解题方法
1 . 如图,ABCD是边长为80米的正方形菜园,计划在矩形ECFG区域种植蔬菜.E,F分别在BC,CD上,G在弧MN上,
米,设矩形ECFG的面积为S(单位:平方米)
(1)若
,请写出S(单位:平方米)关于
的函数关系式;
(2)求S的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfbd83edd3c4f631662afc2b3d3e05e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/50bfcaa7-6c2b-4343-aaa6-a958c54f7b21.png?resizew=141)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e786008371d7ab37d1c782bf5754f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求S的最小值.
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2 . 已知
.
(1)求
和
的值;
(2)若
为第四象限角,当
时,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d585c0f04cd6e187f767be6a8a374cb9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bcb22441213a6684859467b2101df08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d971fc8e14e4172797a8a26f9556095.png)
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2024-02-13更新
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4卷引用:四川省广安市2023-2024学年高一上学期1月期末教学质量检测数学试题
3 . 已知角
,
为锐角,且
,
,则角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9330f5a1902fe99fc5edd744fbe9146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61e2e7cc4834161983649bfac47d872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
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2024-02-13更新
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2卷引用:陕西省咸阳市2024届高三上学期模拟检测(一)文科数学试题
解题方法
4 . 已知
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae702a9be4e9d6079a352e014f39182a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 如图,已知
是
之间的一点,点
到
的距离分别为
,且
是直线
上一动点,作
,且使
与直线
交于点
.设
.
(1)若
,求
的最小值;
(2)若
,求
周长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de8e1438d5c99eb8902fa0f44a0ce35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b721afb477b5e952b82ce210a85cc4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9706bd9d083d7a6f4aaebb880b0ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c499d3ef329f85e59fd72dec6f453bbc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/b84e0eb4-68ca-4b72-b458-3e05e7aa985f.png?resizew=170)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96144368b1b5ca55648a797580f022e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80693c34cb19b4ab4a7d0c1f177674d3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93eb9fe4858b9c56f43137b0e2648dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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6 . 已知都是锐角,
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26df8c6bf396cac07c7b8a1ffbd703ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fe57d4fbae536de2e641d9d349fcf1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512580e3e02e9672a8c7497e94674942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32aca623a9dce4b5337ebf7177b635b.png)
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4卷引用:湖南省浏阳市2023-2024学年高一上学期期末质量监测数学试卷
湖南省浏阳市2023-2024学年高一上学期期末质量监测数学试卷山东省临沂第十八中学2023-2024学年高一下学期2月收心考试数学试题(已下线)8.2.2两家和与差的正弦、正切-同步精品课堂(人教B版2019必修第三册)(已下线)8.2.2 两角和与差的正弦、正切(2)-【帮课堂】(人教B版2019必修第三册)
名校
7 . 已知函数
.
(1)化简
;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6b280322c63bd029ac3b814409d1cd.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95484458f2a104d90cdbf6be4e1648d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe91ce727a65ef27026bf67c45b622e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2ba120fd8b71f004fc910df3e307e1.png)
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2卷引用:湖北省新高考联考协作体2023-2024学年高一上学期期末考试数学试卷
解题方法
8 . 已知
,则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37cc9aec7fd4a5edfb3b1666981ec9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab4b8036746dfc76e103933a91f73b57.png)
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名校
解题方法
9 . 已知函数
.
(1)化简
的解析式;
(2)若
,且
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921f5c4adee9c607496f3bcf99b8fb4f.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57fd7d45d159443d6eef5b368d64216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b32aeff1cf980cfa756a60376d3098a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbe071071dd3918e263414a5d2edda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
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6卷引用:湖北省武汉市第二中学2023-2024学年高一上学期期末数学试卷
湖北省武汉市第二中学2023-2024学年高一上学期期末数学试卷(已下线)专题10.1两角和与差的三角函数-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)8.2.2 两角和与差的正弦、正切(2)-【帮课堂】(人教B版2019必修第三册)江苏省南京市河西外国语学校2023-2024学年高一下学期3月月考数学试卷山东省临沂第十八中学2023-2024学年高一下学期3月阶段性测试数学试题(已下线)专题04三角恒等变换期末6种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)
10 . (1)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59bb6539f03daf9ab48ea262586fddf.png)
(2)已知
是第二象限角,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59bb6539f03daf9ab48ea262586fddf.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f04ae821930016c324ef80c1cc05c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a65ec6ff0e83185adf8cfa41b17245.png)
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