1 . 已知
,函数
为奇函数,
.
(1)求
的值;
(2)
,
,
在区间
上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde28d55a4f9fe8fe6b43344dbdc3860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc9f0517304e39719c81d724ce2b860.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8ed66a189f3f8f4924ea5359ba785b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7493c0fcdc634aa03efb6be277e23769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ee5450f2745984c487beff89dd2396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261537bcafddb50a02a76990e20ae8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 函数
.
(1)若
的定义域为R,求实数a的取值范围;
(2)当
时,若
的值域为R,求实数a的值;
(3)在(2)条件下,
为定义域为R的奇函数,且
时,
,对任意的
,解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b1dc87bea977595f94acc0870d2f2f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)在(2)条件下,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5192940067b960f8c4905cf6dddd45df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b02949bf974413a98706a0354548e8.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)当
时,解不等式
;
(2)若对于任意的
,都有
,求实数m的取值范围;
(3)在(2)的条件下,是否存在
,使
在区间[
,β]上的值域是
?若存在,求实数m的取值范围:若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd8b23d5c6fe42bf3a6fac4e113097f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8493a0cd10d3d0399173c04163740a38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbbd3ec595ed0589b9c35973d1d4592.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf0edf27c5e1b6a26d4057a7516f16a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e799e937076aa5a7dcd51cdc0f40f6b0.png)
(3)在(2)的条件下,是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e31b911b0c7c4ac5d7a71cc6e36adeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c910731c04773fd6927a6bf0bef022f.png)
您最近一年使用:0次
2023-02-03更新
|
1726次组卷
|
8卷引用:重庆市巴蜀中学校2022-2023学年高一上学期期末数学试题
名校
4 . 设函数
.
(1)证明:函数
在
上是增函数;
(2)若
是否存在常数
,使函数
在
上的值域为
,若存在,求出
的范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e28634b1106bf7698017b8c85d40a0c.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f05dd10ce64f773a0a676c5805077c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beea6fb7638645e13fe701fcf798fffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f68bca234d478ab4c052adf6193ab4.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
5 . 已知函数
的定义域为
.
(1)求实数m的值;
(2)设函数
,对函数
定义域内任意的
,
,若
,求证:
;
(3)若函数
在区间
上的值域为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf45e43b13f8a4e225065b3f151a6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda37b13914796c1f5371d3a2e258236.png)
(1)求实数m的值;
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd30eda25bfb71597e142e7477f61bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.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/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca7ea2e6eb32f17be782144460584b.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d81b313c8990ec763d4065dcac9594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac7c180289a6c53b68a3e185c1bc7e3.png)
您最近一年使用:0次
2022-12-15更新
|
495次组卷
|
2卷引用:重庆市南开中学2022-2023学年高一上学期12月月考数学试题
名校
6 . 已知
.
(1)求函数f(x)的表达式;
(2)判断函数f(x)的单调性;
(3)若
对
恒成立,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d12117652964e9c09543bec699db640.png)
(1)求函数f(x)的表达式;
(2)判断函数f(x)的单调性;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ecd09303d8a17c6cd976199ae225685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0071abcda7bd30cf7d01954d2556ac2d.png)
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2022-11-25更新
|
986次组卷
|
2卷引用:湖南省邵阳市第二中学2022-2023学年高一上学期期中数学试题
解题方法
7 . 已知函数
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
(1)判断函数
的奇偶性;
(2)判断函数
在
上的单调性,并给出证明;
(3)当
时,函数
的值域是
,求实数
与自然数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92eee18b8e48b5d2d272b6af86c12aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41e0308d7fbdecab686b8f7ee4838d0.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17882a9dfb5fcc5d566e675278785dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41e0308d7fbdecab686b8f7ee4838d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
8 . 若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb50291b32f09049325c3a5b45e89b3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-02-14更新
|
881次组卷
|
2卷引用:山西省吕梁市2022届高三上学期第一次模拟数学(理)试题
解题方法
9 . 已知函数
满足:当
时,
;当
时,
;当
时,
(
且
).若函数
的图象上关于原点对称的点至少有3对,有如下四个命题:①
的值域为R.②
为周期函数.③实数a的取值范围为
.④
在区间
上单调递减.其中所有真命题的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a79d7f73b6128650bf7aed538260c72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e24665654af772d721f2a05d4a08ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748a4376eb64e28baca83312f9fa2e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc754a5ba0302a56f65a395dd078262a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf50d1cdf4301f4c1cbdd574ef5ff47.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/4fe7d5809da02c15a43a0e9a898b9086.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/879234adbae93aa72b7e101b3738d4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3fefc0b55e0e5719c0ab45c359df21.png)
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2022-02-06更新
|
779次组卷
|
2卷引用:安徽省淮南市2022届高三上学期一模理科数学试题
10 . 已知函数
(
且
).
(1)当
时,解不等式
;
(2)是否存在实数a,使得当
时,函数
的值域为
?若存在,求实数a的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b0225dc792c1bfdbfae25e2ee973fe.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/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(2)是否存在实数a,使得当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe276c0522839b1d37086d92612aa7c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5949f390f3f59b03125814aee3d23c98.png)
您最近一年使用:0次