b6151d.png)
您最近一年使用:0次
2023-01-10更新
|
243次组卷
|
2卷引用:山西省吕梁市2023届高三上学期期末数学试题
3 . 两数1、9的等差中项是a,等比中项是b,则曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351d429d1e666f9bf4b1e4b653b3ef4f.png)
A.![]() ![]() | B.![]() ![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 若
,
是函数
的两个不同的零点,
,
,
这三个数适当排序后可成等比数列,点
在直线
上,则
的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff9813fe15bbff4787bed922da0727e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a31d53a01d0223c3b4782327363b64e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af175f0d93952178f36edaeda9139ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaacfaef44a654c0a1c283ef03fc0550.png)
A.6 | B.7 | C.8 | D.9 |
您最近一年使用:0次
5 . 若
、
、
成等比数列,
、
、
成等差数列,
、
、
成等差数列(
、
均不为
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28c29772f10f7e49ce52f34795acdb5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28c29772f10f7e49ce52f34795acdb5.png)
您最近一年使用:0次
6 . 设公差不为零的等差数列
满足
,且
,
,
成等比数列.
(Ⅰ)求数列
的通项公式;
(Ⅱ)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562bf10d55724c77204c6953c7fbf7e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ef79df2b1c86c21fc4a1c74ebef92e.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
2019-10-24更新
|
478次组卷
|
2卷引用:山西省晋中市祁县第二中学2019-2020学年高一下学期期末数学试题
名校
7 . 已知
,
,
,
的等比中项是1,且
,
,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c12fdf51f21eec87e1cdc2e9d91a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe217e2c6fa100b4be69172f5ea8bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
您最近一年使用:0次
2019-07-29更新
|
499次组卷
|
2卷引用:山西省大同市2018-2019学年高一下学期期末数学试题
8 . 若a,b是方程
的两个根,且a,b,2这三个数可适当排序后成等差数列,也可适当排序后成等比数列,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f072606fec701d68013912b0ef841e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaacfaef44a654c0a1c283ef03fc0550.png)
A.-4 | B.-3 | C.-2 | D.-1 |
您最近一年使用:0次
2019-05-18更新
|
1802次组卷
|
5卷引用:山西省长治市第二中学2018-2019高一下学期期末考试数学试题
山西省长治市第二中学2018-2019高一下学期期末考试数学试题【全国百强校】重庆市第八中学2018-2019学年高一下学期半期考试数学试题湖北省武汉市蔡甸区汉阳一中2021届高三下学期二模数学试题(已下线)本册内容检测(提高卷)-《阳光测评》2020-2021学年高二数学单元提升卷(人教A版2019选择性必修第二册)2023版 湘教版(2019) 选修第一册 过关斩将 第1章 本章复习提升
9 . 公差不为零的等差数列
的前
项和为
.若
是
的等比中项,
,则
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d199f9235e3bd36bfa78c3772e941896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d509e687eab55e20a6a41e0b67c34c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162924093ab285e14c54391d4ffd7b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47282d4c54f4f8e0ce47ed9fd865fa50.png)
A.18 | B.24 | C.60 | D.90 |
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2018-11-25更新
|
374次组卷
|
2卷引用:山西省长治市第二中学2018-2019高一下学期期末考试数学试题
10-11高三上·湖南·期末
名校
10 . 已知公差不为0的等差数列
满足
成等比数列,
为
的前
项和,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920ad6b9e7f1c2c4a5a3025ba57e71b1.png)
![](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/83cb2155335ce8d2196db0ac364706a9.png)
A.2 | B.3 | C.![]() | D.4 |
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2016-11-30更新
|
1100次组卷
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6卷引用:山西省康杰中学2016-2017学年高二下学期期末考试数学(文)试题