1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868bf036ac8e86303ecf9da160931fff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/6/4cbe23ad-885d-49eb-ab7f-c5899bce7837.png?resizew=242)
(1)在如图所给的平面直角坐标系中画出该函数的图象;
(2)写出函数
的单调增区间及零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868bf036ac8e86303ecf9da160931fff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/6/4cbe23ad-885d-49eb-ab7f-c5899bce7837.png?resizew=242)
(1)在如图所给的平面直角坐标系中画出该函数的图象;
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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解题方法
2 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/a86fa5f6-948b-43df-ba0d-789d64b67039.png?resizew=213)
(1)在所给出的坐标系中画出
的图象;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a7b99954b553ca778cb4690f934d26.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/a86fa5f6-948b-43df-ba0d-789d64b67039.png?resizew=213)
(1)在所给出的坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ece022365a4c9d4a68e16157f3137a.png)
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3 . 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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4 . 已知函数
.
(1)求
;
(2)画出
的图象;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9131b44d53a716e20ad2c24558f093.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4b5b9edcf4c9230374512e2f506df0.png)
(2)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7790a91bcbbc414071d2ad1649fc8e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 已知
是定义在
上的奇函数,且
时,
.
(1)求函数
的解析式;
(2)画出函数
的图象并写出函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.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/7d901f52ac4d6271bdc3450017fa9789.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023高一·全国·专题练习
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6 . 作出下列函数的图象并求出其值域.
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3370ef88036a51c3a5d082d5e71e24ed.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e195522527f21205f4f52839e8c0ac.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb2510c658239b1056a2b927c2d1cdf.png)
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7 . 给定函数
.
(1)在同一坐标系中画出函数
的图像,
(2)若
表示
中的较小者,例如
.记
.
(i)请分别用图像法和解析法表示函数
,并指出函数
的单调区间,
(ii)当
时,求
的最大值和最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56f222941705a0d357c41f31a28eed1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/9/f71e5bb2-97b4-4a09-a35c-bef55fb44148.png?resizew=173)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/9/55845a90-8590-42c3-972c-a2c7f3305892.png?resizew=173)
(1)在同一坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcf98ae4aff5b41b9356ee67ad9f562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699c3bc5ed803e2fcbdffb5fde2c72a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241541a56cadaf957535d9a432a1e0e7.png)
(i)请分别用图像法和解析法表示函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
(ii)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f14273368dc6727d18fdd4580e0f641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
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2023-09-09更新
|
557次组卷
|
4卷引用:宁夏银川市宁夏育才中学2024届高三上学期月考一数学(理)试题
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解题方法
8 . 著名数学家华罗庚曾说过:“数缺形时少直观,形少数时难入微;数形结合百般好,隔离分家万事休”.在数学的学习和研究中,常常借助图象来研究函数的性质.已知函数
.
(1)在平面直角坐标系中作函数
的简图,并根据图象写出该函数的单调减区间;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/537ae5d5602bc6097459cc71549c05c2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/22/0076b6e8-a1dc-429c-832e-12248b2efd2b.png?resizew=212)
(1)在平面直角坐标系中作函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
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2023-06-19更新
|
463次组卷
|
5卷引用:宁夏银川市贺兰县景博中学2024届高三上学期第一次月考数学(文)试题
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解题方法
9 . 已知函数
.
(1)作出函数的图像;
(2)若不等式
的解集不是空集,求a的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dbcff40c8926150018d6900645698b.png)
(1)作出函数的图像;
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7c798c64bed60b0cbf9071ea550eee.png)
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2023-08-14更新
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3卷引用:宁夏吴忠市盐池中学2024届高三第一次月考试数学(理)试题
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10 . 设函数
是定义在
上的偶函数,若当
时,
,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/256e50bb-b0c7-4da0-b73d-1104e7d6a712.jpg?resizew=244)
(1)求当
时,函数
的解析式;
(2)画出函数图象,并求满足
的
的取值范围;
(3)若方程
有四个实数根,求
的取值范围.
![](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/48350c9f896c18a64f27867ca81c9be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1789d58d5303fc5ef9ee6a0dee7c76ef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/256e50bb-b0c7-4da0-b73d-1104e7d6a712.jpg?resizew=244)
(1)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b12f2ff24c52fded1dfd0f0b6940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)画出函数图象,并求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7072fcba028cb70e42a9f8a69c5e925e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2022-11-30更新
|
391次组卷
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4卷引用:宁夏贺兰县第一中学2022-2023学年高一上学期数学线上测试卷试题(2)