1 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/06bf6dae-32c7-4d4c-a7f8-8083589b48d4.png?resizew=258)
(1)用分段函数的形式表示该函数,并在所给的坐标系中画出该函数的图象;
(2)写出该函数的值域、单调区间(不要求证明);
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5487f615f60ea4af926cafd404190c90.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/06bf6dae-32c7-4d4c-a7f8-8083589b48d4.png?resizew=258)
(1)用分段函数的形式表示该函数,并在所给的坐标系中画出该函数的图象;
(2)写出该函数的值域、单调区间(不要求证明);
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
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2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/68f23890-4a01-4b5a-8566-a5414cd75613.png?resizew=229)
(1)当
时,画出函数
图像,并写出单调区间;
(2)当
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/68f23890-4a01-4b5a-8566-a5414cd75613.png?resizew=229)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
3 . 已知函数
,用
表示
中的较大者,记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/a70714dc-58ff-4261-9285-cb42136be7b7.png?resizew=210)
(1)写出函数
的解析式,并画出它的图象;
(2)当
时,若函数
的最小值为
,求实数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034aa1bd7b1dcf28817724dcf9a0727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c065dc2782f5e5a662df2ea357b9c31.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/a70714dc-58ff-4261-9285-cb42136be7b7.png?resizew=210)
(1)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e0c1abf0378a7f5d79672f622b275e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a823d252e3098fca0f83e48e2d3ae9ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-11-11更新
|
386次组卷
|
3卷引用:重庆市第八中学校2022-2023学年高一上学期期中数学试题
名校
解题方法
4 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/18866591-6b8d-4d14-abc4-5d9967c2808b.png?resizew=184)
(1)画出函数的图象,并写出函数
在区间
上的值域;
(2)若函数
,求函数
在
上最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c21e7ed3e42ddf115f81be358960461.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/18866591-6b8d-4d14-abc4-5d9967c2808b.png?resizew=184)
(1)画出函数的图象,并写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56002ab09438fcb642fde70b10ee9720.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9576c16abf9969547511582d75da6ee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c18d3344a85953f2c145ff28f25bda.png)
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5 . 辆高速列车在某段路程中行驶的速率v(单位:
)与时间
(单位:
)的关系如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/2c6d2232-c192-4d32-aa91-7fd38f643db6.png?resizew=399)
(1)求梯形
的面积,并说明所求面积的实际含义;
(2)记梯形
位于直线
的左侧的图形的面积为
,求函数
的解析式,并画出其图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca55c030e7d88040525c4fb9a278f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933311c0c090e1138e4dd388b7adf8a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/2c6d2232-c192-4d32-aa91-7fd38f643db6.png?resizew=399)
(1)求梯形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
(2)记梯形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c67d2fa597fb81c8943ddfcd011227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b35d2aa8af392c852eb9b1cb1732bd.png)
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解题方法
6 . 已知函数
.
(1)画出函数
的图象,并写出
的解析式;
(2)设
,
(i)求出
的零点,并直接写出函数的单调区间;
(ii)若
有四个不同的解,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d70b987e89d64672e35aa5d013440a3.png)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73bd25eabf15b903ae6b8e32d05c1359.png)
(i)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(ii)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/349dc0db5cbfa9f554bb3620d7b756f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
您最近一年使用:0次
2022-10-20更新
|
274次组卷
|
2卷引用:北京市顺义牛栏山第一中学2020-2021学年高一上学期期中考试数学试题
名校
解题方法
7 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/d078325c-bdbf-40b5-ae80-6d5720ff874d.png?resizew=229)
(1)求
的值;
(2)若
,求a的取值范围;
(3)画出函数
的图象,若方程
有三个解,求b的取值范围(直接写出答案)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a58d9b8d31c5187ccba4ec6fd85a520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/d078325c-bdbf-40b5-ae80-6d5720ff874d.png?resizew=229)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01562259624de6721ad48ff13aafb89.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbd6362b7d43800e490dca0a256239c.png)
(3)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4225e667aeed4271244b98e820964a17.png)
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2022-10-20更新
|
981次组卷
|
6卷引用:福建省龙岩市第二中学2022-2023学年高一上学期第一次月考质量检测数学试题
名校
解题方法
8 . 已知函数
.
(1)将函数
写成分段函数的形式,并画出图象;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/db00cdce-6193-4400-92e1-6062cc7b60c5.png?resizew=178)
(2)利用图象回答:当
为何值时,方程
有一解?两解?三解?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c2837ca79dac067e0872eded379e91.png)
(1)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c2837ca79dac067e0872eded379e91.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/db00cdce-6193-4400-92e1-6062cc7b60c5.png?resizew=178)
(2)利用图象回答:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0546cf3869d3cf439a2e1ff2306608fc.png)
您最近一年使用:0次
解题方法
9 . 已知函数
(x
R).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/c8bec8fc-7a93-4210-95c4-1f569ba1d98c.png?resizew=149)
(1)判断函数
的奇偶性并证明;
(2)画出函数图象,写出函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97318442bf5a6e39887168f10acd0f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/c8bec8fc-7a93-4210-95c4-1f569ba1d98c.png?resizew=149)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)画出函数图象,写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
10 . 已知函数
是定义在
上的奇函数,且当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/4d573a25-70de-4118-94f8-e50bd48ef0d9.png?resizew=283)
(1)求函数
的解析式;
(2)在坐标系中画出函数
的图象;
(3)若函数
在区间
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/4d573a25-70de-4118-94f8-e50bd48ef0d9.png?resizew=283)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6270e38d7d6315163afc4e74d40b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-11-26更新
|
317次组卷
|
3卷引用:河南省洛阳市2021-2022学年高一上学期期中考试数学试题