1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282abea3737e9f30c612f5ac0b78b600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
您最近一年使用:0次
2024-03-20更新
|
371次组卷
|
3卷引用:福建省龙岩市2023-2024学年高一上学期期末教学质量检查数学试题
名校
2 . 已知函数
的定义域为
,
、
都有
,且
,则( )
![](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/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0279543c0ee8d8e6c9b6d63968216d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-09更新
|
1252次组卷
|
3卷引用:福建省福州市2023-2024学年高一上学期期末质量检测数学试卷
解题方法
3 . 已知函数
是偶函数.
(1)求实数
的值;
(2)设函数
,若对任意
,总存在
使得
,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a586de21f07393777bb2cb4c50844ba0.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680d8f17331fc2bcfe4e09ef1890a6e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76403d7140eb0fb3942718a3f4532151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea6e1bfbda5c4f6421ed18e802aba04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bc85e19745af6992cbb72c3fd79ee7.png)
您最近一年使用:0次
4 . 美国生物学家和人口统计学家雷蒙德·皮尔提出一种能较好地描述生物生长规律的生长曲线,称为“皮尔曲线”,常用的“皮尔曲线”的函数解析式可以简化为
的形式.已知
描述的是一种植物的高度随着时间
(单位:年)变化的规律.若刚栽种时该植物的高为1米,经过一年,该植物的高为1.5米,要让该植物的高度超过2.8米,至少需要( )年.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710ca6a09c9672d8755211a4d0876b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91524b4103092643cb58fb5a0a289542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.3 | B.4 | C.5 | D.6 |
您最近一年使用:0次
解题方法
5 . 若幂函数
的图象过点
,则
的定义域是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e7d192c1c988462b773b36fe0bc169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53e28bd5b904e1b2c87a6adb610e349.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 已知函数
,若
的值域为
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365578ba776509c73562f25395af625e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3814eb9efb5ccd9969ac39bcfbd0ce05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知函数
的图象由如图所示的两段线段组成,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/0dc696b8-5f22-4104-aa0e-3a5e2fe781ca.png?resizew=165)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/0dc696b8-5f22-4104-aa0e-3a5e2fe781ca.png?resizew=165)
A.![]() |
B.不等式![]() ![]() |
C.函数![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
8 . 某工厂产生的废气经过滤后排放,过滤过程中废气的污染物含量P(单位:
)与时间t(单位:h)间的关系为
,其中
,
是正的常数.如果在前
消除了
的污染物,那么
(1)
后还剩百分之几的污染物;
(2)污染物减少
需要花多少时间(精确到
).参考数据:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eba512ba2bf601f4cb87072011e55b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ad7276e3285775e81f1ac435ce15c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bb18444912d23b98036f27f71f3abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f733b1ceeead9ff892539d46a23f3626.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2138cadb9dc2538d89a42ed6c39ff72.png)
(2)污染物减少
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1065ae0947705c7d16a5a86c78f07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b29f60fc3d32ca94740f0adf3fd0b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9378ccc57cf09c9fa0a7adc0ebb0284.png)
您最近一年使用:0次
9 . 已知
是定义在
上且不恒为零的函数,对于任意实数
,
满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284042c4d3e634870ccc30d49521dd13.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1e393134de4106280668f90d9eac88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3587ff064f9af01371279ab75d22116c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284042c4d3e634870ccc30d49521dd13.png)
您最近一年使用:0次
10 . 已知函数
,
.
(1)若函数
在
为增函数,求实数
的取值范围;
(2)当
时,
,函数
在区间
上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da77594b6176f65b59863e02c144852e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80cb910ebdc2457ef24e2b07b59af1a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1c75ed22b86d7fae5b7ca9f34eb9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9829ad49f32fb73dbde8d1d18ab3308e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a676bd44a087927c5878d0e8e9cdba13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次