名校
1 .
,且
.
(1)方程
在
有且仅有一个解,求
的取值范围.
(2)设
,对
,总
,使
成立,求
的范围.
(3)若
与
的图象关于
对称,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a615271711750f4e18797f6c45404a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221d133bc38df7ae4bf1717cb3ca12d4.png)
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e029124b4cd659d0596a955e6b93ce5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8284604d4499d6ee65dbefed20c7800f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b324aceadfd941605fa757a5ea014c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e21dc6fe0ae3b5c607b274227b547e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58a804ac94af91bb076b7bf3184a24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28dd80f024a2ad50d7d5838a1cd80c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb89f9fa268fc91676108a58c29e114.png)
您最近一年使用:0次
2023-05-21更新
|
1197次组卷
|
6卷引用:专题5.9 三角函数全章八类必考压轴题-举一反三系列
(已下线)专题5.9 三角函数全章八类必考压轴题-举一反三系列(已下线)专题5.4 三角函数的图象与性质-举一反三系列(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)辽宁省沈阳市第十一中学2022-2023学年高一下学期4月月考数学试题江西省吉安市双校联盟2022-2023学年高一下学期期中考试数学试题(已下线)模块四 专题2 重组综合练(江西)(北师版高一期中)
解题方法
2 . 已知向量
满足
,
,
,
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612afa7b97b18b8194457ae225293153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417a0aeb831a1530594b41dcc1829df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a600402d668cfc808ecb2cbd990f9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11e7549cfce9220e70250ac943e457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37dd0802f896556180545ae356e90c7a.png)
A.若点P在直线AB上运动,当![]() ![]() ![]() |
B.若点P在直线AB上运动, ![]() ![]() ![]() |
C.若点P在以r = ![]() ![]() ![]() |
D.若点P在以r = ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
3 . 直线族是指具有某种共同性质的直线的全体.如:方程中,当
取给定的实数时,表示一条直线;当
在实数范围内变化时,表示过点
的直线族(不含
轴).记直线族
(其中
)为
,直线族
(其中
)为
.
(1)分别判断点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266504a4bd910b292c74765dc9772f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f930d5d9e87b19a531a6d9a215d15a.png)
(2)对于给定的正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(3)直线族的包络被定义为这样一条曲线:直线族中的每一条直线都是该曲线上某点处的切线,且该曲线上每一点处的切线都是该直线族中的某条直线.求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f930d5d9e87b19a531a6d9a215d15a.png)
您最近一年使用:0次
4 . 已知双曲线
的右焦点为
,过右焦点
作斜率为正的直线
,直线
交双曲线的右支于
,
两点,分别交两条渐近线于
两点,点
在第一象限,
为原点.
(1)求直线
斜率的取值范围;
(2)设
,
,
的面积分别是
,
,
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbadddf8d6d2a0f0f16c10100795d867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf639890f27a42e1383cc6cfa14117a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bbf417026dc57a5e9ce85359188beec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532d9de08698f61d7c010805c61a4ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c8561afa0f1454ea382a625d000a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d678455f156f5de3f6c0cc78adbe6d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b99d522f019832ececfb82fd2bcb87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30654ba32a8ac50a05dc7e34bba72dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4635ef9bf093c4f65a1dda2d37033e40.png)
您最近一年使用:0次
2022-10-16更新
|
959次组卷
|
6卷引用:考向36 直线与圆锥曲线最全归纳(十六大经典题型)-1
名校
解题方法
5 . 已知.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f161c2a3717f1b6c62d0d7dae0b606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4753d6d46da2936d6e0d963b94efc02c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3abd318e7b51e3b16cd57b636e3b429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ca77a28ce8ce797a1b1bb3c465dcd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a458f4716b7fb99418d762909eecab11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c0309456de2cd6420ece4fbc5eeddb.png)
您最近一年使用:0次
名校
解题方法
6 . 已知关于x的函数
和
.
