名校
1 . 已知函数
.
(1)若直线
与函数
的图象有且仅有4个交点,求实数
的取值范围;
(2)求函数
在区间
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e8114098c4a57deda4ec7d6d5a3aff.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431a9833f292cec2b85ebe93a3ced3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ec9d0f2e9d84337d0a5b7f90b9d184.png)
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名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6db4d7722b60ed3300d38b9d94c0e3d.png)
(1)判断
的奇偶性;
(2)判断函数
的单调性,并用定义证明;
(3)若不等式
在区间
上有解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6db4d7722b60ed3300d38b9d94c0e3d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4bf35801b9ac27d2427eb468db9308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca5e984d5e14b4be18a5ee99f80a4f.png)
您最近一年使用:0次
2024-03-07更新
|
512次组卷
|
2卷引用:云南省昭通市一中教研联盟2023-2024学年高一上学期期末质量检测数学试题(A卷)
名校
解题方法
3 . 已知定义在
上的奇函数
,对
,
,且当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafc9c269cc442e1c29a5a2873996772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41bcbc822bae29210d078d1a1101462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf71a3c73c1d82ae821018a7f67c0.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.不等式![]() ![]() |
您最近一年使用:0次
2024-03-01更新
|
230次组卷
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2卷引用:云南省红河哈尼族彝族自治州蒙自市第一高级中学2023-2024学年高一下学期3月月考数学试题
名校
4 . 已知函数
的定义域为R,对任意实数
,
满足
,且
,当
时,
.给出以下结论:①
;②
;③
为R上的减函数;④
为奇函数. 其中正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657221948689bc58b72ec871eb1ea1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f451fefd1e370de85a57d30d76fac6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a039b83b7784132b820a32c9894a2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac65ef4b5cdd7370c09f20ec9e59f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c432487864c0f12100e46f20f7f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b2e8e9a0d7febf73fc557adf3f7806.png)
A.①②④ | B.①② | C.①③ | D.①④ |
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名校
解题方法
5 . 已知函数
为奇函数.
(1)求
,判断
的单调性,并用定义证明;
(2)若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ca09548bb2ade976e4db708ff209c4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2a56a3dbc9d402e33f172d90694b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-02-18更新
|
346次组卷
|
4卷引用:云南省红河哈尼族彝族自治州蒙自市第一高级中学2023-2024学年高一下学期3月月考数学试题
6 . 函数
.
(1)求
和
的值,判断
的单调性并用定义加以证明;
(2)设
是函数
的一个零点,当
时,
,求整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aff5cf0dcc110cf6e02bbe27667e4bf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b530377e3fe56b7988935dd73d9dccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665696c68051b2a8881f767d10f80fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2ea3741c5ced38436180d4ba8e2256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
7 . 已知奇函数.
(1)求
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用定义法证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a669b7345ccfe4cfbe6de2765f1fd74.png)
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解题方法
8 . 对于函数
.
(1)探索函数
的单调性并用定义证明;
(2)是否存在实数a使函数
为奇函数?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bba495106dbf0d5283cf1704a126535.png)
(1)探索函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在实数a使函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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9 . 已知函数
为奇函数,
.
(1)求
的值;
(2)若
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbdc6a9cbaa7e63503f2fe83c64874a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4715c15c1becd52590cb8412e94f0d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6325af3dc7c87eaaf3f14df9d400b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1173f0e3d91aca072092122f039f66cb.png)
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解题方法
10 . 定义域为
的奇函数
只能同时满足下列的两个条件:
①
在区间
上单调递增 ②
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b6c58f9bcbbcf99ba037e3bd4497a.png)
(1)请写出这两个条件的序号,并求
的解析式;
(2)判断
在区间
的单调性,并用定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c0122f73d46e088836e3e8e90133c5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe20dc0f6fd4e876ad7b1219479ee186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b6c58f9bcbbcf99ba037e3bd4497a.png)
(1)请写出这两个条件的序号,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
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2024-01-27更新
|
104次组卷
|
2卷引用:云南省保山市腾冲市第八中学2023-2024学年高一下学期开学考试数学试题