解题方法
1 . 函数的定义域为
,满足
,且当
时,
,若对任意的
,都有
,则
的取值范围是
您最近一年使用:0次
2024-03-24更新
|
373次组卷
|
2卷引用:湖北省荆门市2023-2024学年高一上学期1月期末学业水平检测数学试题
名校
解题方法
2 . 已知函数
分别是定义在
上的奇函数和偶函数,且
.
(1)求函数
的解析式;
(2)设
,对
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a30ada56e5e6d915338770af3fa8e67.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0920f695fe59f4762384fd7265c39f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc1e9754abc990be965887022469fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800de2463135d6a1de3096ca199cfcc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-03-06更新
|
452次组卷
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2卷引用:湖北省武汉市华中师范大学第一附属中学2023-2024学年高一上学期1月期末检测数学试题
解题方法
3 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)对于函数
,若
,
,
,
,
,
为某一三角形的三边长,则称
为“可构造三角形函数”,已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8448fbfa60e97f53e28122d84d8efa2d.png)
是“可构造三角形函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fbd668d9bee284aa0bc0b48c9114b42.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf0f2d083b8f2faa1626d1626dea127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
(2)对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f276b82d4e984675615cc27f9a764cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b9b582f8426f1269b54ee910b97f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49570402aa09e78a4b821c60e2e6881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8448fbfa60e97f53e28122d84d8efa2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
解题方法
4 . 已知函数
,函数
与
互为反函数.
(1)若函数
的值域为
,求实数
的取值范围;
(2)求证:函数
仅有1个零点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f56243e7c102bcea2755b9e5ab8455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6655e9e9bb9995d0c7e1dd02eb718d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1680e0b88a968543d32bb4ccf820e0d.png)
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2024-03-01更新
|
302次组卷
|
2卷引用:湖北省部分学校2023-2024学年高一上学期期末考试数学试题
名校
解题方法
5 . 已知函数
,
,
,
,
与
的图象共有
个不同的交点
、
、
、
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed398adf2e23a4b691c4477070416925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6e5e0b0c6d24e08772d6799ebb0167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc878ea92f396d8559210f4bd086b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6e5e0b0c6d24e08772d6799ebb0167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56720e2f2b0ddd72156da495923698da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2852ae85cfcc804b3192ea8543c88938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92abae836b8026511113ad8c3ea23028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe80f4988dab6cba196af6d9557f398.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知函数
,若关于
的方程
有4个不同的实根,则实数
可能的取值有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21570cc07a56ee1a746cd6c665b46ff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bd445a7a1553c28a5cc9130b226fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知函数
是奇函数.
(1)求
的值;
(2)证明:函数
在
上是增函数;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01825197a50b6eed481d7fae53e99e6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
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8 . 已知函数
,若关于x的方程
有四个不同的根,它们从小到大依次记为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470d0556c2f5c376984e734e4b14d960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ff8ead4cdab0a4d459eee136739d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
A.![]() | B.![]() |
C.![]() | D.函数![]() |
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解题方法
9 . 某数学兴趣小组对函数
进行研究,得出如下结论,其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0fee9aae0429c2cf50579b8e338b307.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
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名校
解题方法
10 . 已知函数
满足:对
,都有
,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0337b2d14c529ae61d4fd9a975459.png)
函数
.
(1)求实数
的值,并写出函数
在区间
的零点
无需证明
;
(2)函数
,
,是否存在实数
,使得
恒成立?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c68e603ad17bf72634d2cc6d785ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20111317cfd9de576cb594063b92acb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0337b2d14c529ae61d4fd9a975459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804c08d1b45ecee648f2f745884c0874.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788273681f22dd4f097e90c5de1821e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cee84381134d1937627d7b4eff6308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de535172010550ecee49cfcbfd752897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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