名校
1 . 已知函数
是定义在
上的奇函数,且当
时,
.
![](https://img.xkw.com/dksih/QBM/2019/12/9/2351446047604736/2355157825388544/STEM/b815eba615e140388f5145a4f373b7df.png?resizew=329)
(1)求函数
的解析式;
(2)现已画出函数
在
轴左侧的图象,如图所示,请补全函数
的图象;
(3)根据(2)中画出的函数图象,直接写出函数
的单调减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/2019/12/9/2351446047604736/2355157825388544/STEM/b815eba615e140388f5145a4f373b7df.png?resizew=329)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7f04a0d543ab3f626b6fff5d2305f7.png)
(2)现已画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)根据(2)中画出的函数图象,直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
2 . 已知函数
是定义在
上的奇函数,且当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/18/ef1a9549-4a09-4bbb-b65a-379ad8c5830f.png?resizew=228)
(1)求函数
的解析式;
(2)现已画出函数
在
轴左侧的图象,如图所示,请补全完整函数
的图象;
(3)根据(2)中画出的函数图像,直接写出函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/18/ef1a9549-4a09-4bbb-b65a-379ad8c5830f.png?resizew=228)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803b2de32177f5ebb64b38115356f388.png)
(2)现已画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)根据(2)中画出的函数图像,直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2017-11-25更新
|
648次组卷
|
7卷引用:重庆市永川北山中学校2022-2023学年高一上学期期中数学试题
名校
解题方法
3 . 已知定义在
上的函数
,满足
,且
,
,当
时,
(
为常数),关于
的方程
(
且
)有且只有
个不同的根,则能推出下列正确的是___________ (请填写正确的编号).
①函数
的周期![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825eb57ef8a7f2021fa1859a914c4e9.png)
②
在
单调递减
③
的图象关于直线
对称
④实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae2faafba63c4eb7f4fb2be03f51990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe9f3099ed9429dc5b4e38a350e524a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520fc12add3dd8b795ce092d2ba279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e80db7f2d705016809640d5c30dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487763fb046ceaeda3d0cf5ac1072bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585f3218f0995587263adaa5852fb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39d5e02c73285b9ac42d3caa3967f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825eb57ef8a7f2021fa1859a914c4e9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
④实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ebfa9cd052040a7bf05927ff53d075.png)
您最近一年使用:0次
2021-10-24更新
|
670次组卷
|
2卷引用:重庆市万州第二高级中学2022-2023学年高二上学期期末数学试题
名校
4 . 将初始温度为
的物体放在室温恒定为
的实验室里,现等时间间隔测量物体温度,将第
次测量得到的物体温度记为
,已知
.已知物体温度的变化与实验室和物体温度差成正比(比例系数为
).给出以下几个模型,那么能够描述这些测量数据的一个合理模型为__________ :(填写模型对应的序号)
①
;②
;③
.
