1 . 调查某地居民每年到商场购物次数
与商场面积
、到商场距离
的关系,得到关系式
(
为常数).如图,某投资者计划在与商场
相距10km的新区新建商场
,且商场
的面积与商场
的面积之比为
.记“每年居民到商场
购物的次数”、“每年居民到商场
购物的次数”分别为
,
,称满足
的区域叫做商场
相对于
的“更强吸引区域”.
与
相距15km,且
.当
时,居住在
点处的居民是否在商场
相对于
的“更强吸引区域”内?请说明理由;
(2)若要使与商场
相距2km以内的区域(含边界)均为商场
相对于
的“更强吸引区域”,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3434e1664f467fabfa28d5f9115f387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de67b8fc083f137ebbb82e6c2ba33cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ab1256702aef4e9f1a5eb6c12ecc96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbd67f60f04c278bdd867fdb3979dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf32171461f12fc1edf54b9ec44efea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/42e12bfde565540f059dd27ea47dfaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3cf0f585938ede9eca890a6eb326d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若要使与商场
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.
(1)求不等式
的解集;
(2)若关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe84cebf3fd30d5300bd730d896afc11.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57082c0a22d9d368a3f44de5af74ce9e.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3aca930926ab36ea3cfca8532ccdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-06-03更新
|
269次组卷
|
4卷引用:2020届河南省商丘周口市部分学校联考高三5月质量检测数学(文科)试题
名校
解题方法
3 . 已知关于x的不等式
的解集为A.
(1)若
,求A;
(2)若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0cdf35fd256033009811b269682893.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843c3f388a75bf981c11ca947a86e5fa.png)
您最近一年使用:0次
名校
解题方法
4 . (1)若
,
,求证:
;
(2)设
,求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829c3146484a77b8597a60f806ce8ee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2aa5e48ef4cc10678706d9883e7a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031ede0c2bfeb8bfb8b347a2e7cd3bbc.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fecaefda8567646f10d76668293d845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7de8538ee943759e297736b8ac2845.png)
您最近一年使用:0次
5 . 在直角坐标系中,定义
之间的“直角距离”:
.若点
,
为直线
上的动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afcf3f2dd70267daf292fd7affbe3cf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b175cbe0bf64d7852e3270158d29bad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85dd382fa447b567a9de87cac1990d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abd1ceef6e219ee7dfa3f72f3014e92.png)
(Ⅰ)解关于的不等式
;
(Ⅱ)求的最小值.
您最近一年使用:0次
13-14高一下·广东揭阳·期中
名校
6 . 已知定义域为
的函数
同时满足以下三个条件:
(1) 对任意的
,总有
;(2)
;(3) 若
,
,且
,则有
成立,则称
为“友谊函数”,请解答下列各题:
(1)若已知
为“友谊函数”,求
的值;
(2)函数
在区间
上是否为“友谊函数”?并给出理由.
(3)已知
为“友谊函数”,假定存在
,使得
且
, 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1) 对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12aae852c3129efc16934aefc54201f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cd2fe62ffe3caa1c6f7976851c9dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2f51cd760aeff9365b51e9a85b41e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27928aa83370ffb7e137019ff03c3e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)若已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078d5da73e5aa679bc163820b7b73f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc0414f6c290d1dc3678ba41b4620f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c22b0b866e6181ac3c39c9c1db91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4415137475716480dfb80957285379f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73bc955d158efde0bdd62d14a60a65e3.png)
您最近一年使用:0次
2016-12-03更新
|
1861次组卷
|
3卷引用:2013-2014学年广东省揭阳一中高一下学期期中学业水平测试数学试卷
(已下线)2013-2014学年广东省揭阳一中高一下学期期中学业水平测试数学试卷湖南师范大学附属中学2017-2018学年高一上学期第一次阶段性检测数学试题湖北省武汉为明学校2019-2020学年高一上学期第一次阶段考试数学试题
2010·广东·一模
名校
7 . 对于定义在区间D上的函数
,若存在闭区间
和常数
,使得对任意
,都有
,且对任意
∈D,当
时,
恒成立,则称函数
为区间D上的“平底型”函数.
(Ⅰ)判断函数
和
是否为R上的“平底型”函数? 并说明理由;
(Ⅱ)设
是(Ⅰ)中的“平底型”函数,k为非零常数,若不等式
对一切
R恒成立,求实数
的取值范围;
(Ⅲ)若函数
是区间
上的“平底型”函数,求
和
的值.
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2a2d903ba240a8b9a5ffc89d253c6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8fcc03f1fbc04e581c54d481543a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82639cc42b3278ddb550fcd40550cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9287c65e8e6c68fd2a43cd68a4ed308e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e65ce6beb859d217affa006e8bd355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅰ)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e64da1f043ad0c3fd44f6c24eaa6459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca2d1b039514228cb725445f3d6f8df.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d9d2218ca8690645409c8c93f8d7659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb1d808cf4ff5ea1a3399c2d25656a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅲ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46bf94f9a3b0a0cc75158b6073ffc9eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7ab1aba1cdf4453848ccece383b12e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
.
您最近一年使用:0次
2016-11-30更新
|
1188次组卷
|
5卷引用:2010年普通高等学校招生全国统一考试预测卷(广东卷)理科试题
(已下线)2010年普通高等学校招生全国统一考试预测卷(广东卷)理科试题(已下线)广东省珠海一中09-10学年高二下学期期末考试理科数学试题(已下线)2011届河北省唐山一中高三第二次调研考试数学理卷上海市向明中学2015-2016学年高一上学期期中数学试题江苏省盐城市建湖县上冈高级中学2018-2019学年高一上学期期中数学试题