1 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defe8603ada1c2de987abfac40501a48.png)
(1)判断函数
的奇偶性
(2)作函数
的简图(在答题卡上作图,不需要写作图过程)并写出函数的单调递增区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defe8603ada1c2de987abfac40501a48.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)作函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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解题方法
2 . 已知
是定义在R上的奇函数,如图为函数
的部分图象.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/f493a2e5-623e-4846-a5f1-8f43e813483c.png?resizew=223)
(1)请你补全它的图象
(2)求
在R上的表达式;
(3)写出
在R上的单调区间(不必证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/f493a2e5-623e-4846-a5f1-8f43e813483c.png?resizew=223)
(1)请你补全它的图象
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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3 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/38a3e07b-1c8e-4231-9420-cc17420e4992.png?resizew=167)
(1)画出函数图象,并写出函数的值域;
(2)求使函数
有两个不同的零点时的n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ac01ec3306e0f5f2b80b86bee20bed.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/38a3e07b-1c8e-4231-9420-cc17420e4992.png?resizew=167)
(1)画出函数图象,并写出函数的值域;
(2)求使函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684ba4e6561428d093a1b18f1dca7ce0.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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名校
5 . 已知函数
是定义在R的奇函数,且当
时,
.
(1)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;
(2)根据图象写出函数
的单调区间及
时
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/43aabb78-9eb7-4e67-b45a-90eecab2d3b7.png?resizew=240)
(1)现已画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)根据图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981db5e1425f4510580273488f6e1fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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2024-01-11更新
|
159次组卷
|
3卷引用:宁夏青铜峡市高级中学2021-2022学年高一上学期期中考试数学试题
名校
6 . 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)
您最近一年使用:0次
2023-09-09更新
|
557次组卷
|
4卷引用:宁夏银川市景博中学2023-2024学年高一上学期期中考试数学试题
7 . 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
是定义域为
的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/a155ba40-cc4d-4dff-a093-2bb5e2d95c2c.png?resizew=196)
(1)求出函数
在
上的解析式;
(2)画出函数
的图象,并根据图象写出
的单调区间;
(3)若函数
的图象与直线
有三个交点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7b4162be068735915bfb30b315632c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/a155ba40-cc4d-4dff-a093-2bb5e2d95c2c.png?resizew=196)
(1)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af79f45b5880c72a349500da9d8e118d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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名校
8 . 分别根据下列两个实际背景
(1)求函数
的解析式;
(2)画出函数
的图象;
(3)求函数
的值域.
背景1:在国内投递外埠平信,每封信不超过
付邮资80分,超过
不超过
付邮资160分,超过
不超过
付邮资240,依此类推,每
的信应付邮资
(单位:分).
背景2:如图所示,在边长为2的正方形
的边上有一个动点
,从点
出发沿折线.
移动一周后,回到
点.设点
移动的路程为
,
的面积为
.
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
背景1:在国内投递外埠平信,每封信不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0771acf9b0116e83a098817e8cf588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0771acf9b0116e83a098817e8cf588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55c922dcbe2ca3c2557f997281fcd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55c922dcbe2ca3c2557f997281fcd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45cf1e9fd0d9a95b28098cee9b398f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de77d3c5ee5d9c7f06f332d8dd79288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
背景2:如图所示,在边长为2的正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/8/9d7392ba-079c-43f4-96fd-ca7604c8b858.png?resizew=149)
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9 . 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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10 . 已知函数
,用
表示
中的较小者,记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/1426aea1-e625-47c3-834a-d0b48c417077.png?resizew=166)
(1)在给定的坐标系中,画出函数
的图象;
(2)结合图象写出函数
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6002c3b37de6c86fce0194a74be527c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b329728a2ed137520e75fd0455c2f30c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/1426aea1-e625-47c3-834a-d0b48c417077.png?resizew=166)
(1)在给定的坐标系中,画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
(2)结合图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
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