名校
解题方法
1 . 如图,设Ox,Oy是平面内相交成
角的两条数轴,
,
分别是x轴与y轴方向同向的单位向量,若向量
,则把有序数对
叫做向量在斜坐标系xOy中的坐标,记为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4224bf1cbcd51f4cbdce93d981d65c5a.png)
,求
;
(2)在斜坐标系xOy中的坐标,已知
,
,
,求
的最大值及此时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5253a9a71037d60059b60237824193b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9aa1d34d66a6876aa0566c8fc8b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4224bf1cbcd51f4cbdce93d981d65c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087fa245e52bb7e2bf59f79fe45741ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6e7fa9384531ef24312fda723007c1.png)
(2)在斜坐标系xOy中的坐标,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29530412521857bc075252387a4a1d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88cd18ab032cef491c7dbed4183e4747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df79382a109b3fa455b94bfc694f5ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d28aadc13222c88cec6fb8fe7bf199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
解题方法
2 . 已知函数
(
且
),且
.
(1)求
的解析式:
(2)若函数
在
上的最小值为0,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b043fcf34272297ad32d0efc7e083b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8a114af9a47b5323510da90975657a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2489e2edbc3683fceb728ce9292b1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数,
且
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc895959e9bc92294dc9dd2263dbf0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033f2c2bee683bec51fd69e2640ca5a0.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e339e977418dba3840c4f86f21ce9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b66b962df02f9c885e23e959b4dbf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-24更新
|
571次组卷
|
3卷引用:广东省深圳市龙华区2023-2024学年高一上学期1月期末学业质量监测数学试题
广东省深圳市龙华区2023-2024学年高一上学期1月期末学业质量监测数学试题江西省抚州市广昌县第一中学2023-2024学年高一上学期期末数学试题(已下线)第10题 动静转换求范围,构造函数是关键(优质好题一题多解)
解题方法
4 . 已知函数
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca6c00903b9dd306287ba3bb91035.png)
(1)若对任意的
,总存在
,使得
,求a的取值范围;
(2)设
,记
为函数在
上的最大值,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7215124081342ba1d78c39b2c98d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56dcd5cbb109fd4cc909e7c41c9eefc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca6c00903b9dd306287ba3bb91035.png)
(1)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0496d81c441e6cfa9c26ff7e83746eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a32fef274f43f90a37c57c46f2c670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3125c342e7fcc6ba0aff633dbaf8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760f804646698060703c5458ff5637c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760f804646698060703c5458ff5637c7.png)
您最近一年使用:0次
2023-08-02更新
|
677次组卷
|
2卷引用:广东省阳江市高新区2023-2024学年高二上学期1月期末监测数学试题
名校
解题方法
5 . 已知函数
.
(1)若
,求
在
上的值域;
(2)若关于
的方程
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf84f17f3a7835462378a87575cb3fc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-04-01更新
|
1505次组卷
|
6卷引用:广东省清远市2022-2023学年高一上学期期末数学试题
广东省清远市2022-2023学年高一上学期期末数学试题广东省深圳市蛇口育才教育集团育才中学2023-2024学年高一上学期阶段检测(二)数学试题(已下线)第二章 函数的概念与性质 第四节 二次函数(已下线)第02讲 4.2指数函数(2)-【帮课堂】山东省德州市第一中学2023-2024学年高一上学期12月阶段性测试数学试题(已下线)第9题 指数最值 换元求解
名校
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03d4fd9d26992f3569b43a3a68bbcea.png)
在
上为奇函数,
,
.
(1)求实数
的值并指出函数
的单调性(单调性不需要证明);
(2)设存在
,使
成立,求出
所在的集合
;
(3)请问是否存在
的值,使
最小值为
,若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03d4fd9d26992f3569b43a3a68bbcea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854c384242ea1b47496df067cc782521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ebd84a77eb6fb88506b1d80416a0194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)请问是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b4511aee0571fe27c8a6b04a5eae68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459c84c9addfbd1cdd0a877ba7c584e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-03-28更新
|
613次组卷
|
2卷引用:广东省揭阳市三校2022-2023学年高一下学期4月期中联考数学试题
名校
7 . 一年之计在于春,春天正是播种的好季节.小林的爷爷对自己的一块正方形菜园做了一些计划.如图,
是边长为
米的正方形菜园,扇形
区域计划种植花生,矩形
区域计划种植蔬菜,其余区域计划种植西瓜.
分别在
上,
在弧
上,
米,设矩形
的面积为
(单位:平方米).
,请写出
(单位:平方米)关于
的函数关系式;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613d648ab11bb6336d31fa508fd7515b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfbd83edd3c4f631662afc2b3d3e05e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613d648ab11bb6336d31fa508fd7515b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e786008371d7ab37d1c782bf5754f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2023-03-28更新
|
1216次组卷
|
9卷引用:广东省佛山市荣山中学2022-2023学年高一下学期期中数学试题
广东省佛山市荣山中学2022-2023学年高一下学期期中数学试题重庆市部分学校2022-2023学年高一下学期3月大联考数学试题(已下线)模块一 专题4 三角恒等变换3(北师大版)上海市青浦高级中学2023届高三下学期5月质量检测数学试题(已下线)模块一 专题2 三角恒等变换2(苏教版)河南省焦作市博爱县第一中学2022-2023学年高一下学期期末数学试题(已下线)模块四 专题6 大题分类练(三角函数)基础夯实练(人教A)期末终极研习室(已下线)模块一 专题5三角恒等变换2(人教A版)期末终极研习室(已下线)模块一 专题5 三角恒等变换【讲】人教B版
解题方法
8 . 若函数
与区间
同时满足:①区间
为
的定义域的子集;②对任意
,存在常数
,使得
成立;则称
是区间
上的有界函数,其中
称为函数
的一个上界.
(1)判断函数
,
是否是R上的有界函数;
(2)试探究函数
在区间
上是否存在上界
,若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791e0a33ac5593e2ac213d1220595c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea232de27d21a2646fd4520ea0726bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55041dae3b1ebd0c6dc3af8877924638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c081183951b5d3dbee9817f1ba422b97.png)
(2)试探究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c2e580a88b4085cc8fc93f13db0904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
9 . 已知函数
是二次函数,且满足不等式
的解集为
和
.
(1)求
的解析式;
(2)求函数
,
的最小值;
(3)若
,试将
的最小值表示成关于
的函数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da34ce730f711c09909d53806fe2330a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ff5f5621db0dd6d5edaef8948a924b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f280ed139f0126a96a27b6871a4741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa90da5074afd9bcb543a74a1f3adc37.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb4e62ea5df8cd4fd82ad56155f78ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3466b71d1d9117438ed50388a57d9397.png)
您最近一年使用:0次
名校
10 . 已知函数
为奇函数.
(1)求实数
的值,并判断函数
的单调性;
(2)当
时,求函数
的最小值;
(3)若函数
在区间
上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b566220cc6b103e215d08e9b1db67d.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0dc2f0fa9c3022af75b35b78a4aa0d.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4e8ffa325dd00cdebb29784061bfb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-11-08更新
|
1219次组卷
|
3卷引用:广东省华南师范大学附属中学2022-2023学年高一上学期期中数学试题