名校
解题方法
1 . 在圆
内,过点
有
条弦的长度成等差数列,最小弦长为数列的首项
,最大弦长为
,若公差
,那么
的取值集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8488cc02b3cd29f714dc01b78ae70bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82cc839d42762fb509859035b11dae8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d75e2ee51ee0601b5d58d7f599c7c56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-02-05更新
|
419次组卷
|
6卷引用:专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练
2022高三·北京石景山·专题练习
解题方法
2 . 两数1、9的等差中项是
,等比中项是
,则曲线
的离心率为( )
![](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/1d7aea48c44781a844b5c19191f70f61.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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3 . 已知曲线
的方程为
,过平面上一点
作
的两条切线,切点分别为
、
,且满足
,记
的轨迹为
,过一点
作
的两条切线,切点分别为
,
满足
,记
的轨迹为
,按上述规律一直进行下去
,记
且
为数列
的前
项和,则满足
的最小的
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527dbc371c91a69a5fdc5ce3e6aa3866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c183c5da8f2d049abfbf4f3e2d20d2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a95ab51c0a0e6b7b5c2e22d3764f08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b78e4a03d4595f14be42054b61dfc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f026b9357f23b34e49cecbd91002c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.5 | B.6 | C.7 | D.8 |
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2022高三·北京石景山·专题练习
名校
解题方法
4 . 已知椭圆
上有
个不同的点
,
,
,
,
.设椭圆的右焦点为
,数列
是公差大于
的等差数列,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1657c65ebac1de662a9dd519106cd035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b560e7bd20817cfe01201e768b8140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.2007 | B.2006 | C.1004 | D.1003 |
您最近一年使用:0次
2021-09-29更新
|
723次组卷
|
4卷引用:专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练
(已下线)专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练(已下线)专题3 解析几何与数列新疆喀什第二中学2021-2022学年高二11月月考数学试题北京市2022届高三普通高等学校招生全国统一考试数学模拟试题
2022高三·北京石景山·专题练习
名校
解题方法
5 . 过椭圆
的右焦点
并垂直于
轴的直线与椭圆的一个交点为
,椭圆上不同的两点
,满足条件:
成等差数列,则弦
的中垂线在
轴上的截距的范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b747db7eaf469c6d1607e4b0d028299f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5455162ce7a2609cf872e7e04ef885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820e027b27139577ae8b51d18de371f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022高三·北京石景山·专题练习
名校
6 . 已知数列
的各项均为正数,
,点
在抛物线
上,则过点
和
的直线的一个方向向量的坐标可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0444d4354907889ebecf1709e2dcfe4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259991a7c2f010921537126ef62f00e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2ccae260139eb2d297208bf7f09493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c22fb62544b134bd32d8da7ac05c56.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2021-09-29更新
|
217次组卷
|
3卷引用:专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练
(已下线)专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练新疆喀什第二中学2021-2022学年高二上学期期中考试数学试题辽宁省大连市庄河市高级中学2022-2023学年高二上学期12月月考数学试卷(A)
2022高三·北京石景山·专题练习
名校
解题方法
7 . 已知数列
,2,3,
,
,圆
,圆
,若圆
平分圆
的周长,则数列
的所有项的和为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d78af7d9cc1760c70c517984fdc583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52301dea1c9c87c28377076f0b808cc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30880085b2750d29b62ac216aeb10930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fbe704e9a0c011611a0edff8021dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
您最近一年使用:0次
2022高三·北京石景山·专题练习
8 . 在平面直角坐标系
中,已知点
,
,
,
,
,
,
,
,
均在抛物线
上,线段
与
轴的交点为
.将
,
,
,
,
的面积分别记为
,
,
,
,
.已知上述三角形均为等腰直角三角形,且它们的顶角分别为
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3da17dce-11aa-466c-a1f1-54d5c0a48ad7.png?resizew=257)
(1)求
和
的值;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c409342fc919eb584f62ce8799578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d255a656d442bd0046aefa19b9e30bc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374cb268ffa23fc0bf12c6e6dc873c4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bd7d18f67e90a7c37fad4252e43c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb99c20237aca8ff2ba640c28fbc5b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0128263e2c4a9e27c8798676f722d21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2341fdfa4b817b7280409c4f205944d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf2b3ec3dc92cd902eff76085ad46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86163e76653de1f383788b741fb64a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bd7d18f67e90a7c37fad4252e43c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3da17dce-11aa-466c-a1f1-54d5c0a48ad7.png?resizew=257)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bd80c062657e6f053c6688ba35e662.png)
您最近一年使用:0次
9 . 如图,抛物线
上的点与
轴上的点构成等边三角形
,
,
,
其中点
在抛物线上,点
的坐标为
,
,猜测数列
的通项公式为________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76327057b9c0f1487eff161501f635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96af5f255f4200bf471b86db15ece3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da964066811a1a61bc647c5c9d2608fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602a8e9e98de8c6a6835d1a9fbba467c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fb378d6bf91902efa15881985c5e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://img.xkw.com/dksih/QBM/2021/8/22/2791798828417024/2818425782640640/STEM/265f713e-8948-446c-a2ff-f4d1ba3076ea.png?resizew=250)
您最近一年使用:0次
2021-09-29更新
|
830次组卷
|
5卷引用:专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练
(已下线)专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练(已下线)专题5数列运算综合闯关 (提升版)广东省深圳市宝安区2021-2022学年高二上学期期末数学试题辽宁省锦州市2021-2022学年高二下学期期末考试数学试题广东省东莞市石竹实验学校2022-2023学年高二下学期开学学情调查数学试题
2022高三·北京石景山·专题练习
解题方法
10 . 椭圆
上有
个不同的点
,
,
,
,椭圆的右焦点为
,数列
是公差大于
的等差数列,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1657c65ebac1de662a9dd519106cd035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b38c5688914317f4a6eef630cba36d08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.2000 | B.2001 | C.2003 | D.2005 |
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