名校
解题方法
1 .
的内角
的对边分别为
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df2aa5ec7101c7dd355f0cab6f4fe31.png)
(1)求B;
(2)若
,试判断
的形状;
(3)若
,求锐角
的面积的取值范围.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df2aa5ec7101c7dd355f0cab6f4fe31.png)
(1)求B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02746ec8e4220d8b4a174d5e9a711ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
2 . 已知锐角三角形
的内角A,B,C的对边分别为a,b,c,且
.
的大小;
(2)若
,角
与角
的内角平分线相交于点D,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21e3771bbb5e054c8df0c4d4c0462e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.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/ab2a2834d80ff574e79eae8ca8d4e94f.png)
您最近一年使用:0次
2024-06-15更新
|
243次组卷
|
2卷引用:吉林省长春市第二中学2023-2024学年高一下学期第二次学程考试(6月)数学试题
名校
解题方法
3 . 记
的内角A,B,C所对的边分别为a,b,c.已知向量
,
.
(1)设单位向量
,若
与
共线,且
,求A;
(2)当
且
为斜三角形时:
(i)若
,求B;
(ii)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f764b13bea2c7a47910f4dae02466bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d8b2c3e79306d15f79decd22e1309b.png)
(1)设单位向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7cec07bda4ce25be78389d554134c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c778a27e4c7bbc16611c9bedec6e1f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8a88a16125366536cb4ad658e0cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36ec31cfd615abfbee3ed2f4a1d8883.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cb5138a03b19266f82223899a614f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(i)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711c8ba16405959bcb0b70385da1d89.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413323ab92f73c1eabb235731bb5c399.png)
您最近一年使用:0次
4 . 已知向量
,
(
,
),
,且
的图象上相邻两条对称轴之间的距离为
.
(1)求函数
的解析式,并求
在区间
上的值域;
(2)若
,且函数
在区间
上单调,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d96761a05937988e75cf120625a9e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbc3f788067cbb6351960ebd3c64739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb10af36f1270bb50eb298e1a886cb21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0b1b34a0cb69bd9e0a4622b6352968.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12643830ce7e47509bfaddcb4b310c54.png)
您最近一年使用:0次
名校
5 . 在锐角
中,角
所对的边分别是
.已知
,
.
(1)求角
;
(2)若
是
内的一动点,且满足
,则
是否存在最大值?若存在,请求出最大值及取最大值的条件;若不存在,请说明理由;
(3)若
是
中
上的一点,且满足
,求
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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64962ad7ac80b078a676e70bad4ce6e.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b70494b72a951263128f2961992b9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136cdd691e63a13b934567ddd7642d85.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8245244d6c3a1e703fb7f658defd8277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a732126df5fa76243880cc9e10cc97fd.png)
您最近一年使用:0次
2024-05-06更新
|
422次组卷
|
3卷引用:吉林省通化市梅河口市第五中学2023-2024学年高一下学期6月月考数学试题
吉林省通化市梅河口市第五中学2023-2024学年高一下学期6月月考数学试题浙江省宁波市五校联盟2023-2024学年高一下学期4月期中联考数学试题(已下线)贵州省贵阳市南明区部分学校2023-2024学年高一下学期6月联考数学试题
名校
解题方法
6 . 在
中,内角
所对的边分别为
,且
.
(1)求角
的大小;
(2)若
为锐角三角形,点
为
的垂心,
,求
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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d732c779d8ae445a672684a0d69f7ac.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56512504254ab7f574a717dd6830fb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8dffd659bc657c01cb8cf07591d805.png)
您最近一年使用:0次
2024-04-12更新
|
619次组卷
|
4卷引用:吉林省白山市抚松县第一中学2023-2024学年高一下学期4月月考数学试题
名校
解题方法
7 .
的内角A,B,C所对的边分别是a,b,c,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a406f8d271f695f308499e33a5894a.png)
(1)求角B;
(2)若
,角
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a406f8d271f695f308499e33a5894a.png)
(1)求角B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213d27b2759dbb7fde98a586ce7514ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
您最近一年使用:0次
名校
解题方法
8 . 已知
,
,且
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bfdb5f50c0514b2b7cb83b2c29407b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f07029c97c324d32f258f18a96654a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43d0a28df7d4bb97a36e061a651c981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a18cb2ff6e76b1e76e511c85a6fac39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db796b223b35e52aa7b4114da8072f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-02更新
|
594次组卷
|
4卷引用:吉林省东北师范大学附属中学2023-2024学年高一下学期阶段验收考试数学试题
吉林省东北师范大学附属中学2023-2024学年高一下学期阶段验收考试数学试题(已下线)模块二 专题4 三角恒等变换中策略问题(苏教版)甘肃省兰州第一中学2023-2024学年高一下学期4月期中数学试题(已下线)专题04 三角恒等变换-期末考点大串讲(人教B版2019必修第三册)
名校
解题方法
9 . 已知
,
,其中
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852fa088d3b348c8a418ab5c3b977ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c711885ba609af63b3f02b7074914ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71342cb381e3ea133c1495804b7fa5d2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a503b050e957332b7eb94dff7893b182.png)
您最近一年使用:0次
2024-03-27更新
|
287次组卷
|
4卷引用:吉林省长春市东北师范大学附属中学2023-2024学年高一下学期5月期中考试数学试题
吉林省长春市东北师范大学附属中学2023-2024学年高一下学期5月期中考试数学试题广东省佛山市顺德区2023-2024学年高一下学期3月月考数学试题(已下线)第四章 三角恒等变换章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)(已下线)4.3 二倍角的三角函数公式(2)-【帮课堂】(北师大版2019必修第二册)
名校
10 . 已知函数
.已知
的最大值为1,且
的相邻两条对称轴之间的距离为
.
(1)求函数
的解析式;
(2)求
在
的单调递增区间;
(3)将函数
图象上的点纵坐标不变,横坐标变为原来的
,再向右平移
单位,得到函数
的图象,若
在区间
上的最小值为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c4a85c24a0f08486bfe8448dc68e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3f7f762131c77a3c8440b4a3bc1d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6181ea7339144345677568a7fd485f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次