解题方法
1 . 设
是偶函数,且
时,
,求:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/15/90e7b2d4-0346-459a-8963-9fceba1beeb7.png?resizew=148)
(1)
的解析式;
(2)画出
的图象,并由图直接写出它的单调区间和值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffa2b2fa52272ca3b60a319f6d632d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/15/90e7b2d4-0346-459a-8963-9fceba1beeb7.png?resizew=148)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2 . 设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/fbc49cbe-3e57-4dcc-99d4-58112f81b0a0.png?resizew=194)
(1)将函数
写成分段函数的形式,画出其图象;写出函数
的单调递减区间和值域;
(2)若
,求x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e59410318f0dc2e5530b27cd28ddf68.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/fbc49cbe-3e57-4dcc-99d4-58112f81b0a0.png?resizew=194)
(1)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
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3 . 已知函数
.
(1)用分段函数的形式表示该函数并画出该函数的图象;
(2)写出此函数的单调区间(不需要写过程).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4475c74b364c8029b23679253e72a68a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/71aeafe0-a108-4522-9646-7ea5e746f219.png?resizew=185)
(1)用分段函数的形式表示该函数并画出该函数的图象;
(2)写出此函数的单调区间(不需要写过程).
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解题方法
4 . 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)
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5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac26961bab48a9301f307274649e4981.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/2898253d-4de8-44c0-a716-1407a4e58e6f.png?resizew=213)
(1)求
的值;
(2)若
,求
的值;
(3)请在给定的坐标系中画出此函数的图象(画到答题卡上的坐标系中),并根据图象写出函数
的值域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac26961bab48a9301f307274649e4981.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/2898253d-4de8-44c0-a716-1407a4e58e6f.png?resizew=213)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4474bd87c00ac3ee99ab366527ded109.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04042cd29185f7f48399495d7df371e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)请在给定的坐标系中画出此函数的图象(画到答题卡上的坐标系中),并根据图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
6 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/7c47aec2-8781-4f6d-8228-392de212f77c.png?resizew=141)
(1)已知
,求a的值;
(2)作出函数的简图;
(3)由简图指出函数的值域;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598ff8437bad090879fc7ee84ea37b29.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/7c47aec2-8781-4f6d-8228-392de212f77c.png?resizew=141)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7a129587e063a30e6d6449637f2b19.png)
(2)作出函数的简图;
(3)由简图指出函数的值域;
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解题方法
7 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/3eff1862-b012-44bb-b250-be745f2c8f71.png?resizew=197)
(1)求
的值;
(2)画出函数
的图象,根据图象写出函数
的单调区间;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9e4821ad1bf3985b9f4e8a88529943.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/3eff1862-b012-44bb-b250-be745f2c8f71.png?resizew=197)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7315d535566d5942798ae11127ced7.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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解题方法
8 . 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)
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2023-12-12更新
|
169次组卷
|
2卷引用:广东省佛山市第一中学2023-2024学年高一上学期第二次教学质量检测(12月)数学试题
名校
解题方法
9 . 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
|
190次组卷
|
6卷引用:黑龙江省齐齐哈尔市克东县第一中学2023-2024学年高一上学期12月月考数学试卷
10 . 已知
为定义在区间
上的偶函数,当
时,
.
(1)当
时,求函数
的解析式;
(2)在给出的坐标系中画出函数
的图象,写出函数
的单调区间,并指出单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8193516c2f7f0263874d6d75ff1f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264e54b81230f39733dcc4f39cf31c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3955b3a53ee9bc34ed2221a4885a2175.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b2e0d0ca28f794bf8745d213e30c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)在给出的坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/8/98301a46-3347-4d12-be59-acb4b4a592a0.png?resizew=210)
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