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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2 . 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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3 . 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
解题方法
4 . 已知函数
.
(1)作出函数
的图象;
(2)解不等式|
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c28cb74d42955d16c93a9648a4de552.png)
(1)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)解不等式|
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/763ef190303947711154056f1445cfbc.png)
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5 . 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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解题方法
6 . 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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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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8 . 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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9 . 已知定义在
上的奇函数
,当
时,
.
(1)求函数
在
上的解析式;
(2)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/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/2023/11/16/b57c0d36-c3f0-4c3b-ab02-bd587f5188bb.png?resizew=239)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)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/c9e0ad2454500b606037e27dfb5d625d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-10-26更新
|
207次组卷
|
11卷引用:宁夏银川一中2020-2021学年高一上学期期中考试数学试题
宁夏银川一中2020-2021学年高一上学期期中考试数学试题河北安平中学2018-2019学年高三下学期期末考试数学(文)试题甘肃省张掖市第二中学2019-2020学年高一上学期10月月考数学试题甘肃省天水市秦州区第一中学2020-2021学年高一上学期第五次月考数学试题甘肃省武威第六中学2020-2021学年高一上学期第二次段考数学试题黑龙江省哈尔滨市德强学校2021-2022学年高一上学期期中考试数学试题福建省福州市连江尚德中学等六校2021-2022学年高一上学期期中考数学试题山东省菏泽市2021-2022学年高一上学期期中数学试题广东省汕头经济特区林百欣中学2022-2023学年高一上学期期中数学试题(已下线)第三章 函数的概念与性质(压轴必刷30题6种题型专项训练)-【满分全攻略】(人教A版2019必修第一册)云南省曲靖市宣威市第六中学2023-2024学年高一上学期12月月考数学试题
10 . 已知
,函数
.
(1)当
时,画出
的图象,并写出其单调增区间;
(2)设
,函数
在
既有最大值又有最小值,分别求出实数m,n的取值范围(用a表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca6c00903b9dd306287ba3bb91035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/1/9fe393c7-3afa-422a-848b-f6aa9faf9328.png?resizew=126)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
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