名校
解题方法
1 . 已知
是公差为2的等差数列,数列
的前
项和为
,且
.
(1)求
的通项公式;
(2)求
;
(3)[x]表示不超过
的最大整数,当
时,
是定值,求正整数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf00fb77189850ff6e81b0e6c2fa676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be121af66c0d2ac5bfe33cfc04b262c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)[x]表示不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fef5f2a4235817fb704d29e08766e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c168958554401756b604b62bc37f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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昨日更新
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3卷引用:河北省南宫市私立丰翼中学2023-2024学年高二下学期第三次月考(5月)数学试卷
河北省南宫市私立丰翼中学2023-2024学年高二下学期第三次月考(5月)数学试卷2024届广东省江门市新会华侨中学等校高考二模数学试题(已下线)专题07 数列通项与数列求和常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
名校
解题方法
2 . 已知函数
.
(1)当
时,
恒成立,求
的取值范围;
(2)设
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d608407a12846ee52845751b84471c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385d802db44c85df39ed0eb07ecce90e.png)
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7日内更新
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102次组卷
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2卷引用:河北省邢台市名校联盟2023-2024学年高二下学期第三次月考(6月)数学试题
名校
解题方法
3 . 已知
,直线
为平面内的一个动点,过点
作
的垂线,垂足为
,且
,动点
的轨迹记为曲线
.
(1)求
的方程;
(2)若直线
交
于
两点,交圆
于
两点,且
,当
的面积最大时,求
的倾斜角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2f61620e2b2cca65f8e581909658d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd29e35cee24a67a35c043d7b87b654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b33328faae2d2d4921900e97424de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ad7e0e730caaebab54e28873c38543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
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7日内更新
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90次组卷
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2卷引用:河北省南宫市私立丰翼中学2023-2024学年高二下学期第三次月考(5月)数学试卷
名校
解题方法
4 . 已知双曲线
的右焦点F到其渐近线的距离为
,又P为双曲线上一点,且满足:
轴,且
.
(1)求双曲线的标准方程;
(2)过F点作直线l与双曲线的右支交于A、B两点(A、B不与P点重合),且与
交于Q点,问:是否存在常数t,使得
成立?若存在,求出t值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177ae60ade0b7ac20e7bdc40eaa1ef5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b1da9046b4cb82135a4a1eaa528c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0add7417a4c3f4a546f0a15c565af023.png)
(1)求双曲线的标准方程;
(2)过F点作直线l与双曲线的右支交于A、B两点(A、B不与P点重合),且与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9c9ae2e9b48abac15029ea991e6093.png)
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2024-05-29更新
|
237次组卷
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2卷引用:河北省邢台市第一中学2023-2024学年高二下学期期中测试数学试题
5 . 已知定点
,
轴于点H,F是直线OA上任意一点,
轴于点D,
于点E,OE与FD相交于点G.
(1)求点G的轨迹方程C;
(2)过
的直线交C于P,Q两点,直线AP,AQ的斜率分别为
和
,证明:
为定值;
(3)在直线
上任取一点
,过点B分别作曲线C:
的两条切线,切点分别为M和N,设
的面积为S,求S的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7277dcfb480720f2f37413cb0d34d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7ec9f3e17dbb0362a8c9aac629a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a91621dc26d771853fd1f0d9bdf04c7.png)
(1)求点G的轨迹方程C;
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1efe96e7776f1b5dfa92c295f8d97d.png)
(3)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906fc0c4a747cfa348986baefbd02752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
您最近一年使用:0次
名校
6 . 已知向量
,若函数
.
(1)求函数
的最小正周期;
(2)若
,求
的最值及取得最值时的
值;
(3)若函数
在
内有且只有一个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0b7df22c38eb1efabf5439faab7fb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a636abb4a7d756eb1c3e120df822830b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa0b13116954f6338e1b3048d37a70d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25079f12119793682bee7dcd103d12e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e32a34b3381654b4e3a7e0324b896b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-05-11更新
|
565次组卷
|
4卷引用:河北省邢台市第一中学2023-2024学年高一下学期5月期中测试数学试题
名校
解题方法
7 . 在函数极限的运算过程中,洛必达法则是解决未定式
型或
型极限的一种重要方法,其含义为:若函数
和
满足下列条件:
①
且
(或
,
);
②在点
的附近区域内两者都可导,且
;
③
(
可为实数,也可为
),则
.
