名校
解题方法
1 . 已知函数
,
.
(1)当
时,求函数
的值域;
(2)设函数
,若对任意
,存在
,使得
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e11986f2037619f9482571b2772bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae4c6625e8245ead542e6fcb66b048d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b87ee1c9b52047aa8f78de4e8c658c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aac9b408a0111a88df4fbc36dfaf054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12cb0f74068a55559864064806e9bb98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba17f85b7a7746fd6e6f5a276e453a.png)
您最近一年使用:0次
2024-03-04更新
|
340次组卷
|
2卷引用:安徽省宣城市2023-2024学年高一上学期1月期末数学试题
名校
2 . 已知函数
满足
,有
.
(1)求
的解析式;
(2)若
,函数
,且
,
,使
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7ca79164d6a6e6834425f428c2bb29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8befb6ffb9a4d955482b94ad9c7154f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4dfad781aa9407473ea3c0980e6905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab438a14d6afa5d8b4472f71d562bdd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc9bbe373e92375f4aba21b828c9439.png)
您最近一年使用:0次
2024-03-01更新
|
274次组卷
|
2卷引用:河南省三门峡市五县市2023-2024学年高一上学期1期末调研考试数学试题
名校
3 . 已知函数
为奇函数.
(1)求
的值;
(2)若
在
上恒成立,求实数
的取值范围;
(3)设
,若
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38371ea57658e033f41ddf5e51c91f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6278327c9a9968d1169ce3a125f2d3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7591504e793baf519c8b0e3ea8bfc508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e47d4c4c6d534d98138e98474804ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-02-29更新
|
1047次组卷
|
5卷引用:河南省许昌市2023-2024学年高一上学期期末教学质量检测数学试题
河南省许昌市2023-2024学年高一上学期期末教学质量检测数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)上海市金山中学2023-2024学年高一下学期3月月考数学试卷辽宁省抚顺市第一中学2024学年高一下学期尖子班4月月考数学题江西省景德镇市乐平中学2023-2024学年高一下学期4月期中考试数学试题
4 . 设
,函数
,当
时,
的值域是______ ;若
恰有一个零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93955c5a47d255c0990f336a5fc2779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,
.
(1)若
的最小值为
,求实数
的值;
(2)当
时,若
,
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37d731c58d6aae3a7feff8fdb8b94d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf95eab8ecee97f99978e83b0c8f0d19.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703c71e301b4bdaef96da0c9769adbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287e397fd53dc63328299a520281facc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cd6de7210a634d1a083ca941c741ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-02-17更新
|
701次组卷
|
5卷引用:福建省三明市2023-2024学年高一上学期期末质量检测数学试题
福建省三明市2023-2024学年高一上学期期末质量检测数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)广西南宁市第二中学2023-2024学年高一下学期开学考试数学试卷湖北省宜荆荆随恩重点高中教研协作体2023-2024学年高一下学期3月联考数学试卷B卷重庆市璧山来凤中学校2023-2024学年高一下学期3月月考数学试题
6 . 对于函数
,若定义域内存在实数
,满足
,则称
为“
函数”.
(1)已知函数
,试判断
是否为“
函数”,并说明理由;
(2)已知函数
为
上的奇函数,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a69e4906d7a0580f620212687d32b02.png)
,为其定义域上的“
函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c2487ec198b63d2edd79025d099789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00105376a993e6410625c832753dd4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e933acd90ca97b7e6ad7aeb8fc1f9182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a69e4906d7a0580f620212687d32b02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b815b11d5967df3f857a194acc9017b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
7 . 已知偶函数
和奇函数
满足
,
为自然对数的底数.
(1)从“①
;②
”两个条件中选一个合适的条件,使得函数
与
的图象在区间
上有公共点,并说明理由;
(2)若关于
的不等式
恒成立,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df412ae6aa217d7eaa8dd3b88faa9b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)从“①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b14cbee30045d5c58b67887f45daf3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc22eb4479f963546dc809865f69de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c292584260d6d1ac87a89ad5355cd1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
8 . 已知函数
,
为实数.
(1)当
时,求
的值域;
(2)设
,若对任意的
,总存在
,使得
成立,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278cbe736ddfe8c841d29cb8339a435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad1450c6a15916e2cbdba4c40ab2eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ad9ae0d505effa2fd81a62b569e78f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07444159fdea87a306d2ea12cd6f027c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba17f85b7a7746fd6e6f5a276e453a.png)
您最近一年使用:0次
9 . 布劳威尔不动点定理是拓扑学里一个非常重要的不动点定理,它得名于荷兰数学家鲁伊兹·布劳威尔,简单地讲就是对于满足一定条件的连续函数
,存在点
,使得
,那么我们称该函数为“不动点”函数,而称
为该函数的一个不动点.现新定义:若
满足
,则称
为
的次不动点.
(1)求函数
的次不动点;
(2)若函数
在
上仅有一个不动点和一个次不动点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f66a2b3d90f0d935d6c8ebaf675349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f4a89a3721dd8a4327af943f864262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9579ecce76691f7459198e8a69c0d13.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e00828f4891d233cb20a7329d2151f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8065c840ec2313396be36ed5c72c7c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-15更新
|
296次组卷
|
2卷引用:云南省大理白族自治州2023-2024学年高一上学期期末数学试题
10 . 已知函数
,其中
,且
.
(1)当
时,判断函数
零点的个数;
(2)设函数
的定义域为D,若
均为某一三角形的三边长,则称
为“可构造三角形函数”.已知函数
是“可构造三角形函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e88b4a8533780b76452f531da25d6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3c2be7482719651bcf491949681e05.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946d6f9515a3ef71fc816805ff82527d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24d37710a058eabb52fb7fe7fa22f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次