名校
解题方法
1 . 角
的始边与
轴的非负半轴重合,终边与如图的单位圆交于点
,将射线
绕点
按逆时针方向旋转
后与单位圆相交于点
,设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/db428da3-e9cd-43bb-9487-2fa4b93d9111.png?resizew=176)
(1)求
的值;
(2)若函数
的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c663466d641b5fdfef1e529d6c330ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166afeb61d5a80366a8ae29c912cd644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11cf11def6bed5e2d57bfd2f26a7f69d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/db428da3-e9cd-43bb-9487-2fa4b93d9111.png?resizew=176)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc10e023f4f70f39dd3da52874ba616.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead294ae4c89c2f8b8c3a2cab18736a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4948adb65d30bc200d0d5d43cd377781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bc7ad501e5c50e1e2da3e896488422.png)
(1)求
,并作出函数
在
的图象;
(2)求函数
在区间
的最值及对应的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dedb4f3f79624bc312ce1c9aa8ea1c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c9e46448bc791c441ca02d8f4508eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bc7ad501e5c50e1e2da3e896488422.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd1884fb98091729de65264ee9b5890.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd1884fb98091729de65264ee9b5890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
3 . 已知函数
为奇函数,且
图象的相邻两对称轴间的距离为
.
(1)求
的解析式与单调递增区间;
(2)已知
在
时,求方程
的所有根的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef3d9831a20f8ebb11c66810fb7e0f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860e9a1b29808b2954f92f8576f89021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7281045a06135042e28fbf0fba23bbbd.png)
您最近一年使用:0次
4 . 在平面直角坐标系中,已知角
的终边与单位圆交于点
,将角
的终边顺时针旋转
后得到角
,记角
的终边与单位圆的交点为
.
(1)若
,求
点的坐标;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652651136a95eafad5a07690b5912808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea4192f147649b664a03c0bcc045f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a223a7ba1bcb918556408a3d650faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74ac7e5c19155902d314b929c6ede45.png)
您最近一年使用:0次
解题方法
5 . (1)计算:
.
(2)已知角
的终边在直线
上,求
,
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c5c1c820cd8878211aa71726015ca5.png)
(2)已知角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a9b769d70cb6f29e965c800921c8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
您最近一年使用:0次
名校
解题方法
6 . 如图,在平面直角坐标系中,锐角
的终边分别与单位圆交于
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/623b6ccf-4b5a-43ce-9911-89c8ca3b010c.png?resizew=168)
(1)如果
,
点的横坐标为
,求
的值;
(2)设
的终边与单位圆交于
均与
轴垂直,垂足分别为
,求证:以线段
的长为三条边长能构成三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/623b6ccf-4b5a-43ce-9911-89c8ca3b010c.png?resizew=168)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aeb448d0392a08f89781e63b49cd3da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954795d1842974a705f9468f3b952ab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bc6ce7e631bcd313e0f30a13e47f5a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473ca6eb58473c449af9f3671c793733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fc107c4b33d6dd648b396156494ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4800e4284cd62d449987a7c714810521.png)
您最近一年使用:0次
解题方法
7 . 已知函数
,其中
为三角形的内角且满足
.
(1)求出角
.(用弧度制表示)
(2)利用“五点法”,先完成列表,然后作出函数
,在长度为一个周期的闭区间上的简图.(图中
轴上每格的长度为
轴上每格的长度为1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57c72db976d0fe2f8edb3cf3db9f47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b21fe9afffa5e17e101ce87a9376c5.png)
(1)求出角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)利用“五点法”,先完成列表,然后作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57c72db976d0fe2f8edb3cf3db9f47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626504634b426b5bd86ae5ca22f9a271.png)
![]() | 0 | ![]() | |||
![]() | |||||
![]() |
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/c603f4fe-efc2-43ba-9141-7ef5c7aa8d8c.png?resizew=233)
您最近一年使用:0次
2023-12-14更新
|
522次组卷
|
6卷引用:福建省厦门市杏南中学2023-2024学年高一上学期12月月考数学试题
福建省厦门市杏南中学2023-2024学年高一上学期12月月考数学试题(已下线)5.6 三角函数图像的综合应用(AB分层训练)-【冲刺满分】(已下线)专题05 三角函数3-2024年高一数学寒假作业单元合订本(已下线)专题21三角函数的图象与性质-【倍速学习法】(人教A版2019必修第一册)(已下线)第七章 三角函数(7大易错与3大拓展)-单元速记·巧练(沪教版2020必修第二册)(已下线)7.3.1正弦函数的性质与图像(2)-同步精品课堂(人教B版2019必修第三册)
名校
解题方法
8 . 已知角
的终边过点
,且
.
(1)求
的值;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e00d260b97e7364ba94fc75fbcb473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a892dbcef7934d97016bb190d94e0bc3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db98117e8f271ef8023838de02f7459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d0abf7c25f41dad3052c5e6cd9d04e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3884b343d76a26b4b85b48987d7064.png)
您最近一年使用:0次
2023-12-11更新
|
1686次组卷
|
7卷引用:福建省厦门市厦门大学附属科技中学2023-2024高一上学期12月阶段测试数学试题
福建省厦门市厦门大学附属科技中学2023-2024高一上学期12月阶段测试数学试题广东省北京师范大学珠海分校附属外国语学校2021-2022学年高一上学期期末模拟数学试题(已下线)第五章 三角函数单元测试(巅峰版)-【冲刺满分】(已下线)专题19三角函数的概念-【倍速学习法】(人教A版2019必修第一册)(已下线)专题08 两角和与差的三角函数-【寒假自学课】(苏教版2019)新疆和田地区皮山县高级中学2023-2024学年高一上学期期末数学试题浙江省杭州绿城育华学校2023-2024学年高一上学期期末考试数学试题
9 . 在平面直角坐标系xOy中,角α以Ox为始边,它的终边与单位圆交于第二象限内的点
.
(1)若
,求
及
的值;
(2)若
,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5db997a564576c9067442272a1815a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb497ea9b1b7a8bb262b8b268048d48.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b4cab645c97f6d1710f803ef6a8436.png)
您最近一年使用:0次
2023-12-08更新
|
1370次组卷
|
5卷引用:福建省福州市闽侯县第一中学2023-2024学年高一上学期第二次月考数学试题
福建省福州市闽侯县第一中学2023-2024学年高一上学期第二次月考数学试题黑龙江省哈尔滨市第九中学校2023-2024学年高一上学期12月月考数学试卷浙江省杭州市富阳区实验中学2023-2024学年高一上学期12月月考数学试题山东省邹城市第二中学2023-2024学年高一上学期12月月考数学试题(已下线)专题07 任意角、弧度制、三角函数概念及诱导公式2-期末复习重难培优与单元检测(人教A版2019)
名校
解题方法
10 . 已知
,且
是第三象限角.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809bf325825f1b3e08bbe37b3b209255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1513a2be1efd12b9acc88f7fff270ee8.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a386878165113cdfa40d37bc1109d2a.png)
您最近一年使用:0次
2023-11-28更新
|
1905次组卷
|
6卷引用:福建省莆田第二中学2023-2024学年高一上学期12月阶段检测数学试题