(1)用洛必达法则求
;
(2)函数
(
,
),判断并说明
的零点个数;
(3)已知
,
,
,求
的解析式.
参考公式:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955689923ebe1be46168295644f4a178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef9c42b3bfeac3b11f6f2f7c5227967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7490f915131bdb436285e3fb284817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba30ad5f21a62879bba0aee45b81507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e530f639eaa27858ed7db451e2ed576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4658c5369aa8a25ea8580f524e87da.png)
②在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf90c83ba8da83994264cb5b8b2f15f4.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56af5e590e8152c9a7ded6209e446ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de3f06b6df7b949c5e6b406a661079f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f32baa7d29934cde8a5203388ed18c6.png)
(1)用洛必达法则求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782ec35f212cb1448863b4b15e806814.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161ab6e6a97905ea5bb2b3fc390ab7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deda945164283569437cda6976fe35ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddd2a1b30b9ad891172f7f21c5a2701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc2b7be871fef904c94ef6360ee32bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f385eacc118fe9b5f0c23182929d6a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9005b464218c70a9963452693645cf2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9949db821a880972efbfb32354cd6bd.png)
您最近一年使用:0次
2024-04-24更新
|
776次组卷
|
4卷引用:2024届河北省邢台市部分高中二模数学试题
名校
解题方法
8 . 双曲线
上一点
到左、右焦点的距离之差为6,
(1)求双曲线
的方程,
(2)已知
,过点
的直线
与
交于
(异于
)两点,直线
与
交于点
,试问点
到直线
的距离是否为定值?若是,求出该定值;若不是,请说明理由,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b9b445242927a1bf30cb82a763af275.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3c9967968279271d8cf1f9444c0ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b569572c8d9bf05d78d3ab741e68bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279563c3c055777ce1aa369a2ef54aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
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2024-04-12更新
|
2176次组卷
|
8卷引用:河北省邢台市2024届高三下学期教学质量检测(一)数学试题
9 . 已知函数
.
(1)判断
的单调性;
(2)当
时,求函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793d611e689986951b99307bbc0a6d53.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d65cd83710143ac3ae8f77b7e1f832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d91867b6946d333e6574d6f9e0d84d.png)
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2024-04-07更新
|
1065次组卷
|
3卷引用:河北省邢台市五岳联盟2024届高三下学期模拟预测数学试题
10 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b652e9ae697aaf83d3f13ac97cae308.png)
(1)若
的值域为
,求满足条件的整数
的值;
(2)若非常数函数
是定义域为
的奇函数,且
,
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853f9db73ed0b83a813c645758d6e56d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b652e9ae697aaf83d3f13ac97cae308.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de0b2aa451ca49b289b5ce99dbbb1ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若非常数函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924e2a44ebdbd85a75cba44bc24149c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f464c14d28814ee9c1b7a744da92a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319aea6ba5f3e2445a054141c47b0d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f33fa4634d68fd772d6360f1415862c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-19更新
|
359次组卷
|
8卷引用:河北省邢台市五岳联盟2024届高三上学期9月月考数学试题
河北省邢台市五岳联盟2024届高三上学期9月月考数学试题江西省部分高中学校2024届高三上学期9月大联考数学试题河南省2023-2024学年高三上学期一轮复习阶段性检测(三)数学试题(已下线)专题4.7 指数函数与对数函数全章八类必考压轴题-举一反三系列(已下线)6.3 对数函数(2)-【帮课堂】(苏教版2019必修第一册)(已下线)专题2.3 幂函数与指、对数函数【九大题型】黑龙江省大庆铁人中学2023-2024学年高一下学期开学考试数学试题陕西省西安市高新第一中学2023-2024学年高一下学期第二次月考数学试题