解题方法
1 . 已知函数
.
(1)若
,求
的图象在点
处的切线方程;
(2)若
在
上单调递减,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35855fa60c68578b78cee2ed3769dcfb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d06e33d079ac1649ee5eea8f61de7cf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f0a7f52eb82472cce50381cbed1c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7日内更新
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2卷引用:河南省濮阳市2023-2024学年高二下学期期末学业质量监测数学试题
名校
解题方法
2 . 化简:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65da42c0fb5035d6e67f2ab1441e63ea.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2325757d5ea606b0e050c44f33014c.png)
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3 . 计算下列各式的值.
(1)
;
(2)
且
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10b9c76ca7fef1e75756338d2591d88.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5275acda688320ba57ceac2770bf9228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
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名校
4 . (1)计算:
;
(2)已知
,求
及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a171cb2875191c5900af70c60f59ec.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0666cbe081eb4ae1c2e4fd96b1cdc37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ae49451ecb6c50998bcb28c3e0da4f.png)
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2024-03-19更新
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2卷引用:江西省庐山市第一中学2023-2024学年高一上学期期末考试数学试题
5 . (1)计算:
;
(2)已知正数a满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2bed69bfad4e284596a3af04e0d3ae.png)
(2)已知正数a满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8c22466b8236be53606dc5764a2915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0666cbe081eb4ae1c2e4fd96b1cdc37.png)
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2024-03-07更新
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2卷引用:湖南省部分学校2023-2024学年高一上学期期末联考数学试题
6 . 计算下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847b092108a46a0b9f2f2a463b23946a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0ac518d8e161d490ee56b66ebf24f7.png)
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2卷引用:湖南省长沙市长沙县2023-2024学年高一上学期期末考试数学试题
解题方法
7 . 求下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a721dfff6dd43d4ec29e2a25b5e791.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2359a74bfccea77024306fa75decc943.png)
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8 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fc36223df826441b197b3f47982232.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fc36223df826441b197b3f47982232.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185a1407715689bb0e3e0d8c98a350ae.png)
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名校
解题方法
9 . 已知
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81b758b1f43814ee9fd359c68e02206.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a080cab44a7d3605430d67b207f9be.png)
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2024-02-23更新
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4卷引用:北京市西城区2020-2021学年高一下学期期末数学试题
10 . (1)已知
是关于
的方程
的一个实根,且
是第一象限角,求
的值;
(2)已知
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecda6051ffac6d2b34273cfe6e3bca26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acafbe152520a9cd4c0a5ff23832e1f7.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5260ba350a8c100cd4766aee2166fd98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f55b8836b41be612a52ca9caf97006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f673723dbbe467d17efe33c3c5f7a94.png)
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2024-02-20更新
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5卷引用:江苏省天一中学2023-2024学年高一上学期期末考试数学试卷
江苏省天一中学2023-2024学年高一上学期期末考试数学试卷(已下线)5.2.2同角三角函数基本关系(第2课时)上海市金山中学2023-2024学年高一下学期3月月考数学试卷(已下线)第四章三角恒等变换章末八种常考题型归类-【帮课堂】(北师大版2019必修第二册)(已下线)专题01 三角-期末考点大串讲(沪教版2020必修二)