名校
解题方法
1 . 对于问题“求证方程
只有一个解”,可采用如下方法进行证明“将方程
化为
,设
,因为
在
上单调递减,且
,所以原方程只有一个解
”.类比上述解题思路,则不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c18c032d75893db45e61e6c4eb0d4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c18c032d75893db45e61e6c4eb0d4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cfb1e9557770560280b5248ae2d0d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856491b01dab707170d83a1bc4b1f257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec65a2bec3d4296c613a80b3ae41d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2197c1c9e5e09713fe45dc1e73edf509.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-08-07更新
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7卷引用:黑龙江省双鸭山市第一中学2022-2023学年高三上学期开学考试数学试题
2 . 数列
的前
项和为
,且满足
,
.
(1)证明:
是等比数列,并求数列
的通项公式
;
(2)设
,求证:
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/ea0375ccaa1d4de0a022bbc0d0309885.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/a504e9a3939a4eceb7ec1aa95adb7c8f.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/b824ba9702d244c2803019f9dbda82c7.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/73b53480674b452799b70420282e978f.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/a323c858ed524313a381e60b4c527394.png)
(1)证明:
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/e4b087503a214065b0ce0a9e5590204b.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/ea0375ccaa1d4de0a022bbc0d0309885.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/7a8239ff87864889891e2b4afefad383.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517c3094abd005bef02304ad54152e3c.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572332926500864/1572332932685824/STEM/7eca38a5360f48848a0efee467cdc546.png)
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名校
解题方法
3 . 已知双曲线
的焦距为
,点
在
上.
(1)求
的方程;
(2)直线
与
的右支交于
,
两点,点
与点
关于
轴对称,点
在
轴上的投影为点
.
(ⅰ)求
的取值范围;
(ⅱ)求证:直线
过点
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0c551cfc411bdb73d2d94e72a274ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51698f7095e795d4f0527b986ac1db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a771f2e80c8a29ed2ebd76498b0f49.png)
(ⅱ)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
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2024-05-13更新
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1204次组卷
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3卷引用:黑龙江省双鸭山市友谊县高级中学2024届高三下学期高考模拟(一)数学试题
4 . 已知数列
的各项均为正整数,设集合
,
,记
的元素个数为
.
(1)若数列A:1,3,5,7,求集合
,并写出
的值;
(2)若
是递减数列,求证:“
”的充要条件是“
为等差数列”;
(3)已知数列
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f885247785940c5c849210fb6f8abc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4884c506476f191d7919cd266c8c0212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a0c2bb484bf523189b093485eca999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
(1)若数列A:1,3,5,7,求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3197c615558fee3993d2a8deb9091f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d509697c5391a7c24d9bbc2c82422b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff241fc46c23ac975c5b39e87a9e46a.png)
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2024-04-19更新
|
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4卷引用:黑龙江省双鸭山市友谊县高级中学2024届高三下学期高考模拟(一)数学试题
黑龙江省双鸭山市友谊县高级中学2024届高三下学期高考模拟(一)数学试题吉林省长春市长春吉大附中实验学校2023-2024学年高二下学期5月期中考试数学试卷(已下线)2024年北京高考数学真题平行卷(基础)(已下线)集合与常用逻辑用语-综合测试卷B卷
名校
5 . 已知函数
.
(1)讨论函数
的单调性;
(2)当
时,证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3c99bd82e5a900022c3d20e2335ec4.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27f3e843409e6334c8bb2cb683722f3.png)
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10卷引用:黑龙江省双鸭山市第一中学2023-2024学年高二下学期4月月考数学试题
黑龙江省双鸭山市第一中学2023-2024学年高二下学期4月月考数学试题陕西省榆林市府谷县府谷中学2023-2024学年高二上学期开学考试数学试题(已下线)导数专题:导数与不等式成立问题(6大题型)-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)河南省洛阳市强基联盟(新安一高)2023-2024学年高二3月联考数学试卷 广东省清远市阳山县南阳中学2023-2024学年高二下学期第一次月考数学试题(已下线)高二下学期期中考试(范围:数列、导数、计数原理)-2023-2024学年高二数学下学期重难点突破及混淆易错规避(人教A版2019)(已下线)模块一 专题6 导数在不等式中的应用(讲)(人教B版)四川省巴中市平昌县第二中学2023-2024学年高二下学期第一次月考数学试题广东省潮州市松昌中学2023-2024学年高二下学期期中考试数学试题黑龙江省哈尔滨市第十一中学校2023-2024学年高二下学期期中考试数学试题
6 . 如图,在正三棱柱
中,
,点
为
的中点.
