解题方法
1 . 已知函数
.
(1)若
,
,设函数
,请求出
的值域并求证:
;
(2)若
,
,
,记
,且
是一个三角形的三条边长,请写出方程
的所有正整数解的集合;
(3)若
是一个等腰钝角三角形的三条边长且
为最长边,求证:
在
时恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5905520c2d7ba5536552341573fa37.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca27cc54ca0332245f5167488daa3408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954e74ff18fc27295263b862e7b559fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a917e05cfca420bd81408cc7a02133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e399dbac2fed2f3f99ef9cfce9b5123a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d508536d0c182db3e7f81a919793de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6996c86f28de1714e1ccd1c4f77aaa51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b93521270f25a0bcf1618b39808369f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb6f261914d5f3fdf29325d812af540.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c77befb23ddbca57b9c341f5b9412e.png)
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2 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8bd61242e64da90ad2e501c0b5d5fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f84694e86e7649bd2a8b4eb439f9c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c8dca5aaf37c077dde6eccfb5f3c4a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 设函数
,
,
,若
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef8b24e48758bbed0d8b8942f020049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ab586aefae2e8c69d0b165f7a1a8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff20e95162d66c00f30b4b35d0d4f20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-04-03更新
|
136次组卷
|
2卷引用:安徽省淮北市濉溪县临涣中学2023-2024学年高一下学期第一次月考数学试题
名校
解题方法
4 . 已知函数
.
(1)若
,求方程
的解集;
(2)当
时,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629721dcaec2afed82c62ad2a5da91fc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8b002680c476b8323c4b67e8bc999e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad814089e37543b2f547af9ae75b6dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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5 . (1)已知函数
,若对
,使得
,求实数
的取值范围;
(2)若命题
:函数
(
且
)在区间
内单调递增是真命题,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a77356a1d9399c3a7cd746daee7fae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4dc98c9e5c0d34abd404256ddd9534e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8353fee2c05c64a46ea5003e2f05173.png)
![](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/f28491f7ef64389d62b0e1574ab56429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
6 . 若
,b=1.2,c=ln3.2,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afb3b7c270f874d370fe459c45a9735.png)
A.a>b>c | B.c>b>a | C.a>c>b | D.b>a>>c |
您最近一年使用:0次
名校
7 . 已知
,
,
(其中
是自然对数的底数),则下列大小关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9681895b72a6ec94d1239358c470341b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7e2dff6f0b80dedaddc4c69ee0c61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69daedf299c14cfceb21796ffa4dc899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef01714fdc458239c0f1a93f506ebd6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-04更新
|
836次组卷
|
5卷引用:安徽省示范高中皖北协作区2023届高三下学期3月联考(第25届)数学试题
安徽省示范高中皖北协作区2023届高三下学期3月联考(第25届)数学试题吉林省长春市第二中学2023-2024学年高二下学期第一学程考试(4月)数学试题江西省景德镇一中2022-2023学年高二(19班)下学期期中考试数学试题(已下线)专题03 一网打尽指对幂等函数值比较大小问题 (练习)(已下线)技巧01 单选题和多选题的答题技巧(10大题型)(练习)
名校
8 . 已知二次函数
满足
,且
.
(1)求
的解析式;
(2)已知
,讨论
在
上的最小值;
(3)若当
时,不等式
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1411816d68d852519d5828af2c8f47a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46305fedfb17a208a8b4cab7ebceddfc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0442422375b46ed9da57921893797f2a.png)
(3)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124504265c5704ab61eb65ec90ace209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15390c63bab9c1976d62eb066d8b2fc8.png)
您最近一年使用:0次
名校
9 . 已知函数
,
(
,且
).
(1)
,
,求实数a的取值范围;
(2)设
,在(1)的条件下,是否存在
,使
在区间
上的值域是
?若存在,求实数a的取值范围;若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb52a65b6c7a4de7ac077d1d9c212a33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f1fd6a18ffe6f32f35566c3815d6e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1413e3627a6c4e7618bff05cfc0c65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12bbdf2db8eb993309b0c625858f4fcd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc50f609440a36953561a88e8acfee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227750cb0024769dcdfc86c77344c973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31e72421c0d65e00edb2acce12abffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3cc84b95b48983c43b447f9fdc43bb.png)
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2022-10-08更新
|
476次组卷
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3卷引用:安徽省合肥市第六中学2022-2023学年高一上学期学科素养第二次阶段测评数学试题
名校
10 . 已知a∈R,函数
.
(1)当
时,解不等式
;
(2)若关于
的方程
的解集中恰有两个元素,求
的取值范围;
(3)设
,若对任意
,
,函数
在区间
,
上的最大值与最小值的和不大于
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9117374b908d07d6f8e277b0856e70.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e799e937076aa5a7dcd51cdc0f40f6b0.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c16bfc9f4f4f26fb63843c921959c601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21ab73de48a9331d30f360d428b39a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dbf1fe017d40404855fe73d4f18261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315c3847a399c800b56264a5ebb6ad8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab742c02202bb56e34f84d2f04d9f056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9bf7f9244224fd181cbc0594de34f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-30更新
|
361次组卷
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11卷引用:安徽省合肥市肥东县综合高中2022-2023学年高三上学期10月月考数学试题
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