解题方法
1 . 已知函数
是定义在
上的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/7fbcf997-9b49-4250-ae7b-99d2a3a4f77c.png?resizew=171)
(1)求函数
的解析式,并画出
的图象;(作图要求先用铅笔作出图象,再用黑色签字笔将图象描黑);
(2)根据图象写出函数
的单调区间(不用证明).
![](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/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ed92f58d44ee590c425bc741195c1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/7fbcf997-9b49-4250-ae7b-99d2a3a4f77c.png?resizew=171)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)根据图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
2 . 给定函数
,
,
.用
表示
,
中的较大者,即
.
(1)请写出函数
的函数解析式,
(2)画出函数
在
上的图象,并写出函数
的单调区间(不用证明)和值域;
(3)若
,则求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7343e8f9118952329c5c1072caa9b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c4473159277aed64ea96c4af087954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.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/0d08113f348ee3409e25687093914af2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/8de33e76-504c-49d8-9fb1-22cda317882b.png?resizew=170)
(1)请写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6abc791ee78b985fe878f99514c05c9.png)
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解题方法
3 . 已知函数
,
.定义:
,定义在
上的函数
.
(1)求函数
的解析式;
(2)直接写出
的单调区间,并选择
的一个单调区间根据定义进行证明.(注:若选择多个单调区间分别证明,则按第一个证明计分.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6201963fcdd54887f2af50518bd908a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba0154a5c65b0b304c7e4df2e738f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478e75f2162f25b93d4c337e2829fc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce0595b82f3b79012f411c11c050ace.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
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4 . 已知函数
.
(1)
的值;
(2)记
,画出函数
的图象,写出其单调递减区间(无需证明);
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b521a45a710210b7c631f069b4851f9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/11/5c434d28-ac64-4307-8e0c-ceabd0807536.png?resizew=173)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2744646ce1af08aa62b4f66479d87d1.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f949b9a15ad3cdb3511fdb803c707bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
您最近一年使用:0次
解题方法
5 . 已知函数
,
.
(1)求
;
(2)画出函数
的图象;
(3)写出函数
的单调区间和值域(无需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7b9ef1fee1220682f7c6ee64879147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb6419c478b6a227e3f5efd67e52fe8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc83f94678b595d52018a088823e64f7.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c34696f0e3d6ce9d23a6ca9a786d27.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/f85b2971-c17b-48c8-a6eb-485357ff5533.png?resizew=142)
(1)用分段函数的形式表示该函数;
(2)在上边所给的坐标系中画出该函数的图象;
(3)写出该函数的值域及因变量随自变量变化趋势(不要求证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c34696f0e3d6ce9d23a6ca9a786d27.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/f85b2971-c17b-48c8-a6eb-485357ff5533.png?resizew=142)
(1)用分段函数的形式表示该函数;
(2)在上边所给的坐标系中画出该函数的图象;
(3)写出该函数的值域及因变量随自变量变化趋势(不要求证明).
您最近一年使用:0次
7 . 已知函数
.
(1)求
、
的值;
(2)画出函数
的图象,并指出它的单调区间(不需证明);
(3)当
时,求函数的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b583537197a1e97b74e4e42c0d31e7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08bab9ee0074ae3e3c0a6c6fb328da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3627e4ccde7d69c49034a4a2d10bee5.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3100b4334006cfb90266d783f4798a0.png)
您最近一年使用:0次
2023-08-12更新
|
563次组卷
|
3卷引用:贵州省黔东南州丹寨泓文实验学校2022-2023学年高一下学期第一次月考数学试题
贵州省黔东南州丹寨泓文实验学校2022-2023学年高一下学期第一次月考数学试题福建省莆田第二十五中学2023-2024学年高一上学期期中考试数学试题(已下线)第02讲 3.2函数的基本性质+3.3幂函数(1) -【练透核心考点】
名校
解题方法
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8165ea9ea2f615b172a6b2f6fa7d615.png)
(1)判断
的奇偶性并证明;
(2)用分段函数的形式表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8165ea9ea2f615b172a6b2f6fa7d615.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用分段函数的形式表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
9 . 给定函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe68fb3cddf2129dd5fef87d261a94a.png)
(1)判断
的单调性并证明
(2)在同一坐标系中画出
的图像
(3)任意的
,用
表示
的较小者,记为
,请写出
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe68fb3cddf2129dd5fef87d261a94a.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在同一坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
(3)任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f169611259ea1cc39fd5894d46a4ba81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
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10 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/882cd70e-41a3-4411-b912-ba36adc0e946.png?resizew=208)
(1)求
;
(2)若
,求
的值;
(3)若函数
的图象与直线
有三个交点,请画出函数
的图象并写出实数
的取值范围(不需要证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f3bf39c3a0cd87de6adfa5a202d396.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/882cd70e-41a3-4411-b912-ba36adc0e946.png?resizew=208)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754386f1d84e582d52d8219080a81528.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e9089e21e10f127e970d8e42e55244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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