名校
1 . 记
的内角
的对边分别为
已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b45e8ab6a60cf2f5dacd2f8e1922eb2.png)
(1)求角C的大小;
(2)若D是边AB的三等分点(靠近点A![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f231f1180506385a590e8a74f4d75f0f.png)
,设
,
①用
及
表示
;
②求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832a6ae04b25ef0896bd607cdcda60ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b45e8ab6a60cf2f5dacd2f8e1922eb2.png)
(1)求角C的大小;
(2)若D是边AB的三等分点(靠近点A
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f231f1180506385a590e8a74f4d75f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edb59103f296751ddb45a1139034897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/763cfa01bfe566d183882df89f87eda5.png)
①用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c870ef83e4e9eb140594ffdd7f5600a.png)
②求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
解题方法
2 . 在锐角
中,角
所对的边分别为
,且
,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a587bfa37f8d83bbcce40ab15a83b7d.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024高三下·全国·专题练习
解题方法
3 . 若定义在A上的函数
和定义在B上的函数
,对任意的
,存在
,使得
(t为常数),则称
与
具有关系
.已知函数
(
),
(
),且
与
具有关系
,则m的取值范围为_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949c0be52082aed7e1fecd109f92aebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05fb49e2f9b277ac6d36089e798b729a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8f69402300f6ed932697689212e91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b25b64c193fd75fa99c8f87962a9332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c473162ab7c1214caca7252d42d0ca06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a0677b53ef68e17624673a24015b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41b85f6960a2a4f988e5ddd9ef48d0e.png)
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2024高一下·上海·专题练习
名校
解题方法
4 . 如图,
,
是单位圆上的相异两定点
为圆心
,且
为锐角
点
为单位圆上的动点,线段
交线段
于点
.
结果用
表示
;
(2)若
.
①求
的取值范围;
②设
,记
,求函数
的值域.
![](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/bd109d3cea698760b0d5edb65bd6f241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8fbf1acaacf8e9bb3aff495d4f732a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913b7537e011acfeec11952731351388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36df2ad9c36e4df0d626f2618e842abe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72bf0fce80daad394f2a9d013829c5c.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6da9ea780ba5e54f3be57b4a7bb12b1.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c52debaee90830375fbfd15cf1ea35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7efab43171f12140ce67bb974f203d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb17843c51402a1f7cd9b07542597b9.png)
您最近一年使用:0次
2024-04-10更新
|
482次组卷
|
3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)广东省佛山市顺德区华侨中学2023-2024学年高一下学期3月月考数学试卷重庆市第八中学校2023-2024学年高一下学期4月阶段练习数学试题
名校
解题方法
5 . 已知
,其中
,
都是常数,且满足
.
(1)当
,
时,求
的取值范围;
(2)是否存在
,
,使
的值是与
无关的定值?若存在,求出
,
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532a8c3a44b1fab73dff11ddd96f84f6.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/ce86a9b5b4401c1b43ae52333e19b2c5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea81da7f8471a097675421508bb5f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1291e6ed6d42d5f71625ba7bca78b686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
(2)是否存在
![](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/5224a7da7fe6bc28971ce4c277f88588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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解题方法
6 . 已知函数
与函数
的部分图象如图所示,图中阴影部分的面积为4.
的定义域;
(2)若
是定义在
上的函数,求关于x的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b557e331150cb0a3c918adae5f12010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5ea6b3a1e7f9a0830a7e6806bd474f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228b8b1bde2b19fba3004431bae9b38c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4677729da1d685167328accb5001f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a54f358cd67308b3cd4a7f7d204d181.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,在矩形
中,
,点
分别在线段
上,且
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5203b16524b496a7272b5735aad23ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64d3311a2bb737e151961dcb72692dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59809f2fa9ce4c833cdf5fe102feb8d8.png)
您最近一年使用:0次
2024-03-21更新
|
1717次组卷
|
4卷引用:2024届辽宁省高三二模数学试题
8 . 已知函数
,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dab5e541a245a67a2665f8aff4c4513.png)
A.![]() | B.![]() |
C.函数![]() | D.函数![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知函数
.
(1)求
的解析式;
(2)求不等式
的解集;
(3)若存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035743589d3cdbe21bdd660ede3b3755.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5300590ff3ed47179909171816b56fc6.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce426a8dba7e08538d7b68bc1076d9a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-10更新
|
193次组卷
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2卷引用:广西百所名校2023-2024学年高一下学期开学考试数学试题
名校
10 . 已知函数
为奇函数.
(1)求
的值;
(2)若
在
上恒成立,求实数
的取值范围;
(3)设
,若
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38371ea57658e033f41ddf5e51c91f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6278327c9a9968d1169ce3a125f2d3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7591504e793baf519c8b0e3ea8bfc508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e47d4c4c6d534d98138e98474804ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-02-29更新
|
1057次组卷
|
5卷引用:河南省许昌市2023-2024学年高一上学期期末教学质量检测数学试题
河南省许昌市2023-2024学年高一上学期期末教学质量检测数学试题上海市金山中学2023-2024学年高一下学期3月月考数学试卷辽宁省抚顺市第一中学2024学年高一下学期尖子班4月月考数学题江西省景德镇市乐平中学2023-2024学年高一下学期4月期中考试数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)