1 . 设
,函数
.
(1)若
,判断并证明函数
的单调性;
(2)若
,函数
在区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
上的取值范围是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f8ca3916770d199f7edd59b1722a86.png)
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27b285c7ddbb366a8f1a183e2194ac1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475963eea170ff0bbdaf2f0b706dfc34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f8ca3916770d199f7edd59b1722a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06038810f4b137ab903256336b433b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8573eecbc29f522671b3892ec406c50b.png)
您最近一年使用:0次
2022-01-21更新
|
673次组卷
|
2卷引用:浙江省湖州市南浔高级中学2023-2024学年高一下学期第一次月考数学试卷
2 . 设
,
,记
.
(1)若
,
,当
时,求
的最大值;
(2)
,
,且方程
有两个不相等实根m,n,求
的取值范围
(3)若
,
,且a,b,c是三角形的三边长,求出x的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f212e63cafd79ee0a45b0bd5581b723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c588460d8c485fe7824647a80b62afd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15275cbfd60544d2ed48626cd38836d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8f4bcada6aa1a2bbbdadeca868aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ec7edc27fed74ec85f1e9c152b41a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05503cdd30e40ada3f94372cd0442066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0c9503b1a3a503d7f5a23198b52a35.png)
您最近一年使用:0次
名校
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88198bb1d2cf3ca8ddf35f2cee241574.png)
(1)当
时,求满足
的
的取值:
(2)若函数
是定义在
上的奇函数
①存在
,不等式
有解,求
的取值范围;
②若函数
满足
,若对任意
,不等式
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88198bb1d2cf3ca8ddf35f2cee241574.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc4e3775c850f1c1804f9eb7a70153a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a03076799ac16754be4ba90a917b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb38d2e1d0df8db143195177d9938d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9089c8cac6d8349cf2974bc387494e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-06-25更新
|
1175次组卷
|
5卷引用:2017届江苏南通市如东县等高三10月联考数学试卷
名校
解题方法
4 . 已知函数
,且
.
(1)解不等式
;
(2)设不等式
的解集为集合
,若对任意
,存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc01bfef9579122887181a4fa8eb43a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c012344e12698a7d964186eb9e24b380.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8740294d8fdf22bc9d2ad526a6b9acb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-06更新
|
766次组卷
|
8卷引用:河南省新高中创新联盟TOP二十名校2023-2024学年高一上学期1月调研考试数学试题
河南省新高中创新联盟TOP二十名校2023-2024学年高一上学期1月调研考试数学试题江西省上饶市广丰贞白中学2024届高三上学期1月考试数学试题(已下线)第14题 对数不等 单调优先(已下线)专题04 指数函数与对数函数4-2024年高一数学寒假作业单元合订本江西省部分学校2023-2024学年高一上学期1月期末教学质量检测数学试题安徽省阜阳市2023-2024学年高一上学期期末联考数学试卷广东省茂名市高州市第一中学2023-2024学年高一下学期开学考试数学试题辽宁省本溪市第一中学2023-2024学年高一下学期寒假验收考试数学试题
名校
解题方法
5 . 若函数
,且
,
;
(1)当
时,求不等式
的解集;
(2)已知函数
,
(i)求函数
的值域;
(ii)对于区间
上的任意三个实数
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e5ed0bc80cf27184c0eb672168cbd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13231f040ceaa51babf63f2802f1e247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bde2e500fd5386e355db9040a1946d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9652e30dad4d1ea51c10b229a10252d.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e3a9ac9d549de534cb5dcb4df4a00.png)
(i)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(ii)对于区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9f6a1fe5746a4c166b70441fb9f771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
6 . 已知
的解集是
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148d97803c3b16893ced41ad5cd9aba4.png)
A.若c满足题目要求,则有![]() |
B.![]() |
C.函数![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-02-19更新
|
673次组卷
|
3卷引用:河北省唐县第一中学2022-2023学年高二下学期3月月考数学试题
名校
7 . 已知二次函数
对
,
,且不等式
的解集为
.
(1)求
的解析式;
(2)设
,且关于
的方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad03ae14c86a74b1ccf7ad7f7c3ba441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89e69ea7a6c70ab05e8c05c2b0e07fd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692d4563154e84ce19a01e545d9f7b95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2022-01-29更新
|
756次组卷
|
3卷引用:河南省信阳高级中学2021-2022学年高一下学期第三次月考数学试题
名校
8 . 已知定义在
上的函数
满足
且
,其中
的解集为A.函数
,
,若
,
使得
,则实数a的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef55fe9534e77ee7e73dad1d625dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a158540ed7751e56e6645fab9c76e877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c9c83bac6f8f401cf9d1c206e3f5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c8960efabf939112aea9798206a595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31536741593985df07efb3b27b50266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d580f4f639394d9e9f15d43bc5e2b8d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92dcfad3e2ac8149f7e5dc77e0d12ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
(
且
),满足
.
(1)求
的解析式;
(2)若方程
有解,求
的取值范围;
(3)设
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.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/e1a45cef92c5c711549ede35c0a677ca.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482c4ce9485e6ad2df2874213a0abcc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619d49c264e484b9b8c83884ca4e0859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c1d4af7e27d29f6c40c33caa8cbf569.png)
您最近一年使用:0次
名校
10 . 已知函数
,记
的解集为
.
(1)求集合
(用区间表示);
(2)当
时,求函数
的最小值;
(3)若函数
在区间
上为增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435c302bfbc4819177fa2a064404341f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b61adc4745f283e4072ddd762f92ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc10580ae53f90dfccd9816789fd8861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8705637c89c41594ff5889e02adc17.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c9dc3741b08287f0e80f659c515dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-11-07更新
|
594次组卷
|
2卷引用:湖南省常德市临澧一中2019-2020学年高一上学期段考数学试题