名校
解题方法
1 . 设二次函数
,若函数
的值域为
,且
,则
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0087efa2a54be408dd4d29656a0694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3263d873d15640084eea58cb5171e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08ac03f255b58642c6c0c72b597d8d0.png)
您最近一年使用:0次
2021-12-20更新
|
2963次组卷
|
13卷引用:上海市普陀区2022届高三一模数学试题
上海市普陀区2022届高三一模数学试题上海交通大学附属中学2021-2022学年高一上学期期末数学试题(已下线)专题02 等式与不等式(模拟练)(已下线)第07讲 基本不等式及其应用(2大考点4种解题方法)(1)上海市静安区风华中学2024届高三上学期10月月考数学试题(已下线)专题09 等式和不等式小题大做-备战2022年高考数学冲刺横向强化精练精讲(新高考专用)(已下线)专题2-1 函数性质1:值域12类归纳-1(已下线)2.3平均值不等式证明(第1课时)(已下线)专题02 等式与不等式(练习)-1湖北省部分高中联考协作体2022-2023学年高一上学期期中联考数学试题陕西省西安市曲江第二中学2022-2023学年高一上学期期末数学试题(已下线)专题03 等式与不等式的性质-1(已下线)高一上学期期中考试填空题压轴题50题专练-举一反三系列
名校
解题方法
2 . 关于
的方程
有三个不同的实根,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafb09e4a94e990e81d50941d095cf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
A.![]() | B.![]() | C.![]() | D.0 |
您最近一年使用:0次
2021-02-07更新
|
739次组卷
|
8卷引用:上海市七宝中学2021届高三下学期第一次模拟数学试题
上海市七宝中学2021届高三下学期第一次模拟数学试题上海市闵行区七宝中学2021届高三5月份数学模拟试题((已下线)模块02 不等式-2022年高考数学一轮复习小题多维练(上海专用)浙江省绍兴市嵊州市2020-2021学年高三上学期期末数学试题(已下线)【新东方】绍兴数学高三上【00006】(已下线)考点53 不等式选讲-备战2022年高考数学(理)一轮复习考点帮(已下线)2022年高考浙江数学高考真题变式题19-22题(已下线)2022年高考浙江数学高考真题变式题7-9题
3 . 已知定义在实数集
上的偶函数
和奇函数
满足
.
(1)求
与
的解析式;
(2)若定义在实数集
上的以2为最小正周期的周期函数
,当
时,
,试求
在闭区间
上的表达式,并证明
在闭区间
上单调递减;
(3)设
(其中
为常数),若
对于
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e9a48415eb87144dbd4630320da811.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
(2)若定义在实数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387570acb93efd8b7079bcda50743123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6343069217cd6d8dd32446da428dae46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72889ec56010bdbf9ed3aa91b3f97ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387570acb93efd8b7079bcda50743123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9555abad284dcdc5cfa290b047f77c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387570acb93efd8b7079bcda50743123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9555abad284dcdc5cfa290b047f77c3d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d4127926f1fa10d8ecfb4ed4b29415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6ee1f6c8d675a8933ebdde6191021c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a349161b52f9493112280309454cd9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-02-04更新
|
463次组卷
|
2卷引用:2016届上海市静安区高考一模(理科)数学试题
4 . 已知数列
的奇数项是首项为1的等差数列,偶数项是首项为2的等比数列.设数列
的前n项和为
且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53877766161e237e871b298b38ac0128.png)
(1)求数列
的通项公式;
(2)若
求正整数
的值;
(3)是否存在正整数
,使得
恰好为数列
的一项?若存在,求出所有满足条件的正整数
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7a9511c3d1b6d41d17df1559919880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53877766161e237e871b298b38ac0128.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90616641d2f2cf0e5d533fc4813c6cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)是否存在正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d447e1dc2898e19f4be02b41086d09d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-02-02更新
|
247次组卷
|
2卷引用:2016届上海市虹口区高三4月高考练习(二模)(文)数学试题
名校
5 . 已知
是定义在
上的函数,记
,
的最大值为
.若存在
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3572457f6eb45b5d49138da4cd0d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec65b538f7ba2d5f636623ee85955e2.png)
,则称一次函数
是
的“逼近函数”,此时的
称为
在
上的“逼近确界”.
