1 . 利用单位圆和三角函数线.
(1)证明:
,其中
;
(2)已知
,解不等式组
.
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783a94fe87b6aa7ca9258d5fbbcc3cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65b6c42393fae47c51101713167ff71.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e154ff4d600e93e8d75e74da6fa7ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950d95434032a9eefd474099e69824ea.png)
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名校
解题方法
2 . 已知
.
(1)化简求值:
;
(2)若
是第一象限角,
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a7de5b70003502e40b95b3b7d3d933.png)
(1)化简求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e42b0988b6a77308e1c40b5c7952286.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a009ce821e3add1f56315dd54826307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3021f9719c6a631749fee36955628ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f0e600535277a425ac7f16317b12b0.png)
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2024-01-27更新
|
877次组卷
|
3卷引用:湖南省长沙市周南中学2023-2024学年高一上学期期末考试数学试题
湖南省长沙市周南中学2023-2024学年高一上学期期末考试数学试题(已下线)5.5.1两角和与差的正弦、余弦、正切公式(第1课时)四川省内江市翔龙中学2023-2024学年高一下学期第一次月考数学试卷
名校
解题方法
3 . 化简下列各式并求值:
(1)
;
(2)已知
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b8525e7510ff9ea1f06579a182ff7c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f45a9b37ba7447d617428f7183eab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d652b69fbe1d6757b72169730f0fcfde.png)
您最近一年使用:0次
2020-08-04更新
|
810次组卷
|
3卷引用:湖南省衡阳市2019-2020学年高一下学期新高考选科摸底考试数学试题
4 . 化简与求值.
(1)
的值
(2)已知
,求
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4b0b4712d9e7ea7aa2a4003cf1679f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff8e8f399db20c51e878b2b4b134793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
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5 . 已知
且对任意
,不等式
无解,当实数
取得最大值时,方程
的解得个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee6a07adbd93c4d2455c69e82bdf30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77af8a15bd425cee0fd4479371bbc538.png)
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6 . 已知函数
,其中
.
(1)若方程
在
上至少存在8个解,求
的取值范围;
(2)若函数
在
上为增函数,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f205ba9f510efe05b453d2d20cc7fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04b2fa62cb0e22d7268848987abc0c4.png)
(1)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8085e36d6cb14b47a65e70024d41a7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53496ae2397150370142b5195a1a39c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221979676825028a74680f56f69c98be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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7 . 已知函数
的图像与
轴的相邻两交点的坐标分别为
,
,且当
时,
有最小值.
(1)求函数
的解析式及单调递减区间;
(2)将
的图像向右平移
个单位,再将所得图像的横坐标伸长为原来的
倍(纵坐标不变),得到函数
的图像,若关于
的方程
在区间
上有两个解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a76bdf97643f862a92c019d216e9805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4532879711babba5dedf6bcea14a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53127d62a46346eb12b9c8286384389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562fc0d2571ed26e29e8a04597e0fe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16a2f95a53836c8ecaa329b5a2b821d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ce5b925d9b7a94ad30b848e647a84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 已知函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/4b3984b9-b0f5-4b48-93a9-e18092775b4c.png?resizew=171)
(1)求函数
的表达式;
(2)将函数
的图象向左平移
个单位长度得到函数
的图象,若关于
的方程
在
上有实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54466356bef3e69df741da4983ced0dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/4b3984b9-b0f5-4b48-93a9-e18092775b4c.png?resizew=171)
(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/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e4dec3ca3276932ad20ed702b5919d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-02-06更新
|
1103次组卷
|
5卷引用:山东省烟台市2019-2020学年高一上学期期末数学试题
名校
9 . 已知函数
.
(1)若
是函数的一个零点,求a的值及所有零点构成的集合;
(2)当
有实数解时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4fc0cc52cc4b242be41dfdd6259ea74.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43425e58b99045f5034bfde95219999a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43b17b69beed3b167782512fbf5e773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知函数
,
.
(1)作出函数
的图象;
(2)求方程
的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1152dac89a5550489f036c7c59fc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37440b57fe2ffc13f2a873e38f55d29b.png)
(1)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1a4f3d0f4f608ea4e8481843d19429.png)
您最近一年使用:0次
2020-01-14更新
|
619次组卷
|
2卷引用:江苏省盐城市滨海县2019-2020学年高一上学期期末数学试题