名校
1 . 如图所示,4个长为
,宽为
的长方形,拼成一个正方形
,中间围成一个小正方形
,则以下说法中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/e68f9d9f-4ee4-4280-bb5f-b40402471628.png?resizew=150)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/e68f9d9f-4ee4-4280-bb5f-b40402471628.png?resizew=150)
A.![]() | B.当![]() ![]() ![]() ![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-10-30更新
|
618次组卷
|
4卷引用:湖北省武汉市部分学校2020-2021学年高一上学期10月联考数学试题
2 . 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
3 . 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
4 . 已知实数
,且
,则当
取得最大值时,
这100个数中,值为1的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e21d3761c4473f723d87f15d7586b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7122481ca1c2ee6ccd3e102176575d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c623a3d87d084f484930258eae196cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df86196c04cec356979da912259a38d3.png)
A.50个 | B.51个 | C.52个 | D.53个 |
您最近一年使用:0次
2020-05-21更新
|
210次组卷
|
2卷引用:2020届上海市松江区高三下学期模拟考质量监控数学试题
解题方法
5 . 为满足人民群众便利消费、安全消费、放心消费的需求,某社区农贸市场管理部门规划建造总面积为
的新型生鲜销售市场.市场内设蔬菜水果类和肉食水产类店面共80间.每间蔬菜水果类店面的建造面积为
,月租费为
万元;每间肉食水产店面的建造面积为
,月租费为0.8万元.全部店面的建造面积不低于总面积的80%,又不能超过总面积的85%.①两类店面间数的建造方案为_________ 种.②市场建成后所有店面全部租出,为保证任何一种建设方案平均每间店面月租费不低于每间蔬菜水果类店面月租费的90%,则
的最大值为_________ 万元.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb48a102b13e7dc8c4ca05e4432fbac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41d5293e541b0f67cea0910b0e4fa1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29fe0224ceab97af4600bf51af7b0347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2020-05-12更新
|
1234次组卷
|
9卷引用:2020届山东省威海市高三一模数学试题
2020届山东省威海市高三一模数学试题(已下线)3.4函数的应用(一) -2020-2021学年新教材导学 导练高中数学必修第一册(人教A版)(已下线)专题五 不等式-2020山东模拟题分类汇编(已下线)一元二次函数、方程和不等式(综合测试卷)-2020-2021高中数学新教材配套提升训练(人教A版必修第一册)(已下线)第04章+指数函数与对数函数(B卷提高篇)-2020-2021学年高一数学必修第一册同步单元AB卷(新教材人教A版)(已下线)2021届普通高等学校招生全国统一考试数学考向卷(五)北京市中国人民大学附属中学朝阳学校2022一2023学年高一上学期10月阶段检测数学试题(已下线)新高考卷03(已下线)2.1等式性质与不等式性质(第1课时)(分层作业)-【上好课】
6 . 设
为正整数,区间
(其中
,
)同时满足下列两个条件:
①对任意
,存在
使得
;
②对任意
,存在
,使得
(其中
).
(Ⅰ)判断
能否等于
或
;(结论不需要证明).
(Ⅱ)求
的最小值;
(Ⅲ)研究
是否存在最大值,若存在,求出
的最大值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c724c6119e3e17b6181178ce7e6baf75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d1fd5262cae918d9c8ef6a1bede788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f84aa794bc075d6139177cd2f59925.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbba3561714a2b7b7b675e4c319e4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b375f090c551bb2817fa942edbf9bd05.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/165df5a77d87e7c534898e995f162562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbba3561714a2b7b7b675e4c319e4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5de90d938c439d3a9a8e5e1880604f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927a02889cbfc416da88181520058c3a.png)
(Ⅰ)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb6b5ca66b71ac5daa42ce59f19f72d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432851e0d0b7a2924da29b9cc5ca1706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f6b3e4ab38102e50c861c13496bd215.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(Ⅲ)研究
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2020-05-12更新
|
913次组卷
|
2卷引用:2020届北京市西城区高三诊断性考试(二模)数学试题
名校
解题方法
7 . 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
8 . 设
为下述正整数
的个数:
的各位数字之和为
,且每位数字只能取
,
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
(1)求
,
,
,
的值;
(2)对
,试探究
与
的大小关系,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac657ea5bbf4b237a30e4074c76cc81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd12570de0a4883407dc50eea28e011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3ada10cd62cec32c5ffc7bd17d3599.png)
您最近一年使用:0次
名校
9 . 若函数
在其图象上存在不同的两点
,
,其坐标满足条件:
的最大值为0,则称
为“柯西函数”,
则下列函数:
;
;
;
.
其中为“柯西函数”的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f4d0979f99fca4394ea0aa7d53d1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183840b6798ab3f683c8342e925c862d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90da2e0fe6589a1fb50a5225c9b0f047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9a93b4bf49ad766e54a767f18fae38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f4d0979f99fca4394ea0aa7d53d1f5.png)
则下列函数:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfe5d01231f87e59225f19a1b26f15e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9f20c0fba0980f358472046b127335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4dc5d29c069bb67d0642090d660965d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269adee22b7ea8a246b56d06fa3beb70.png)
其中为“柯西函数”的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2019-03-24更新
|
862次组卷
|
3卷引用:【校级联考】江西省临川第一中学等九校2019届高三3月联考数学(文)试题
2013·陕西·模拟预测
名校
10 . 设f(x)=2|x|-|x+3|,若关于x的不等式f(x)+|2t-3|≤0有解,则参数t的取值范围为________ .
您最近一年使用:0次