23-24高一上·广东深圳·期中
名校
1 . 如图,等腰梯形
中,
,记梯形
位于直线
左侧的图形的面积为
,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/88d72044-ae0d-48ad-9a11-bf042032aa58.png?resizew=179)
(1)试求函数
的解析式
(2)画出函数
的图象.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/00fc56c2-dbaf-489f-8343-462707b50541.png?resizew=180)
(3)当
时,求
的最大值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0daa92d429edffcda2d482ee025db743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbd58a9596f66af9c26b1c8a0e9f105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/88d72044-ae0d-48ad-9a11-bf042032aa58.png?resizew=179)
(1)试求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dafff83fd807d0010d1805d9f4552e.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dafff83fd807d0010d1805d9f4552e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/00fc56c2-dbaf-489f-8343-462707b50541.png?resizew=180)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ba87639613d67f38deadfebbee4389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040e0017ac516b1e854988488b96831b.png)
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名校
解题方法
2 . 已知函数
是定义在R上的奇函数,当
时,
,
(1)求函数
的解析式,并在答题卡上作出函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
的图象 ;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/aa5fc8be-4742-4edf-a6b1-2f571e8907ec.png?resizew=180)
(2)直接写出 函数
的单调递增区间;
(3)直接写出 不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be315e528951120e7d551f654d2a1f5e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/aa5fc8be-4742-4edf-a6b1-2f571e8907ec.png?resizew=180)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
您最近一年使用:0次
2023-11-11更新
|
146次组卷
|
3卷引用:山东省泰安市泰安第一中学2023-2024学年高一上学期期中数学试题
解题方法
3 . 已知定义在
上的奇函数
,当
时,
.
(1)求函数
在
上的解析式;
(2)在坐标系中作出函数
的图象;
(3)若函数
在区间
上是单调函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f038ceb33aaaa60343d9d0e2b7b170f3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/3/438476f5-6c7d-4880-b5e6-55a378054f55.png?resizew=207)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)在坐标系中作出函数
![](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/c82dca4a0e082b5cbdb1beb6f4d1e2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
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4 . 已知函数
为定义在
上的奇函数,且
.
(1)求
的解析式;
(2)设
,
(ⅰ)画出函数
的大致图像,并求当
时
的值;
(ⅱ)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db72b5449d97f2b7a27bec1f51dcade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe286322514ef42c902f95b1d2dd838.png)
(ⅰ)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b82c43ecb40fa763214e98b86b70219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b9e53433876df2f18d3955a8e4ca2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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解题方法
5 . 已知函数
是定义在R上的偶函数,且当
时,
,现已画出函数
在y轴左侧的图象(如图所示),请根据图象解答下列问题.
(1)作出
时,函数
的图象,并写出函数
的增区间;
(2)用定义法证明函数
在
上单调递减.
(3)若函数
在区间
上具有单调性,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/10/d92e384f-155f-419a-979f-8b1ec932f027.png?resizew=222)
(1)作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)用定义法证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c82644f77c5455ceb7f94950e94273.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55503c093ffb545056ba2a313f21b25e.png)
您最近一年使用:0次
2023-11-09更新
|
313次组卷
|
2卷引用:北京市人大附中石景山学校2023-2024学年高一上学期期中统练数学试题
解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891f1431399702a067b01b805de93bd2.png)
(1)求函数
的解析式,并作出函数
的图象;
(2)设
在区间
上的最小值为
,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891f1431399702a067b01b805de93bd2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/2561de6e-b695-4b3f-bb6d-8823c716680c.png?resizew=215)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915d0107eeb846ab11f50d03308fa240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
您最近一年使用:0次
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解题方法
7 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c3f49cd371ea3ffd4133d3ae266242.png)
(1)在上图平面直角坐标系中画出函数的图像;
(2)试说明函数关于
轴对称;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c3f49cd371ea3ffd4133d3ae266242.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/7f63b7f6-9122-4a77-b64b-21f937906c29.png?resizew=200)
(1)在上图平面直角坐标系中画出函数的图像;
(2)试说明函数关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a3ad93bcf6bb17d1bc3d3625a192f7.png)
您最近一年使用:0次
解题方法
8 . 已知对
,都有
,且当
时,
.
(1)求函数
的解析式,并画出
的简图(不必列表);
(2)求
的值;
(3)求
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3dfb9993f0852e443ea196e974013d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad8ca0dc9a54c3346d495bb66740b6a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/a2c7f897-ab4c-4bb8-adbc-bcaee5e4cbe8.png?resizew=213)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea09ab225081c171f6d54afec5ffaad9.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7da221f28de0d5aa1b62e0d41cab7d9.png)
您最近一年使用:0次
名校
解题方法
9 . 若函数
的图象过点
,
且
.
(1)求函数
的解析式
(2)若
是R上的奇函数,求
的解析式并画简图.
(3)若
在
上的值域是
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34b183ea625e1a43499c4798aabb334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70dfd3b70aab0849a459a241d904aa73.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/687a6247-5e32-4947-a510-5a3efd2a4968.png?resizew=185)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7636bee43b7ad3b654136054f0c061f.png)
您最近一年使用:0次
解题方法
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c604e08a0837f160207b05dec72decaf.png)
(1)求
;
(2)若
,求
的取值范围
(3)画出
的图象,并写出函数的单调区间和值域. (直接写出结果即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c604e08a0837f160207b05dec72decaf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/26/04f311e6-4902-47de-9306-93206a178ea0.png?resizew=179)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe561b2dcc4f0f68fbca0b8cf4cecc5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8739b1c13e4375e746a1f7856abfe7df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次