名校
解题方法
1 . 函数
的定义域
且
,对定义域D内任意两个实数
,
,都有
成立.
(1)求
的值并证明
为偶函数;
(2)若
时,
,解关于x的不等式
.
(3)若
时,
,且不等式
对任意实数x恒成立,求非零实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6707ac168a79a883391ad0474dd5bdca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb6b03f559451f20676eeefbc905a5e.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/aae89402bada80f4b7ee48cef6462cf0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c79b9dee1fee3370111559a06857094.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7c59219ce621e0ddb45d5f52c59103.png)
您最近一年使用:0次
2021-11-29更新
|
562次组卷
|
2卷引用:重庆实验外国语学校2021-2022学年高一上学期期中数学试题
名校
2 . 已知函数
满足:
.
(1)求
的解析式;
(2)设
,且
的最小值为3,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2d198eac24c2829a826123a1f74c46.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576c394090ef70a4e782a79e1f61e7a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
名校
解题方法
3 . 已知定义在R上的单调递增函数
是奇函数,当
时,
.
(1)求
的值及
的解析式;
(2)若
对任意
恒成立,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/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0374a48369b44b13e6cf075959ddbe0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075a3a6a5475ed5e31752ed07118e84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
(其中
且
),且
.
(1)求函数
的解析式;
(2)试判断
的奇偶性,并证明;
(3)设
,请直接写出
的单调区间(无需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4b1c894630c13c2f754cb59fe942d8.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/32d1b5c221eae7af0c935cac8bb124f5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3bf8874c864ef657754e33d3089d9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
您最近一年使用:0次
名校
5 . 定义“
函数”如下:若函数
在定义域内存在实数
满足
,则称函数
为“
函数”. 已知
是定义在
上的“
函数”,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deda68955b9ed51e63d67d37f4066e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3361f013bd6ece9ae31004928685e42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deda68955b9ed51e63d67d37f4066e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe7a1f83654015b4c324624bdbad806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deda68955b9ed51e63d67d37f4066e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
6 . 写出一个同时具有下列性质①②的函数
:________ .
①
;②当
时,
单调递减.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935799b8d9f3de0c021e2a7df70d96f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737c165baced95d7095d9f918a9cc110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
是定义在
上的奇函数,满足
,当
时,有
.
(1)求函数
的解析式;
(2)判断
的单调性,并利用定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e91676c7adfd65a76f56a0c1d4bbe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016a3a26a73e42ca5ca81c0332f7e762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c173aa8c841859aa2067c93949a948bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cea597a10fd7668e4794467b32380b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
8 . 已知定义在
上的函数
满足:
.
(1)求函数
的表达式;
(2)若函数
在区间
上最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf74b17f6dd887617247219e0dbda07.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/70a234b6331d41966be6bc9f619b5d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96044433ba50aebb10b672c599a53799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-11-09更新
|
831次组卷
|
4卷引用:重庆市田家炳中学2023-2024学年高一上学期期中数学试题
名校
9 . 设函数
,
(
),则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757f48efd9a569a73e212fa8ac37ae9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b7f77b5469a2e2265ea6655342e27d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
A.函数![]() ![]() |
B.若函数![]() ![]() |
C.若函数![]() ![]() ![]() |
D.![]() ![]() ![]() ![]() |
您最近一年使用:0次
2021-11-09更新
|
690次组卷
|
3卷引用:重庆市田家炳中学2023-2024学年高一上学期期中数学试题
名校
解题方法
10 . 已知定义在
上的函数满足
,且
为奇函数,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad69e072416bd6c6118f619a5d102964.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acb74208dcbe73fd8cbd89bf86bd69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bacb5a64d4ae725bfcce99f0496dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea438617b79dcfca03dacdf20929046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad69e072416bd6c6118f619a5d102964.png)
您最近一年使用:0次
2021-10-24更新
|
1044次组卷
|
3卷引用:重庆市育才中学校2023届高三上学期期中数学试题
重庆市育才中学校2023届高三上学期期中数学试题重庆市巴蜀中学2022届高三上学期高考适应性月考(三)数学试题(已下线)专题3.2 函数的基本性质-《聚能闯关》2021-2022学年高一数学提优闯关训练(人教A版2019必修第一册)