1 . 已知
是定义在
上的奇函数.
(1)请画出
大致图像且在图像上标注零点;
(2)已知
,若函数
在区间
上单调递增,求实数
的取值范围;
(3)若函数
,求
零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53070c08459c39f454c82b9e6336bdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)请画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4433abcf61cb7a015764b43f11fe6d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af85bade5cd0173e6825460e92da8525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
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2 . 已知函数
,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/da20f5e9-c9c8-4656-874d-9fa8b564b085.png?resizew=228)
(1)求
的值;
(2)画出函数
的图像;
(3)求函数
的单调区间,并写出函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d4a002e838b0e0f1845030affa5646.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/da20f5e9-c9c8-4656-874d-9fa8b564b085.png?resizew=228)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f9f223978994ed179e248069aab70d.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
3 . 已知函数
是定义域为
的奇函数,且当
时,
.
(1)求函数
的解析式;
(2)画出函数
的图象,根据图象写出
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80ae06edbbc77f5be59620fd7c0cf6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b92c365582b2fcb997568cd4a1b97a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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名校
4 . 已知函数
.
(1)画出函数
的图象,并指出函数的单调区间;
(2)讨论直线
与函数
图象的交点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec2549e8be0524ab071ec1c8c39fe.png)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f624f6ee968ef6c6056041fcd8f9e39.png)
(1)画出函数
的图象,并写出单调区间;
(2)求
的值;
(3)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f624f6ee968ef6c6056041fcd8f9e39.png)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc595daf93e2043b52684bbb3cbc252.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8d5184db1261ec6d48147dffa69ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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