解题方法
1 . 已知函数
是定义在
上的奇函数,当
时,
,
的解析式;
(2)在给定的直角坐标系内画出
的图像,并指出
的减区间(不必说明理由);
(3)求
在
上的最大值和最小值(不必说明理由).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd99e9e88fd2c6e5683a1b1529f5f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)在给定的直角坐标系内画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff44fbe4843a15dd8170d2e1f7eb59e.png)
您最近一年使用:0次
解题方法
2 . 已知函数
是定义在
上的奇函数,当
时,
.
(1)求函数
的解析式;
(2)画出函数
图象.
![](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/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e5096d26e305d6921b323ca55d5f17.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8866304bfce1b1c2f562a71d5dcbde6d.png)
(1)求
的值;
(2)当方程
有且仅有三个不同的解时,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8866304bfce1b1c2f562a71d5dcbde6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
(2)当方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
4 . 已知定义在
上的奇函数
,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/cd4440be-04d3-40a2-9c19-ebfe7b00c052.png?resizew=242)
(1)求函数
在
上的解析式;
(2)在坐标系中作出函数
的图象;
(3)若关于
的方程
恰好有三个不同的解,求实数
的取值范围.
![](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/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0b5d5192ac1e8ed68841d605e4c47d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/cd4440be-04d3-40a2-9c19-ebfe7b00c052.png?resizew=242)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(2)在坐标系中作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da3023b0765cfb1b268e29e1d01de0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-20更新
|
149次组卷
|
2卷引用:江西省宜春市丰城市东煌学校2024届高三上学期期末数学试题
名校
解题方法
5 . 已知函数
是定义在R上的奇函数,且当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/11/31d79b83-4816-4ef4-b966-bb628f8dfb1a.png?resizew=194)
(1)求出当
时,
的解析式;
(2)如图,请补出函数
的完整图象,根据图象直接写出函数
的单调递减区间;
(3)结合函数图象,求当
时,函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15308be822e4af7bc4054e7aa4c50e80.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/11/31d79b83-4816-4ef4-b966-bb628f8dfb1a.png?resizew=194)
(1)求出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)如图,请补出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)结合函数图象,求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0c8c40d3b0b4d5cd85852959249dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
2023-12-12更新
|
168次组卷
|
2卷引用:北京市丰台区怡海中学2023-2024学年高一上学期期末模拟练习数学试题
名校
解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a296c144fc9626f81ae59d6dc1d6a80.png)
的图像;
(2)求
;
(3)求方程
的解集,并说明当整数
在何范围时,
.有且仅有一解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a296c144fc9626f81ae59d6dc1d6a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981db5e1425f4510580273488f6e1fd0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549f9c4a708ba21ecadd712e2df626a4.png)
(3)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b7bff9b2431134f7683a9cc4e68acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb291880ef86317d079c0e0b349403e5.png)
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2023-12-09更新
|
189次组卷
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6卷引用:云南省曲靖市马龙区第一中学2023-2024学年高一上学期期末考试数学试题
解题方法
7 . 已知
是定义在
上的奇函数,且当
时,
.
(1)求
的解析式;
(2)现已画出函数
在y轴左侧的图象,如图所示,请补出函数
的完整图象,并根据图象直接写出函数
的单调区间及值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15308be822e4af7bc4054e7aa4c50e80.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/1b3af2f2-f4b8-41a0-bf52-829417a1ee00.png?resizew=210)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)现已画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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2024-01-09更新
|
219次组卷
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2卷引用:云南省曲靖市罗平县第五中学2021-2022学年高一上学期期末考试数学试题
8 . 已知函数
,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/22/12992fca-cce8-41ed-b253-8e0a91bfc649.png?resizew=177)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/22/0b9f5e11-8c0b-4b4f-ad11-a9e470937880.png?resizew=177)
(1)在同一坐标系里画出函数
的图象;
(2)
,用
表示
中的较小者,记为
,请分别图象法和解析法表示函数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4b84895a2d00e9fff97ca2cce0604a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/22/12992fca-cce8-41ed-b253-8e0a91bfc649.png?resizew=177)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/22/0b9f5e11-8c0b-4b4f-ad11-a9e470937880.png?resizew=177)
(1)在同一坐标系里画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.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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2023-11-24更新
|
148次组卷
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3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
解题方法
9 . 已知函数
的图象关于原点对称,且当
时,
.
(1)试求
在
上的解析式;
(2)画出函数的图象,根据图象写出它的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66062dbd4978a7bb2fb9b9aabb898af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/22/22f7f8ca-cf64-4b49-9875-042a16cdf4ae.png?resizew=175)
(1)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)画出函数的图象,根据图象写出它的单调区间.
您最近一年使用:0次
10 . 已知函数
(其中
).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/85fb4bc2-a833-4bd5-b3c9-10a8395f7a51.png?resizew=152)
(1)设关于
的函数
当
时,在如图所示的坐标系中画出函数
的图象,并写出
的最小值(无需过程);
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edfb4aa532d2ac56d40897c63356044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/85fb4bc2-a833-4bd5-b3c9-10a8395f7a51.png?resizew=152)
(1)设关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0066023aeb661278637aacefcc5f323b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4955c5adc717b7f6f0b975e0724ff5.png)
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2023-02-22更新
|
142次组卷
|
2卷引用:山东省枣庄市滕州市2022-2023学年高一上学期期末数学试题