名校
1 . 已知函数
,
.
(1)求函数
的值域;
(2)设函数
,证明:
有且只有一个零点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d770179a24541b9d811da5d944cdfa5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4f3c214da1a20a9ccd33b224531829.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5066adf9157eb0385dc86a44479d91af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112d3c32a1a43115e1f57a7c910a7840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823a11fc7541e66fb15b95884ce476ee.png)
您最近一年使用:0次
名校
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd8331d5ac755a3e6a7199f7009b87b.png)
(1)求方程
在
上的解集
(2)设函数
,
.
①证明:
在区间
上有且只有一个零点;
②记函数
的零点为
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd8331d5ac755a3e6a7199f7009b87b.png)
(1)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4dc99c6b418baf1c3fe26dc43ed9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ed89ab8263c8b8395936f3f062c432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa004bb9f1f0272f436081ebf431c283.png)
①证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5a90aeba435af22d6bcdb7b91650b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68d62482d548bcd517188178fd36bc3.png)
②记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5a90aeba435af22d6bcdb7b91650b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c9cec8a8c34da83e265ab7ce8b1281.png)
您最近一年使用:0次
2024-03-27更新
|
330次组卷
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2卷引用:辽宁省大连市第二十四中学2023-2024学年高一下学期5月期中数学试题
3 . 已知向量
、向量
、向量
,其中
.
(1)求证:
;
(2)设函数
,求
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4352ee613a54dfb490a8f5f15168215f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f24da204ce64046ce68248c8a82d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f343b247707352ff51723fb9aef16a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc712ef9309d018fa58b86de657d6a45.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f694e42b337503dfb7466a3da23ab4.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea46fd6339d369a098adc6d8206d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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4 . 已知函数
,且
、
.
(1)求
、
的值及
的最小值;
(2)若
,
且
、
是方程
的两个根,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2f33415f50b072d83edfddb6635f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46305fedfb17a208a8b4cab7ebceddfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d69228e9ed54d74ace760c65d19fd8.png)
(1)求
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a66b9450a986e655d57d92f5da0991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d1ce3ad14256b1543e6007ff1675d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a048c77ba546fd52ba4a73db53f092e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fcaa5198ccc93f5e9545316e92f5dcb.png)
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解题方法
5 . 如图所示,在四边形
中,
,
,
,
,
,点
为四边形
的外接圆劣弧
(不含端点
、
)上一动点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/a6b6be35-c5eb-4e43-8e5a-f0a4fca79c6d.png?resizew=144)
(1)判断
的形状,并证明;
(2)若
,设
,
,求函数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68918379531894442f55c7257549ea33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f028b10ae7e2a83316c077cdccd6ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc2f5f6d9efe3852a2329ea927abcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb3820bab977db734f4335e4fde720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/a6b6be35-c5eb-4e43-8e5a-f0a4fca79c6d.png?resizew=144)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bc3a2e6d7870db2497d1a2f3b15e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9ab5a9114daaa0fd3f6c5f1885f90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038bd8c95ff3649e957b67036207fbe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
您最近一年使用:0次
6 . 在①
;②
这两个条件中任选一个,补充在下面问题中.
在
,角A,B,C的对边分别为a,b,c,且 .
(1)判断
的形状并给出证明;
(2)若
,求
的取值范围.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e02e6946143207c276f7430942c1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7ec9f2a433a1fe1975b221025a4be5.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe05083b4f23c15bf5616abd4a43c57e.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
7 . 如图,AB为半圆O的直径,
,C,D为
(不含端点)上两个不同的动点.
(1)若C是
上更靠近点B的三等分点,D是
上更靠近点A的三等分点,用向量方法证明:
且
.
(2)若
与
共线,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/25/4c6c359a-3702-4efd-8ec6-4d9401c2745d.png?resizew=160)
(1)若C是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9204fa555e4c2945323c6c49116ccfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e869edfbae384c11836b90cceb2773.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a783e5ffcf7a4ea9e531ea76199487.png)
您最近一年使用:0次
2023-06-20更新
|
394次组卷
|
5卷引用:辽宁省抚顺市重点高中六校协作体2022-2023学年高一下学期期中考试数学试题
辽宁省抚顺市重点高中六校协作体2022-2023学年高一下学期期中考试数学试题(已下线)第05讲 平面向量的应用-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)6.4.1平面几何中的向量方法+6.4.2向量在物理中的应用举例【第三课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第6.4.1讲 平面几何中的向量方法-2023-2024学年新高一数学同步精讲精练宝典(人教A版2019必修第二册)(已下线)高一下学期期中复习解答题压轴题十八大题型专练(1)-举一反三系列(人教A版2019必修第二册)
解题方法
8 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6509426a31d333c1bdec74e6b8ce00d.png)
(1)说明函数
的图像是由函数
经过怎样的变换得到的;
(2)函数
,求函数
的值域,并指出
的最小正周期(不需要证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6509426a31d333c1bdec74e6b8ce00d.png)
(1)说明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325f9e2f7784ebdd64292e805884dfa9.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d77a1e43bb2d1a958c23c9f935267e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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2022-07-13更新
|
1222次组卷
|
5卷引用:辽宁省五校联考2021-2022学年高一下学期期末数学试题
辽宁省五校联考2021-2022学年高一下学期期末数学试题第五章 三角函数(A卷·基础提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(人教A版2019必修第一册)(已下线)期末专题02 三角函数5.4-5.7大题综合-【备战期末必刷真题】(已下线)第5章 三角函数(基础、典型、易错、压轴)分类专项训练(1)(已下线)第30讲 三角函数解答题7种常见题型总结(1)-【同步题型讲义】(人教A版2019必修第一册)
名校
9 . 已知
,对任意
,
都有
,
.
(1)求
的值;
(2)证明
;
(3)若
的最大值为8,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592744129d3499498fee320ae874645e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461af8f960bc02af4ee7f438cd9936c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcff22dafb5b38b5fc5ec149c06550d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b57d593dcd0005b6dcbce8a3b84bdf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7165c012456e5fe91f2f8eb0a7df3ef.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2c4e672cfe785d0f58d81b8f2eeb85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
10 . 若存在
使得函数
和
满足
,则称函数
为
的
型“同形”函数.
(1)探究:若
,
,是否存在
,
使得函数
为
的
型“同形”函数.若存在,求出a,b的值并证明;若不存在,说明理由;
(2)在(1)的条件下,函数
,若对任意的
,不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579718cbaa219ec0f357ffd4b5cee2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
(1)探究:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff8704285d8c14ae2bd82f9196501c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf11c8e070257c983f78b1f41d09217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04dea3c58a0226804940ae851497c6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
(2)在(1)的条件下,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bf24d6e6948eaeebd194aeaa6a0072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47dd531e030ca62dd7c037a3849f1419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe5c71e2ccb6f520eec38df7083a1d2.png)
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2022-01-03更新
|
1093次组卷
|
3卷引用:辽宁省大连市第八中学2021-2022学年高一下学期6月月考数学试题