名校
1 . 对于正整数集合
,记
,记集合
所有元素之和为
,
.若
,存在非空集合
、
,满足:①
;②
;③
,则称
存在“双拆”.若
,
均存在“双拆”,称
可以“任意双拆”.
(1)判断集合
和
是否存在“双拆”?如果是,继续判断可否“任意双拆”?(不必写过程,直接写出判断结果);
(2)
,证明:
不能“任意双拆”;
(3)若
可以“任意双拆”,求
中元素个数的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ea2881211e9974998bbf1b6fde02ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18092168088b399de1c2d765cc0aad06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961240074ef9851fe26f93d35cb94adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a375fae50ad1b3d14c011673110256fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a82f4f602933ea0b10f9eb8e63ce186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bef6656e3bcaf95b20f06773ee256bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dd183310dbf9e6529405574cefc9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd170c506a8ce70f550f5751ae016ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cd2052417ccb1650cc533f62273aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536709af74dd33236a7dcc13cee3933f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1752a1d13ec6a233405fce4d5af61d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2022-11-04更新
|
574次组卷
|
6卷引用:第一章 集合与逻辑(压轴题专练)-速记·巧练(沪教版2020必修第一册)
(已下线)第一章 集合与逻辑(压轴题专练)-速记·巧练(沪教版2020必修第一册)北京市海淀区中国人民大学附属中学2022-2023学年高一上学期期中练习数学试题北京市海淀区二十中学2022-2023学年高一上学期阶段性检测(12月月考)数学试题(已下线)单元高难问题01集合中的新定义问题-【倍速学习法】(人教A版2019必修第一册)北京市顺义区第一中学2023-2024学年高一上学期期中考试数学试题北京市第二中学2023-2024学年高一上学期第一学段考试数学试卷
名校
解题方法
2 . 已知函数
.
(1)求将函数
的图像进行怎样的平移,能够得到函数
的图像?
(2)若函数
在
上是严格减函数,求实数
的取值范围.
(3)将函数
图像向右平移一个单位,得函数
的图像,已知函数
图像关于
轴对称,且当
时,它与函数
的关系是
.现已知关于
的方程
解集中有七个元素,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
(1)求将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b28fb1035e9ff7766a054b5c86a150.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b28fb1035e9ff7766a054b5c86a150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a8b8044825d59a09d5ff2efdc42981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959d754452ebd9902832a977ddb86491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb9667923104003b76a66d7c3b0a1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f71ef140d15cb1834a91b060df0dfda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b481ee616038c222bc8b2b4d1e4d23a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 若集合
且
,则称
构成
的一个二次划分.任意给定一个正整数
,可以给出整数集
的一个
次划分
,其中
表示除以
余数为
的所有整数构成的集合.这样我们得到集合
,称作模
的剩余类集.模
的剩余类集可定义加减乘三种运算,如
,(其中
为
除以
的余数).根据实数中除法运算可以根据倒数的概念转化为乘法,因此要定义除法运算只需通过
定义倒数就可以了,但不是所有
中都可以定义除法运算.如果该集合还能定义除法运算,则称它能构成素域.那么下面说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8f1df735a4480e538fd1d067fbd577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d240502c18bdbc4d19fe46d68251be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d556b8971c416a4022eb099cf579e115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8df92fa4de7ebf57547e02c274ebcdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de7b77063511b369e6c4bd866d0cef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94fcdb1a41bc403fd24c3d8d6fa94bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a2cfd72220c292038dee3090127bc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ac8edac387e9fa034b061cbda49460.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
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名校
4 . 从
、
、
、
、
这
个正整数中取出
个正整数,要求满足:任何两个正整数的差的绝对值都不等于
或
,那么
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76fba0fe83cf0aa9a68210591cac1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76fba0fe83cf0aa9a68210591cac1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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5 . 阅读理解:对于任意正实数
,因为
,所以
,所以
,只有当
时,等号成立.结论:在
(
均为正实数)中,若
为定值
,则
,只有当
时,
有最小值
.根据上述内容,回答下列问题:
(1)若
,只有当
___________时,
有最小值___________;
(2)思考验证:如图1,
为半圆
的直径,
为半圆上任意一点(与点
不重合),过点
作
,垂足为
.试根据图形验证
,并指出等号成立时的条件.
