名校
1 . 如图,平面四边形
中,
,
,
,
,
.
(1)求
;
(2)设
,求
、
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25936291abb6432ed5a710ebf0ea195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb8e20db1fbb40f17dea52f951b907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf7679c8b4b1e442ce4286d4b0e9c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e814fcecbec011c381d58e4823be3854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21af912f96b3e63e5642ea4840d58760.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf2d39a965604b748811d9dff1cfdb8.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8697cfeb144745ecff0dc02ba343ff17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/10/67b0b7db-97ea-415d-b1ac-db387df7516f.png?resizew=205)
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名校
2 . 已知
,
,记函数
.
(1)求函数
的最小正周期及最值;
(2)当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038ff695d1ec6b1887b164612dc14c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e43e94d4305484b3fa4d4ffc246ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f3e5dd16d97454650c0b179661d5154.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65151169cae0cb9c70ba6192d7849fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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3 . 函数
的一段图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/96b95bff-5d90-4dad-b533-78c553abc7e1.png?resizew=192)
(1)求函数
的解析式;
(2)将函数
的图象向右平移
个单位,得到
的图象,求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f94f56f9450fd4f9ec62e41ccd73aca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/96b95bff-5d90-4dad-b533-78c553abc7e1.png?resizew=192)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
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4 . 已知平面向量
,
,
.
(1)若
,求
的值;
(2)求
在
上的投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bdc0ce4bca80e27b8c8f176a638622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1974a0110ec4f842f86fa3c3c2658a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667a2fd69f066342cb45067fd1282ea8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db24c6752d12516ead563533206be6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441b83f50b3a9452693467b342b7ab04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1c1dd6b13d92f2cc2eef097e14c07c.png)
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2021-08-25更新
|
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2卷引用:江西省景德镇一中2020-2021学年高一下学期期中考试数学(理)试题
名校
5 . 已知
,
,求下列各式的值.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f45ba4f6e46eaa4aaf03f66175b07b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c4266f962def23c1dc0bd66a502912.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8aaf830ba8ed8a772923d908ee966e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9173ad5f6a51ca5afa1355d4b6bfa497.png)
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2021-08-25更新
|
1318次组卷
|
10卷引用:江西省景德镇一中2020-2021学年高一下学期期中考试数学(理)试题
江西省景德镇一中2020-2021学年高一下学期期中考试数学(理)试题湖北省武昌实验中学2021-2022学年高一上学期12月月考数学试题山东省德州市第一中学2021-2022学年高一上学期期末数学试题(已下线)专题5.2 三角函数的概念-《讲亮点》2021-2022学年高一数学新教材同步配套讲练(人教A版2019必修第一册)山东省济南市济南第三中学2022-2023学年高一上学期12月月考数学试题河北省定州市2022-2023学年高一上学期期末数学试题黑龙江省佳木斯市第八中学2021-2022学年高一上学期期末数学试题(已下线)期末精确押题之解答题(40题)--《考点·题型·难点》期末高效复习江苏省苏州市江苏外国语学校2023-2024学年高一上学期12月月考数学试题(已下线)第25讲 同角三角函数基本关系式及诱导公式6种题型总结-【同步题型讲义】(人教A版2019必修第一册)
6 . 已知函数
其中
为常数,
,若
,对任意
恒成立,且
.
(1)求
的值;
(2)若不等式
,对于
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2626a5bdd100424d2416a665ba0e9518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5696ca5a83109c3853e9caa3a1da6aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1792fb736f4f81b885e7ecb4722bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92c92e07a25dd17830fc07eedf2e75c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febe96d93e682814d2fb54b1f63ade0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7aae31fcffc2763595ad19fc55a497d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . (1)用列表描点法画出
,
的简图;
(2)结合函数
的图象,若方程
,其中
有两个实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23554b9e529f6fcd02c751f4e8928595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b604c6522119e77c1cb16b91532a2c1.png)
(2)结合函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b604c6522119e77c1cb16b91532a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . (1)已知
为第三象限角,化简
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7236e0309e0e96f5643772e56a98b0f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782aa961bf48274ae1d940a4ef87eed2.png)
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解题方法
9 . 已知角
的终边经过点
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ff6d3718a07a833a5f0cbd6aa6f91c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c38e55591f4836d3f5c43ea35f6879a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a8db0f43210d04c9e901320917231c.png)
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10 . 已知函数
.
(1)求函数
的单调递增区间;
(2)若关于
的方程
在区间
内有两个不相等的实数根
,记
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4382c4b9a01989e76d5112b44ff71dad.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763408463798272/2764329415720960/STEM/b1feebabc9dd4728b9c9b1e658db78c2.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8b52b5cf83a7b87de6317d74e57ef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543d2ff91c1e16a8082c2330ad1c3a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be07753eab86fa9c439a65db51c9a9e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49922764e0de4176fda930cae2bb658f.png)
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763408463798272/2764329415720960/STEM/6dd38b681dfc42bea1c0cb3062e28902.png?resizew=9)
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