名校
1 . 已知函数
.
(1)证明函数
的图象过定点;
(2)设
,且
,讨论函数
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84117b58944d6788691c2b24c070bb47.png)
(1)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71badab736269c6567a3977823e2f9b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387f999c9cba4a1a083959709371447.png)
您最近一年使用:0次
2024-02-03更新
|
384次组卷
|
4卷引用:重庆市2023-2024学年高一上学期期末数学试题
重庆市2023-2024学年高一上学期期末数学试题重庆市2023-2024学年高一上学期期末联合检测数学试卷福建省厦门市第一中学2023-2024学年高一上学期期末模拟数学试题(已下线)4.4.2对数函数的图象与性质(第3课时)
名校
解题方法
2 . 对于非空集合
,定义
,若
,
,且存在
,
,则实数
的取值范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e264e775458cecb8466fb42cb9c922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d530b0a49f8722c783fae321a78d7150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdfde2a8158e3aa5891f4abd770439e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535eea1bc13d1acf5e65d0cc87d2eb55.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
3 . 若关于
的方程
恰有三个不同的实数解
,
,
,且
,其中
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d123bc142504bdc8587d5dace0167ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98bac0dc3f94631d4163e7e4672cb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
A.![]() | B.![]() | C.1 | D.2 |
您最近一年使用:0次
23-24高一上·广东·期末
解题方法
4 . 已知二次函数
满足
,
恒成立,且
,
.
(1)求
的解析式;
(2)对任意
,总存在
,使得不等式
成立,求实数k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/8b6e94bbb8dd48348d991ccd2d69a7d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e1534b73dd957bcf8d3e44fbd0f773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbefad2221dc0e8b0b8148619918f6fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db0141dc42f0233983b9778af6ccae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa7f57ec2b9492fdf8fb0094459f2b0.png)
您最近一年使用:0次
名校
5 . 已知函数
的定义域均为
,给出下面两个定义:
①若存在唯一的
,使得
,则称
与
关于
唯一交换;
②若对任意的
,均有
,则称
与
关于
任意交换.
(1)请判断函数
与
关于
是唯一交换还是任意交换,并说明理由;
(2)设
,若存在函数
,使得
与
关于
任意交换,求b的值;
(3)在(2)的条件下,若
与
关于
唯一交换,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4978f812146b4566467ee255fc1c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
①若存在唯一的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21349867ead1c5d88dc7a618e073dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21349867ead1c5d88dc7a618e073dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)请判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0ba94c781da05ac6ca38261904b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89a5f35cd4e4764d285fce93350443b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b0e163359b6ed8f05a408790e719fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8b2248e52559f7d86566313a7c1040.png)
您最近一年使用:0次
2024-01-17更新
|
623次组卷
|
5卷引用:北京市海淀区2023-2024学年高一上学期期末考试数学试题
解题方法
6 . 已知函数
只有两个零点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1361089635c117a2c97ab063bd4313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-16更新
|
311次组卷
|
3卷引用:吉林省部分名校2023-2024学年高一上学期期末联合考试数学试题
解题方法
7 . 设函数
的定义域为
,且
满足如下性质:(i)若将
的图象向左平移2个单位,则所得的图象关于
轴对称,(ii)若将
图象上的所有点的纵坐标不变,横坐标缩短为原来的
,再向左平移
个单位,则所得的图象关于原点对称.给出下列四个结论:
①
;
②
;
③
;
④
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac239968ce1d683d8ab7da9193dc8d4.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e51098faff12b6f09b849ac94e71a6c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085c44cad2597274a93fe073d8e98985.png)
其中所有正确结论的序号是
您最近一年使用:0次
2024-01-04更新
|
616次组卷
|
3卷引用:江西省上饶市广丰区南山中学2023-2024学年高一上学期期末模拟数学试题
名校
解题方法
8 . 已知
,则方程
的实数根个数不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b66549b0f7479a07db753477952650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7c90c29fb08547022de3f3fd795aae.png)
A.5个 | B.6个 | C.7个 | D.8个 |
您最近一年使用:0次
名校
9 . 记号
表示不超过实数
的最大整数,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83774623fc43d8cfdbc3e26ae0704d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517395b0c596570766e02c043581ecb6.png)
A.4898 | B.4899 | C.4900 | D.4901 |
您最近一年使用:0次
解题方法
10 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c29480008127d451fe4e0229393c13.png)
A.![]() |
B.关于x的方程![]() ![]() |
C.函数![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次