2024高二·全国·专题练习
名校
解题方法
1 . 如图,
是等边三角形,
是
边上的动点(含端点),记
,
.
(1)求
的最大值;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6492fc7ac544c5cb196b3bee457d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226b1dc6b85b6b76c99420be4f82e1d3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/adcd5c0e-fce4-457b-bb70-be053345eaee.png?resizew=152)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbb8946dd3f6ef3e816da7fdca83993.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b2ac64b0463f3fcbb725ea7f59e45c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833243568eaaf9053e68dee1e9289770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb961bd7db3adb76af2d4cedb611bd7.png)
您最近一年使用:0次
名校
解题方法
2 . 记
的内角
、
、
的对边分别为
、
、
,且
.
(1)求
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/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/65469547ddd1bf7bc49a782a40257765.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1892446e9f5c057a6d72a64065d01ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-04-01更新
|
998次组卷
|
5卷引用:陕西省西安市高新第一中学2023-2024学年高二下学期第一次月考数学试题
陕西省西安市高新第一中学2023-2024学年高二下学期第一次月考数学试题(已下线)6.4.3.2?正弦定理15种常考题型归类(2)-高频考点通关与解题策略(人教A版2019必修第二册)安徽省淮南第二中学2023-2024学年高一下学期期中教学检测数学试题(已下线)第九章:解三角形章末重点题型复习--同步精品课堂(人教B版2019必修第四册)河南省焦作市第一中学2023-2024学年高一下学期期中考试数学试题
名校
解题方法
3 . 已知函数的部分图象如图所示,点
为
与
轴的交点,点
,
分别为
的最高点和最低点,而函数
的相邻两条对称轴之间的距离为2,且其在
处取得最小值.
(1)求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若点P为函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdba36d4c2d4acedbd44d08e4c04127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdba36d4c2d4acedbd44d08e4c04127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c1ad29ca45a2cb1d86f41d597a8d29.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f73cd566fb15033944f513a349ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e97f9a0cdecec9f4da4f9f4cbb353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f28b09c6074898b0bf992928336eb5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f676e14621133cab031e1b56f3bb403c.png)
您最近一年使用:0次
2024-04-01更新
|
227次组卷
|
2卷引用:陕西省西安市西安交大附中2023-2024学年高二下学期第一次月考数学试题
名校
解题方法
4 . 某市为提高市民的健康水平,拟在半径为20米的半圆形区域内修建一个健身广场,该健身广场(如图所示的阴影部分)分休闲健身和儿童活动两个功能区,图中矩形
区域是休闲健身区,以
为底边的等腰三角形区域
是儿童活动区,
,
,
三点在圆弧上,
中点恰好在圆心
.设
,健身广场的面积为
.
关于
的函数解析式;
(2)当角
取何值时,健身广场的面积最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813b1b0327154103afd7a728f00cfeda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)当角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2024-04-01更新
|
266次组卷
|
2卷引用:山东省济宁市第一中学2023-2024学年高二下学期质量检测(二)数学试题
名校
解题方法
5 . 在
中,角
所对的边
成等比数列,角
是
与
的等差中项.
(1)若
,求
的面积;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13a05f5aca98574bb1f927123490de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367de5eb4da2eb016a6bfc78e25f4ceb.png)
您最近一年使用:0次
2024-03-29更新
|
515次组卷
|
3卷引用:湖南省邵阳市第二中学2023-2024学年高二下学期4月期中考试数学试题
名校
解题方法
6 . 如图,在
中,点D在边BC上,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/c2bee236-5410-4fbe-b480-c471936550b9.png?resizew=162)
(1)若
,
,
,求AB;
(2)若
是锐角三角形,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cabcef1cee1213140371c499339864.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/c2bee236-5410-4fbe-b480-c471936550b9.png?resizew=162)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30befab772a51c5727293a5cd056879e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe7a93172d308a58200e3c722fe1072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d34198d24fd3ee8dfc0f81a5479b6d.png)
您最近一年使用:0次
2024-03-29更新
|
1337次组卷
|
3卷引用:河南省郑州市宇华实验学校2023-2024学年高二下学期3月月考数学试题
河南省郑州市宇华实验学校2023-2024学年高二下学期3月月考数学试题青海西宁市湟川中学2023-2024学年高三下学期开学考试理科数学试题(已下线)专题1.11解三角形常考大题归类-重难点突破及混淆易错规避(人教A版2019必修第二册)
名校
7 . 已知
的内角
,
,
的对边分别为
,
,
,且
.
(1)求角
;
(2)若
是
的角平分线,
,
的面积为
,求
的值.
![](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/cebb6ade0185355b095ec3e6baddef8a.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73c03338db66b081700f70bcf9a0989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bb52bec7f09eaf568dca3b4a4fc717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2024-03-27更新
|
1385次组卷
|
5卷引用:云南省开远市第一中学校2023-2024学年高二下学期期中考试数学试题
名校
解题方法
8 . 在中,角
所对的边分别为
,其中
,
.
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5fc4ad65b723b6a8da4c8dac154e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c535685e21f48d566bc47861b7fe04e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d03d1886021ce93c156a0b67653e45.png)
您最近一年使用:0次
2024-03-26更新
|
1020次组卷
|
2卷引用:广东省汕头市潮阳实验学校2023-2024学年高二下学期第一次月考数学试题
名校
9 . 某中学为美化校园将一个半圆形边角地改造为花园.如图所示,
为圆心,半径为
千米,点
、
、
都在半圆弧上,设
,
,其中
.
、
、
三部分组成,求当
取何值时,参观的线路最长;
(2)若在花园内的扇形
和四边形
内种满杜鹃花,求当
取何值时,杜鹃花的种植总面积最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9cded3be0e3c88a3f00550eacd4f313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297f91f8de05cd18a6053b675836d59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f63ceea8e3338aea834d5f8187f80f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c023f4b501684abd869b36d6e6c7f21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)若在花园内的扇形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f11db05569a88a3da8d4b635d0ff94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73fcc14ccfc36cf709bf5a4aa32dfa00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2024-03-23更新
|
260次组卷
|
7卷引用:5.3.2课时3导数在解决实际问题中的应用 第一练 练好课本试题
(已下线)5.3.2课时3导数在解决实际问题中的应用 第一练 练好课本试题(已下线)2.7导数的应用(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)福建省宁德市古田县第一中学2023-2024学年高二下学期第一次月考数学试卷上海市松江一中2024届高三下学期阶段测试1数学试题(已下线)导数及其应用-综合测试卷A卷(已下线)解三角形-综合测试卷A卷上海市浦东新区建平中学2024届高三上学期11月质量检测数学试题
名校
解题方法
10 . 已知函数
的最小正周期为
.
(1)求
的值,并写出
的对称轴方程;
(2)在
中,角
的对边分别是
,且满足
,求函数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51bc6edbe157b49f2e61f9beb16042f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b3a91ccf6028608cd03df7072f6536.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebe81d90dad0db8d1883ead8cc909f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414caeade1c24773a72ffce39821069e.png)
您最近一年使用:0次
2024-03-22更新
|
581次组卷
|
2卷引用:上海市松江二中2023-2024学年高二下学期3月月考数学试卷