(1)验证:
是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc04a40b5a7fd2504316a164190beeb.png)
的“逼近函数”;
(2)已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906bab9959325ca0d2dd54b57786bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7a3dbf513ce40befb25a801e6cf7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7316f2f1cf67a610e31adfa12ef50d6d.png)
.若
是
的“逼近函数”,求
的值;
(3)已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906bab9959325ca0d2dd54b57786bb0.png)
的逼近确界为
,求证:对任意常数
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1291ecd1ed0c05219d47f05fb585bd52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90cd32efb968fbe9782f556ba6e5ae99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3b73875f5ded5e57738d7575f085b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3572457f6eb45b5d49138da4cd0d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec65b538f7ba2d5f636623ee85955e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bfa3b19dbc87544ec8e57606cb067d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
(1)验证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4b0eba587d0af5c665a8f909df5104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc04a40b5a7fd2504316a164190beeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906bab9959325ca0d2dd54b57786bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7a3dbf513ce40befb25a801e6cf7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7316f2f1cf67a610e31adfa12ef50d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106e346ccfc716b38eba9e2404a5ea8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f906bab9959325ca0d2dd54b57786bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc868a2077000982bd4594d95cfc351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba58ee96c397a0e865e5ec333a664bb.png)
您最近一年使用:0次
2020-01-30更新
|
329次组卷
|
5卷引用:2017届上海市浦东新区高考三模数学试题
2017届上海市浦东新区高考三模数学试题2017届上海市浦东新区高三下学期5月练习数学试题上海市川沙中学2021-2022学年高二下学期期末数学试题(已下线)上海高二下学期期末真题精选(压轴60题35个考点专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)上海市南汇中学2024届高三上学期期中数学试题
名校
6 . 对于函数
,若存在正常数
,使得对任意的
,都有
成立,我们称函数
为“
同比不减函数”.
(1)求证:对任意正常数
,
都不是“
同比不减函数”;
(2)若函数
是“
同比不减函数”,求
的取值范围;
(3)是否存在正常数
,使得函数
为“
同比不减函数”,若存在,求
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9298ea50c497b0ad0905c08d72565892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c64c9f7e6d921f2f134b832dc87e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)求证:对任意正常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75002197969b3f83acd8a964c08c1e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)是否存在正常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d6ad71a9ff62fe6cdcb3393011b64a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
您最近一年使用:0次
2020-01-29更新
|
1066次组卷
|
9卷引用:上海市复旦大学附中2018届高三上学期10月月考数学试题
上海市复旦大学附中2018届高三上学期10月月考数学试题上海市复旦大学附属中学2018届高三上学期第一次综合测试数学试题上海市杨浦区2017届高三上学期期末质量调研数学试题上海市复旦大学附属中学2018 届高三上学期第一次月考数学试题上海市南洋模范中学2021届高三上学期9月月考数学试题(已下线)重难点12 选考系列(参数方程与不等式)-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)课时07 不等式的基本性质-2022年高考数学一轮复习小题多维练(上海专用)上海市七宝中学2023-2024学年高一下学期开学考试数学试题(已下线)专题02 函数的综合应用-1
名校
7 . 已知函数
,其中
为常数.