(1)若
,求x的取值范围;
(2)若关于x的不等式
(其中
)的解集
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce81be7dbac1bd6ad7b3b6be3c2d423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28b848513cf03ef4bd4bddfd49800f6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df86b0da538701c08fb214608e062372.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e74c814429bbef147280ecd517ffd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e419fd930ea3b349e70d35de4380cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e383eff7191e3bbe549027ef71382aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b3185579edda8ea518daf2be3e0d30.png)
您最近一年使用:0次
7 . 定义一种新的运算“
”:
,都有
.
(1)对于任意实数a,b,c,试判断
与
的大小关系;
(2)若关于x的不等式
的解集中的整数恰有3个,求实数a的取值范围;
(3)已知函数
,
,若对任意的
,总存在
,使得
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2671f593186fa00f17ad26eba7b8f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8c23336002eb5d7c478479fcda799f.png)
(1)对于任意实数a,b,c,试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fda9c56c7993236c0ebdfe08d110ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98e8a20e1e3d328265269df6b2927ad.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80fef6a2dd7e822d83ae45ea79a5357.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fc1f7733bebb86885b6e6fd0534e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8b60555f0d82c386c5b935c23ff952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12965bbc260bdbb0df0a110e59fb8d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93bf66ef253242900ca1702121238b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52dc0bb1b1d25a0e86babc0edc627e44.png)
您最近一年使用:0次
2023-07-11更新
|
528次组卷
|
3卷引用:专题11 对数及对数函数压轴题-【常考压轴题】
名校
解题方法
8 . 已知函数
给出下列四个结论:
①若
有最小值,则
的取值范围是
;
②当
时,若
无实根,则
的取值范围是
;
③当
时,不等式
的解集为
;
④当
时,若存在
,满足
,则
.
其中,所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff4e0cfa86f6d91ff0b3cdb3251393b.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6cc71d0c988d725b25c55c2672919c.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976d18a5396ba232f0aa38d136f1d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1606791e5eeefbf298210543e01dd4.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5bcfb3bafe8373dd907e0e55d08f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168fef6477a494abceae56fb6c2e4c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339de01d9636343c484391b421c31301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ec808ad60dbf016632ec816eaca1df.png)
其中,所有正确结论的序号为
您最近一年使用:0次
2023-11-02更新
|
833次组卷
|
5卷引用:专题1 分段函数问题(过关集训)(高三压轴题全攻略)
名校
解题方法
9 . 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)
您最近一年使用:0次
名校
解题方法
10 . 已知
的解集是
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a3619ccbcf65312754a970647014e5.png)
A.不等式![]() ![]() |
B.![]() ![]() |
C.若![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-07-16更新
|
2564次组卷
|
15卷引用:第三章 函数(单元测试)(能力卷)-高一数学同步精品课堂(人教B版2019必修第一册)
(已下线)第三章 函数(单元测试)(能力卷)-高一数学同步精品课堂(人教B版2019必修第一册)(已下线)专题03 不等式与基本不等式的应用(3大易错点分析+解题模板+举一反三+易错题通关)(已下线)专题02 函数及其应用、指对幂函数(5大易错点分析+解题模板+举一反三+易错题通关)辽宁省协作校2021-2022学年高二下学期期末考试数学试题辽宁省辽阳市第一高级中学2021-2022学年高二下学期期末数学试题黑龙江省牡丹江市第一高级中学2022-2023学年高一上学期10月月考数学试题河南省南阳市第一中学校2022-2023学年高一上学期第一次月考数学试题黑龙江省齐齐哈尔市第一中学校2022-2023学年高一上学期期中数学试题2.3 函数的单调性和最值--2022-2023学年高一数学北师大版2019必修第一册(已下线)专题2.9 一元二次函数、方程和不等式全章综合测试卷-提高篇-2022-2023学年高一数学举一反三系列(人教A版2019必修第一册)江西省宜春市宜丰县宜丰中学2022-2023学年高一上学期第3次月考(12月)数学试题福建省宁德市福鼎市第一中学2024届高三上学期第一次考试数学试题辽宁省大连市第八中学2023-2024学年高一上学期期中数学试题河南省豫南六校2022-2023学年高一上学期期中联考数学试题(A卷)河北省沧州市泊头市第一中学2023-2024学年高二下学期6月月考数学试题