已知椭圆
的离心率为
.
(1)求数列
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a8be3dec4ec0c40f7821307c545bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647020b0a1c11eaa91eb2b4ed9f2dd78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
更新时间:2023-02-17 17:33:22
|
相似题推荐
【推荐1】已知数列
中,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029c14bddad6c0ecb023738d05bac070.png)
(1)求证:数列
是等差数列,并求出
的通项公式;
(2)设
,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/029c14bddad6c0ecb023738d05bac070.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a17e053dee2f2b6831f09880b6728ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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适中
(0.65)
名校
解题方法
【推荐2】在等差数列
中,
,
.
(Ⅰ)求数列
的通项
;
(Ⅱ)令
,证明:数列
为等比数列;
(Ⅲ)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122931f239d21bbe91a696073c79716f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ef06b8ea6bbf164ba71f3232601656.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(Ⅱ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec7f3a20584d7a62afb2c0dc20cac6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(Ⅲ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf360a484966fc0da0798a8be176b516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解答题-问答题
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适中
(0.65)
解题方法
【推荐1】已知
是椭圆
的左、右焦点,过点
作倾斜角为
的直线
交椭圆于
两点,
.
(1)求椭圆的离心率;
(2)若
,求椭圆的标准方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475a3fdc7b27d5ffa8c864dc478903d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99ab29029a0a2604ba8fd5e9f238709.png)
(1)求椭圆的离心率;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f23420529a6a808d22d454e87a6194.png)
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适中
(0.65)
【推荐2】设椭圆C:
的左、右焦点分别为
、
,过点
的直线l与椭圆C相交于A、B两点,直线l的倾斜角为
,
的周长是焦距的3倍.
求椭圆C的离心率;
若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00df4f17848c072b51e80d427d486e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe8dc472dade6cea6943164792ab532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddec92f798aa2a4e3e13d2c65adf20d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8d7db2300f1d106c1e1a843c808c4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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