(3)探索应用:如图2,已知
为双曲线
上的任意一点,过点
作
轴,垂足为
轴,垂足为
.求四边形
面积的最小值,并说明此时四边形
的形状.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f03cab451843012fd80fa6cc698c648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97a2db7751b3232d5bdfabda09b03cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8fa06a7a14712120d8361aebe90556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd90e148efdab0f2950e5337fe54902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd90e148efdab0f2950e5337fe54902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f03cab451843012fd80fa6cc698c648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdcf3e1bc32b766cbdd81e74968f9818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280f7cc99fa100b85cc7a133811a9a8d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ebfa50f5a8ef1981424b654d89da7da.png)
(2)思考验证:如图1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e8241178a12ca61485b8f84e87b270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd90e148efdab0f2950e5337fe54902.png)
(3)探索应用:如图2,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5f98e6742249e61419f6c0ff80f4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbba3bc5e72728089890d07fb762e738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e7c6d54b0d73fa8d3af7f2a4d7f049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509c2d81f4d40cb48893a56f47be68b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/85154514-dd04-47b6-ab8b-8a10d0b247a3.png?resizew=400)
您最近一年使用:0次
名校
6 . 对于函数
,
,设区间
是
上的一个子集,对于区间
上任意的
,
,
,当
时,如果总有
,则称函数
是区间
上的
函数.
(1)判断下列函数是否是定义域上的
函数:①
,②
;
(2)已知定义域上的严格增函数
也是定义域上的
函数,试问:
是否是定义域上的
函数?若是,请给出证明;若不是,请说明理由;
(3)若函数
为区间
上的
函数,证明:对于任意的
,
和任意的
,总有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c86dd7dc05984b4e54d5f91d60f21d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)判断下列函数是否是定义域上的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6342e0a5a8942cfb1cf535ceb2c50d.png)
(2)已知定义域上的严格增函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7d1d5b0d1d62c83386d87825f789e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4f386c18fb52c1d57b532d138bc74e.png)
您最近一年使用:0次
2022-12-18更新
|
886次组卷
|
4卷引用:上海市进才中学2021-2022学年高一上学期期末数学试题
上海市进才中学2021-2022学年高一上学期期末数学试题(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)(已下线)必修第一册综合检测-人教A版(2019)必修第一册单元测试能力卷辽宁省大连市第二十四中学2023届高三高考适应性测试(一)数学试题
7 . 某同学在学习和探索三角形相关知识时,发现了一个有趣的性质:将锐角三角形三条边所对的外接圆的三条圆弧(劣弧)沿着三角形的边进行翻折,则三条圆弧交于该三角形内部一点,且此交点为该三角形的垂心(即三角形三条高线的交点).如图,已知锐角
外接圆的半径为2,且三条圆弧沿
三边翻折后交于点
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e08f1270f921fb8161f97279a9b3565.png)
___________ ;若
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e08f1270f921fb8161f97279a9b3565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48daf9b90b37d152a788681bd6603bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ed53a398b1d6b7b4abbb43a9abcf1f.png)
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2022-07-21更新
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4128次组卷
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16卷引用:第八章 平面向量(压轴题专练)-单元速记·巧练(沪教版2020必修第二册)
(已下线)第八章 平面向量(压轴题专练)-单元速记·巧练(沪教版2020必修第二册)辽宁省县级重点高中协作体2021-2022学年高一下学期期末考试数学试题(已下线)6.4.3 余弦定理、正弦定理 (第1课时)余弦定理(分层作业)-【上好课】2022-2023学年高一数学同步备课系列(人教A版2019必修第二册)福建师范大学附属中学2022-2023年高一下学期期中考试数学试题(已下线)模块四 专题1 小题入门夯实练2(北师大版)(已下线)期末专题05 解三角形小题综合-【备战期末必刷真题】2022年新高考原创密卷数学试题(四)河北省衡水中学2023届高三第四次综合素养测评数学试题湖北省天门市2023届高三下学期5月适应性考试数学试题河南省洛阳市部分学校2023-2024学年高三上学期三调考试数学试题广东省东莞中学、广州二中、惠州一中、深圳实验、珠海一中、中山纪念中学2024届高三第四次六校联考数学试题湖南省长沙市雅礼中学2024届高三下学期月考(七)数学试题(已下线)信息必刷卷05湖南省长沙市湖南师范大学附属中学2023-2024学年高三下学期月考七数学试题(已下线)信息必刷卷04(江苏专用,2024新题型)江苏省常州市华罗庚中学2024届高三下学期4月冲刺测试一数学试卷
名校
解题方法
8 . 若点
在函数
的图象上,且满足
,则称
是
的
点.函数
的所有
点构成的集合称为
的
集.