//平面
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8da7fd8e46e7db2d692486c252274cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
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名校
解题方法
7 . 如图,四棱锥
的底面
是矩形,
平面
为
的中点,
为PA上一点,且
.
平面BDQ;
(2)若二面角
为
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19210d688c39eb13fdf214dc517b1556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571c3a99cf0b5225444cc5d2d586874d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb178784aa857d4d4683e650273f054.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2386b1cb84295ef95039af00cc76772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c20e88a33043f4279fff360c81006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4ccef06bd7c89746239123517347c3.png)
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2024-06-11更新
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2卷引用:黑龙江省双鸭山市第一中学2024届高三下学期第五次模拟考试数学试卷
8 . 抛物线上的点
到C的准线的距离为5.
(1)求C的方程;
(2)已知直线l与C交于A,B两点,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cee097d4fe948c3d4f1b5c28b24adf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ea907b820c999daced6c12a4f876fc.png)
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2卷引用:黑龙江省双鸭山市第一中学2023-2024学年高二下学期开学考试数学试题
名校
9 . 已知函数
.
(1)当
时,讨论
的单调性;
(2)若
是
的两个极值点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/774d43498b111ed9b5bafaa3fe8818d2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e1e62266f846674d6837fbff34e42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655c90990e13cac00d36d671272c69b.png)
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名校
解题方法
10 . 如图,在正四面体
中,
,E,F,R分别是
,
,
的中点,取
,
的中点M,N,Q为平面
内一点.
平面
;
(2)若
平面
,求线段
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d527d4795ece4a5756d1cf8dba31e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff6089095a8b825eeb8002b6996929e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c9ca3af3eb8bc486f7b3f29f5065eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15057403dfc0a732373b407f50e4137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e6a0213f4a15624301afe1e84e1984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a7d6300ecdd7e2c8cd9aa0beee2386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753a64115d3ba7e6bb835b63e39fbdd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a54078fe5592ff77228ca55d084bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00d4825584cf2a3f381de72c179e22.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7f0fa2796055bf7482ddd11e713b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00d4825584cf2a3f381de72c179e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8d447a867fca2de04222a72885b659.png)
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2023-09-01更新
|
1155次组卷
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13卷引用:黑龙江省双鸭山市第一中学2023-2024学年高三上学期10月月考数学试题
黑龙江省双鸭山市第一中学2023-2024学年高三上学期10月月考数学试题安徽省芜湖市华星学校2021-2022学年高一下学期期中数学试题(已下线)第18讲 基本图形位置关系(已下线)8.5.3 平面与平面平行(2)-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)专题强化一 线面、面面的平行和垂直位置关系-《考点·题型·技巧》(已下线)专题08 空间直线与平面的平行问题(2) - 期中期末考点大串讲(已下线)第03讲 空间中平行、垂直问题10种常见考法归类(1)甘肃省永昌县第一高级中学2022-2023学年高一下学期期末考试数学试题(已下线)第一章 点线面位置关系 专题一 空间平行关系的判定与证明 微点5 平面与平面平行的判定与证明【基础版】(已下线)第09讲 空间的平行关系-【寒假预科讲义】(人教A版2019必修第二册)(已下线)第十一章:立体几何初步章末重点题型复习(2)-同步精品课堂(人教B版2019必修第四册)(已下线)11.3.3 平面与平面平行-【帮课堂】(人教B版2019必修第四册)(已下线)专题02 高一下期末真题精选(2)-期末考点大串讲(人教A版2019必修第二册)