(1)当
时,解不等式
;
(2)已知
是以2为周期的偶函数,且当
时,有
.若
,且
,求函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
的反函数;
(3)若在
上存在
个不同的点
,
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d1a94ea3c278c2197572cc1b7725b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73403af0e659b0d37e0f0b6edf269eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c76e839b5cdae2d2a269fae6f0cecad.png)
(3)若在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20b0fbf898ae18f2efdea8be286747b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a67c640d93f2c77e1b1c37bffbee68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd8aca43265bd67a26d37ea1a44665e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-01-02更新
|
955次组卷
|
10卷引用:上海市嘉定区、长宁、金山区2019-2020学年高三上学期期末数学试题
上海市嘉定区、长宁、金山区2019-2020学年高三上学期期末数学试题2020届上海市长宁嘉定金山高三一模数学试题2020届上海市嘉定区高三一模数学试题(已下线)热点02 函数及其性质-2021年高考数学【热点·重点·难点】专练(上海专用)上海市控江中学2022届高三上学期开学考数学试题上海市杨浦区控江中学2022届高三上学期第一次月考(9月)数学试题上海市浦东复旦附中分校2022届高三上学期10月月考数学试题(已下线)期末复习【过关测试】-2020-2021学年高一数学单元复习(沪教版2020必修第一册)(已下线)期末复习【真题训练】-2020-2021学年高一数学单元复习(沪教版2020必修第一册)湖南省娄底市新化县五校联盟2022-2023学年高一上学期期末联考数学试题
8 . 设集合
由满足下列两个条件的数列
构成:①
②存在实数
使得
对任意正整数
都成立.
(1)现在给出只有5项的有限数列
试判断数列
是否为集合
的元素;
(2)设数列
的前项和为
且
若对任意正整数
点
均在直线
上,证明:数列
并写出实数
的取值范围;
(3)设数列
若数列
没有最大值,求证:数列
一定是单调递增数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb396d39062b87507b6d9ce28b841e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96ecb5f9618e6488e0459c8efcd00c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)现在给出只有5项的有限数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74eb4ff1f7cecdbe5b9ad2f87a6d869e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117464f527849ab995858aaa20f4175b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/723a219f613878364e4a6ac272055099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa38dba3681c7b18114885e82463880a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da02b21ba6425f0326d26a16a15c091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9450684ca4c5f6ee21f226f5f40abe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80de4ac58be8a7e5486852cf5249891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112be839f8f70a099939d59e1450861a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
您最近一年使用:0次
名校
9 . 已知向量
的夹角为锐角,且满足
、
,若对任意的
,都有
成立,则
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b206129717331a6e4cfb0acf31c8cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645edb51f3059278bad215fe466bf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1994fda0ed8efce318bfa1a65c259977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f607763fe091504b067950c18aaff5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a560b8ff794c12dc8d194bcd2e3f3554.png)
您最近一年使用:0次
2018-04-15更新
|
476次组卷
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3卷引用:【区级联考】上海市徐汇区2018届高三下学期学习能力诊断(二模)数学试题
【区级联考】上海市徐汇区2018届高三下学期学习能力诊断(二模)数学试题(已下线)上海市华东师范大学第二附属中学2022-2023学年高一下学期期中数学试题上海市新川中学2022-2023学年高一下学期期中数学试题
2010·广东·三模
名校
10 . 若对任意
,
有唯一确定的
与之对应,则称
为关于
,
的二元函数,现定义满足下列性质的
为关于实数
,
的广义“距离”.
(
)非负性:
,当且仅当
时取等号;
(
)对称性:
;
(
)三角形不等式:
对任意的实数
均成立.
给出三个二元函数:①
;②
;③
,
则所有能够成为关于
,
的广义“距离”的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc4d5f4cc4f20f44adbae0d2373681b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3c1ed4fb65ab9505ad8078d8d0fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3c1ed4fb65ab9505ad8078d8d0fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3c1ed4fb65ab9505ad8078d8d0fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638df541efb3448608fbad59195e7c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b9d5aaaceaa3ac514d17fcfefbf9b4.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f0d10d93a4cd75d6987cffce7ce7a84.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb1647c7592d692093ccb10ba99ff0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
给出三个二元函数:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f322b17f7284251845f84b376f2ec134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6820cb93dea9eb8430dc184664acb4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c112be1d02723667d2932f0b18eab7ed.png)
则所有能够成为关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2017-12-24更新
|
740次组卷
|
4卷引用:2019年上海市上海中学高三下学期数学测试2数学试题
2019年上海市上海中学高三下学期数学测试2数学试题(已下线)广东省华南师大附中2010届高三第三次模拟考试数学试卷(理科)北京市西城区44中2018届高三上12月月考数学试题北京市西城44中2017届高三12月月考数学(理)试题