(1)判断
是否是函数
的
点,并说明理由;
(2)若函数
的
集为
,求
的最大值;
(3)若定义域为
的连续函数
的
集
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ef0287740211d65da72c0e494e630c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4966e5af166b69a0a38a98abf555b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c111ae39998037ad9c2eef5a892b3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b820f749904501fafc23018b528ed82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(3)若定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262ea17a76ec2b15e9f5c96e42ca4b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d27fb6dea56ea845f338fce3d432af9.png)
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2022-07-07更新
|
1987次组卷
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8卷引用:上海市高一下学期期末真题必刷04-期末考点大串讲(沪教版2020必修二)
(已下线)上海市高一下学期期末真题必刷04-期末考点大串讲(沪教版2020必修二)北京市海淀区2021-2022学年高一下学期期末练习数学试题上海市复旦大学附属中学2023届高三上学期9月月考数学试题河南省周口市淮阳区淮阳中学2022-2023学年高一上学期期末数学试题安徽省安徽师范大学附属中学2022-2023学年高一下学期3月月考数学试题(已下线)第5章 三角函数(基础、典型、易错、压轴)分类专项训练(2)广西桂林市第十八中学2023-2024学年高一下学期4月月考数学试题(A卷)北京市第十四中学2023-2024学年高一下学期期中检测数学试卷
名校
解题方法
9 . 我校高一同学发现:若
是
内的一点,
、
、
的面积分别为
、
、
,则存在结论
,这位同学利用这个结论开始研究:若
为
内的一点且为内心,
的内角
、
、
的对边分别为
、
、
,且
,若
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7ffcd1925a2b1259221c6a476152f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319b6a5373bc8eb13772b8e6d047779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea3c7cd2f23b4521e64a7e64844ec48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089e8a7f6c535fc3cd270af428d55f65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be054623c7e701a2a7170ac7f57b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa16e53d10b8f8a309e288d69b8b550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab5af7a2b5e62ab9f8be26b7ef386f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
您最近一年使用:0次
2022-06-28更新
|
1404次组卷
|
6卷引用:上海市华东师范大学第一附属中学2021-2022学年高一下学期期末数学试题
上海市华东师范大学第一附属中学2021-2022学年高一下学期期末数学试题(已下线)专题04 三角-《期末真题分类汇编》(上海专用)(已下线)微专题06 妙用等和线解决平面向量系数和与差问题-【微专题】2022-2023学年高一数学常考点微专题提分精练(人教A版2019必修第二册)(已下线)重难点专题01 妙用奔驰定理解决三角形面积比问题-【帮课堂】(苏教版2019必修第二册)(已下线)专题1平面向量线性运算 (提升版)(已下线)第五篇 向量与几何 专题13 奔驰定理 微点1 奔驰定理(一)
名校
解题方法
10 . 已知函数
.
(1)求方程
在
上的解集;
(2)求证:函数
有且只有一个零点
,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff8704285d8c14ae2bd82f9196501c7.png)
(1)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69874732f31d89d5c71e79fc8a99c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137d6a66a015ddd2a8076f35ed191927.png)
(2)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf3aa37da03d7802ba5c4cdffc07a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f261e90d4dcbaed811d33646a91aff24.png)
您最近一年使用:0次
2022-06-27更新
|
704次组卷
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4卷引用:第七章 三角函数(压轴题专练)-单元速记·巧练(沪教版2020必修第二册)
(已下线)第七章 三角函数(压轴题专练)-单元速记·巧练(沪教版2020必修第二册)江苏省扬州市2021-2022学年高一下学期期末数学试题江西省宜春市高安二中,丰城九中,樟树中学,万载中学五2023-2024学年高一上学期11月月考数学试题广东省珠海市实验中学、河源高级中学、中山市实验中学、珠海市鸿鹤中学2023-2024学年高一下学期4月联考数学试题