1 . 已知数列
满足
(
,且
),且
成等差数列.
(1)求数列
的通项公式;
(2)若
,求数列
的前n项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6014770cbed815b3bc7b7ab75fbc1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab965b07c18f28056b98143e06ee3ad1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152e0d73ac48569b81e0b68aadfffecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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解题方法
2 . 函数
,其中
.
(1)当
时,求
在区间
上的最大值和最小值;
(2)若函数
在
和
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4280adea02588850b0a1af4844fcea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cda1ec4a6eb5dcf44c959a25e20f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知奇函数
在定义域
上单调递减,则不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a586db490f068841d0bb4dbc8a9780b3.png)
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4 . 已知
,
,
均为正实数.
(1)求证:
;
(2)若
,求
的最小值.
![](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)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eefb6ab060d0a77a4e5f5659315000d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce460941cf3ff54ccb6aec5085689a91.png)
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解题方法
5 . 已知函数
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3e00be715e0980b5ea96e8136ba5c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b5196dbfdde7d90e44eb5a5bcaee14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6832243cee582e76407ab0d200df9a5.png)
A.6 | B.4 | C.2 | D.1 |
您最近一年使用:0次
2022-11-15更新
|
427次组卷
|
2卷引用:甘肃省兰州第一中学2022-2023学年高一上学期期中考试数学试题
名校
解题方法
6 . 已知等差数列
中,
,
.
(1)求
的通项公式及前n项和
;
(2)若
,则求
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ba808c24aeae6a2f34b98ae5ec04ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a39dabf1d2cb4094bd2178576970d29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae0713333e4ddf145679fba5b85f3c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
7 . 已知直线
.
(1)若直线l不能过第三象限求k的取值范围;
(2)若直线l交x轴负半轴于点A,交y轴正半轴于点B,O为坐标原点设
的面积为S,求S的最小值及此时直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ef564ec40709f58d1a2505b52c2407.png)
(1)若直线l不能过第三象限求k的取值范围;
(2)若直线l交x轴负半轴于点A,交y轴正半轴于点B,O为坐标原点设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2022-11-12更新
|
476次组卷
|
7卷引用:甘肃省兰州市外国语高级中学2022-2023学年高二上学期期中数学试题
甘肃省兰州市外国语高级中学2022-2023学年高二上学期期中数学试题吉林省长春外国语学校2021-2022学年高二下学期期初考试数学试题(已下线)1.2 直线的方程(1)河北省石家庄市十八中2022-2023学年高二上学期第一次月考数学试题(已下线)【题型分类归纳】2022-2023学年高二数学同步讲与练(空间向量与立体几何、直线与圆、圆锥曲线、数列)(已下线)第09讲 直线的方程(1)福建省漳州市华安县第一中学2023-2024学年高二上学期第一次(10月)月考数学试题
名校
8 . 已知圆
:
,
为圆
上任一点,
为定点,
的中点为
.求:
(1)动点
的轨迹方程;
(2)过圆
的圆心作动点
的轨迹的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e892ccfb382cdd5ee5dbb710542b1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241ce9bd28046ce9b90f43b391132884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2022-11-09更新
|
162次组卷
|
2卷引用:甘肃省兰州市外国语高级中学2022-2023学年高二上学期期中数学试题
名校
9 . 已知
的顶点
,
,
.
(1)求边
上的高所在直线的方程;
(2)求
的外接圆方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14168792b74b97b8bc51531604ba36b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778a6b586f97b314c432a4dbdd6d821b.png)
(1)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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10 . 已知圆
,从点
观察点
,要使视线不被圆O挡住,则a的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56648a303009f944e1a9983c3f62c7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c3475f67b5521454a5a81ce0816f2c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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