名校
1 . 已知函数
.
(1)若
的定义域为
,求
的取值范围;
(2)若
的值域为
,求
的取值范围;
(3)设
,若对任意
,函数
在区间
上的最大值与最小值的差不超过1,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d849b398ebe71b26f1430e0d5938aaac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc0e2d6debff3defb88984d2592e955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82dca4a0e082b5cbdb1beb6f4d1e2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 已知函数且
是奇函数.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cc59a9bab5b5a236895379f35c05a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4814402bdf063c91f6ad7c52b94722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fbec93189276445b83c6df4e9f4866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
3 . 已知实数x满足不等式
,则函数
最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d859f485d384ee8739b04b728fd90d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e943656b08a2bcf910e91f422c569bf7.png)
您最近一年使用:0次
4 . 已知函数
.
(1)求函数
的定义域,并根据定义证明函数
是增函数;
(2)若对任意
,关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa9dcadad1dbb86779df9ec84dc9a1b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a8d578ace45420869dda45ad3b66c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94a46e92f8f10ead211829a03349800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
5 . 已知函数
的最大值为2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26fcd26b5898f0056f558a6bd805a84d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
6 . 已知
,我们定义函数
表示不小于x的最小整数,例如:
,
.
(1)若
,求实数x的取值范围;
(2)求函数
的值域,并求满足
的实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9322dd8f56b5f8d2c667fdf0d4a9f9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7871245c73941aa9cc43ec0f82a00dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083e66f15f0a5b04c323f1e102fe497c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/650191ce718e5660ec83029419a507ff.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c4f0e587b3039889cfb2f00af8bd2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c0e0e937249bd71d711bb09fd4b2a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2024-02-28更新
|
56次组卷
|
2卷引用:河北省石家庄市辛集市2023-2024学年高一上学期期末数学试题
7 . 若函数
且
在区间
上的最大值比最小值多2,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ede877f4dfa6b0a9a4c2e749e8fc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283a3f85c9834ddb50d584e1181e8b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.4或![]() | B.4或![]() |
C.2或![]() | D.2或![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,若方程
有四个不等的实根
且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bd4ffd7e89c4e586af7d3adc74aa5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-02-21更新
|
395次组卷
|
3卷引用:安徽省阜阳市第三中学2023-2024学年高一上学期期末考试数学试题
安徽省阜阳市第三中学2023-2024学年高一上学期期末考试数学试题(已下线)5.4.2正弦、余弦函数图象的性质(第4课时)湖北省宜荆荆随恩重点高中教研协作体2023-2024学年高一下学期3月联考数学试卷B卷
名校
9 . 对任意正实数
,记函数
在
上的最小值为
,函数
在
上的最大值为
,若
,则
的所有可能值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e863ea4f1e8af63d06ad88a235a48f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a8b8044825d59a09d5ff2efdc42981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abde331dc64efa149251e74dc4124c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbca97a41af2c262e4e078a885a21a2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3e441923ed3c1a32720d6aeac2f599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f71f1db49c0863ea542fedcd3c34d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdede70fa9cb983d04f1540a67ad904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 设函数
且
.
(1)若
,解不等式
;
(2)若
在
上的最大值与最小值之差为1,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7c2b3329b1aed07e6bb17436dea5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f89cb7e17817000376139e367f4a2e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d9673a2a09feadf0172b1cfe54be7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-17更新
|
347次组卷
|
3卷引用:云南省昆明市西山区2023-2024学年高一上学期期末考试数学试卷