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解题方法
1 . 若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a7de5b70003502e40b95b3b7d3d933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31cdae6106dbdaf726364c27ddc133b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea16125a2b2462fc9a5d8e943c32cda.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:四川省内江市第六中学2023-2024学年高一下学期期中考试数学试卷
四川省内江市第六中学2023-2024学年高一下学期期中考试数学试卷河南省新乡市2023-2024学年高一上学期期末测试数学试题(已下线)8.2.4三角恒等变换的应用-同步精品课堂(人教B版2019必修第三册)(已下线)专题01 三角函数公式常考题型归类-期末考点大串讲(人教B版2019必修第三册)(已下线)专题05 三角恒等变换的8种常考题型归类-期末真题分类汇编(北师大版2019必修第二册)
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2 . 函数
,
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24c819039f2cbdd46690bb56feadde8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
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3 . 在
中,角A,B,C所对的边分别为a,b,c,
.
(1)求角C的大小;
(2)若
,
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2117bffd2960ce503af157058f7ff98a.png)
(1)求角C的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3卷引用:四川省泸州高级中学校2023-2024学年高一下学期5月期中考试数学试题
四川省泸州高级中学校2023-2024学年高一下学期5月期中考试数学试题陕西省西安市南开高级中学2023-2024学年高一下学期五月月考数学试卷(已下线)高一下期末考前押题卷01-期末考点大串讲(人教B版2019)
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解题方法
4 . 在锐角
中,内角A,B,C所对的边分别为a,b,c,满足
.
(1)求证:
;
(2)若
,求a边的范围;
(3)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8e5ce6c55a720a332a08c07f1a89a1.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2264c134952d41fb9bcb90e6c72c83.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9563e5c29f03707996eb761fba29ce21.png)
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5 . 求值
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa7ab1c7bfffb5028f135eeb8fe4a4d.png)
A.![]() | B.![]() | C.1 | D.![]() |
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6 . 函数
的一段图象如图所示.
的解析式及单调递增区间;
(2)求函数
在
上的值域;
(3)若不等式
对
,
上恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94ed010c883085b3a47f18da045ae56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d3eabbc41f8bec790969adcf1ce046.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8eef1fd6d04d8cd94001a72c4fbf2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137c79bfacb1a30d25baf98739b2eb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ab04ffcc9868b141e4d3555b32fd44.png)
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7 . 如图,
为正方形,
,
,点
为直角坐标平面内的一点,M为线段
的中点,设
.
的表达式;
(2)当
取最大值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5558ffa6dc28d437c0467c7f361d444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22835cac87fea3afbcf4b290b226a86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8a9d8828280d1fd63ea218ca1e7d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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解题方法
8 . 在条件:①
;②
;③
中任选一个,补充在下面的题目中,并求解.
已知
,且满足条件______.
(1)求
的值;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99b27b991181271d728cd2f2df78fa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01abbf24cb877b763aea5d8b0200312b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf62b180b404b737623e5eedf2bccee0.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc9cfe7478a6a861fdbc632936f9522.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4952773d616eba12475a5446ad347bfb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be2e0a0816bc26d430622d24909ef97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07ae567e9e9ab991baf76be53b70bd18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
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解题方法
9 . 为了丰富同学们的课外实践活动,某中学拟对生物实践基地(△ABC区域)进行分区改造.△BNC区域为蔬菜种植区,△CMA区域规划为水果种植区,蔬菜和水果种植区由专人统一管理,△MNC区域规划为学生自主栽培区.△MNC的周围将筑起护栏.已知
m,
m,
,
,设
.
m,求护栏的长度(△MNC的周长);
(2)试用
表示△MNC的面积,并研究△MNC的面积是否有最小值?若有,请求出其最小值;若没有,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0566be94b1ed3e5d250ca530eeb529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd4997da49b3dfe98144ad13aed0d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5cf48407af008db11eb4f236691d741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd66efa75728f06d56c53886b58424c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb12ea3cc86c6d177447ec2a222ffd7.png)
(2)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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解题方法
10 . 在锐角
中,内角
,
,
的对边分别为
,
,
,且满足
.则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820ceff02461fde56a0db6580dd55039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b45f1b69668bbb9a7656368b81dd3e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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