名校
解题方法
1 . 养正高中某同学研究函数
,得到如下结论,其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97d44c9fbbc4f7810ba9525fb5d0f577.png)
A.函数![]() ![]() ![]() |
B.对于任意的![]() ![]() |
C.对于任意的![]() ![]() |
D.对于函数![]() ![]() ![]() |
您最近一年使用:0次
2 . 已知函数
,其中
.
(1)若
恒成立,求
;
(2)若
,试比较
与
的大小,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f95de658236c8143de885348e87a334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89149d1965798a2171cf764ff0f7224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8700191bf12450d73b81d2a8225126c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af27b404720df2892c3d7727009f3e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f8315c1135b8bd5aa8d12a4fd6d459.png)
您最近一年使用:0次
名校
3 . 如图,对于任意正数
,
.记曲线
与直线
,
,
所围成的曲边梯形面积为
,并约定
和
.已知
,则以下命题正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/59271dc9-b77a-4419-a581-9d323ca9f20e.png?resizew=158)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad481cbfb67ac9cdbc0537f3de23b022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494395ab30d7e159a9d73b90d9a46240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb8cebe14b925350914f6b57c83ff4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751d7448fe3c548d987545b56f8dd579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb54d63b5fd99ea6e1ca1565dfeb7171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71fff4342bc3f0f22b122bd4c17589f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2161aed27bd93f8667fce0c7bd475c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b64631b09e3ac842b871c917742978e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/59271dc9-b77a-4419-a581-9d323ca9f20e.png?resizew=158)
A.![]() |
B.![]() |
C.对任意正数k和![]() ![]() |
D.对任意正数k和![]() ![]() |
您最近一年使用:0次
2023高一上·全国·专题练习
解题方法
4 . 如图是对数函数的图象,已知a的值取
,
,
,
,则相应于
的a的值依次是
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/29/b890d9b4-1823-4356-bb8e-36ed78709433.png?resizew=161)
您最近一年使用:0次
解题方法
5 . 已知定义在区间
的函数
图象关于
轴对称,且当
时,
.
(1)求函数
的解析式;
(2)若函数
有两个不同的零点
、
,证明不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04614d0fac9cde995374a43d4323b723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed1d8801fe7954ea2afc6fb1123e070.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a13d431118fccb150d02338122ac73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d4dbad1e1d10071bc0ee7cf178ae24.png)
您最近一年使用:0次
名校
6 . 已知函数
,且正实数
满足
,则下列结论可能成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed16b135f0ba4cc19b69dac19b4765df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10484e8b98d515bac1e75f637c573d3.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
名校
7 . 大多数居民在住宅区都会注意噪音问题.记
为实际声压,通常我们用声压级
(单位:分贝)来定义声音的强弱,声压级
与声压
存在近似函数关系:
,其中
为常数,且常数
为听觉下限阈值.若在某栋居民楼内,测得甲穿硬底鞋走路的声压
为穿软底鞋走路的声压
的
倍,且穿硬底鞋走路的声压级为
分贝,恰为穿软底鞋走路的声压级
的
倍.若住宅区夜间声压级超过
分贝即扰民,该住宅区夜间不扰民情况下的声压为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6d1a2a6340864352cd68261b26c682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6d1a2a6340864352cd68261b26c682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4011d7e555aeb6bf3c82bb665b4b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ebfe5c12d1b3e8ae3b2ed30067f8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40569c1f7342a6e3bccb41975b3351f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1b0cd10ebed92445e4390d45144a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a886d45a46bdde67115c5911cb85ea6.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-12-22更新
|
1105次组卷
|
6卷引用:辽宁省辽阳市2023-2024学年高一上学期1月期末考试数学试题
名校
8 . 已知函数:
,
.
(1)若
过定点
,求
的单调递增区间;
(2)若
值域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7bc26200718bcea5283cd6fe66e633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-21更新
|
707次组卷
|
5卷引用:江西省信丰中学2023-2024学年高一上学期第四次月考数学试卷
江西省信丰中学2023-2024学年高一上学期第四次月考数学试卷(已下线)期末预测卷3-题型秒杀技巧及专项练习(人教A版2019必修第一册)甘肃省武威市第七中学2023-2024学年高一上学期期末数学试题(已下线)专题04 指数函数与对数函数3-2024年高一数学寒假作业单元合订本江西省部分学校2023-2024学年高一下学期3月月考数学试题
解题方法
9 . 已知函数
.
(1)当
时,解不等式:
;
(2)若函数
在
上的最大值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc391884cb2d4e69c318015ed1cc5724.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413512753891998934e9b40e7d62c715.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800bbcc16cd9823d741930abd146584a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
10 . 对于函数
.
(1)若方程
恰有一个实根,求实数a的取值范围;
(2)设
,若对任意
,当
时,满足
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11be7eddb9524892c60b99356c5ce555.png)
(1)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a852eb3b8feb1dc29a34318d678af1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac3bf8d695b528cb2f81ca18575bb05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f46d2ca347857b6a55e1aceafb47d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5049dfb734d7776ea05f8cf09b28a9.png)
您最近一年使用:0次
2023-12-18更新
|
423次组卷
|
2卷引用:江苏省扬州市扬州中学2023-2024学年高一上学期12月月考数学试题