在上述模型下,设物体温度从
升到
所需时间为
,从
上升到
所需时间为
,从
上升到
所需时间为
,那么
与
的大小关系是________ (用“
”,“
”或“
”号填空)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753eef04e0f8fa2f986cde182c6e0a11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7fda751813a197463eafc50c8be5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9297e289a9ef977009186083ec738ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea374681dd13a3faca4a6aa9cc07cc8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a3019bfc89157cd5d3fc3d5f242e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd2aa02e4912ad41b439b150325da54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b47d87eddd17df99c4de2bd043c00a.png)
在上述模型下,设物体温度从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573a6abe18ca58ca6f5804b8770df848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e554c28242b6cbd70c3f6974f5294e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155c51cbd30e9611dd58f882e4b75c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e554c28242b6cbd70c3f6974f5294e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699848e29465963154204980727c0909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1ebc92a0010b4914d5ea0d7878394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699848e29465963154204980727c0909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8686975dd5327f7db255156a3eaa52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83763564cdefe596fc31d487d10033e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ecc3aaae2aa289591a3b632f1e0645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cdb9d30684cce244bef94b8d861b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
您最近一年使用:0次
2020-01-10更新
|
454次组卷
|
5卷引用:重庆市第二外国语学校2021届高三上学期第四次质量检测数学试题
重庆市第二外国语学校2021届高三上学期第四次质量检测数学试题北京市东城区2019-2020学年高三上学期期末数学试题(已下线)专题7.1 不等式的解法-备战2021年高考数学精选考点专项突破题集(新高考地区)北京市中关村中学2020届高三数学统练试题(已下线)第八章 函数应用(单元重点综合测试)-速记·巧练(苏教版2019必修第一册)
2014高三·全国·专题练习
名校
5 . 设f(x)=x3+log2
,则不等式f(m)+f(m2-2)≥0(m∈R)成立的充要条件是________ .(注:填写m的取值范围)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ddfd0cad6b5f2cc9310f170f3ddae61.png)
您最近一年使用:0次
名校
6 . 函数
,其中
为常数,
有
这5个不同的实数解,并且有
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/070c94df-7839-4210-8cfa-fc6aa2f54f40.png?resizew=180)
(1)在坐标系中画出函数
的图象,并求
的取值范围(用
表示);
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c2ec14fe30c6b37be49ff7e1a5a9e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195f9cb9c1ca84756dd98afdc784ead9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4acd5e05f89802149b8b810c24d6ac73.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/070c94df-7839-4210-8cfa-fc6aa2f54f40.png?resizew=180)
(1)在坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06cee0376e2e795f9ab3740e1304781c.png)
您最近一年使用:0次
名校
7 . 已知函数
.
(1)在平面直角坐标系中画出 函数
的;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/11/014fbcb3-f304-4101-869e-65e66c3a1e38.png?resizew=177)
(2)根据函数
的指出 其单调递增区间和最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb32f43e3b1964134154bce4c4e8aca.png)
(1)在平面直角坐标系中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/11/014fbcb3-f304-4101-869e-65e66c3a1e38.png?resizew=177)
(2)根据函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/caf4e040-c408-42a7-b3e8-144d109b4a90.png?resizew=194)
(1)判断函数的奇偶性,并利用定义证明;
(2)判断函数
单调性(不需要证明),并画出
的图像.
(3)若不等式
在区间
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c47b2d73a4858fe5a169a0964c7e878e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/caf4e040-c408-42a7-b3e8-144d109b4a90.png?resizew=194)
(1)判断函数的奇偶性,并利用定义证明;
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bed605a16f9afd9b63861e02056a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f0a7f52eb82472cce50381cbed1c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/8/cab90494-2e7e-4c2c-9fc4-2331a2b36533.png?resizew=176)
(1)将函数
写成分段函数的形式并画出其图像;
(2)写出函数
的单调递增区间和值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2be0da213577a610ed572f88725f1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/8/cab90494-2e7e-4c2c-9fc4-2331a2b36533.png?resizew=176)
(1)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-02-01更新
|
192次组卷
|
2卷引用:重庆市缙云教育联盟2023-2024学年高一上学期11月月考数学试题
解题方法
10 . 如图,正方形
是边长为4,动点
以每秒1个单位长度的速度从点
出发,沿折线
运动,动点
以每秒1个单位长度的速度同时从点
出发,沿折线
运动,当两者相遇时停止运动.设运动时间为
秒,
的面积为
.
(1)请直接写出
关于
的函数表达式并注明自变量
的取值范围;
(2)在给定的平面直角坐标系中画出这个函数的图象,并写出该函数的一条性质;
(3)结合函数图象,直接写出
的面积为6时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3087da5c11909dab613378fee8d471fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccfc06739ab01294379f26e1c8124a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/17/aeb6f124-b3da-415b-b233-e01c4546c47c.png?resizew=354)
(1)请直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在给定的平面直角坐标系中画出这个函数的图象,并写出该函数的一条性质;
(3)结合函数图象,直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次