名校
1 . (1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e359574da3221002403d0150b1e93c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0eb4ecc9302534d98a42a80aa9f73d7.png)
您最近一年使用:0次
2022-08-08更新
|
2012次组卷
|
4卷引用:吉林省白山市抚松县第一中学2022-2023学年高三上学期第一次模拟考试数学试题
名校
解题方法
2 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b44f60dcb4f977e35710faebcfa9f40.png)
(1)若将函数
图像向下移
后,图像经过
,求实数a,m的值.
(2)若
且
,求解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b44f60dcb4f977e35710faebcfa9f40.png)
(1)若将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9b93c942e691135e8d28e0a5baeacc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae542983d25002934093848b1120a77.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e270e5e488ded8f5eafb66f2df173692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793fe8b2007bd119d3de7889f9ebd768.png)
您最近一年使用:0次
2022-07-11更新
|
957次组卷
|
7卷引用:2022年上海高考练习数学试题
2022年上海高考练习数学试题(已下线)第21讲 导数的八种解题模型-3(已下线)专题2 2022年高考“集合、常用逻辑用语、不等式”专题解题分析(已下线)专题04 幂函数、指数函数与对数函数(模拟练)(已下线)专题07导数及其应用必考题型分类训练内蒙古包头铁路第一中学2023-2024学年高三上学期第一次月考数学(理)试题上海师范大学附属中学2024届高三上学期期中数学试题
解题方法
3 . 设
为常数,函数
.
(1)若
,求函数
的反函数
;
(2)若
,根据
的不同取值,讨论函数
的奇偶性,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801cd33240a7be0beb60faa0847a563e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9afb528423ed6c19355ca8bd8f2359.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c069a685c094ed7e5bbdf895d21d45c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
是定义域为
的奇函数.
(1)求实数
的值,并证明
在
上单调递增;
(2)已知
且
,若对于任意的
、
,都有
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a1836f99fe04969deeca4cbdc08fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0db7eb2d7545d055f1cb6e8a7b5e1dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec6f6b77b20badcccf98b1fd4479368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-06-23更新
|
1939次组卷
|
9卷引用:上海市虹口区2022届高三二模数学试题
上海市虹口区2022届高三二模数学试题河北省曲阳县第一高级中学2021-2022学年高二下学期期末模拟数学试题(已下线)第03讲 函数及其性质-2(已下线)专题02 函数的概念与性质必考题型分类训练-3上海市位育中学2023届高三下学期开学考试数学试题(已下线)2023年上海高考数学模拟卷02福建省莆田第二中学2024届高三第一次返校考试数学试题(已下线)第04讲 指数与指数函数(四大题型)(讲义)(已下线)专题11 幂指对综合大题归类
5 . 已知函数
.
(1)设
的反函数为
,求
的最值.
(2)函数
满足
,求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edb40aa0c70fcef722fdb19ff134b48.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90459228092aec6d324784babcbb2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92860378096f519a8fb276d07dbfabce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d4a1283e55b1dc8d63fa012c53af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7511e6ce72a5232820b7007f976be9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee284116732bcc5309e44ca41abdcfa.png)
您最近一年使用:0次
名校
解题方法
6 . 已知单调递增的等差数列
的前n项和为
,
成等比数列,正项等比数列
满足
.
(1)求
与
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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bfa33cf2adc265d351abf3d0a2b6c6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fd737e1c8365a208d7119754150a62.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65148c29977892100a3f9cd1b9d3164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-05-16更新
|
785次组卷
|
2卷引用:山西省运城市2022届高三下学期5月考前适应性测试数学(理)试题
名校
解题方法
7 . 已知数列
的前n项和为
,
.
(1)求数列
的通项公式;
(2)若
,则在数列
中是否存在连续的两项,使得它们与后面的某一项依原来顺序构成等差数列?若存在,请举例写出此三项;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8145da17e1d29243da1165c4093191.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6253244b3e96a9cc1203e6f6a8913c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2022-05-07更新
|
1650次组卷
|
4卷引用:湖南师范大学附属中学2022届高三下学期二模数学试题
8 . 已知公比为
的等比数列
的前
项和为
,且满足
,
,
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/6c9e32402648157e3722e88b57c1b7db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8f587e0f598608b8a881b12be42696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a36ffa78fad93ce9adb5af2fbc4d853.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6462aa007e88bb7edbf6b987c6da6930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
9 . 已知数列
的前n项和为
,且
.
(1)求数列
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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba8a0231033b138509fdd843620ae9c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d383849f5a0c655077c97e69c73a93e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-05-01更新
|
941次组卷
|
2卷引用:广东省潮州市2022届高三下学期二模数学试题
名校
解题方法
10 . 在等比数列
中
,且
成等差数列.
(1)求
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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bf63073229c4be28e2d364158b9e4e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274eb0f06c37dc24adee6bce8ca53b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2022-04-17更新
|
234次组卷
|
4卷引用:山西省晋城市2022届高三第二次模拟数学(文)试题